Three topics in factor analysis are covered: a) a reliability coefficient for assessing the quality of a maximum likelihood factor analysis, b) an application of three-mode factor analysis to serial learning data, showing variations in learning curves over stages of learning and individuals, and c) the use of personal probability functions to…

Besides the ubiquitous Pearson product-moment r, there are a number of other measures of relationship that are attenuated by errors of measurement and for which the relationship between true measures can be estimated. Among these are the correlation ratio (eta squared), Kelley's unbiased correlation ratio (epsilon squared), Hays' omega squared,…

Recent studies have shown that in heterogeneous populations differential validities are often found in the population subgroups. In the light of the increasing societal emphasis on higher education, the valid prediction of academic success for all racial groups has become a necessity. This study is concerned with the differential validity for…

Guttman's "rank-reduction" theorem is employed to demonstrate how most of the algebra and computational work for standard correlational and analysis of variance methods can be examined within a single matrix system. Analyses of both correlational and experimental data are illustrated with an easy-to-use computer program. This application…

Aitkin's generalized least squares (GLS) principle, with the inverse of the observed variance-covariance matrix as a weight matrix, is applied to estimate the factor analysis model in the exploratory (unrestricted) case. It is shown that the GLS estimates are scale free and asymptotically efficient. The estimates are computed by a rapidly…

Fifty-seven seventh and 60 eighth graders were divided into three reading ability groups. All were given the Wechsler Intelligence Scale for Children (WISC) prior to the study and the Gates-MacGinitie Reading Test Survey E for grades 7 to 9 immediately after the study. A practice sample was given before the tests on prepared vowel deletion and…

A statistical analysis of the effect of television commercials on children, this study found that children both like and believe television commercials. Middle Western children from grades two through five rated four videotaped TV commercials, selected at random, on a scale of true/false, happy/not happy, real/not real, stupid/smart, nice/not…

This document consists of unrevised lecture notes for the first half of a 20-week in-house graduate course at Rand Corporation. The chapter headings are: (1) Histograms and descriptive statistics; (2) Measures of dispersion, distance and goodness of fit; (3) Using JOSS for data analysis; (4) Binomial distribution and normal approximation; (5)…

The subjective magnitude estimation (SME) procedure was used to obtain estimates of relative word frequency from two adult groups (15 lexicographers, 13 other adults) for 60 words ranging widely in objective frequency. Lexicographers rendered more reliable estimates, and their averaged data correlated more highly with objective log frequency than…

A correlational analysis was conducted between scores obtained on the Is of Identity Test (IOI) and the Attitude Toward Disabled Persons Scale (ATDP) by 105 graduate and undergraduate university students enrolled in an introductory special education course. The IOI is a 100 item scale designed to measure social adjustment, while the ATDP measures…

Statistics are an essential tool for making proper judgement decisions. It is concerned with probability distribution models, testing of hypotheses, significance tests and other means of determining the correctness of deductions and the most likely outcome of decisions. Measures of central tendency include the mean, median and mode. A second…

Recent years have seen many attempts to program learning based on many principles ranging from intuition to mathematics. The area of criterion establishment for advancement or conversely additional training at the same or lower levels remains primarily in the realm of intuition. The intuition used is only as good as the experience and background…

This study examines a common set of equating items for their appropriateness to both American and Canadian populations and, to determine the equations for converting scores from the verbal and mathematical scales of the 1971 form of the Canadian Scholastic Aptitude Test (the future standard continuing scales of the CSAT) to the corresponding…

AN INVESTIGATION WAS MADE TO DETERMINE WHETHER STUDENTS WHO RECEIVED SPECIFIC ASSISTANCE WITH READING SKILLS IN ARITHMETIC SHOWED SUPERIOR ACHIEVEMENT IN THEIR READING AND ARITHMETIC WHEN COMPARED WITH A SIMILAR GROUP WHO DID NOT RECEIVE SUCH ASSISTANCE. FIFTEEN SCHOOLS WERE SELECTED FROM APPROXIMATELY 70 MEMBER SCHOOL DISTRICTS OF THE…

In an extension of an earlier study by Cline, Croft, and Courrier (1973) the effects of amount of television viewing and preference for televised violence upon autonomic responses to violent and nonviolent videotaped movie sequences were examined. Thirty-six male undergraduates watched a six-minute portion of a boxing film and a six-minute portion…