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Unformatted text preview: Outline Tests Based on the t-Distribution P-Values Precision in Hypothesis Testing Lecture 27 Chapter 9: Testing of Hypotheses Michael Akritas Michael Akritas Lecture 27 Chapter 9: Testing of Hypotheses Outline Tests Based on the t-Distribution P-Values Precision in Hypothesis Testing Tests Based on the t-Distribution Tests for the mean of a normal population Tests about the Regression Slope Tests about the Regression Line P-Values P-value for a Z-test P-value for a T-test Precision in Hypothesis Testing Calculation of ( a ) Formulas for sample size determination Minitab Implementation Michael Akritas Lecture 27 Chapter 9: Testing of Hypotheses Outline Tests Based on the t-Distribution P-Values Precision in Hypothesis Testing Tests for the mean of a normal population Tests about the Regression Slope Tests about the Regression Line General Formulation Michael Akritas Lecture 27 Chapter 9: Testing of Hypotheses Outline Tests Based on the t-Distribution P-Values Precision in Hypothesis Testing Tests for the mean of a normal population Tests about the Regression Slope Tests about the Regression Line General Formulation As mentioned before, an estimator b of often satisfies, for all n , b - b t , with b the estimated s.e. when sampling from normal populations. Michael Akritas Lecture 27 Chapter 9: Testing of Hypotheses Outline Tests Based on the t-Distribution P-Values Precision in Hypothesis Testing Tests for the mean of a normal population Tests about the Regression Slope Tests about the Regression Line General Formulation As mentioned before, an estimator b of often satisfies, for all n , b - b t , with b the estimated s.e. when sampling from normal populations. In such cases, the TS for testing H : = is T H = b - b t , provided H holds , Michael Akritas Lecture 27 Chapter 9: Testing of Hypotheses Outline Tests Based on the t-Distribution P-Values Precision in Hypothesis Testing Tests for the mean of a normal population Tests about the Regression Slope Tests about the Regression Line General Formulation As mentioned before, an estimator b of often satisfies, for all n , b - b t , with b the estimated s.e. when sampling from normal populations. In such cases, the TS for testing H : = is T H = b - b t , provided H holds , and the RRs are: H a RR at level > T H > t , < T H <- t , 6 = | T H | > t / 2 , Michael Akritas Lecture 27 Chapter 9: Testing of Hypotheses Outline Tests Based on the t-Distribution P-Values Precision in Hypothesis Testing Tests for the mean of a normal population Tests about the Regression Slope Tests about the Regression Line General Formulation As mentioned before, an estimator b of often satisfies, for all n , b - b t , with b the estimated s.e. when sampling from normal populations. In such cases, the TS for testingpopulations....
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b.lect27 - Outline Tests Based on the t-Distribution...

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