An Algorithm to Approximate the Fixed-Response Covariates in Logistic Regression Using Smoothing Splines

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Published: Nov 12, 2018
Keywords:
smoothing splines, logistic regression

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Nomchit Kittichotipanit
Department of Applied Statistics, King Mongkut’s Institute of Technology Ladkrabang, Bangkok, Thailand
Robert W. Jernigan
Department of Mathematics and Statistics, American University, Washington D.C., USA.

Abstract

We investigate the use of smoothing splines in logistic regression to estimate the covariate values that yield a fixed response probability, eg. LC50 or LD50. We develop an algorithm for a monotonic spline fit and approximate the resulting probability estimates and the fixed-response covariates. We illustrate our algorithm on data sets from studies of genetic spatial diversity.


Keywords:  smoothing splines, logistic regression


Corresponding author: E-mail : cast@kmitl.ac.th

Article Details

Issue
Vol. 5 No. 1 (2005)
Section
Original Research Articles

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