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A Researcher Wants to Perform Either a Kruskal-Wallis Test or a One-Way

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Essay

A researcher wants to perform either a Kruskal-Wallis test or a one-way ANOVA to compare four population means. Independent samples of sizes 7, 6, 10, and 8 are selected from the four populations. The variable under consideration is normally distributed on each of the four populations and the population standard deviations are equal. Are the assumptions for the one-way ANOVA met? Are the assumptions for the Kruskal-Wallis test met? Which test is preferable? Why?

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Definitions:

Toxic Dose

The amount of a substance that causes harmful effects to an organism, potentially leading to poisoning or death.

Cyclothymic Disorder

Milder but more chronic form of bipolar disorder that consists of alternation between hypomanic episodes and mild depressive episodes over a period of at least 2 years.

Bipolar Disorder

A mental illness that causes extreme mood swings, including emotional highs (mania or hypomania) and lows (depression).

Cyclothymic Disorder

A chronic mood disorder characterized by alternating periods of mild depression and hypomania.

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