Although statistical practices to evaluate intervention effects in SCEDs have gained prominence in the recent times, models are yet to incorporate and investigate all their analytic complexities. Most of these statistical models incorporate slopes and autocorrelations both of which contribute to trend in the data. The question that arises is…

Certain planned-missing designs (e.g., simple-matrix sampling) cause zero covariances between variables not jointly observed, making it impossible to do analyses beyond mean estimations without specialized analyses. We tested a multigroup confirmatory factor analysis (CFA) approach by Cudeck (2000), which obtains a model-estimated…

Single-case researchers frequently adopt a form of response-guided experimentation where decisions about the design of the study are made based on an ongoing visual analysis. For example, multiple-baseline researchers may delay the start of intervention until data document a stable baseline pattern so that baseline trends can be reliably extended,…

Randomized control trials are considered the gold standard for conducting research and estimating causal effects; however, educational research rarely lends itself to experimental design and true randomization. In recent years, there has been a growing interest in finding new approaches to estimate causal effects in nonrandomized studies in…

Methods for meta-analyzing single-case designs (SCDs) are needed in order to inform evidence based practice in special education and to draw broader and more defensible generalizations in areas where SCDs comprise a large part of the research base. The most widely used outcomes in single-case research are measures of behavior collected using…

Analysis of variance (ANOVA) was invented in the 1920s to partition variance of a single dependent variable into uncorrelated parts. Having uncorrelated parts makes the computations involved in ANOVA incredibly easier. This was important before computers were invented, when calculations were all done by hand, and also were done repeatedly to check…

Five invitational addresses presented at the Fourth National Conference of the Research Council for Diagnostic and Prescriptive Mathematics are included in this document. "The Nature of the Clinical Investigation" (Romberg and Uprichard) discusses the validity of clinical investigations and suggests guidelines for conducting such studies…

This paper addresses two audiences--those who design education trend studies that simultaneously have longitudinal and intercohort implications, and the secondary analysts who use such trend data. Four study series conducted for the U.S. Department of Education's National Center for Education Statistics (NCES) provide material for the paper: the…