Multidimensional Models of Perception and Cognition

By F. Gregory Ashby | Go to book overview

MODEL TESTS WITH EXPERIMENTAL FOUR-RESPONSE DATA

As with the two-response experimental data, it is of interest to see whether we can discriminate among these models with real experimental data. Table 15.5 gives the RMSD for each model for each of the six subjects in the QG task, a fit of a mean subject, and the mean of the subject fits. The FLMP and theoretically equivalent (BPM, GMM-E, EMM-CB, TSD) models all had fits of about RMSD = 0.0426. Figure 15.29 shows the fit of the FLMP for the typical subject shown in Figure 15.19. Of the remaining models, none differed significantly from the FLMP in goodness of fit, except the nonthreshold FCM (RMSD = 0.2364), F(1, 5) = 371.1, p < 0.001, and the IAC-RGR5 (RMSD = 0.0804), F(1, 5) = 111.5, p < 0.001. For the IAC-RGRK model, the additional k parameter averaged 9.2 and for the IAC-BOW model the standard deviation of the input noise averaged 0.133.


SUMMARY

Several models of categorization were developed and analyzed within the context of prototypical pattern recognition tasks. These tasks involve the independent manipulation of two sources of information. The subject categorizes the stimulus event by choosing among two- or four-response alternatives. This task has been


TABLE 15.5 RMSDs for Model Fits of Four-Response Experimental Data for Six Individual Subjects, Fit of Mean Subject, and Average of Six Subject Fits
ModelS1S2S3S4S5S6SMAVE
FLMP .0331 .0397 .0300 .0450 .0360 .0715 .0265 .0426
BPM .0326 .0393 .0295 .0449 .0359 .0714 .0262 .0423
GMM-E .0331 .0397 .0300 .0450 .0360 .0715 .0265 .0426
GMM-CB .0322 .0387 .0319 .0433 .0348 .0693 .0273 .0417
EMM-E .0333 .0373 .0293 .0435 .0353 .0705 .0254 .0415
EMM-CB .0331 .0397 .0300 .0450 .0360 .0715 .0265 .0426
TSD .0331 .0397 .0300 .0450 .0360 .0715 .0265 .0426
FCM .2392 .1994 .2203 .2609 .2561 .2423 .2210 .2364
FCM-T .0309 .0388 .0300 .0425 .0362 .0664 .0264 .0408
IAC-RGR5 .0770 .0686 .0605 .0927 .0816 .1018 .0714 .0804
IAC-RGRK .0394 .0379 .0300 .0521 .0375 .0776 .0455 .0458
IAC-BOW .0329 .0395 .0283 .0455 .0358 .0723 .0291 .0424

-442-

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