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Author : Timothy M. Hagle
ISBN : 1544307772
Genre : Mathematics
File Size : 44.34 MB
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Taking an informal approach, Hagle presents a review of the basic mathematical concepts that underlie most quantitative analysis in the social sciences. After an algebra review featuring sets and combinations, Hagle discusses limits and continuity. Calculus is presented next, with an introduction to differential calculus. Multivariate functions, partial derivatives and integral calculus are discussed; the author concludes with a discussion of matrix algebra. Aimed at readers who have taken one or two courses in algebra, this volume is packed with helpful definitions, equations, and examples as well as alternative notations. A useful appendix of common math symbol and Greek letters is also included. Learn more about "The Little Green Book"--QASS Series!

A review of the basic mathematical concepts that underlie most quantitative analysis in the social sciences is presented in this volume. The author begins with an algebra review featuring sets and combinations and then discusses limits and continuity. Calculus is presented next, with an introduction to differential calculus, multivariate functions, partial derivatives, and integral calculus. Finally the book deals with matrix algebra. Packed with helpful definitions, equations, examples and alternative notations, the book also includes a useful appendix of common mathematical symbols and Greek letters.

Author : Jonathan Kropko
ISBN : 9781506304236
Genre : Social Science
File Size : 58.65 MB
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Written for social science students who will be working with or conducting research, Mathematics for Social Scientists offers a non-intimidating approach to learning or reviewing math skills essential in quantitative research methods. The text is designed to build students’ confidence by presenting material in a conversational tone and using a wealth of clear and applied examples. Author Jonathan Kropko argues that mastering these concepts will break students’ reliance on using basic models in statistical software, allowing them to engage with research data beyond simple software calculations.

Author : F. H. C. Marriott
ISBN : 9781483136257
Genre : Mathematics
File Size : 51.6 MB
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Basic Mathematics for the Biological and Social Sciences deals with the applications of basic mathematics in the biological and social sciences. Mathematical concepts that are discussed in this book include graphical methods, differentiation, trigonometrical or circular functions, limits and convergence, integration, vectors, and differential equations. The exponential function and related functions are also considered. This monograph is comprised of 11 chapters and begins with an overview of basic algebra, followed by an introduction to infinitesimal calculus, scalar and vector quantities, complex numbers, and the simplest types of differential equation. The use of graphs in the presentation of data is also described, along with limits and convergence, rules for differentiation, the exponential function, and maxima and minima. Techniques of integration, vectors and their derivatives, and simultaneous differential equations are explored as well. Examples from biology, economics and related subjects, probability theory, and physics are provided. This text will be a useful resource for mathematicians as well as biologists and social scientists interested in applying mathematics to their work.

Author : John Fox
ISBN : 9781412960809
Genre : Mathematics
File Size : 70.96 MB
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Beyond the introductory level, learning and effectively using statistical methods in the social sciences requires some knowledge of mathematics. This handy volume introduces the areas of mathematics that are most important to applied social statistics.

Applied Computational Mathematics in Social Sciences adopts a modern scientific approach that combines knowledge from mathematical modeling with various aspects of social science. Special algorithms can be created to simulate an artificial society and a detailed analysis can subsequently be used to project social realities. This Ebook specifically deals with computations using the NetLogo platform, and is intended for researchers interested in advanced human geography and mathematical modeling studies.

Author : Will H. Moore
ISBN : 9781400848614
Genre : Political Science
File Size : 90.62 MB
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Political science and sociology increasingly rely on mathematical modeling and sophisticated data analysis, and many graduate programs in these fields now require students to take a "math camp" or a semester-long or yearlong course to acquire the necessary skills. Available textbooks are written for mathematics or economics majors, and fail to convey to students of political science and sociology the reasons for learning often-abstract mathematical concepts. A Mathematics Course for Political and Social Research fills this gap, providing both a primer for math novices in the social sciences and a handy reference for seasoned researchers. The book begins with the fundamental building blocks of mathematics and basic algebra, then goes on to cover essential subjects such as calculus in one and more than one variable, including optimization, constrained optimization, and implicit functions; linear algebra, including Markov chains and eigenvectors; and probability. It describes the intermediate steps most other textbooks leave out, features numerous exercises throughout, and grounds all concepts by illustrating their use and importance in political science and sociology. Uniquely designed and ideal for students and researchers in political science and sociology Uses practical examples from political science and sociology Features "Why Do I Care?" sections that explain why concepts are useful Includes numerous exercises Complete online solutions manual (available only to professors, email david.siegel at duke.edu, subject line "Solution Set") Selected solutions available online to students

Author : Michael Haan
ISBN : 0195426088
Genre : Social sciences
File Size : 35.6 MB
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An Introduction to Statistics for Canadian Social Scientists is a ground-up Canadian text that establishes a solid foundation in statistics for first-time students of the discipline. Ideal for second- or third-year introductory level statistics courses in sociology, the text uses Canadian scholarship and examples to teach the universal language of statistics. A "Knowledge-Through-Discovery" approach encourages students to learn by doing. Lab exercises are designed to bridge the gap between theory and practice. The text includes appendices with SPSS and STATA lab manuals which will help students understand the main statistics software packages used in the social sciences. An overview of basic mathematics is also included for students who may be uncomfortable or out-of-practice with math. This book is a phenomenal resource for students wanting to expand their social science research skills to include statistical analysis.

Author : Courtney Brown
ISBN : 1412941083
Genre : Mathematics
File Size : 63.55 MB
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'Differential Equations: A Modeling Approach' explains the mathematics and theory of differential equations. Graphical methods of analysis are emphasized over formal proofs, making the text even more accessible for newcomers to the subject matter.

Author : Harry J. Khamis
ISBN : 9781452238951
Genre : Mathematics
File Size : 49.42 MB
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The Association Graph and the Multigraph for Loglinear Models will help students, particularly those studying the analysis of categorical data, to develop the ability to evaluate and unravel even the most complex loglinear models without heavy calculations or statistical software. This supplemental text reviews loglinear models, explains the association graph, and introduces the multigraph to students who may have little prior experience of graphical techniques, but have some familiarity with categorical variable modeling. The author presents logical step-by-step techniques from the point of view of the practitioner, focusing on how the technique is applied to contingency table data and how the results are interpreted.

Author : James Jaccard
ISBN : 0761922075
Genre : Mathematics
File Size : 73.27 MB
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This work introduces general strategies for testing interactions in logistic regression as well as providing the tools to interpret and understand the meaning of coefficients in equations with product terms.

Author : Albert M. Liebetrau
ISBN : 0803919743
Genre : Social Science
File Size : 67.12 MB
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Clearly reviews the properties of important contemporary measures of association and correlation. Liebetrau devotes full chapters to measures for nominal, ordinal, and continuous (interval) data, paying special attention to the sampling distributions needed to determine levels of significance and confidence intervals. Valuable discussions also focus on the relationships between various measures, the sampling properties of their estimators and the comparative advantages and disadvantages of different approaches.

Author : Michael Lewis-Beck
ISBN : 0803957726
Genre : Medical
File Size : 27.72 MB
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This accessible introduction to data analysis focuses on the interpretation of statistical results, in particular those which come from nonexperimental social research. It will provide social science researchers with the tools necessary to select and evaluate statistical tests appropriate for their research question. Using a consistent data-set throughout the book to illustrate the various analytic techniques, Michael Lewis-Beck covers topics such as univariate statistics, measures of association, the statistical significance of the relationship between two variables, simple regression in which the dependent variable is influenced by a single independent variable, and multiple regression.

Author : Samuel J. Best
ISBN : 0761927107
Genre : Computers
File Size : 40.15 MB
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Designed for researchers and students alike, the volume describes how to perform each stage of the data collection process on the Internet, including sampling, instrument design, and administration. Through the use of non-technical prose and illustrations, it details the options available, describes potential dangers in choosing them, and provides guidelines for sidestepping them. In doing so, though, it does not simply reiterate the practices of traditional communication modes, but approaches the Internet as a unique medium that necessitates its own conventions.

Author : Linda B. Bourque
ISBN : 0803947410
Genre : Social Science
File Size : 26.26 MB
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This volume highlights the theory that decisions made during the design of a data collection instrument influence the kind of data and the format of the data that are available for analysis. Opening with a discussion on the selection of the data collection technique(s) and how this impacts on data processing and the data for later analysis, the book covers key issues such as: should you create your own instrument for a questionnaire? how do you test a questionnaire? what are the characteristics of good data processing? how to deal with missing data? how to scale an evaluation and create subfiles for analysis? In addition, each major section concludes with examples and when appropriate, directs the reader to commonly available computer software that can aid in data processing.

Author : Christopher Z. Mooney
ISBN : 0803959435
Genre : Education
File Size : 61.73 MB
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The author explains the logic behind the method and demonstrates its uses for social and behavioral research in: conducting inference using statistics with only weak mathematical theory; testing null hypotheses under a variety of plausible conditions; assessing the robustness of parametric inference to violations of its assumptions; assessing the quality of inferential methods; and comparing the properties of two or more estimators. In addition, Christopher Z Mooney carefully demonstrates how to prepare computer algorithms using GAUSS code and uses several research examples to demonstrate these principles. This volume will enable researchers to execute Monte Carlo Simulation effectively and to interpret the estimated sampling distribution generated from its use.

Author : Lee Rudolph
ISBN : 9780415444828
Genre : Mathematics
File Size : 83.1 MB
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In this book Lee Rudolph brings together international contributors who combine psychological and mathematical perspectives to analyse how qualitative mathematics can be used to create models of social and psychological processes. Bridging the gap between the fields with an imaginative and stimulating collection of contributed chapters, the volume updates the current research on the subject, which until now has been rather limited, focussing largely on the use of statistics. Qualitative Mathematics for the Social Sciences contains a variety of useful illustrative figures, introducing readers from the social sciences to the rich contribution that modern mathematics has made to our knowledge of logic, structures, and dynamic systems. A beguiling array of conceptual systems, topological models and fractals are discussed which transcend the application of statistics, and bring a fresh perspective to the study of social representations. The wide selection of qualitative mathematical methodologies discussed in this volume will be hugely valuable to higher-level undergraduate and postgraduate students of psychology, sociology and mathematics. It will also be useful for researchers, academics and professionals from the social sciences who want a firmer grasp on the use of qualitative mathematics.