Selected methods for evaluating the stability of research results empirically are described, especially with regard to multivariate analysis. It is critically important to evaluate the influences of sampling error on obtained results; statistical significance testing does not inform judgment regarding the probable replicability or the sampling…

The purpose of this study was to develop a single procedure for comparing population variances which could be used for distribution forms. Bootstrap methodology was used to estimate the variability of the sample variance statistic when the population distribution was normal, platykurtic and leptokurtic. The data for the study were generated and…

A national study of small and large high schools was undertaken in 1984 to collect data regarding the extent of curricular offerings and then to determine whether the differences were statistically significant. Two random samples were used: the first consisted of 475 schools with enrollments of less than 400 and the second was composed of 900…

A study was devised, using 20 undergraduate students chosen at random from an introductory psychology course, to measure the teaching effectiveness of two computer tutorials oriented to the spreadsheet portion of Appleworks. The first tutorial provided a data disk with pre-entered data for the user to manipulate, but no error correction…

A Monte Carlo Study was conducted to evaluate six models commonly used to evaluate change. The results revealed specific problems with each. Analysis of covariance and analysis of variance of residualized gain scores appeared to substantially and consistently overestimate the change effects. Multiple factor analysis of variance models utilizing…

A general procedure is presented for generating code values for a qualitative variable in multiple linear regression analyses that result in directly interpretable estimates of interest. The basic approach, in viewing ANOVA as a multiple regression problem, is to derive quantitative code values for the various levels of the qualitative ANOVA…

A UNIT ON EFFECTIVE THINKING, WITH THE EXPERIMENTAL FOCUS ON INFLUENTIAL THINKING, WAS PREPARED AND TESTED. A TEXT, "EFFECTIVE THINKING," WAS PREPARED. AN INEXPERIENCED TEACHER USED THE TEXT IN A NINE WEEK COURSE WITH SEVENTH GRADE STUDENTS. ONLY A POST-TEST CONTROL GROUP DESIGN WAS USED. THE TWO FACTORS STUDIED WERE TREATMENT AND SEX.…

STUDENT PERFORMANCE IN A SENIOR HIGH SCHOOL, SEQUENTIAL, CUMULATIVE CURRICULUM IN ENGLISH FOR COLLEGE-BOUND STUDENTS WAS COMPARED WITH THE PERFORMANCE OF SIMILAR STUDENTS TAKING TRADITIONAL COURSES OF INSTRUCTION. THE STATISTICAL STUDY SOUGHT TO DETERMINE WHETHER OR NOT THERE WAS A VALID BASIS FOR FURTHER DEVELOPMENT OF THE NEW CURRICULUM AND WHAT…

The statistical methods presented in this workbook focus on the display of central tendency, statistical tests, and correlation. Chapters 2, 3, and 4 consist of worksheets, each of which provides step-by-step instructions for calculating and interpreting a particular statistical method. The introduction to each worksheet explains how and when to…

Two theorems concerning F in analysis of covariance with two groups (experimental and control) and one covariable (pretest score) are presented. The first shows explicitly that F is a direct function of the ratio of the variance about the regression line for the total sample to the variance about the within-group regression line. The second…

A program obtained random samples from known populations, some of which violated the homogeneity assumption. Student t tests and Mann-Whitney U Tests were performed on the sample value. Where the t test led to incorrect decisions, the use of Mann-Whitney U test in its place led to poorer results. (JAZ)

Statistical measures of practical significance report the extent to which variation in the dependent variable can be explained by the independent variable. Reports of special education research sometimes discuss practicality using the estimate of statistical significance. Practical significance, however, may vary greatly among samples even though…

This study of 50 pairs of popular (written for layman) and technical (designed for those having specialized knowledge in particular discipline) monographs matched by subject, date of publication, and date of acquisition indicates that although technical works circulated more than popular, difference was not statistically significant. Seven…

This study describes (a) potential mathematics education leaders' professional development experiences, awareness, beliefs, and attitudes and (b) the subsequent changes in these constructs as they participated in a leadership development program. The context of the professional development was a three-week institute and a year-long follow-up. The…

In their 2004 paper "The role of Advanced Placement and honors courses in college admissions," (see ED492533) Saul Geiser and Veronica Santelices of the University of California, Berkeley, addressed the use of Advanced Placement Program (AP) and honors courses as a criterion for admission at the University of California system and…