ECOG Differential Item Function Summary Results
Results
Summary
This document presents final models and factor score analysis for each minority group and cognitive domain, separately. Cognitive domains include: Divided Attention, Language, Memory, Organizational, Plan, and Visuospatial.
Results include:
Final Model
Compares constrained model to free model
STEP 5:
Generate factor scores from the fully DIF adjusted model (FSdifadj) and from a model with all loadings and thresholds constrained (FSunadj).
Plot (FSdifadj - FSunadj) ~ FSdifadj. This will show the impact of DIF, that is, where (on the ability continuum) and how much estimated ability is biased by DIF.
African American
Divided Attention
Final Model
| param | AA | WHITE | Cons(Free) |
|---|---|---|---|
| Loadings | |||
| EXCONC | 0.923 | 0.923 | Cons |
| EXCOOK | 0.923 | 0.923 | Cons |
| EXRETURN | 0.953 | 0.953 | Cons |
| EXTWO | 0.956 | 0.956 | Cons |
| Threshold | |||
| EXCONC$1 | -0.648 | -0.648 | Cons |
| EXCONC$2 | 0.046 | 0.046 | Cons |
| EXCONC$3 | 0.587 | 0.587 | Cons |
| EXCOOK$1 | -0.326 | -0.510 | Free |
| EXCOOK$2 | 0.255 | 0.119 | Free |
| EXCOOK$3 | 0.613 | 0.578 | Free |
| EXRETURN$1 | -0.664 | -0.664 | Cons |
| EXRETURN$2 | 0.002 | 0.002 | Cons |
| EXRETURN$3 | 0.571 | 0.571 | Cons |
| EXTWO$1 | -0.828 | -0.828 | Cons |
| EXTWO$2 | -0.167 | -0.167 | Cons |
| EXTWO$3 | 0.367 | 0.367 | Cons |
Plot
Plot 1
Plot 2
Language
Final Model
| param | AA | WHITE | Cons(Free) |
|---|---|---|---|
| Loadings | |||
| LCOMM | 0.933 | 0.933 | Cons |
| LMEAN | 0.891 | 0.891 | Cons |
| LOBJ | 0.856 | 0.856 | Cons |
| LPOINT | 0.888 | 0.888 | Cons |
| LPROG | 0.954 | 0.898 | Free |
| LSPOKE | 0.852 | 0.852 | Cons |
| LSTORY | 0.908 | 0.908 | Cons |
| LVERB | 0.911 | 0.911 | Cons |
| LWORDS | 0.914 | 0.914 | Cons |
| VPMAPF | 0.829 | 0.829 | Cons |
| Threshold | |||
| LCOMM$1 | -0.397 | -0.397 | Cons |
| LCOMM$2 | 0.275 | 0.275 | Cons |
| LCOMM$3 | 0.853 | 0.853 | Cons |
| LMEAN$1 | 0.026 | 0.250 | Free |
| LMEAN$2 | 0.622 | 0.933 | Free |
| LMEAN$3 | 1.351 | 1.479 | Free |
| LOBJ$1 | -0.264 | -0.262 | Free |
| LOBJ$2 | 0.328 | 0.527 | Free |
| LOBJ$3 | 1.002 | 1.068 | Free |
| LPOINT$1 | -0.428 | -0.428 | Cons |
| LPOINT$2 | 0.301 | 0.301 | Cons |
| LPOINT$3 | 0.941 | 0.941 | Cons |
| LPROG$1 | -0.255 | -0.255 | Cons |
| LPROG$2 | 0.330 | 0.330 | Cons |
| LPROG$3 | 0.800 | 0.800 | Cons |
| LSPOKE$1 | -0.505 | -0.505 | Cons |
| LSPOKE$2 | 0.202 | 0.202 | Cons |
| LSPOKE$3 | 0.826 | 0.826 | Cons |
| LSTORY$1 | -0.271 | -0.271 | Cons |
| LSTORY$2 | 0.300 | 0.300 | Cons |
| LSTORY$3 | 0.780 | 0.780 | Cons |
| LVERB$1 | -0.250 | -0.250 | Cons |
| LVERB$2 | 0.406 | 0.406 | Cons |
| LVERB$3 | 0.930 | 0.930 | Cons |
| LWORDS$1 | -0.478 | -0.478 | Cons |
| LWORDS$2 | 0.357 | 0.357 | Cons |
| LWORDS$3 | 0.902 | 0.902 | Cons |
| VPMAPF$1 | -0.418 | -0.418 | Cons |
| VPMAPF$2 | 0.095 | 0.095 | Cons |
| VPMAPF$3 | 0.448 | 0.448 | Cons |
Plot
Plot 1
Plot 2
Memory
Final Model
| param | AA | WHITE | Cons(Free) |
|---|---|---|---|
| Loadings | |||
| MAPPT | 0.830 | 0.899 | Free |
| MDATE | 0.853 | 0.892 | Free |
| MHAP | 0.884 | 0.925 | Free |
| MPLACE | 0.857 | 0.857 | Cons |
| MREC | 0.869 | 0.942 | Free |
| MREM | 0.876 | 0.876 | Cons |
| MREPEAT | 0.889 | 0.929 | Free |
| MTOLD | 0.873 | 0.928 | Free |
| Threshold | |||
| MAPPT$1 | -0.706 | -0.706 | Cons |
| MAPPT$2 | -0.136 | -0.136 | Cons |
| MAPPT$3 | 0.362 | 0.362 | Cons |
| MDATE$1 | -0.524 | -0.524 | Cons |
| MDATE$2 | 0.018 | 0.018 | Cons |
| MDATE$3 | 0.430 | 0.430 | Cons |
| MHAP$1 | -0.675 | -0.766 | Free |
| MHAP$2 | 0.013 | -0.188 | Free |
| MHAP$3 | 0.409 | 0.429 | Free |
| MPLACE$1 | -1.176 | -1.176 | Cons |
| MPLACE$2 | -0.396 | -0.396 | Cons |
| MPLACE$3 | 0.200 | 0.200 | Cons |
| MREC$1 | -0.771 | -1.018 | Free |
| MREC$2 | -0.015 | -0.356 | Free |
| MREC$3 | 0.492 | 0.189 | Free |
| MREM$1 | -0.811 | -0.811 | Cons |
| MREM$2 | -0.162 | -0.162 | Cons |
| MREM$3 | 0.319 | 0.319 | Cons |
| MREPEAT$1 | -0.839 | -0.839 | Cons |
| MREPEAT$2 | -0.233 | -0.233 | Cons |
| MREPEAT$3 | 0.257 | 0.257 | Cons |
| MTOLD$1 | -0.899 | -0.899 | Cons |
| MTOLD$2 | -0.193 | -0.193 | Cons |
| MTOLD$3 | 0.283 | 0.283 | Cons |
Plot
Plot 1
Plot 2
Organizational
Final Model
| param | AA | WHITE | Cons(Free) |
|---|---|---|---|
| Loadings | |||
| EXCHECK | 0.971 | 0.971 | Cons |
| EXFIN | 0.989 | 0.989 | Cons |
| EXORG | 0.901 | 0.901 | Cons |
| EXPAPER | 0.937 | 0.937 | Cons |
| EXPRIOR | 0.936 | 0.936 | Cons |
| EXSPACE | 0.858 | 0.858 | Cons |
| Threshold | |||
| EXCHECK$1 | -0.517 | -0.517 | Cons |
| EXCHECK$2 | -0.111 | -0.111 | Cons |
| EXCHECK$3 | 0.153 | 0.153 | Cons |
| EXFIN$1 | -0.514 | -0.514 | Cons |
| EXFIN$2 | -0.107 | -0.107 | Cons |
| EXFIN$3 | 0.197 | 0.197 | Cons |
| EXORG$1 | -0.255 | -0.255 | Cons |
| EXORG$2 | 0.181 | 0.181 | Cons |
| EXORG$3 | 0.473 | 0.473 | Cons |
| EXPAPER$1 | -0.585 | -0.585 | Cons |
| EXPAPER$2 | -0.003 | -0.003 | Cons |
| EXPAPER$3 | 0.450 | 0.450 | Cons |
| EXPRIOR$1 | -0.487 | -0.487 | Cons |
| EXPRIOR$2 | 0.041 | 0.041 | Cons |
| EXPRIOR$3 | 0.493 | 0.493 | Cons |
| EXSPACE$1 | -0.535 | -0.366 | Free |
| EXSPACE$2 | 0.081 | 0.179 | Free |
| EXSPACE$3 | 0.583 | 0.777 | Free |
Plot
Plot 1
Plot 2
Plan
Final Model
| param | AA | WHITE | Cons(Free) |
|---|---|---|---|
| Loadings | |||
| EXAHEAD | 0.962 | 0.962 | Cons |
| EXSCHED | 0.953 | 0.953 | Cons |
| EXSEQ | 0.948 | 0.948 | Cons |
| EXTHINK | 0.945 | 0.945 | Cons |
| EXWEATH | 0.889 | 0.889 | Cons |
| Threshold | |||
| EXAHEAD$1 | -0.433 | -0.433 | Cons |
| EXAHEAD$2 | 0.152 | 0.152 | Cons |
| EXAHEAD$3 | 0.692 | 0.692 | Cons |
| EXSCHED$1 | -0.348 | -0.348 | Cons |
| EXSCHED$2 | 0.201 | 0.201 | Cons |
| EXSCHED$3 | 0.596 | 0.596 | Cons |
| EXSEQ$1 | -0.255 | -0.255 | Cons |
| EXSEQ$2 | 0.231 | 0.231 | Cons |
| EXSEQ$3 | 0.594 | 0.594 | Cons |
| EXTHINK$1 | -0.431 | -0.431 | Cons |
| EXTHINK$2 | 0.216 | 0.216 | Cons |
| EXTHINK$3 | 0.770 | 0.770 | Cons |
| EXWEATH$1 | 0.182 | 0.182 | Cons |
| EXWEATH$2 | 0.694 | 0.694 | Cons |
| EXWEATH$3 | 1.109 | 1.109 | Cons |
Plot
Plot 1
Plot 2
Visuospatial
Final Model
| param | AA | WHITE | Cons(Free) |
|---|---|---|---|
| Loadings | |||
| VPBACK | 1.075 | 0.953 | Free |
| VPCAR | 1.051 | 0.933 | Free |
| VPHOUSE | 1.053 | 0.945 | Free |
| VPMAPF | 0.980 | 0.980 | Cons |
| VPMAPR | 0.976 | 0.976 | Cons |
| VPSTORE | 1.042 | 0.970 | Free |
| VPWAY | 1.050 | 0.949 | Free |
| Threshold | |||
| VPBACK$1 | -0.198 | -0.198 | Cons |
| VPBACK$2 | 0.329 | 0.329 | Cons |
| VPBACK$3 | 0.667 | 0.667 | Cons |
| VPCAR$1 | -0.247 | -0.247 | Cons |
| VPCAR$2 | 0.351 | 0.351 | Cons |
| VPCAR$3 | 0.724 | 0.724 | Cons |
| VPHOUSE$1 | 0.422 | 0.422 | Cons |
| VPHOUSE$2 | 0.898 | 0.898 | Cons |
| VPHOUSE$3 | 1.338 | 1.338 | Cons |
| VPMAPF$1 | -0.408 | -0.408 | Cons |
| VPMAPF$2 | 0.104 | 0.104 | Cons |
| VPMAPF$3 | 0.456 | 0.456 | Cons |
| VPMAPR$1 | -0.426 | -0.426 | Cons |
| VPMAPR$2 | 0.079 | 0.079 | Cons |
| VPMAPR$3 | 0.419 | 0.419 | Cons |
| VPSTORE$1 | 0.189 | 0.189 | Cons |
| VPSTORE$2 | 0.706 | 0.706 | Cons |
| VPSTORE$3 | 1.101 | 1.101 | Cons |
| VPWAY$1 | 0.126 | 0.126 | Cons |
| VPWAY$2 | 0.672 | 0.672 | Cons |
| VPWAY$3 | 1.067 | 1.067 | Cons |
Plot
Plot 1
Plot 2
Hispanic
Divided Attention
Final Model
| param | HISP | WHITE | Cons(Free) |
|---|---|---|---|
| Loadings | |||
| EXCONC | 0.924 | 0.924 | Cons |
| EXCOOK | 0.924 | 0.924 | Cons |
| EXRETURN | 0.954 | 0.954 | Cons |
| EXTWO | 0.953 | 0.953 | Cons |
| Threshold | |||
| EXCONC$1 | -0.832 | -0.629 | Free |
| EXCONC$2 | -0.154 | 0.040 | Free |
| EXCONC$3 | 0.368 | 0.592 | Free |
| EXCOOK$1 | -0.502 | -0.502 | Cons |
| EXCOOK$2 | 0.125 | 0.125 | Cons |
| EXCOOK$3 | 0.564 | 0.564 | Cons |
| EXRETURN$1 | -0.691 | -0.661 | Free |
| EXRETURN$2 | -0.110 | -0.007 | Free |
| EXRETURN$3 | 0.223 | 0.585 | Free |
| EXTWO$1 | -0.871 | -0.850 | Free |
| EXTWO$2 | -0.158 | -0.181 | Free |
| EXTWO$3 | 0.163 | 0.380 | Free |
Plot
Plot 1
Plot 2
Language
Final Model
| param | HISP | WHITE | Cons(Free) |
|---|---|---|---|
| Loadings | |||
| LCOMM | 0.874 | 0.931 | Free |
| LMEAN | 0.885 | 0.885 | Cons |
| LOBJ | 0.853 | 0.853 | Cons |
| LPOINT | 0.892 | 0.892 | Cons |
| LPROG | 0.903 | 0.903 | Cons |
| LSPOKE | 0.891 | 0.851 | Free |
| LSTORY | 0.901 | 0.901 | Cons |
| LVERB | 0.912 | 0.912 | Cons |
| LWORDS | 0.868 | 0.916 | Free |
| VPMAPF | 0.839 | 0.839 | Cons |
| Threshold | |||
| LCOMM$1 | -0.401 | -0.401 | Cons |
| LCOMM$2 | 0.280 | 0.280 | Cons |
| LCOMM$3 | 0.852 | 0.852 | Cons |
| LMEAN$1 | -0.019 | 0.250 | Free |
| LMEAN$2 | 0.786 | 0.933 | Free |
| LMEAN$3 | 1.170 | 1.479 | Free |
| LOBJ$1 | -0.257 | -0.257 | Cons |
| LOBJ$2 | 0.521 | 0.521 | Cons |
| LOBJ$3 | 1.079 | 1.079 | Cons |
| LPOINT$1 | -0.421 | -0.421 | Cons |
| LPOINT$2 | 0.295 | 0.295 | Cons |
| LPOINT$3 | 0.926 | 0.926 | Cons |
| LPROG$1 | -0.254 | -0.254 | Cons |
| LPROG$2 | 0.341 | 0.341 | Cons |
| LPROG$3 | 0.797 | 0.797 | Cons |
| LSPOKE$1 | -0.517 | -0.517 | Cons |
| LSPOKE$2 | 0.189 | 0.189 | Cons |
| LSPOKE$3 | 0.807 | 0.807 | Cons |
| LSTORY$1 | -0.260 | -0.260 | Cons |
| LSTORY$2 | 0.300 | 0.300 | Cons |
| LSTORY$3 | 0.785 | 0.785 | Cons |
| LVERB$1 | -0.253 | -0.253 | Cons |
| LVERB$2 | 0.391 | 0.391 | Cons |
| LVERB$3 | 0.914 | 0.914 | Cons |
| LWORDS$1 | -0.472 | -0.472 | Cons |
| LWORDS$2 | 0.357 | 0.357 | Cons |
| LWORDS$3 | 0.913 | 0.913 | Cons |
| VPMAPF$1 | -0.330 | -0.398 | Free |
| VPMAPF$2 | 0.028 | 0.102 | Free |
| VPMAPF$3 | 0.273 | 0.464 | Free |
Plot
Plot 1
Plot 2
Memory
Final Model
| param | HISP | WHITE | Cons(Free) |
|---|---|---|---|
| Loadings | |||
| MAPPT | 0.901 | 0.901 | Cons |
| MDATE | 0.894 | 0.894 | Cons |
| MHAP | 0.928 | 0.928 | Cons |
| MPLACE | 0.916 | 0.857 | Free |
| MREC | 0.939 | 0.939 | Cons |
| MREM | 0.878 | 0.878 | Cons |
| MREPEAT | 0.927 | 0.927 | Cons |
| MTOLD | 0.927 | 0.927 | Cons |
| Threshold | |||
| MAPPT$1 | -0.710 | -0.710 | Cons |
| MAPPT$2 | -0.146 | -0.146 | Cons |
| MAPPT$3 | 0.385 | 0.385 | Cons |
| MDATE$1 | -0.529 | -0.529 | Cons |
| MDATE$2 | 0.016 | 0.016 | Cons |
| MDATE$3 | 0.432 | 0.432 | Cons |
| MHAP$1 | -0.687 | -0.766 | Free |
| MHAP$2 | 0.014 | -0.188 | Free |
| MHAP$3 | 0.474 | 0.429 | Free |
| MPLACE$1 | -1.355 | -1.166 | Free |
| MPLACE$2 | -0.382 | -0.419 | Free |
| MPLACE$3 | 0.135 | 0.221 | Free |
| MREC$1 | -0.808 | -1.018 | Free |
| MREC$2 | -0.180 | -0.356 | Free |
| MREC$3 | 0.336 | 0.189 | Free |
| MREM$1 | -0.803 | -0.803 | Cons |
| MREM$2 | -0.160 | -0.160 | Cons |
| MREM$3 | 0.349 | 0.349 | Cons |
| MREPEAT$1 | -0.863 | -0.863 | Cons |
| MREPEAT$2 | -0.245 | -0.245 | Cons |
| MREPEAT$3 | 0.244 | 0.244 | Cons |
| MTOLD$1 | -0.879 | -0.879 | Cons |
| MTOLD$2 | -0.207 | -0.207 | Cons |
| MTOLD$3 | 0.281 | 0.281 | Cons |
Plot
Plot 1
Plot 2
Organizational
Final Model
| param | HISP | WHITE | Cons(Free) |
|---|---|---|---|
| Loadings | |||
| EXCHECK | 0.968 | 0.968 | Cons |
| EXFIN | 0.940 | 0.990 | Free |
| EXORG | 0.900 | 0.900 | Cons |
| EXPAPER | 0.937 | 0.937 | Cons |
| EXPRIOR | 0.940 | 0.940 | Cons |
| EXSPACE | 0.854 | 0.854 | Cons |
| Threshold | |||
| EXCHECK$1 | -0.511 | -0.511 | Cons |
| EXCHECK$2 | -0.108 | -0.108 | Cons |
| EXCHECK$3 | 0.160 | 0.160 | Cons |
| EXFIN$1 | -0.520 | -0.520 | Cons |
| EXFIN$2 | -0.110 | -0.110 | Cons |
| EXFIN$3 | 0.198 | 0.198 | Cons |
| EXORG$1 | -0.271 | -0.271 | Cons |
| EXORG$2 | 0.169 | 0.169 | Cons |
| EXORG$3 | 0.448 | 0.448 | Cons |
| EXPAPER$1 | -0.534 | -0.582 | Free |
| EXPAPER$2 | -0.029 | 0.011 | Free |
| EXPAPER$3 | 0.259 | 0.471 | Free |
| EXPRIOR$1 | -0.492 | -0.492 | Cons |
| EXPRIOR$2 | 0.044 | 0.044 | Cons |
| EXPRIOR$3 | 0.486 | 0.486 | Cons |
| EXSPACE$1 | -0.356 | -0.356 | Cons |
| EXSPACE$2 | 0.186 | 0.186 | Cons |
| EXSPACE$3 | 0.769 | 0.769 | Cons |
Plot
Plot 1
Plot 2
Plan
Final Model
| param | HISP | WHITE | Cons(Free) |
|---|---|---|---|
| Loadings | |||
| EXAHEAD | 0.959 | 0.959 | Cons |
| EXSCHED | 0.925 | 0.956 | Free |
| EXSEQ | 0.946 | 0.946 | Cons |
| EXTHINK | 0.945 | 0.945 | Cons |
| EXWEATH | 0.897 | 0.897 | Cons |
| Threshold | |||
| EXAHEAD$1 | -0.429 | -0.429 | Cons |
| EXAHEAD$2 | 0.151 | 0.151 | Cons |
| EXAHEAD$3 | 0.691 | 0.691 | Cons |
| EXSCHED$1 | -0.082 | -0.351 | Free |
| EXSCHED$2 | 0.347 | 0.187 | Free |
| EXSCHED$3 | 0.647 | 0.592 | Free |
| EXSEQ$1 | -0.254 | -0.254 | Cons |
| EXSEQ$2 | 0.244 | 0.244 | Cons |
| EXSEQ$3 | 0.613 | 0.613 | Cons |
| EXTHINK$1 | -0.421 | -0.421 | Cons |
| EXTHINK$2 | 0.210 | 0.210 | Cons |
| EXTHINK$3 | 0.766 | 0.766 | Cons |
| EXWEATH$1 | 0.185 | 0.185 | Cons |
| EXWEATH$2 | 0.698 | 0.698 | Cons |
| EXWEATH$3 | 1.084 | 1.084 | Cons |
Plot
Plot 1
Plot 2
Visuospatial
Final Model
| param | HISP | WHITE | Cons(Free) |
|---|---|---|---|
| Loadings | |||
| VPBACK | 0.955 | 0.955 | Cons |
| VPCAR | 0.931 | 0.931 | Cons |
| VPHOUSE | 0.946 | 0.946 | Cons |
| VPMAPF | 0.980 | 0.980 | Cons |
| VPMAPR | 0.976 | 0.976 | Cons |
| VPSTORE | 1.002 | 0.970 | Free |
| VPWAY | 0.983 | 0.949 | Free |
| Threshold | |||
| VPBACK$1 | -0.007 | -0.205 | Free |
| VPBACK$2 | 0.362 | 0.325 | Free |
| VPBACK$3 | 0.622 | 0.682 | Free |
| VPCAR$1 | -0.243 | -0.243 | Cons |
| VPCAR$2 | 0.359 | 0.359 | Cons |
| VPCAR$3 | 0.729 | 0.729 | Cons |
| VPHOUSE$1 | 0.412 | 0.412 | Cons |
| VPHOUSE$2 | 0.896 | 0.896 | Cons |
| VPHOUSE$3 | 1.306 | 1.306 | Cons |
| VPMAPF$1 | -0.378 | -0.378 | Cons |
| VPMAPF$2 | 0.101 | 0.101 | Cons |
| VPMAPF$3 | 0.445 | 0.445 | Cons |
| VPMAPR$1 | -0.219 | -0.429 | Free |
| VPMAPR$2 | 0.155 | 0.070 | Free |
| VPMAPR$3 | 0.479 | 0.423 | Free |
| VPSTORE$1 | 0.248 | 0.180 | Free |
| VPSTORE$2 | 0.610 | 0.702 | Free |
| VPSTORE$3 | 0.909 | 1.115 | Free |
| VPWAY$1 | 0.212 | 0.117 | Free |
| VPWAY$2 | 0.552 | 0.682 | Free |
| VPWAY$3 | 0.761 | 1.085 | Free |
Plot
Plot 1
Plot 2
