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Levy, Kenneth J. – Educational and Psychological Measurement, 1980
Analysis of Covariance (ANCOVA) is robust with respect to dual violations of the assumptions of equal regression slopes and normality of distributions provided that group sizes are equal, but displays disruptions of empirical significant levels when unequal regression slopes and unequal group sizes are coupled with nonnormal distributions.…
Descriptors: Analysis of Covariance, Nonparametric Statistics, Statistical Significance
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Levy, Kenneth J. – Educational and Psychological Measurement, 1976
Marascuilo (1966) proposes a chi square analog of Scheffe's multiple comparisons procedure. With respect to pairwise comparisons among k independent correlation coefficients, a multiple range procedure will produce lower critical values than the corresponding chi square values, thereby increasing the power of the resulting tests. Basis of the…
Descriptors: Analysis of Variance, Correlation, Mathematical Models, Statistical Significance
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Levy, Kenneth J. – Educational and Psychological Measurement, 1975
Proposes three different multiple range tests based upon the Newman-Keuls philosophy with respect to significance levels. The three tests utilize the Fmax statistic, Cochran's statistic and a normalizing log transformation of the sample variances respectively. (Author/RC)
Descriptors: Analysis of Variance, Comparative Analysis, Hypothesis Testing, Statistical Significance
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Levy, Kenneth J. – Psychometrika, 1974
Descriptors: Analysis of Variance, Hypothesis Testing, Models, Sampling
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Levy, Kenneth J. – Journal of Experimental Education, 1978
Monte Carlo techniques were employed to compare the familiar F-test with Welch's V-test procedure for testing hypotheses concerning a priori contrasts among K treatments. The two procedures were compared under homogeneous and heterogeneous variance conditions. (Author)
Descriptors: Analysis of Variance, Comparative Analysis, Hypothesis Testing, Monte Carlo Methods
Peer reviewed Peer reviewed
Levy, Kenneth J. – Journal of Experimental Education, 1979
Dunnett's procedure for comparing K-1 treatments with a control is discussed within the context of three nonparametric models: those of Kruskal-Wallis, Friedman, and Cochran. (Author/MH)
Descriptors: Analysis of Variance, Comparative Analysis, Mathematical Models, Nonparametric Statistics
Peer reviewed Peer reviewed
Levy, Kenneth J. – Journal of Experimental Education, 1979
Hawkin's procedure for testing a sequence of observations for a shift in location could have applicability for assessing change within a single subject. Monte Carlo results suggest that Hawkins' procedure is robust with respect to moderate violations of its underlying assumptions of homogeneity of variance and normality. (Author/GDC)
Descriptors: Case Studies, Hypothesis Testing, Individual Development, Mathematical Models