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Titlebook: Linear Models in Matrix Form; A Hands-On Approach Jonathon D. Brown Textbook 2014 Springer International Publishing Switzerland 2014 Compu

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发表于 2025-3-21 17:16:51 | 显示全部楼层 |阅读模式
书目名称Linear Models in Matrix Form
副标题A Hands-On Approach
编辑Jonathon D. Brown
视频video
概述Comprehensively covers use of linear models in matrix form.Utilizes R and open source spreadsheets as standard tools for algebraic calculations.Many examples and full-color screenshots data files to h
图书封面Titlebook: Linear Models in Matrix Form; A Hands-On Approach  Jonathon D. Brown Textbook 2014 Springer International Publishing Switzerland 2014 Compu
描述.This textbook is an approachable introduction to statistical analysis using matrix algebra. Prior knowledge of matrix algebra is not necessary. Advanced topics are easy to follow through analyses that were performed on an open-source spreadsheet using a few built-in functions. These topics include ordinary linear regression, as well as maximum likelihood estimation, matrix decompositions, nonparametric smoothers and penalized cubic splines. Each data set .(1). contains a limited number of observations to encourage readers to do the calculations themselves, and .(2). tells a coherent story based on statistical significance and confidence intervals. In this way, students will learn how the numbers were generated and how they can be used to make cogent arguments about everyday matters. This textbook is designed for use in upper level undergraduate courses or first year graduate courses..The first chapter introduces students to linear equations, then covers matrix algebra, focusing on three essential operations: sum of squares, the determinant, and the inverse. These operations are explained in everyday language, and their calculations are demonstrated using concrete examples. The rem
出版日期Textbook 2014
关键词Computational Statistics; Linear Equations; Linear Model; Linear Model in Matrix Form; Matrix Algebra; Po
版次1
doihttps://doi.org/10.1007/978-3-319-11734-8
isbn_softcover978-3-319-34569-7
isbn_ebook978-3-319-11734-8
copyrightSpringer International Publishing Switzerland 2014
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发表于 2025-3-21 21:45:44 | 显示全部楼层
Jonathon D. BrownComprehensively covers use of linear models in matrix form.Utilizes R and open source spreadsheets as standard tools for algebraic calculations.Many examples and full-color screenshots data files to h
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Simple Linear Regression,Chapter 1 introduced you to a variety of matrix properties and operations. Among other things, you learned how to use the determinant and inverse of a matrix to solve equations with unknown quantities. In the remainder of this book, you will use these operations to perform a wide variety of statistical analyses.
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Analysis of Covariance,In Chaps. . and ., we learned that multiple regression can be used to analyze data with categorical predictors. In the next three chapters, we will extend our coverage to include designs that combine categorical and continuous predictors.
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Cross-Product Terms and Interactions,n of a criterion holding all other variables constant. Because the coefficients are statistically independent, a one-unit change in .. predicts a .. change in . across all levels of ... This . (as it is called) is demanded by the form of an ordinary linear regression model:
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Factorial Designs,lso be used with designs that combine two or more categorical predictors. In most cases, the categorical variables are crossed to form a factorial design. In this chapter, you will learn how to use multiple regression to analyze and interpret factorial designs.
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978-3-319-34569-7Springer International Publishing Switzerland 2014
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