Monotonicity of Chi-square Test Statistics
Keunkwan Ryu
Abstract
Open-access reader
Keunkwan Ryu
Abstract
Open-access reader
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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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