26 Review - Final Review Focus Regression ANOVA...

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Final Review Focus Regression, ANOVA, Nonparametric, Categorical, Bayes
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Is a population different from what we might expect? Parametric , Nonparametric •C o m p a r e a m e a n t o s o m e h y p o t h e t i c a l v a l u e ( one sample t-test, sign test ) • Compare a mean of one population to the mean of another ( two sample test , wilcoxon rank-sum ) ( paired t-test , wilcoxon sign-rank ) • Compare several means ( ANOVA , Kruskal-Wallis ) o m p a r e m e a n s ( p r e d i c t i o n s ) a c r o s s a r a n g e o f predictor values ( Regression , Spearman’s Rank Correlation )
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Categorical •G o o d n e s s o f f i t •C o n t i n g e n c y T a b l e Deaths Number Reported 0 109 1 65 2 22 3 3 4 1 Total 200 ¦ ± k i i ii f ff 1 2 2 ˆ ) ˆ ( F Handedness Right Left Male 22 2 Female 38 5 Gender ) , pschisq( - 1 1 1) - 1)(2 - (2 1) - 1)(c - (r ˆ ) ˆ ( 2 11 2 2 XF X ± ¦¦ r i c j ij ij ij f
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Bayesian Approaches •P r i o r * L i k e l i h o o d ~ P o s t e r i o r •N o r m a l * N o r m a l ~ N o r m a l •B e t a * B i n o m i a l ~ B e t a •G a m m a * P o i s s o n ~ G a m m a
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26 Review - Final Review Focus Regression ANOVA...

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