The formula for the family-wise error rate when conducting multiple comparisons with t-tests is 1 - (1 - α)c. Could you intuitively explain where this formula comes from? That is, why does subtracting the quantity (1 - α)c from one calculate the cumulative probability of a type I error?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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The formula for the family-wise error rate when conducting multiple comparisons with t-tests is 1 - (1 - α)c.

Could you intuitively explain where this formula comes from? That is, why does subtracting the quantity (1 - α)c from one calculate the cumulative probability of a type I error? 

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