Theory of Factorial Experiments: Modern Methods, Applications, and R Implementation
暫譯: 因子實驗理論：現代方法、應用與R實作
Ghosh, Dilip Kumar
商品描述
This book introduces modern methods for estimating and analysing factorial experiments, including a new Hadamard matrix-based technique for 2n2 n2n designs. It covers confounded, asymmetrical, and super-saturated designs and demonstrates the use of factorial experiments in constructing various block designs. Practical RStudio implementations are included. The book also explores the analysis of variance for asymmetrical factorial designs and confounded experiments, including single and double confounding schemes. It also offers a practical guide to implementing these methods in RStudio, including worked examples and computation of ANOVA tables.
- Introduces a novel method using Hadamard matrices to estimate effects and compute ANOVA tables in 2n2 n2n factorial experiments.
- Discusses estimation of effects in ternary symmetrical designs using linear and quadratic contrasts with single degrees of freedom.
- Covers estimation techniques and ANOVA computation for asymmetrical factorial and confounded designs. - Demonstrates the use of factorial experiments for constructing BIBDs, PBIBDs, and other complex experimental designs.
- Offers practical R code and examples for estimating effects and generating ANOVA tables from real datasets.
This book is for graduate students, academic researchers, and applied statisticians in agricultural, industrial, and experimental sciences who seek advanced yet accessible coverage of factorial experiments and their real-world applications.
商品描述(中文翻譯)
這本書介紹了估計和分析因子實驗的現代方法，包括一種基於 Hadamard 矩陣的技術，用於 2n2 n2n 設計。內容涵蓋了混淆、非對稱和超飽和設計，並展示了因子實驗在構建各種區塊設計中的應用。書中還包含了實用的 RStudio 實現。這本書還探討了非對稱因子設計和混淆實驗的變異數分析，包括單一和雙重混淆方案。它還提供了在 RStudio 中實施這些方法的實用指南，包括實作範例和 ANOVA 表的計算。
- 介紹了一種使用 Hadamard 矩陣來估計效應和計算 2n2 n2n 因子實驗中 ANOVA 表的新方法。
- 討論了使用線性和二次對比進行三元對稱設計的效應估計，並具有單自由度。
- 涵蓋了非對稱因子和混淆設計的估計技術及 ANOVA 計算。
- 演示了因子實驗在構建 BIBDs、PBIBDs 和其他複雜實驗設計中的應用。
- 提供了實用的 R 代碼和範例，用於從真實數據集中估計效應和生成 ANOVA 表。
這本書適合研究生、學術研究人員和應用統計學家，特別是在農業、工業和實驗科學領域，尋求對因子實驗及其現實應用的高級但易於理解的內容。
作者簡介
Dilip Kumar Ghosh completed his Bachelors and Master's degree in Statistics from Bhagalpur University. He gained his Ph.D. in Statistics, specializing in Design of Experiments at ISI Delhi under M. N. Das. He has worked at CMFRI, Cochin; Tocklai Experimental Station, Jorhat; Saurashtra University Rajkot from Lecturer to Professor and Head. He is founder faculty of department of Statistics at Saurashtra University. After his retirement, UGC selected him as BSR Faculty Fellow for three years. He has published 150 research papers in national and international reputed journals. He has more than 50 years of teaching and research experience. He supervised 43 Ph.D. students in Statistics, OR, Inference, Management. He has been teaching Design of Experiments including Factorial Experiments since the last 40 years. He visited West Florida University, USA and University of Manitoba, Canada as a research collaborator at least ten times and published papers along with them. Further, he participated in several international conferences abroad and has organized more than 15 conferences and two refresher courses. He is a member of more than 15 professional bodies, Editorial board member in 10 journals and Editor in Chief of Gujarat Journal of Statistics and Data Science.
作者簡介(中文翻譯)
Dilip Kumar Ghosh 於巴哈爾普爾大學完成了統計學的學士和碩士學位。他在德里印度統計學研究所（ISI Delhi）獲得統計學博士學位，專攻實驗設計，指導教授為 M. N. Das。他曾在科欽的 CMFRI、喬爾哈特的 Tocklai 實驗站以及拉傑科特的索拉什特拉大學擔任講師至教授及系主任。他是索拉什特拉大學統計學系的創始教師。退休後，UGC 選他為 BSR 教學研究員，任期三年。他在國內外知名期刊上發表了 150 篇研究論文，擁有超過 50 年的教學和研究經驗。他指導了 43 位統計學、運籌學、推論學和管理學的博士生。他自 40 年前以來一直教授實驗設計，包括因子實驗。他至少十次作為研究合作者訪問美國西佛羅里達大學和加拿大曼尼托巴大學，並與他們共同發表論文。此外，他參加了多個國際會議，並組織了超過 15 次會議和兩次進修課程。他是超過 15 個專業機構的成員，擔任 10 本期刊的編輯委員會成員，以及《古吉拉特統計學與數據科學期刊》的主編。
