Birthweight (gms) BPDNProp. 0-95049680.721 951-135018800.225 1351-17509750.120 Total762230.341 BPD (Bronchopulmonary Dysplasia) by birth weight Proportion.

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Presentation transcript:

Birthweight (gms) BPDNProp Total 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? Ans: Yes, if exact birthweights rather than birthweight categories are recorded. By fitting a logistic regression model to the dichotomous response BPD.

BPD No BPD Dichotomous Outcomes

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

Dichotomous Outcomes

Logistic regression

Plot of logistic

Maximum likelihood estimation of the parameters

Likelihood Ratio Test

Logistic regression of BPD on birthweight Logit estimates Number of obs = 223 W = (df=1) p value = Log likelihood = BPD | Coef. Std. Err. z P>|z| [95% Conf. Interval] birthwt | _cons |

Logistic regression of BPD on birthweight Logit estimates Number of obs = 223 W = (df=1) p value = Log likelihood = BPD | Odds Ratio Std. Err. z P>|z| [95% Conf. Interval] birthwt |

Birthweight (gms) Obsrvd BPD Fitted BPD N 0-950(750) (1150) (1550) Total223 Observed versus fitted