The following questions give the sample sizes for the groups in a dataset and an outline of an analysis of variance table with some information on the sums of squares. In each question a) fill in the missing parts of the table, and b) state the conclusion of the test. Give your answers to 3 decimal places.
1. There are five groups with n1 = 5, n2 = 5, n3 = 5, n4 = 5, n5 = 5.
a. Fill in the missing parts of the ANOVA table
Source | df | SS | MS | F-statistic | p-value
Groups | | 84.16 | | | < 0.0001
Error | | 34.84 | | |
Total | | | | |
b. What is the conclusion of the test at alpha = 0.05?
i. Reject H0 ii. Do not reject H0
2. There are three groups with n1 = 8, n2 = 7, n3 = 6.
a. Fill in the missing parts of the ANOVA table
Source | df | SS | MS | F-statistic | p-value
Groups | | 120.69 | | | 0.0395
Error | | | | |
Total | | 400 | | |
b. What is the conclusion of the test at alpha = 0.05?
i. Reject H0 ii. Do not reject H0