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A normal approximation for testing the equality of two independent Chi-square variables

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Abstract

A simple normal approximation is supplied to test the equality of two independent Chi-square variables. The approximation appears to be valid for degrees of freedom as small as two. Thus no new table of critical values is needed. The standard unit normal distribution tables are sufficient.

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References

  • Kendall, M. G. and Stuart, A.The advanced theory of statistics. I. New York: Hafner Publishing Co., 1958.

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  • Knepp, D. L. and Entwisle, D. R. Testing significance of differences between two chi-squares.Psychometrika, 1969,34, 331–333.

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D'Agostino, R.B., Rosman, B. A normal approximation for testing the equality of two independent Chi-square variables. Psychometrika 36, 251–252 (1971). https://doi.org/10.1007/BF02297846

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  • DOI: https://doi.org/10.1007/BF02297846

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