This paper presents an index of goodness-of-fit for comparing m models over n trials. The index allows for differentiated weighting of the trials as to their importance in the comparison of the models. Several possible weighting schemes are suggested and the conditions on the weights which assure asymptotic normality of the index distribution are…

This paper discusses the use of contrast coefficients in multiple linear regression models, and shows how they can provide for a logical method of analysis in both the analysis of variance and the analysis of covariance. (CK)

Texts often suggest running preliminary tests for homogeneity of variance prior to running an ANOVA. While it has been known for some time that most of the suggested tests are probably not appropriate, they are still being used. This paper is a review of the literature in terms of the implications involved in running preliminary tests in general…

Neglected issues of simultaneous statistical inference and statistical power in survey research applications of the general linear model are reviewed, and it was found that classical hypothesis testing as it is currently applied, is inadequate for the purposes of social research. The intelligent use of statistical inference demands control over…

A recent study (Blair and Higgins, 1980) indicated a power advantage for the Wilcoxon W Test over student's t-test when calculated from a common mixed-normal sample. Results of the present study indicate that the t-test corrected for outliers shows a superior power curve to the Wilcoxon W.

Occupational theory research has been associated with low statistical power and a high rate of Type II errors. To increase power, a procedure involving the partitioning of the decision region into three sections, based on the decision-theory approach to significance testing, is proposed. (SK)

Compares three methods of analyzing pairwise treatment differences in a multi-treatment experiment via computer simulation techniques. Under the equal n condition, the robustness of the conventional Tukey Wholly Significant Difference test (WSD) to heterogeneous variances was contrasted with two alternate techniques. Under unequal n conditions,…

Two psychological experiments--Anderson and Shanteau (1970), Berkowitz and LePage (1967)--are reanalyzed to present the problem of the relative importance of low Type 1 error probability and high power when answering a research question by testing several statistical hypotheses. (Author/PN)

The Guttman scale is discussed from the viewpoint of errors in response patterns. The errors are assumed to be distributed as a binomial. A double-barreled significance test is suggested having two probabilities: high probability and low probability. (Author)

This article first outlines the logic of null hypothesis testing and the problems of using it to evaluate special education research. It then presents three alternative metrics, a binomial effect size display, a relative risk ratio, and an odds ratio, that can better identify important treatment effects using illustrative data from recently…

This article compares three models that have been the foundation for approaches to the analysis of statistical significance in early childhood research--the Fisherian and the Neyman-Pearson models (both considered "classical" approaches), and the Bayesian model. The article concludes that all three models have a place in the analysis of research…

This article explains and illustrates the estimation of the power of statistical tests used to analyze data in early childhood special education research, and discusses advantages and disadvantages of various ways to increase power, such as using a directional alternate hypothesis or using a parametric, rather than nonparametric, statistical test.…

The disparity between methodology and empirical research literature is examined to suggest a cause for the casual acceptance of null hypotheses simply because obtained differences are not statistically significant. Analysis of training for psychological researchers suggests that programs have not emphasized the comprehensive evaluation of all…

Researchers, journal editors, textbook authors, and those responsible for writing publication manuals must work together to enhance the thoughtful reporting of statistical results and to make clear the necessity for reporting effect sizes. (SLD)