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Vegelius, Jan – Educational and Psychological Measurement, 1981
The G index is a measure of the similarity between individuals over dichotomous items. Some tests for the G-index are described. For each case an example is included. (Author/GK)
Descriptors: Hypothesis Testing, Mathematical Formulas, Mathematical Models, Nonparametric Statistics
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Hubert, Lawrence J.; Baker, Frank B. – Multivariate Behavioral Research, 1978
The strategy for investigating convergent and discriminant test validity, known as the multitrait-multimethod matrix, is investigated. A nonparametric significance testing procedure is suggested and demonstrated. (JKS)
Descriptors: Correlation, Hypothesis Testing, Mathematical Models, Matrices
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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
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Serlin, Ronald C.; Marascuilo, Leonard A. – 1978
When examining a repeated measures design with independent groups for a significant group by trial interaction, classical analysis of variance or multivariate procedures can be used if the assumptions underlying the tests are met. Neither procedure may be justified for designs with small sample sizes and dichotomous dependent variables. An omnibus…
Descriptors: Hypothesis Testing, Mathematical Models, Nonparametric Statistics, Research Design
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Whitney, Douglas R. – American Educational Research Journal, 1972
This paper describes two statistics (chi square and Kendall's S) which may be used to test hypotheses about the association between two variables when observations are cross-classified in a contingency table. (CK)
Descriptors: Attitudes, Comparative Analysis, Hypothesis Testing, Mathematical Applications
Keats, John B.; Brewer, James K. – 1971
This paper presents an index of goodness-of-fit for comparing m models over n trials. The index allows for differentiated weighting of the trials as to their importance in the comparison of the models. Several possible weighting schemes are suggested and the conditions on the weights which assure asymptotic normality of the index distribution are…
Descriptors: Goodness of Fit, Hypothesis Testing, Mathematical Models, Nonparametric Statistics
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Penfield, Douglas A.; Koffler, Stephen L. – Journal of Experimental Education, 1978
Three nonparametric alternatives to the parametric Bartlett test are presented for handling the K-sample equality of variance problem. The two-sample Siegel-Tukey test, Mood test, and Klotz test are extended to the multisample situation by Puri's methods. These K-sample scale tests are illustrated and compared. (Author/GDC)
Descriptors: Comparative Analysis, Guessing (Tests), Higher Education, Mathematical Models
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Rosmann, Michael R. – 1973
When repeated measures are obtained on the same subjects, interobservation dependencies frequently are generated. The major ways in which these dependencies can arise are illustrated and it is shown how these dependencies may invalidate the use of analysis of variance (ANOVA) and its extension, trend analysis, as methods of evaluating the data of…
Descriptors: Analysis of Variance, Correlation, Goodness of Fit, Hypothesis Testing