The Application of Linear Piecewise Regression to Basal Body Temperature Data

✍ Scribed by Rebecca A. Teeter

• Book ID: 102759073
• Publisher: John Wiley and Sons
• Year: 1985
• Tongue: English
• Weight: 800 KB
• Volume: 27
• Category: Article
• ISSN: 0323-3847
• DOI: 10.1002/bimj.4710270707

✦ Synopsis

I n inany situations one wishes to fit a piecewise regression model which enables one to obtain estimates of the join points as well as the slopes and intercepts of the fitted submodels. This study developes a technique for fitting piecewise models to date, which contain meaaurement error in a n independent variable. The technique developed here combines the HUDSON (1966) procedure for estimating parameters in piecewise regression and the WALD (1940) Grouping Technique which obviates the problem of measurement error.

If one assume8 some knowledge of the position of the join point in relation to the data, methodology has been developed to estimate the parameters and study the asymptotic properties of the means and variances of the parameter estimates. However, in the more realistic case, when additional knowledge is limited, it is only possible to obtain the parameter estimates using a n iterative technique (TEETER, 1982).

The general technique for obtaining the join point estimate in the presence of measurement error is presented here and an example is given using dat8 on women's basal body temperature during menstrual cycles.