Exam 4: ANOVA Name 1) The following data were obtained from an independent-measures research study comparing three studying conditions: at home, at a coffee shop, or in a library. Data regarding number of correct answers on a quiz the next day is listed below. (9 points) Home Coffee Shop Library n = 6 n = 6 n = 6 N = 18 T = 44 T = 30 T = 52 G = 126 SS = 29 SS = 26 SS = 7 EX2 = 986 a) Complete an ANOVA table for this study. Source SS df MS F Between Within Total b) Provide the critical value for F at a = .05: (2 points) Is the overall ANOVA significant (Yes or No)? (2 points)c) Below are the means quiz scores for each studying condition: Mhome = 7.3, Mcoffeeshop = 5, Mlibrary = 8.7 The Tukey HSD = 3.0. With this information, which of the following most accurately describes the summary of the results? (5 points) A) Studying at home is significantly better than studying at a coffee shop B) Studying at the library is significantly better than studying at a coffee shop C) Studying at the library is significantly better than studying at home D) There is no significant difference between any studying conditions 2) Suppose a study with the same exact data is done in two different ways: First by using an independent-samples design, and then again using a repeated-measures design. Below is the summary of the data for the independent-samples design: Treatment 1 Treatment 2 Treatment 3 M = 3 M = 4 M = 5 G = 48 SS = 26 SS = 30 SS = 38 X = 294 n = 4 n = 4 n = 4 N = 12 The ANOVA Summary table is provided below: Source SS df MS F C. V. F Sig. Between 8 2 4 0.38 4.26 Treatment NS Within 94 9 10.44 Treatment Total 102 11 Notice the results of this study are not significant, since the F ratio calculated is not greater than the critical value (c.v. F(2,9) = 4.26; 0.38