Statistical Education Resource Kit

Minimizing Chance of Type I and Type II Errors

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Table of Contents

Minimizing Chance of Type I and Type II Errors

O.J. Simpson trial: the situation

O.J. Simpson trial: jury decisions

Errors in Trials

Errors in Hypothesis Testing

Definitions: Types of Errors

Example: Grade inflation?

If X-bar is 2.865 …

If X-bar is 2.95 …

If X-bar is 3.00 …

Alternative Decision Rule

Type I Error

Minimize chance of Type I error...

P(Type I Error) in trials

Example: Serious Type I Error

Example: Not so serious Type I Error

Type II Error and Power

Type II Error and Power

Type II Error and Power

Power

Using Minitab to determine power

Maximizing power …

That is, factors affecting power...

Strategy for designing a good hypothesis test

Using Minitab to determine sample size

If sample is too small ...

If sample is really large ...

The moral of the story as researcher

The moral of the story as reviewer

Author: Laura Simon

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This web page was submitted by Laura J. Simon: lsimon@stat.psu.edu