To teach the rigorous skills and knowledge students need to succeed in future college-entry courses and workforce training programs, education stakeholders have increasingly called for more rigorous curricula, instruction, and assessments. Identifying the critical attributes of rigor and measuring its appearance in curricular materials is…

Generalized symmetric means are redefined in a way which allows them to be calculated for any matrix sampling design. It is proved that these sample generalized symmetric means are unbiased estimates of the analogous population generalized symmetric means. Illustrative examples are given. (Author)

Internal consistency as one rationale for item selection from the unverse of possible test items is discussed and formulae are presented which relate the maximum internal consistency of a test to the largest eigenvalue of the interitem correlation matrix. A computer program to perform these calculations is presented. (Author/JKS)

This article examines the utility of multi-matrix sampling as a technique in health education research that permits collection of large quantities of data without lengthy questionnaires or excessive time demands on respondents. Advantages and limitations of multi-matrix sampling are delineated through a hypothetical example. (Authors/CJ)

Described herein are formulas and computational procedures for estimating the mean and second through fourth central moments of universe scores through multiple matrix sampling. Additionally, procedures are given for approximating the standard error associated with each estimate. All procedures are applicable when items are scored either…

Standard errors of pooled mean estimate in multiple matrix sampling were compared for two procedures. The data were from tests involving items with and without replacement. The two procedures involve the formulations of Madow and Lord, and Novick; the former permits sampling of item, with or without replacement, whereas the latter is to be used…

This study is an a priori demonstration of the applicability of multiple matrix sampling techniques to the practical research problem of parameter estimation. Three tests were administered to two separate but parallel populations, with one receiving item samples and the other receiving full tests. Special efforts were made to minimize the context…

Investigated empirically through post mortem item-examinee sampling were the relative merits of two alternative procedures for allocating items to subtests in multiple matrix sampling and the feasibility of using the jackknife in approximating standard errors of estimate. The results indicate clearly that a partially balanced incomplete block…

The use of matrix sampling to overcome the impracticality of the pair comparison method for obtaining scale values is empirically tested. Results indicate that matrix sampling is useful in such applications. (Author/JKS)

The effect of stratified sampling of items based on item difficulty and/or interitem correlations on the estimation of test score distribution parameters using multiple matrix sampling was studied. Results indicated that stratification did not consistently improve the stability of parameter estimation. (Author/JKS)

Investigated empirically through post mortem item-examinee sampling was the feasibility of the jackknife as a procedure for approximating standard errors of estimate in multiple matrix sampling. The parameters estimated were the mean test score, second through fourth central moments of the test score distribution, and the variance of the item…

Investigated empirically through post mortem item-examinee sampling were the relative merits of two alternative procedures for allocating items to subtests in multiple matrix sampling and the feasibility of using the jackknife in approximating standard errors of estimate. The results indicate clearly that a partially balanced incomplete block…

Latent partition analysis is shown to be useful in determining the conceptual homogeneity of an item population. Such item populations are useful for mastery testing. Applications of latent partition analysis in assessing content validity are suggested. (Author/JKS)

The effect of stratified sampling of items on the estimation of test score distribution parameters by multiple matrix sampling was studied. Item difficulty and/or interitem correlations were the bases of stratification. Various item iniverses were created by computer simulation and sampled according to several plans. The results indicate that…

Three techniques for assessing the adequacy of correlation matrices for factor analysis were applied to four examples from the literature. The methods compared were: (1) inspection of the off diagonal elements of the anti-image covariance matrix S(to the 2nd) R(to the -1) and S(to the 2nd); (2) the Measure of Sampling Adequacy (M.S.A.), and (3)…