Score equating based on small samples of examinees is often inaccurate for the examinee populations. We conducted a series of resampling studies to investigate the accuracy of five methods of equating in a common-item design. The methods were chained equipercentile equating of smoothed distributions, chained linear equating, chained mean equating,…

This article suggests a method for estimating a test-score equating relationship from small samples of test takers. The method does not require the estimated equating transformation to be linear. Instead, it constrains the estimated equating curve to pass through two pre-specified end points and a middle point determined from the data. In a…

Article commented on a study by Harris, who presented formulas for the variance of errors of estimation (of a true score from an observed score) and the variance of errors of prediction (of an observed score from an observed score on a parallel test). (Author/RK)

This study investigated the hypothesis that females who score high on the Mathematical portion of Scholastic Aptitude Test do so because they have high verbal skills, whereas some males score high on the mathematics despite their relatively low verbal skills. Evidence for and against the hypothesis was observed. (Author/JAZ)

To set a standard on the "beardedness" test (see TM 507 062) the probability that a student with a specific score will be judged as bearded must be estimated for each test score. To get an unbiased estimate of that probability, a representative sample of students at each test score level must be chosen. (BW)

For tests used to make pass/fail decisions, the relevant standard error of measurement (SEM) is the SEM at the passing score. If the test is highly stratified, this SEM should be estimated by a split-halves approach. A formula and its derivation are provided. (Author)

A reliability coefficient for criterion-referenced tests is developed from the assumptions of classical test theory. The coefficient is based on deviations of scores from the criterion score, rather than from the mean. (Author/CK)

This article is a reply to a previous paper (see TM 500 488) interpreting Livingston's original article (see TM 500 487). (CK)

Author replies to article TM 500 559. (MB)

A method is presented for estimating the accuracy and consistency of classifications based on test scores. The reliability of the score is used to estimate effective test length in terms of discrete items. The true-score distribution is estimated by fitting a four-parameter beta model. (SLD)

Procedures are described for studying the reliability of decisions based on specific passing scores with tests made up of discrete items and designed to measure continuous rather than categorical traits. These procedures are based on the estimation of the joint distribution of true scores and observed scores. (CTM)

The extent to which log-linear smoothing could improve the accuracy of common-item equating by the chained equipercentile method in small samples of examinees was investigated with responses from a 100-item test and 93,283 examinees. Smoothing reduced the sample size required for a given degree of accuracy. (SLD)