Introduction to General and Generalized Linear Models
暫譯: 一般及廣義線性模型導論
Madsen, Henrik, Thyregod, Poul
- 出版商: CRC
- 出版日期: 2024-10-14
- 售價: $2,330
- 貴賓價: 9.5 折 $2,214
- 語言: 英文
- 頁數: 316
- 裝訂: Quality Paper - also called trade paper
- ISBN: 1032922362
- ISBN-13: 9781032922362
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商品描述
Bridging the gap between theory and practice for modern statistical model building, Introduction to General and Generalized Linear Models presents likelihood-based techniques for statistical modelling using various types of data. Implementations using R are provided throughout the text, although other software packages are also discussed. Numerous examples show how the problems are solved with R.
After describing the necessary likelihood theory, the book covers both general and generalized linear models using the same likelihood-based methods. It presents the corresponding/parallel results for the general linear models first, since they are easier to understand and often more well known. The authors then explore random effects and mixed effects in a Gaussian context. They also introduce non-Gaussian hierarchical models that are members of the exponential family of distributions. Each chapter contains examples and guidelines for solving the problems via R.
Providing a flexible framework for data analysis and model building, this text focuses on the statistical methods and models that can help predict the expected value of an outcome, dependent, or response variable. It offers a sound introduction to general and generalized linear models using the popular and powerful likelihood techniques. Ancillary materials are available at www.imm.dtu.dk/ hm/GLM
商品描述(中文翻譯)
將理論與實踐之間的鴻溝連接起來,《一般與廣義線性模型簡介》介紹了基於似然的統計建模技術,適用於各種類型的數據。全書提供了使用 R 的實作,雖然也討論了其他軟體包。許多範例展示了如何使用 R 解決問題。
在描述必要的似然理論後,本書使用相同的基於似然的方法來涵蓋一般線性模型和廣義線性模型。由於一般線性模型較易理解且通常更為人所知,因此首先介紹其對應的結果。接著,作者探討了高斯背景下的隨機效應和混合效應。他們還介紹了屬於指數分佈族的非高斯層級模型。每一章都包含範例和通過 R 解決問題的指導。
本書提供了一個靈活的數據分析和模型建構框架,專注於可以幫助預測結果、依賴變數或反應變數期望值的統計方法和模型。它使用流行且強大的似然技術,對一般和廣義線性模型提供了良好的介紹。輔助材料可在 www.imm.dtu.dk/hm/GLM 獲得。
作者簡介
Henrik Madsen is a professor in the Department of Informatics and Mathematical Modelling at the Technical University of Denmark in Lyngby. He has authored or coauthored more than 400 publications. Dr. Madsen has also led or participated in research projects involving wind power and energy load forecasting, financial forecasting and modeling, heat dynamics modeling, PK/PD modeling in drug development, data assimilation, zooneses modeling, and high performance and scientific computing.
作者簡介(中文翻譯)
Henrik Madsen 是丹麥科技大學(Technical University of Denmark)資訊學與數學建模系的教授。他已經撰寫或共同撰寫了超過400篇出版物。Madsen博士還主導或參與了多個研究項目,涉及風能和能源負載預測、金融預測與建模、熱動力學建模、藥物開發中的藥物動力學/藥物代謝動力學(PK/PD)建模、數據同化、動物傳染病建模,以及高效能與科學計算。