14.01.2022 PSYC216 Social Statistics II final examination example questions Lecturer: Assist. Prof. Dr. Deniz Atalar Academic semester: Fall 2021 - 2022 Two factor analysis of variance example question 1. A researcher was interested in defining the relationship between type of television program and amount of time watching this program on the school performance of individuals. The researcher used a between subjects design. The data from this study can be found in the below table. Compare the mean differences using the results from this study, incorporating hypothesis testing steps and an alpha level (α) of .05. Program type Educational TV Non-educational TV Amount of time watching TV Substantial Little watching watching 1 6 5 6 4 4 3 5 2 4 M=3 M=5 T = 15 T = 25 SS = 10 SS = 4 5 0 1 0 5 1 3 3 1 1 M=3 M=1 T = 15 T=5 SS = 16 SS = 6 N = 20 G = 60 ∑x2 = 256 Correlation example question 2. A researcher performed a Pearson correlation analysis on the variables anxiety, wellbeing and stress to identify if they were correlated. The researcher performed the analysis in Jamovi and obtained the below table. Report the results of this analysis. Regression example question 3. a. Find the equation for X for the predicted Y values from the below table data. b. Calculate the expected Ŷ value for each of the X values using the equation. c. Calculate r and the R2 values. X Y 3 4 2 7 5 6 1 1 4 2 Repeated-measures analysis of variance example question 4. A researcher wants to examine the benefits that therapy for depression produces over two years. The researcher recruited fifty participants (n = 50) and recorded there depression levels four times: before therapy, immediately after therapy, one year after therapy and two years after therapy. The scores were recorded using a questionnaire that measured depression. A Repeated Measures ANOVA was carried out to compare the mean differences. The below Jamovi output tables contain the results from this research. Report the results from this research stating the ANOVA results, Posthoc test results (if necessary) and any other relevant results. Multiple regression example question 5. A researcher is interested in the relationship between IQ, salary and hours an individual sleeps. The researcher hypothesized that as IQ and salary increases hour’s slept decreases. A regression analysis was carried out using multiple regression to analyse this data. The researcher defined IQ and salary as the predictor variables and hours slept as the outcome variable. The below SPSS output tables contain the results from this research. Report the results from this research stating the regression results.