Studied the conditions under which the quasi-Markov simplex model fits a linear growth curve covariance structure and determined when the model is rejected. Presents a quasi-Markov simplex model with structured means and gives an example. (SLD)

Presents permutation procedures that jointly test for differences in location and scale among treatments in a completely randomized experimental design. Also considers extensions to multivariate data and provides efficient alternative permutation tests. (SLD)

Compared the analysis of variance (ANOVA) "F" and several nonparametric competitors for two-way designs for empirical alpha and power through simulation. Results suggest the ANOVA "F" suffers from conservative alpha and power for the mixed normal distribution, but is generally recommended. (Author/SLD)

Estimated Type I error rates for three tests that compare means by testing data from two independent samples: (1) the independent samples "t" test; (2) B. Welch's approximate degrees of freedom test (1938); and (3) G. James's second-order test (1951, 1954). Results provide guidance about the total sample sizes required for controlling Type I error…

Describes the scaling constant "d" = 1.702, used in Item Response Theory, which minimizes the maximum difference between the normal and logistic distribution functions. Recapitulates the theoretical and numerical derivation of "d" given by D. Haley (1952). (SLD)

Describes the one-sample runs test, which is used to identify a nonrandom pattern in a sequence of dichotomous elements. Demonstrates that this test is incapable of signaling departures from randomness with run lengths of two. Such run lengths generate a unique category of anomaly in the overall performance of the test. (SLD)

This book is a solid introduction to applied statistics emphasizing computational statistics that can be done with a simple calculator. Because of the progress in speed and power of computers since the first edition in the 1970s, the book is behind in giving information on practical computation. (SLD)

The Rasch Poisson Counts Model, a unidimensional latent trait model for tests that postulates that intensity parameters are products of test difficulty and subject ability parameters, is expanded into the Dirichlet-Gamma-Poisson model that takes into account variation between subjects and interaction between subjects and tests. (SLD)

Simplified formulas are proposed for computing the standard errors of equipercentile equating for continuous and discrete test scores. These formulas are easily extended to more complicated equating designs. Results from a study of 719 subjects taking an English test indicated that the formulas work reasonably well for moderate-size samples. (SLD)

Two new methods of estimating the mean population correlation (M) and the standard deviation of population correlations (SD) were suggested and tested by Monte Carlo simulations. Results show no consistent advantage to using the Pearson correlation or Fisher's Z in estimating M or SD; estimates from all methods are similar. (SLD)

The specification and estimation of school effects, the variability of effects across schools, and the proportion of variation in student outcomes attributable to differences in school context and practice are considered. A statistical model is presented that defines school effects for parents choosing a school and for agencies evaluating school…

Large-sample standard errors of linear equating for the counterbalanced design are derived using the general delta method. Computer simulations found that standard errors derived without the normality assumption were more accurate than those derived with the normality assumption in a large sample with moderately skewed score distributions. (SLD)

An extended marginal homogeneity model is introduced for the analysis of square contingency tables with the same ordinal row and column classifications. The model hypothesizes that the ratio in each column of table delta will exhibit an exponential function of the column. (SLD)