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Blair, R. Clifford; Higgins, James J. – Journal of Educational Statistics, 1985
This study was concerned with the effects of reliability of observations, sample size, magnitudes of treatment effects, and the shape of the sampled population on the relative power of the paired samples rank transform statistic and Wilcoxon's signed ranks statistic. (Author/LMO)
Descriptors: Effect Size, Hypothesis Testing, Power (Statistics), Reliability
Kromrey, Jeffrey D.; Blair, R. Clifford – 1991
New multivariate permutation tests are proposed that may be effectively substituted for Hotelling's T-Square test in situations commonly arising in educational research. The new tests: (1) are distribution-free; (2) provide tests of directional as well as non-directional hypotheses; (3) may be tailored for sensitivity to specific treatment…
Descriptors: Educational Research, Equations (Mathematics), Hypothesis Testing, Mathematical Models
Blair, R. Clifford; Higgins, James J. – 1985
Monte Carlo methods were employed to assess the relative power of the paired samples t test and Wilcoxon's signed-ranks test under ten population shapes. Results of the study indicated that: (1) each of the two statistics was more powerful than the other in given situations; (2) the power advantages of the t test under normal theory were small;…
Descriptors: Estimation (Mathematics), Literature Reviews, Measurement Techniques, Monte Carlo Methods