Functional data analysis with application to periodically stimulated foetal heart rate data. II: Functional logistic regression

Sarah J. Ratcliffe*, Gillian Z. Heller, Leo R. Leader

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    70 Citations (Scopus)

    Abstract

    We present a basis solution for the modelling of a binary response with a functional covariate plus any number of scalar covariates. This can be thought of as singular longitudinal data analysis as there are more measurements on the functional covariate than subjects in the study. The maximum likelihood parameter estimates are found using a basis expansion and a modified Fisher scoring algorithm. This technique has been extended to model a functional covariate with a repeated stimulus. We used periodically stimulated foetal heart rate tracings to predict the probability of a high risk birth outcome. It was found that these tracings could predict 94.1 per cent of the high risk pregnancies and without the stimulus, the heart rates were no more predictive than chance.

    Original languageEnglish
    Pages (from-to)1115-1127
    Number of pages13
    JournalStatistics in Medicine
    Volume21
    Issue number8
    DOIs
    Publication statusPublished - 30 Apr 2002

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