We revisit the empirically observed positive correlation between DIF and difficulty studied by Freedle and commonly seen in tests of verbal proficiency when comparing populations of different mean latent proficiency levels. It is shown that a positive correlation between DIF and difficulty estimates is actually an expected result (absent any true…

Pearson product-moment correlation coefficient between item g and test score X, known as item-test or item-total correlation ("Rit"), and item-rest correlation ("Rir") are two of the most used classical estimators for item discrimination power (IDP). Both "Rit" and "Rir" underestimate IDP caused by the…

Despite the increasing demand for diagnostic information, observed subscores have been often reported to lack adequate psychometric qualities such as reliability, distinctiveness, and validity. Therefore, several statistical techniques based on CTT and IRT frameworks have been proposed to improve the quality of subscores. More recently, DCM has…

While many tools exist to assess student content knowledge, there are few that assess whether students display the critical listening skills necessary to interpret the quality of a speaker's message at the college level. The following research provides preliminary evidence for the internal consistency and factor structure of a tool, the…

Purpose: Based on the general formula, which depends on the length and difficulty of the test, the number of respondents and the number of ability levels, this study aims to provide a closed formula for the adaptive tests with medium difficulty (probability of solution is p = 1/2) to determine the accuracy of the parameters for each item and in…

Purpose: The readability and comprehensibility of Learner's Permit Knowledge Test practice questions and the relationship with test failure rates across states and the District of Columbia were examined. Method: Failure rates were obtained from department representatives. Practice test questions were extracted from drivers' manuals and department…

Analyzing heterogeneous treatment effects (HTEs) plays a crucial role in understanding the impacts of educational interventions. A standard practice for HTE analysis is to examine interactions between treatment status and preintervention participant characteristics, such as pretest scores, to identify how different groups respond to treatment.…

This study aims to examine the effects of mixture item response theory (IRT) models on item parameter estimation and classification accuracy under different conditions. The manipulated variables of the simulation study are set as mixture IRT models (Rasch, 2PL, 3PL); sample size (600, 1000); the number of items (10, 30); the number of latent…

Many scholars compared various item discrimination indices in real or simulated data. Item discrimination indices, such as item-total correlation, item-rest correlation, and IRT item discrimination parameter, provide information about individual differences among all participants. However, there are tests that aim to select a very limited number…

Analyzing heterogeneous treatment effects (HTE) plays a crucial role in understanding the impacts of educational interventions. A standard practice for HTE analysis is to examine interactions between treatment status and pre-intervention participant characteristics, such as pretest scores, to identify how different groups respond to treatment.…

There is a broad literature in multiple-choice test development, both in terms of item-writing guidelines, and psychometric functionality as a measurement tool. However, most of the published literature concerns multiple-choice testing in the context of expert-designed high-stakes standardized assessments, with little attention being paid to the…

Researchers design diagnostic assessments to measure students' knowledge structures and processing skills to provide information about their cognitive attribute. The purpose of this study is to determine the instrument's validity and score reliability, as well as to investigate the use of classical test theory to identify item characteristics. The…

When examinees perceive a test as low stakes, it is logical to assume that some of them will not put out their maximum effort. This condition makes the validity of the test results more complicated. Although many studies have investigated motivational fluctuation across tests during a testing session, only a small number of studies have…

There is an increased demand on nursing faculty to provide quality teaching and assessment. Nursing faculty are required to ensure accurate assessment of learning through testing and outcome measurement that are critical elements of the evaluation process. Likewise, nursing faculty should implement a logical evaluation system. However, the…

The aim of this study was to compare, by simulation, the accuracy of mapping a cut-score from one test to another by expert judgement (using the Angoff method) versus the accuracy with a small-sample equating method (chained linear equating). As expected, the standard-setting method resulted in more accurate equating when we assumed a higher level…