Repeat Exercises 10.141-10.146 of Section IO.5. There, you...

Repeat Exercises $10.141-10.146$ of Section IO.5. There, you applied the paired t-test to solve each problem. Now solve each problem by applying the paired Wilcoxon signed-rank test. Anorexia Treatment. Anorexia nervosa is a serious cating disorder, particularly among young women. The following data provide the weights, in pounds, of 17 anorexic young women before and after receiving a family therapy treatment for anorexia nervosa. ISOURCE: D. Hand et al., ed., A Handbook of Small Data Sets, London: Chapman \& Hall, 1994; raw data from B. Everitt (personal communication)]

Repeat Exercises $10.141-10.146$ of Section IO.5. There, you applied the paired t-test to solve each problem. Now solve each problem by applying the paired Wilcoxon signed-rank test.
Anorexia Treatment. Anorexia nervosa is a serious cating disorder, particularly among young women. The following data provide the weights, in pounds, of 17 anorexic young women before and after receiving a family therapy treatment for anorexia nervosa. ISOURCE: D. Hand et al., ed., A Handbook of Small Data Sets, London: Chapman \& Hall, 1994; raw data from B. Everitt (personal communication)]

Key Concepts

Nonparametric Methods

Nonparametric methods are statistical techniques that do not assume a specific probability distribution for the data, such as normality. They are particularly useful when dealing with small sample sizes or when the data deviates from the assumptions required by parametric tests.

Wilcoxon Signed-Rank Test

The Wilcoxon signed-rank test is a nonparametric alternative to the paired t-test. It evaluates whether the median difference between paired observations is zero by ranking the absolute differences and considering the direction of these differences, making it robust to outliers and non-normality.

Paired Data Analysis

This concept involves data collected from the same subjects under two different conditions or at two different times. It is crucial in scenarios where each observation in one sample is uniquely matched with an observation in another, enabling comparisons that account for inter-subject variability.

Hypothesis Testing

Hypothesis testing is the framework for making inferences from data by establishing a null hypothesis and determining whether observed data provides sufficient evidence to reject that hypothesis in favor of an alternative. This approach is central in statistical analysis to assess treatment effects or condition differences.

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