Discussion: Nonparametric Tests
You will work in the discussion area for the last time to identify a research question created in week 1 that would utilize any of the nonparametric tests (e.g., Chi-Square test of independence, Mann-Whitney U Test, etc.) listed in the Required Readings from Sukal (2013) for this week. If there are no research questions that fit these types of statistical analyses, you will need to decide on a new question before moving forward with the assignment.
In your initial posting for this assignment, include the following:
Identify an appropriate research question that would require the use of a nonparametric test to answer. Pick the question from the list created in Week 1 or identify a new question if there are no appropriate ones from Week 1.
Describe why this question is appropriate for the selected statistical test.
Identify the variables in this study and each of their attributes: discrete or continuous, quantitative or categorical, and scale of measurement (nominal, ordinal, interval, or ratio).
Do the variables fit the qualifications for the selected statistical test? Explain.
List the statistical notation and written explanation for the null and alternative hypotheses.
Describe the types of errors that could occur.
Case Study
The readings for this week focus on various types of nonparametric tests. In this discussion we will apply those concepts to the analysis of a case study. Read the "Diet and Health" case study presented in Chapter 20 of the Online Statistics Education text.
In the body of your posting, include an overview of the following based on the research questions, "What is the relationship between diet and various measures of health and disease?"
Hypotheses: List the statistical notation and written explanations for the null and alternative hypotheses for the study.
Variables: Describe the independent and dependent variables, their levels, operational definitions, and characteristics (e.g., scale of measurement).
Data Analysis: The table of frequencies in the case study have been presented to you, along with the following: ?2 = 16.55, p = .001. Summarize the specific type of statistical test conducted, the results obtained, and conclusions regarding the hypotheses (e.g, can we reject at the .05 or .01 level?). Be sure to describe why this specific nonparametric test was selected.
Critique: Critique the results of the study, paying specific attention to the appropriateness of the analyses conducted, any biases or assumptions that were made, practical significance of the results, and recommendations for improving upon the study (methods or analyses).
The response should include a reference list. Double-space, using Times New Roman 12 pnt font, one-inch margins, and APA style of writing and citations.