Html Version of SAS output from exemplar 5 weighting
.
To see programme that was used for it view the SAS program file.


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Modelling with categorical age groups
and plot categorical fit
With continuous age groups
and plot continuous
Getting the predictor and the weights
The MEANS Procedure

Variable Label Minimum Maximum Mean Sum
npop
AyrA_num		 2001 census population estimate
number of respondents		 1.0000000
0		 137.0000000
6.0000000		 22.6077608
0.3339213		 281986.60
4165.00
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The LOGISTIC Procedure

Model Information
Data Set EXEMP5.EX5_WEIGHTING  
Response Variable (Events) AyrA_num number of respondents
Response Variable (Trials) npop 2001 census population estimate
Number of Observations 12473  
Model binary logit  
Optimization Technique Fisher's scoring  
 
Response Profile
Ordered
Value		 Binary Outcome Total
Frequency
1 Event 4165
2 Nonevent 277821.6
 
Class Level Information
Class Value Design Variables
1 2 3 4 5 6 7 8 9 10 11 12
agegrp 1 1 0 0 0 0 0 0 0 0 0 0 0
  2 0 1 0 0 0 0 0 0 0 0 0 0
  3 0 0 1 0 0 0 0 0 0 0 0 0
  4 0 0 0 1 0 0 0 0 0 0 0 0
  5 0 0 0 0 1 0 0 0 0 0 0 0
  6 0 0 0 0 0 1 0 0 0 0 0 0
  7 0 0 0 0 0 0 1 0 0 0 0 0
  8 0 0 0 0 0 0 0 1 0 0 0 0
  9 0 0 0 0 0 0 0 0 1 0 0 0
  10 0 0 0 0 0 0 0 0 0 1 0 0
  11 0 0 0 0 0 0 0 0 0 0 1 0
  12 0 0 0 0 0 0 0 0 0 0 0 1
  13 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1
gender F 1                      
  M -1                      
 
Model Convergence Status
Convergence criterion (GCONV=1E-8) satisfied.
 
Model Fit Statistics
Criterion Intercept
Only 		Intercept
and
Covariates
AIC 43382.320 42880.063
SC 43392.870 43302.048
-2 Log L 43380.320 42800.063
 
Testing Global Null Hypothesis: BETA=0
Test Chi-Square DF Pr > ChiSq
Likelihood Ratio 580.2574 39 <.0001
Score 593.1310 39 <.0001
Wald 553.9269 39 <.0001
 
Type III Analysis of Effects
Effect DF Wald
Chi-Square		 Pr > ChiSq
agegrp 12 86.7719 <.0001
gender 1 10.8543 0.0010
agegrp*gender 12 91.7986 <.0001
sinc*agegrp 12 25.8603 0.0112
sacc 1 3.9165 0.0478
sinc 1 82.8782 <.0001
 
Analysis of Maximum Likelihood Estimates
Parameter     DF Estimate Standard
Error		 Wald
Chi-Square		 Pr > ChiSq
Intercept     1 -3.9857 0.0296 18112.8045 <.0001
agegrp 1   1 0.000578 0.1170 0.0000 0.9961
agegrp 2   1 -0.5018 0.1275 15.4931 <.0001
agegrp 3   1 -0.0605 0.1092 0.3067 0.5797
agegrp 4   1 -0.2187 0.1016 4.6296 0.0314
agegrp 5   1 -0.3505 0.0974 12.9403 0.0003
agegrp 6   1 -0.0553 0.0850 0.4231 0.5154
agegrp 7   1 -0.0456 0.0857 0.2832 0.5946
agegrp 8   1 -0.1742 0.0841 4.2946 0.0382
agegrp 9   1 0.0731 0.0874 0.6986 0.4033
agegrp 10   1 0.2539 0.0857 8.7880 0.0030
agegrp 11   1 0.2181 0.0919 5.6336 0.0176
agegrp 12   1 0.3675 0.0939 15.3084 <.0001
gender F   1 0.0541 0.0164 10.8543 0.0010
agegrp*gender 1 F 1 0.2666 0.0727 13.4552 0.0002
agegrp*gender 2 F 1 0.1459 0.0722 4.0839 0.0433
agegrp*gender 3 F 1 0.0832 0.0619 1.8075 0.1788
agegrp*gender 4 F 1 0.0902 0.0589 2.3470 0.1255
agegrp*gender 5 F 1 0.1895 0.0580 10.6821 0.0011
agegrp*gender 6 F 1 0.0516 0.0508 1.0328 0.3095
agegrp*gender 7 F 1 -0.0284 0.0508 0.3114 0.5768
agegrp*gender 8 F 1 -0.0201 0.0494 0.1660 0.6837
agegrp*gender 9 F 1 -0.0278 0.0511 0.2971 0.5857
agegrp*gender 10 F 1 -0.0492 0.0489 1.0109 0.3147
agegrp*gender 11 F 1 -0.1265 0.0513 6.0936 0.0136
agegrp*gender 12 F 1 -0.2304 0.0526 19.2240 <.0001
sinc*agegrp 1   1 -0.0267 0.00714 13.9919 0.0002
sinc*agegrp 2   1 0.00452 0.00628 0.5178 0.4718
sinc*agegrp 3   1 -0.00795 0.00581 1.8729 0.1711
sinc*agegrp 4   1 -0.00697 0.00558 1.5623 0.2113
sinc*agegrp 5   1 -0.00108 0.00531 0.0417 0.8383
sinc*agegrp 6   1 0.000259 0.00474 0.0030 0.9564
sinc*agegrp 7   1 0.00423 0.00482 0.7716 0.3797
sinc*agegrp 8   1 0.0108 0.00455 5.6145 0.0178
sinc*agegrp 9   1 0.00133 0.00496 0.0720 0.7884
sinc*agegrp 10   1 0.00354 0.00463 0.5864 0.4438
sinc*agegrp 11   1 0.00503 0.00492 1.0470 0.3062
sinc*agegrp 12   1 0.00457 0.00504 0.8204 0.3651
sacc     1 0.0469 0.0237 3.9165 0.0478
sinc     1 -0.0147 0.00161 82.8782 <.0001
 
Odds Ratio Estimates
Effect Point Estimate 95% Wald
Confidence Limits
sacc 1.048 1.000 1.098
 
Association of Predicted Probabilities and Observed
Responses
Percent Concordant 54.6 Somers' D 0.203
Percent Discordant 34.3 Gamma 0.228
Percent Tied 11.0 Tau-a 0.006
Pairs 1157126964 c 0.601
 
The SAS System

The LOGISTIC Procedure

Model Information
Data Set WORK.NEW  
Response Variable (Events) AyrA_num number of respondents
Response Variable (Trials) npop 2001 census population estimate
Number of Observations 12473  
Model binary logit  
Optimization Technique Fisher's scoring  
 
Response Profile
Ordered
Value		 Binary Outcome Total
Frequency
1 Event 4165
2 Nonevent 277821.6
 
Class Level Information
Class Value Design Variables
1 2 3 4 5 6 7 8 9 10 11 12
agegrp 1 1 0 0 0 0 0 0 0 0 0 0 0
  2 0 1 0 0 0 0 0 0 0 0 0 0
  3 0 0 1 0 0 0 0 0 0 0 0 0
  4 0 0 0 1 0 0 0 0 0 0 0 0
  5 0 0 0 0 1 0 0 0 0 0 0 0
  6 0 0 0 0 0 1 0 0 0 0 0 0
  7 0 0 0 0 0 0 1 0 0 0 0 0
  8 0 0 0 0 0 0 0 1 0 0 0 0
  9 0 0 0 0 0 0 0 0 1 0 0 0
  10 0 0 0 0 0 0 0 0 0 1 0 0
  11 0 0 0 0 0 0 0 0 0 0 1 0
  12 0 0 0 0 0 0 0 0 0 0 0 1
  13 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1
gender F 1                      
  M -1                      
sinc 1 1 0 0 0                
  2 0 1 0 0                
  3 0 0 1 0                
  4 0 0 0 1                
  5 -1 -1 -1 -1                
 
Model Convergence Status
Convergence criterion (GCONV=1E-8) satisfied.
 
Model Fit Statistics
Criterion Intercept
Only 		Intercept
and
Covariates
AIC 43382.320 42881.843
SC 43392.870 43346.026
-2 Log L 43380.320 42793.843
 
Testing Global Null Hypothesis: BETA=0
Test Chi-Square DF Pr > ChiSq
Likelihood Ratio 586.4772 43 <.0001
Score 599.1308 43 <.0001
Wald 559.0707 43 <.0001
 
Type III Analysis of Effects
Effect DF Wald
Chi-Square		 Pr > ChiSq
agegrp 12 86.6923 <.0001
gender 1 10.8204 0.0010
agegrp*gender 12 91.7326 <.0001
sincl*agegrp 12 25.8254 0.0114
sacc 1 4.4277 0.0354
sinc 4 6.2273 0.1828
sincl 1 19.2762 <.0001
 
Analysis of Maximum Likelihood Estimates
Parameter     DF Estimate Standard
Error		 Wald
Chi-Square		 Pr > ChiSq
Intercept     1 -3.8611 0.0850 2065.7619 <.0001
agegrp 1   1 0.000812 0.1172 0.0000 0.9945
agegrp 2   1 -0.5036 0.1280 15.4867 <.0001
agegrp 3   1 -0.0610 0.1094 0.3105 0.5774
agegrp 4   1 -0.2188 0.1018 4.6226 0.0316
agegrp 5   1 -0.3503 0.0976 12.8870 0.0003
agegrp 6   1 -0.0559 0.0852 0.4305 0.5118
agegrp 7   1 -0.0460 0.0859 0.2867 0.5923
agegrp 8   1 -0.1751 0.0843 4.3172 0.0377
agegrp 9   1 0.0735 0.0875 0.7058 0.4008
agegrp 10   1 0.2552 0.0858 8.8415 0.0029
agegrp 11   1 0.2186 0.0921 5.6335 0.0176
agegrp 12   1 0.3678 0.0942 15.2565 <.0001
gender F   1 0.0540 0.0164 10.8204 0.0010
agegrp*gender 1 F 1 0.2665 0.0727 13.4453 0.0002
agegrp*gender 2 F 1 0.1458 0.0722 4.0757 0.0435
agegrp*gender 3 F 1 0.0829 0.0619 1.7969 0.1801
agegrp*gender 4 F 1 0.0904 0.0589 2.3562 0.1248
agegrp*gender 5 F 1 0.1894 0.0580 10.6649 0.0011
agegrp*gender 6 F 1 0.0516 0.0508 1.0344 0.3091
agegrp*gender 7 F 1 -0.0283 0.0508 0.3088 0.5784
agegrp*gender 8 F 1 -0.0200 0.0494 0.1633 0.6861
agegrp*gender 9 F 1 -0.0278 0.0511 0.2965 0.5861
agegrp*gender 10 F 1 -0.0491 0.0489 1.0051 0.3161
agegrp*gender 11 F 1 -0.1267 0.0513 6.1071 0.0135
agegrp*gender 12 F 1 -0.2306 0.0526 19.2544 <.0001
sincl*agegrp 1   1 -0.0268 0.00715 14.0226 0.0002
sincl*agegrp 2   1 0.00459 0.00632 0.5279 0.4675
sincl*agegrp 3   1 -0.00794 0.00582 1.8582 0.1728
sincl*agegrp 4   1 -0.00698 0.00559 1.5609 0.2115
sincl*agegrp 5   1 -0.00111 0.00532 0.0435 0.8347
sincl*agegrp 6   1 0.000302 0.00475 0.0040 0.9494
sincl*agegrp 7   1 0.00421 0.00483 0.7578 0.3840
sincl*agegrp 8   1 0.0108 0.00456 5.6280 0.0177
sincl*agegrp 9   1 0.00133 0.00496 0.0722 0.7882
sincl*agegrp 10   1 0.00347 0.00464 0.5596 0.4544
sincl*agegrp 11   1 0.00504 0.00493 1.0457 0.3065
sincl*agegrp 12   1 0.00459 0.00506 0.8246 0.3638
sacc     1 0.0504 0.0240 4.4277 0.0354
sinc 1   1 -0.0971 0.0725 1.7945 0.1804
sinc 2   1 -0.0779 0.0492 2.5034 0.1136
sinc 3   1 0.0214 0.0317 0.4555 0.4997
sinc 4   1 -0.0124 0.0418 0.0876 0.7673
sincl     1 -0.0222 0.00505 19.2762 <.0001
 
Odds Ratio Estimates
Effect Point Estimate 95% Wald
Confidence Limits
sacc 1.052 1.003 1.102
sinc 1 vs 5 0.769 0.564 1.049
sinc 2 vs 5 0.784 0.604 1.017
sinc 3 vs 5 0.865 0.707 1.059
sinc 4 vs 5 0.837 0.716 0.977
 
Association of Predicted Probabilities and Observed
Responses
Percent Concordant 54.6 Somers' D 0.201
Percent Discordant 34.5 Gamma 0.226
Percent Tied 10.9 Tau-a 0.006
Pairs 1157126964 c 0.601
 
The SAS System

The LOGISTIC Procedure

Model Information
Data Set WORK.NEW  
Response Variable (Events) AyrA_num number of respondents
Response Variable (Trials) npop 2001 census population estimate
Number of Observations 12473  
Model binary logit  
Optimization Technique Fisher's scoring  
 
Response Profile
Ordered
Value		 Binary Outcome Total
Frequency
1 Event 4165
2 Nonevent 277821.6
 
Class Level Information
Class Value Design Variables
1 2 3 4 5 6 7 8 9 10 11 12
agegrp 1 1 0 0 0 0 0 0 0 0 0 0 0
  2 0 1 0 0 0 0 0 0 0 0 0 0
  3 0 0 1 0 0 0 0 0 0 0 0 0
  4 0 0 0 1 0 0 0 0 0 0 0 0
  5 0 0 0 0 1 0 0 0 0 0 0 0
  6 0 0 0 0 0 1 0 0 0 0 0 0
  7 0 0 0 0 0 0 1 0 0 0 0 0
  8 0 0 0 0 0 0 0 1 0 0 0 0
  9 0 0 0 0 0 0 0 0 1 0 0 0
  10 0 0 0 0 0 0 0 0 0 1 0 0
  11 0 0 0 0 0 0 0 0 0 0 1 0
  12 0 0 0 0 0 0 0 0 0 0 0 1
  13 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1
gender F 1                      
  M -1                      
 
Model Convergence Status
Convergence criterion (GCONV=1E-8) satisfied.
 
Model Fit Statistics
Criterion Intercept
Only 		Intercept
and
Covariates
AIC 43382.320 42880.576
SC 43392.870 43313.111
-2 Log L 43380.320 42798.576
 
Testing Global Null Hypothesis: BETA=0
Test Chi-Square DF Pr > ChiSq
Likelihood Ratio 581.7441 40 <.0001
Score 593.1368 40 <.0001
Wald 552.4290 40 <.0001
 
Type III Analysis of Effects
Effect DF Wald
Chi-Square		 Pr > ChiSq
agegrp 12 84.9707 <.0001
gender 1 10.8367 0.0010
agegrp*gender 12 91.8833 <.0001
sincl*agegrp 12 25.8876 0.0111
sacc 1 4.3234 0.0376
sinc 1 4.6818 0.0305
sinc2 1 1.4579 0.2273
 
Analysis of Maximum Likelihood Estimates
Parameter     DF Estimate Standard
Error		 Wald
Chi-Square		 Pr > ChiSq
Intercept     1 -4.0192 0.0406 9804.4730 <.0001
agegrp 1   1 0.00789 0.1180 0.0045 0.9467
agegrp 2   1 -0.5080 0.1288 15.5516 <.0001
agegrp 3   1 -0.0617 0.1102 0.3137 0.5754
agegrp 4   1 -0.2175 0.1025 4.5010 0.0339
agegrp 5   1 -0.3495 0.0983 12.6564 0.0004
agegrp 6   1 -0.0534 0.0857 0.3875 0.5336
agegrp 7   1 -0.0433 0.0865 0.2511 0.6163
agegrp 8   1 -0.1751 0.0848 4.2634 0.0389
agegrp 9   1 0.0752 0.0882 0.7275 0.3937
agegrp 10   1 0.2531 0.0864 8.5810 0.0034
agegrp 11   1 0.2160 0.0928 5.4227 0.0199
agegrp 12   1 0.3649 0.0948 14.8182 0.0001
gender F   1 0.0540 0.0164 10.8367 0.0010
agegrp*gender 1 F 1 0.2666 0.0727 13.4572 0.0002
agegrp*gender 2 F 1 0.1456 0.0722 4.0676 0.0437
agegrp*gender 3 F 1 0.0834 0.0619 1.8184 0.1775
agegrp*gender 4 F 1 0.0904 0.0589 2.3560 0.1248
agegrp*gender 5 F 1 0.1896 0.0580 10.6976 0.0011
agegrp*gender 6 F 1 0.0518 0.0508 1.0389 0.3081
agegrp*gender 7 F 1 -0.0281 0.0508 0.3062 0.5800
agegrp*gender 8 F 1 -0.0201 0.0494 0.1659 0.6837
agegrp*gender 9 F 1 -0.0281 0.0511 0.3034 0.5818
agegrp*gender 10 F 1 -0.0493 0.0489 1.0134 0.3141
agegrp*gender 11 F 1 -0.1266 0.0513 6.0981 0.0135
agegrp*gender 12 F 1 -0.2306 0.0526 19.2439 <.0001
sincl*agegrp 1   1 -0.0272 0.00723 14.1308 0.0002
sincl*agegrp 2   1 0.00492 0.00638 0.5952 0.4404
sincl*agegrp 3   1 -0.00790 0.00589 1.8025 0.1794
sincl*agegrp 4   1 -0.00707 0.00565 1.5663 0.2107
sincl*agegrp 5   1 -0.00113 0.00537 0.0444 0.8331
sincl*agegrp 6   1 0.000201 0.00480 0.0017 0.9667
sincl*agegrp 7   1 0.00414 0.00488 0.7198 0.3962
sincl*agegrp 8   1 0.0109 0.00461 5.5954 0.0180
sincl*agegrp 9   1 0.00120 0.00502 0.0574 0.8107
sincl*agegrp 10   1 0.00359 0.00469 0.5874 0.4434
sincl*agegrp 11   1 0.00511 0.00498 1.0539 0.3046
sincl*agegrp 12   1 0.00469 0.00511 0.8425 0.3587
sacc     1 0.0494 0.0238 4.3234 0.0376
sinc     1 -0.00965 0.00446 4.6818 0.0305
sinc2     1 -0.00013 0.000105 1.4579 0.2273
 
Odds Ratio Estimates
Effect Point Estimate 95% Wald
Confidence Limits
sacc 1.051 1.003 1.101
sinc 0.990 0.982 0.999
sinc2 1.000 1.000 1.000
 
Association of Predicted Probabilities and Observed
Responses
Percent Concordant 54.5 Somers' D 0.202
Percent Discordant 34.3 Gamma 0.228
Percent Tied 11.1 Tau-a 0.006
Pairs 1157126964 c 0.601
 
The SAS System

The LOGISTIC Procedure

Model Information
Data Set WORK.NEW  
Response Variable (Events) AyrA_num number of respondents
Response Variable (Trials) npop 2001 census population estimate
Number of Observations 12473  
Model binary logit  
Optimization Technique Fisher's scoring  
 
Response Profile
Ordered
Value		 Binary Outcome Total
Frequency
1 Event 4165
2 Nonevent 277821.6

  130 observations were deleted due to missing values for the response or explanatory variables.

 

Class Level Information
Class Value Design Variables
1 2 3 4 5 6 7 8 9 10 11 12
agegrp 1 1 0 0 0 0 0 0 0 0 0 0 0
  2 0 1 0 0 0 0 0 0 0 0 0 0
  3 0 0 1 0 0 0 0 0 0 0 0 0
  4 0 0 0 1 0 0 0 0 0 0 0 0
  5 0 0 0 0 1 0 0 0 0 0 0 0
  6 0 0 0 0 0 1 0 0 0 0 0 0
  7 0 0 0 0 0 0 1 0 0 0 0 0
  8 0 0 0 0 0 0 0 1 0 0 0 0
  9 0 0 0 0 0 0 0 0 1 0 0 0
  10 0 0 0 0 0 0 0 0 0 1 0 0
  11 0 0 0 0 0 0 0 0 0 0 1 0
  12 0 0 0 0 0 0 0 0 0 0 0 1
  13 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1
gender F 1                      
  M -1                      
 
Model Convergence Status
Convergence criterion (GCONV=1E-8) satisfied.
 
Model Fit Statistics
Criterion Intercept
Only 		Intercept
and
Covariates
AIC 43382.320 42880.063
SC 43392.870 43302.048
-2 Log L 43380.320 42800.063
 
Testing Global Null Hypothesis: BETA=0
Test Chi-Square DF Pr > ChiSq
Likelihood Ratio 580.2574 39 <.0001
Score 593.1310 39 <.0001
Wald 553.9269 39 <.0001
 
Type III Analysis of Effects
Effect DF Wald
Chi-Square		 Pr > ChiSq
agegrp 12 86.7719 <.0001
gender 1 10.8543 0.0010
agegrp*gender 12 91.7986 <.0001
sinc*agegrp 12 25.8603 0.0112
sacc 1 3.9165 0.0478
sinc 1 82.8782 <.0001
 
Analysis of Maximum Likelihood Estimates
Parameter     DF Estimate Standard
Error		 Wald
Chi-Square		 Pr > ChiSq
Intercept     1 -3.9857 0.0296 18112.8045 <.0001
agegrp 1   1 0.000578 0.1170 0.0000 0.9961
agegrp 2   1 -0.5018 0.1275 15.4931 <.0001
agegrp 3   1 -0.0605 0.1092 0.3067 0.5797
agegrp 4   1 -0.2187 0.1016 4.6296 0.0314
agegrp 5   1 -0.3505 0.0974 12.9403 0.0003
agegrp 6   1 -0.0553 0.0850 0.4231 0.5154
agegrp 7   1 -0.0456 0.0857 0.2832 0.5946
agegrp 8   1 -0.1742 0.0841 4.2946 0.0382
agegrp 9   1 0.0731 0.0874 0.6986 0.4033
agegrp 10   1 0.2539 0.0857 8.7880 0.0030
agegrp 11   1 0.2181 0.0919 5.6336 0.0176
agegrp 12   1 0.3675 0.0939 15.3084 <.0001
gender F   1 0.0541 0.0164 10.8543 0.0010
agegrp*gender 1 F 1 0.2666 0.0727 13.4552 0.0002
agegrp*gender 2 F 1 0.1459 0.0722 4.0839 0.0433
agegrp*gender 3 F 1 0.0832 0.0619 1.8075 0.1788
agegrp*gender 4 F 1 0.0902 0.0589 2.3470 0.1255
agegrp*gender 5 F 1 0.1895 0.0580 10.6821 0.0011
agegrp*gender 6 F 1 0.0516 0.0508 1.0328 0.3095
agegrp*gender 7 F 1 -0.0284 0.0508 0.3114 0.5768
agegrp*gender 8 F 1 -0.0201 0.0494 0.1660 0.6837
agegrp*gender 9 F 1 -0.0278 0.0511 0.2971 0.5857
agegrp*gender 10 F 1 -0.0492 0.0489 1.0109 0.3147
agegrp*gender 11 F 1 -0.1265 0.0513 6.0936 0.0136
agegrp*gender 12 F 1 -0.2304 0.0526 19.2240 <.0001
sinc*agegrp 1   1 -0.0267 0.00714 13.9919 0.0002
sinc*agegrp 2   1 0.00452 0.00628 0.5178 0.4718
sinc*agegrp 3   1 -0.00795 0.00581 1.8729 0.1711
sinc*agegrp 4   1 -0.00697 0.00558 1.5623 0.2113
sinc*agegrp 5   1 -0.00108 0.00531 0.0417 0.8383
sinc*agegrp 6   1 0.000259 0.00474 0.0030 0.9564
sinc*agegrp 7   1 0.00423 0.00482 0.7716 0.3797
sinc*agegrp 8   1 0.0108 0.00455 5.6145 0.0178
sinc*agegrp 9   1 0.00133 0.00496 0.0720 0.7884
sinc*agegrp 10   1 0.00354 0.00463 0.5864 0.4438
sinc*agegrp 11   1 0.00503 0.00492 1.0470 0.3062
sinc*agegrp 12   1 0.00457 0.00504 0.8204 0.3651
sacc     1 0.0469 0.0237 3.9165 0.0478
sinc     1 -0.0147 0.00161 82.8782 <.0001
 
Odds Ratio Estimates
Effect Point Estimate 95% Wald
Confidence Limits
sacc 1.048 1.000 1.098
 
Association of Predicted Probabilities and Observed
Responses
Percent Concordant 54.6 Somers' D 0.203
Percent Discordant 34.3 Gamma 0.228
Percent Tied 11.0 Tau-a 0.006
Pairs 1157126964 c 0.601
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Modelling with continuous age

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The LOGISTIC Procedure

Model Information
Data Set WORK.NEW  
Response Variable (Events) AyrA_num number of respondents
Response Variable (Trials) npop 2001 census population estimate
Number of Observations 12473  
Model binary logit  
Optimization Technique Fisher's scoring  
 
Response Profile
Ordered
Value		 Binary Outcome Total
Frequency
1 Event 4165
2 Nonevent 277821.6

  130 observations were deleted due to missing values for the response or explanatory variables.

 

Class Level Information
Class Value Design
Variables
1
gender F 1
  M -1
 
Model Convergence Status
Convergence criterion (GCONV=1E-8) satisfied.
 
Model Fit Statistics
Criterion Intercept
Only 		Intercept
and
Covariates
AIC 43382.320 42861.844
SC 43392.870 42967.340
-2 Log L 43380.320 42841.844
 
Testing Global Null Hypothesis: BETA=0
Test Chi-Square DF Pr > ChiSq
Likelihood Ratio 538.4764 9 <.0001
Score 548.2016 9 <.0001
Wald 518.4962 9 <.0001
 
Type III Analysis of Effects
Effect DF Wald
Chi-Square		 Pr > ChiSq
agegrp 1 2.5496 0.1103
gender 1 12.3434 0.0004
agegrp*gender 1 0.0416 0.8383
agegrp*sinc 1 6.3632 0.0117
agegrp*agegrp 1 12.1040 0.0005
agegrp*agegrp*gender 1 3.4656 0.0627
agegrp*agegrp*sinc 1 3.1579 0.0756
sacc 1 3.8584 0.0495
sinc 1 28.3070 <.0001
 
Analysis of Maximum Likelihood Estimates
Parameter   DF Estimate Standard
Error		 Wald
Chi-Square		 Pr > ChiSq
Intercept   1 -4.1032 0.1161 1248.0524 <.0001
agegrp   1 -0.0552 0.0346 2.5496 0.1103
gender F 1 0.2400 0.0683 12.3434 0.0004
agegrp*gender F 1 -0.00413 0.0203 0.0416 0.8383
agegrp*sinc   1 0.00484 0.00192 6.3632 0.0117
agegrp*agegrp   1 0.00806 0.00232 12.1040 0.0005
agegrp*agegrp*gender F 1 -0.00251 0.00135 3.4656 0.0627
agegrp*agegrp*sinc   1 -0.00023 0.000128 3.1579 0.0756
sacc   1 0.0465 0.0237 3.8584 0.0495
sinc   1 -0.0343 0.00644 28.3070 <.0001
 
Odds Ratio Estimates
Effect Point Estimate 95% Wald
Confidence Limits
sacc 1.048 1.000 1.097
 
Association of Predicted Probabilities and Observed
Responses
Percent Concordant 54.1 Somers' D 0.195
Percent Discordant 34.6 Gamma 0.220
Percent Tied 11.3 Tau-a 0.006
Pairs 1157126964 c 0.597
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the MEANS Procedure not much to show here

Variable Mean Maximum Minimum Sum
avweight
gweight		 1.0033002
67.6898140		 5.2458383
353.9218092		 0.3725794
25.1368709		 4178.75
281928.08