3-Hyp testing F02 Lec

# 3-Hyp testing F02 Lec - Fall 2002 1 Hypothesis testing...

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Fall 2002 1 Hypothesis testing INTRODUCTION TO HYPOTHESIS TESTING 1 DECISION MAKING 1.1 SUMMARY OF POSSIBLE OUTCOMES NULL HYPOTHESIS ACCEPT REJECT TRUE CORRECT TYPE I ( " ) FALSE TYPE II ( \$ ) CORRECT 1.2 CORRECT DECISIONS 1.2.1 Null hypothesis is true; we accept 1.2.2 Null hypothesis is false; we reject

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Fall 2002 2 Hypothesis testing 1.3 INCORRECT DECISIONS 1.3.1 TYPE I ERROR 1.3.1.1 null hypothesis is true; we reject it as false 1.3.1.2 probability is called ' " ' 1.3.1.3 known as level of significance 1.3.1.4 determined by researcher 1.3.2 TYPE II ERROR 1.3.2.1 null hypothesis is false; we accept IT as true 1.3.2.2 probability is called ' \$ ' 1.3.2.4 affected by sample size, level of significance ( " ), variance in population, etc.
Fall 2002 3 Hypothesis testing 1.4 INTERACTION OF " and \$ 1.4.1 " is probability of committing a type I error on single sample drawn from population 1.4.2 desirable to keep " as low as possible 1.4.3 BUT as one decreases " , \$ increases 1.4.4 SO one must balance the two types of ‘errors’. 1.5 POWER OF THE TEST 1.5.1 DEFINITION: the power of the test is the probability of detecting a difference if in fact a difference of a given size exists 1.5.2 power of test = 1 - \$

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Fall 2002 4 Hypothesis testing 2 SUMMARY OF STEPS IN HYPOTHESIS TESTING 2.1 state hypothesis 2.1.1 null hypothesis 2.1.2 alternative hypothesis 2.2 select level of significance ( " ) 2.3 select test statistic to be used (t, P 2 , F, etc.) 2.4 compute test statistic and probability for the sample 2.5 statement of statistical conclusion for the test statistic based on stated hypothesis and selected " 2.6 biological interpretation of results
Fall 2002 5 Hypothesis testing

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## This note was uploaded on 05/14/2008 for the course MATH Math 333 taught by Professor Njit during the Spring '08 term at Rutgers.

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3-Hyp testing F02 Lec - Fall 2002 1 Hypothesis testing...

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