Statistics Project

Strength and conditioning coaches at a major university have designed a study to compare the benefits of (a) a strength training program that includes an experimental diet to (b) the same strength training program but with no special diet.  The coaches have randomly assigned 32 middle- and long-distance runners to one of the two programs (i.e., 16 runners to the strength training program plus diet and 16 runners to the strength training program with no special diet).

To measure the effects of the two approaches, the coaches recorded the maximum number of pounds each person could lift (bench press) 10 times.  This measure is simply called stamina.  They collected this stamina measure just prior to the study (Time 1 and 3) consecutive weeks after the study begins (Times 2 – 4)

These data are in an SPSS data file entitled, "stamina.sav," which can be downloaded when clicking on the file name on Canvas. Below are the data descriptions: A. treat = The program to which participants were randomly assigned (1 = strength training program plus diet; 2 = strength training program with no special diet).

B. stamina1 = The maximum number of pounds each person could lift at time 1. C. stamina2 = The maximum number of pounds each person could lift at time 2. D. stamina3 = The maximum number of pounds each person could lift at time 3. E. stamina4 = The maximum number of pounds each person could lift at time 4.

Being the brilliant ANOVA student that you are, the coaches come to you for help with the analysis. The coaches would like to know the effects of the two programs on participants’ stamina over time.

To help the coaches:

1. Write up a summary of the ANOVA results.  Be sure to include the following information in your results summary:

Purpose of the Study :  Indicate the general purpose of the study/experiment and what

statistical procedure was used.

Assumptions :  Indicate whether the homogeneity of variance or the independence of observations assumptions were violated (for the purposes of this homework, assume that normality was checked and no problems were found). If so, indicate whether the ANOVA
is "robust" to the specific violation or indicate what should be done to remedy the violation
(e.g., perform different post hoc analyses, use a more stringent alpha level). Also, assume

that sphericity is violated and use an Epsilon corrected statistics.

ANOVA Results :  Indicate whether or not the main effects and the interaction are significant and include the statistical proof (e.g., F (2, 27) = 5.4, p < .05).  In addition, include an ANOVA source table and refer to it when describing the overall F test results (please do not simply copy the table from the SPSS output and paste it into your document ).

Strength of the Relationship: Indicate the strength of each effect using partial eta squared and compare the value to the predetermined threshold (.01 = small; .06 = moderate; .14 =

large).

Post Hoc Procedures : Indicate the type of post hoc procedure you used to make comparisons among groups.  Using plain language, indicate which groups significantly differed from one another and indicate the direction of that difference for each post hoc procedure.  Use the descriptives table (described below) to indicate any significant differences between groups with the use of superscripts.

Table of Descriptives: When indicating the direction of the differences between groups (as described above), be sure to refer to and include a table with the mean and standard deviation for the dependent variable in each group (rows and columns) and each cell as well as the number of participants within each group. NOTE:  Be sure to create this table of descriptives. You will have to take extra steps to calculate the combined column for the

between-subjects variable means.

Be sure to turn in all the relevant SPSS output to receive full credit

Price: $8.08

Solution: The downloadable solution consists of 5 pages, 308 words.
Deliverable: Word Document