ara Hernandcz 11. A psychologist would like to test whether animal subjects rand
ID: 3312642 • Letter: A
Question
ara Hernandcz 11. A psychologist would like to test whether animal subjects randomly assigns animals into three group saccharin (M -7.6 milliliters), and group three consumes Polycose (M presented below. consume the same amount of sweet-tasting solutions. He s. Group one consumes sucrose (M-9.1 milliliters) ; group two consumes 9 milliliters). The results ot P-value mo df 2 27 29 source MS 27 267 13.633 3,4661 0.0457 0 te treatments 3.4661 106.200 133.467 error 3.933 total a. What type of ANOVA did the reearcher conduct to test his hypothesis? (2 points) factoriA ANOVA b. Calculate and evaluate the effect size for this study. (4 points) c. write a brief interpretation of the results, clearly stating whether the researcher found significant differen the groups. (4 points) d. Ifyou performed a post-hoc test after the ANOVA what would you be testing? (2 pts) nf the studies described below, identify 1) the factor(s), 2) the number of levels for th iote analysisExplanation / Answer
(a) The researcher conducted a One-Way ANOVA in the above study.
(b) The effect size is given by: TREATMENT SUM OF SQUARES/TOTAL SUM OF SQUARES
That is, for the given data, effect size = 27.267/133.467 = 0.2043
(c) The value of the F-statistic calculated from the above table is 3.4661. At (2,27) degrees of freedom and 0.05 level of significance the crtical value of the F-distribution is 3.35413083. Since, the value of the test statistic is more than the critical value we can infer that the test is significant at 0.05 level. So, there is significant difference between the different groups.
(d) In a post-hoc test after ANOVA we can test which treatment means differ significantly. This can be done using the t-test for difference of means.
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