This text promotes cross-disciplinary research into the modelling of the ever increasing complex data involved in scientific and technological research. It shows where and how to apply probability models to real phenomena and how to prepare the tools necessary for such applications.

Probability Models and Applications

Science & Math

Olkin, Ingram

Gleser, Leon Jay

Derman, Cyrus

Mathematics

Pearson College Div

Probability models and applications

Gleser, Leon J & Derman, Cyrus

Macmillan

The main purpose of this book is to address the statistical issues for integrating independent studies. There exist a number of papers and books that discuss the mechanics of collecting, coding, and preparing data for a meta-analysis , and we do not deal with these. Because this book concerns methodology, the content necessarily is statistical, and at times mathematical. In order to make the material accessible to a wider audience, we have not provided proofs in the text. Where proofs are given, they are placed as commentary at the end of a chapter. These can be omitted at the discretion of the reader. Throughout the book we describe computational procedures whenever required. Many computations can be completed on a hand calculator, whereas some require the use of a standard statistical package such as SAS, SPSS, or BMD. Readers with experience using a statistical package or who conduct analyses such as multiple regression or analysis of variance should be able to carry out the analyses described with the aid of a statistical package.

Statistical Methods for Meta-Analysis

Politics & Social Sciences

Hedges, Larry V.

Social Sciences

Academic Press

Incomplete Data in Sample Surveys: Theory and Bibliographies

Madow, William G.

Reference

Academic Pr

Although they play a fundamental role in nearly all branches of mathematics, inequalities are usually obtained by ad hoc methods rather than as consequences of some underlying "theory of inequalities." For certain kinds of inequalities, the notion of majorization leads to such a theory that is sometimes extremely useful and powerful for deriving inequalities. Moreover, the derivation of an inequality by methods of majorization is often very helpful both for providing a deeper understanding and for suggesting natural generalizations. Anyone wishing to employ majorization as a tool in applications can make use of the theorems; for the most part, their statements are easily understood.

Inequalities: Theory of Majorization and Its Applications (Volume 143) (Mathematics in Science and Engineering, Volume 143)

Marshall, Albert W.

This book is devoted to the study of univariate distributions appropriate for the analyses of data known to be nonnegative. The book includes much material from reliability theory in engineering and survival analysis in medicine.

Life Distributions: Structure of Nonparametric, Semiparametric, and Parametric Families (Springer Series in Statistics)

Springer

This book’s first edition has been widely cited by researchers in diverse fields. The following are excerpts from reviews. “Inequalities: Theory of Majorization and its Applications” merits strong praise. It is innovative, coherent, well written and, most importantly, a pleasure to read. … This work is a valuable resource!” (Mathematical Reviews). “The authors … present an extremely rich collection of inequalities in a remarkably coherent and unified approach. The book is a major work on inequalities, rich in content and original in organization.” (Siam Review). “The appearance of … Inequalities in 1979 had a great impact on the mathematical sciences. By showing how a single concept unified a staggering amount of material from widely diverse disciplines–probability, geometry, statistics, operations research, etc.–this work was a revelation to those of us who had been trying to make sense of his own corner of this material.” (Linear Algebra and its Applications). This greatly expanded new edition includes recent research on stochastic, multivariate and group majorization, Lorenz order, and applications in physics and chemistry, in economics and political science, in matrix inequalities, and in probability and statistics. The reference list has almost doubled.

Inequalities: Theory of Majorization and Its Applications (Springer Series in Statistics)

Arnold, Barry C.

"Since its inception in the 1960s, the National Assessment of Educational Progress (NAEP) has become the ""gold standard"" for monitoring the academic progress of America's children. In this book, an extensive collection of perspectives traces the evolution of NAEP, from Francis Keppel's testimony before Congress in 1962 and the awarding of the assessment contract to the Educational Testing Service (ETS) in 1983 to NAEP's role in the No Child Left Behind Act of 2001."

The Nation's Report Card: Evolution and Perspectives

Education & Teaching

Jones, Lyle V.

Schools & Teaching

Phi Delta Kappa Intl Inc

This SIAM Classics edition is an unabridged, corrected republication of the work first published in 1977. It provides a compendium of applied aspects of ordering and selection procedures and includes tables that permit the practitioner to carry out the experiment and draw statistically justified conclusions. These tables are not readily available in other texts. Although more than 1000 papers and several books on the general theory of ranking and selection have been published since this book first appeared, the methodology is presented in a more elementary fashion, with numerous examples to help the reader apply it to a specific problem.

Selecting and Ordering Populations: A New Statistical Methodology (Classics in Applied Mathematics, Series Number 25)

Sobel, Milton

Dickinson Gibbons, Jean

Society for Industrial and Applied Mathematics

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