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- Determining which to use: Exp(est) or Odds ratio

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Posted 02-12-2020 10:50 AM
(2675 views)

Hello,

I am trying to understand what makes the most sense in interpreting Odds Ratios for the following output. I know that the odds ratio and exp(estimate) are the same when reference groups are defined and the param=ref is used. But what about using effect coding: then the results are different . I'm unsure of which ones to report. I'm inclined to use the ddds ratio results but need to better understand the interpretation of the effect coding on exp(est). Any clarification would be most helpful. Thank you.

proc logistic data=temp;

class age(ref="40 and over") race (ref="White") gender(ref="M")/param=ref */param=effect*/;

model counseling (event="Yes")=age gender race;/expb cl;

Analysis of Maximum Likelihood EstimatesParameter DF Estimate StandardError WaldChi-Square Pr > ChiSq Exp(Est)Intercept age <40gender FRace African AmericanRace Other

1 | -2.1228 | 0.7001 | 9.1955 | 0.0024 | 0.120 |

1 | 1.3605 | 0.3544 | 14.7401 | 0.0001 | 3.898 |

1 | 0.8608 | 0.3649 | 5.5666 | 0.0183 | 2.365 |

1 | -0.4210 | 0.6152 | 0.4683 | 0.4938 | 0.656 |

1 | -0.0548 | 0.5328 | 0.0106 | 0.9181 | 0.947 |

SAS Output

Odds Ratio EstimatesEffect Point Estimate 95% WaldConfidence Limitsage <40 vs 40 and overgender F vs MRace African American vs WhiteRacen Other vs White

15.195 | 3.788 | 60.950 |

5.594 | 1.338 | 23.381 |

0.408 | 0.065 | 2.550 |

0.588 | 0.130 | 2.653 |

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Report the Odds ratio, because if you have trouble understanding it assume your audience will as well.

As to the interpretation for effect coding, even I have to write out the formula's each time I use it to verify it again so I have to look it up each time as well.

As to the interpretation for effect coding, even I have to write out the formula's each time I use it to verify it again so I have to look it up each time as well.

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Thank you for explanation. It clarified everything!

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