2003RePEc: Research Papers in EconomicsOpen access

Monotonicity of Chi-square Test Statistics

Keunkwan Ryu

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Abstract

This paper establishes monotonicity of the chi-square test statistic.As the more efficient parameter estimator is plugged into the test statistic, the degrees of freedom of the resulting chi-square test statistic monotonically increase.

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What this paper is about

This paper establishes monotonicity of the chi-square test statistic.As the more efficient parameter estimator is plugged into the test statistic, the degrees of freedom of the resulting chi-square test statistic monotonically increase.

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Available abstract

This paper establishes monotonicity of the chi-square test statistic.As the more efficient parameter estimator is plugged into the test statistic, the degrees of freedom of the resulting chi-square test statistic monotonically increase.

Key concepts: Chi-square test, Pearson's chi-squared test, Monotonic function, Statistic, Statistics, Test statistic, Mathematics, Estimator

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