Physical Sciences and Mathematics Commons^™

A Bayesian Random Coefficient Nonlinear Regression Model For A Split-Plot Experiment, Reid D. Landes, Trey Spencer, Ian A. Zelaya

Conference on Applied Statistics in Agriculture

In random coefficients regression, we are often interested in the mean of a certain para-meter particular to the experimental unit (EU). When the mean depends on some treatment regimen, we are then interested in comparing the means among the different treatments. When the EUs are repeatedly measured on a variable containing information about the EU parameter, a standard procedure is to estimate each EU parameter and treat the estimates as the response variables. This is especially true when the regression model for an EU is non-linear. Often, for designed experiments with a factorial treatment structure, the estimated EU parameters are …