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

question 20

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:

Participating Style

A leadership or management approach that actively involves team members in decision-making processes and problem-solving tasks.

Delegating Style

A management approach where authority and tasks are transferred to subordinates or team members.

Telling Style

A leadership approach focused on unilaterally giving instructions and expecting compliance.

Situational Leadership

A leadership approach that emphasizes the need to adjust style and strategies based on the maturity level of the team members and the specific circumstances facing the organization or project.