Developing a student testing mathematical model for instructional management purposes necessitates clear structuring of the curriculum materials involved, whether designated in the domain of content or the dimension of concepts or skills. Such structuring of a course written in performance objectives is presented and noted to be helpful in making…

Statistical procedures employed in item analysis are based on the performance of the individual on a given test. If, however, one desires to assess the efficiency of some treatment, the researcher is interested in the performance of groups of students who received the treatment rather than in the performance of any one individual. In such cases…

This paper comments on Gagne's classification scheme with respect to learning outcomes, and offers a research design appropriate for instructional research studies. It challenges certain assumptions concerning correspondence between subject matter and categories, and asserts that the logic of experimental analysis should be applied to…

The problem of blocking on a status variable was investigated. The one-way fixed-effects analysis of variance, analysis of covariance, and generalized randomized block designs each treat the blocking problem in a different way. In order to compare these designs, it is necessary to restrict attention to experimental situations in which observations…

The problem of test bias has been a growing concern in recent years. Of the several available methods for determining test bias, probably the most effective means involves collecting criterion information. This data collection process often provides a considerable barrier to the researcher, especially for the small test user and for someone who…

Suppose P to the subpower of 1 and P to the subpower of 2 are two competing discrimination procedures. To compare the relative discriminatory power of both procedures, test statistics are suggested for the hypothesis that P to the subpower of 1 and P to the subpower of 2 performed no better than random assignment versus the alternative that P to…

The Dunnett procedure for comparing several treatment means with a control is applied to the problem of comparing several treatment variances with the variance of a control. Appropriate critical values are specified and an example is provided. (Author)

Three dimensional contingency tables in which one variable is considered to be a factor and the other two variables have a natural relationship (such as left and right eye vision) are analyzed. Models involving symmetry and proportional symmetry between the related variables are also presented. (Author/JKS)

Multiple matrix sampling is applied to a variation of Angoff's standard setting method. Thirty-six experts (internists) and 190 items were divided into five groups, and borderline examinee performance was estimated. There was some variability in the cutting scores produced by the individual groups, but various components were well estimated. (SLD)

Describes the loglinear model, and applies it to categorical data cross-tabulated on four dimensions. Defines contrasts similar to those of the analysis of variance and describes post hoc and planned comparison strategies. Illustrates hypothesis testing and model building for categorical data, providing guidelines for performing an analysis on…

Evaluated the extent to which the Graduate Record Examinations General Test measures the same constructs for older test takers that it does for younger examinees. Results suggest that the convergent validity of the test is similar across the age groups, but discriminant validity is somewhat different for older examinees. (Author/RWB)

The paper presents a unified approach to some of the more popular nonparametric methods in current use, providing the reader with new insights by exhibiting relationships to relevant population parameters. (Author/LMO)

Six behavioral statistics textbooks listed by their publishers as "bestsellers" during 1982 were reviewed by the author. The intent was to detect the presence of and to discuss the nature of some theoretical inferential inaccuracies, misinterpretations and errors. (Author/LMO)

This article presents a system for avoiding Type I error increases when increasing the number of contrasts computed. Based on the Bonferroni inequality, the procedure corrects for the number of contrasts tested. Although conservative, the Bonferroni system is recommended for its flexibility, simplicity, and generality. (Author/BS)

While Bonferroni procedures control the risk of Type I errors, their cost is loss of power. Ordered Bonferroni procedures conserve power for more important tests while sacrificing power for less important tests. Both costs and benefits should be considered when choosing weights for individual tests and the overall level of Type I error protection.…