Q Complete the problem sets that apply principles and procedures related to ANOVA, the Tukey HSD test, chi-square tests, and regression. ANOVA, Chi-Square Tests, and Regression Complete the following problems within this Word document. Do not submit other files. Show your work for problem sets that require calculations. Ensure that your answer to each problem is clearly visible. You may want to highlight your answer or use a different type color to set it apart. ANOVA Problem Set 4.1: Critical Value Criterion: Explain the relationship between k and power based on calculated k values. Instructions: Read the following and answer the questions. Work through the following and write down what you see in the F-table. This will help familiarize you with the table. The F-table: The degrees of freedom for the numerator (k ? 1) are across the columns; the degrees of freedom for the denominator (N ? k) are across the rows in the table. A separate table is included for a .05 and .01 level of significance. Increasing the levels of the independent variable (k): Suppose we have a sample size of 24 participants (N = 24). Record the critical values given the following values for k: Problem Set 4.2: One-way ANOVA in SPSS Criterion: Calculate an ANOVA in SPSS. Data: The following is the amount of fat (in grams) consumed in a buffet-style lunch among professional bodybuilders under conditions of high, moderate, and low stress: Stress Levels High Moderate Low 10 9 9 7 4 4 8 7 6 12 6 5 6 8 7 Instructions: Complete the following steps: a. Open SPSS and open a New DataSet. b. Click the Variable View tab at the bottom and enter Stress and enter Fat as the variables. Click the Values box for the Stress row and define 1 as high, 2 as medium, and 3 as low. c. Enter the data. For example, type 1 in row 1 under Stress and type 10 in row 1 under Fat. Continue typing in all the data. Please remember to change to 2 in column 1 when the stress is moderate and change to 3 in column 1 when the stress is low d. In the Toolbar, click Analyze, select Compare Means, and then select One-Way ANOVA. e. Select Fat and then click Arrow to send it over to the Dependent List box. f. Select Stress and then click Arrow to send it over to the Factor box. g. Click OK and copy and paste the output below. Problem Set 4.3: One-way ANOVA in Excel Criterion: Calculate an ANOVA in Excel. Instructions: Use the data from Problem Set 4.3 to complete the following steps: a. Open Excel to an empty sheet. b. Enter the data from Problem Set 4.3. c. In Row 1, enter High in cell A1, Moderate in cell B1, and Low in cell B1. d. In the toolbar, click Data Analysis, select Anova: Single Factor, and click OK. e. In Input Range: $A$1:$C$6, put a check next to Labels in First Row, click OK. f. Results will appear in a new sheet to the left; copy and paste the input below. Problem Set 4.4: One-way ANOVA Results in APA Style Criterion: Report ANOVA results in APA format. Data: Use the results from Problem Set 4.4. Instructions: Complete the following: a. State the null hypothesis. Problem Set 4.5: Interpret ANOVA Results Criterion: Interpret the results of an ANOVA. Instructions: Read the following and answer the question. Data: Life satisfaction among sport coaches. Drakou, Kambitsis, Charachousou, and Tzetzis (2006) tested differences in life satisfaction among sport coaches. They tested differences by sex, age, marital status, and education. The results of each test in the following table are similar to the way in which the data were given in their article. Independent Variables Life Satisfaction M SD F p Sex 0.68 .409 Men 3.99 0.51 Women 3.94 0.49 Age 3.04 .029 20s 3.85 0.42 30s 4.03 0.52 40s 3.97 0.57 50s 4.02 0.50 Marital status 12.46 .000 Single 3.85 0.48 Married 4.10 0.50 Divorced 4.00 0.35 Education 0.82 .536 High school 3.92 0.48 Postsecondary 3.85 0.54 University degree 4.00 0.51 Masters 4.00 0.59