Author Question: Mean pairConfidence interval\(\style{font-family:Times New Roman;}{\mu_2-\mu_1}\)(134.35, ... (Read 55 times)

kmoyer2 · **on:** Feb 26, 2023

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.

ALuthy · **Reply #1 on:** Feb 26, 2023

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