Type I Error Inflation of the Separate-Variances Welch t test with Very Small Sample Sizes when Assumptions Are Met

被引:8
作者
Adusah, Albert K. [1 ]
Brooks, Gordon P. [1 ]
机构
[1] Ohio Univ, Educ Res & Evaluat, Athens, OH 45701 USA
关键词
Small sample sizes; type I error inflation; Welch t test; Student t test;
D O I
10.22237/jmasm/1304224320
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
This Monte Carlo study shows that the separate-variances Welch t test has inflated Type I error rates at very small sample sizes, especially when sample sizes are very small in one group and larger in the second group - even when all assumptions for the statistical test are met.
引用
收藏
页码:362 / 372
页数:11
相关论文
共 13 条
[1]   ROBUSTNESS [J].
BRADLEY, JV .
BRITISH JOURNAL OF MATHEMATICAL & STATISTICAL PSYCHOLOGY, 1978, 31 (NOV) :144-152
[2]  
Brooks G. P., 2004, M MID W ED RES ASS C
[3]  
Brooks G. P., 2005, MC4G MONTE CARLO ANA
[4]  
Brooks G. P., 2004, M AM ED RES ASS NEW
[5]   COMPARISONS OF THE MANN-WHITNEY, STUDENTS T-TEST, AND ALTERNATE T-TEST FOR MEANS OF NORMAL-DISTRIBUTIONS [J].
GIBBONS, JD ;
CHAKRABORTI, S .
JOURNAL OF EXPERIMENTAL EDUCATION, 1991, 59 (03) :258-267
[6]  
GLASS GV, 1972, REV EDUC RES, V42, P237, DOI 10.3102/00346543042003237
[7]  
Hinkle D. E., 2003, APPL STAT BEHAV SCI
[8]  
Mickelson W. T., 2001, ANN M MIDW ED RES AS
[9]   Do some interventions work better than others? - A review of comparative social work experiments [J].
Reid, WJ ;
Kenaley, BD ;
Colvin, J .
SOCIAL WORK RESEARCH, 2004, 28 (02) :71-81
[10]   Effects of behavioral marital therapy: A meta-analysis of randomized controlled trials [J].
Shadish, WR ;
Baldwin, SA .
JOURNAL OF CONSULTING AND CLINICAL PSYCHOLOGY, 2005, 73 (01) :6-14