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Author Question: Mean pairConfidence interval\(\style{font-family:Times New Roman;}{\mu_2-\mu_1}\)(134.35, ... (Read 17 times)

kmoyer2

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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 pairConfidence 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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Marked as best answer by kmoyer2 on Feb 26, 2023

ALuthy

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Reply #1 on: Feb 26, 2023
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kmoyer2

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Reply 2 on: Feb 26, 2023
YES! Correct, THANKS for helping me on my review

pangili4

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Reply 3 on: Yesterday
Thanks for the timely response, appreciate it

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