This preview shows pages 1–9. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: Outline Specification of a Test Procedure Nonparametric Tests Lecture 26 Chapter 9: Testing of Hypotheses Michael Akritas Michael Akritas Lecture 26 Chapter 9: Testing of Hypotheses Outline Specification of a Test Procedure Nonparametric Tests Specification of a Test Procedure Type I and Type II Errors The Philosophy for Choosing a Rejection Rule Nonparametric Tests Nonparametric tests for a population mean Nonparametric tests for a population proportion The Sign Test for the Median and Percentiles Michael Akritas Lecture 26 Chapter 9: Testing of Hypotheses Outline Specification of a Test Procedure Nonparametric Tests Type I and Type II Errors The Philosophy for Choosing a Rejection Rule Michael Akritas Lecture 26 Chapter 9: Testing of Hypotheses Outline Specification of a Test Procedure Nonparametric Tests Type I and Type II Errors The Philosophy for Choosing a Rejection Rule I It is possible for the TS to take value in the RR even when H is true. Rejecting H when it is true is called a type I error . Michael Akritas Lecture 26 Chapter 9: Testing of Hypotheses Outline Specification of a Test Procedure Nonparametric Tests Type I and Type II Errors The Philosophy for Choosing a Rejection Rule I It is possible for the TS to take value in the RR even when H is true. Rejecting H when it is true is called a type I error . I The probability of committing type I error is denoted by and is called the level of significance of the test . Michael Akritas Lecture 26 Chapter 9: Testing of Hypotheses Outline Specification of a Test Procedure Nonparametric Tests Type I and Type II Errors The Philosophy for Choosing a Rejection Rule I It is possible for the TS to take value in the RR even when H is true. Rejecting H when it is true is called a type I error . I The probability of committing type I error is denoted by and is called the level of significance of the test . I It is also possible for the value of the TS not to be in the RR even when H a is true. Not rejecting H when it is false is called a type II error . Michael Akritas Lecture 26 Chapter 9: Testing of Hypotheses Outline Specification of a Test Procedure Nonparametric Tests Type I and Type II Errors The Philosophy for Choosing a Rejection Rule I It is possible for the TS to take value in the RR even when H is true. Rejecting H when it is true is called a type I error . I The probability of committing type I error is denoted by and is called the level of significance of the test . I It is also possible for the value of the TS not to be in the RR even when H a is true. Not rejecting H when it is false is called a type II error . I For example, consider testing H : = 28 , 000 vs H a : < 28 , 000 using the RR X < 27 , 000. Then, Michael Akritas Lecture 26 Chapter 9: Testing of Hypotheses Outline Specification of a Test Procedure Nonparametric Tests Type I and Type II Errors The Philosophy for Choosing a Rejection Rule I It is possible for the TS to take value in the RR even when H is true. Rejectingis true....
View
Full
Document
This note was uploaded on 03/19/2009 for the course STAT 401 taught by Professor Akritas during the Spring '00 term at Pennsylvania State University, University Park.
 Spring '00
 Akritas

Click to edit the document details