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Inferential Statistics and ANOVA Analysis in Research Methods

PSYO 270: Introduction to Research Methods & Design Replication Experiment 2 - Inferential Statistics Individual Assignment Note: This is an individual assignment. Each person submits their own materials. Purpose: The purpose of today's assignment is to help you become familiar with interpreting the results of a 2 x 2 experiment using inferential statistics. This worksheet contains the descriptive results from Replication Experiment 2. You will add the inferential results and describe them (see tutorial video on Canvas). DV: TOTAL HAPPINESS OF THE LIFE Happy Life (Short Version): M = 6.54 SD = 1.33 Happy Life (Long w/ Milder End): M = 5.77 SD = 1.22 Sad Life (Short Version): M = 2.67 SD = 1.06 Sad Life (Long w/ Milder End): M = 3.18 SD = 1.14 MAIN EFFECTS Fill in the following information to evaluate the main effects in Replication Experiment 2. Factor A: VALENCE Factor B: Level/Condition 1 Level/Condition 2 LENGTH Happy Life Sad Life Level/ Condition 1 6.54 2.67 4.61 Short (30 years) Level/ Condition 2 Long (35 years) 6.16 5.77 3.18 4.48 2.93 Turn the page to continue. ANOVA Summary FACTOR A: Valence 340.38 .00 F p FACTOR B: Length 0.35 .55 INTERACTION : 52.51 .00 Valence x Length MAIN EFFECTS 1. Does there appear to be a main effect of factor A (are means )? Yes a. What is the size of the difference in the marginal means? 3.23 b. What are the F and p values for this difference in means/main effect? i. F = 340.38 ii. p = . 00 c. In the space below, describe the inferential results for this main effect (i.e., bold text in tutorial lecture): . There was a main effect of Valence, indicating that the happy life (M=6.16) was rated as higher in quality than the sad life (M=2.93). . The ANOVA showed that obtaining the observed difference in means was possible 0% of the time if the null hypothesis were true, F= 340.38, p =. 00. Turn the page to continue. 2. Does there appear to be a main effect of factor B (are means )? No a. What is the size of the difference in the marginal means? 0.13 b. What are the F and p values for this difference in means/main effect? i. F = 0.35 ii. p = . 55 c. In the space below, describe the inferential results for this main effect: . There was no main effect of Factor B indicating the short life (M= 4.61) and long life (M= 4.48) were not rated differently. . The ANOVA showed that obtaining the observed difference in means was possible 75% of the time if the null hypothesis were true, F=0.10, P =. 75. • Turn the page to continue.