In large-scale educational surveys, a latent regression model is used to compensate for the shortage of cognitive information. Conventionally, the covariates in the latent regression model are principal components extracted from background data. This operational method has several important disadvantages, such as the handling of missing data and…

Even when the scoring of an examination is based on item response theory (IRT), standard-setting methods seldom use this information directly when determining the minimum passing score (MPS) for an examination from an Angoff-based standard-setting study. Often, when IRT scoring is used, the MPS value for a test is converted to an IRT-based theta…

In an Angoff standard setting procedure, judges estimate the probability that a hypothetical randomly selected minimally competent candidate will answer correctly each item in the test. In many cases, these item performance estimates are made twice, with information shared with the panelists between estimates. Especially for long tests, this…