000 02191nam a22002297a 4500
999 _c4113
_d4113
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008 221013b ||||| |||| 00| 0 eng d
020 _a9781071833209
082 _a519.5
_bFOX
100 _aFox, John
_99316
245 _aA mathematical primer for social statistics
250 _a2nd
260 _bSage Publications, Inc.
_aCalifornia
_c2021
300 _axxiii, 229 p.
365 _aUSD
_b30.00
490 _aQuantitative Applications in the Social Sciences
504 _aTable of content Matrices, Linear Algebra, and Vector Geometry: The Basics Matrix Decompositions and Quadratic Forms An Introduction to Calculus Elementary Probability Theory Common Probability Distributions An Introduction to Statistical Theory Putting the Math to Work: Linear Least-Squares Regression
520 _aA Mathematical Primer for Social Statistics, Second Edition presents mathematics central to learning and understanding statistical methods beyond the introductory level: the basic "language" of matrices and linear algebra and its visual representation, vector geometry; differential and integral calculus; probability theory; common probability distributions; statistical estimation and inference, including likelihood-based and Bayesian methods. The volume concludes by applying mathematical concepts and operations to a familiar case, linear least-squares regression. The Second Edition pays more attention to visualization, including the elliptical geometry of quadratic forms and its application to statistics. It also covers some new topics, such as an introduction to Markov-Chain Monte Carlo methods, which are important in modern Bayesian statistics. A companion website includes materials that enable readers to use the R statistical computing environment to reproduce and explore computations and visualizations presented in the text. The book is an excellent companion to a "math camp" or a course designed to provide foundational mathematics needed to understand relatively advanced statistical methods.
650 _aSocial sciences--Mathematics
_99649
650 _aSocial sciences--Statistical methods
_91897
942 _2ddc
_cBK