The mathematical extension from scalars to matrices as a prerequisite for univariate to multivariate generalizations of statistical concepts and methods is discussed. One reason for several alternative techniques is the multitude of ways to generalize from univariate concepts to multivariate concepts. The additional complexity, and lack of…

Important differences in the theory and practice of quantitative and qualitative research methodologies are highlighted. This article suggests that each of these methodologies can be improved by utilizing key ingredients of the other. (Author/IAH)

Replies to a report on three toddlers who evidenced a late vocabulary spurt. The article argues that differences in assessing productive vocabulary and the questionable inference that size of the lexicon is a reliable indicator of the vocabulary spurt make it inappropriate to compare these children to previous studies directly measuring change in…

Analyzes the logical basis of testing developmental order hypotheses with categorical measures. Argues that depending on whether saltatory or continuous developmental changes are being assessed, the observed relationship between categorical measures yields different types of information about developmental ordering. Maintains that when change is…

Reviews case against using traditional statistical methods in educational research. Examines "fantasies" entertained by researchers about the meaning of statistical significance. Recommends abandoning statistical significance testing and suggests other ways of evaluating research results. Advocates a return to the scientific method of examining…