Posterior predictive checking is a Bayesian adaptation of the classical (sampling theory) statistical hypothesis testing
This work presents theory and methods of statistical hypothesis testing
based on measure theory, with emphasis on finding and evaluating appropriate statistical techniques.
They also face the new terminology of statistical hypothesis testing
, which they will use throughout the course, and no doubt in other courses.
The results from both simulation and statistical hypothesis testing
are in consistent with Schnipke & Scrams (1999) in terms that the presence of disclosed items can inflate the final ability estimates in the context of CATs by an unacceptably high degree, especially for the low-ability examinees.
Secondary issues include descriptive statistics (interpretation of standard deviation), normal distribution, and statistical hypothesis testing