The arboretum procedure



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       -------------------------------------------------------------

       Group: DISHES*HEAT                         7      0.0310

       Class: DISHES*EDLEVEL                     23      0.0309

       Group: DISHES*EDLEVEL                      6      0.0304

       Class: GENDER*DISHES                      15      0.0300

       Group: GENDER*DISHES                       6      0.0296

       Class: TELIND*DISHES                      13      0.0296

       Class: MOBILE*DISHES                      14      0.0295

       Group: MOBILE*DISHES                       5      0.0292

       Class: DISHES*NUMCARS                     21      0.0292

       Group: TELIND*DISHES                       5      0.0290

       Group: DISHES*NUMCARS                      7      0.0288

       Class: SNGLMOM*DISHES                     13      0.0283

       Group: SNGLMOM*DISHES                      5      0.0279

       Class: DISHES                              9      0.0271

       Group: DISHES                              4      0.0268

       Var:   COATS                               1      0.0228

       AOV16: FLATWARE                           10      0.0221

       Var:   FLATWARE                            1      0.0196    R2 < MINR2

       AOV16: RETURN                              2      0.0195    R2 < MINR2

       Class: NTITLE*RACE                        17      0.0148    R2 < MINR2

       Group: NTITLE*RACE                         6      0.0146    R2 < MINR2

       Var:   RETURN                              1      0.0146    R2 < MINR2

       AOV16: WCOAT                              10      0.0122    R2 < MINR2

       Class: ORIGIN*EDLEVEL                     21      0.0118    R2 < MINR2

       Additional effects are not listed



SS and R2 Portion for Effects Chosen for the Target

As in the Example 1 analysis, the original input LEISURE appears to be the most important predictor of how much a

customer spends. Notice that the remaining chosen effects are either AOV16 variables or group variables.

          SS and R2 portion for Effects chosen for target: AMOUNT

  Effect                             DF        R2            SS           EMS

  -----------------------------------------------------------------------------

  Var:   LEISURE                      1    0.4827     532690709      290726.1

  Group: KITCHEN*LUXURY               5    0.1590     175505155      201879.0

  AOV16: APPAREL                     12    0.1111     122618569      140145.0

  AOV16: DOMESTIC                    15    0.0415    45758285.2      117548.7

  AOV16: WAPPAR                       7    0.0122      13463471      110982.1

  Group: LUXURY*STATECOD              6    0.0096    10557346.7      105827.7

  AOV16: LEISURE                      6    0.0074    8168060.98      101889.8



Final ANOVA Table for the Target

The R-square value of 0.8234 is slightly larger than the 0.7810 value obtained from the initial analysis, which did not

include the AOV16 or group variables.

  

                    The final ANOVA table for target: AMOUNT



                  Effect           DF        R2            SS

                  ------------------------------------------

                  Model           52      0.8234    908761597

                  Error          1913               194915205

                  Total          1965              1103676802

Partial Listing of the SS and R2 portion for Effects Not Chosen for Target

Table

 

          SS and R2 portion for Effects not chosen for target: AMOUNT



         Effect                             DF        R2            SS

         -------------------------------------------------------------

         Group: KITCHEN*STATECOD             7    0.0040       4434939

         Var:   APPAREL                      1    0.0024       2672342

         Var:   DOMESTIC                     1    0.0035       3889555

         AOV16: FREQUENT                    11    0.0031       3395145

         Group: LUXURY*TMKTORD               4    0.0007        811183

         Group: KITCHEN*DISHES               4    0.0012       1286988

         Var:   FREQUENT                     1    0.0007        762668

         Group: MARITAL*KITCHEN              4    0.0011       1159219

         Group: TMKTORD*STATECOD             6    0.0010       1089776

         Group: KITCHEN*TMKTORD              5    0.0017       1880850

         AOV16: DPM12                       11    0.0042       4623270

         Group: NTITLE*KITCHEN               6    0.0009        947581

         Group: KITCHEN*RACE                 5    0.0006        655343

         Group: KITCHEN*EDLEVEL              6    0.0010       1084391

         Group: LUXURY*DISHES                3    0.0002        258116

         Group: LUXURY*RACE                  2    0.0004        419452

         Group: KITCHEN*ORIGIN               6    0.0010       1117402

         Additional effects not listed

 

Copyright 2000 by SAS Institute Inc., Cary, NC, USA. All rights reserved.




 

The USEGROUPS option specifies to retain only the reduced group variables

(the original class variables are not included in the model selection process).

Since the NOAOV16 option was not specified, the AOV16 variables that have

an R-square value less than the MINR2 cutoff are used in the final forward

stepwise regression. Because the NOINTER option is omitted, the two-factor

class interactions are also evaluated in the forward stepwise regression.

           usegroups





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