Question 1
In the two-way ANOVA model, the total variability can be expressed as:
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SSA + SSE.
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SSA + SSB + SSE.
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SSA + SSB + SS(AB) + SSE.
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SSA + SSB + SS(AB) + SS(AE) + SSE.
Question 2
| Mean pair | Confidence interval |
| \(\style{font-family:Times New Roman;}{\mu_2-\mu_1}\) | (–134.35, 22.68) |
| \(\style{font-family:Times New Roman;}{\mu_3-\mu_1}\) | (–360.51,–195.82) |
| \(\style{font-family:Times New Roman;}{\mu_4-\mu_1}\) | (–360.68,–203.65) |
| \(\style{font-family:Times New Roman;}{\mu_3-\mu_2}\) | (–304.68,–139.99) |
| \(\style{font-family:Times New Roman;}{\mu_4-\mu_2}\) | (–304.85,–147.82) |
| \(\style{font-family:Times New Roman;}{\mu_4-\mu_3}\) | (–86.35, 78.35) |
The table provides a group of 95% simultaneous Bonferroni confidence intervals. Which mean pairs (if any) appear to differ and how?
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\(\style{font-family:Times New Roman;}{\mu_2>\mu_1\;}\)and\(\style{font-family:Times New Roman;}{\;\mu_2>\mu_3\;}\)and \(\style{font-family:Times New Roman;}{\;\mu_4>\mu_1}\)
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\(\style{font-family:Times New Roman;}{\mu_2>\mu_1\;}\)and\(\style{font-family:Times New Roman;}{\;\mu_4>\mu_3}\)
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\(\style{font-family:Times New Roman;}{\mu_1>\mu_3\;}\)and\(\style{font-family:Times New Roman;}{\;\mu_1>\mu_4\;\text{and}\;\mu_2>\mu_3\;}\)and\(\style{font-family:Times New Roman;}{\;\mu_2>\mu_4}\)
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None of the mean pairs appears to differ.
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