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 study tested a variation of the random response surveying strategy designed for lengthy questionnaires to be used in group administrations or mail surveys. A questionnaire was mailed to a random sample of 3,000 company grade officers divided into three groups. One group received a conventional questionnaire. The second group received a random…

Procedures are presented for equating simultaneously several tests which have been calibrated by the Rasch Model. Three multiple test equating designs are described. A Full Matrix Design equates each test to all others. A Chain Design links tests sequentially. A Vector Design equates one test to each of the other tests. For each design, the Rasch…

Decision theoretic testing was used to explore whether junior high students could improve their tendencies to make realistic assessments of what they knew. In nine sessions over a period of three weeks, 49 seventh graders used computer terminals to record probability values in the form of logarithmic equivalents for each alternative in a…

Each of the ten chapters in this volume is intended to present an objective analysis of the trends of some important subtopic in mathematics education and each includes a bibliography for fuller study. The chapters cover primary school mathematics, algebra, geometry, probability and statistics, analysis, logic, applications of mathematics, methods…

A numerical procedure is outlined for obtaining an interval estimate of a parameter in an empirical Bayes estimation problem. The case where each observed value x has a binomial distribution, conditional on a parameter zeta, is the only case considered. For each x, the parameter estimated is the expected value of zeta given x. The main purpose is…

This study examines quantification of the instructional process through the use of Markov chaining, and by considering the transition probabilities within a framework provided by the taxonomy used, attempts to obtain information about behavior sequences common to all lessons. (Author/DLG)

The objective of this research was to explore changes in occupational expectations of a sample of Texas youth within the framework of Ginzberg's formulation of "increasing realism of choice." Using standard multiple regression procedures, changes over time in level of occupational expectations were analyzed with respect to 4 sets of…

Five activity lessons are proposed to present applications of probability and to exhibit its use in conjunction with statistics as a major decision-making and problem-solving tool. (MP)

Student's empirical sampling approach is used to assess the magnitude of the sampling errors of statistics describing a recursive causal model. The data were gathered with four complex sample designs commonly used in educational surveys. Jackknife and half-sample error estimates are applied to the data. (Author/CTM)

An "inference can" is described, with two games that allow students to observe and predict events, define population, and draw samples. (MP)

Focus is on two areas: (1) the factors available to the selection committee when students apply for admission into graduate programs, and (2) those factors emerging after admission, resulting from students' meeting program-imposed requirements for graduation. Program variables are shown to be more important than admission variables. (Author/LBH)

Presents noncalculus approximation techniques for two normal distribution problems. These methods may be useful projects for lower-level undergraduate statistics and computer science students. (PK)

Describes a series of activities without conclusions to introduce scientific reasoning in a ninth grade physical science course. Uses popcorn popping to get students to think about the concepts of graphing, histograms, frequency, probability, and scientific methodology. (CW)

Described is a unit, SAMPLING, which focuses on developing student understanding of probability and data collection for junior high school students. Activities in SAMPLING incorporate physical materials, simple computer simulations, surveys of subjective data, computer simulations of complex situations, and a culminating activity requiring the…