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b.lect26

# b.lect26 - Outline Specication of a Test Procedure...

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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

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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

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Outline Specification of a Test Procedure Nonparametric Tests Type I and Type II Errors The Philosophy for Choosing a Rejection Rule It is possible for the TS to take value in the RR even when H 0 is true. Rejecting H 0 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 It is possible for the TS to take value in the RR even when H 0 is true. Rejecting H 0 when it is true is called a type I error . The probability of committing type I error is denoted by α and is called the level of significance of the test . Michael Akritas Lecture 26 Chapter 9: Testing of Hypotheses

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Outline Specification of a Test Procedure Nonparametric Tests Type I and Type II Errors The Philosophy for Choosing a Rejection Rule It is possible for the TS to take value in the RR even when H 0 is true. Rejecting H 0 when it is true is called a type I error . The probability of committing type I error is denoted by α and is called the level of significance of the test . 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 0 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 It is possible for the TS to take value in the RR even when H 0 is true. Rejecting H 0 when it is true is called a type I error . The probability of committing type I error is denoted by α and is called the level of significance of the test . 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 0 when it is false is called a type II error . For example, consider testing H 0 : μ = 28 , 000 vs H a : μ < 28 , 000 using the RR X < 27 , 000. Then, Michael Akritas Lecture 26 Chapter 9: Testing of Hypotheses

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Outline Specification of a Test Procedure Nonparametric Tests Type I and Type II Errors The Philosophy for Choosing a Rejection Rule It is possible for the TS to take value in the RR even when H 0 is true. Rejecting H 0 when it is true is called a type I error .
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• Spring '00
• Akritas
• Type I and type II errors, nonparametric tests, Michael Akritas, Test Procedure Nonparametric, Procedure Nonparametric Tests

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