Package: ppwdeming 3.0.1

ppwdeming: Precision Profile Weighted Deming Regression

Weighted Deming regression, also known as 'errors-in-variable' regression, is applied with suitable weights. Weights are modeled via a precision profile; thus the methods implemented here are referred to as precision profile weighted Deming (PWD) regression. The package covers two settings – one where the precision profiles are known either from external studies or from adequate replication of the X and Y readings, and one in which there is a plausible functional form for the precision profiles but the exact (unknown) function must be estimated from the (generally singlicate) readings. The function set includes tools for: estimated standard errors (via jackknifing); standardized-residual analysis function with regression diagnostic tools for normality, linearity and constant variance; and an outlier analysis identifying significant outliers for closer investigation. The following reference provides further information on mathematical derivations and applications. Hawkins, D.M., and J.J. Kraker (2026). 'Precision Profile Weighted Deming Regression for Methods Comparison'. The Journal of Applied Laboratory Medicine 11, 379-392 <doi:10.1093/jalm/jfaf183>. Weighted Deming regression is also now implemented for multiple instruments , as set out in Hawkins, D.M., and J.J. Kraker (2026). 'Multiple Instrument Methods Comparison by Precision weighted Deming Regression', on Arxiv <doi:10.48550/arXiv.2607.11776>. The “multi” functions refer to the multiple instrument analysis, and the "PWD" functions refer to the two-instrument.

Authors:Douglas M. Hawkins [aut, cph], Jessica J. Kraker [aut, cre]