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Lecture 7: Hypothesis Testing and ANOVA

Lecture 7: HypothesisTesting and ANOVAG oals Introduction to ANOVA Review of common one and two sample tests Overview of key elements of Hypothesis testingHypothesis Testing The intent of Hypothesis Testing is formally examine twoopposing conjectures (hypotheses), H0 and HA These two hypotheses are mutually exclusive andexhaustive so that one is true to the exclusion of theother We accumulate evidence - collect and analyze sampleinformation - for the purpose of determining which ofthe two hypotheses is true and which of the twohypotheses is falseThe Null and Alternative Hypothesis States the assumption (numerical) to be tested Begin with the assumption that the null Hypothesis is TRUE Always contains the = signThe null Hypothesis , H0:The alternative Hypothesis , Ha: I

•Calculate a test statistic in the sample data that is ... candidate gene. We then divide these N individuals into ... Sum of MS F Squares Source of df Variation! SST G k"1! SST E N"k! SST G k"1 SST E N"k. Non-Parametric Alternative • Kruskal-Wallis …

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