GLZ Analysis Wizard Extended Options - Advanced Tab
Select the Quick tab of the GLZ Analysis Wizard Extended Options dialog box to access the options described here.
Estimation. The options in the Estimation group box control various technical details of the iterative estimation procedure.
Element Name | Description |
---|---|
(Parameterization) Sigma-restricted | Select the Sigma-restricted check box to compute the design matrix for categorical predictors in the model based on sigma-restricted coding; if this check box is not selected, the overparameterized model will be used. The sigma-restricted model is the default parameterization, except for models that involve nested effects; see the GLM Introductory Overview topic The sigma-restricted vs. overparameterized model for additional details. |
No intercept | Select the No intercept check box to exclude the intercept from the model. This option is not available, and no intercept is the default, for mixture models (see also Experimental Design for a discussion of designs for mixtures). |
User-def. start values. | Select the User-def. start values check box and then click OK (Run) in the GLZ Analysis Wizard Extended Options dialog box to display the Select Start Values dialog box, in which you can specify start values for the iterative estimation procedure, for each parameter. |
Sweep delta | Enter the negative exponent for a base-10 constant delta (delta = 10-sdelta) in the Sweep delta field; the default value is 7. Delta is used in sweeping, to detect redundant columns in the design matrix. |
Max. iterations. | Enter the maximum number of iterations for the iterative estimation procedure in the Max. iterations box. |
Converge | Enter the value in the Converge box to determine whether the iterative estimation procedure has converged; specifically, the integer value entered into this field is used as the (negative) exponent of a base 10 constant (e.g., if the default value 7 is used, then the constant will evaluate to 10E-7); this constant is then used to check for convergence of the parameter estimation procedure. |
Model building | Use the options in the Model building group box to specify the model building method that you want to use. |
All effects | Select the All effects option button to enter all effects specified in the current design (see Between effects) into the regression equation. |
Forward stepwise, Backward stepwise, Forward entry, Backward removal | Select these option buttons to perform stepwise selection of predictor variables and effects. Forward selection will cause variables to be moved into the model, backward selection will start with a model with all predictor variables and effects in the model, which are then removed. The Forward entry and Backward removal options will only allow for variables or effects to be entered or to be removed, respectively, depending on the chosen method (forward or backward). The Forward stepwise and Backward stepwise options will at each step cause STATISTICA to consider simultaneously the addition or removal of a variable or effect, based on the current specifications of the p1, enter or p2, remove fields. See the p1, enter, p2, remove, and Max steps options below for additional details.
For example, if Forward stepwise is selected, STATISTICA will at each step consider both a step "forward," i.e., entry of another variable or effect into the model (based on the p1, enter ), and a step "backward," i.e., removal of a previously entered variable or effect from the model (based on the p2, remove). The reason the Forward stepwise method usually adds rather than removes variables or effects (i.e., the reason why it is a forward selection method) is because of the required setting of the p1, enter and p2, remove values, which have to be specified so that p1, enter is smaller than the p2, remove, thus guaranteeing that significant predictor variables or effects are entered into the model, and not removed. Most of the widely used algorithms for stepwise selection use the Forward stepwise and Backward stepwise methods. |
Best subset | Select the Best subset option button to perform a search of all possible subsets of effects specified in the current design (see
Between Effects). When this option button is selected, various additional options will become available for steering the search for the best subset; see the Max. subsets, Likelihood score, Likelihood, and Akaike IC options below for details. As discussed in the
Introductory Overview, the total number of all possible subsets (that need to be reviewed by STATISTICA) can become excessively large, when there are many effects in the model, and many large subset sizes are being considered.
Note: p1, enter, p2, remove and Max. steps options. These options are only available when either Forward stepwise (effects can be entered or removed), Backward stepwise (effects can be removed or entered), Forward entry (effects can only be entered, and never be removed), or Backward removal (effects can only be removed, and once removed, never be re-entered into the model) are selected in the Model building group box. These options enable you to steer the stepwise selection procedure; for a description of stepwise model building procedures, refer to the Introductory Overview. |
p1, enter; p2, remove | The stepwise entry or removal of effects into or out of the model is guided by the significance levels (p-values) specified in the p1, enter and p2, remove fields. In Forward stepwise selection, the score statistic is used to select new (significant) effects; while the Wald statistic is used during backward steps (i.e., when effects are selected for removal from the model). Specifically, an effect will be entered into the model if the statistical significance of its contribution to the prediction is better than (i.e., p less than) p1, enter; an effect will be removed from the model if the statistical significance of its contribution is worse than (i.e., p greater than) p2, remove. Thus, in Forward stepwise and Backward stepwise selection, where at each step effects can be entered into or removed from the model, p1, enter must be less than p2, remove, so that effects that are entered are not automatically removed in the next step, or vice versa. The p2, remove value is ignored when Forward entry is selected; the p1, enter value is ignored when Backward removal is selected. |
Max. steps. | In this box, enter the maximum number of steps that is to be performed in the stepwise selection of effects.
Note: Max. subsets, Likelihood score, Likelihood, and Akaike IC options. These options are only available when Best subsets regression was selected in the Model building group box. Note that, as discussed in the
Introductory Overview, the total number of all possible subsets (that need to be reviewed by STATISTICA) can become excessively large, when there are many effects in the model.
|
Max. subsets. | In this box, enter the value to determine the number of subsets that will be displayed in the GLZ Results dialog box. For example, if you specify 10 in this box, then in the Model building spreadsheet (available via the Model building button on the GLZ Results - Summary tab) you can later review the 10 best subsets according to the chosen criterion (see the Likelihood score, Likelihood, and Akaike options below). |
Likelihood score, Likelihood, Akaike IC | The best subset search method can be based on three different test statistics. Select the Likelihood score option button to use the score statistic. Select the Likelihood option button to use the overall model likelihood. Finally, select the Akaike IC option button to use the Akaike information criterion (AIC). Since the evaluation of the score statistic does not require iterative computations, best subset selection based on the score statistic is computationally faster, while the selection based on the other two statistics usually provides more accurate results. |