The Pearson-Fisher chi-squared test can be used to evaluate the goodnessof-fit of categorized continuous data with known bin endpoints compared to a continuous distribution, in the presence of unknown (nuisance) distribution parameters. Rayner and McAlevey [11] and Rayner and Best [9],[10] demonstrate that in this case, component tests of the Pearson-Fisher chi-squared test statistic can be obt...

The Pearson-Fisher chi-squared test can be used to evaluate the goodnessof-fit of categorized continuous data with known bin endpoints compared to a continuous distribution, in the presence of unknown (nuisance) distribution parameters. Rayner and McAlevey [11] and Rayner and Best [9],[10] demonstrate that in this case, component tests of the Pearson-Fisher chi-squared test statistic can be obt...

For a test that consists of dichotomously-scored items, several approaches have been reported in the literature for estimating decision consistency based on a single administration of a test. It is relatively straightforward to extend these approaches to a test that consists of polytomously-scored items with the same number of score categories for each item. Single-administration decisionconsis...

This simulation study investigated to what extent departures from construct similarity as well differences in the difficulty and targeting of scales impact score transformation when are equated by means concurrent calibration using partial credit model with a common person design. Practical implications results discussed focus on scale equating health-related research settings. The simulated da...