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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: Is the opposite of the null Hypothesis Challenges the status quo Never contains just the = sign Is generally the Hypothesis that is believed to be true bythe researcherOne and Two Sided Tests Hypothesis tests can b

One-Way ANOVA •Simplest case is for One-Way (Single Factor) ANOVA The outcome variable is the variable you’re comparing The factor variable is the categorical variable being used to define the groups-We will assume k samples (groups) The one-way is because each value is classified in exactly one way •ANOVA easily generalizes to more factors

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