Measures of Association for Cross Classifications
Measures of Association for Cross Classifications

Author: L. A. Goodman

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 156

ISBN-13: 1461299950

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In 1954, prior to the era of modem high speed computers, Leo A. Goodman and William H. Kruskal published the fmt of a series of four landmark papers on measures of association for cross classifications. By describing each of several cross classifications using one or more interpretable measures, they aimed to guide other investigators in the use of sensible data summaries. Because of their clarity of exposition, and their thoughtful statistical approach to such a complex problem, the guidance in this paper is as useful and important today as it was on its publication 25 years ago. in a cross-classification by a single number inevita Summarizing association bly loses information. Only by the thoughtful choice of a measure of association can one hope to lose only the less important information and thus arrive at a satisfactory data summary. The series of four papers reprinted here serve as an outstanding guide to the choice of such measures and their use.

The Measurement of Association
The Measurement of Association

Author: Kenneth J. Berry

Publisher: Springer

Published: 2018-11-02

Total Pages: 661

ISBN-13: 331998926X

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This research monograph utilizes exact and Monte Carlo permutation statistical methods to generate probability values and measures of effect size for a variety of measures of association. Association is broadly defined to include measures of correlation for two interval-level variables, measures of association for two nominal-level variables or two ordinal-level variables, and measures of agreement for two nominal-level or two ordinal-level variables. Additionally, measures of association for mixtures of the three levels of measurement are considered: nominal-ordinal, nominal-interval, and ordinal-interval measures. Numerous comparisons of permutation and classical statistical methods are presented. Unlike classical statistical methods, permutation statistical methods do not rely on theoretical distributions, avoid the usual assumptions of normality and homogeneity of variance, and depend only on the data at hand. This book takes a unique approach to explaining statistics by integrating a large variety of statistical methods, and establishing the rigor of a topic that to many may seem to be a nascent field. This topic is relatively new in that it took modern computing power to make permutation methods available to those working in mainstream research. Written for a statistically informed audience, it is particularly useful for teachers of statistics, practicing statisticians, applied statisticians, and quantitative graduate students in fields such as psychology, medical research, epidemiology, public health, and biology. It can also serve as a textbook in graduate courses in subjects like statistics, psychology, and biology.

Introducing Quantitative Geography
Introducing Quantitative Geography

Author: Larry O'Brien

Publisher: Routledge

Published: 2005-10-09

Total Pages: 377

ISBN-13: 1134987811

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A unique introduction to contemporary quantitative geography, integrating material suitable for both introductory and more advanced courses. No previous knowledge is required and worked examples and computer analyses help student understanding.

Multiway Contingency Tables Analysis for the Social Sciences
Multiway Contingency Tables Analysis for the Social Sciences

Author: Thomas D. Wickens

Publisher: Psychology Press

Published: 2014-02-25

Total Pages: 414

ISBN-13: 1317784782

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This book describes the principles and techniques needed to analyze data that form a multiway contingency table. Wickens discusses the description of association in such data using log-linear and log-multiplicative models and defines how the presence of association is tested using hypotheses of independence and quasi-independence. The application of the procedures to real data is then detailed. This volume does not presuppose prior experience or knowledge of statistics beyond basic courses in fundamentals of probability and statistical inference. It serves as an ideal reference for professionals or as a textbook for graduate or advanced undergraduate students involved in statistics in the social sciences.

Analysis of Ordinal Categorical Data
Analysis of Ordinal Categorical Data

Author: Alan Agresti

Publisher: John Wiley & Sons

Published: 2012-07-06

Total Pages: 376

ISBN-13: 1118209990

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Statistical science’s first coordinated manual of methods for analyzing ordered categorical data, now fully revised and updated, continues to present applications and case studies in fields as diverse as sociology, public health, ecology, marketing, and pharmacy. Analysis of Ordinal Categorical Data, Second Edition provides an introduction to basic descriptive and inferential methods for categorical data, giving thorough coverage of new developments and recent methods. Special emphasis is placed on interpretation and application of methods including an integrated comparison of the available strategies for analyzing ordinal data. Practitioners of statistics in government, industry (particularly pharmaceutical), and academia will want this new edition.

Measurement in the Social Sciences
Measurement in the Social Sciences

Author: Hubert M. Blalock

Publisher: Routledge

Published: 2017-09-08

Total Pages: 476

ISBN-13: 1351329065

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Among the frustrations constantly confronting the social scientist are those associated with the general process of measurement. The importance of good measurement has long been recognized in principle, but it has often been neglected in practice in many of the social sciences. Now that the methodological tools of multivariate analysis, simultaneous-equation estimation, and causal modeling are diffused more widely into the social sciences, and now that the very serious implications of random and non-random measurement errors are being systematically investigated, it is all the more important that social scientists give top priority to the quality of their data and the clarity of their theoretical conceptualizations. The book is organized so that, one proceeds from problems of data collection to those of data analysis. It is not intended to be a complete work covering all types of measurement problems that have arisen in the social sciences. Instead, it represents a series of studies that are deemed to be crucial for the advancement of social science research but which have not received sufficient attention in most of the social sciences. The basic purpose is to stimulate further methodological research on measurement and to study the ways in which knowledge that has been accumulated in some fields may be generalized. Part I is concerned with applying scaling approaches developed in psychometrics to problems that arise in other social sciences. The focus is on finding better ways to ask questions of respondents so as to raise the level of measurement above that of simple ordinal scales. Part II focuses on multiple-indicator theory and strategies as applied to relatively complex models and to change data. In this section the emphasis shifts to how one analyzes fallible data through the construction of explicit measurement-error models. Part III deals with the statistical analysis of ordinal data, including the interpretation and empirical behaviors of various ordinal measures of association.

Applied Latent Class Analysis
Applied Latent Class Analysis

Author: Jacques A. Hagenaars

Publisher: Cambridge University Press

Published: 2002-06-24

Total Pages: 478

ISBN-13: 1139439235

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Applied Latent Class Analysis introduces several innovations in latent class analysis to a wider audience of researchers. Many of the world's leading innovators in the field of latent class analysis contributed essays to this volume, each presenting a key innovation to the basic latent class model and illustrating how it can prove useful in situations typically encountered in actual research.

Statistical Methods for Rates and Proportions
Statistical Methods for Rates and Proportions

Author: Joseph L. Fleiss

Publisher: John Wiley & Sons

Published: 2013-06-12

Total Pages: 585

ISBN-13: 1118625617

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Das für Fachleute und fortgeschrittene Studenten konzipierte Buch beschäftigt sich mit dem Entwurf und der Analyse von Untersuchungen, Studien und Experimenten, bei denen qualitative und kategorische Daten anfallen. - jetzt in dritter Auflage - neue Informationen unter anderem zur logistischen Regression, zur Binomialverteilung, zu Daten von (zufälligen) Stichproben und zu den Delta-Methoden für Multinomialfrequenzen - Buch ist auf seinem Gebiet führend, das bewährte Material der Vorgängerauflagen wurde übernommen

The Analysis of Contingency Tables, Second Edition
The Analysis of Contingency Tables, Second Edition

Author: Brian S. Everitt

Publisher: CRC Press

Published: 1992-02-01

Total Pages: 178

ISBN-13: 9780412398506

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Much of the data collected in medicine and the social sciences is categorical, for example, sex, marital status, blood group, whether a smoker or not and so on, rather than interval-scaled. Frequently the researcher collecting such data is interested in the relationships or associations between pairs, or between a set of such categorical variables; often the data is displayed in the form of a contingency table for example, smoker versus non-smoker against death from lung cancer or death from some other cause. This text gives a comprehensive account of the analysis of such tables, written at a level suitable for the applied researcher. The first edition of "The Analysis of Contingency Tables" arose from Professor A.E. Maxwell's earlier text, "Analysing Qualitative Data". In this new edition, more material is included that those methods which have developed over the last decade or so, for example, logistic regression models for tables with ordered categories and for response variables with more than two categories. A brief account is given of the increasingly important technique, correspondence analysis. The methods of analysis described in this book should be relevant to research workers and graduate students dealing with data from surveys, particularly in the area of psychiatry, social sciences and psychology.