Use a simple ANOVA model to compare the means of the following samples 10.0, 9.6, 8.8, 9.1, 11.8, 9.6, 9.0, 10.7, 10.0, 11.6 9.7, 9.2, 9.0, 9.7, 9.0, 9.8, 9.6, 8.3, 8.1, 10.0, 8.3, 8.2 10.9, 13.9, 5.6, 11.5, 12.4, 8.6, 15.2, 5.5 10.3, 10.6, 9.5, 9.4, 10.8 Group 1: Group 2: Group 3: Group 4: a) Compare the posterior distributions of the expected values for the four groups. b) Compare the posterior distributions of the model effects to those of the first group. c) Use unequal variances for each group. Compare their posterior distributions and infer their equality or inequality.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.4: Distributions Of Data
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Use a simple ANOVA model to compare the means of the following samples
Group 1: 10.0, 9.6, 8.8, 9.1, 11.8, 9.6, 9.0, 10.7, 10.0, 11.6
Group 2: 9.7, 9.2, 9.0, 9.7, 9.0, 9.8, 9.6, 8.3, 8.1, 10.0, 8.3, 8.2
Group 3:
10.9, 13.9, 5.6, 11.5, 12.4, 8.6, 15.2, 5.5
10.3, 10.6, 9.5, 9.4, 10.8
Group 4:
a) Compare the posterior distributions of the expected values for the four groups.
b) Compare the posterior distributions of the model effects to those of the first group.
c) Use unequal variances for each group. Compare their posterior distributions and infer
their equality or inequality.
Transcribed Image Text:Use a simple ANOVA model to compare the means of the following samples Group 1: 10.0, 9.6, 8.8, 9.1, 11.8, 9.6, 9.0, 10.7, 10.0, 11.6 Group 2: 9.7, 9.2, 9.0, 9.7, 9.0, 9.8, 9.6, 8.3, 8.1, 10.0, 8.3, 8.2 Group 3: 10.9, 13.9, 5.6, 11.5, 12.4, 8.6, 15.2, 5.5 10.3, 10.6, 9.5, 9.4, 10.8 Group 4: a) Compare the posterior distributions of the expected values for the four groups. b) Compare the posterior distributions of the model effects to those of the first group. c) Use unequal variances for each group. Compare their posterior distributions and infer their equality or inequality.
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