An Alternate Multinomial Assessment of the Accuracy of the χ2 Test of Goodness of Fit

作者: Robert Radlow , Edward F. Alf

DOI: 10.1080/01621459.1975.10480306

关键词: Goodness of fitStatistical modelMathematicsMultinomial distributionMultinomial testEconometricsStatistics

摘要: Abstract Tate and Hyer [9] indicated in a recent article that the χ2 test of goodness fit is markedly error when expected frequencies are small, that, moreover, errors substance remain even with large frequencies. This result appears to arise from application an improper statistical model. When multinomial proposed here substituted, it found smaller than would suggest for small frequencies, negligible These empirical results support logical arguments presented favor “Exact Test.”

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