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1973•Journal of the American Statistical AssociationRequires access

How Many Classes in the Pearson Chi—Square Test?

Ram C. Dahiya, John Gurland

Open publisher page 48 citations

Abstract

The asymptotic non-null distribution is obtained for the modified form of the Pearson chi-square statistic studied by Dahiya and Gurland [3]. By utilizing this result the power is obtained for specific alternative distributions in testing for normality. This enables recommendations to be made as to the number of class intervals to be employed in applying the aforementioned modification of the Pearson chi-square test of normality.

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What this paper is about

The asymptotic non-null distribution is obtained for the modified form of the Pearson chi-square statistic studied by Dahiya and Gurland [3]. By utilizing this result the power is obtained for specific alternative distributions in testing for normality. This enables recommendations to be made as to the number of class intervals to be employed in applying the aforementioned modification of the Pearson chi-square test of normality.

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OpenAlex reports 48 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

The asymptotic non-null distribution is obtained for the modified form of the Pearson chi-square statistic studied by Dahiya and Gurland [3]. By utilizing this result the power is obtained for specific alternative distributions in testing for normality. This enables recommendations to be made as to the number of class intervals to be employed in applying the aforementioned modification of the Pearson chi-square test of normality.

Key concepts: Pearson's chi-squared test, Mathematics, Pearson product-moment correlation coefficient, Chi-square test, Statistics, Normality, Normality test, Asymptotic distribution

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How Many Classes in the Pearson Chi—Square Test? — Research Paper | ScholarLens