The paper proposes new measures of difficulty and discriminating values of binary items and test consisting of such items and find their relationships including estimation of test error variance and thereby the test reliability, as per definition using cosine similarities. The measures use entire data. Difficulty value of test and item is defined…

Measurement of mental rotation presents a serious challenge to cognitive researchers owing to the lack of a single comprehensive measure that can be applied across the developing age groups. Objective of the present study was to develop and validate a new measure of mental rotation for preadolescent and adolescent age groups. Items were…

Experts use their domain expertise and knowledge of examinees' ability levels as they write test items. The expert test writer can then estimate the difficulty of the test items subjectively. However, an objective method for assigning difficulty to a test item would capture the cognitive demands imposed on the examinee as well as be…

In this technical report, we describe the development and piloting of a series of mathematics progress monitoring measures intended for use with students in grade 1. These measures, available as part of easyCBM [TM], an online progress monitoring assessment system, were developed in 2008 and administered to approximately 2800 students from schools…

The concept of scaled achievement tests is discussed and a method of selecting those items of a test that form the most scalable (i.e., having the highest coefficient of reproducibility) subset is presented. Sometimes called a monotonic-deterministic model, this type of test assumes that the test items may be sequentially ordered. To determine the…

An application of the two-paramenter logistic (Rasch) model to tailored testing is presented. The model is discussed along with the maximum likelihood estimation of the ability parameters given the response pattern and easiness parameter estimates for the items. The technique has been programmed for use with an interactive computer terminal. Use…

A three-part correlational study examined the explanatory power of the Lexile theory of reading comprehension, which was based on the semantic and syntactic components of prose. Correlations were performed between the item difficulties of nine nationally normed reading comprehension tests and computer generated difficulties which were reported in…

Monte Carlo simulation procedures were used to study the psychometric characteristics of two two-stage adaptive tests and a conventional "peaked" ability test. Results showed that scores yielded by both two-stage tests better reflected the normal distribution of underlying ability. Ability estimates yielded by one of the two stage tests…

TAILOR is a computer program that uses the implied orders concept as the basis for computerized adaptive testing. The basic characteristics of TAILOR, which does not involve pretesting, are reviewed here and two studies of it are reported. One is a Monte Carlo simulation based on the four-parameter Birnbaum model and the other uses a matrix of…

This material provides a discussion of the construction and analysis of tests prepared for classroom use by teachers. The initial discussion is concerned with the purposes of evaluation and the specification of objectives. This is followed by an examination of theoretical and practical considerations in planning a test. The material on test item…