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Assessing The Adequacy Of Split-Plot Design Models
[Full Text]
AUTHOR(S)
David, I. J., Asiribo, O. E., Dikko, H. G.
KEYWORDS
Key Words: AP, MEF, MSE, MSEP, Model Adequacy, PRESS, R2, R2-Adjusted, R2-Prediction, r2r, SP error, WP error
ABSTRACT
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 2(1+3) 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.
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