Faced with a nonstandard, complicated practical problem in statistical inference, the applied statistician sometimes must use asymptotic approximations in order to compute standard errors and confidence intervals and to test hypotheses. This usually requires that he derive formulas for one or more asymptotic sampling variances (and covariances)…

This volume contains descriptions and statistical properties of test scales used with grade 10 through grade 12 students in the National Longitudinal Study of Mathematical Abilities (NLSMA). Each scale is designed to measure a specified content or psychological area chosen as a dependent variable for the study. The scales are briefly identified…

This volume contains descriptions and statistical properties of test scales used with grade seven through grade eight students in the National Longitudinal Study of Mathematical Abilities (NLSMA). Each scale is designed to measure a specified content or psychological area chosen as a dependent variable for the study. The scales are briefly…

This monograph contains the second section, operations at the variable level, of a report of studies done in Helsinki, Finland, describing school achievement in terms of ability, trait, situational, and background variables. The report (1) investigates the structure of school achievement, (2) describes school achievement in terms of selected…

The objective of the study is to convince educational researchers of the necessity for "standard mastery curves" for the graphical representation of scores on summative tests for a group of students. Attention is drawn to the study of theoretical and empirical skew curves in education and biology. Use of standard mastery curves and study…

The results obtained from the studies in the first strand, including evidence of replicability of findings, are summarized. Main emphasis is on the findings of the Structure of Concept Attainment Abilities Project with respect to the study of the relations between the two sets of variables. The number of dimensions and the character of the…

Equations are derived to enable the graphic approximation of the item parameters of the stochastic mental test models, i.e., the generalized normal ogive and logistic models. The item parameters for the models are discriminatory power, difficulty, and probability of chance success. Suggested uses for the approximations were to provide a basis for…

The authors examine published research in speech communication and evaluate its potential for theory development. Two major suggestions are advanced that will facilitate the quest for viable theory of speech communication. First, research should begin to focus on relevant communication behaviors rather than merely using them as convenient contexts…

The basic objective of the study was to determine the validity of four new indices of item quality. Three of these were based on analyses of differential, empirical weights for item choices, and the fourth was designed to measure the relative attractiveness of distracters. A secondary objective was to ascertain the validity of the conventional…

An experimental study of the efficiency of human information processing is based on the Bayesian model for simple hypothesis testing with fixed binomial sampling. Each of 60 subjects is analyzed with separate ANOVAs focusing on two efficiency variables. Sample size and critical value are also analyzed. Subjects show very different utilization of…

Five three-variable combinations were obtained from a variety of standardized test scores of 331 male children. These five groups were treated as unrestricted populations of the case III variety. Extreme univariate selection was produced in each group allowing for tests of differences between the correlation values of the two incidental variables…

A 4 x 4 factorial experiment was conducted with 152 college age volunteers to investigate the effects of different forms of mathemagenic information (algorithms, heuristics, attribute elaboration, and attribute isolation) on concept acquisition. Results showed that both definition and instance presentation had a significant effect on students'…

In this paper it is shown how statistical methodology may be used to help reach decisions about new teaching techniques. Using analysis of variance techniques, three particular evaluation methods are compared with respect to their effect on the learning process. (Author/MN)

The results of the present study suggested that PPVT and SIT IQs are not directly comparable to the WISC-R IQs when the moderate to low correlation coefficents are considered. In addition, the SIT appears to be more comparable to the WISC-R than does either Form A or Form B of the PPVT. (Author)

An important determinant of equating process efficiency is the correlation between the anchor test and components of each form. Use of some monotonic function of this correlation as a measure of equating efficiency is suggested. A model relating anchor test length and test reliability to this measure of efficiency is presented. (Author/DWH)