text stringlengths 0 6.73k |
|---|
Retrospective study, 488 type Il error and, 433, 440-441, likelihood ratio and, 475 |
Ryan-Joiner test, 741 445, 452-454, 489, 505, 523 observed, 458 |
variance and, 303 Sign interval, 784 |
s z test and, 440-441, 452-453 Sign test, 784 |
Sample Sample space Simple events, 52, 62, 66 |
convenience, 7 definition of, 51 Simple hypothesis, 469, 732 |
definition of, 2 probability of, 56-63 Simple random sample |
outliers in, 38-40 Venn diagrams for, 54-55 definition of, 7, 287 |
simple random, 7, 287 Sample standard deviation independence in, 287 |
size of (see Sample size) in bootstrap procedure, 413, 537 sample size in, 287 |
stratified, 7 confidence bounds and, 398 Simulation experiment, 288, |
Sample coefficient of variation, 45 confidence intervals and, 392, 291-294, 417, 463 |
Sample correlation coefficient 403 Skewed data |
in linear regression, 662-664, definition of, 33 coefficient of skewness, 121, 178 |
669, 719 as estimator, 340, 379 definition of, 19 |
vs. population correlation expected value of, 340, 379 in histograms, 19, 413 |
coefficient, 666, 669-671 independence of, 318-319 mean vs. median in, 28 |
properties of, 664-665 mle and, 357 measure of, 121 |
strength of relationship, 665 population standard deviation probability plot of, 216, 411-413 |
Sample mean and, 286, 340, 379 Slope, 617-618, 622, 626, 642, 644 |
definition of, 25 sample mean and, 34, 318-319 Slope coefficient |
population mean and, 296-304 sampling distribution of, confidence interval for, 644 |
sampling distribution of, 296-304 288-289, 320, 340, 379, 482 definition of, 617-618 |
Sample median variance of, 482 hypothesis tests for, 648 |
definition of, 27 Sample total, 296, 306, 560 least squares estimate of, 626 |
in order statistics, 271-272 Sample variance in logistic regression model, 622 |
vs. population median, 417 in ANOVA, 555-556 Standard deviation |
Sample moments, 350-351 calculation of, 35 normal distribution and, 179 |
Sample percentiles, 210-211 definition of, 33 of point estimator, 344-346 |
Sample proportion, 30, 335-336, distribution of, 287-289, 320 population, 117, 173 |
338, 391-400, 450-455, expected value of, 339 of a random variable, 117, 173 |
519-526 population variance and, 35, 317, sample, 33 |
Sample size 322-323, 339 z table and, 186 |
in ANOVA, 574-576 Sampling distribution Standard error, 344-346 |
asymptotic relative efficiency bootstrap procedure and, 413, Standardized variable, 185 |
and, 764, 769 532, 758 Standard normal distribution |
bound on the error of estimation definition of, 284, 287 Cauchy distribution and, 271 |
and, 388 derivation of, 288-291 chi-squared distribution and, |
Central Limit Theorem and, 302 of intercept coefficient, 719 316, 325 |
confidence intervals and, of mean, 288-290, 297-299 critical values of, 184 |
387-388, 394, 396, 403, 495 permutation tests and, 758 definition of, 181 |
definition of, 9 simulation experiments for, density curve properties for, |
in finite population correction 291-294 181-184 |
factor, 140 of slope coefficient, 640-649 F distribution and, 323, 325 |
for F test, 574-576 Scale parameter, 195, 203-204, percentiles of, 182-184 |
for Levene test, 562-563 217-218, 365 1 distribution and, 320, 325 |
mle and, 357-358, 375 Scatter plot, 615-617 Standard normal random variable, |
noncentrality parameter and, Scheffé method, 610 181, 325 |
574-576, 582 Score function, 373-377 Statistic, 286 |
--- Trang 857 --- |
844 index |
Statistical hypothesis, 426 Trimming proportion, 29, 343 U |
Stem-and-leaf display, 10-12 True regression function, 615 Unbiased estimator, 337-344 |
Step function, 106 True regression line, 618-620, 625, minimum variance, 340-343 |
Stratified samples, 7 640-641 Uncorrelated random variables, |
Studentized range distribution, 565 test 251, 307 |
Student r distribution, 320-323 vs. F test, 576 Uniform distribution |
Summary statistics, 627, 630, heavy tails and, 764, 769, 774 beta distribution and, 778 |
645, 671 likelihood ratio and, 475, 476 Box-Muller transformation |
Sum of squares in linear regression, 648 and, 271 |
error, 557, 631, 708 in multiple regression, definition of, 161 |
interaction, 599 688-690, 712 discrete, 120 |
lack of fit, 681 one-sample, 443-445, 461, transformation and, 223-224 |
pure error, 681 474-476, 511, 769 Uniformly most powerful test, |
regression, 636, 699, 708 paired, 511 4T3-AT4 |
total, 559-560, 587, 591, 645, pooled, 504-505, 576 Unimodal histogram, 18-19 |
686 P-value for, 461-462 Union-intersection test, 551 |
treatment, 557-560 two-sample, 499-504, 576,515 Union of events, 53 |
Symmetric distribution, 19, type I error and, 443-445, 501 Univariate data, 3 |
121, 168 type Il error and, 445~447, 505 |
vs. Wilcoxon rank-sum v |
T test, 769 Variable(s) |
Taylor series, 174, 579 vs. Wilcoxon signed-rank test, covariate, 699 |
t confidence interval 763-764 in a data set, 10 |
heavy tails and, 764, 769,774 Tukey's procedure, 565-570, 578, definition of, 3 |
in linear regression, 643, 656 589-590, 603 dependent, 614 |
in multiple regression, 689,712 Two one-sided tests, 551 dummy, 696-699 |
one-sample, 403-404 Type I error explanatory, 614 |
paired, 513-515 definition of, 429 independent, 614 |
pooled, 505 Neyman-Pearson theorem indicator, 696-699 |
two-sample, 500, 515 and, 470 predictor, 614 |
1 distribution power function of the test random, 96-231 |
central, 423 and, 473 response, 614 |
chi-squared distribution and, P-value and, 457-458 Variance |
320, 325, 500, 504 sample size and, 441 conditional, 255-257 |
critical values of, 322, 402, significance level and, 433 of a function, 118-119, |
444, 461 vs. type IT error, 433 174-175, 328 |
definition of, 320 Type I error ofa linear function, 118-120, 307 |
degrees of freedom in, definition of, 429 population, 34-35, 117, 173 |
320-321, 401-402 vs. type I error, 433 precision and, 781 |
density curve properties for, Type II error probability of a random variable, 117, 173 |
322, 402 in ANOVA, 574-576, 596 sample, 33-37 |
F distribution and, 325, 576 degrees of freedom and, 516 Venn diagram, 54-55, 62, 75, 76 |
noncentral, 423 for F test, 574-576, 596 |
standard normal distribution in linear regression, 653 w |
and, 320, 322, 403 Neyman-Pearson theorem Weibull distribution |
Student, 320-323 and, 469-472 basics of, 202-205 |
Test statistic, 428 power of the test and, 446, 473 chi-squared distribution and, 231 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.