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Statistical Hypothesis Testing

STAT COE-Report-08-2013 STAT Center of Excellence 2950 Hobson Way Wright-Patterson AFB, OH 45433 Statistical Hypothesis Testing Authored by: Jennifer Kensler, Reviewed by: Laura F reeman, (IDA) Revise d 27 August 20 18 The goal of the STAT COE is to assist in developing rigorous, defensible test strategies to more effectively quantify and characterize system performance and provide information that reduces risk. This and other COE products are available at COE-Report-08-2013 Table of Contents Executive Summary .. 2 Introduction .. 2 Statistical Inference .. 2 An Illustrative Example .. 3 DoD Testing .. 3 Foundations of Hypothesis Testing .. 3 The Null and Alternative Hypotheses .. 3 Type I and Type II Errors .. 4 Performing a Hypothesis Test .. 5 Setting Up the Hypothesis Test .. 5 Analyzing the Data .. 7 Types of Hypothesis Tests .. 8 Hypothesis Testing and Confidence Intervals .. 8 Conclusions .. 9 References .. 9 Appendix .. 10 The One Sample T-Test.

system failure at least 3,000? Statistical hypothesis testing is a vehicle for answering these questions. Care must be taken in setting up the hypothesis test to ensure that the analysis performed addresses the test objective. Too often DoD testing includes “implied” hypothesis tests in which the actual hypotheses are never explicitly stated!

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commons.wvc.edu

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cosmosweb.champlain.edu

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