Modeling Responses and Response Times in Tests With the Hierarchical Model and the Three-Parameter Lognormal Distribution

The hierarchical model of van der Linden is the most popular model for responses and response times in tests. It is composed of two separate submodels—one for the responses and one for the response times—that are joined at a higher level. The submodel for the response times is based on the lognormal distribution. The lognormal distribution is a skew distribution with a support from zero to infinity. Such a support is unrealistic as the solution...