Experimental psychology is witnessing an increase in research on individual differences, which requires the development of new tasks that can reliably assess variations among participants. To do this, cognitive researchers need statistical methods that many researchers have not learned during their training. The lack of expertise can pose…

It has been argued that item variance and test variance are not necessary characteristics for criterion-referenced tests, although they are necessary for norm-referenced tests. This position is in error because it considers sample statistics as the criteria for evaluating items and tests. Within a particular sample, an item or test may have no…

Achievement tests which are specifically linked to an instructional program and have been developed in relation to an objectives base and/or to an item generation rule are considered, as well as student response data. Three types of studies are outlined and the kind of procedures thought useful illustrated. As various methods for examining…

Maximum likelihood factor analysis provides an effective method for estimation of factor matrices and a useful test statistic in the likelihood ratio for rejection of overly simple factor models. A reliability coefficient is proposed for analysis of factor solution. (Author/RK)

Sixteen item statistics recommended for use in the development of criterion-referenced tests were evaluated. There were two major criteria: (1) practicability in terms of ease of computation and interpretation and (2) meaningfulness in the context of the development process. Most of the statistics were based on a comparison of performance changes…

In order to meet the needs of all the Armed Services, new forms of the Armed Services Vocational Aptitude Battery (ASVAB) must periodically be developed, refined, and standardized on an appropriate normative sample. Since one of the uses of the ASVAB is to determine candidate suitability for military service, it is necessary for the…

Empirical evidence is presented related to the effects of using a stratified sampling of items in multiple matrix sampling on the accuracy of estimates of the population mean. Data were obtained from a sample of 600 high school students for a 36-item mathematics test and a 40-item vocabulary test, both subtests of the Iowa Tests of Educational…

A general process for testing the feasibility of applying alternative mathematical or statistical models to the solution of a practical problem is presented and flowcharted. The system is used to compare five models for test equating: (1) anchor test equating using classical test theory; (2) anchor test equating using the one-parameter logistic…

The concept of tailored testing for individuals is applied to the construction of tests for special groups and extended to apply to item content as well as item difficulty. It is suggested that evaluators may decide to construct tests on the basis of a unique combination of items drawn from an item bank to fit the need of a particular group. At…

The National Assessment of Educational Progress (NAEP) has completed two assessments of mathematics, the first conducted in 1972-73 and the second during 1977-78. Each assessment surveyed the mathematics achievement of American 9-, 13-, and 17-year-olds, using a deeply stratified, multi-stage probability sample design. This report documents…

A central problem for the user of domain-referenced tests in instruction is deciding who has passed and who has failed. Two procedures were presented and discussed. The first, employing classical test theory, was found to be more useful for larger domains and where the passing standard is 70 percent or less. The sampling procedure suggested by…