If a SELECTION= method is requested, the fitted model equation and the statistics displayed in the margin correspond to the selected model. For the ADJRSQ and CP methods, the selected model is treated as a submodel of the full model. If a CP.*NP. plot is requested, the CHOCKING= and CMALLOWS= options display model selection reference lines。
CHOCKING=color
requests reference lines corresponding to the equations and , where is the number of parameters in the full model (excluding the intercept) and is the number of parameters in the subset model (including the intercept). The color must be specified; the line is solid and the line is dashed. Only PLOT statements of the form PLOT CP.*NP. produce these lines.
For the purpose of parameter estimation, Hocking (1976) suggests selecting a model where . For the purpose of prediction, Hocking suggests the criterion . You can request the single reference line with the CMALLOWS= option. If, for example, you specify both CHOCKING=RED and CMALLOWS=BLUE, then the line is red and the line is blue
CMALLOWS=color
requests a reference line, where is the number of parameters (including the intercept) in the subset model. The color must be specified; the line is solid. Only PLOT statements of the form PLOT CP.*NP. produce this line.
Mallows (1973) suggests that all subset models with small and near be considered for further study. See the CHOCKING= option for related model-selection criteria。