{"index_struct_id": "9545198f-6275-4a8f-ac57-b155146cfb6e", "docstore": {"docs": {"9545198f-6275-4a8f-ac57-b155146cfb6e": {"text": null, "doc_id": "9545198f-6275-4a8f-ac57-b155146cfb6e", "embedding": null, "extra_info": null, "nodes_dict": {"3217799382338780687": {"text": " ix \n\u0001 \u00cdNDICE \u0001 \n \nCAP\u00cdTULO 1......................................... ................................................... ................................................... ..1 \n Quais as diferen\u00e7as entre Estat\u00edstica Descritiva , Anal\u00edtica e Inferencial?......................... ......................2 \n Quais as t\u00e9cnicas estat\u00edsticas mais utilizadas? ................................................... ....................................3 \n O que as denomina\u00e7\u00f5es estat\u00edstica param\u00e9trica e n\u00e3o-param\u00e9trica significam?........................ ...........7 \n Como surgiu a Estat\u00edstica Moderna?.............. ................................................... .....................................8 \n E o que \u00e9 Bioestat\u00edstica?....................... ................................................... ..............................................9 \n \nCAP\u00cdTULO 2......................................... ................................................... ................................................... 13 \n O que s\u00e3o vari\u00e1veis?............................ ................................................... ..............................................14 \n Como classificar as vari\u00e1veis?.................. ................................................... .........................................14 \n Quanto \u00e0 natureza qualitativa ou quantita tiva............................................... ...................................14 \n Quanto \u00e0 posi\u00e7\u00e3o no quadro de hip\u00f3teses da pesquisa.......................................... ........................15 \n Quanto \u00e0 sua express\u00e3o em valores cont\u00ednuo s ou n\u00e3o........................................... ........................18 \n Quanto ao n\u00famero de categorias............ ................................................... ......................................19 \n Quanto \u00e0 fixa\u00e7\u00e3o pr\u00e9via das freq\u00fc\u00eancias n as categorias...................................... ...........................19 \n Quanto \u00e0 individualiza\u00e7\u00e3o da informa\u00e7\u00e3o........ ................................................... ..............................20 \n Quanto \u00e0 modalidade de escala............ ................................................... ........................................20 \n \nCAP\u00cdTULO 3......................................... ................................................... ................................................... 23 \n O que \u00e9 amostragem e por que realiz\u00e1-la?....... ................................................... .................................24 \n Quais os tipos de amostragens mais utilizados?.. ................................................... .............................26 \n Amostragem aleat\u00f3ria", "doc_id": "7389abde-fed2-4823-be03-395707f199bd", "embedding": null, "extra_info": null, "index": 0, "child_indices": [], "ref_doc_id": "c87fefc3-d573-489d-8532-80eaaef30ae0", "node_info": {"start": 0, "end": 2779}}, "4750040554828458935": {"text": "simples............... ................................................... .......................................26 \n Amostragem aleat\u00f3ria sistem\u00e1tica.......... ................................................... ......................................26 \n Amostragem aleat\u00f3ria por conglomerados.. ................................................... .................................27 \n Amostragem aleat\u00f3ria estratificada e pro porcional.......................................... ................................27 \n Amostragem por conveni\u00eancia............... ................................................... .......................................29 \nAmostragem de volunt\u00e1rios.......................... ................................................... .................................29 \n \nCAP\u00cdTULO 4......................................... ................................................... ................................................... 31 \nQuais os dados necess\u00e1rios para utilizarmos a Bioes tat\u00edstica?......................................... ....................32 \nQuais as t\u00e9cnicas mais aplicadas nas primeiras etap as de descri\u00e7\u00e3o de dados quantitativos?............ 34 \n Organiza\u00e7\u00e3o dos dados.................... ................................................... .............................................35 \n C\u00e1lculo de freq\u00fc\u00eancias..................... ................................................... .............................................36 \n \nCAP\u00cdTULO 5......................................... ................................................... ................................................... 41 \n O que s\u00e3o medidas de tend\u00eancia central e quais as suas aplica\u00e7\u00f5es?................................ .................42 \n Moda...................................... ................................................... ................................................... .....42 \n M\u00e9dia aritm\u00e9tica.................................. ................................................... ...........................................44 \n M\u00e9dia ponderada........................... ................................................... ................................................46 \nMediana............................................ ................................................... ..............................................47 \n Em quais circunst\u00e2ncias deveremos usar a moda, a m\u00e9dia ou a mediana?.............................. ...........52 \n x\nCAP\u00cdTULO 6......................................... ................................................... ................................................... 57 \n O que s\u00e3o medidas de dispers\u00e3o e quais as suas aplica\u00e7\u00f5es?........................................ ....................58 \n Amplitude................................. ................................................... ................................................... ..59 \n Desvio m\u00e9dio...............................", "doc_id": "8bf38401-1d79-4bba-9b20-c104546477e6", "embedding": null, "extra_info": null, "index": 1, "child_indices": [], "ref_doc_id": "c87fefc3-d573-489d-8532-80eaaef30ae0", "node_info": {"start": 2780, "end": 5851}}, "3801539934011381561": {"text": "................................................... .................................................60 \n Vari\u00e2ncia.................................. ................................................... ................................................... ..62 \n Desvio-padr\u00e3o.............................. ................................................... .................................................65 \n Coeficiente de varia\u00e7\u00e3o................... ................................................... ..............................................66 \n \nCAP\u00cdTULO 7......................................... ................................................... ................................................... 69 \n Quais as principais medidas de posi\u00e7\u00e3o?........ ................................................... ...................................70 \n Porcentil................................. ................................................... ................................................... ....71 \n Quartil........................................ ................................................... ................................................... .72 \nComo os quartis s\u00e3o calculados?.................... ................................................... ...................................73 \n Quais as principais aplica\u00e7\u00f5es dos porcentis?... ................................................... ................................78 \n Amplitude interquartil.......................... ................................................... ................................................80 \n \nCAP\u00cdTULO 8......................................... ................................................... ................................................... 85 \n Quadro......................................... ................................................... ................................................... ....86 \n Tabela......................................... ................................................... ................................................... .....86 \n Gr\u00e1fico........................................ ................................................... ................................................... .....93 \n Cartograma................................ ................................................... ................................................... 93 \n Diagrama................................... ................................................... ................................................... 93 \nDe setores......................................... ................................................... ........................................93 \n De barras.............................. ................................................... ................................................... .95 \n De barras de erro...................... ................................................... ................................................98 \n Histograma........................... ................................................... ................................................... 100 \nPol\u00edgono de freq\u00fc\u00eancias............................ ................................................... ..............................102 \n De talo e folha........................ ................................................... .................................................10 4 \n De pontos............................ ................................................... ................................................... .105 \n De linhas.............................. ................................................... ................................................... 105 \n ", "doc_id": "0c6b3b34-e085-4e10-897f-b70e1b5cef9c", "embedding": null, "extra_info": null, "index": 2, "child_indices": [], "ref_doc_id": "c87fefc3-d573-489d-8532-80eaaef30ae0", "node_info": {"start": 5852, "end": 9728}}, "4631475980536145298": {"text": " De dispers\u00e3o......................... ................................................... ..................................................1 07 \n De caixa.............................. ................................................... ................................................... .109 \n De linhas de afastamento.............. ................................................... .........................................113 \n \nCAP\u00cdTULO 9......................................... ................................................... .................................................11 7 \n O que s\u00e3o distribui\u00e7\u00f5es de freq\u00fc\u00eancias e distri bui\u00e7\u00f5es probabil\u00edsticas e quais as suas aplica\u00e7\u00f5es? .118 \n Distribui\u00e7\u00e3o Binomial.......................... ................................................... ..............................................122 \n Distribui\u00e7\u00e3o de Poisson........................ ................................................... ............................................122 \n Distribui\u00e7\u00f5es reais............................................... ................................................... .............................124 \n Distribui\u00e7\u00e3o normal.............................. ................................................... .............................................125 \n Defini\u00e7\u00e3o estat\u00edstica de normalidade............ ................................................... ....................................125 \n Outros crit\u00e9rios para defini\u00e7\u00e3o de normalidade.. ................................................... ..............................127 \n Propriedades matem\u00e1ticas da distribui\u00e7\u00e3o norma l.................................................. ............................127 \nDistribui\u00e7\u00e3o normal padr\u00e3o......................... ................................................... ......................................130 \n Obten\u00e7\u00e3o de \u00e1reas sob a curva normal padr\u00e3o.... ................................................... ............................133 \n xi \n \nCAP\u00cdTULO 10........................................ ................................................... ................................................139 \n PRIMEIRA PARTE................................. ................................................... ..........................................140 \n Por que precisamos fazer infer\u00eancia estat\u00eds tica?.............................................. .............................140 \n O que \u00e9 afinal infer\u00eancia estat\u00edstica?... ................................................... ........................................142 \n O que \u00e9 infer\u00eancia n\u00e3o-estat\u00edstica?....... ................................................... ......................................142 \n Como se distribuem as freq\u00fc\u00eancias dos resultado s de diferentes amostras?.......................... .....143 \n Erro-padr\u00e3o................................... ................................................... ..............................................147", "doc_id": "8711de80-abf4-4188-aa8a-3361f816a42a", "embedding": null, "extra_info": null, "index": 3, "child_indices": [], "ref_doc_id": "c87fefc3-d573-489d-8532-80eaaef30ae0", "node_info": {"start": 9729, "end": 12810}}, "4102987120870946398": {"text": "\n Teorema central do limite.................. ................................................... ..........................................149 \n \n SEGUNDA PARTE.................................. ................................................... .........................................150 \n Como a infer\u00eancia estat\u00edstica \u00e9 feita?..... ................................................... ....................................150 \n Teste de hip\u00f3teses estat\u00edsticas / Infer\u00ean cia sobre uma m\u00e9dia / Teste z...................................150 \n Erros envolvidos na infer\u00eancia estat\u00edstica. ................................................... ..................................167 \n \n TERCEIRA PARTE................................. ................................................... .........................................177 \n O que \u00e9 um intervalo de confian\u00e7a?...... ................................................... .....................................177 \n \nCAP\u00cdTULO 11........................................ ................................................... ................................................185 \n Quando devemos aplicar o teste z ou o t?.................................................. .......................................186 \n Como realizamos o teste t?.................................................. ................................................... ...........193 \nC\u00e1lculo de intervalo de confian\u00e7a usando valor de T................................................... ......................195 \n \nCAP\u00cdTULO 12........................................ ................................................... ................................................201 \n Quando a infer\u00eancia estat\u00edstica \u00e9 sobre duas m \u00e9dias e n\u00e3o sobre apenas uma?...................... .......202 \n Teste z .................................................. ................................................... .....................................206 \n C\u00e1lculo de intervalo de confian\u00e7a utiliz ando a distribui\u00e7\u00e3o normal padr\u00e3o .... ...............................210 \n Teste da raz\u00e3o de vari\u00e2ncias.............. ................................................... ........................................212 \n Teste t................................................... ................................................... ......................................217 \n C\u00e1lculo de intervalo de confian\u00e7a usando valor de T................................................... .................222 \n Teste t\u2019 ................................................... ................................................... ....................................223 \n C\u00e1lculo de intervalo de confian\u00e7a usando valor de", "doc_id": "43014a3e-df83-419b-b042-9a42ec95fa68", "embedding": null, "extra_info": null, "index": 4, "child_indices": [], "ref_doc_id": "c87fefc3-d573-489d-8532-80eaaef30ae0", "node_info": {"start": 12811, "end": 15636}}, "1813864316353456711": {"text": "T \u2019................................................... ..............226 \n \nCAP\u00cdTULO 13........................................ ................................................... ................................................231 \n Qual o teste a ser aplicado quando as amostra s n\u00e3o forem independentes?......................... ...........232 \n Teste t para amostras n\u00e3o independentes................... ................................................... ....................233 \n C\u00e1lculo de intervalo de confian\u00e7a para amostra s n\u00e3o independentes................................ ................239 \n xii \n \nCAP\u00cdTULO 14........................................ ................................................... ................................................243 \n E se estivermos comparando propor\u00e7\u00f5es e n\u00e3o m\u00e9dia s?................................................. .................244 \nPor que podemos usar o teste z tamb\u00e9m para infer\u00eancia sobre propor\u00e7\u00f5es?.......... ..........................244 \n Como fazemos infer\u00eancia sobre uma propor\u00e7\u00e3o ut ilizando o teste z?................................................24 7 \n Como fazemos infer\u00eancia sobre duas propor\u00e7\u00f5es utilizando o teste z?............................................ 252 \nCAP\u00cdTULO 15........................................ ................................................... ................................................261 \n Quais os fundamentos estat\u00edsticos para os c\u00e1lc ulos do tamanho da amostra?........................ .........262 \n Como calculamos o tamanho da amostra para estimar uma m\u00e9dia?........................................ .........262 \n Como calculamos o tamanho da amostra para estim ar uma propor\u00e7\u00e3o?.................................. ........269 \n \nCAP\u00cdTULO 16........................................ ................................................... ................................................273 \n Qual a aplica\u00e7\u00e3o mais comum do teste qui-quadrado? Por que esse teste recebe \n essa denomina\u00e7\u00e3o?........................ ................................................... ............................274 \n \n Como realizamos o teste qui-quadrado para aval iar a independ\u00eancia entre vari\u00e1veis?............... ......274 \n Existem outras aplica\u00e7\u00f5es para o teste qui-quadrad o?................................................. ......................287 \n \nCAP\u00cdTULO 17........................................ ................................................... ................................................291 \n Como realizamos o", "doc_id": "89bc95ab-b03b-4c88-9fff-940e22fe5565", "embedding": null, "extra_info": null, "index": 5, "child_indices": [], "ref_doc_id": "c87fefc3-d573-489d-8532-80eaaef30ae0", "node_info": {"start": 15637, "end": 18232}}, "6322355965178378479": {"text": "teste exato de Fisher?....... ................................................... ...............................292 \nPor que este teste \u00e9 chamado de exato?............. ................................................... ............................294 \n \n AP\u00caNDICE 1....................................... ................................................... .................................................30 1 \n AP\u00caNDICE 2....................................... ................................................... .................................................31 3 \n AP\u00caNDICE 3....................................... ................................................... .................................................31 7 \n \n \n 1 \nCAP\u00cdTULO 1 \n \n\u0001 Quais as diferen\u00e7as entre Estat\u00edstica Descritiva, A nal\u00edtica e Inferencial? \n\u0001 Quais as t\u00e9cnicas estat\u00edsticas mais utilizadas? \n\u0001 O que s\u00e3o contagens? \n\u0001 O que s\u00e3o medi\u00e7\u00f5es? \n\u0001 Como escolher a t\u00e9cnica estat\u00edstica mais adequada a cada situa\u00e7\u00e3o? \n\u0001 O que significam as denomina\u00e7\u00f5es \u201cestat\u00edstica param \u00e9trica\u201d e \u201cn\u00e3o-param\u00e9trica\u201d? \n\u0001 Como surgiu a Estat\u00edstica Moderna? \n\u0001 O que \u00e9 Bioestat\u00edstica? \n\u0001 Em que etapas", "doc_id": "f3db5b35-2531-4018-a711-9b79b9ccdc36", "embedding": null, "extra_info": null, "index": 6, "child_indices": [], "ref_doc_id": "c87fefc3-d573-489d-8532-80eaaef30ae0", "node_info": {"start": 18233, "end": 19679}}, "8813623439314093812": {"text": "da pesquisa epidemiol\u00f3gica utilizamos a Estat\u00edstica? \n\u0001 Em que etapas e em quais tipos de estudos epidemiol \u00f3gicos utilizamos a Estat\u00edstica? \n\u0001 Como saber qual a t\u00e9cnica estat\u00edstica mais adequada a cada situa\u00e7\u00e3o? \n\u0001 O que \u00e9 Estat\u00edstica Bayesiana? \n\u0001 \u00c9 poss\u00edvel gerar conhecimento cient\u00edfico sem a Esta t\u00edstica? \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n 2\n \n \n \u2500 Quais as diferen\u00e7as entre Estat\u00edstica Descritiva, A nal\u00edtica e Inferencial? \n \n \u2500 No \u00e2mbito deste livro dividiremos a Estat\u00edstica em tr\u00eas partes, de acordo com a finalidade de cada \numa. Se o seu objetivo for descrever quantitativamente uma determinada realidade voc\u00ea d ever\u00e1 utilizar as \nt\u00e9cnicas da Estat\u00edstica Descritiva. Se quiser anali sar quantitativamente essa realidade, ou seja, investi gar as \nrela\u00e7\u00f5es entre os fatores descritos, usar\u00e1 os proce dimentos da Estat\u00edstica Anal\u00edtica. Mas, se o seu ob jetivo for \ninferir , isto \u00e9, avaliar se os resultados obtidos em uma a mostra aleat\u00f3ria podem ser generalizados para a \npopula\u00e7\u00e3o da qual a amostra foi retirada, utilizar\u00e1 as t\u00e9cnicas da Estat\u00edstica Inferencial. \n \nA Estat\u00edstica pode ser dividida em tr\u00eas partes: \nEstat\u00edstica Descritiva Descreve Caracteriza\u00e7\u00e3o dos \nindiv\u00edduos estudados \nEstat\u00edstica Anal\u00edtica Analisa Investiga\u00e7\u00e3o das rela\u00e7\u00f5es \nentre as caracter\u00edsticas \nestudadas \nEstat\u00edstica Inferencial Infere Avalia\u00e7\u00e3o da possibilidade \nde generaliza\u00e7\u00e3o \n \n Se essa divis\u00e3o da Estat\u00edstica ainda", "doc_id": "243da77b-24f1-4964-926c-91c18eeb9ba2", "embedding": null, "extra_info": null, "index": 7, "child_indices": [], "ref_doc_id": "c87fefc3-d573-489d-8532-80eaaef30ae0", "node_info": {"start": 19680, "end": 21101}}, "7323957023432546461": {"text": "n\u00e3o ficou cla ra para voc\u00ea, tenha paci\u00eancia e aguarde um pouco, \nporque com certeza isso ficar\u00e1 mais claro ao longo deste livro. \n \n \u2500 Mas, se essas partes da Estat\u00edstica s\u00e3o mesmo difer entes, de que consiste afinal a \nEstat\u00edstica Anal\u00edtica? Esta n\u00e3o \u00e9 a mesma Estat\u00edsti ca Inferencial que usa os famosos testes de \nsignific\u00e2ncia estat\u00edstica? \n \n \u2500 Muitas vezes a Estat\u00edstica Anal\u00edtica e a Estat\u00edsti ca Inferencial s\u00e3o consideradas como uma s\u00f3 \nmodalidade, mas achamos essa equipara\u00e7\u00e3o inadequada , pois podemos utilizar as t\u00e9cnicas da primeira sem \no uso de procedimentos inferenciais, e vice-versa. A primeira situa\u00e7\u00e3o ocorrer\u00e1, p. ex., quando estive rmos \nconsiderando dados obtidos de toda a popula\u00e7\u00e3o ou d e amostras n\u00e3o-aleat\u00f3rias. Nessas situa\u00e7\u00f5es n\u00e3o faz \nsentido avaliarmos se o resultado obtido \u00e9 estatist icamente significante (Estat\u00edstica Inferencial), ma s seria \ninteiramente necess\u00e1rio utilizarmos indicadores qua ntitativos para a an\u00e1lise desses dados (Estat\u00edstica \nAnal\u00edtica). Mais adiante, no cap\u00edtulo 10 (p\u00e1ginas 1 42 e 143), explicaremos o por qu\u00ea de n\u00e3o fazer sent ido \naplicarmos testes de signific\u00e2ncia estat\u00edstica quan do investigamos toda uma popula\u00e7\u00e3o ou amostra n\u00e3o-\naleat\u00f3ria dessa popula\u00e7\u00e3o. \nOutra maneira de lhe responder \u00e9 com um exemplo: \n Suponha que voc\u00ea esteja realizando um estudo trans versal 1 para investigar uma poss\u00edvel associa\u00e7\u00e3o \n ", "doc_id": "9eda186b-546c-4d0d-b384-0d0327d215ef", "embedding": null, "extra_info": null, "index": 8, "child_indices": [], "ref_doc_id": "c87fefc3-d573-489d-8532-80eaaef30ae0", "node_info": {"start": 21102, "end": 22532}}, "6489696792245892096": {"text": " \n1 Estudo transversal: estudo epidemiol\u00f3gico no qual as informa\u00e7\u00f5es sobre a(s) exposi\u00e7\u00e3o(\u00f5es) de interes se e sobre a(s) \ndoen\u00e7a(s) estudada(s) s\u00e3o coletadas simultaneamente , de modo a obtermos a situa\u00e7\u00e3o de sa\u00fade existente em um certo \n 3\nentre dieta e c\u00e2ncer da boca. Na descri\u00e7\u00e3o (caracte riza\u00e7\u00e3o) dos indiv\u00edduos estudados voc\u00ea utilizaria \nprocedimentos da Estat\u00edstica Descritiva, verificand o quantos s\u00e3o homens ou mulheres, quantos negros ou \nbrancos, etc.; na avalia\u00e7\u00e3o da exist\u00eancia, dire\u00e7\u00e3o e magnitude da associa\u00e7\u00e3o de interesse, lan\u00e7aria m\u00e3 o das \nt\u00e9cnicas da Estat\u00edstica Anal\u00edtica, comparando, p. e x., a propor\u00e7\u00e3o de doentes em indiv\u00edduos com um tip o de \ndieta \u00e0 propor\u00e7\u00e3o de doentes naqueles com outro tip o de dieta e, supondo que o seu estudo tenha sido \nrealizado em uma amostra e que o m\u00e9todo de amostrag em tenha sido aleat\u00f3rio , aplicaria os testes de \nsignific\u00e2ncia da Estat\u00edstica Inferencial. Estes tes tes serviriam para verificar se os resultados encon trados no \nestudo realizado seriam v\u00e1lidos para representar os verdadeiros resultados da popula\u00e7\u00e3o de onde a \u00fanic a \namostra que voc\u00ea estudou foi retirada. Informa\u00e7\u00f5es populacionais quase sempre n\u00e3o s\u00e3o conhecidas, pois \ndemandam muito tempo e trabalho, sendo muito caro o bt\u00ea-las. Geralmente, ent\u00e3o, estimamos informa\u00e7\u00f5es \npopulacionais com base em resultados obtidos em uma ou em poucas amostras, atrav\u00e9s dos procedimentos \nda Estat\u00edstica Inferencial. \n Assim, poder\u00edamos descrever os indiv\u00edduos estudados", "doc_id": "5ee59e2a-0532-48fc-84b4-96120738ef88", "embedding": null, "extra_info": null, "index": 9, "child_indices": [], "ref_doc_id": "c87fefc3-d573-489d-8532-80eaaef30ae0", "node_info": {"start": 22533, "end": 24025}}, "2251705997667868439": {"text": "segundo o sexo, a ra\u00e7a, o estado civil, etc., \nanalisar a associa\u00e7\u00e3o entre dieta e c\u00e2ncer da boca calculan do a preval\u00eancia deste c\u00e2ncer nos indiv\u00edduos que \nconsomem uma determinada dieta e comparando-a \u00e0 pre val\u00eancia deste mesmo c\u00e2ncer naqueles que \nconsomem um outro tipo de dieta, obtendo, p. ex., u ma raz\u00e3o entre estas preval\u00eancias (RP) , e poder\u00edamos \ntamb\u00e9m aplicar um teste de signific\u00e2ncia estat\u00edstic a (nesse caso o teste qui-quadrado, que ser\u00e1 aborda do no \ncap\u00edtulo 16) ou calcular um intervalo de confian\u00e7a (cap\u00edtulo 10), para avaliarmos se seria poss\u00edvel in ferir para \na popula\u00e7\u00e3o inteira os resultados obtidos na \u00fanica amostra ou nas poucas amostras retiradas dessa \npopula\u00e7\u00e3o. \n \n \u2500 Quais as t\u00e9cnicas estat\u00edsticas mais utilizadas? \n \n\u2500 Antes de lhe respondermos, ser\u00e1 importante destaca rmos que os dados a partir dos quais toda a \nEstat\u00edstica \u00e9 produzida consistem de contagens e/ou medi\u00e7\u00f5es. \n \n\u2500 Contagens, medi\u00e7\u00f5es? \n \n\u2500 Sim. Contagens, como sua denomina\u00e7\u00e3o indica, s\u00e3o n \u00fameros que resultam de contagens feitas \npelos estat\u00edsticos nos indiv\u00edduos estudados. Podemo s contar quantos eram do sexo masculino ou do \nfeminino, da ra\u00e7a negra ou branca, etc. Essas conta gens nos permitir\u00e3o descrever, analisar e/ou inferi r, a \ndepender dos objetivos da nossa pesquisa. \nAs medi\u00e7\u00f5es, como tamb\u00e9m sua denomina\u00e7\u00e3o indica, s\u00e3 o medidas de interesse para o estudo, feitas \nnos indiv\u00edduos estudados. Medidas da altura, da gli cemia, da concentra\u00e7\u00e3o de chumbo no sangue, etc., s \u00e3o \nexemplos", "doc_id": "dfd675d5-2702-442b-899d-c3c0c928d895", "embedding": null, "extra_info": null, "index": 10, "child_indices": [], "ref_doc_id": "c87fefc3-d573-489d-8532-80eaaef30ae0", "node_info": {"start": 24026, "end": 25529}}, "5318307973644682524": {"text": "etc., s \u00e3o \nexemplos desse tipo de informa\u00e7\u00e3o quantitativa. Ess as medi\u00e7\u00f5es tamb\u00e9m nos permitir\u00e3o descrever, analis ar \ne/ou inferir. No cap\u00edtulo 4 (p\u00e1ginas 32 a 34) expli caremos mais detalhadamente as contagens e medi\u00e7\u00f5es . \n Agora, vamos listar abaixo as principais t\u00e9cnicas das Estat\u00edsticas Descritiva, Anal\u00edtica e Inferencia l, \n \nmomento em uma determinada popula\u00e7\u00e3o. Se desejar re vise esse tema em: Medronho RA, Carvalho DM, Bloch KV, Luiz \nRR, Werneck GL, editores. Epidemiologia. S\u00e3o Paulo (SP): Atheneu; 2002. \n 4\ncom o intuito, por enquanto, de lhe dar uma id\u00e9ia d os procedimentos que poder\u00e3o ser utilizados em suas \npesquisas, destacando os que ser\u00e3o abordados neste livro e que s\u00e3o de aplica\u00e7\u00e3o mais constante. N\u00e3o se \npreocupe com o grande n\u00famero de t\u00e9cnicas que ver\u00e1 , pois, nos esfor\u00e7aremos para explic\u00e1-las da forma mais \nclara poss\u00edvel. N\u00e3o se preocupe tamb\u00e9m com o grande n\u00famero de t\u00e9cnicas que n\u00e3o ver\u00e1 neste livro. Muitas \ndessas n\u00e3o ser\u00e3o necess\u00e1rias em sua vida profission al, e outras, voc\u00ea aprender\u00e1 ao longo de outros n\u00edv eis de \nforma\u00e7\u00e3o,", "doc_id": "617d5887-5e84-4c35-a85e-57ea7b11aaf7", "embedding": null, "extra_info": null, "index": 11, "child_indices": [], "ref_doc_id": "c87fefc3-d573-489d-8532-80eaaef30ae0", "node_info": {"start": 25513, "end": 26746}}, "6868666045544589861": {"text": "eis de \nforma\u00e7\u00e3o, como Cursos de Especializa\u00e7\u00e3o, Mestrado, Doutorado e P\u00f3s-doutorado, ou quando for necess\u00e1rio \naplic\u00e1-las, durante a realiza\u00e7\u00e3o de suas pesquisas. \n \nT\u00c9CNICAS MAIS UTILIZADAS NA ESTAT\u00cdSTICA DESCRITIVA \n\u2022 C\u00e1lculo de freq\u00fc\u00eancias simples, simples acumulada, relativa e relativa acumulada \n\u2022 C\u00e1lculo de medidas de tend\u00eancia central (moda, m\u00e9d ia aritm\u00e9tica, m\u00e9dia ponderada, mediana) \n\u2022 C\u00e1lculo de medidas de dispers\u00e3o (amplitude, desvio m\u00e9dio, vari\u00e2ncia, desvio-padr\u00e3o, coeficiente \nde varia\u00e7\u00e3o) \n\u2022 C\u00e1lculo de medidas de posi\u00e7\u00e3o (porcentis) \n\u2022 Elabora\u00e7\u00e3o de tabelas univari\u00e1veis (veja a defini\u00e7 \u00e3o de vari\u00e1vel na p\u00e1gina 14) \n\u2022 Elabora\u00e7\u00e3o de gr\u00e1ficos (cartograma, histograma, di agrama de talo e folha, diagrama de caixa, \ndiagrama de setores, diagrama de barras, etc.) \n\u2022 Avalia\u00e7\u00e3o da forma como as freq\u00fc\u00eancias de uma vari \u00e1vel se distribuem \n \nSe voc\u00ea quiser detalhar mais e/ou tornar sua descri \u00e7\u00e3o mais robusta (mais fidedigna, mais v\u00e1lida), \npoder\u00e1 utilizar um conjunto de procedimentos denomi nados an\u00e1lise explorat\u00f3ria de dados. Essas t\u00e9cnicas s\u00e3o \nabordadas em livros espec\u00edficos e n\u00e3o ser\u00e3o abordad as neste livro. A an\u00e1lise explorat\u00f3ria de dados tam b\u00e9m \ninclui a elabora\u00e7\u00e3o de diagramas. Apenas dois deles , o diagrama de talo e folha, e o de caixa ser\u00e3o aq ui \napresentados. Se voc\u00ea estiver interessado na an\u00e1lis e explorat\u00f3ria de dados sugerimos que estude esse t ema \nnos livros", "doc_id": "472c21cc-55b3-4a8a-a8e5-32d47a19cc2f", "embedding": null, "extra_info": null, "index": 12, "child_indices": [], "ref_doc_id": "c87fefc3-d573-489d-8532-80eaaef30ae0", "node_info": {"start": 26749, "end": 28159}}, "4301563273351335525": {"text": "que estude esse t ema \nnos livros Exploratory data analysis, de John W. Tukey, Readin g (MA): Addison-Wesley; 1976 e \nUnderstanding robust and exploratory data analysis, de David C. Hoaglin, Frederick Mosteller e John W. \nTukey, editores, New York (NY): John Wiley; 1983 . \nDepois de descrever os indiv\u00edduos estudados, se voc \u00ea tamb\u00e9m tiver o objetivo de analisar seus \nresultados, poder\u00e1 aplicar algumas das t\u00e9cnicas rel acionadas abaixo: \n \nT\u00c9CNICAS MAIS UTILIZADAS NA ESTAT\u00cdSTICA ANAL\u00cdTICA \n\u2022 Elabora\u00e7\u00e3o de diagramas (os mesmos da Estat\u00edstica Descritiva, por\u00e9m considerando mais de \numa vari\u00e1vel; diagrama de dispers\u00e3o, p. ex.) \n\u2022 Elabora\u00e7\u00e3o de tabelas de conting\u00eancia bivari\u00e1veis (com duas vari\u00e1veis) ou multivari\u00e1veis (com \nmais de duas vari\u00e1veis) \n\u2022 C\u00e1lculo de medidas de associa\u00e7\u00e3o entre vari\u00e1veis ( raz\u00e3o ou diferen\u00e7a entre preval\u00eancias; entre \nincid\u00eancias ou risco relativo ou atribu\u00edvel; entre chances; coeficientes de correla\u00e7\u00e3o (de Pearson, \nde Spearman, parcial, parcial m\u00faltiplo, etc.); coef icientes de regress\u00e3o) \n\u2022 An\u00e1lise estratificada \n\u2022 An\u00e1lise multivari\u00e1vel \n 5\n Em cada uma das t\u00e9cnicas estat\u00edsticas acima mencio nadas calculamos um ou mais indicadores \nquantitativos que nos ajudam a avaliar como e com q ue for\u00e7a duas ou mais vari\u00e1veis est\u00e3o associadas. E sses \nindicadores constituem os procedimentos da Estat\u00edst ica Anal\u00edtica. Em seguida, s\u00e3o feitos testes apropr iados \nde signific\u00e2ncia estat\u00edstica (que j\u00e1 s\u00e3o procedimen tos da Estat\u00edstica Inferencial), para verificar se os valores \nobtidos para as estat\u00edsticas descritivas ou", "doc_id": "2e478799-e179-4cfd-a79b-58dda84a4b0d", "embedding": null, "extra_info": null, "index": 13, "child_indices": [], "ref_doc_id": "c87fefc3-d573-489d-8532-80eaaef30ae0", "node_info": {"start": 28148, "end": 29706}}, "7494804368251650789": {"text": "descritivas ou anal\u00edti cas no estudo realizado s\u00e3o v\u00e1lidos para a popula\u00e7\u00e3 o. \nVeja uma listagem das principais t\u00e9cnicas de infer\u00ea ncia estat\u00edstica no quadro abaixo: \n \nT\u00c9CNICAS MAIS UTILIZADAS NA ESTAT\u00cdSTICA INFERENCIAL \n\u2022 Teste z para uma ou duas m\u00e9dias \u2022 C\u00e1lculo do \u00edndice capa (Teste z) \n\u2022 Teste t para uma ou duas m\u00e9dias \u2022 An\u00e1lise de regress\u00e3o linear (Teste F \nou Teste z) \n\u2022 Teste t para amostras emparelhadas \u2022 Teste exato de Fisher \n\u2022 Teste z para uma ou duas propor\u00e7\u00f5es \u2022 Teste do sinal \n\u2022 Teste qui-quadrado para duas ou mais \npropor\u00e7\u00f5es \u2022 Teste de Wilcoxon \n\u2022 Teste qui-quadrado de Mantel e Haenszel \u2022 Teste da mediana \n\u2022 Teste para uma vari\u00e2ncia \u2022 Teste de Mann-Whitney \n\u2022 Teste F para duas vari\u00e2ncias \u2022 Teste de Kruskal-Wallis \n\u2022 An\u00e1lise de vari\u00e2ncia (Teste F) \u2022 Teste de Friedman \n\u2022 An\u00e1lise de correla\u00e7\u00e3o intraclasse (Teste F) \u2022 An\u00e1lise de correla\u00e7\u00e3o de Spearman \n\u2022 An\u00e1lise de correla\u00e7\u00e3o de Pearson (Teste t) \u2022 Teste de McNemar \n\u2022 C\u00e1lculo do alfa de Cronbach (Teste F) \u2022 Elabora\u00e7\u00e3o de diagrama de barra de \nerro \n \nV\u00e1rias das t\u00e9cnicas mencionadas ser\u00e3o explicadas ne ste livro e, como j\u00e1 foi prometido, faremos o \nmaior esfor\u00e7o poss\u00edvel para que voc\u00ea compreenda cad a uma e seja capaz de utiliz\u00e1-las facilmente quando \nprecisar. \nNa descri\u00e7\u00e3o dos resultados consideramos apenas uma vari\u00e1vel de cada vez. Na an\u00e1lise estat\u00edstica \ntemos que utilizar duas vari\u00e1veis (an\u00e1lise bivari\u00e1v el) ou mais de duas (an\u00e1lise", "doc_id": "6773574d-da2c-4b91-9fe3-ef048472f9dd", "embedding": null, "extra_info": null, "index": 14, "child_indices": [], "ref_doc_id": "c87fefc3-d573-489d-8532-80eaaef30ae0", "node_info": {"start": 29721, "end": 31146}}, "3533578255887847331": {"text": "(an\u00e1lise estratificada e an\u00e1lis e \nmultivari\u00e1vel). A infer\u00eancia estat\u00edstica \u00e9 realizad a tanto para uma vari\u00e1vel isoladamente, quanto para duas ou \nmais. \nNote no quadro acima que a elabora\u00e7\u00e3o de um diagram a foi citada como t\u00e9cnica de infer\u00eancia \nestat\u00edstica. Do mesmo modo que os diagramas podem s er usados na descri\u00e7\u00e3o e an\u00e1lise quantitativa de \ndados, alguns podem tamb\u00e9m ser utilizados para infe r\u00eancia. Isto ser\u00e1 explicado no cap\u00edtulo sobre elabo ra\u00e7\u00e3o \nde diagramas (cap\u00edtulo 8, p\u00e1ginas 98 a 100). \n O quadro apresentado na pr\u00f3xima p\u00e1gina mostra as t\u00e9cnicas que n\u00e3o ser\u00e3o abordadas neste livro. \n 6\nT\u00c9CNICAS ESTAT\u00cdSTICAS N\u00c3O ABORDADAS \n\u2022 A grande maioria das t\u00e9cnicas da \u201can\u00e1lise explorat \u00f3ria de dados\u201d \n\u2022 C\u00e1lculo de medidas de associa\u00e7\u00e3o (risco relativo, raz\u00e3o de chances, etc.) \n\u2022 C\u00e1lculo do \u00edndice de concord\u00e2ncia Capa \n\u2022 C\u00e1lculo do alfa de Cronbach \n\u2022 Teste qui-quadrado de Mantel e Haenszel \n\u2022 Teste para uma vari\u00e2ncia \n\u2022 An\u00e1lise de vari\u00e2ncia / An\u00e1lise de correla\u00e7\u00e3o intra classe \n\u2022 Teste do sinal \n\u2022 Teste de Wilcoxon \n\u2022 Teste da mediana \n\u2022 Teste de Mann-Whitney \n\u2022 Teste de Kruskal-Wallis \n\u2022 Teste de Friedman \n\u2022 Teste de McNemar \n\u2022 An\u00e1lise de correla\u00e7\u00e3o de Spearman \n\u2022 An\u00e1lise de correla\u00e7\u00e3o de Pearson \n\u2022 An\u00e1lise de regress\u00e3o linear \n\u2022 An\u00e1lise de regress\u00e3o log\u00edstica \n\u2022 An\u00e1lise de regress\u00e3o de Cox \n\u2022 An\u00e1lise de regress\u00e3o de Weibull \n\u2022 An\u00e1lise de regress\u00e3o de Poisson \n\u2022 An\u00e1lise de regress\u00e3o binomial negativa \n\u2022", "doc_id": "6d5272a3-6741-461d-b426-16e44c400710", "embedding": null, "extra_info": null, "index": 15, "child_indices": [], "ref_doc_id": "c87fefc3-d573-489d-8532-80eaaef30ae0", "node_info": {"start": 31152, "end": 32583}}, "3832817106702433328": {"text": "negativa \n\u2022 An\u00e1lise de regress\u00e3o log-linear \n\u2022 An\u00e1lise de regress\u00e3o hier\u00e1rquica \n\u2022 An\u00e1lise discriminante \n\u2022 An\u00e1lise de vari\u00e2ncia multinomial (MANOVA) \n\u2022 An\u00e1lise de correla\u00e7\u00e3o de Kendall \n\u2022 An\u00e1lise de conting\u00eancia \n\u2022 An\u00e1lise de correla\u00e7\u00e3o can\u00f4nica \n\u2022 An\u00e1lise de correla\u00e7\u00e3o parcial m\u00faltipla \n\u2022 An\u00e1lise de escala multidimensional \n\u2022 An\u00e1lise de componentes principais \n\u2022 An\u00e1lise de fator \n\u2022 An\u00e1lise de correspond\u00eancia \n\u2022 An\u00e1lise de homogeneidade \n\u2022 An\u00e1lise de agrupamento (\u201ccluster analysis\u201d) \n\u2022 An\u00e1lise por redes neurais artificiais \n \nExistem ainda outras t\u00e9cnicas estat\u00edsticas que, por serem menos utilizadas, n\u00e3o foram mencionadas \nno quadro acima. Quando for necess\u00e1rio voc\u00ea poder\u00e1 estud\u00e1-las e aplic\u00e1-las. \n \n \u2500 Mas, h\u00e1 uma \u201cmontanha\u201d de t\u00e9cnicas que n\u00e3o ser\u00e3o ab ordadas! Vou continuar sabendo \npoucas t\u00e9cnicas estat\u00edsticas! \n \n\u2500 Tenha paci\u00eancia! Este livro foi \u201cbolado\u201d para serv ir como livro-texto em cursos de Estat\u00edstica \nB\u00e1sica. \u00c9 um primeiro degrau. \u00c9 imposs\u00edvel aprender todas as t\u00e9cnicas existentes em um espa\u00e7o de tempo \ncurto. Essa \u00e9 uma tarefa para ser feita ao longo de toda sua vida profissional. Al\u00e9m disto, n\u00e3o se esq ue\u00e7a de \nque voc\u00ea n\u00e3o precisar\u00e1 utilizar todas essas t\u00e9cnica s em suas pesquisas. O importante neste momento \u00e9 q ue \nvoc\u00ea se capacite a empregar as t\u00e9cnicas mais simple s e de uso mais freq\u00fcente. \n 7\n \u2500 O que as denomina\u00e7\u00f5es estat\u00edstica param\u00e9trica e n\u00e3o -param\u00e9trica significam? \n \n\u2500 Boa", "doc_id": "84baf531-9508-4f89-8799-98f74f4e11ba", "embedding": null, "extra_info": null, "index": 16, "child_indices": [], "ref_doc_id": "c87fefc3-d573-489d-8532-80eaaef30ae0", "node_info": {"start": 32582, "end": 34011}}, "8015489103667186925": {"text": "\n \n\u2500 Boa pergunta! Para voc\u00ea entender isso ser\u00e1 necess\u00e1 rio explicarmos o que \u00e9 uma distribui\u00e7\u00e3o de \nfreq\u00fc\u00eancias ou uma distribui\u00e7\u00e3o de probabilidades. \nSe estudarmos uma amostra, que \u00e9 uma parte de uma p opula\u00e7\u00e3o, e coletarmos, para cada indiv\u00edduo \ndessa amostra, informa\u00e7\u00e3o sobre uma determinada car acter\u00edstica, a idade, p.ex., podemos contar quantas \nvezes cada valor de idade apareceu nessa amostra. P ara avaliarmos como essas freq\u00fc\u00eancias de valores de \nidade se distribu\u00edram nessa amostra, elaboramos um diagrama de freq\u00fc\u00eancias, tamb\u00e9m chamado de \ndistribui\u00e7\u00e3o de freq\u00fc\u00eancias. Na ordenada dessa dist ribui\u00e7\u00e3o apresentamos as freq\u00fc\u00eancias com que os val ores \nde idade ocorreram naquela amostra e na abscissa os valores de idade. Muitos dos fen\u00f4menos estudados p or \nn\u00f3s na \u00e1rea biom\u00e9dica apresentam baixas freq\u00fc\u00eancias dos valores mais baixos e tamb\u00e9m dos mais altos, e \naltas freq\u00fc\u00eancias dos valores mais intermedi\u00e1rios, conformando um diagrama de distribui\u00e7\u00e3o de freq\u00fc\u00eanc ias \nsemelhante ao desenhado abaixo: \n \n \n \nAs partes mais altas da distribui\u00e7\u00e3o representam os valores mais freq\u00fcentes e as partes mais baixas \nos valores menos freq\u00fcentes, j\u00e1 que na ordenada rep resentamos as freq\u00fc\u00eancias. Quanto mais alta a colun a, \nmais freq\u00fcentes os valores correspondentes de idade contidos na abscissa, e vice-versa. \nCom base na teoria estat\u00edstica, se o n\u00famero de indi v\u00edduos tender para infinito, ser\u00e1 usado um modelo \nou equa\u00e7\u00e3o matem\u00e1tica para representar essa distrib", "doc_id": "344364b0-4de2-4fc1-a7c4-6615525d13d8", "embedding": null, "extra_info": null, "index": 17, "child_indices": [], "ref_doc_id": "c87fefc3-d573-489d-8532-80eaaef30ae0", "node_info": {"start": 34016, "end": 35498}}, "2662620471543087202": {"text": "ui\u00e7\u00e3o, como mostramos a seguir: \n \n \n Nesse diagrama, na abscissa est\u00e3o representados os diversos infinitos valores de uma caracter\u00edstica \nde interesse, a idade, p.ex., denotada por X, e na ordenada valores de uma fun\u00e7\u00e3o matem\u00e1tica de X. Voc\u00ea \nDistribui\u00e7\u00e3o das freq\u00fc\u00eancias de idade. \nf (x) \n 8\nver\u00e1 no cap\u00edtulo 9, que a distribui\u00e7\u00e3o acima recebe a denomina\u00e7\u00e3o de distribui\u00e7\u00e3o normal, e que as \u00e1re as \nentre essa curva e a abscissa equivalem \u00e0s probabil idades dos valores de idade ocorrerem naquela \npopula\u00e7\u00e3o infinita. Por isso, esta e outras distrib ui\u00e7\u00f5es recebem tamb\u00e9m a denomina\u00e7\u00e3o gen\u00e9rica de \ndistribui\u00e7\u00f5es de probabilidades. No cap\u00edtulo 10 (p\u00e1 ginas 143 a 150), explicaremos que, muitas vezes, v amos \npoder assumir que a distribui\u00e7\u00e3o de uma determinada caracter\u00edstica na popula\u00e7\u00e3o estudada \u00e9 normal. Sen do \nassim, poderemos utilizar essa distribui\u00e7\u00e3o como mo delo para verificar se os resultados obtidos em uma parte \n(amostra) dessa popula\u00e7\u00e3o s\u00e3o estatisticamente iguais ou diferentes dos valores que porventura ob ter\u00edamos, \nse tiv\u00e9ssemos estudado toda a popula\u00e7\u00e3o e n\u00e3o apena s uma parte da mesma. Por enquanto, nossa inten\u00e7\u00e3o \n\u00e9 destacar que podemos utilizar distribui\u00e7\u00f5es de pr obabilidades para fazermos infer\u00eancia estat\u00edstica. \n Quando, ao fazermos essa infer\u00eancia, tivermos de a ssumir, na popula\u00e7\u00e3o de onde o grupo \ninvestigado foi retirado, que a caracter\u00edstica estu dada tem uma determinada distribui\u00e7\u00e3o de probabilid ades \npreviamente conhecida, classificaremos o procedimen to estat\u00edstico como", "doc_id": "1a750e15-f6b9-4e5a-86db-445f4d97d426", "embedding": null, "extra_info": null, "index": 18, "child_indices": [], "ref_doc_id": "c87fefc3-d573-489d-8532-80eaaef30ae0", "node_info": {"start": 35505, "end": 37028}}, "891105348948659942": {"text": "estat\u00edstico como param\u00e9trico, porque utilizaremo s os \npar\u00e2metros dessa distribui\u00e7\u00e3o j\u00e1 conhecida. Quando, p. ex., pudermos assumir previamente que a distrib ui\u00e7\u00e3o \nna popula\u00e7\u00e3o \u00e9 do tipo normal, a m\u00e9dia dessa distri bui\u00e7\u00e3o, \u00b5, ser\u00e1 um dos par\u00e2metros considerados para \nrealizarmos infer\u00eancia estat\u00edstica. \n Quando n\u00e3o necessitarmos assumir previamente um de terminado formato da distribui\u00e7\u00e3o na \npopula\u00e7\u00e3o para realizarmos o procedimento estat\u00edsti co, este ser\u00e1 denominado n\u00e3o-param\u00e9trico. Como \nnenhuma distribui\u00e7\u00e3o j\u00e1 conhecida \u00e9 utilizada, esse tipo de t\u00e9cnica estat\u00edstica \u00e9 tamb\u00e9m chamado de \u201cl ivre de \ndistribui\u00e7\u00e3o\u201d. \n Outra raz\u00e3o para usarmos um procedimento n\u00e3o-param \u00e9trico \u00e9 a natureza da caracter\u00edstica \nestudada. Se esta \u00e9 medida em valores que podem ser postos em ordem crescente ou decrescente, mas \nseus valores n\u00e3o compreendem todos os poss\u00edveis val ores em uma escala quantitativa cont\u00ednua, n\u00e3o \npoderemos calcular sua m\u00e9dia e, conseq\u00fcentemente, a distribui\u00e7\u00e3o normal n\u00e3o poder\u00e1 ser utilizada para \nfazermos infer\u00eancia sobre essa caracter\u00edstica. Isto ser\u00e1 explicado nas p\u00e1ginas 54 e 55. \n \n \u2500 Como surgiu a Estat\u00edstica Moderna? \n \n\u2500 Fazendo uma abordagem bem sucinta, podemos come\u00e7ar destacando que, desde os seus \nprim\u00f3rdios, os seres humanos sentiram a necessidade de e, efetivamente, fizeram contagens e medi\u00e7\u00f5es. E, \n\u00e0 medida que a matem\u00e1tica se desenvolveu, a quantif ica\u00e7\u00e3o de eventos de interesse foi tamb\u00e9m evoluindo . \n Mas, a Estat\u00edstica Moderna \u00e9 relativamente recente . Surgiu na", "doc_id": "14c35283-9d7d-4d16-8fad-1db352dba2f1", "embedding": null, "extra_info": null, "index": 19, "child_indices": [], "ref_doc_id": "c87fefc3-d573-489d-8532-80eaaef30ae0", "node_info": {"start": 37014, "end": 38530}}, "4983221707483341675": {"text": "recente . Surgiu na transi\u00e7\u00e3o entre o feudalismo e o \ncapitalismo, em um per\u00edodo denominado de mercantili smo. Durante a cria\u00e7\u00e3o dos Estados Absolutistas na \nEuropa, intensificou-se a necessidade de se saber q uantos indiv\u00edduos nasciam ou morriam, quantos eram \nsadios ou doentes. \n \n\u2500 Por qu\u00ea? \n \n\u2500 Porque naquele per\u00edodo eram freq\u00fcentes as guerras de conquista e, conseq\u00fcentemente, as de \ndefesa de territ\u00f3rio, e ent\u00e3o, foi se tornando cada vez mais necess\u00e1rio saber-se mais precisamente com \nquantas pessoas o Estado poderia contar para conqui star novos territ\u00f3rios ou para defender-se de \nagressores. A denomina\u00e7\u00e3o Estat\u00edstica \u00e9, por isso, derivada da palavra \u201cEstado\u201d e abrangia, originalme nte, o \nconhecimento resultante de contagens e/ou medi\u00e7\u00f5es de eventos de interesse do Estado. \n 9\nSe quiser ler sobre a hist\u00f3ria da Estat\u00edstica, reco mendamos o livro de Stigler SM. The history of \nStatistics. The measurement of uncertainty before 1 900. Cambridge (MA): The Belknap Press of Harvard \nUniversity Press; 1986 . \n \n\u2500 E o que \u00e9 Bioestat\u00edstica? \n \n\u2500 Como voc\u00ea j\u00e1 sabe, chamamos de Bioestat\u00edstica o ra mo da Estat\u00edstica aplicado ao agrupamento \nmet\u00f3dico e ao estudo de fen\u00f4menos biol\u00f3gicos pass\u00edveis de avalia\u00e7\u00e3o quantitativa. \n \n\u2500 Utilizaremos a Bioestat\u00edstica apenas na descri\u00e7\u00e3o, an\u00e1lise e infer\u00eancia dos resultados \nobtidos no nosso estudo? \n \n\u2500 N\u00e3o. Se considerarmos resumidamente as etapas de u ma pesquisa epidemiol\u00f3gica, veremos que \na Estat\u00edstica pode ser usada na maioria das mesmas. Em termos gerais, uma investiga\u00e7\u00e3o desta natureza", "doc_id": "55c766cc-c1e8-4194-b27f-4344d64aa784", "embedding": null, "extra_info": null, "index": 20, "child_indices": [], "ref_doc_id": "c87fefc3-d573-489d-8532-80eaaef30ae0", "node_info": {"start": 38530, "end": 40086}}, "8916561452798927852": {"text": "desta natureza \ncomporta as seguintes etapas: \n \n\u2022 Defini\u00e7\u00e3o do tema \n\u2022 Planejamento do estudo \n\u2022 Coleta dos dados \n\u2022 Digita\u00e7\u00e3o e processamento \n\u2022 Descri\u00e7\u00e3o, an\u00e1lise e interpreta\u00e7\u00e3o dos resultados \n\u2022 Avalia\u00e7\u00e3o cr\u00edtica do estudo \n\u2022 Reda\u00e7\u00e3o \n\u2022 Apresenta\u00e7\u00e3o / Divulga\u00e7\u00e3o \n \nA Estat\u00edstica ser\u00e1 utilizada em todas essas etapas, e em algumas ter\u00e1 um papel indispens\u00e1vel. Na \ndefini\u00e7\u00e3o do tema, ajudando-nos a avaliar onde exis tem lacunas no conhecimento devido a falhas na an\u00e1l ise \ndos dados de estudos realizados anteriormente; no p lanejamento, orientando-nos na sele\u00e7\u00e3o dos indiv\u00eddu os e \nfatores a serem estudados, na escolha das t\u00e9cnicas adequadas \u00e0 descri\u00e7\u00e3o e an\u00e1lise desses fatores e \u00e0 \ngeneraliza\u00e7\u00e3o dos resultados; esse planejamento ser \u00e1 importante para uma realiza\u00e7\u00e3o correta do estudo, \nestando a\u00ed inclu\u00eddos a coleta, a digita\u00e7\u00e3o e o proc essamento dos dados; na descri\u00e7\u00e3o, an\u00e1lise e interp reta\u00e7\u00e3o, \norientando-nos no uso correto das t\u00e9cnicas estat\u00edst icas escolhidas durante o planejamento; na avalia\u00e7\u00e3 o \ncr\u00edtica do estudo, fornecendo-nos elementos para um melhor julgamento sobre nosso pr\u00f3prio trabalho, \npermitindo-nos identificar aspectos positivos e neg ativos do mesmo, verificando sua validade cient\u00edfic a; e na \nreda\u00e7\u00e3o, apresenta\u00e7\u00e3o e divulga\u00e7\u00e3o dos resultados, auxiliando-nos com procedimentos pr\u00e1ticos, como a \nelabora\u00e7\u00e3o de tabelas e diagramas. \n \n\u2500 Em que tipos de estudos epidemiol\u00f3gicos poderemos u sar t\u00e9cnicas estat\u00edsticas? \n \n\u2500 Relembrando, listamos abaixo os sete tipos", "doc_id": "d030e544-af8d-4515-9de3-0059e5afa3f4", "embedding": null, "extra_info": null, "index": 21, "child_indices": [], "ref_doc_id": "c87fefc3-d573-489d-8532-80eaaef30ae0", "node_info": {"start": 40090, "end": 41592}}, "8846673867375908656": {"text": "b\u00e1sicos de estudos epidemiol\u00f3gicos: \n\u2022 De preval\u00eancia \u2022 Caso-controle \n\u2022 De incid\u00eancia \u2022 De coorte \n\u2022 De agregados \u2022 Experimental \n\u2022 Transversal \n 10 \n \nEm todos esses tipos a Estat\u00edstica ter\u00e1 uma contrib ui\u00e7\u00e3o fundamental para que o estudo seja bem \nplanejado e produza resultados cientificamente v\u00e1li dos. \n \n \u2500 Como saber qual a t\u00e9cnica estat\u00edstica mais adequada a cada situa\u00e7\u00e3o? \n \n\u2500 Para escolher corretamente a t\u00e9cnica a ser utiliza da \u00e9 fundamental que voc\u00ea leve em conta o tipo \nde estudo epidemiol\u00f3gico que realizar\u00e1 e a natureza estat\u00edstica dos fatores a serem investigados. No p r\u00f3ximo \ncap\u00edtulo veremos como esses fatores, chamados de va ri\u00e1veis, s\u00e3o classificados e, ao longo dos demais \ncap\u00edtulos, ficar\u00e1 claro qual(is) t\u00e9cnica(s) ser\u00e1(\u00e3o ) a(s) mais apropriada(s) em fun\u00e7\u00e3o dos tipos de va ri\u00e1veis \nenvolvidas. \n \n \u2500 Reconhe\u00e7o o esfor\u00e7o que voc\u00eas est\u00e3o fazendo para mo tivar-me a estudar bioestat\u00edstica, \nmas h\u00e1 algo que n\u00e3o conseguirei superar que \u00e9 o ent endimento de f\u00f3rmulas matem\u00e1ticas. \n \n\u2500 Foi bom voc\u00ea ter mencionado isso. Existem f\u00f3rmulas matem\u00e1ticas mais simples e outras mais \ncomplexas. Voc\u00ea com certeza conseguir\u00e1 entender as mais simples com a ajuda de uma explica\u00e7\u00e3o clara e \nisto n\u00f3s tentaremos fazer sempre. Quanto \u00e0s mais co mplexas, nossa opini\u00e3o \u00e9 que simplesmente n\u00e3o \u00e9 \nposs\u00edvel olhar para elas e entend\u00ea-las. \n \n \u2500 Ent\u00e3o n\u00e3o somos obrigados a entender f\u00f3rmulas mais complexas? \n \n\u2500 N\u00e3o. Essas f\u00f3rmulas resultaram", "doc_id": "90264dee-ef9d-42f1-972c-b2a6a114e206", "embedding": null, "extra_info": null, "index": 22, "child_indices": [], "ref_doc_id": "c87fefc3-d573-489d-8532-80eaaef30ae0", "node_info": {"start": 41606, "end": 43061}}, "4416309970324744110": {"text": "de v\u00e1rias etapas de manipula\u00e7\u00e3o alg\u00e9brica. \u00c9 praticamente \nimposs\u00edvel olharmos para uma f\u00f3rmula complexa e que rermos entend\u00ea-la. O m\u00e1ximo que um professor \npoder\u00e1 exigir de voc\u00ea ser\u00e1 entender o desenvolvimen to alg\u00e9brico e/ou a demonstra\u00e7\u00e3o emp\u00edrica dessas \nf\u00f3rmulas. Sempre que julgarmos necess\u00e1rio, faremos essas demonstra\u00e7\u00f5es ao longo deste livro. \n Achamos que muitas pessoas n\u00e3o gostam de Matem\u00e1tic a e, portanto, de Estat\u00edstica, porque se \nsentem na obriga\u00e7\u00e3o de olhar para uma f\u00f3rmula compl exa e entend\u00ea-la. Isto \u00e9 um completo absurdo. N\u00e3o s e \ncobre isto no decorrer deste livro. Combinado? \n \n \u2500 Ouvi falar em uma Estat\u00edstica Bayesiana. O que isso significa? \n \n \u2500 Alguns estat\u00edsticos propuseram uma outra maneira d e se fazer infer\u00eancia estat\u00edstica, diferente da \nque apresentaremos neste livro. Esta outra maneira \u00e9 chamada de bayesiana porque utiliza o famoso teor ema \nde Bayes, assim denominado em homenagem ao seu form ulador, o matem\u00e1tico e religioso ingl\u00eas Thomas \nBayes (1702-1761). \n Se desejar saber como a infer\u00eancia bayesiana \u00e9 rea lizada, sugiro que estude as p\u00e1ginas 20-22, 27, \n197-199, 220, 221, e 336 do livro Rothman KJ e Greenland S, editores. Modern epidemio logy. 2 a ed. \nPhiladelphia (PA): Lippincott Williams e Wilkins; 1 998 . \n Como em qualquer \u00e1rea do pensamento humano, esses dois distintos m\u00e9todos de infer\u00eancia, o da \nestat\u00edstica bayesiana e o da estat\u00edstica cl\u00e1ssica ( sendo este o que ser\u00e1 utilizado neste livro), despe rtou \nintensa discuss\u00e3o, com posi\u00e7\u00f5es apaixonadas", "doc_id": "bd0dbb54-aef9-4293-aa35-08014aa58442", "embedding": null, "extra_info": null, "index": 23, "child_indices": [], "ref_doc_id": "c87fefc3-d573-489d-8532-80eaaef30ae0", "node_info": {"start": 43062, "end": 44577}}, "3113880957862499188": {"text": "a favor ou contra uma ou outra. Em nossa opini\u00e3o, n\u00e3o \ndevemos opor um m\u00e9todo ao outro, pois ambos se fund amentam em argumentos cient\u00edficos e estat\u00edsticos \nv\u00e1lidos, embora diferentes. O ideal seria que em ca da estudo aplic\u00e1ssemos os dois m\u00e9todos, porque um \ndesempenharia um papel confirmat\u00f3rio ou n\u00e3o do outr o, dando-nos maior certeza estat\u00edstica sobre nossos \n 11 \nachados. Esta posi\u00e7\u00e3o est\u00e1 bem defendida no artigo de Bradley E.: Bayesians, frequentists, and scientists , \nque pode ser acessado na seguinte p\u00e1gina da \u201cIntern et\u201d: www-stat.stanford.edu/~brad/papers/Bay-\nFreq_2005.pdf. \n \n \u2500 \u00c9 poss\u00edvel pesquisarmos cientificamente sem a Estat \u00edstica? \n \n\u2500 \u00c9 claro que sim! N\u00e3o poder\u00edamos concluir este prim eiro cap\u00edtulo sem discutir esse assunto com \nvoc\u00ea. \n A Estat\u00edstica \u00e9 uma poderosa ferramenta para pesqu isas quantitativas em v\u00e1rios campos do \nconhecimento, e n\u00e3o somente na \u00e1rea de sa\u00fade na qua l atuamos. Mas isso n\u00e3o quer dizer que essa \nferramenta n\u00e3o tenha limita\u00e7\u00f5es, algumas intranspon \u00edveis a nosso ver. As pesquisas qualitativas t\u00eam um \npapel tamb\u00e9m important\u00edssimo e insubstitu\u00edvel. Elas investigam um n\u00famero menor de indiv\u00edduos, mas com \numa profundidade, um detalhamento muito maior do qu e as pesquisas quantitativas que, por sua vez, \npropiciam o estudo de um n\u00famero maior de indiv\u00edduos , mas de modo extensivo e superficial. \nDefendemos a necessidade de que as abordagens quant itativa e qualitativa se complementem. Para \nn\u00f3s, um bom estudo epidemiol\u00f3gico deve", "doc_id": "7e9051f6-5165-449d-8c90-6a255d6968d5", "embedding": null, "extra_info": null, "index": 24, "child_indices": [], "ref_doc_id": "c87fefc3-d573-489d-8532-80eaaef30ae0", "node_info": {"start": 44578, "end": 46072}}, "6144110316145211605": {"text": "conter essas duas abordagens porque nenhuma isoladamente \nconsegue dar conta da totalidade que se pretende in vestigar, deixando lacunas indesej\u00e1veis na investig a\u00e7\u00e3o. \nSe voc\u00ea se interessou por este tema t\u00e3o instigante, busque alguns dos v\u00e1rios livros e artigos dispon\u00edv eis \nsobre ele na literatura, pois n\u00e3o o abordaremos nov amente, para n\u00e3o nos afastarmos dos objetivos deste livro. \n Fa\u00e7a uma pausa e curta um pouco a vida antes de re tomar a leitura deste livro. Curtir a vida \u00e9 t\u00e3o \nimportante quanto trabalhar. Sobre a defesa desse p onto de vista sugerimos as seguintes leituras: a) Russel \nB. O elogio ao \u00f3cio. Rio de Janeiro (RJ): Sextante; 2002 ; b) Lafargue P. O direito \u00e0 pregui\u00e7a , que pode ser \nacessado no seguinte s\u00edtio da \u201cInternet\u201d: www.ebook sbrasil.org/eLibris/direitopreguica.html; c) Kurz R. \nManifesto contra o trabalho , que pode ser acessado no s\u00edtio: www.dhnet.org.br/ desejos/textos/krisis.htm ; \nd) De Masi D. O \u00f3cio criativo. Rio de Janeiro (RJ): Se xtante; 2000 ; e e) Sennett R. A corros\u00e3o do car\u00e1ter. 5 a \ned. Rio de Janeiro (RJ): Record; 1999 . \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n 12 \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n 13 \nCAP\u00cdTULO 2 \n \n\u0001 O que s\u00e3o vari\u00e1veis? \n\u0001 Como classificar as vari\u00e1veis?", "doc_id": "34f8e6df-8321-4762-9ed6-a0badb3eac76", "embedding": null, "extra_info": null, "index": 25, "child_indices": [], "ref_doc_id": "c87fefc3-d573-489d-8532-80eaaef30ae0", "node_info": {"start": 46073, "end": 47359}}, "7916486405572413141": {"text": " \n\u0001 Qual dessas classifica\u00e7\u00f5es devemos utilizar? \n\u0001 Para que todo esse esfor\u00e7o em classificar vari\u00e1veis ? \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n 14 \n \n \n\u2500 O que s\u00e3o vari\u00e1veis? \n \n\u2500 Nosso ponto de partida neste cap\u00edtulo ser\u00e1 definir o que \u00e9 uma vari\u00e1vel. Depois discutiremos com \nvoc\u00ea as diversas maneiras de classific\u00e1-la. Finalme nte, abordaremos rapidamente a import\u00e2ncia de \nclassificarmos as vari\u00e1veis utilizadas em nossas pe squisas. \nUma vari\u00e1vel, como a denomina\u00e7\u00e3o j\u00e1 deixa claro, \u00e9 uma caracter\u00edstica que varia entre os indiv\u00edduos \nestudados. A idade, o peso, a altura, o sexo, a ra\u00e7 a, entre outras, s\u00e3o caracter\u00edsticas que variam ent re os \nindiv\u00edduos a serem estudados; uns s\u00e3o mais jovens, outros mais velhos; mais leves ou mais pesados; mai s \nbaixos ou mais altos; homens ou mulheres; brancos, negros, mulatos, \u00edndios ou amarelos. Se uma \ncaracter\u00edstica n\u00e3o varia em uma determinada popula\u00e7 \u00e3o, a rigor n\u00e3o deveria ser chamada de \u201cvari\u00e1vel\u201d. Por \nexemplo, se todos os indiv\u00edduos que estiv\u00e9ssemos es tudando tivessem a mesma idade n\u00e3o dever\u00edamos \nconsiderar a idade como uma \u201cvari\u00e1vel\u201d nesse estudo . Na pr\u00e1tica, contudo, vari\u00e1veis que foram neutrali zadas \nou controladas e, por isso, n\u00e3o variam, continuam s endo chamadas de \u201cvari\u00e1veis\u201d, porque at\u00e9 o momento \nningu\u00e9m se deu ao trabalho, inclusive n\u00f3s,", "doc_id": "986d168a-144e-465d-ac40-26982d3e2b8c", "embedding": null, "extra_info": null, "index": 26, "child_indices": [], "ref_doc_id": "c87fefc3-d573-489d-8532-80eaaef30ae0", "node_info": {"start": 47360, "end": 48712}}, "6233941858107279688": {"text": "de propo r uma outra denomina\u00e7\u00e3o para ser usada nessas \nsitua\u00e7\u00f5es. Os epidemiologistas j\u00e1 se acostumaram a continuar chamando essas caracter\u00edsticas de \u201cvari\u00e1v el\u201d, \nmesmo quando n\u00e3o variam. Mas, tudo bem! Podemos con viver com tal contradi\u00e7\u00e3o, porque na pr\u00e1tica, voc\u00ea \nver\u00e1 que isso n\u00e3o nos atrapalhar\u00e1. \n \n\u2500 Como classificar as vari\u00e1veis? \n \n\u2500 Reconhecemos que as classifica\u00e7\u00f5es das vari\u00e1veis p odem ficar muito confusas, mas achamos que \nisso s\u00f3 ocorre quando os estat\u00edsticos n\u00e3o deixam lo go claro, desde o in\u00edcio, que existem v\u00e1rias classi fica\u00e7\u00f5es \ne que cada uma baseia-se em um crit\u00e9rio diferente. Assim, uma mesma vari\u00e1vel pode ser classificada e, \nportanto, denominada de diversas maneiras. E \u00e9 exat amente isso que gera tanta confus\u00e3o. \nAntes de prosseguirmos, \u00e9 importante voc\u00ea aprender que os valores pass\u00edveis de serem assumidos \npor uma vari\u00e1vel s\u00e3o chamados de categorias da vari \u00e1vel. Sexo (definido biologicamente), p. ex., \u00e9 uma \nvari\u00e1vel com duas categorias: masculino e feminino; ou homem e mulher. \u00c9 claro que algu\u00e9m pode discord ar \ndessa classifica\u00e7\u00e3o, arg\u00fcindo que essas duas catego rias n\u00e3o incluem todo o espectro de varia\u00e7\u00e3o dessa \nvari\u00e1vel. Essa cr\u00edtica \u00e9 procedente, sendo mais ade quado mantermos a vari\u00e1vel \u201csexo biol\u00f3gico\u201d como fo i \ndefinida acima, e utilizarmos uma outra que poderia ser chamada de \u201corienta\u00e7\u00e3o sexual\u201d para englobar u m \namplo leque de op\u00e7\u00f5es. \nO primeiro crit\u00e9rio de classifica\u00e7\u00e3o leva em conta a natureza qualitativa (indicando uma qualidade) ou \nquantitativa", "doc_id": "abd5b4cd-9697-47ba-a6ee-363db1b7787e", "embedding": null, "extra_info": null, "index": 27, "child_indices": [], "ref_doc_id": "c87fefc3-d573-489d-8532-80eaaef30ae0", "node_info": {"start": 48713, "end": 50229}}, "268017835667789191": {"text": "(indicando uma quantidade) da vari\u00e1vel . Por esse crit\u00e9rio, obviamente, podemos classifica r uma \nvari\u00e1vel como qualitativa ou quantitativa . A vari\u00e1vel \u201cra\u00e7a\u201d \u00e9 um exemplo de vari\u00e1vel qualit ativa. Cada uma de \nsuas categorias (negro, mulato, branco, \u00edndio ou am arelo) indica um indiv\u00edduo com qualidades \n(caracter\u00edsticas) diferentes dos demais. Outro exem plo, entre muitos, \u00e9 o de uma vari\u00e1vel que indique se o \nindiv\u00edduo est\u00e1 ou n\u00e3o doente. J\u00e1 a vari\u00e1vel \u201cpeso\u201d, \u00e9 quantitativa, pois suas categorias indicam a qua ntidade \nde peso (em kg) para cada indiv\u00edduo. Outros exemplo s desse \u00faltimo tipo s\u00e3o as vari\u00e1veis \u201caltura\u201d e \u201cid ade\u201d. \n 15 \n \n \n \n \n \n \nOutro crit\u00e9rio utilizado \u00e9 a posi\u00e7\u00e3o da vari\u00e1vel no quadro de hip\u00f3teses da pesquisa. Por tal crit\u00e9rio \numa vari\u00e1vel pode ser classificada em dependente ou independente . O primeiro tipo indica o efeito, a \nresposta, o desfecho que est\u00e1 sendo estudado, sendo na maior parte das vezes uma doen\u00e7a. O segundo \nrepresenta um poss\u00edvel determinante (causa ou fator associado) ao efeito estudado. As vari\u00e1veis \nindependentes podem ser subdivididas em independent e principal (ou de estudo, ou de interesse, ou causal), \nou independente secund\u00e1ria (ou covari\u00e1vel, ou vari\u00e1vel de controle ou confund idora). Veja a figura abaixo: \n \n \n \n \n \n \n \n \n \n \n \nEm um estudo para investigar se o h\u00e1bito de fumar p rovoca c\u00e2ncer de pulm\u00e3o, a vari\u00e1vel dependente \nseria o c\u00e2ncer de pulm\u00e3o porque a hip\u00f3tese da pesqu isa assumiria que", "doc_id": "7165e463-598c-4886-b898-6af03c3d0ba5", "embedding": null, "extra_info": null, "index": 28, "child_indices": [], "ref_doc_id": "c87fefc3-d573-489d-8532-80eaaef30ae0", "node_info": {"start": 50230, "end": 51708}}, "1404477871587147341": {"text": "a ocorr\u00eancia deste c\u00e2ncer depende ria \ndo h\u00e1bito de fumar, e este h\u00e1bito seria a vari\u00e1vel independente porque, conforme o quadro te\u00f3rico da \npesquisa, sua ocorr\u00eancia n\u00e3o dependeria (seria inde pendente) da presen\u00e7a do c\u00e2ncer. A vari\u00e1vel \nindependente \u201ch\u00e1bito de fumar\u201d seria denominada de principal porque neste exemplo seria a vari\u00e1vel na qual \nos investigadores estariam especificamente interess ados. Logo, a associa\u00e7\u00e3o entre h\u00e1bito de fumar e c\u00e2 ncer \nde pulm\u00e3o seria considerada como a associa\u00e7\u00e3o princ ipal do estudo. Os pesquisadores tamb\u00e9m deveriam \ninvestigar a influ\u00eancia das vari\u00e1veis independentes secund\u00e1rias , de modo a neutralizar o efeito dessas sobre a \nassocia\u00e7\u00e3o principal estudada. No exemplo dado, ter \u00edamos de neutralizar, p. ex., o efeito da vari\u00e1vel \u201cidade\u201d, \nporque para estarmos mais seguros de que havia uma associa\u00e7\u00e3o entre h\u00e1bito de fumar e c\u00e2ncer de pulm\u00e3o , \nseria necess\u00e1rio afastarmos a possibilidade de que essa associa\u00e7\u00e3o resultasse apenas do fato dos indiv \u00edduos \nmais idosos fumarem mais e, ao mesmo tempo, por sua idade avan\u00e7ada, estarem mais sujeitos a apresentar \nc\u00e2ncer de pulm\u00e3o em decorr\u00eancia de fen\u00f4menos degene rativos (que se acentuam com a idade), e n\u00e3o por \nefeito de subst\u00e2ncias cancer\u00edgenas presentes no cig arro. Assim, os fumantes pareceriam ter um risco ma ior \nde c\u00e2ncer de pulm\u00e3o apenas porque eram mais idosos do que os n\u00e3o-fumantes. \u00c9 justamente pela \npossibilidade de confundirem a associa\u00e7\u00e3o principal estudada, que se torna indispens\u00e1vel a neutraliza\u00e7", "doc_id": "20e929f3-17e8-4c71-91fc-7d8041c7dff6", "embedding": null, "extra_info": null, "index": 29, "child_indices": [], "ref_doc_id": "c87fefc3-d573-489d-8532-80eaaef30ae0", "node_info": {"start": 51709, "end": 53227}}, "8140051657881589814": {"text": "a neutraliza\u00e7 \u00e3o de \nvari\u00e1veis independentes secund\u00e1rias. Veja a figura a seguir: Vari\u00e1vel \nindependente \nprincipal Vari\u00e1vel \ndependente \nVari\u00e1vel \nindependente \nsecund\u00e1ria Quanto \u00e0 posi\u00e7\u00e3o no quadro de hip\u00f3teses Quanto \u00e0 natureza \nVari\u00e1vel qualitativa \nEx.: ra\u00e7a, sexo Vari\u00e1vel quantitativa \nEx.: peso, altura, idade \n 16 \n \n \n \n \n \n \n \nN\u00e3o explicaremos conceitual nem tecnicamente em mai or detalhe esse fen\u00f4meno da \u201cconfus\u00e3o\u201d ou \n\u201cconfundimento\u201d em estudos epidemiol\u00f3gicos, pois is so nos afastaria dos objetivos propostos neste livr o. Se \nprecisar desse aprofundamento, sugerimos que consul te outras fontes ( Pereira MG. Epidemiologia: teoria e \npr\u00e1tica. Rio de Janeiro (RJ): Guanabara Koogan; 199 5; Kleinbaum DG, Kupper LL, Morgenstern H. \nEpidemiologic Research. Belmont (CA): Lifetime Lear ning; 1982; Hothman KJ, Greenland S. Modern \nepidemiology, editores. 2a ed. Philadelphia (PA): Lippincott Williams e Wilki ns; 1998; e Hennekens CH, Buring \nJE. Epidemiology in Medicine. Boston (MA): Little, Brown; 1987 ). \nOutro tipo de vari\u00e1vel independente \u00e9 a intervenien te (ou intermedi\u00e1ria), assim denominada porque \nse encontra no caminho causal entre a vari\u00e1vel inde pendente principal e a vari\u00e1vel dependente. Veja a figura \nabaixo: \n \n \n \n \nUm exemplo de vari\u00e1vel interveniente pode ser encon trado no artigo: Niobey FML, Duchiade MP, \nVasconcelos AGG, Carvalho ML, Leal MC, Valente JG. Fatores de risco para morte por pneumonia em \nmenores de um ano em uma regi\u00e3o metropolitana do su deste do Brasil. Um estudo tipo caso-controle. Rev \nSa\u00fade P\u00fablica 1992", "doc_id": "d5f936af-21e2-442d-af3c-969c646606d2", "embedding": null, "extra_info": null, "index": 30, "child_indices": [], "ref_doc_id": "c87fefc3-d573-489d-8532-80eaaef30ae0", "node_info": {"start": 53216, "end": 54795}}, "4309213786781973240": {"text": "1992 Ago;26(4):229-38 . Os autores sugerem que a condi\u00e7\u00e3o social da fam\u00edl ia determina o \npeso ao nascer, que por sua vez influencia a mortal idade por pneumonia em menores de um ano. Assim, pa ra \neles, \u00e9 atrav\u00e9s da ocorr\u00eancia de baixo peso que a c ondi\u00e7\u00e3o social se associa a uma maior mortalidade p or \npneumonia, como apresentado na figura abaixo: \n \n \n \n \n\u00c9 importante identificarmos as vari\u00e1veis intervenie ntes, de modo a evitar que essas sejam \nneutralizadas, pois, sendo intervenientes, ao neutr aliz\u00e1-las os pesquisadores estariam cometendo uma f alha \nanal\u00edtica grave, j\u00e1 que sua neutraliza\u00e7\u00e3o anularia tamb\u00e9m o efeito da vari\u00e1vel independente principal. \n \n\u2500 Por qu\u00ea? \n \n\u2500 Ora! Se uma vari\u00e1vel \u00e9 interveniente, seu surgimen to decorre da a\u00e7\u00e3o da vari\u00e1vel independente \nprincipal, e esta, por sua vez, s\u00f3 poder\u00e1 exercer s ua influ\u00eancia sobre a vari\u00e1vel dependente atrav\u00e9s d a \nvari\u00e1vel interveniente. Se esta \u00faltima, portanto, f or neutralizada, o efeito da vari\u00e1vel independente principal \ntamb\u00e9m ser\u00e1 anulado. E a \u00faltima coisa que voc\u00ea pode desejar que aconte\u00e7a em seu estudo \u00e9 que sua Peso \nao nascer Mortalidade por \npneumonia Condi\u00e7\u00e3o social \nda fam\u00edlia H\u00e1bito \nde \nfumar \n \nIdade \nC\u00e2ncer de pulm\u00e3o \n \nVari\u00e1vel \nindependente \nprincipal Vari\u00e1vel \ninterveniente Vari\u00e1vel \ndependente \n 17 \nvari\u00e1vel independente principal seja neutralizada, porque \u00e9 preciso que", "doc_id": "97ae6265-7271-4c75-95da-76ea50c45088", "embedding": null, "extra_info": null, "index": 31, "child_indices": [], "ref_doc_id": "c87fefc3-d573-489d-8532-80eaaef30ae0", "node_info": {"start": 54804, "end": 56255}}, "4309505538527395603": {"text": "essa vari\u00e1vel varie livremente nos \ngrupos que est\u00e3o sendo comparados para que possamos analisar os resultados e chegar a alguma conclus\u00e3o \na respeito da influ\u00eancia dessa vari\u00e1vel sobre a var i\u00e1vel dependente do estudo. No exemplo acima, se \nneutraliz\u00e1ssemos a influ\u00eancia do peso ao nascer, es tar\u00edamos tamb\u00e9m anulando o efeito da condi\u00e7\u00e3o socia l \nsobre a mortalidade por pneumonias, o que compromet eria completamente o estudo. \nVoc\u00ea deve tamb\u00e9m estar atento(a) ao fato de que uma vari\u00e1vel independente secund\u00e1ria pode \nmodificar o efeito de uma vari\u00e1vel independente principal sobre a var i\u00e1vel dependente estudada. Vimos \nanteriormente que uma vari\u00e1vel pode confundir uma associa\u00e7\u00e3o entre outras duas vari\u00e1veis. Agora estamos \nvendo que uma vari\u00e1vel pode modificar essa associa\u00e7\u00e3o. Um dos m\u00e9todos estat\u00edsticos mais simples para \nverifica\u00e7\u00e3o tanto da exist\u00eancia de confus\u00e3o como de modifica\u00e7\u00e3o de efeito (tamb\u00e9m chamada de intera\u00e7\u00e3o \nentre vari\u00e1veis) \u00e9 denominado \u201can\u00e1lise estratificad a\u201d. Voc\u00ea pode estudar esse m\u00e9todo nos livros j\u00e1 sug eridos. \nSe voc\u00ea estivesse estudando a associa\u00e7\u00e3o entre diet a rica em carnes e verduras frescas e c\u00e2ncer da \nboca ou orofaringe, e encontrasse associa\u00e7\u00f5es estat isticamente diferentes entre essas vari\u00e1veis ao ana lisar \nseparadamente os indiv\u00edduos que consumiam e os que n\u00e3o consumiam freq\u00fcentemente bebidas alco\u00f3licas, \nisso deveria ser considerado por voc\u00ea como evid\u00eanci a de exist\u00eancia de intera\u00e7\u00e3o entre o consumo de beb idas \nalco\u00f3licas e dieta rica em carnes e verduras fresca s. Haveria intera\u00e7\u00e3o entre consumo", "doc_id": "0b569249-8e43-4101-9ff6-40b2e6a135e9", "embedding": null, "extra_info": null, "index": 32, "child_indices": [], "ref_doc_id": "c87fefc3-d573-489d-8532-80eaaef30ae0", "node_info": {"start": 56260, "end": 57828}}, "6517924109479602178": {"text": "consumo de bebidas alco\u00f3 licas e \ndieta, porque consumir ou n\u00e3o essas bebidas alterar ia (modificaria ) a associa\u00e7\u00e3o (o efeito ) da dieta sobre \naqueles c\u00e2nceres. Por isso, a \u201cintera\u00e7\u00e3o\u201d entre var i\u00e1veis \u00e9 tamb\u00e9m chamada de \u201cmodifica\u00e7\u00e3o de efeito\u201d. \nA intera\u00e7\u00e3o pode ser positiva (tamb\u00e9m chamada de si nergismo) quando a presen\u00e7a de uma aumenta \no efeito da outra, ou negativa (tamb\u00e9m chamada de a ntagonismo) quando a presen\u00e7a de uma diminui o efei to \nda outra. \nAl\u00e9m das leituras j\u00e1 sugeridas, se estiver interess ado(a) nos assuntos \u201cconfundimento\u201d e \u201cintera\u00e7\u00e3o\u201d, \npode tamb\u00e9m estudar as p\u00e1ginas 618 a 623 do livro Daniel WW. Biostatistics: a foundation for analysis in the \nhealth sciences. 7 a ed. New York (NY): John Wiley e Sons; 1999 e/ou as p\u00e1ginas 591 a 605 do livro Rosner B. \nFundamentals of Biostatistics. 5 a ed. Pacifc Grove (CA): Duxbury; 2000 . \n Outro aspecto importante \u00e9 que uma vari\u00e1vel em um determinado estudo pode ser independente \nprincipal, mas em outro, pode ser dependente. Um pe squisador pode, p. ex., estar interessado em invest igar \nse o fato de um indiv\u00edduo saber que tem c\u00e2ncer de p ulm\u00e3o em um est\u00e1gio avan\u00e7ado aumenta a probabilidad e \ndele adquirir o h\u00e1bito de fumar, devido \u00e0s tens\u00f5es psicol\u00f3gicas decorrentes da situa\u00e7\u00e3o dif\u00edcil em que se \nencontra. Nesse estudo, a vari\u00e1vel independente pri ncipal seria o c\u00e2ncer de pulm\u00e3o e o h\u00e1bito de fumar a \nvari\u00e1vel dependente. Observe a seguir que agora as duas vari\u00e1veis est\u00e3o em posi\u00e7\u00f5es completamente \ndiferentes", "doc_id": "492cfee9-a1e9-44f4-9249-2315e565f34d", "embedding": null, "extra_info": null, "index": 33, "child_indices": [], "ref_doc_id": "c87fefc3-d573-489d-8532-80eaaef30ae0", "node_info": {"start": 57822, "end": 59324}}, "2292892391217954189": {"text": "daquelas que ocupavam no exemplo mencion ado anteriormente: \n \n \n \n \n \n \n \n \n \n \nSegundo o quadro de hip\u00f3teses atual, h\u00e1bito de fuma r \u00e9 a vari\u00e1vel dependente, c\u00e2ncer de pulm\u00e3o \npassou a ser a vari\u00e1vel independente principal e a idade continua sendo uma vari\u00e1vel independente \nsecund\u00e1ria ou covari\u00e1vel. C\u00e2ncer \nde \npulm\u00e3o \n \nIdade \nH\u00e1bito de fumar \n \n 18 \nH\u00e1 outras denomina\u00e7\u00f5es para vari\u00e1veis considerando- se o seu lugar no quadro de hip\u00f3teses do \nestudo, mas detalhar melhor esse tema foge aos obje tivos deste livro. Se estiver interessado em aprofu ndar o \nt\u00f3pico, sugerimos que procure outra fonte ( Forattini OP. Epidemiologia Geral. 2 a ed. S\u00e3o Paulo (SP): Artes \nM\u00e9dicas; 1996 ). \nVeja a seguir um resumo dos tipos de vari\u00e1veis, seg undo sua posi\u00e7\u00e3o no quadro de hip\u00f3teses da \npesquisa: \n \nCLASSIFICA\u00c7\u00c3O DAS VARI\u00c1VEIS SEGUNDO SUA POSI\u00c7\u00c3O NO \nQUADRO DE HIP\u00d3TESES DA PESQUISA \nDependente Sup\u00f5e-se que sua ocorr\u00eancia depende da i nflu\u00eancia das vari\u00e1veis independentes \nIndependente Principal (de estudo, de interesse, \ncausal) \u00c9 (ou s\u00e3o) a(s) vari\u00e1vel(is) de interesse do estudo \nSecund\u00e1ria (covari\u00e1vel, confundi-\ndora ou de intera\u00e7\u00e3o, a ser \nneutralizada ou controlada) \u00c9 (ou s\u00e3o) a(s) vari\u00e1vel(is) que pode(m) influencia r \na associa\u00e7\u00e3o principal do estudo \nInterveniente \u00c9 (ou s\u00e3o) a(s) vari\u00e1vel(is) que se encontram no ca minho causal entre a vari\u00e1vel \nindependente", "doc_id": "3b042c0f-ea72-4164-853b-6312bb96c44c", "embedding": null, "extra_info": null, "index": 34, "child_indices": [], "ref_doc_id": "c87fefc3-d573-489d-8532-80eaaef30ae0", "node_info": {"start": 59332, "end": 60734}}, "4032957011856696674": {"text": "principal e a vari\u00e1vel dependente do e studo; \nN\u00e3o devem ser neutralizadas \n \nVoc\u00ea poder\u00e1 classificar vari\u00e1veis tamb\u00e9m levando em conta se est\u00e3o medidas em um espectro de \nvalores cont\u00ednuos ou n\u00e3o. Por esse crit\u00e9rio, as var i\u00e1veis s\u00e3o denominadas de cont\u00ednuas ou discretas . \nPoderiam t\u00ea-las denominado como cont\u00ednuas ou descon t\u00ednuas, mas se os estat\u00edsticos podem complicar para \nque simplificar? As vari\u00e1veis \u201cpeso\u201d, \u201caltura\u201d, \u201cid ade\u201d, \u201cn\u00edvel de glicemia\u201d, s\u00e3o exemplos de vari\u00e1vei s cont\u00ednuas \nporque os valores que podem ocorrer para essas vari \u00e1veis variam em uma escala cont\u00ednua. Portanto, n\u00e3o h\u00e1 \nintervalos, saltos, entre os poss\u00edveis valores dess as vari\u00e1veis. A idade, p. ex., pode ser medida em a nos, \nmeses, semanas, dias, horas, minutos, segundos, de modo a praticamente n\u00e3o haver intervalo entre um va lor \nposs\u00edvel e outro dessa vari\u00e1vel. \n \n \u2500 Voc\u00eas n\u00e3o classificaram anteriormente as vari\u00e1veis \u201cpeso\u201d, \u201caltura\u201d e \u201cidade\u201d como \nvari\u00e1veis quantitativas? E a idade tamb\u00e9m j\u00e1 n\u00e3o fo i chamada de vari\u00e1vel independente secund\u00e1ria ou \ncovari\u00e1vel? Como \u00e9 que agora a idade \u00e9 classificada tamb\u00e9m como vari\u00e1vel cont\u00ednua? \n \n \u2500 \u00c9 exatamente isso! Uma mesma vari\u00e1vel pode ser den ominada por v\u00e1rias maneiras diferentes, \nporque existem diversos crit\u00e9rios para sua classifi ca\u00e7\u00e3o. Ent\u00e3o, a vari\u00e1vel \u201cidade\u201d pode ser classific ada como \nquantitativa porque expressa quantidades; como dependente, inde pendente principal, covari\u00e1vel ou \ninterveniente , a depender de sua posi\u00e7\u00e3o no", "doc_id": "39bd97bf-5c31-4286-b7f6-d2c9c2cf7e14", "embedding": null, "extra_info": null, "index": 35, "child_indices": [], "ref_doc_id": "c87fefc3-d573-489d-8532-80eaaef30ae0", "node_info": {"start": 60735, "end": 62228}}, "4697858729317340072": {"text": "sua posi\u00e7\u00e3o no quadro de hip\u00f3teses do estudo; como cont\u00ednua porque \u00e9 \nexpressa em uma escala cont\u00ednua de valores; e assim por diante. \n As vari\u00e1veis discretas s\u00e3o expressas em valores descont\u00ednuos. Esses, por serem descont\u00ednuos, s\u00e3o \nchamados de categorias da vari\u00e1vel. Ou seja, h\u00e1 um intervalo entre uma categoria e outra da vari\u00e1vel. Alguns \nexemplos desse tipo de vari\u00e1vel s\u00e3o: sexo, estado c ivil, ra\u00e7a, n\u00famero de filhos e n\u00famero de gesta\u00e7\u00f5es. Estas \nduas \u00faltimas, embora quantitativas, s\u00e3o vari\u00e1veis d iscretas porque n\u00e3o podem ser expressas em valores \ncont\u00ednuos. Seria absurdo admitirmos um filho e meio ou uma gesta\u00e7\u00e3o e meia, n\u00e3o \u00e9? Uma mulher n\u00e3o tem \nmetade de um filho, metade de uma gesta\u00e7\u00e3o (um abor to n\u00e3o deve ser considerado como metade de uma \ngesta\u00e7\u00e3o; um aborto \u00e9 um aborto). Assim tem-se um f ilho, ou dois, ou tr\u00eas, etc.; uma gesta\u00e7\u00e3o, ou duas , ou \ntr\u00eas, etc. Essas vari\u00e1veis, portanto, n\u00e3o variam em valores cont\u00ednuos, n\u00e3o podendo ser expressas em \n 19 \nn\u00fameros fracion\u00e1rios. \n As vari\u00e1veis \u201csexo\u201d, \u201cestado civil\u201d e \u201cra\u00e7a\u201d, s\u00e3o ainda mais claramente descont\u00ednuas (discretas), j\u00e1 \nque h\u00e1 intervalos evidentes entre suas poss\u00edveis ca tegorias. \n \n \n \n \n \n \n \nObserve que a vari\u00e1vel \u201csexo\u201d tamb\u00e9m j\u00e1 recebeu, at \u00e9 o momento, diferentes denomina\u00e7\u00f5es. \u00c9 \nqualitativa porque suas categorias (masculino e feminino) expr essam qualidades distintas e n\u00e3o quantidades; \ngeralmente, mas n\u00e3o obrigatoriamente, se posiciona como vari\u00e1vel", "doc_id": "f920ac8b-4162-44df-9488-74fd9d1d4ec1", "embedding": null, "extra_info": null, "index": 36, "child_indices": [], "ref_doc_id": "c87fefc3-d573-489d-8532-80eaaef30ae0", "node_info": {"start": 62217, "end": 63673}}, "4807195823251644458": {"text": "independente secund\u00e1ria no quadro de \nhip\u00f3teses, porque queremos saber qual a sua influ\u00ean cia na ocorr\u00eancia das doen\u00e7as (se quisermos estudar \nque caracter\u00edsticas ou h\u00e1bitos das gestantes influe nciam o sexo da crian\u00e7a que ir\u00e1 nascer, a vari\u00e1vel \u201csexo\u201d \nser\u00e1 dependente ); e \u00e9 discreta porque seus valores (categorias) s\u00e3o separados por intervalos, ou seja, n\u00e3o \npodem ser expressos em valores cont\u00ednuos. \n Podemos classificar as vari\u00e1veis tamb\u00e9m de acordo com o n\u00famero de categorias que possuem. Por \nesse crit\u00e9rio, classificaremos uma vari\u00e1vel como di cot\u00f4mica se essa admitir apenas duas categorias. A \nvari\u00e1vel \u201csexo\u201d, p. ex., tal como utilizada comumen te, admite apenas duas classifica\u00e7\u00f5es: sexo masculi no ou \nfeminino, sendo portanto, uma vari\u00e1vel dicot\u00f4mica. As vari\u00e1veis com respostas sim ou n\u00e3o, ou presente ou \nausente, s\u00e3o tamb\u00e9m exemplos de vari\u00e1veis dicot\u00f4mic as. \n \n \u2500 E se o n\u00famero de categorias for maior do que dois? \n \n\u2500 Denominaremos a vari\u00e1vel de policot\u00f4mica . Alguns exemplos: \u201cGrau de instru\u00e7\u00e3o\u201d (analfabeto, \nprimeiro grau incompleto, primeiro grau completo, s egundo grau incompleto, segundo grau completo, terc eiro \ngrau incompleto, terceiro grau completo, p\u00f3s-gradua \u00e7\u00e3o incompleta, p\u00f3s-gradua\u00e7\u00e3o completa); \u201cinser\u00e7\u00e3o no \nprocesso produtivo\u201d (aposentado, assalariado, aut\u00f4n omo, pequeno propriet\u00e1rio, grande propriet\u00e1rio); e \u201cra\u00e7a\u201d \n(negro, branco, mulato escuro, mulato m\u00e9dio, mulato claro, amarelo, \u00edndio). \n \n \n \n \n \n \n \n", "doc_id": "f165527f-ace6-4f1e-aaa4-b756460809a8", "embedding": null, "extra_info": null, "index": 37, "child_indices": [], "ref_doc_id": "c87fefc3-d573-489d-8532-80eaaef30ae0", "node_info": {"start": 63686, "end": 65147}}, "5853921246333745373": {"text": "\n \n \n \n \n \n \nOutro crit\u00e9rio de classifica\u00e7\u00e3o leva em conta se as freq\u00fc\u00eancias de indiv\u00edduos nas diferentes \ncategorias da vari\u00e1vel foram fixadas previamente pe lo investigador ou n\u00e3o. Na primeira situa\u00e7\u00e3o a vari \u00e1vel \u00e9 \nchamada de fixa , porque teve o n\u00famero de indiv\u00edduos em cada catego ria fixado no planejamento do estudo, e \nna segunda \u00e9 denominada aleat\u00f3ria , porque suas freq\u00fc\u00eancias puderam variar aleatoriam ente, sem \ninterfer\u00eancia do pesquisador. Se, em um estudo epid emiol\u00f3gico do tipo caso-controle, decid\u00edssemos estu dar \nigual n\u00famero de casos e controles, a presen\u00e7a ou au s\u00eancia da doen\u00e7a estudada, que seria nossa vari\u00e1vel Quanto ao n\u00famero de categorias \nVari\u00e1vel dicot\u00f4mica \nEx.: sexo, h\u00e1bito de fumar (sim ou n\u00e3o) Vari\u00e1vel policot\u00f4mica \nEx.: grau de instru\u00e7\u00e3o, inser\u00e7\u00e3o no processo produt ivo, ra\u00e7a \n(quando expressas em mais de duas categorias) Quanto \u00e0 continuidade entre seus poss\u00edveis valores \nVari\u00e1vel cont\u00ednua \nEx.: peso, altura, idade, glicemia Vari\u00e1vel discreta \nEx.: sexo, estado civil, ra\u00e7a, n o de filhos, no de gesta\u00e7\u00f5es \n 20 \ndependente, e que especificaria os dois grupos a se rem comparados, seria uma vari\u00e1vel fixa, j\u00e1 que n\u00f3s \nfixar\u00edamos previamente quantos seriam os casos e qu antos os controles. Se, nesse mesmo exemplo, nossa \nvari\u00e1vel independente principal fosse \u201ch\u00e1bito de fu mar\u201d, e n\u00e3o fix\u00e1ssemos previamente o n\u00famero de fuma ntes \ne n\u00e3o fumantes a serem investigados, deixando que e sses n\u00fameros expressassem livremente (sem nossa \ninterfer\u00eancia) quantos fumantes", "doc_id": "a1355fa6-0c29-4055-a132-a62dc1e2080b", "embedding": null, "extra_info": null, "index": 38, "child_indices": [], "ref_doc_id": "c87fefc3-d573-489d-8532-80eaaef30ae0", "node_info": {"start": 65142, "end": 66653}}, "6203214954437909686": {"text": "ou n\u00e3o-fumantes rea lmente existissem na amostra ou popula\u00e7\u00e3o estudada, \nessa vari\u00e1vel seria classificada como aleat\u00f3ria. \n \n \n \n \n \n \n \nOutro crit\u00e9rio para classificarmos uma vari\u00e1vel \u00e9 o n\u00edvel de individualiza\u00e7\u00e3o da informa\u00e7\u00e3o contida na \nmesma. Por esse crit\u00e9rio uma vari\u00e1vel pode ser: ind ividualizada , agregada , ambiental ou global . \nExemplificando: se coletarmos e analisarmos a vari\u00e1 vel \u201ctabagismo\u201d considerando as categorias \u201csim\u201d e \u201cn\u00e3o\u201d, \ndeveremos classific\u00e1-la como individualizada, porqu e para cada indiv\u00edduo estudado teremos a informa\u00e7\u00e3o \nsobre se ele(a) fuma ou n\u00e3o. Mas, se a analisarmos como o porcentual de fumantes em determinadas \nlocalidades que estivermos comparando, a vari\u00e1vel \u201c tabagismo\u201d deve ser classificada como agregada, poi s, \nembora inicialmente tivesse sido coletada ao n\u00edvel individual, estar\u00e1 sendo considerada ao n\u00edvel agreg ado. O \nporcentual de fumantes expressar\u00e1 uma caracter\u00edstic a de cada grupo (agregado) de indiv\u00edduos investigad o, e \nn\u00e3o de cada indiv\u00edduo. \nUma vari\u00e1vel ser\u00e1 chamada de ambiental, se expressa r caracter\u00edsticas f\u00edsicas de um lugar no qual os \ngrupos estudados vivem e/ou trabalham, tais como: n \u00edvel de polui\u00e7\u00e3o do ar, n\u00edvel de radioatividade, e n\u00famero \nde horas de luz solar no local. Essas vari\u00e1veis pod em ser mensuradas ao n\u00edvel individual, mas, geralme nte, \nisso n\u00e3o \u00e9 feito. \nUma vari\u00e1vel ser\u00e1 chamada de global, se tiver intri nsecamente uma natureza coletiva, isto \u00e9, se \nexpressar uma informa\u00e7\u00e3o que n\u00e3o possa ser individu alizada. \u00c9 o", "doc_id": "564f6727-96ec-4731-a265-aaef87c5c538", "embedding": null, "extra_info": null, "index": 39, "child_indices": [], "ref_doc_id": "c87fefc3-d573-489d-8532-80eaaef30ae0", "node_info": {"start": 66660, "end": 68178}}, "8189842886253128361": {"text": "exemplo das vari\u00e1veis: \u201cdensidade \npopulacional\u201d e \u201cgrau de industrializa\u00e7\u00e3o\u201d, cuja ob ten\u00e7\u00e3o n\u00e3o faz sentido para indiv\u00edduos isoladamente . \nVoc\u00ea pode ler mais sobre esse crit\u00e9rio em Rothman KJ e Greenland S, editores. Modern \nepidemiology. 2 a ed. Philadelphia (PA): Lippincott Williams e Wilki ns; 1998 , nas p\u00e1ginas 460 e 461. \n \n \n \n \n \n \n \n \n \nAs vari\u00e1veis podem ser classificadas ainda de acord o com a modalidade da escala em que s\u00e3o \nmedidas. Por esse crit\u00e9rio, as vari\u00e1veis podem ser classificadas como nominais , ordinais , intervalares ou de \nraz\u00e3o . Sexo, com base nesse crit\u00e9rio, \u00e9 uma vari\u00e1vel nom inal porque al\u00e9m de cada uma de suas categorias \nindicar uma qualidade bem distinta da outra, n\u00e3o \u00e9 poss\u00edvel colocarmos suas categorias em ordem cresce nte Quanto \u00e0 fixa\u00e7\u00e3o pr\u00e9via das freq\u00fc\u00eancias \nVari\u00e1vel fixa Vari\u00e1vel aleat\u00f3ria \nQuanto \u00e0 individualiza\u00e7\u00e3o da informa\u00e7\u00e3o \nVari\u00e1vel \nindividualizada \nEx.: sexo (masc. ou \nfem.), h\u00e1bito de \nfumar (sim ou n\u00e3o) Vari\u00e1vel global \nEx.: grau de \nindustrializa\u00e7\u00e3o, \ndensidade \npopulacional Vari\u00e1vel agregada \nEx.: sexo (% de masc. ou % de \nfem.), h\u00e1bito de fumar (% de sins \nou % de n\u00e3os), m\u00e9dia de idade \nem subgrupos de uma popula\u00e7\u00e3o Vari\u00e1vel ambiental \nEx.: n\u00edvel de \npolui\u00e7\u00e3o do ar, n\u00edvel \nde radioatividade \n 21 \nou decrescente, por algum crit\u00e9rio de ordenamento a ceit\u00e1vel. Voc\u00ea sugere algum crit\u00e9rio aceit\u00e1vel para \ncolocarmos as categorias da vari\u00e1vel sexo em ordem? Nenhum crit\u00e9rio seria aceit\u00e1vel, n\u00e3o \u00e9?", "doc_id": "15f709e8-8d66-4d57-ba88-58f98ea739b0", "embedding": null, "extra_info": null, "index": 40, "child_indices": [], "ref_doc_id": "c87fefc3-d573-489d-8532-80eaaef30ae0", "node_info": {"start": 68179, "end": 69652}}, "6855457421973630063": {"text": "\n \n\u2500 E para as categorias da vari\u00e1vel \u201cra\u00e7a\u201d? \n \n\u2500 Se f\u00f4ssemos racistas poder\u00edamos ordenar as ra\u00e7as p ela suposta superioridade de umas sobre \noutras. Na nossa opini\u00e3o, como n\u00e3o existe um crit\u00e9r io aceit\u00e1vel para ordenar as categorias de ra\u00e7a, \nclassificaremos essa vari\u00e1vel tamb\u00e9m como nominal . O nome de cada categoria da vari\u00e1vel ra\u00e7a (negro, \nbranco, mulato escuro, mulato m\u00e9dio, mulato claro, amarelo, \u00edndio) indica uma qualidade racial, e isso \u00e9 o \nm\u00e1ximo que sua modalidade de escala consegue expres sar. \n As vari\u00e1veis ordinais , por sua vez, s\u00e3o aquelas cujas categorias podem s er postas em ordem \ncrescente ou decrescente, por algum crit\u00e9rio justif ic\u00e1vel. Este tipo de vari\u00e1vel j\u00e1 cont\u00e9m um certo gr au de \nquantifica\u00e7\u00e3o e \u00e9 isso que permite colocarmos suas categorias em ordem. \u201cGrau de instru\u00e7\u00e3o\u201d (analfabet o, \nprimeiro grau incompleto, primeiro grau completo, s egundo grau incompleto, segundo grau completo, terc eiro \ngrau incompleto, terceiro grau completo, p\u00f3s-gradua \u00e7\u00e3o incompleta, p\u00f3s-gradua\u00e7\u00e3o completa), p. ex., \u00e9 uma \nvari\u00e1vel ordinal porque podemos colocar suas catego rias ordenadas do menor ao maior grau de escolarida de \n(como fizemos acima) ou vice-versa. \nMas, note que n\u00e3o h\u00e1 intervalos regulares entre uma categoria e outra dessa vari\u00e1vel. Voc\u00ea p ode me \ngarantir que o intervalo entre analfabeto e primeir o grau incompleto tem a mesma amplitude que o inter valo \nentre primeiro grau incompleto e primeiro grau comp leto? \u00c9 claro que n\u00e3o! Portanto, para uma vari\u00e1vel ser \nclassificada como ordinal \u00e9 necess\u00e1rio que possamos colocar suas", "doc_id": "eb01d7ec-6aa6-4873-9a3f-1c4a83125040", "embedding": null, "extra_info": null, "index": 41, "child_indices": [], "ref_doc_id": "c87fefc3-d573-489d-8532-80eaaef30ae0", "node_info": {"start": 69653, "end": 71231}}, "3520091508329101464": {"text": "como ordinal \u00e9 necess\u00e1rio que possamos colocar suas categorias em ordem e que os interval os \nentre essas categorias n\u00e3o sejam regulares. Se as categorias de uma vari\u00e1vel puderem ser postas em ordem \ne, al\u00e9m disto, os intervalos entre essas categorias forem regulares, a vari\u00e1vel dever\u00e1 ser classificad a como \nintervalar ou de raz\u00e3o . \n \n \u2500 E ent\u00e3o, o que distingue uma vari\u00e1vel intervalar de uma de raz\u00e3o? \n \n \u2500 J\u00e1 vimos que tanto uma vari\u00e1vel intervalar como um a de raz\u00e3o podem ter suas categorias \ncolocadas em ordem e os intervalos entre essas cate gorias s\u00e3o regulares. O crit\u00e9rio para distingui-las \u00e9 se o \nvalor zero dessas vari\u00e1veis representa ou n\u00e3o a aus\u00eancia do f en\u00f4meno indicado pela vari\u00e1vel. O valor zero de \numa vari\u00e1vel intervalar n\u00e3o indica aus\u00eancia do fen\u00f4meno medido. O valor zero para a vari\u00e1vel t emperatura, p. \nex., seja na escala Celsius ou na Fahrenheit, n\u00e3o i ndica aus\u00eancia de temperatura. Um determinado grau de \ntemperatura \u00e9 arbitrariamente designado como zero n essas escalas. Assim, a vari\u00e1vel \u201ctemperatura\u201d, mui to \nutilizada em pesquisas cl\u00ednicas para indicar a vari \u00e1vel \u201cfebre do paciente\u201d, \u00e9 um exemplo de vari\u00e1vel intervalar. \nEsse tipo de vari\u00e1vel \u00e9 muito raro em pesquisas cl\u00ed nicas e epidemiol\u00f3gicas. Se voc\u00ea nos solicitasse um outro \nexemplo de vari\u00e1vel intervalar usada em pesquisas e m sa\u00fade, ter\u00edamos que procurar e sabemos que essa \nn\u00e3o seria uma tarefa f\u00e1cil. \nDiferentemente, o zero de uma vari\u00e1vel de raz\u00e3o ind ica aus\u00eancia do fen\u00f4meno medido. Considere as \nvari\u00e1veis \u201cn\u00famero de filhos\u201d, \u201cn\u00famero de", "doc_id": "c1d973a9-4355-4b34-aadc-123f0f68e151", "embedding": null, "extra_info": null, "index": 42, "child_indices": [], "ref_doc_id": "c87fefc3-d573-489d-8532-80eaaef30ae0", "node_info": {"start": 71188, "end": 72748}}, "8779458493057829674": {"text": "\u201cn\u00famero de gesta\u00e7\u00f5es\u201d , \u201cidade\u201d, \u201cpeso\u201d e \u201caltura\u201d. Observe que essas pod em ter \nseus valores postos em ordem crescente ou decrescen te e, al\u00e9m disso, apresentam intervalos regulares e ntre \nos valores que podem assumir. A vari\u00e1vel \u201cn\u00famero de filhos\u201d varia regularmente a intervalos iguais de um \nfilho . O \u201cn\u00famero de gesta\u00e7\u00f5es\u201d varia sempre em unidades de uma gesta\u00e7\u00e3o . A \u201cidade\u201d varia em unidades \nregulares de anos, meses, semanas ou dias, etc., a depender do grau de precis\u00e3o com que esteja sendo \nmedida. O mesmo ocorre para o \u201cpeso\u201d (unidades de q uilos, gramas, centigramas, etc.) e a altura (unida des \nem metros, cent\u00edmetros, mil\u00edmetros, etc.). Todas as vari\u00e1veis exemplificadas acima s\u00e3o \u201cde raz\u00e3o\u201d porq ue, \nal\u00e9m das caracter\u00edsticas apontadas acima, seu valor zero indica aus\u00eancia do fen\u00f4meno representado. Assim, \no valor zero para o \u201cn\u00famero de filhos\u201d ou \u201cde gesta \u00e7\u00f5es\u201d, indica a aus\u00eancia de filhos ou de gesta\u00e7\u00f5es. Note \n 22 \nque para as vari\u00e1veis \u201cidade\u201d, \u201cpeso\u201d ou \u201caltura\u201d, o valor zero n\u00e3o se refere, obviamente, a uma reali dade \nbiol\u00f3gica individual imposs\u00edvel, mas \u201cmede\u201d teorica mente a pr\u00f3pria inexist\u00eancia do indiv\u00edduo. Ent\u00e3o, a \nequa\u00e7\u00e3o aus\u00eancia do fen\u00f4meno = aus\u00eancia do indiv\u00eddu o = valor zero nos leva a classificar essas vari\u00e1ve is \ncomo de raz\u00e3o. Observe que a idade considerada ness e exemplo \u00e9 aquela freq\u00fcentemente utilizada em \nestudos", "doc_id": "0cfe03e6-4bfb-42fc-85fb-8923f1b93f8d", "embedding": null, "extra_info": null, "index": 43, "child_indices": [], "ref_doc_id": "c87fefc3-d573-489d-8532-80eaaef30ae0", "node_info": {"start": 72784, "end": 74162}}, "2410177131366457637": {"text": "epidemiol\u00f3gicos, cuja medida se inicia com o nascimento. Se estiv\u00e9ssemos considerando a vari\u00e1v el \n\u201cidade gestacional\u201d, o zero indicaria n\u00e3o-ocorr\u00eanci a da concep\u00e7\u00e3o. \n \n\u2500 Mas, por que \u00e9 importante o fato do valor zero de u ma vari\u00e1vel representar ou n\u00e3o a \naus\u00eancia do fen\u00f4meno indicado por aquela vari\u00e1vel? \n \n\u2500 Porque se o zero expressa aus\u00eancia, podemos afirma r que, p. ex., o peso de um indiv\u00edduo com \n100 kg \u00e9 o dobro daquele de um indiv\u00edduo com 50 kg, ou que a idade de uma pessoa com 40 anos \u00e9 o dobro \ndaquela com 20 anos. Assim, poderemos dizer que a r az\u00e3o dos pesos ou das idades entre esses dois \nindiv\u00edduos \u00e9 dois. Por isso, esse tipo de vari\u00e1vel \u00e9 denominado de raz\u00e3o . Tal compara\u00e7\u00e3o n\u00e3o pode ser feita \nse a vari\u00e1vel for intervalar, pois como o zero dess e tipo de vari\u00e1vel n\u00e3o indica aus\u00eancia do fen\u00f4meno, n\u00e3o h\u00e1 \num valor de refer\u00eancia (o zero) que torne poss\u00edvel o c\u00e1lculo dessas raz\u00f5es. \nResumindo: \n \nCLASSIFICA\u00c7\u00c3O DAS VARI\u00c1VEIS SEGUNDO SEU GRAU DE EXP RESS\u00c3O \nQUANTITATIVA (A MODALIDADE DE SUA ESCALA) \nNominal N\u00e3o expressa quantidade; \nsuas categorias n\u00e3o podem ser colocadas em ordem \nEx.: sexo, ra\u00e7a \nOrdinal Expressa quantidade embora ainda de forma limitada; suas categorias podem \nser postas em ordem; seus intervalos s\u00e3o irregulare s \nEx.: grau de instru\u00e7\u00e3o, grau de desnutri\u00e7\u00e3o (leve, moderada, grave) \nIntervalar Expressa quantidade de modo mais exuberante; suas c ategorias podem ser \npostas em", "doc_id": "2a5c6a42-d32c-4e68-b92a-0c678bf9ee97", "embedding": null, "extra_info": null, "index": 44, "child_indices": [], "ref_doc_id": "c87fefc3-d573-489d-8532-80eaaef30ae0", "node_info": {"start": 74172, "end": 75623}}, "5109355693281491615": {"text": "ordem; seus intervalos s\u00e3o regulares; val or zero n\u00e3o indica \naus\u00eancia do fen\u00f4meno medido \nEx.: temperatura \nDe raz\u00e3o Expressa quantidade de modo mais exuberante; suas c ategorias podem ser \npostas em ordem; seus intervalos s\u00e3o regulares; val or zero indica aus\u00eancia do \nfen\u00f4meno medido \nEx.: n o de filhos, n o de gesta\u00e7\u00f5es, n o de cigarros, idade, peso, altura \n \n \u2500 Para que todo esse esfor\u00e7o em classificar vari\u00e1veis ? Isso \u00e9 realmente necess\u00e1rio? \n \n\u2500 Ao longo do livro voc\u00ea ver\u00e1 que \u00e9 indispens\u00e1vel id entificarmos quais os tipos de vari\u00e1veis que \nestudaremos na nossa pesquisa, porque ser\u00e1 com base neste, e em outros aspectos discutidos mais adiant e, \nque escolheremos a t\u00e9cnica estat\u00edstica adequada par a a an\u00e1lise. \n \n \u2500 Tudo bem, mas se s\u00e3o tantas classifica\u00e7\u00f5es, qual de vemos utilizar? \n \n \u2500 A \u00faltima classifica\u00e7\u00e3o, aquela baseada na modalida de da escala de medi\u00e7\u00e3o da vari\u00e1vel, \u00e9 a mais \nutilizada pelos estat\u00edsticos. \n \n \u2500 E o que veremos em seguida? \n \n\u2500 No pr\u00f3ximo cap\u00edtulo, discutiremos com voc\u00ea qual o motivo para estudarmos uma amostra e n\u00e3o \ntoda a popula\u00e7\u00e3o de interesse. Veremos tamb\u00e9m como selecionar adequadamente a amostra, e quais as \nimplica\u00e7\u00f5es estat\u00edsticas decorrentes da obten\u00e7\u00e3o de dados em uma amostra. 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