Summary
Screening procedures are used in order to improve the ‘quality’ of individuals retained in some way. In this paper we present a Bayesian predictive approach to screening for binary response data. We discuss its relationship with diagnosis and classification problems. The methods are illustrated by an example of medical screening for Conn’s syndrome.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Aitchison, J. & Begg, C.B. (1976), Statistical diagnosis when basic cases are not classified with certainty, Biometrika 63, 1–12.
Aitchison, J. & Dunsmore, I.R. (1975), Statistical Prediction Analysis, Cambridge : Cambridge University Press.
Anderson, J.A. (1975), Quadratic logistic discrimination, Biometrika 62, 149–154.
Anderson, T.W. (1958), An Introduction to Multivariate Statistical Analysis, New York : Wiley.
Bernardo, J.M. (1983), Bayesian logistic diagnostic distributions, Technical report, Universidad de Valencia.
Boys, R.J. & Dunsmore, I,R. (1986), Screening in a normal model, J.R. Statist.Soc. B 48, 60–69
Boys, R.J. & Dunsmore, I.R. (1987), Diagnostic and sampling models in screening, Biometrika (to appear).
Copas, J.B. (1983). Plotting P against x. Appl.Statist. 32, 25–31.
Dawid, A.P. (1976). Properties of diagnostic data distributions. Biometrics 32, 647–658.
Fisher, R.A. (1936). The use of multiple measurements in taxonomic problems. Ann.Eugen. 7, 179–188.
Geisser, S. (1964). Posterior odds for multivariate normal classifications. J.R. Statist.Soc.B 26, 69–76.
Gnanadesikan, R. (1977). Methods for Statistical Data Analysis of Multivariate Observations. New York : Wiley.
Habbema, J.D.F. & Hilden, J. (1981). The measurement of performance in probabilistic diagnosis IV. Meth.Inform.Med. 20, 80–96.
Habbema, J.D.F., Hilden, J. & Bjerregaard, B. (1978) The measurement of performance in probabilistic diagnosis I. Meth.Inform.Med. 17, 217–226.
Habbema, J.D.F., Hilden, J. & Bjerregaard, B. (1981). The measurement of performance in probabilistic diagnosis V. Meth.Inform.Med. 21, 97–100.
Hand, D.J. (1981) Discrimination and Classification. Chichester : Wiley.
Hilden, J., Habbema, J.D.F. & Bjerregaard, B. (1978a). The measurement of performance in probabilistic diagnosis II. Meth.Inform.Med. 17, 227–237.
Hilden, J., Habbema, J.D.F. & Bjerregaard, B. (1978b). The measurement of performance in probabilistic diagnosis III. Meth.Inform.Med. 17, 238–246.
Titterington, D.M., Murray, G.D., Murray, L.S., Spiegelhalter, D.J., Skene, A.M., Habbema, J.D.F. & Gelpke, G.J. (1981). Comparison of discrimination techniques applied to a complex data set of head injured patients(with discussion). J.R.Statist Soc. A 144, 145–175.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1987 Plenum Press, New York
About this chapter
Cite this chapter
Dunsmore, I.R., Boys, R.J. (1987). Predictive Screening Methods in Binary Response Models. In: Viertl, R. (eds) Probability and Bayesian Statistics. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-1885-9_15
Download citation
DOI: https://doi.org/10.1007/978-1-4613-1885-9_15
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4612-9050-6
Online ISBN: 978-1-4613-1885-9
eBook Packages: Springer Book Archive