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partygirl4u59 partygirl4u59
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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.

Textbook 
Introductory Statistics: A Problem-Solving Approach

Introductory Statistics: A Problem-Solving Approach


Edition: 3rd
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naj2008hnaj2008h
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