One of the more challenging aspects of data analysis is determining which statistical tests to run (given the circumstances) and performing the statistical software steps correctly. There are several types of decision trees you can use to select a statistical test, but we will look at just one type in this assignment.

At the most fundamental level, statistical tests are usually chosen according to:

• The nature of the data you have collected to answer the research question in your study (nominal, ordinal, or interval/ratio).
• The number of samples being analyzed for a given variable (often described by groupings).
• What you wish the test to do (find differences between samples/groups, explore relationships between variables, make predictions using different variables).

Before choosing a test for interval/ratio data, there is one final characteristic of the data that must be determined, which is whether the data is "normally" distributed. If the data distribution violates the assumption of normality, a nonparametric equivalent test must be selected for the analysis.

There are many other issues that can influence the analytical technique (sample size, variability of the data, inter-relatedness of the variables, et cetera), but these challenges are for another time, another course.

Preparation

You are encouraged to review the t-test and ANOVA materials from previous weeks. Then, examine How to Choose a Statistical Test and the test-selection tutorials linked in the Resources to determine which statistical test is most likely to be appropriate for your data type.

Instructions

Use the Framingham study data set to perform and interpret statistical tests that answer the following research questions. Then, provide a written analysis of your results.

Q1- Smoking and total cholesterol: First, test the normal distribution assumption and select the appropriate statistical analysis path. Next, compare smokers and nonsmokers (variable: cursmoke1) in the Framingham study to determine whether there was a significant difference in baseline cholesterol levels (variable: totchol1).

Q2- BMI categories and baseline glucose levels: First, without testing for the assumption of a normal distribution of data, test for the equality of variances and select the appropriate statistical analysis path. Then, use the categorical variable BMI, which has four BMI categories (variable:
bmiCat1) to compare baseline glucose levels (variable: glucose1) to determine if there is a significant difference across these four BMI categories.

Q3- Smoking and heart rate: First, test the normal distribution assumption and select the appropriate statistical analysis path. Next, determine whether there is a significant difference in baseline heart rate (variable: heartrte1) between smokers and nonsmokers.

Written Analysis Format and Length

Format your analysis using APA style.

• An APA Style Paper Tutorial is provided to help you in writing and formatting your analysis.
• Your analysis should be 2–3 pages long, not including the title and references pages.

Note: The requirements outlined below correspond to the grading criteria in the rubric. Be sure that your statistical analysis addresses each point, at a minimum. You may also want to read the Testing to Find Differences Between Groups rubric to understand better how each criterion will be assessed.

• Perform the appropriate statistical tests (based on the assumption test).
  • Provide your rationale for test selection.
• Interpret the results of your statistical tests (t tests, ANOVA) for each research question.
  • Consider associated caveats and limitations.
• Determine the practical, public health-related implications of your statistical tests' results (t tests, ANOVA).
  • What evidence do you have that validates your conclusions?
• Write clearly and concisely, using correct grammar, mechanics, and APA formatting.
  • Write for an academic audience, using appropriate statistical terminology, style, and form.
  • Express your main points and conclusions coherently.
  • Proofread your writing to minimize errors that could distract readers and make it more difficult for them to focus on the substance of your statistical analysis.

Submission Instructions

• Include the test results and associated graphics in your written analysis (copied from the output and pasted into a Word document).
• Submit both the Word document and the .jasp file that shows your analyses and output for this assignment. Make sure you save your .jasp file after running your analyses to ensure you are uploading your output.

Resources

Use this file for this week's assignment. Framingham Week 4 [XLSX]

• Framingham Heart Study Longitudinal Data Documentation [PDF].
• APA Style Paper Tutorial [DOCX]Links to an external site..
• Choosing the Right Statistical Test.
• Statistical Tests.
• Framingham Study [ZIP].
• How to Choose a Statistical Test [PPTX].