This paper presents an algorithm for determining the number of items to measure each objective in a criterion-referenced test when testing time is fixed and when the objectives vary in their levels of importance, reliability, and validity. Results of four special applications of the algorithm are presented. (BS)

The effectiveness of various tailored testing strategies for use in objective based instructional programs was investigated. The three factors of a tailored testing strategy under study with various hypothetical distributions of abilities across two learning hierarchies were test length, mastery cutting score, and starting point. (Author/JKS)

When determining criterion-referenced test length, problems of guessing are shown to be more serious than expected. A new method of scoring is presented that corrects for guessing without assuming that guessing is random. Empirical investigations of the procedure are examined. Test length can be substantially reduced. (Author/CM)

A problem of considerable importance in certain educational settings is determining how many items to include on a mastery test. Applying ranking and selection procedures, a solution is given which includes as a special case all existing single-stage, non-Bayesian solutions based on a strong true-score model. (Author/JKS)

A new method was developed to assist in the selection of a test length by utilizing computer simulation procedures and item response theory. A demonstration of the method presents results which address the influences of item pool heterogeneity matched to the objectives of interest and the method of item selection. (Author/PN)

This special issue covers recent technical developments in the field of criterion-referenced testing. An introduction, six papers, and two commentaries dealing with test development, test score uses, and evaluation of scores review relevant literature, offer new models and/or results, and suggest directions for additional research. (SLD)

Two approaches to criterion-referenced test construction are compared. Classical test theory is based on the practice of random sampling from a well-defined domain of test items; latent trait theory suggests that the difficulty of the items should be matched to the achievement level of the student. In addition to these two methods of test…

Addressing the shortcomings of classical item statistics for selecting criterion-referenced test items, this paper describes an optimal item selection procedure utilizing item response theory (IRT) and offers examples in which random selection and optimal item selection methods are compared. Theoretical advantages of optimal selection based upon…

When criterion-referenced tests are used to assign examinees to states reflecting their performance level on a test, the better known methods for determining test length, which consider relationships among domain scores and errors of measurement, have their limitations. The purpose of this paper is to present a computer system named TESTLEN, which…

The purpose of the investigation was to obtain some relationships among (1) test lengths, (2) shape of domain-score distributions, (3) advancement scores, and (4) several criterion-referenced test score reliability and validity indices. The study was conducted using computer simulation methods. The values of variables under study were set to be…

Reviewing psychometric and statistical developments in criterion- referenced testing, this paper presents six sections: uses of criterion- referenced test scores, reliability of criterion-referenced test scores, determination of test length, determination of cut-off scores, test development and validation, and summary and suggestions for further…

Four factors essential to determining how many items should be constructed or sampled for a set of objectives are examined: (1) importance and type of decisions to be made with the results; (2) importance and emphases assigned to the instructional and behavioral objectives; (3) number of objectives; (4) practical constraints, such as item writing…

The problem of determining optimal test lengths with fixed total testing time has proved to be a difficult one for criterion-referenced test developers. An algorithm is needed which can be used by test developers to allocate available testing time to maximize the validity of their total criterion-referenced tests or testing programs. To be…

Four main approaches to customized testing are described, and their resulting scores' valid uses and interpretations are discussed. Customized testing can yield valid normative and curriculum-specific information, although cautious application is needed to avoid misleading inferences about student achievement. (SLD)

In a program of Individually Prescribed Instruction (IPI), where a student's progress through each level of a program of study is governed by his performance on a test dealing with individual behavioral objectives, there is considerable value in keeping the number of items on each test at a minimum. The specified test length for each objective…