Which of the following describes the distinction between the LSD and the Bonferr

Question

Which of the following describes the distinction between the LSD and the Bonferroni method of addressing post hoc comparisons? The LSD method is more conservative than the Bonferroni method, and avoids more type I errors consequently making more type II errors. The Bonferroni method is more conservative than the LSD method, and avoids more type II errors consequently making more type I errors. The Bonferroni method is more conservative than the LSD method, and avoids more type I errors consequently making more type II errors. The LSD method is more conservative than the Bonferroni method, and avoids more type II errors consequently making more type I errors.

Explanation / Answer

The Bonferroni method results in a large amount of reduction of the power of the test and thus increasing Type-II error, as Power = 1 - P(Type II error). But this method overcorrects Type-I error.

But Fisher's LSD test ensures increase in power.

So the Bonferroni method is more conservative than the LSD method, and avoids more type I errors consequently making more type II errors.

So the 3rd option is the correct choice.

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