Suppose You Want to Use the Wilcoxon Rank Sum Test

question 104

Short Answer

Suppose you want to use the Wilcoxon rank sum test to detect a shift in distribution 1 either to the left or to the right of distribution 2, based on samples of sizes = 7 and = 9.
Should you use T₁ or T₁* as the test statistic?
______________
What is the rejection region for the test is = 0.05?
Reject if the test statistic ______________.
What is the rejection region for the test if =0.01?
Reject if the test statistic ______________.

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Definitions:

Behavioural Component

The observable actions or reactions of an individual, often in response to external stimuli or internal states, as part of a broader behavioural pattern.

James-Lange Theory

A hypothesis proposing that physiological arousal precedes the experience of emotion.

Conscious Experience

The awareness of internal and external events or stimuli, encompassing thoughts, feelings, and perceptions.

Autonomic Arousal

The activation or response of the autonomic nervous system, often in reaction to stress, resulting in physiological changes like increased heart rate or sweating.