A Monte Carlo study was performed to test under what conditions and to what degree various alternatives would be superior to multiple linear regression (MLR). The criteria used was the mean squared error of prediction of individual scores and the mean squared error of estimation of the regression weights. Populations were simulated containing…

A Monte Carlo study was conducted to estimate the efficiency of and the relationship between five equations and the use of cross validation as methods for estimating shrinkage in multiple correlations. Two of the methods were intended to estimate shrinkage to population values and the other methods were intended to estimate shrinkage from sample…

As a companion study to the primary analysis of the Management Implications of Team Teaching (MITT) study, the unitized schools in this study were examined alone for predictors of differential success in implementing the innovation. This report briefly describes how the MITT staff handled a problem in the companion study of reducing the number of…

A general class of regression models for ordered categorised data is developed and discussed. Thier properties are contrasted with log linear models and other methods of analysis. The general problem of fitting by maximum likelihood is discussed and solved. The models are shown to be multivariate extensions of generalised linear models and the…

The purpose of the present paper is to measure the effectiveness of a differential add-on grant program, Title I of the Elementary and Secondary Education Act. The evidence presented shows that this kind of grant program does increase local spending by much more than would be expected of a traditional block grant. The point estimate of the…

Identification of cues on the major factors affecting judgment is discussed in this paper. The advantages and weaknesses of five approaches to identifying, selecting, and defining features of objects or activities to be judged is examined. These features are: (1) logical specification; (2) expert opinion; (3) prespecification and narrowing of a…

The degree of nonorthogonality in a factorial design was systematically increased. Five methods of dealing with nonorthogonality were selected and applied: two were least squares solutions (Method 1 and Method 2); two were approximate solutions (the unweighted means analysis and the method of expected frequencies); and the fifth was the…

Management Engineering Teams (MET) were used in the development and testing of a methodology for determining non-aircrew officer grade requirements. The methodology tested was an extension of the Officer Grade Requirements (OGR) procedure developed during the 1963-1966 time period. In the OGR project, a criterion board rated 3,575 officer jobs for…

Properly manipulated residuals resulting from "status predicting status" regressions constitute a precise and unique measurement of status inconsistency without the definitional and methodological problems and limitations of simple and simultaneous cross-classification techniques associated with the typical "dummy variable regression" approach.…

The absence of suitable external criteria is a recurrent problem for test, battery, and inventory developers in selecting items or tests for inclusion in final operational instruments. This report presents a computing algorithm developed for use when no adequate external selection criterion is available. The algorithm uses a multiple linear…

Three procedures are examined that educational researchers can use to analyze quantitatively the extent to which modifications of specific teacher behaviors lead to changes in student achievement. The task requires decent descriptions of the behaviors, appropriate statistical tools and measures of student outcomes that are worth while examining.…

The relationship of certain input variables to output was determined by a multiple regression analysis, using a sample of 44 suburban elementary school districts. The four input factors were: (1) socioeconomic characteristics, (2) assessed valuation, (3) per-pupil operating expenditure, and (4) educational treatments. The output was mean scores on…

Examples of the use of Multiple Linear Regression (MLR) techniques are presented. This is done to show how MLR aids data processing and decision-making by providing the decision-maker with freedom in phrasing questions and by accurately reflecting the data on hand. A brief overview of the rationale underlying MLR is given, some basic definitions…

This study reports an attempt to explore within a heterogeneous population the pattern of influence which selected maternal traits exert on internal locus of control at age 5 years. Information on the relevant variables was retrieved from the computer-based data bank of the St. Louis Baby Study. The maternal traits used for prediction included the…

The applicability of a mathematical theorem designed to trace causality of a three-variable path that consists of an initial cause variable, an intermediate variable, and a final-effect variable with control over other system variables is evaluated. The formula was used with a horizontal rather than a normal distribution, as had been done in an…