Common applications of the part correlation coefficient are in causal regression models and estimation of suppressor variable effects. However, there is no statistical test of the significance of the difference between a zero-order correlation and a part correlation, nor between a pair of part correlations. Hotelling's t is used for contrasting:…

Analysis strategies are discussed for the nonequivalent control group design when three models of continuous natural growth are known. For Model I type natural growth it was shown that the fan spread hypothesis always holds, and Analysis of Covariance (ANCOVA), Analysis of Variance (ANOVA) of Residualized Gain Scores, and ANOVA of Standardized…

THIS NOTE PRESENTS MODELS FOR PASSING JUDGMENT ON THE IMPORTANCE OF PROJECTS. TWO APPROACHES ARE CONSIDERED--PROJECTS WITH TWO ATTRIBUTES, PRIORITY AND DEADLINE DATES, AND PROJECTS WITH K ATTRIBUTES. THE SOLUTIONS ARE ILLUSTRATED THROUGH EXAMPLES AND BY AN ALGORITHM PRESENTED IN A COMPUTER REFERENCE LANGUAGE TO SHOW HOW ONE OF THE SOLUTIONS CAN BE…

AN EMPIRICAL STUDY WAS MADE OF THE ERROR FACTORS IN MULTIDIMENSIONAL SCALING (MDS) TO REFINE THE USE OF MDS FOR MORE EXPERT MANIPULATION OF SCALES USED IN EDUCATIONAL MEASUREMENT. THE PURPOSE OF THE RESEARCH WAS TO GENERATE TABLES OF THE SAMPLING DISTRIBUTIONS THAT ARE NECESSARY FOR DISCRIMINATING BETWEEN ERROR AND NONERROR MDS DIMENSIONS. THE…

EXPERIMENTS WERE PERFORMED TO DETERMINED HOW MENTALLY RETARDED AND NORMAL SUBJECTS SYNTHESIZE STIMULI WITH RESPONSES. ALSO, RELATIONSHIPS AMONG THE STIMULUS SYNTHESIS PROCESS, INTELLIGENCE, AND RATE OF LEARNING WERE STUDIED. DISCRIMINATION TASKS WERE USED WHICH REQUIRED SUBJECTS, NORMAL (COLLEGE, HIGH SCHOOL, AND GRADE SCHOOL ENROLLEES) AND…

This paper proposes a systematic model for objectively structuring the information exchanged between the bargainers in either the mediation or conciliation processes. The model is intended to be useful to mediators in organizing proposals to use with bargainers. The authors examine possibilities for an educational organization that uses…

This report refines and improves upon a conceptual model and a mathematical procedure, based upon a blend of Likelihood Function Estimation (LIFE) and utility theory. Empirical studies conducted by the Air Force Military Personnel Center in 1975 and 1976 have shown that the LIFE procedure can be very useful in the prediction and study of…

This paper attempts to show that adaptation of mathematics to the input-output model of the school can provide powerful assistance in the measurement and analysis of school quality and its determinants. The mathematical relationship described here relates an educational model to the field of electronics. More specifically, the amplifier, a device…

Linear programming models are used in an attempt to answer the question of whether more or better schools should be developed. The criterion function is the maximization of the product of education, measured either in income or school years. The model is varied throughout the paper by confronting the criterion function with a variety of…

A number of different definitions and indices of reliability for mastery tests have recently been proposed in an attempt to cope with possible lack of score variability that attenuates traditional coefficients. One promising index that has been suggested is the proportion of students in a group that are consistently assigned to the same mastery…

A method of estimating the parameters of the Rasch Model removing the effect of ramdom guessing is presented. The procedure is an application of the ARRG (Abilities Removing Random Guessing) model recently developed for two parameter latent trait models. Under the Rasch model ARRG provides for estimation of abilities, removing the effects of…

The power of a statistical test is, in part, a function of the reliability of the dependable variable being analyzed. The substitution of sigma square divided by the reliability coefficient for sigma is proposed. This enables the researcher to incorporate dependent variable reliability information when determining the sample size required for a…

POLYFACT is a learning program that attempts to factor multivariable polynomials. The program has been successful in factoring polynomials (in simplified form) with a maximum of 84 terms, each term consisting of as many as five variables and a maximum degree of 67. The complexity of this learning task placed unusual requirements on the…

This paper introduces a model for describing outliers (observations which are extreme in some sense or violate the apparent pattern of other observations) in linear regression which can be viewed as a mixture of a quadratic and a linear regression. The maximum likelihood estimators of the parameters in the model are derived and their asymptotic…

The statistical technique of analyzing data collected at regular intervals to reveal periodic components of the data is described by reference to actual records. The data chosen for illustration include tide height in a river; biochemical oxygen demand and dissolved oxygen in the same river; discharged salt into a river system and its relation to…