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BPD (Bronchopulmonary Dysplasia) by birth weight

BPD (Bronchopulmonary Dysplasia) by birth weight. Proportion of BPD decreases with birthweight. Q: Can we give a more precise functional form to the relationship between the probability of having BPD and birthweight?.

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BPD (Bronchopulmonary Dysplasia) by birth weight

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  1. BPD (Bronchopulmonary Dysplasia) by birth weight Proportion of BPD decreases with birthweight.

  2. Q: Can we give a more precise functional form to the relationship between the probability of having BPD and birthweight? Ans: Yes, if exact birthweights rather than birthweight categories are recorded. By fitting a logistic regression model to the dichotomous response BPD.

  3. Dichotomous Outcomes BPD No BPD

  4. Topic 18: Logistic regression In linear regression, continuous Y:

  5. Dichotomous Outcomes

  6. Logistic regression

  7. Plot of logistic

  8. Maximum likelihood estimation of the parameters

  9. Likelihood Ratio Test

  10. Logistic regression of BPD on birthweight Logit estimates Number of obs = 223 W = 62.42 (df=1) p value = 0.0000 Log likelihood = -111.86031 ----------------------------------------------------------------------------------------- BPD | Coef. Std. Err. z P>|z| [95% Conf. Interval] ---------+------------------------------------------------------------------------------- birthwt | -.0042291 .0006409 -6.599 0.000 -.0054852 -.0029731 _cons | 4.034291 .6957847 5.798 0.000 2.670578 5.398004 ------------------------------------------------------------------------------------------

  11. Logistic regression of BPD on birthweight Logit estimates Number of obs = 223 W = 62.42 (df=1) p value = 0.0000 Log likelihood = -111.86031 ------------------------------------------------------------------------------ BPD | Odds Ratio Std. Err. z P>|z| [95% Conf. Interval] ---------+-------------------------------------------------------------------- birthwt | .9957798 .0006381 -6.599 0.000 .9945298 .9970313 ------------------------------------------------------------------------------

  12. Observed versus fitted

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