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A Condition of Using the Chi-Squared Test Statistic for Testing

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A condition of using the chi-squared test statistic for testing the variance is that the population random variable have a normal distribution.


Definitions:

Two-Sided P-Value

The probability of observing an effect at least as extreme as the test statistic, considering both tails of the distribution in a two-sided test.

Identical Distributions

A statistical scenario where two or more probability distributions are the same across all outcomes, implying equal behavior and properties.

Wilcoxon Rank Sum Test

A nonparametric statistical test that compares two independent samples to assess whether their population mean ranks differ.

Observed Value

The actual value that is measured during an experiment or calculated from a dataset, as opposed to a theoretical expectation.

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