Generalized Linear Models With Examples in R (Springer Texts in Statistics)
暫譯: 帶有 R 範例的廣義線性模型 (Springer 統計學文本)

Peter K. Dunn, Gordon K. Smyth

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商品描述

This textbook presents an introduction to multiple linear regression, providing real-world data sets and practice problems. A practical working knowledge of applied statistical practice is developed through the use of these data sets and numerous case studies. The authors include a set of practice problems both at the end of each chapter and at the end of the book. Each example in the text is cross-referenced with the relevant data set, so that readers can load the data and follow the analysis in their own R sessions. The balance between theory and practice is evident in the list of problems, which vary in difficulty and purpose.


This book is designed with teaching and learning in mind, featuring chapter introductions and summaries, exercises, short answers, and simple, clear examples. Focusing on the connections between generalized linear models (GLMs) and linear regression, the book also references advanced topics and tools that have not typically been included in introductions to GLMs to date, such as Tweedie family distributions with power variance functions, saddlepoint approximations, likelihood score tests, modified profile likelihood, and randomized quantile residuals. In addition, the authors introduce the new R code package, GLMsData, created specifically for this book. Generalized Linear Models with Examples in R balances theory with practice, making it ideal for both introductory and graduate-level students who have a basic knowledge of matrix algebra, calculus, and statistics.  


商品描述(中文翻譯)

這本教科書介紹了多元線性回歸,提供了真實世界的數據集和練習題。通過使用這些數據集和眾多案例研究,讀者將發展出應用統計實踐的實用知識。作者在每章結尾和書末提供了一組練習題。文本中的每個範例都與相關的數據集交叉引用,讓讀者可以在自己的 R 環境中加載數據並跟隨分析。問題的難度和目的各異,顯示了理論與實踐之間的平衡。

本書以教學和學習為設計理念,包含章節介紹和摘要、練習題、簡短答案以及簡單明瞭的範例。書中專注於廣義線性模型(GLMs)與線性回歸之間的聯繫,並參考了一些通常不會在 GLMs 的入門書中包含的進階主題和工具,例如具有冪變異數函數的Tweedie家族分佈、鞍點近似、似然得分檢驗、修正的輪廓似然和隨機分位數殘差。此外,作者介紹了專為本書創建的新 R 代碼包 GLMsData。《廣義線性模型與 R 的範例》在理論與實踐之間取得了平衡,適合對矩陣代數、微積分和統計有基本了解的入門和研究生級學生。

作者簡介

Peter K. Dunn is Associate Professor in the Faculty of Science, Health, Education and Engineering at the University of the Sunshine Coast. His work focuses on mathematical statistics, in particular generalized linear models. He has developed methods for accurate numerical evaluation of the densities of the Tweedie distributions, leading to a better understanding of these distributions. An engaging teacher, Dunn is the recipient of an Australian Office of Learning and Teaching citation. He has also won several conference paper prizes, including the EJ Pitman Prize at the Australian Statistics Conference. He is a member of the Statistical Society of Australia Inc. and the Australian Mathematics Society.

Gordon K. Smyth is Head of the Bioinformatics Division at the Walter and Eliza Hall Institute of Medical Research and Honorary Professor of Mathematics & Statistics at The University of Melbourne. He has published research on generalized linear models and statistical computing for over 30 years and is the author of several popular R packages. In recent years, he has particularly promoted the use of generalized linear models to model data from genomic sequencing technologies.

作者簡介(中文翻譯)

彼得·K·鄧恩(Peter K. Dunn)是陽光海岸大學(University of the Sunshine Coast)科學、健康、教育與工程學院的副教授。他的研究專注於數學統計,特別是廣義線性模型(generalized linear models)。他開發了準確數值評估Tweedie分佈密度的方法,從而增進了對這些分佈的理解。鄧恩是一位引人入勝的教師,曾獲得澳大利亞學習與教學辦公室的表彰。他還贏得了幾個會議論文獎,包括在澳大利亞統計會議上獲得的EJ Pitman獎。他是澳大利亞統計學會(Statistical Society of Australia Inc.)和澳大利亞數學學會(Australian Mathematics Society)的成員。

戈登·K·史密斯(Gordon K. Smyth)是沃爾特與伊莉莎·霍爾醫學研究所(Walter and Eliza Hall Institute of Medical Research)生物資訊學部門的負責人,並且是墨爾本大學(The University of Melbourne)數學與統計的名譽教授。他在廣義線性模型和統計計算方面發表了超過30年的研究,並且是幾個流行R套件的作者。近年來,他特別推廣使用廣義線性模型來建模基因組測序技術所產生的數據。

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