The Wilcoxon Rank-Sum test is used for comparing_______________?
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Answer: C. Two populations
Explanation
The Wilcoxon Rank-Sum test is a non-parametric statistical method designed to compare two populations. It evaluates whether two independent samples were selected from populations having identical distributions. This test converts raw data into ranked values to avoid assuming normal distribution parameters. Non-parametric tests do not require underlying assumptions about population probability distribution shapes. It serves as the non-parametric alternative to the independent samples two-sample t-test. Data values from both comparison groups are combined and ranked in ascending numerical order.
Medical researchers use this test to compare patient recovery times between two different drug treatments. Educational psychologists apply rank-sum tests to evaluate test score differences between two school districts. When sample data violates normality assumptions, non-parametric tests provide reliable comparative results. Comparing more than two populations requires alternative methods like the Kruskal-Wallis ANOVA test. Comparing a sample mean to a population mean is accomplished using a one-sample t-test method. Option D is incorrect because the test specifically compares exactly two independent populations.
- Subject
- Mathematics
- Category
- Statistics
- Topic
- —
- Difficulty
- medium
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