Resistant measures in assessing the adequacy of split-plot design models

Ikwuoche J. David, Osebekwin E. Asiribo and Hussaini G. Dikko

International Journal of Data Science, 2016, vol. 1, issue 4, 382-396

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 for comparing the effectiveness of resistant measures that use medians instead of means, resulting in a coefficient that is more resistant to outliers or extreme data points. This paper presents empirical application of four measures of model adequacy check and they are coefficient of determination (R²), modelling efficiency (MEF) statistic, prediction coefficient of determination (R²_prod), and mean square error prediction (MSEP). These four measures were explored using their mean and median form. A 2⁽¹⁺³⁾ replicated two-level SP design and a 3¹ × 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 in their median form described the predictive performance of each WP and SP sub-design models adequately.

Keywords: modelling efficiency; mean square error; MSE prediction; whole plot errors; split-plot errors; model adequacy; split-plot design; model fit; resistant measures; medians. (search for similar items in EconPapers)
Date: 2016
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