Mediation analysis plays an important role in understanding causal processes in social and behavioral sciences. While path analysis with composite scores was criticized to yield biased parameter estimates when variables contain measurement errors, recent literature has pointed out that the population values of parameters of latent-variable models…

In this article, we extend the methodology of the Cut-Score Operating Function that we introduced previously and apply it to a testing scenario with multiple independent components and different testing policies. We derive analytically the overall classification error rate for a test battery under the policy when several retakes are allowed for…

The popularity of online surveys has increased the prominence of using weights that capture units' probabilities of inclusion for claims of representativeness. Yet, much uncertainty remains regarding how these weights should be employed in analysis of survey experiments: Should they be used or ignored? If they are used, which estimators are…

This article proposes that sampling design effects have potentially huge unrecognized impacts on the results reported by large-scale district and state assessments in the United States. When design effects are unrecognized and unaccounted for they lead to underestimating the sampling error in item and test statistics. Underestimating the sampling…

In 2002, an article entitled "Four assumptions of multiple regression that researchers should always test" by Osborne and Waters was published in "PARE." This article has gone on to be viewed more than 275,000 times (as of August 2013), and it is one of the first results displayed in a Google search for "regression…

A procedure for estimating reliability in a factor analytic context, when reliability of the extracted factors is not an emphasis, is identified. The procedure is an extension of Dressel's work and might be applied in attitude measurement. It assesses how homogeneous the weighted original item responses are, when they are scored for pattern…

An alternative biweight estimator based on Tukey's is examined in which (1) test disturbances are not assumed to be the same for all subjects, (2) each response is utilized proportional to its value, and (3) the biweight and maximum likelihood estimate agree when no disturbances are present. Smaller mean-squared errors are shown. (Author/CM)

Weighting responses to Constructed-Response (CR) items has been proposed as a way to increase the contribution these items make to the test score when there is insufficient testing time to administer additional CR items. The effect of various types of weighting items of an IRT-based mixed-format writing examination was investigated.…