Chi-Square Percentiles: Old and New Approximations, with Applications to Sample Size Determination

DOI10.1080/01966324.1983.10737120zbMath0546.62008OpenAlexW2029351433WikidataQ58250929 ScholiaQ58250929MaRDI QIDQ3336490

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Publication date: 1983

Published in: American Journal of Mathematical and Management Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01966324.1983.10737120

zbMATH Keywords

chi-square distributionsample size determinationstandard normal distributionWilson-Hilferty approximationapproximation of percentiles

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Statistical tables (62Q05) Probabilistic methods, stochastic differential equations (65C99) Statistical distribution theory (62E99)

Cites Work

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• Note on an Approximation to the Distribution of Non-Central χ 2
• Bounds on Normal Approximations to Student's and the Chi-Square Distributions
• Approximations for the Percentage Points of the Chi-Squared Distribution
• A Simple Formula for Interpolating Tables of X 2
• Approximate Circular and Noncircular Offset Probabilities of Hitting
• Approximate Formulas for the Percentage Points and Normalization of $t$ and $x^2$
• Asymptotic Formulas for Significance Levels of Certain Distributions
• A New Approximation to the Levels of Significance of the Chi-Square Distribution
• On Contingency Tables

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