Assessing The Adequacy Of Split-Plot Design Models

Abstract This paper assesses the adequacy of model fit of the split-plot design models that is the whole plot WP sub design model with WP error and the split-plot SP sub design model with SP error using the four measures of adequacy of fit for the WP and SP sub designs proposed by Almimi et al. 3 which are the R2 R2-Adjusted Prediction Error Sum of Square PRESS and R2-Prediction statistics and we proposed five other methods which are the Modeling Efficiency MEF Resistant Coefficient of Determination r2r Mean Square Error MSE Mean Square Error Prediction MSEP and Adequate Precision AP statistics. A 213 replicated two-level SP design and 31 x 42 replicated mixed level SP design were used for computing the measures of model adequacy of fit for each WP and SP sub design models. These measures describe the predictive performance of each WP and SP sub design models.