Probability and Statistics with R (Hardcover)

Maria Dolores Ugarte, Ana F. Militino, Alan T. Arnholt

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商品描述

Designed for an intermediate undergraduate course, Probability and Statistics with R shows students how to solve various statistical problems using both parametric and nonparametric techniques via the open source software R. It provides numerous real-world examples, carefully explained proofs, end-of-chapter problems, and illuminating graphs to facilitate hands-on learning.

Integrating theory with practice, the text briefly introduces the syntax, structures, and functions of the S language, before covering important graphically and numerically descriptive methods. The next several chapters elucidate probability and random variables topics, including univariate and multivariate distributions. After exploring sampling distributions, the authors discuss point estimation, confidence intervals, hypothesis testing, and a wide range of nonparametric methods. With a focus on experimental design, the book also presents fixed- and random-effects models as well as randomized block and two-factor factorial designs. The final chapter describes simple and multiple regression analyses.

Demonstrating that R can be used as a powerful teaching aid, this comprehensive text presents extensive treatments of data analysis using parametric and nonparametric techniques. It effectively links statistical concepts with R procedures, enabling the application of the language to the vast world of statistics.

商品描述(中文翻譯)

《使用 R 進行概率與統計》是為中級本科課程設計的教材,向學生展示如何使用開源軟件 R 來解決各種統計問題。本書提供了許多實際例子、詳細解釋的證明、章末問題和啟發性圖表,以促進實踐學習。

本書將理論與實踐相結合,簡要介紹了 S 語言的語法、結構和函數,然後介紹了重要的圖形和數值描述方法。接下來的幾章闡述了概率和隨機變量的主題,包括單變量和多變量分佈。在探索抽樣分佈之後,作者討論了點估計、置信區間、假設檢驗以及各種非參數方法。本書還著重於實驗設計,介紹了固定效應模型和隨機效應模型,以及隨機區塊和雙因子因子設計。最後一章介紹了簡單和多重回歸分析。

本書全面展示了使用參數和非參數技術進行數據分析的方法,並展示了 R 語言作為強大教學輔助工具的應用。它有效地將統計概念與 R 程序相結合,使語言能夠應用於廣闊的統計領域。