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Zimmerman, Donald W. – Psicologica: International Journal of Methodology and Experimental Psychology, 2012
In order to circumvent the influence of correlation in paired-samples and repeated measures experimental designs, researchers typically perform a one-sample Student "t" test on difference scores. That procedure entails some loss of power, because it employs N - 1 degrees of freedom instead of the 2N - 2 degrees of freedom of the…
Descriptors: Correlation, Statistical Analysis, Statistical Significance, Scores
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Zimmerman, Donald W. – Psicologica: International Journal of Methodology and Experimental Psychology, 2011
This study investigated how population parameters representing heterogeneity of variance, skewness, kurtosis, bimodality, and outlier-proneness, drawn from normal and eleven non-normal distributions, also characterized the ranks corresponding to independent samples of scores. When the parameters of population distributions from which samples were…
Descriptors: Statistical Analysis, Nonparametric Statistics, Scores, Error Patterns
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Zimmerman, Donald W. – Psicologica: International Journal of Methodology and Experimental Psychology, 2004
It is well known that the two-sample Student t test fails to maintain its significance level when the variances of treatment groups are unequal, and, at the same time, sample sizes are unequal. However, introductory textbooks in psychology and education often maintain that the test is robust to variance heterogeneity when sample sizes are equal.…
Descriptors: Sample Size, Nonparametric Statistics, Probability, Statistical Analysis