Author Question: Why is it necessary to adjust the individual confidence level of each confidence interval for a ... (Read 108 times)

heyheyhey · **on:** Feb 26, 2023

Why is it necessary to adjust the individual confidence level of each confidence interval for a multiple comparison of means procedure?

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The total probability of the \(\style{font-family:Times New Roman;}{\left(\begin{array}{c}k\\2\end{array}\right)}\) intervals being correct will always be less than the probability of any single confidence interval covering a single mean difference.

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Each confidence interval is slightly biased and the correction will alleviate that bias.

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The \(\style{font-family:Times New Roman;}{\left(\begin{array}{c}k\\2\end{array}\right)}\) intervals will not be able to detect slight differences in means without a correction.

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Confidence intervals are always estimates; so, when considering \(\style{font-family:Times New Roman;}{\left(\begin{array}{c}k\\2\end{array}\right)}\) of them, an adjustment is needed to allow for valid inference.

reason44 · **Reply #1 on:** Feb 26, 2023

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