The SAS System 16:23 Thursday, February 10, 2000 1 The FREQ Procedure Table 1 of Muser by Soft Controlling for Brand=M Temp=High Muser Soft Frequency|Hard |Medium |Soft | Total ---------+--------+--------+--------+ N | 30 | 23 | 27 | 80 ---------+--------+--------+--------+ Y | 43 | 47 | 29 | 119 ---------+--------+--------+--------+ Total 73 70 56 199 Table 2 of Muser by Soft Controlling for Brand=M Temp=Low Muser Soft Frequency|Hard |Medium |Soft | Total ---------+--------+--------+--------+ N | 42 | 50 | 53 | 145 ---------+--------+--------+--------+ Y | 52 | 55 | 49 | 156 ---------+--------+--------+--------+ Total 94 105 102 301 Table 3 of Muser by Soft Controlling for Brand=X Temp=High Muser Soft Frequency|Hard |Medium |Soft | Total ---------+--------+--------+--------+ N | 42 | 33 | 29 | 104 ---------+--------+--------+--------+ Y | 24 | 23 | 19 | 66 ---------+--------+--------+--------+ Total 66 56 48 170 Table 4 of Muser by Soft Controlling for Brand=X Temp=Low Muser Soft Frequency|Hard |Medium |Soft | Total ---------+--------+--------+--------+ N | 68 | 66 | 63 | 197 ---------+--------+--------+--------+ Y | 37 | 47 | 57 | 141 ---------+--------+--------+--------+ Total 105 113 120 338 The SAS System 16:23 Thursday, February 10, 2000 2 The GENMOD Procedure Model Information Data Set WORK.DAT Distribution Poisson Link Function Log Dependent Variable Fr Observations Used 24 Class Level Information Class Levels Values Brand 2 M X Temp 2 High Low Muser 2 N Y Soft 3 Hard Medium Soft Criteria For Assessing Goodness Of Fit Criterion DF Value Value/DF Deviance 11 32.8256 2.9841 Scaled Deviance 11 32.8256 2.9841 Pearson Chi-Square 11 32.4694 2.9518 Scaled Pearson X2 11 32.4694 2.9518 Log Likelihood 2802.4716 Algorithm converged. Analysis Of Parameter Estimates Standard Parameter DF Estimate Error Intercept 1 3.9782 0.1020 Brand M 1 -0.0159 0.0630 Brand X 0 0.0000 0.0000 Temp High 1 -0.7922 0.1740 Temp Low 0 0.0000 0.0000 Muser N 1 0.0902 0.1344 Muser Y 0 0.0000 0.0000 Temp*Muser High N 1 0.0640 0.2382 Temp*Muser High Y 0 0.0000 0.0000 Temp*Muser Low N 0 0.0000 0.0000 Temp*Muser Low Y 0 0.0000 0.0000 Soft Hard 1 -0.1748 0.1438 Soft Medium 1 -0.0385 0.1387 Soft Soft 0 0.0000 0.0000 Temp*Soft High Hard 1 0.5083 0.2375 Temp*Soft High Medium 1 0.4158 0.2331 Temp*Soft High Soft 0 0.0000 0.0000 Temp*Soft Low Hard 0 0.0000 0.0000 Temp*Soft Low Medium 0 0.0000 0.0000 Temp*Soft Low Soft 0 0.0000 0.0000 Muser*Soft N Hard 1 0.1217 0.1959 Muser*Soft N Medium 1 0.0385 0.1910 Muser*Soft N Soft 0 0.0000 0.0000 Muser*Soft Y Hard 0 0.0000 0.0000 Muser*Soft Y Medium 0 0.0000 0.0000 Muser*Soft Y Soft 0 0.0000 0.0000 Temp*Muser*Soft High N Hard 1 -0.2039 0.3254 Temp*Muser*Soft High N Medium 1 -0.4158 0.3276 Temp*Muser*Soft High N Soft 0 0.0000 0.0000 Temp*Muser*Soft High Y Hard 0 0.0000 0.0000 Temp*Muser*Soft High Y Medium 0 0.0000 0.0000 Temp*Muser*Soft High Y Soft 0 0.0000 0.0000 Temp*Muser*Soft Low N Hard 0 0.0000 0.0000 Temp*Muser*Soft Low N Medium 0 0.0000 0.0000 Temp*Muser*Soft Low N Soft 0 0.0000 0.0000 Temp*Muser*Soft Low Y Hard 0 0.0000 0.0000 Temp*Muser*Soft Low Y Medium 0 0.0000 0.0000 Temp*Muser*Soft Low Y Soft 0 0.0000 0.0000 Scale 0 1.0000 0.0000 Analysis Of Parameter Estimates Wald 95% Confidence Limits Chi- Parameter Lower Upper Square Intercept 3.7782 4.1782 1520.22 Brand M -0.1393 0.1076 0.06 Brand X 0.0000 0.0000 . Temp High -1.1332 -0.4513 20.74 Temp Low 0.0000 0.0000 . Muser N -0.1732 0.3535 0.45 Muser Y 0.0000 0.0000 . Temp*Muser High N -0.4029 0.5309 0.07 Temp*Muser High Y 0.0000 0.0000 . Temp*Muser Low N 0.0000 0.0000 . Temp*Muser Low Y 0.0000 0.0000 . Soft Hard -0.4566 0.1070 1.48 Soft Medium -0.3103 0.2334 0.08 Soft Soft 0.0000 0.0000 . Temp*Soft High Hard 0.0427 0.9739 4.58 Temp*Soft High Medium -0.0412 0.8727 3.18 Temp*Soft High Soft 0.0000 0.0000 . Temp*Soft Low Hard 0.0000 0.0000 . Temp*Soft Low Medium 0.0000 0.0000 . Temp*Soft Low Soft 0.0000 0.0000 . Muser*Soft N Hard -0.2623 0.5057 0.39 Muser*Soft N Medium -0.3359 0.4128 0.04 Muser*Soft N Soft 0.0000 0.0000 . Muser*Soft Y Hard 0.0000 0.0000 . Muser*Soft Y Medium 0.0000 0.0000 . Muser*Soft Y Soft 0.0000 0.0000 . Temp*Muser*Soft High N Hard -0.8416 0.4339 0.39 Temp*Muser*Soft High N Medium -1.0578 0.2263 1.61 Temp*Muser*Soft High N Soft 0.0000 0.0000 . Temp*Muser*Soft High Y Hard 0.0000 0.0000 . Temp*Muser*Soft High Y Medium 0.0000 0.0000 . Temp*Muser*Soft High Y Soft 0.0000 0.0000 . Temp*Muser*Soft Low N Hard 0.0000 0.0000 . Temp*Muser*Soft Low N Medium 0.0000 0.0000 . Temp*Muser*Soft Low N Soft 0.0000 0.0000 . Temp*Muser*Soft Low Y Hard 0.0000 0.0000 . Temp*Muser*Soft Low Y Medium 0.0000 0.0000 . Temp*Muser*Soft Low Y Soft 0.0000 0.0000 . Scale 1.0000 1.0000 Analysis Of Parameter Estimates Parameter Pr > ChiSq Intercept <.0001 Brand M 0.8011 Brand X . Temp High <.0001 Temp Low . Muser N 0.5023 Muser Y . Temp*Muser High N 0.7882 Temp*Muser High Y . Temp*Muser Low N . Temp*Muser Low Y . Soft Hard 0.2240 Soft Medium 0.7815 Soft Soft . Temp*Soft High Hard 0.0324 Temp*Soft High Medium 0.0745 Temp*Soft High Soft . Temp*Soft Low Hard . Temp*Soft Low Medium . Temp*Soft Low Soft . Muser*Soft N Hard 0.5345 Muser*Soft N Medium 0.8404 Muser*Soft N Soft . Muser*Soft Y Hard . Muser*Soft Y Medium . Muser*Soft Y Soft . Temp*Muser*Soft High N Hard 0.5310 Temp*Muser*Soft High N Medium 0.2044 Temp*Muser*Soft High N Soft . Temp*Muser*Soft High Y Hard . Temp*Muser*Soft High Y Medium . Temp*Muser*Soft High Y Soft . Temp*Muser*Soft Low N Hard . Temp*Muser*Soft Low N Medium . Temp*Muser*Soft Low N Soft . Temp*Muser*Soft Low Y Hard . Temp*Muser*Soft Low Y Medium . Temp*Muser*Soft Low Y Soft . Scale NOTE: The scale parameter was held fixed. LR Statistics For Type 1 Analysis Chi- Source Deviance DF Square Pr > ChiSq Intercept 118.6269 Brand 118.5634 1 0.06 0.8011 Temp 45.3514 1 73.21 <.0001 Muser 43.4301 1 1.92 0.1657 Temp*Muser 42.1770 1 1.25 0.2630 Soft 41.6756 2 0.50 0.7782 Temp*Soft 35.5765 2 6.10 0.0474 Muser*Soft 34.4435 2 1.13 0.5675 Temp*Muser*Soft 32.8256 2 1.62 0.4453 LR Statistics For Type 3 Analysis Chi- Source DF Square Pr > ChiSq Brand 1 0.06 0.8011 Temp 1 73.87 <.0001 Muser 1 1.20 0.2729 Temp*Muser 1 1.17 0.2796 The SAS System 16:23 Thursday, February 10, 2000 3 The GENMOD Procedure LR Statistics For Type 3 Analysis Chi- Source DF Square Pr > ChiSq Soft 2 1.51 0.4712 Temp*Soft 2 6.28 0.0432 Muser*Soft 2 1.70 0.4267 Temp*Muser*Soft 2 1.62 0.4453