# Multiple Comparisons

• Richard M. Heiberger
• Burt Holland
Chapter
Part of the Springer Texts in Statistics book series (STS)

## Abstract

In Exercise 3.13 we discover that the probability of simultaneously making three correct inferences, when each of the three individually has P(correct inference) = 1— α= 0.95, is only (1 — α)3 = .953 = 0.857. Alternatively, the probability of making at least one incorrect inference is 1— 0.857 = 0.143 ≈ 3α. In general, the more simultaneous inferences we make at one time, the smaller the probability that all are correct. In this chapter we learn how to control the probability that all inferences are simultaneously correct. We usually phrase the goal as controlling the probability of making at least one incorrect inference.

## Keywords

Multiple Comparison Procedure Chronic Neck Pain Incorrect Inference Tukey Method Simultaneous Confidence Interval
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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## Copyright information

© Springer Science+Business Media New York 2004

## Authors and Affiliations

• Richard M. Heiberger
• 1
• Burt Holland
• 1
1. 1.Department of StatisticsTemple UniversityPhiladelphiaUSA