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Author Question: Why is it necessary to adjust the individual confidence level of each confidence interval for a ... (Read 81 times)

heyheyhey

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

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.


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


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.


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.



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Marked as best answer by heyheyhey on Feb 26, 2023

reason44

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heyheyhey

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Reply 2 on: Feb 26, 2023
Excellent


AmberC1996

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Reply 3 on: Yesterday
Great answer, keep it coming :)

 

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