A Monte Carlo Study - Two Nonparametric Statistics with Comparisons of Type I Error Rates and Power

ISBN-13: 9783639037081 / Angielski / Miękka / 2008 / 164 str.

Shing-Huei Lee; Janice Williams Miller

Opis

The Mann-Whitney (MW) test and the Kolmogrov-Smirnov two sample test (KS-2) are nonparametric statistical tests used to detect whether there is a general difference between two samples when the two underlying population distributions are distribution-free. The focus of this study was to examine and compare Type I error rates and statistical power between the MW and the KS-2 tests when the two samples had different population variances or various degrees of kurtosis and skewness. This study also compared Type I error rates and power with applicable different sizes between two samples. SAS program was used for simulations. Findings and conclusions from the simulations for Type I error rates and statistical power between the MW and the KS-2 tests were discussed. Theoretical and practical implications, limitations of the study, are discussed, as well as re­commendations for future research.

O autorze

Lee, Shing-Huei Shing-Huei (C.) Lee, PhD in Educational Psychology (Option: Research and Evaluation & minor: Statistics) at Oklahoma State University in 2007. Research Analyst at National-Louis University, Illinois. Janice Williams Miller, PhD in research methods and evaluation at UCLA in 1988. Professor at Oklahoma State University, Oklahoma. Williams Miller, Janice Shing-Huei (C.) Lee, PhD in Educational Psychology (Option: Research and Evaluation & minor: Statistics) at Oklahoma State University in 2007. Research Analyst at National-Louis University, Illinois. Janice Williams Miller, PhD in research methods and evaluation at UCLA in 1988. Professor at Oklahoma State University, Oklahoma.