We conclude our treatment of Bayesian psychometric modeling in this chapter first by summarizing the main developments in Section 15.1. In Section 15.2, we work through a situation where caution is warranted in applying the principles we have espoused. We conclude the chapter with some parting words in Section 15.3.
15.1 Bayes as a Useful Framework
Our investigation began by seeking a way to support or make claims about examinees in assessment, and we landed on the posterior distribution p(θ | x) as an expression of what we believe about examinees having observed the data. Recognizing that the evidentiary value of the data may vary from task to task in ways we might not precisely know before we collect the data, we extended ...
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