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Binary and binomial responses

Binary and binomial responses. The response probabilities are modelled as functions of the predictors Link functions: the probit link: the logit link: the log-log link:. Binary and binomial responses. the probit link: the logit link: the log-log link:. Link functions.

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Binary and binomial responses

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  1. Binary and binomial responses The response probabilities are modelled as functions of the predictors Link functions: the probit link: the logit link: the log-log link: Linear statistical models 2008

  2. Binary and binomial responses the probit link: the logit link: the log-log link: Linear statistical models 2008

  3. Link functions Linear statistical models 2008

  4. Probit analysis Linear statistical models 2008

  5. Probit analysis procGENMODdata=linear.rotenone; model Affected/insects=logconc /link=probit dist=bin; run; Linear statistical models 2008

  6. Logit (logistic) regression procGENMODdata=linear.rotenone; model Affected/insects=logconc /link=logit dist=bin; run; Linear statistical models 2008

  7. Multiple logistic regression Model building principles • Significance testing • Forward selection • Backward selection • Stepwise selection • Best subset selection • Cross-validation Linear statistical models 2008

  8. Odds and odds ratios Linear statistical models 2008

  9. Odds ratios procGENMODdata=linear.oddsratio; class smoker; freq frequency; model survived=smoker/link=logit dist=bin; run; Linear statistical models 2008

  10. Odds ratios where x is one for smokers and 0 for non-smokers Linear statistical models 2008

  11. Count data and contingency tables and log-linear models Expected frequency: Log-linear models are models of the log expected frequency (log is used as link function) Linear statistical models 2008

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