Homework Assnment Lecture *Bayesian* Estimation *Hypothesis*. Contents Basics Introduction Data analysis steps Kinds of biological variables Probability *Hypothesis* *testing* Confounding variables Tests for nominal variables Exact test of goodness-of-fit Power analysis Chi-square test of goodness-of-fit –test Wilcoxon sned-rank test Tests for multiple measurement variables Linear regression and correlation Spearman rank correlation Polynomial regression Analysis of covariance Multiple regression Simple logistic regression Multiple logistic regression Multiple tests Multiple comparisons Meta-analysis Miscellany Using spreadsheets for statistics Displaying results in graphs Displaying results in tables Introduction to SAS Choosing the rht test value, which is the probability of obtaining the observed results, or something more extreme, if the null *hypothesis* were true. May 15, 2012 GENOME 560, Spring 2012 Su‐In Lee, CSE & GS suinlee@Lecture 5 *Bayesian* Estimation & *Hypothesis* *Testing* 1 Homework Assnment

*Bayesian* *Hypothesis* *Testing* - iSites A statistical *hypothesis* test is a method of statistical inference. *Bayesian* Approach to *Testing*. • What is cumbersome with the Frequentist approach to *hypothesis* *testing*? • p-value the probability of rejecting the null.

*Hypothesis* *Testing* - Definition, Steps, Procedure, Types & Examples Given a model selection problem in which we have to choose between two models, on the basis of observed data D, the plausibility of the two different models M If instead of the Bayes factor integral, the likelihood corresponding to the maximum likelihood estimate of the parameter for each statistical model is used, then the test becomes a classical likelihood-ratio test. **Bayesian** **Hypothesis** **Testing**. **Bayesian** **hypothesis** **testing** works just like any other type of **Bayesian** inference.

Bayesian hypothesis testing:

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