SPSS Module 7 Assignment-Factorial ANOVA General Instructions: In this assignment, you will be asked to interpret the results from 1 Factorial ANOVA. As with previous assignments, the Aspelmeier and Pierce text does a wonderful job of explaining how actually run the test in Chapter 9. Follow their instructions on how to interpret the results for this assignment. As always I have given you the SPSS output so that you can answer these questions. Factorial ANOVA: The researchers think that age group (older and younger created in Assignment 8) and \"house\" will interact. Meaning that the groups of Freshmen who live in the dorms, Freshmen who live in apartments or houses, Freshmen who live with their parents, Sophomores who live in the dorms, Sophomores who live in apartments or houses, and Sophomores who live with their parents will differ on reported levels of Tangible Help with their closest female friends . As we learned from the text and the PPTs, we know these research situations require the use of the Factorial ANOVA. Here is the researchers' hypotheses: 1. Older and younger females will report different levels of tangible help. 2. Females who live in the dorms, females who live in apartments or houses, and females who live with their parents will report different levels of tangible help. 3. Age group and where they live now will interact. Use the SPSS data to make conclusions. Output Between-Subjects Factors Value Label Where do you live N 1 Dorm 34 2 Apartment or 34 House with Peers or Self 3 Younger vs. Older Parents 32 1.00 47 2.00 53 Descriptive Statistics Dependent Variable:Help Where do you live Younger vs. Older Dorm dimension2 Apartment or House with Peers or Self dimension2 Parents dimension2 Total dimension2 Mean Std. Deviation N 1.00 54.92 7.259 24 2.00 57.60 6.096 10 Total 55.71 6.957 34 1.00 54.78 5.357 9 2.00 55.28 7.591 25 Total 55.15 6.994 34 1.00 54.57 14.124 14 2.00 57.11 5.960 18 Total 56.00 10.236 32 1.00 54.79 9.367 47 2.00 56.34 6.759 53 Total 55.61 8.085 100 Levene's Test of Equality of Error Variancesa Dependent Variable:Help F 1.372 df1 df2 5 Sig. 94 .242 Tests of Between-Subjects Effects Dependent Variable:Help Source Type III Sum of Squares df Mean Square F Sig. 115.755a 5 23.151 .342 .886 266169.298 1 266169.298 3936.403 .000 Whlive 21.283 2 10.642 .157 .855 Agegrp 78.088 1 78.088 1.155 .285 whlive * agegrp 20.403 2 10.201 .151 .860 Error 6356.035 94 67.617 Total 315719.000 100 6471.790 99 Corrected Model Intercept Corrected Total a. R Squared = .018 (Adjusted R Squared = -.034) Multiple Comparisons Help Tukey HSD (I) Where do you (J) Where do you live live 95% Confidence Interval Mean Dorm Difference Std. (I-J) Error Apartment or House Sig. Lower Upper Bound Bound .56 1.994 .958 -4.19 5.31 Parents -.29 2.025 .988 -5.12 4.53 Apartment or Dorm -.56 1.994 .958 -5.31 4.19 House with Peers Parents -.85 2.025 .907 -5.68 3.97 Dorm .29 2.025 .988 -4.53 5.12 Apartment or House .85 2.025 .907 -3.97 5.68 with Peers or Self or Self Parents with Peers or Self Based on observed means. The error term is Mean Square(Error) = 67.617. Help Tukey HSD a,b,c Where do you live Subset N Apartment or House with 1 34 55.15 Dorm 34 55.71 Parents 32 56.00 Peers or Self Sig. .906 Part 2The APA Write-Up Instructions As with previous assignments, the American Psychological Association (APA) has standards for how statistical results should be presented. While the actual word choice varies, there are several essential components that are common among all presentations of statistical results and interpretations. Use the following instructions for ALL APA write-ups required for this course: For each analysis, use the following steps to write a complete description of results in proper APA format. 1. State what hypothesis was tested. 2. State what test was used. 3. What decision did you make? Reject the null or retain (fail to reject) the null. 4. Were the groups significantly different from each other? 5. Report the means and standard deviations for each group. 6. Put numbers in APA format: a. General Format: symbol for the test (df)= obtained value, p> or < significance level b. Specific for F Tests: F(2, 99)=3.98, p<.05 i. Now you need to discuss which of the mean comparisons done by the Tukey were significant. You do not need to report numbers just which groups were different from each other, if any. 7. Report Effect Size (if known) Example: Freshmen and Sophomores were expected to score significantly higher on a measure of depression than were Juniors and Seniors. A One-Way ANOVA was used to test the hypothesis leading to the rejection of the null hypothesis, indicating a significant difference between the means, F(3, 96)=4.61, p<.05. Tukey post-hoc tests revealed that Freshmen (M=9.65, SD=1.59) were significantly more depressed than were Juniors (M=4.59, SD=.98) and Seniors (M=5.68, SD=1.22) but not significantly different from Sophomores (M=8.95, SD=1.43). Also, Sophomores were significantly more depressed than Juniors and Seniors but not Freshman. For the Factorial ANOVA, you will do this 3 times (one for each F test). Answer the following questions for each hypothesis: 1. Older and younger females will report different levels of tangible help. a. What is the null hypothesis tested? 2. Females who live in the dorms, females who live in apartments or houses, and females who live with their parents will report different levels of tangible help. a. What is the null hypothesis tested? 3. Age group and where they live now will interact. a. What is the null hypothesis tested? Write up the results for the Factorial ANOVA and the Tukey procedures below