Instructions:
You have learned about nonparametric methods and models, now please answer the following questions in detail by applying the knowledge that you have gained from readings and lectures. It is important to include hypothetical examples whenever applicable. Provide a hypothetical example for each of the questions.
- 1. Explain the objective of nonparametric sign test on the median of a population and the underlying assumptions. Explain formulation of the hypothesis, the test statistic, the rationale for rejecting the null, the criterion for choosing the critical point(s), possible test outcomes, and the criterion for evaluating the p value. Include both nondirectional and directional hypotheses.
2. Describe the objective of non-parametric Wilcoxon paired samples signed rank test in comparing the median of a population with the median of another population. State the underlying assumptions. Explain formulation of the hypothesis, the test statistic, the rationale for rejecting the null, the criterion for choosing the critical point(s), possible test outcomes, and the criterion for evaluating the p value. Include both nondirectional and directional hypotheses.