Essentials of Probability & Statistics for Engineers & Scientists (IE-Paperback)

Ronald E. Walpole , Raymond Myers , Sharon L. Myers , Keying E. Ye

買這商品的人也買了...

商品描述

<內容簡介>

The balance between theory and applications offers mathematical support to enhance coverage when necessary, giving engineers and scientists the proper mathematical context for statistical tools and methods.
Case studies provide deeper insight into the practicality of the concepts.
Calculus is confined to elementary probability theory and probability distributions (Chapters13).
Linear algebra and the use of matrices are applied only in Section 7.11, where treatment of multiple linear regression and analysis of variance is covered.
Compelling exercise sets challenge students to use the concepts to solve problems that occur in many real-life scientific and engineering situations. Many exercises contain real data from studies in the fields of biomedical, bioengineering, business, computing, etc.
Real-life applications of the Poisson, binomial, and hypergeometric distributions generate student interest using topics such as flaws in manufactured copper wire, highway potholes, hospital patient traffic, airport luggage screening, and homeland security.
Class projects provide the opportunity for students to gather their own experimental data and draw inferences from that data. These projects illustrate the meaning of a concept or provide empirical understanding of important statistical results, and are suitable for either group or individual work.
Statistical software coverage in the following case studies includes SAS® and MINITAB®, with screenshots and graphics as appropriate:
Two-sample hypothesis testing
Multiple linear regression
Analysis of variance
Use of two-level factorial-experiments
Interaction plots provide examples of scientific interpretations and new exercises using graphics.
End-of-chapter material strengthens the connections between chapters.

Pot Holes comments remind students of the bigger picture and how each chapter fits into that picture. These notes also discuss limitations of specific procedures and help students avoid common pitfalls in misusing statistics.
Topic outline

Chapter 1: elementary overview of statistical inference and basic probability
Chapter 2: random variables, probability distributions, and expectations
Chapter 3: specific discrete and continuous distributions with illustrations of their use and relationships among them
Chapter 4: materials on graphical methods; an important introduction to the notion of sampling distribution
Chapters 56: one- and two- sample point and interval estimation, statistical hypothesis testing
Chapters 79: simple and multiple linear regressions; analysis of variance; multi-factorial experiments

<章節目錄>

1. Introduction to Statistics and Probability
2. Random Variables, Distributions, and Expectations
3. Some Probability Distributions
4. Sampling Distributions and Data Descriptions
5. One- and Two-Sample Estimation Problems
6. One- and Two-Sample Tests of Hypotheses.
7. Linear Regression
8. One-Factor Experiments: General
9. Factorial Experiments (Two or More Factors)

 

商品描述(中文翻譯)

內容簡介:

本書在理論和應用之間取得平衡,提供數學支持以增強覆蓋範圍,使工程師和科學家在統計工具和方法中獲得適當的數學背景。

案例研究提供更深入的洞察力,以了解概念的實用性。

微積分僅限於基本概率理論和概率分佈(第1-3章)。

線性代數和矩陣的應用僅在第7.11節中,涵蓋多元線性回歸和變異數分析。

引人入勝的練習題挑戰學生運用概念解決許多實際科學和工程情境中出現的問題。許多練習題包含來自生物醫學、生物工程、商業、計算等領域的真實數據。

泊松分佈、二項分佈和超幾何分佈的實際應用通過製造銅線的缺陷、公路坑洞、醫院病人流量、機場行李安檢和國土安全等主題引起學生的興趣。

課堂項目提供學生收集自己的實驗數據並從中推斷的機會。這些項目說明了概念的含義或提供了對重要統計結果的實證理解,適合小組或個人工作。

以下案例研究中的統計軟件涵蓋了SAS®和MINITAB®,並適當地提供了屏幕截圖和圖形:

- 雙樣本假設檢驗
- 多元線性回歸