10 SPSS ACTIVITIES Repeated-Measures ANOVA ACTIVITY 1 SPSS Output for a Repeated-Measures ANOVA A researcher measured 10 subjects performing a hand–eye coordination task under four different conditions. The conditions were: (1) dim light, little feedback; (2) moderate light, little feedback; (3) high light, little feedback; and (4) high light, high feedback. Table 10.10 TABLE gives the resulting data. 10.10 Data set. Procedures and Questions 1 CONDITION 2 3 4 1 31 39 14 69 2 40 22 24 100 3 81 18 16 80 4 23 57 33 66 5 11 32 41 45 6 13 77 25 73 Click on Analyze→General Linear Model→Repeated Measures. 7 26 46 77 36 8 29 35 73 81 Type in the Within-Subject Factor Name (e.g., condition). 9 42 62 12 88 10 25 71 77 40 A. Notice this is a repeated-measures design, because all 10 subjects were tested under all four conditions. The researcher administered the four different conditions in a random order in an attempt to counter any carryover effects that might result if all subjects completed the conditions in the same order. B. Analyze the data with SPSS by performing the following commands: n n n n n n n n n n Type in the Number of Levels (4). SUBJECT Click on Add. Click on Define. Move the four levels of condition from the left into the Within-Subjects Variables box on the right. Note that this simply indicates that the repeated-measures (within subjects) factor consists of these measures. Click on Options. Click on Descriptive statistics in the Display window. Click on Continue. Click OK. C. Notice that the output has seven portions. Some of them are important to our interpretation, and others give very similar information. The portions are: n n n n n n n Q Within-subjects factors: Confirms your dependent variables across the four conditions. Descriptive statistics: Lists the means, standard deviations, and sample sizes for each condition. Multivariate tests: Presents a multivariate analysis of the repeated-measures design. Although this method is sometimes superior for use with repeated-measures designs, it is beyond the scope of this text. Mauchly’s test of sphericity: This is an important result. Tests of within-subjects effects: This is another important result (the outcome of the test of conditions). Tests of within-subjects contrasts: These are linear, quadratic, and cubic tests of changes across the four conditions. We will not use them here. Tests of between-subjects effects: No between-subjects effects exist in this example. We will ignore this result. 1. How many degrees of freedom exist for the test of condition? 2. Interpret Mauchly’s test of sphericity. 3. Do you have to adjust the within-subjects effects to accommodate the sphericity assumption? 4. Does a significant difference exist across the four levels of condition? (Use = .05.) 5. Why are the “Sig.” values different for the four different tests of within-subjects effects for (a) sphericity assumed, (b) Greenhouse–Geisser, (c) Huynh–Feldt, and (d) lower-bound results? 6. Show how the degrees of freedom were obtained for each of the sphericity adjustments. (Hint: Epsilon values are found in the Mauchly test box.) 7. What is the null hypothesis for this study? 8. Will you accept or reject the null hypothesis? 9. Assume that the sphericity assumption has not been met. Use the most conservative adjustment for sphericity. What decision would you make about the null hypothesis? 10. Describe the differences identified in the four conditions. 11. Draw a figure representing the differences among the four conditions. ACTIVITY 2 An Experiment Using a Repeated-Measures Design A researcher has 10 individuals complete a maximum treadmill run to exhaustion and records heart rates at three times: (a) immediately at the end of the test; (b) 1 minute after completion; and (c) 2 minutes after completion. Table 10.11 gives the data that were collected. Procedures and Questions A. Enter the data into SPSS and complete a repeated-measures ANOVA by following the steps suggested above. Answer the following questions: TABLE 10.11 Data set. IMMEDIATE POST 1 MINUTE POST Q 12. How many degrees of freedom exist for the test of 194 Time? 182 13. Interpret Mauchly’s test of sphericity. 168 14. If you decide to conduct the test for Time with the most conservative adjustment to the degrees of 202 freedom, which adjustment would you use? What 175 do you conclude about the null hypothesis regarding changes in heart rate across the three time periods? 185 15. Draw a figure representing the changes in heart 164 rate across the three Time periods. Put Time on the horizontal axis and the heart rate (HR) values 191 on the vertical axis. 180 16. Interpret the figure you have drawn. 192 17. Look at the output labeled Tests of Within-Subjects Contrasts. What do these results tell you about the change in heart rates across the three Time periods? 18. Rerun the analysis, but this time select Plots in the Repeated Measures window. Then move the time factor to the Horizontal Axis box. Click on Add, Continue, and OK. Compare the resulting figure with the one you drew for question 4. 19. What do you conclude from this research? 2 MINUTES POST 123 98 120 85 150 110 155 120 123 94 125 89 140 100 142 112 160 120 130 115
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