The usual formula for variance depending on rounding off the sample mean lacks precision, especially when computer programs are used for the calculation. The well-known simplification of the total sums of squares does not always give benefit. Since the variance of two observations is easily calculated without the use of a sample mean, and the…

Third in a series, the monograph summarizes the key evaluation issues, design approaches, and statistical techniques used in conducting the 1980-1983 impact evaluation of Indian Education Act Title IV Part A programs. The monograph describes the major problems in evaluating the program to determine the degree of its positive contribution to…

A normally distributed data set of 1,000 values--ranging from 50 to 150, with a mean of 50 and a standard deviation of 20--was created in order to evaluate the bootstrap method of repeated random sampling. Nine bootstrap samples of N=10 and nine more bootstrap samples of N=25 were randomly selected. One thousand random samples were selected from…

This module on statistics consists of 18 worksheets that cover such topics as sample spaces, mean, median, mode, taking samples, posting results, analyzing data, and graphing. The last four worksheets require the students to work with samples and use these to compare people's responses. A computer dating service is one result of this work.…

This guide presents a classroom problem solving model designed to help teachers conduct their own classroom research. It suggests developing a procedure for identifying the instructional problems influencing reading achievement. The model is presented in steps that can be used independently or in concert with other steps. Practice activities are…

Intended as a reference for the convenience of students in sampling, this monograph attempts to express relevant, introductory mathematics and probability in the context of sample surveys. Although some proofs are presented, the emphasis is more on exposition of mathematical language and concepts than on the mathematics per se and rigorous proofs.…

This report presents the findings of a research study, conducted by the College of the Mainland (COM) as a subcontractor for Project FOLLOW-UP, designed to test the accuracy of random sampling and to measure non-response bias in mail surveys. In 1975, a computer-generated random sample of 500 students was drawn from a population of 1,256 students…

The literature on criterion referenced testing is full of discussions concerning whether classical measurement techniques are appropriate, whether variance is necessary, whether new indices of reliability are needed, and the like. What appears to be lacking, however, is a clear and simple discussion of why the problems occur. This paper suggests…

The study, prompted by a concern for the ineffectiveness of prison education programs to improve the educational level of inmates, was conducted for the purpose of investigating the effects of short term or extended tasks and financial incentives on the educational activity and achievement of the young prison inmates. The sample consisted of…

This study examines a set of hypotheses relating obsolescence to career patterns, professional activities, and certain aspects of the organizational climate in an attempt to discern the dynamics of obsolescence among graduate engineers in the United States. Based on a sample, two measures of technical obsolescence were used. One involved the…

Through utilization of effective sampling procedures, libraries may obtain substantial savings in terms of data collection costs. A theoretical statistical sampling model is presented and two types of random sampling techniques are empirically compared as to their effectiveness in estimating a library usage parameter. Implications are drawn for…

In most behavioral science research very little attention is ever given to the probability of committing a Type II error, i.e., the probability of failing to reject a false null hypothesis. Recent publications by Cohen have led to insight on this topic for the fixed-effects analysis of variance and covariance. This paper provides social scientists…

The relative power of three possible experimental designs under the condition that data is to be analyzed by nonparametric techniques; the comparison of the power of each nonparametric technique to its parametric analogue; and the comparison of relative powers using nonparametric and parametric techniques are discussed. The three nonparametric…

Five-hundred dichotomously scored response patterns were generated with sequentially independent (SI) items and 500 with dependent (SD) items for each of thirty-six combinations of sampling parameters (i.e., three test lengths, three sample sizes, and four item difficulty distributions). KR-20, KR-21, and Split-Half (S-H) reliabilities were…