INTRO STAT THEORY II
INTRO STAT THEORY II STAT 703
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This 2 page Class Notes was uploaded by Shane Marks on Monday October 26, 2015. The Class Notes belongs to STAT 703 at University of South Carolina - Columbia taught by Staff in Fall. Since its upload, it has received 10 views. For similar materials see /class/229670/stat-703-university-of-south-carolina-columbia in Statistics at University of South Carolina - Columbia.
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Date Created: 10/26/15
STAT 703J703 March 6th 2007 Lecz ure 75 lnstruotor Brian Habing Department of Statistics LeConte 203 Telephone 8037773578 Email habingstatsoedu v V m v39 STAT 703J703 BHab1ng Un1V of SC Today 39 Homework 4 39 93 Duality Between Tests and Confidence Intervals 39 921 The pvalue Power of a Test M STAT 703J703 BHabing UniVQfSC fax it Chapter 9 7 Let X1 Xn be a sample from a Poisson distribution Find the likelihood ratio for testing HO 7v7vo versus HA 9v7v1 where kph Explain how to determine a rejection region for a test at level or V xv STAT 703J703 BHabing Univ of SC Chapter 9 8 Show that the test of problem 7 is UMP for H0 9v7v0 versus HA 1 To Consider a sample of size 20 and the null hypothesis 7 1 Find the possible alpha level closest to 005 without going exceeding it and the corresponding rejection region AV Mm STAT 703J703 BHabing Univ of SC quot 93 The Duality of Confidence Intervals and Hypothesis Tests There is a duality between confidence intervals and hypothesis tests A confidence interval is found by inverting a twosided test and viceversa V S A 03 03 b fSC i T T7 J7 BHa in UniVo g 3i Theorem A pg 338 Suppose there is a test of level or for H0 9 90 and let A90acceptance region Then the set C9 XEA9 is a 1001 00 confidence region for 9 V S A 03 03 b U fSC Z T T7 J7 BHa in niVo g 3i