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Zimmerman, Donald W. – Journal of Experimental Education, 1986
A computer program randomly sampled ordered pairs of scores from known populations that departed from bivariate normal form and calculated correlation coefficients from sample values. Hypotheses were tested (1) that population correlations are zero using the t statistic; and (2) that population correlations have non-zero values using the r to z…
Descriptors: Correlation, Hypothesis Testing, Sampling, Statistical Distributions
Peer reviewed Peer reviewed
Zimmerman, Donald W.; And Others – Journal of Experimental Education, 1992
D. W. Zimmerman argues that the interpretation by J. D. Gibbons and S. Chakraborti of recent simulation results and their recommendations are misleading and suggests use of an alternate test when homogeneity of variance and normality are violated. Gibbons and Chakraborti review their differences with Zimmerman's position. (SLD)
Descriptors: Computer Simulation, Research Methodology, Research Reports, Sample Size
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Olejnik, Stephen – Journal of Experimental Education, 1987
This study examined the sampling distribution of the analysis of variance F ratio in the two sample cases when it followed a preliminary test for variance equality. When the population variances were equal, the sampling distribution approximated the theoretical F distribution quite well, but not when population variances differed. (JAZ)
Descriptors: Analysis of Variance, Comparative Analysis, Computer Simulation, Sample Size
Peer reviewed Peer reviewed
Zimmerman, Donald W. – Journal of Experimental Education, 1987
A program obtained random samples from known populations, some of which violated the homogeneity assumption. Student t tests and Mann-Whitney U Tests were performed on the sample value. Where the t test led to incorrect decisions, the use of Mann-Whitney U test in its place led to poorer results. (JAZ)
Descriptors: Computer Software, Error of Measurement, Monte Carlo Methods, Nonparametric Statistics