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PSC 103B Statistical Analysis of Psychological Data Homework #6 Due: 2/28/2008 1. Explain the difference between an ANOVA and an ANCOVA. (2.5 points) 2. On the first midterm, you were asked to compare the way men and women experience romantic relationships. You used data on affect collected from 8 males and 8 females (these are NOT couples) to tests the hypothesis that the genders experience relationships differently. To investigate this further, suppose you also know how long each individual had been in his/her relationship. Conduct an ANCOVA to analyze the data. The new data is as follows: a. What is the factor we are testing? (.5 points) b. What is the covariate? (.5 points) Sex Affective Score Relationship Length (in years) M 80
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Unformatted text preview: 9 M 100 11 M 110 12 M 120 13 M 70 12 M 100 11 M 110 5 M 120 12 F 70 8 F 80 8 F 90 10 F 90 7 F 70 8 F 110 13 F 80 9 F 110 11 c. Calculate the following sum of squares and sum of products. (3 points) d. Calculate the following Adjusted sum of squares and sum of products. (1 point) e. Complete the ANCOVA Table. (The red boxes will remain empty; 1 point) f. What is the critical F value for a significance level of .05? (.5 points) g. What can you conclude based on your ANCOVA? (2 points) SSy between SSy within SSy total SSx between SSx within SSx total SPxy between SPxy within SPxy total SSy Adjusted Means SSy Adjusted Error SSy Adjusted Total Source SS df MS F Adjusted Means Adjusted Error Adjusted Total...
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