Using a new coefficient, a rescaling of the Bayes risk is examined and a modification of this coefficient is described which yields an index that always has a value between zero and one. (Author/MH)

Four procedures are discussed for obtaining a confidence interval when answer-until-correct scoring is used in multiple choice tests. Simulated data show that the choice of procedure depends upon sample size. (GDC)

A new model for measuring misinformation is suggested. A modification of Wilcox's strong true-score model, to be used in certain situations, is indicated, since it solves the problem of correcting for guessing without assuming guessing is random. (Author/GK)

A procedure is described for determining the minimal length of a mastery test given certain constraints. The procedure assumes that the testor is indifferent to misclassifying some testees who score within a specified range about the passing score. An example and table are provided. (JKS)

Wilcox (1977) examines two methods of estimating the probability of a false-positive on false-negative decision with a mastery test. Both procedures make assumptions about the form of the true score distribution which might not give good results in all situations. In this paper, upper and lower bounds on the two possible error types are described…

Concern about passing those examinees who should pass, and retaining those who need remedial work, is one problem related to criterion-referenced testing. This paper deals with one aspect of that problem. When determining how many items to include on a criterion-referenced test, practitioners must resolve various non-statistical issues before a…

Emrick's proposed method for determining a mastery level cut-off score is questioned. Emrick's method is shown to be useful only in limited situations. (JKS)

False-positive and false-negative decisions are the two possible errors committed with a mastery test; yet the estimation of the likelihood of committing these errors has not been investigated. Two methods of this type of estimation are presented and discussed. (Author/JKS)

The paper considers the problem of selecting the t best of k normal populations and simultaneously determining whether the selected populations have a mean larger than a known standard. Illustrations are given for selecting the t best of k examinees when the binomial error model applies. (Author)

Methods are described for obtaining upper and lower bounds to both false-positive and false-negative decisions with a mastery test. These methods make no assumptions about the form of the true score distribution. (CTM)

This document presents a series of five papers describing issues in educational measurement. "A Simple Model for Diagnostic Testing When There Are Several Types of Misinformation" directly addresses the diagnostic issue. It describes a simple latent trait model for testing, examines use of erroneous algorithms, and illustrates the…

Two fundamental problems in mental test theory are to estimate true score and to estimate the amount of error when testing an examinee. In this report, three probability models which characterize a single test item in terms of a population of examinees are described. How these models may be modified to characterize a single examinee in terms of an…

Three statistical problems related to criterion-referenced testing are investigated: estimation of the likelihood of a false-positive or false-negative decision with a mastery test, estimation of true scores in the Compound Binomial Error Model, and comparison of the examinees to a control. Two methods for estimating the likelihood of…

A closed sequential procedure for estimating true score is proposed for use with answer-until-correct tests. The accuracy of determining true score is the same as in conventional sequential solutions, but the possibility of using an unnecessarily large number of items is eliminated. (Author/CM)