Thanks to Randy Bennett, Bob Mislevy, Heather Buzick, Caroline Wylie, Leslie Nabors Olah, and the editors of this volume for their reviews of earlier versions of this manuscript, and to Jim Fife for suggested revisions. Their efforts are appreciated and any errors are the sole responsibility of the authors.

Note

1. Classification can also be pursued with the PCM, but it does not follow directly from the model parameters. It can be done by using the averages of the item-specific level transitions as cutoffs. A comparison of this approach with the classification obtained with the CPCM reveals an 84% exact agreement and quadratically weighted kappa of 0.93 (SE = 0.03).

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