I understand that this will produce different estimates for the p's.
However, I am getting different estimates for the betas, and (I suppose, resultingly, since the p's have changed) different estimates for the derived parameters (Nhat). The output from the two runs is shown below.
Why should the BetaHats change when I change what covariate value is used to calculate the real parameter values?
Thanks.
Geof
- Code: Select all
###############################################################
############Real parameters based on individual covariate means
###############################################################
95% Confidence Interval
Parameter Beta Standard Error Lower Upper
------------------------- -------------- -------------- -------------- --------------
1: 4.6745410 1.3140477 2.0990076 7.2500745
2: -2.9571125 0.3604325 -3.6635602 -2.2506648
3: -3.4419618 0.3558479 -4.1394237 -2.7444998
4: -4.4183449 0.3361176 -5.0771355 -3.7595543
5: -4.0066890 0.3351355 -4.6635546 -3.3498234
6: -5.2628312 0.3452840 -5.9395879 -4.5860744
7: -2.5904335 0.2142349 -3.0103339 -2.1705330
8: 0.8076679 0.1775000 0.4597679 1.1555679
Following estimates based on unstandardized individual covariate values:
Variable Value
--------- -------------
ISCORE 0.8929224
95% Confidence Interval
Parameter Estimate Standard Error Lower Upper
-------------------------- -------------- -------------- -------------- --------------
1:S 0.9907564 0.0120342 0.8908067 0.9992904
2:Gamma'' 0.0000000 0.0000000 0.0000000 0.0000000 Fixed
3:Gamma' 1.0000000 0.0000000 1.0000000 1.0000000 Fixed
4:p Session 1 0.0965702 0.0254934 0.0568584 0.1593324
5:p Session 1 0.0617584 0.0166029 0.0361806 0.1034770
6:p Session 2 0.0241940 0.0056659 0.0152539 0.0381706
7:p Session 2 0.0360718 0.0083020 0.0228993 0.0563845
8:p Session 2 0.0105435 0.0026330 0.0064556 0.0171753
9:p Session 3 0.0697566 0.0139018 0.0469612 0.1024280
10:p Session 3 0.0000000 0.0000000 0.0000000 0.0000000 Fixed
Estimates of Derived Parameters
95% Confidence Interval
Grp. Sess. N-hat Standard Error Lower Upper
---- ----- -------------- -------------- -------------- --------------
1 1 2397.0312 656.14807 1454.9060 4121.9375
1 2 6998.9307 1659.2802 4469.4735 11132.549
1 3 5189.4694 1067.1460 3508.2399 7769.0834
###################################################################
############Real parameters based on user-specified covariate value
###################################################################
95% Confidence Interval
Parameter Beta Standard Error Lower Upper
------------------------- -------------- -------------- -------------- --------------
1: 5.3851777 3.9293356 -2.3163203 13.086676
2: -2.9567675 0.3604857 -3.6633194 -2.2502156
3: -3.4418077 0.3558982 -4.1393683 -2.7442472
4: -4.4720769 0.3774909 -5.2119590 -3.7321948
5: -4.0618130 0.3775262 -4.8017644 -3.3218616
6: -5.3164922 0.3846588 -6.0704234 -4.5625609
7: -2.6792844 0.2788236 -3.2257788 -2.1327901
8: 0.8140325 0.1780781 0.4649995 1.1630655
Following estimates based on user-specified individual covariate values not standardized:
Variable Value
--------- -------------
ISCORE 2.0000000
95% Confidence Interval
Parameter Estimate Standard Error Lower Upper
-------------------------- -------------- -------------- -------------- --------------
1:S 0.9954369 0.0178482 0.0897803 0.9999979
2:Gamma'' 0.0000000 0.0000000 0.0000000 0.0000000 Fixed
3:Gamma' 1.0000000 0.0000000 1.0000000 1.0000000 Fixed
4:p Session 1 0.2093741 0.0521940 0.1249143 0.3294418
5:p Session 1 0.1401864 0.0373712 0.0815528 0.2304005
6:p Session 2 0.0549917 0.0142444 0.0328866 0.0905636
7:p Session 2 0.0806352 0.0203197 0.0487543 0.1305032
8:p Session 2 0.0244010 0.0067544 0.0141396 0.0417938
9:p Session 3 0.0642069 0.0167529 0.0382071 0.1059504
10:p Session 3 0.0000000 0.0000000 0.0000000 0.0000000 Fixed
Estimates of Derived Parameters
Population Estimates of {iscore, logit, cols deleted iscore12 deleted, real pars from changed values}
95% Confidence Interval
Grp. Sess. N-hat Standard Error Lower Upper
---- ----- -------------- -------------- -------------- --------------
1 1 2388.2179 652.57728 1450.8754 4103.1780
1 2 7337.9085 2061.8709 4333.0004 12686.916
1 3 5638.0271 1498.7507 3418.1818 9470.2480