*Application: Bivariate tests

Procedure:

Provide a brief description of the procedure for generating bivariate tests as outlined below. Your description should include 1) the R command and statistical procedure used, and 2) the raw output presented by R. The purpose of this section is to a) verify that you have selected the appropriate procedure, b) verify that you have completed and interpreted the procedure correctly, and c) document these procedures in your own way for future use on other projects.

To complete this assignment, you will report on any two bivariate tests available in R commander. If you have paired data, you may also do a paired value test if desired.

Provide a writeup for at least two bivariate tests. At least one of these must demonstrate a statistically significant relationship between the dependent variable and independent variable.

Writeup:

Write the results of your analysis in paragraph form. The writeup should achieve the following:

• Identify the research question(s) addressed by the analysis
• Provide a very brief description of the two variables used in the analysis
• Identify the test used and, if appropriate, a justification for the test used (justification should be extremely brief; usually a few words within a sentence)
• Provide the technical and substantive results, with emphasis on the substantive results (technical results can be provided in parentheses)
• Identify conclusions or implications of the results relative to the research question(s) addressed by the analysis.

Example Writeups:

We are interested in understanding what factors influence philanthropic behaviors in the wake of the Haiti earthquake. In particular, we are interested in the influence of gender on giving. Donations to Haiti are measured using open-ended responses to the survey question, "All together, how much money have you donated for Haiti relief?" On average, men who donated money to Haiti donated about $160 dollars more than women who donated to Haiti. The average donation among men who gave was about $235 and the average donation among women who gave was about $74 (t=2.11, p=.0174 for a two-tailed t-test).

We are interested in the impact of dietary habits on student weight. In particular, we are interested in whether eating fast food (measured in meals per week) has an impact on an interval-level measure of student weight (in pounds). Using simple regression analysis, we found that eating fast food has a statistically significant positive relationship with student weight. For a one meal per week increase in eating fast food, student weight increases by 12.26 pounds (t=2.11, p=.0174). This suggests that eating patterns--fast food consumption in particular--may be a significant contributor to weight gain in students.