Estimated Type I Error rates and power are reported for the Brown-Forsythe, O'Brien, Klotz, and Siegal-Tukey procedures. The effect of aligning the data using deviations from group means or group medians is investigated. (RB)

Discusses the controversy over the limits that scales of measurement impose on the statistical procedures on the statistical procedures we may apply, using the measurement-theoretic concept of meaningfulness in the analysis of these limits. (RB)

The average response method (ARM) of scaling nonbinary data was developed to scale data from the assessments of writing conducted by the National Assessment of Educational Progress (NAEP). The method is described and illustrated with data from the 1983-84 NAEP. (SLD)

Preceeding through the development of a sequence of paired calibrations determined by a hierarchical clustering algorithm, the proposed method of constructing a universal criterion scale does not rely on covariate information. The procedure is illustrated with data from American law schools. (Author/BW)

A universal criterion scale is applied to the direct estimation of validity for various groups of law school applicants and to the testing of the assumptions underlying the more familiar extrapolation methods. Data from American law schools are used to illustrate the procedures. (Author/BW)

Three methods of test equating (linear, equipercentile, and item response theory) were investigated with respect to the issue of scale drift. Results indicate that all three models work well in limited settings but that the item response theory approach provided the most stable results overall. (JKS)

The National Assessment of Educational Progress (NAEP) makes possible comparison of groups of students and provides information about what these groups know and can do. The scale anchoring techniques described in this chapter address the latter purpose. The direct method and the smoothing method of scale anchoring are discussed. (SLD)

Scaling methodologies used in analysis of National Assessment of Educational Progress (NAEP) surveys since 1984 are reviewed. The plausible values methodology developed for NAEP scale-score analyses is described in the contexts of item response theory and average response method scaling. Current NAEP research in scaling is discussed. (SLD)

The need for scale linking in the National Assessment of Educational Progress (NAEP) is discussed, and the specific procedures used to carry out the linking in the context of the major analyses of the 1990 NAEP mathematics assessment are described. Issues remaining to be addressed are outlined. (SLD)

Several developments growing out of the National Assessment of Educational Progress (NAEP) are reviewed, with a discussion of their extension and application to other projects. These developments include: (1) complex matrix item sampling designs; (2) performance-based items in large-scale assessments; (3) vertical scaling; and (4) innovative…