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Tags
list
11149
1
null
null
8
18390
Is the method of mean substitution for replacing missing data out of date? Are there more sophisticated models that should be used? If so, what are they?
Is the method of mean substitution for replacing missing data out of date?
CC BY-SA 3.0
null
2011-05-23T11:33:59.683
2011-05-24T10:59:39.857
2011-05-23T11:54:25.253
183
4716
[ "missing-data" ]
11150
2
null
11149
14
null
Barring the fact that it's not necessary to shoot mosquitoes with a cannon (i.e. if you have one missing value in a million data points, just drop it), using the mean could be suboptimal to say the least: the result can be biased, and you should at least correct the result for the uncertainty. There are some other opti...
null
CC BY-SA 3.0
null
2011-05-23T11:53:59.070
2011-05-23T12:21:03.900
2011-05-23T12:21:03.900
2116
4257
null
11151
2
null
11149
11
null
You did not tell us very much about the nature of your missing data. Did you check for MCAR ([Missing Completely at Random](http://en.wikipedia.org/wiki/Missing_completely_at_random))? Given that you cannot assume MCAR, mean substitution can lead to biased estimators. As a non-mathematical starting point, I can recomm...
null
CC BY-SA 3.0
null
2011-05-23T11:54:42.270
2011-05-23T11:54:42.270
null
null
307
null
11152
1
11154
null
3
123
I am going to be hosting a number (~10) of [potluck meals](http://en.wikipedia.org/wiki/Potluck) over the course of the summer, my pool of people to invite is about 40 people with about 10-15 coming to each meal. So I figure this would be a good opportunity to record data over time about the meals/people. The issue I a...
Statistics of events and invitations
CC BY-SA 3.0
null
2011-05-23T13:12:51.430
2011-05-23T22:49:21.180
2011-05-23T22:49:21.180
307
4717
[ "dataset", "multilevel-analysis", "trend" ]
11153
2
null
11149
2
null
If your missing values are randomly distributed, or your sample size is small, you might be better off just using the mean. I would first split the data into two parts: 1 with the missing values and the other without and then test for the difference in means of some key variables between the two samples. If there is ...
null
CC BY-SA 3.0
null
2011-05-23T15:03:30.203
2011-05-23T15:03:30.203
null
null
3489
null
11154
2
null
11152
3
null
Yoel, great question! I will address your question of what can be an "efficient and concise way of recording the data". Given your small data set, the following thoughts are more of theoretical nature than of practical use. You have (what social scientists call) a multilevel data set, e.g. students (level 1) are nested...
null
CC BY-SA 3.0
null
2011-05-23T15:06:28.850
2011-05-23T22:44:00.780
2011-05-23T22:44:00.780
307
307
null
11155
2
null
11101
1
null
With a sample size of 104, any factor analysis is going to be shaky at best. The best approach is probably to collect more data (not really that useful an answer, but its true). [This page](http://www.technion.ac.il/docs/sas/stat/chap26/sect21.htm) gives some useful advice. [Fabrigar et al (1999)](http://www.statpower....
null
CC BY-SA 3.0
null
2011-05-23T15:54:10.807
2011-05-23T15:54:10.807
null
null
656
null
11156
2
null
11088
4
null
The best (fastest to run, not fastest to code;) free solution I have found in Matlab was to wrap R's MATHLIB_STANDALONE c library with a mex function. This gives you access to R's t-distribution PRNG. One advantage of this approach is that you also can use the same trick to get variates from a non-central t distributio...
null
CC BY-SA 3.0
null
2011-05-23T17:29:06.840
2011-06-15T04:05:39.333
2011-06-15T04:05:39.333
795
795
null
11157
1
11162
null
4
1045
I have time series data that represent dates/times of trades taken in a financial market. I would like to assign a score to this data that represents whether the trades are `mostly clustered` around particular time values or if they are `mostly spread out` evenly. I am going to have about 1000+ results per dataset. E...
What statistical test can I use to detect clumping?
CC BY-SA 3.0
null
2011-05-23T18:01:24.313
2011-05-24T21:34:01.523
null
null
4544
[ "time-series", "statistical-significance", "standard-error" ]
11158
2
null
11021
1
null
I contacted Sean at RezScore and he clarified some things for me. In a nutshell, inserting buzzwords into a hidden text box seems to be a good idea if you don't want to put them in your actual resume. However, you should be selective about which words you include because many of the algorithms penalize verbosity. Maybe...
null
CC BY-SA 3.0
null
2011-05-23T18:12:47.270
2011-05-23T18:12:47.270
null
null
4685
null
11159
2
null
11138
1
null
I'm answering about another approach that doesn't use hard cuts on the dendrogram. I would suggest you to use something like linear discriminant analysis (LDA) or any other technique that allows you to predict the class of the unlabeled points. (There are many techniques that can do the job, but I find LDA the easiest)...
null
CC BY-SA 3.0
null
2011-05-23T18:21:27.423
2011-05-23T18:21:27.423
null
null
2902
null
11160
2
null
11138
0
null
Just my two cents, but I would look at decision trees or using your initial cluster analysis to determine a suitable number of clusters, and then use kmeans to refine. From there, you can get the cluster centers and reclassify new cases based on those centers. HTH.
null
CC BY-SA 3.0
null
2011-05-23T18:45:34.503
2011-05-23T18:45:34.503
null
null
569
null
11161
1
null
null
1
137
I have a sequence of integers that represent total sales of my product for each day. From time to time, we have large press or marketing events that increase sales on the day of the event and for a few days after that but then eventually taper down to the long-run average. Here's some made-up numbers showing what I mea...
How can I isolate the effect of an event on a sequence of sales numbers?
CC BY-SA 3.0
null
2011-05-23T19:24:32.360
2011-05-24T01:52:15.880
null
null
4718
[ "mean" ]
11162
2
null
11157
1
null
I would simply calculate a rolling window of the number of trades (or dollar volume) per hour, day, week, or whatever time frame that makes sense. For example, you might use 1 day as the rolling window. If 1 trade per day is a low degree of clustering then 10 trades per day might be a high degree of clustering. If...
null
CC BY-SA 3.0
null
2011-05-23T19:35:59.183
2011-05-24T02:24:52.420
2011-05-24T02:24:52.420
2775
2775
null
11163
1
null
null
7
549
I would like to test that two difference/distance/dissimilarity matrices are not the same. i.e. the rows and columns between the two matrices represent the same features, but the distances are obtained from 2 populations and I'm interested in whether the difference matrices "look different" between the populations. I'm...
How to test whether two distance/difference matrices are different?
CC BY-SA 3.0
null
2011-05-23T19:43:20.070
2011-06-23T01:02:47.060
2011-05-23T23:19:53.857
null
4720
[ "clustering" ]
11164
1
11966
null
5
118
Suppose we have 500 students nested in 20 classes (different classrooms), 25 students per class ``` student<-factor(1:500) class<-rep(LETTERS[1:20],each=25) ``` They all take a test. ``` score<-rnorm(500,mean=80,sd=5) ``` The model below would tell you about the average scores and variability among students and class...
Testing for the effect of an intervention when it is applied on a group of which each individual is measured
CC BY-SA 3.0
null
2011-05-23T19:50:26.923
2012-08-30T23:40:21.070
2012-08-30T23:40:21.070
5739
3874
[ "r", "mixed-model", "multilevel-analysis", "blocking" ]
11165
1
11173
null
7
1888
Take the task of fitting an a priori distribution like the ex-Gaussian to a collection of observed human response times (RT). One method is to compute the sum log likelihood of each observed RT given a set of candidate ex-Gaussian parameters, then try to find the set of parameters that maximizes this sum log likelihood...
Is this a reasonable approach to fitting distributions?
CC BY-SA 3.0
null
2011-05-23T20:08:50.817
2013-07-04T10:37:48.477
2013-07-04T10:37:48.477
17230
364
[ "distributions", "fitting" ]
11166
2
null
11165
0
null
Take a look at the QQ-Plot (under my answer) in the following link: [Need help identifying a distribution by its histogram](https://stats.stackexchange.com/questions/8662/need-help-identifying-a-distribution-by-its-histogram/8674#8674)
null
CC BY-SA 3.0
null
2011-05-23T20:19:23.160
2011-05-23T20:19:23.160
2017-04-13T12:44:39.283
-1
2775
null
11167
2
null
11165
6
null
What you are proposing is called quantile matching, though the way you propose to do it will be exhausting. The ex-Gaussian distribution can be found in the package `gamlss.dist` with quantiles as `qexGAUS` etc.; it uses `nu` where you use `tau`. A similar quantile matching method can be used in the function `fitdist...
null
CC BY-SA 3.0
null
2011-05-23T22:21:40.967
2011-05-23T22:21:40.967
null
null
2958
null
11168
1
null
null
10
48626
Should the n for sample size be capitalized? Is there a difference between n and N?
Capitalization of n for sample size
CC BY-SA 3.0
null
2011-05-23T23:59:06.663
2021-06-09T20:54:57.477
2011-05-24T01:13:30.937
2902
4722
[ "notation" ]
11169
2
null
11168
11
null
There is actually a difference in some textbooks: $N$ generally means population size and $n$ sample size. However, this is not always the case. You should check in your textbook. :)
null
CC BY-SA 3.0
null
2011-05-24T00:03:19.040
2011-05-24T00:03:19.040
null
null
2902
null
11170
2
null
11163
2
null
I am not sure I understand what you mean by difference/distance/dissimilarity matrix. Assuming that $D_{i,j}^2 = (v_i - v_j)^{\top}(v_i - v_j)$ for some vectors $v_i, v_j$, if you can accept a transformation to the crossproduct matrix $G_{i,j} = -2 v_i^{\top}v_j$ (say for example the vectors are normalized so $v_i^{\to...
null
CC BY-SA 3.0
null
2011-05-24T00:53:14.377
2011-05-24T00:53:14.377
null
null
795
null
11171
2
null
11161
1
null
To answer your question , one would be advised to build a single equation model which captured day-of-the-week effects (6 dummy indicators) and an indicator for the "event". Software exists to capture any lead, contemporaneous and.or lag effects around known event. In the absence of such software you might try and "rol...
null
CC BY-SA 3.0
null
2011-05-24T01:19:16.530
2011-05-24T01:52:15.880
2011-05-24T01:52:15.880
3382
3382
null
11172
1
null
null
4
2057
I'm trying to figure out how to calculate the standard error of a mean correlation coefficient. I have 6 bilateral correlation coefficients for 4 countries. I have transformed them using the Fisher z transformation in order to calculate their mean correlation coefficient. I'm trying to figure out what the standard erro...
How to calculate standard error of the mean of a set of correlation coefficients
CC BY-SA 3.0
null
2011-05-24T01:49:43.733
2011-05-24T10:38:39.853
2011-05-24T04:41:24.997
183
4724
[ "correlation", "confidence-interval" ]
11173
2
null
11165
6
null
One problematic feature is that there may be a continuum of optimal solutions. In most settings the quantiles are continuous functions of the parameters. When the distributions are continuous, almost surely there will be positive intervals between the data values. Suppose your objective function is optimized by a pa...
null
CC BY-SA 3.0
null
2011-05-24T02:13:03.453
2011-05-24T02:13:03.453
null
null
919
null
11174
2
null
11168
6
null
In terms of ANOVA small n (usually subscripted) could mean the sample size of a particular group while capital N might mean the total sample size. It depends on context.
null
CC BY-SA 3.0
null
2011-05-24T03:03:16.627
2011-05-24T03:03:16.627
null
null
2310
null
11175
1
null
null
11
16951
It is mentioned [here](http://en.wikipedia.org/wiki/Determining_the_number_of_clusters_in_a_data_set#The_Elbow_Method) that one of the methods to determine the optimal number of clusters in a data-set is the "elbow method". Here the percentage of variance is calculated as the ratio of the between-group variance to the ...
Elbow criteria to determine number of cluster
CC BY-SA 4.0
null
2011-05-24T04:43:59.053
2018-05-07T11:01:06.643
2018-05-07T11:01:06.643
207324
4290
[ "clustering", "k-means" ]
11176
1
442966
null
6
2407
[Heathcote, Brown & Mewhort](https://doi.org/10.3758%2FBF03196299?from=SL) (2002, [PDF](https://doi.org/10.3758%2FBF03196299?from=SL)) present Quantile Maximum Probability Estimation (originally termed Quantile Maximum Likelihood Estimation but later corrected) as a method of fitting distributional data, and find that ...
Can anyone explain quantile maximum probability estimation (QMPE)?
CC BY-SA 4.0
null
2011-05-24T05:22:53.910
2022-03-26T13:11:49.697
2022-03-26T13:11:49.697
11887
364
[ "distributions", "quantiles", "fitting" ]
11177
2
null
11176
1
null
Just a small suggestion: Have you checked out the [Newcastle Cognition Lab's page on QMPE](http://www.newcl.org/?q=node/10)? It has source code, a getting started guide, and a few other resources.
null
CC BY-SA 3.0
null
2011-05-24T06:22:09.193
2011-05-24T06:22:09.193
null
null
183
null
11178
1
null
null
0
12437
> Possible Duplicate: Logistic Regression in R (Odds Ratio) I need to do a logistic regression in R. My response variable is `surv=0`; `surv=1` and I have about 18 predictor variables. After reading my model, I got the table of Coefficients below and I need to go through some steps, which I am not familiar with, un...
How to interpret table of logistic regression coefficients using glm function in R
CC BY-SA 3.0
null
2011-05-24T07:17:41.610
2011-05-24T07:58:08.240
2017-04-13T12:44:52.660
-1
4263
[ "r", "logistic" ]
11179
2
null
11175
13
null
The idea underlying the k-means algorithm is to try to find clusters that minimize the within-cluster variance (or up to a constant the corresponding sum of squares or SS), which amounts to maximize the between-cluster SS because the total variance is fixed. As mentioned on the wiki, you can directly use the within SS ...
null
CC BY-SA 3.0
null
2011-05-24T07:53:03.603
2013-10-18T12:54:47.860
2013-10-18T12:54:47.860
264
930
null
11180
2
null
11178
4
null
Call ``` exp(your.model$coefficients) ``` where `your.model` is your R object with `glm` class. Similar question was ask previously; detailed answer is [here](https://stats.stackexchange.com/questions/8661/logistic-regression-in-r-odds-ratio).
null
CC BY-SA 3.0
null
2011-05-24T07:58:08.240
2011-05-24T07:58:08.240
2017-04-13T12:44:20.840
-1
609
null
11182
1
11183
null
95
98946
Does anybody know why offset in a Poisson regression is used? What do you achieve by this?
When to use an offset in a Poisson regression?
CC BY-SA 3.0
null
2011-05-24T08:12:01.783
2020-03-10T07:48:42.057
2013-10-04T02:25:03.373
7290
4496
[ "poisson-regression", "offset" ]
11183
2
null
11182
135
null
Here is an example of application. Poisson regression is typically used to model count data. But, sometimes, it is more relevant to model rates instead of counts. This is relevant when, e.g., individuals are not followed the same amount of time. For example, six cases over 1 year should not amount to the same as six ca...
null
CC BY-SA 3.0
null
2011-05-24T09:03:34.040
2011-05-24T09:03:34.040
null
null
3019
null
11184
2
null
11172
4
null
Just a few thoughts: - n is the sample size for each bivariate correlation, i.e. $n \neq 6$. - I am not sure if this makes sense but you could run a small meta-analysis (based on the Fisher's transformed correlations). This would give you a pooled standard error (see page 4). - Whatever you do, your effect sizes ...
null
CC BY-SA 3.0
null
2011-05-24T10:38:39.853
2011-05-24T10:38:39.853
null
null
307
null
11185
2
null
11149
0
null
Missing data is one big issue everywhere. I wish you'd answer the following question first. 1) what %age of the data is missing ? -- if its more than 10% of the data you'd not risk imputing it with mean. Because imputing such missing with mean is equivalent to telling the LR box that look ..this variable has mean most ...
null
CC BY-SA 3.0
null
2011-05-24T10:59:39.857
2011-05-24T10:59:39.857
null
null
1763
null
11186
1
null
null
3
573
Suppose we have time-series $ X_t $ and it has the following decomposition $$X_t=\mu + \varepsilon_t,$$ where $\mu$ is a mean and $\varepsilon_t$ - the error term. The model complexity will increase if we divide this time-series in to some segments,say $k$, and repeat above process. As the model complexity increases ...
Number of segments to divide a time-series
CC BY-SA 3.0
null
2011-05-24T11:08:06.330
2011-05-24T13:36:02.940
2011-05-24T13:36:02.940
3722
3722
[ "time-series", "regularization", "change-point" ]
11187
2
null
11186
2
null
Seems that you have a [change point problem](http://en.wikipedia.org/wiki/Structural_break). Also look at [change-point tag](https://stats.stackexchange.com/questions/tagged/change-point) for related questions in this site. For fitting these type of models R for example has the packages segmented and strucchange. The r...
null
CC BY-SA 3.0
null
2011-05-24T11:45:53.530
2011-05-24T11:45:53.530
2017-04-13T12:44:52.660
-1
2116
null
11189
1
null
null
4
5154
I received the following question by email: > I was wondering should I use tick the option for pairwise exclusion of missing data when I carry out regression analyses (or any analyses for that matter) rather than using [some other missing values replacement strategy]. Julie Pallant recommends pairwise excl...
When, if ever, to use pairwise deletion in multiple regression?
CC BY-SA 3.0
null
2011-05-24T14:02:48.443
2011-05-24T20:41:41.547
null
null
183
[ "regression", "missing-data" ]
11190
1
null
null
2
113
I am working on 4 different species of tomatoes. From the data I had, I looked at the occurrence of a particular "event" in certain intervals of their genome (this interval is identical in all 4 plants) and I have a file for each of the species with their probability of occurrence. The file looks something like this: >...
R: statistical test
CC BY-SA 3.0
null
2011-05-24T14:08:15.747
2018-10-01T22:52:30.817
2018-10-01T22:52:30.817
11887
4731
[ "r", "hypothesis-testing", "genetics" ]
11191
1
11197
null
7
3662
This question came up in a consulting context, and I was interested in your thoughts. ### Context One strategy for dealing with occasional missing data when calculating scale means looks like this in the language of SPSS: ``` COMPUTE depmean = mean.4(dep1, dep2, dep3, dep4, dep5, dep6). EXECUTE. ``` I.e., calculat...
Appropriateness of calculating scale means based on available non-missing responses (i.e., person-mean imputation)
CC BY-SA 3.0
0
2011-05-24T14:12:45.140
2011-05-25T13:31:15.813
2011-05-25T06:43:02.630
183
183
[ "scales", "missing-data" ]
11193
1
11224
null
18
54704
I have a data frame that contains some duplicate ids. I want to remove records with duplicate ids, keeping only the row with the maximum value. So for structured like this (other variables not shown): ``` id var_1 1 2 1 4 2 1 2 3 3 5 4 2 ``` I want to generate this: ``` id var_1 1 4 2 3 3 5 4 2 ``` I know about uniq...
How do I remove all but one specific duplicate record in an R data frame?
CC BY-SA 3.0
null
2011-05-24T14:23:45.017
2015-06-21T16:16:11.437
null
null
4110
[ "r" ]
11194
2
null
11193
7
null
You actualy want to select the maximum element from the elements with the same id. For that you can use `ddply` from package plyr: ``` > dt<-data.frame(id=c(1,1,2,2,3,4),var=c(2,4,1,3,4,2)) > ddply(dt,.(id),summarise,var_1=max(var)) id var_1 1 1 4 2 2 3 3 3 4 4 4 2 ``` `unique` and `duplicated` is for r...
null
CC BY-SA 3.0
null
2011-05-24T14:33:45.407
2011-05-24T19:43:38.453
2011-05-24T19:43:38.453
2116
2116
null
11195
2
null
10111
2
null
The eta-square ($\eta^2$) value you are describing is intended to be used as a measure of effect size in the observed data (i.e., your sample), as it amounts to quantify how much of the total variance can be explained by the factor considered in the analysis (that is what you wrote in fact, BSS/TSS). With more than one...
null
CC BY-SA 3.0
null
2011-05-24T14:34:40.337
2011-05-24T14:34:40.337
null
null
930
null
11196
2
null
9671
5
null
One generally consider that a "good partitioning" must satisfy one or more of the following criteria: (a) compactness (small within-cluster variation), connectedness (neighbouring data belong to the same cluster), and spatial separation (must be combined with other criteria like compactness or balance of cluster sizes)...
null
CC BY-SA 3.0
null
2011-05-24T15:05:40.330
2011-05-24T15:05:40.330
null
null
930
null
11197
2
null
11191
6
null
Some years ago, I thought it might be a good idea to apply person-mean imputation (person-mean substitution or case-mean imputation) in case of item non-response. Nowadays, however, it seems obvious to me that this approach assumes that all scale items share similar characteristics (similar variance, standard deviation...
null
CC BY-SA 3.0
null
2011-05-24T15:05:55.980
2011-05-24T15:20:22.497
2011-05-24T15:20:22.497
307
307
null
11198
2
null
11189
1
null
I think it depends on the situation at hand. If you're missing a couple values out of several hundred or thousand observations, sure, delete them. If one of your important variables is 10% missing, you may need to think up a strategy for dealing with this.
null
CC BY-SA 3.0
null
2011-05-24T15:25:33.190
2011-05-24T15:25:33.190
null
null
2817
null
11199
2
null
11193
6
null
The base-R solution would involve `split`, like this: ``` z<-data.frame(id=c(1,1,2,2,3,4),var=c(2,4,1,3,4,2)) do.call(rbind,lapply(split(z,z$id),function(chunk) chunk[which.max(chunk$var),])) ``` `split` splits the data frame into a list of chunks, on which we perform cutting to the single row with max value and then ...
null
CC BY-SA 3.0
null
2011-05-24T15:35:27.920
2011-05-24T15:35:27.920
null
null
null
null
11200
1
11201
null
6
1778
Today I opened two STATA windows and ran the following command in both: ``` set obs 100 gen x = rnormal() sort x ``` (the difference is that on the second window I generated a variable called y). Summing up: I asked STATA to give me 100 pseudo-random numbers taken from a standard normal distribution, then I sorted it...
Generating sorted pseudo-random numbers in Stata
CC BY-SA 3.0
null
2011-05-24T15:53:05.780
2011-05-24T16:07:17.587
2011-05-24T16:07:17.587
919
2929
[ "stata", "random-generation" ]
11201
2
null
11200
8
null
The help for `set_seed` states > The sequences these functions produce are determined by the seed, which is just a number and which is set to 123456789 every time Stata is launched. Stata's philosophy emphasizes reproducibility, so this consistency is not surprising. Of course you can set the seed yourself. See t...
null
CC BY-SA 3.0
null
2011-05-24T16:05:08.697
2011-05-24T16:05:08.697
null
null
919
null
11202
1
11205
null
1
6167
Hello I am trying to forecast using different exponential smoothing methods(Linear and Winter's). For the optimal parameters, I am getting negative values of the forecasats. I am assuming it means that the values will be zero, since it is a sales forecast. I wanted to know if negative values denote something wrong wi...
Can the forecasts using exponential smoothing be negative in value?
CC BY-SA 3.0
null
2011-05-24T16:39:54.080
2011-05-24T17:15:30.827
null
null
4445
[ "forecasting" ]
11203
1
11228
null
3
549
Hi I am using Linear and exponential forecasting models to do sales forecasting. In the model itself, we use the forecasts of period t to get next forecast and so on. While analyzing the accuracy of the forecast using Mean Absolute Percentage Error, I get good results. But when I compare the intermediate forecast value...
Should we compare the individual monthly forecasts with actual values?
CC BY-SA 3.0
null
2011-05-24T16:46:48.120
2016-04-17T12:00:00.623
2016-04-17T12:00:00.623
1352
4445
[ "time-series", "forecasting", "mape" ]
11205
2
null
11202
7
null
Holt's or Winter-Holt's exponential smoothing methods can give negative values for purely non-negative input values because of the trend factor which acts as a kind of inertia, which can drive the time series below zero. Normal exponential smoothing doesn't have this problem, it's always smoothing inwards, it never ove...
null
CC BY-SA 3.0
null
2011-05-24T17:14:00.257
2011-05-24T17:14:00.257
null
null
4360
null
11206
2
null
11202
0
null
You can get negative values for certain kinds of models. You might want to explore more complicated models than simple exponential smoothing.
null
CC BY-SA 3.0
null
2011-05-24T17:15:30.827
2011-05-24T17:15:30.827
null
null
2817
null
11207
2
null
11203
6
null
Yes, you should absolutely compare your predicted values with actual values. This is good practice with any kind of statistical modeling, not just time series analysis. If certain months are consistently off, you should use a seasonal model.
null
CC BY-SA 3.0
null
2011-05-24T17:20:16.913
2011-05-24T17:20:16.913
null
null
2817
null
11208
1
null
null
8
661
Problem is that government wants to close electronic roulette and they claim that roulette failed at statistical test. Sorry for my language but this is translated from Slovenian law as good as possible Official (by law) requirements are: - frequency of each event should not differ from expected frequency by more than...
Statistics for gambling machine validation
CC BY-SA 3.0
null
2011-05-24T18:19:51.373
2012-05-04T02:20:36.217
2011-05-25T06:18:33.933
4738
4738
[ "correlation", "statistical-significance", "chi-squared-test" ]
11209
1
11230
null
8
2935
I have written a 3-way ANOVA in C++. I have 3 factors, lets say A, B and C and my aim is to check the strength of all possible interactions and main effects. The result of my code is the same as in MATLAB when I use type-I sum of squares. But when I change the data so that the number of replicates/samples is high in ...
The effect of the number of samples in different cells on the results of ANOVA
CC BY-SA 3.0
null
2011-05-24T19:12:20.207
2016-04-29T23:42:42.427
2016-04-29T23:42:42.427
28666
2885
[ "anova", "matlab", "sums-of-squares" ]
11210
1
11217
null
72
25352
I appreciate the usefulness of the bootstrap in obtaining uncertainty estimates, but one thing that's always bothered me about it is that the distribution corresponding to those estimates is the distribution defined by the sample. In general, it seems like a bad idea to believe that our sample frequencies look exactly ...
Assumptions regarding bootstrap estimates of uncertainty
CC BY-SA 3.0
null
2011-05-24T19:53:26.753
2011-05-24T23:06:16.357
2011-05-24T22:34:07.543
null
4733
[ "bootstrap", "uncertainty" ]
11211
2
null
9867
2
null
I found this paper with Google but I cannot access it, so I don't really know what it is about really: > Berry KJ, Johnston JE, Mielke PW Jr. An alternative measure of effect size for Cochran's Q test for related proportions. Percept Mot Skills. 2007 Jun;104(3 Pt 2):1236-42. I initially thought that using pa...
null
CC BY-SA 3.0
null
2011-05-24T20:07:50.003
2011-05-24T20:07:50.003
null
null
930
null
11212
2
null
11189
3
null
Pairwise is a dangerous method in this case, IMO. If you delete pairwise then you'll end up with different numbers of observations contributing to different parts of your model, which can make interpretation difficult. That being said, casewise deletion tends to discard lots and lots of information, so I suppose it dep...
null
CC BY-SA 3.0
null
2011-05-24T20:41:41.547
2011-05-24T20:41:41.547
null
null
656
null
11213
2
null
11210
10
null
The main trick (and sting) of bootstrapping is that it is an asymptotic theory: if you have an infinite sample to start with, the empirical distribution is going to be so close to the actual distribution that the difference is negligible. Unfortunately, bootstrapping is often applied in small sample sizes. The common f...
null
CC BY-SA 3.0
null
2011-05-24T21:01:51.687
2011-05-24T21:01:51.687
null
null
4257
null
11214
2
null
11157
0
null
Maybe use an adaptation of [J-Charts](http://www.investopedia.com/articles/technical/04/060204.asp) and/or [Market Profile charts](http://daytrading.about.com/od/indicators/a/MarketProfile.htm), but instead of plotting price (y-axis) vs volume (x-axis) you could plot time of trade (y-axis) vs no. of trades (x-axis) and...
null
CC BY-SA 3.0
null
2011-05-24T21:34:01.523
2011-05-24T21:34:01.523
null
null
226
null
11215
2
null
11210
5
null
I would argue not from the perspective of "asymptotically, the empirical distribution will be close to the actual distribution" (which, of course, is very true), but from a "long run perspective". In other words, in any particular case, the empirical distribution derived by bootstrapping will be off (sometimes shifted ...
null
CC BY-SA 3.0
null
2011-05-24T21:55:49.077
2011-05-24T22:30:27.953
2011-05-24T22:30:27.953
1934
1934
null
11216
2
null
11193
5
null
I prefer using `ave` ``` dt<-data.frame(id=c(1,1,2,2,3,4),var=c(2,4,3,3,4,2)) ## use unique if you want to exclude duplicate maxima unique(subset(dt, var==ave(var, id, FUN=max))) ```
null
CC BY-SA 3.0
null
2011-05-24T22:39:14.203
2011-05-24T22:39:14.203
null
null
375
null
11217
2
null
11210
64
null
There are several ways that one can conceivably apply the bootstrap. The two most basic approaches are what are deemed the "nonparametric" and "parametric" bootstrap. The second one assumes that the model you're using is (essentially) correct. Let's focus on the first one. We'll assume that you have a random sample $X_...
null
CC BY-SA 3.0
null
2011-05-24T22:48:41.360
2011-05-24T23:06:16.357
2011-05-24T23:06:16.357
2970
2970
null
11218
2
null
11210
12
null
Here is a different approach to thinking about it: Start with the theory where we know the true distribution, we can discover properties of sample statistics by simulating from the true distribution. This is how Gosset developed the t-distribution and t-test, by sampling from known normals and computing the statistic....
null
CC BY-SA 3.0
null
2011-05-24T23:00:19.693
2011-05-24T23:00:19.693
null
null
4505
null
11219
1
null
null
8
39091
I have been reading about appropriate measures of central tendency for ordinal level data. So far I have learned that the median and mode can be used but that the latter can only be used in some cases. Some sources state that the median can only be used with Likert questions when there is an odd number of scores. It i...
Median value on ordinal scales
CC BY-SA 3.0
null
2011-05-25T00:29:48.363
2012-09-04T18:44:50.493
2011-05-25T03:22:21.527
4498
4498
[ "median" ]
11220
1
null
null
8
2031
I have data from a load test of a web site with several thousand data points spread out over roughly 30 minutes (the values are the response time of the site in milliseconds). The values are spread out among the 30 minute range, but not at a constant rate (i.e. there may be a few milliseconds between some points, other...
Preferred methods for graphing time-series data to present "averages"?
CC BY-SA 3.0
null
2011-05-25T00:56:40.383
2011-05-25T16:02:58.067
2011-05-25T13:24:19.233
4739
4739
[ "time-series", "data-visualization" ]
11221
2
null
11145
2
null
As far as your statistical test, it might be a choice between 1) ancova with pretest weight as the covariate and 2) anova with change scores as the outcome. You'd use ancova if you believed posttest weight would naturally be different from pretest weight even without the treatment, and that posttest weight would be a ...
null
CC BY-SA 3.0
null
2011-05-25T01:35:52.533
2011-05-25T01:35:52.533
null
null
2669
null
11222
2
null
11191
4
null
Person-mean imputation with an minimum-item threshold is a simple strategy for retaining scale scores where participants miss the occasional response. ### Some general principles - If missing data is minimal (e.g., less than 5% of participants are missing 1 item on a 10 item scale), the method of dealing with missi...
null
CC BY-SA 3.0
null
2011-05-25T01:49:14.433
2011-05-25T02:07:08.603
2020-06-11T14:32:37.003
-1
183
null
11223
2
null
11219
3
null
No, the median is the value where half the data is less than or equal to that value and half the data is greater than or equal to that value. So if your ordinal scale had 100 respondents then find the value that has at least 50 less or equal and 50 greater than or equal. It would only be 3 if half the responses were...
null
CC BY-SA 3.0
null
2011-05-25T01:57:05.730
2011-05-25T01:57:05.730
null
null
4505
null
11224
2
null
11193
25
null
One way is to reverse-sort the data and use `duplicated` to drop all the duplicates. For me, this method is conceptually simpler than those that use apply. I think it should be very fast as well. ``` # Some data to start with: z <- data.frame(id=c(1,1,2,2,3,4),var=c(2,4,1,3,5,2)) # id var # 1 2 # 1 4 # 2 1 # ...
null
CC BY-SA 3.0
null
2011-05-25T02:59:08.417
2011-05-25T19:40:10.713
2011-05-25T19:40:10.713
4740
4740
null
11225
1
null
null
3
495
I need to calculate an exponential moving average for a series of data. The intended sampling interval is fixed (say 1s) but the data stream has varying intervals (data intervals vary from 0.01s to 10s or so). The data is somewhat noisy (a random data sample would virtually never be on the average). My impression is th...
Exponential moving average with sub-interval relevance / varying timeframe
CC BY-SA 3.0
null
2011-05-25T04:43:24.693
2011-05-25T06:55:33.350
2011-05-25T06:55:33.350
2116
4741
[ "time-series", "sampling", "exponential-smoothing" ]
11226
2
null
11219
7
null
### Definitional issues: - The median is the middle value of the data; it is not by definition the middle value of the scale. - When the sample size is even, then the median is the mean of the values either side of middle most point after rank ordering all values (see wikipedia description). ### When to use med...
null
CC BY-SA 3.0
null
2011-05-25T05:41:03.343
2011-05-25T05:41:03.343
null
null
183
null
11227
1
null
null
4
206
Say I have 2 sets, $A$ and $B$ with $n_{A}$ and $n_{B}$ elements respectively, which I assume is known. I would like to estimate $| A \bigcup B |$ using samples of $\tilde{A} \subset A$ and $ \tilde{B} \subset B$. That is if $\tilde{A}$'s elements are uniformly sampled from $A$, and likewise for $\tilde{B}$, will $ ...
Bias in sampling for set intersections
CC BY-SA 3.0
null
2011-05-25T05:52:01.007
2011-10-24T13:13:28.450
2011-05-25T08:40:23.070
null
4742
[ "sampling", "unbiased-estimator", "bias" ]
11228
2
null
11203
5
null
MAPE is known to have problems, when the time series have values close to zero. Check whether this is the case, since high MAPEs may be the problem of time series values close to zero, not of model accuracy. For a discussion on accuracy measures I recommend [this article](http://www.buseco.monash.edu.au/ebs/pubs/wpaper...
null
CC BY-SA 3.0
null
2011-05-25T06:52:17.017
2011-05-25T07:54:30.247
2011-05-25T07:54:30.247
2116
2116
null
11229
2
null
11220
6
null
I suggest adding an example or two of what you are presently doing so we can better see what you are dealing with. What you are concerned with is an important issue: how do you convey the "overall" pattern in the time series data while also not misleading viewers by showing just average values? One way I have dealt wit...
null
CC BY-SA 3.0
null
2011-05-25T07:22:42.653
2011-05-25T15:50:44.233
2011-05-25T15:50:44.233
1080
1080
null
11230
2
null
11209
12
null
I don't have Matlab but from what I've read in the on-line help for [N-way analysis of variance](http://www.mathworks.com/help/toolbox/stats/anovan.html) it's not clear to me whether Matlab would automatically adapt the `type` (1--3) depending on your design. My best guess is that yes you got different results because ...
null
CC BY-SA 3.0
null
2011-05-25T07:53:11.060
2011-05-25T08:56:55.523
2011-05-25T08:56:55.523
930
930
null
11231
1
null
null
4
1887
I am investigating many different kinds of PCA versions, I am trying to find out whether PCR will apply to my analysis thus the question on use of PCR.
Applications of principal component analysis versus principal component regression?
CC BY-SA 3.0
null
2011-05-25T09:46:14.150
2019-03-28T11:34:44.353
2019-03-28T11:34:44.353
128677
4747
[ "regression", "pca", "dimensionality-reduction" ]
11232
1
null
null
4
1164
I am trying to compare the difference between two means with two pairwise samples. Unfortunately, my data are very far of being normal. What test would you recommend to use in this situation? Should I revert to a nonparametric test?
Testing difference between two means with pairwise data and absence of normality
CC BY-SA 3.0
null
2011-05-25T11:30:44.473
2011-05-25T13:44:31.233
2011-05-25T11:40:42.647
2116
6245
[ "hypothesis-testing" ]
11233
1
28627
null
6
10138
Assume, I have a data set, which is similar to ``` require(nlme) ?Orthodont ``` and my model is ``` fm2 <- lme(distance ~ age + Sex, data = Orthodont, random = ~ 1) ``` How can I use the model fit object `fm2` to generate several datasets, which have sample sizes 300, 400, 500, ... ? I read this [great answer on...
How to simulate data based on a linear mixed model fit object in R?
CC BY-SA 3.0
null
2011-05-25T11:51:00.517
2013-12-20T21:23:36.717
2012-06-19T12:11:28.537
183
4559
[ "r", "mixed-model", "simulation" ]
11234
2
null
11232
3
null
Sounds like a job for the [paired Wilcoxon test](http://en.wikipedia.org/wiki/Wilcoxon_signed-rank_test). Note that this method compares the medians of the two samples, not their means. In any case, the mean is often not a good estimator when the distributions are not normally distributed, as it is easily biased by ex...
null
CC BY-SA 3.0
null
2011-05-25T12:15:55.230
2011-05-25T12:15:55.230
null
null
656
null
11235
2
null
11232
5
null
A paired t-test assumes that the differences are normal: the original values could have any distribution. More precisely, just like with a t-test, the differences don't even have to be normal, just the sampling distribution of the mean. This usually means that with a large enough sample you can use a t-test even withou...
null
CC BY-SA 3.0
null
2011-05-25T13:16:56.460
2011-05-25T13:16:56.460
null
null
279
null
11236
1
11291
null
5
764
I've been using R's `lm` to do some linear regression, but decided to give `MCMCregress` a try to get a feel for how it works. As expected, I got basically the same coefficients, but the extra `sigma2` value puzzles me. When I do a `qqmath` plot of the coefficients, I get the following graph, and I'm puzzled by the sig...
QQ plot of sigma2 from an MCMC regression?
CC BY-SA 3.0
null
2011-05-25T13:29:57.467
2014-11-20T09:49:04.697
2020-06-11T14:32:37.003
-1
1764
[ "r", "regression", "markov-chain-montecarlo", "qq-plot" ]
11237
2
null
11191
1
null
one more piece of advice: make sure the full 6-item composite scale is reliable & that none of the included items reduces scale reliability. If those conditions aren't satisfied, you shouldn't be averaging them even in cases where data are complete. If these conditions are satisfied, then using a subset of items for ca...
null
CC BY-SA 3.0
null
2011-05-25T13:31:15.813
2011-05-25T13:31:15.813
null
null
11954
null
11238
2
null
11232
4
null
Your description of your design is not too precise as it allows two interpretations. First, it is possible that you have a 2 (between) x 2 (within) design (i.e., two groups with two pairwise samples). Second, it is possible that you have a simple design with one group which was measured two times. Only in the second ca...
null
CC BY-SA 3.0
null
2011-05-25T13:44:31.233
2011-05-25T13:44:31.233
2017-04-13T12:44:39.283
-1
442
null
11239
2
null
11193
1
null
Yet another way to do this with base: ``` dt<-data.frame(id=c(1,1,2,2,3,4),var=c(2,4,1,3,4,2)) data.frame(id=sort(unique(dt$var)),max=tapply(dt$var,dt$id,max)) id max 1 1 4 2 2 3 3 3 4 4 4 2 ``` I prefer mpiktas ' plyr solution though.
null
CC BY-SA 3.0
null
2011-05-25T14:34:17.263
2011-05-25T14:34:17.263
null
null
3094
null
11240
2
null
11220
3
null
Have you considered a scatterplot of the data themselves? [That's an approach I really like](https://stats.stackexchange.com/questions/173/time-series-for-count-data-with-counts-20). It lets the viewer make their own conclusions about the presence and significance of trends, and it doesn't conceal variability or outl...
null
CC BY-SA 3.0
null
2011-05-25T16:02:58.067
2011-05-25T16:02:58.067
2017-04-13T12:44:45.640
-1
71
null
11242
1
null
null
1
199
This is a question strongly related to Cauchy "characters". I'm constructing a 4 question canvassing questionnaire that will tell the likely voter being contacted which of the presidential candidates most closely matches them. The advantage of this approach for a dark horse presidential candidate is obvious, presuming...
Optimal blind poll construction
CC BY-SA 3.0
null
2011-05-25T14:45:39.393
2011-05-29T18:01:20.593
2011-05-25T19:38:19.693
null
4753
[ "survey", "experiment-design" ]
11243
1
null
null
2
161
Context I have a regression framework and two sets of data. Using leave-one-out cross-validation, the first set gives very good performance and the second set gives rather poor performance. I need to explain the reason for this difference in performance. Having looked at the data, it is clear that the first set is a mu...
Explaining regression performance differences
CC BY-SA 3.0
null
2011-05-25T17:11:02.417
2011-05-25T17:11:02.417
null
null
3052
[ "regression", "cross-validation", "ridge-regression" ]
11246
1
11265
null
4
301
The last line is an example of what I'm looking for: ``` data(airquality) attach(airquality) lm1 <- lm(Ozone ~ Solar.R+Wind) lm2 <- lm(Ozone ~ Solar.R+Wind+Temp) anova(lm1 , lm2) require(rpart) rp1 <- rpart(Ozone ~ Solar.R+Wind) rp2 <- rpart(Ozone ~ Solar.R+Wind+Temp) anova(rp1 , rp2) # this doesn't exist - is there ...
Is there an ANOVA table generalization for two nested CART models?
CC BY-SA 3.0
null
2011-05-25T18:44:42.107
2011-05-26T07:49:23.200
2011-05-25T19:42:03.047
null
253
[ "anova", "cart" ]
11247
2
null
11242
1
null
EDIT in response to last comments. Here is my suggestion for how to run the contest. - The contest holder should decide on a list of "test questions". The 4-item questionnaires will be scored on how well they allow the guesser to guess the voter's responses to these "test questions". These test questions will be mad...
null
CC BY-SA 3.0
null
2011-05-25T18:46:50.477
2011-05-25T23:37:05.250
2011-05-25T23:37:05.250
3567
3567
null
11248
1
11343
null
6
940
I'm using Gibbs sampling to learn the distributions of coefficients for a multinomial logistic regression model. At the end, I end up using the mean values of distributions of coefficients, and the resulting logistic regression is used as a classifier. I'm trying to find out advantages of having probability distributi...
How can I use credibility intervals in Bayesian logistic regression?
CC BY-SA 3.0
null
2011-05-25T21:05:29.583
2011-06-29T12:32:46.913
2011-05-29T11:33:36.090
3280
3280
[ "logistic", "bayesian", "credible-interval" ]
11249
1
null
null
5
6600
I have a large data set which is in .dbf format right now and what I would like to do is be able to manipulate it easily in Excel and do something like subtotal and calculate stdev and ratios. Details of the data set; This data set contains shopper information. It has 1.2 million rows and 20 columns where the rows are ...
What would be a good way to work with a large data set in Excel?
CC BY-SA 3.0
null
2011-05-25T21:32:13.980
2014-09-16T15:17:59.700
2011-05-26T06:08:23.393
2116
4755
[ "excel", "large-data" ]
11250
2
null
11231
4
null
When doing a PCA, you are effectively choosing a new set of 'variables' that you know for all your observations. Their main property is that they maximize the variance-content in one dimension (first PC has the most,...), while being linear combinations of the original covariates. This is the way it works like a dimens...
null
CC BY-SA 3.0
null
2011-05-25T21:45:02.643
2011-05-25T21:45:02.643
null
null
4257
null
11251
2
null
11249
15
null
If you feel you may start more of such very large Excel type projects in the future, then you should consider installing and spending 10 hours learning the basics of R (free), which will let you do what you mention in your question, in a much more efficient manner than Excel. [R for Beginners PDF](http://cran.r-project...
null
CC BY-SA 3.0
null
2011-05-25T22:39:07.793
2011-05-26T17:33:25.187
2011-05-26T17:33:25.187
4329
4329
null
11252
1
11503
null
4
4025
I received a question today that I wasn't exactly sure how to answer. I have built a predictive model using a fairly basic logistic regression that works pretty well and fits our business needs. Recently, we purchased a CRM tool that allows us to build "probability" scores, but only allows the end users to give inte...
Weight variables for predictive model
CC BY-SA 3.0
null
2011-05-25T23:57:37.597
2011-08-02T00:36:09.090
2011-05-26T09:21:28.103
null
569
[ "logistic", "predictive-models", "validation" ]
11253
1
11278
null
6
170
If I take a set of measurements and test correlation of variable $A$ vs variable $B$ and get a significant correlation, that makes sense to me. But what if further analysis reveals that of those factors, there is only a significant positive correlation within one group, and that group is over-represented. Is the glob...
Factor dependent correlation
CC BY-SA 3.0
null
2011-05-26T02:40:02.887
2011-05-27T06:51:02.347
2011-05-27T06:51:02.347
2116
1327
[ "correlation" ]
11254
2
null
11246
4
null
Recursive partitioning does not provide such inferential statistics. It is a highly exploratory method that would require an enormous multiplicity adjustment should you compute regression and error sum of squares from the result. Better would be to do formal but flexible modeling of the two predictors, e.g., using re...
null
CC BY-SA 3.0
null
2011-05-26T03:12:00.933
2011-05-26T03:12:00.933
null
null
4253
null
11255
1
null
null
23
1602
I've noticed this issue coming up a lot in statistical consulting settings and i was keen to get your thoughts. ### Context I often speak to research students that have conducted a study approximately as follows: - Observational study - Sample size might be 100, 200, 300, etc. - Multiple psychological scales hav...
Whether to use structural equation modelling to analyse observational studies in psychology
CC BY-SA 3.0
null
2011-05-26T03:20:04.987
2015-12-18T14:02:37.680
2011-05-26T08:12:19.967
183
183
[ "scales", "causality", "structural-equation-modeling", "observational-study" ]