Chapter 7 Homework-2

Chapter 7 Homework 1. Pretend you want to know if there is a difference in happiness between people who live in the city, the country, or on an island. You find n = 5 people who live in the city, n= 5 people who live in the country, and n=5 people who live on an island, and you compare their happiness ratings (higher scores = happier). The data are below. City (X 1 ) Country (X 2 ) Island (X 3 ) N = ΣX total = ΣX 2 total = 1 1 4 2 3 6 2 3 2 0 4 4 3 3 3 M 1 = ΣX 1 = M 2 = ΣX 2 = M 3 = ΣX 3 = A. Do the data indicate significant differences people who live in the city, in the country, or on an island? Test with alpha = .05. Be sure to calculate the ANOVA by hand and show all of your work . critical F-value for α = 0.05 B. Calculate η 2 .η² = SS_between / SS_tota=0.0247 C. If you do have a significant ANOVA, then calculate Tukey’s HSD by hand to determine which group(s) is(are) different from which other(s). there is no significant evidence to conclude that there are differences in happiness between people living in the city, country, or on an island. 2. The following summary table presents the results from an ANOVA comparing k=4 treatment conditions with n = 12 participants in each of the 4 conditions. Complete all missing values (hint: begin with the df column and remember that N is equal to “n” times “k”). Show your work ! Source SS df MS F Between treatments 9 3 9 1.09 Within Treatments 121 44 2.75 Total 130 47