EFFECT OF NONINDEPENDENCE OF SAMPLE OBSERVATIONS ON SOME PARAMETRIC AND NONPARAMETRIC STATISTICAL TESTS

被引：18

作者：

ZIMMERMAN, DW

WILLIAMS, RH

ZUMBO, BD

机构：

[1] CARLETON UNIV,DEPT PSYCHOL,OTTAWA K1S 5B6,ONTARIO,CANADA

[2] UNIV MIAMI,SCH EDUC,DEPT EDUC & PSYCHOL STUDIES,CORAL GABLES,FL 33124

[3] UNIV OTTAWA,FAC EDUC,OTTAWA K1N 6N5,ONTARIO,CANADA

来源：

COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION | 1993年 / 22卷 / 03期

关键词：

NONINDEPENDENCE; STUDENT T-TEST; MANN-WHITNEY-WILCOXON TEST; NONPARAMETRIC STATISTICS; EXCHANGEABLE RANDOM VARIABLES; RANK TRANSFORMATION;

D O I：

10.1080/03610919308813123

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

The probabilities of Type I and Type II errors of the Student t test, as well as the Mann-Whitney-Wilcoxon test, are grossly inflated or deflated by violation of within-group and between-group independence of sample observations. A modified t formula with two correlation terms eliminated these changes for samples from normal distributions. The same formula applied to ranks replacing the initial scores eliminated changes resulting from both non-normality and nonindependence for various heavy-tailed distributions.

引用

页码：779 / 789

页数：11

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