Probability and Statistics for Engineering and the Sciences, Enhanced Review Edition

by Devore, Jay L.

• ISBN13: 9780495557449
• ISBN10: 0495557447
• Edition: 7th
• Format: Hardcover
• Copyright: 2008-01-29
• Publisher: Duxbury Press

Summary

This comprehensive introduction to probability and statistics will give you the solid grounding you need no matter what your engineering specialty. Through the use of lively and realistic examples, the author helps you go beyond simply learning about statistics to actually putting the statistical methods to use. Rather than focus on rigorous mathematical development and potentially overwhelming derivations, the book emphasizes concepts, models, methodology, and applications that facilitate your understanding.

Table of Contents

Overview and Descriptive Statistics

Populations, Samples, and Processes

Pictorial and Tabular Methods in Descriptive Statistics

Measures of Location

Measures of Variability

Probability

Sample Spaces and Events

Axioms, Interpretations, and Properties of Probability

Counting Techniques

Conditional Probability

Independence

Discrete Random Variables and Probability Distributions

Random Variables

Probability Distributions for Discrete Random Variables

Expected Values of Discrete Random Variables

The Binomial Probability Distribution

Hypergeometric and Negative Binomial Distributions

The Poisson Probability Distribution

Continuous Random Variables and Probability Distributions

Continuous Random Variables and Probability Density Functions

Cumulative Distribution Functions and Expected Values

The Normal Distribution

The Exponential and Gamma Distribution

Other Continuous Distributions

Probability Plots

Joint Probability Distributions and Random Samples

Jointly Distributed Random Variables

Expected Values, Covariance, and Correlation

Statistics and Their Distributions

The Distribution of the Sample Mean

The Distribution of a Linear Combination

Point Estimation

Some General Concepts of Point Estimation

Methods of Point Estimation

Statistical Intervals Based on a Single Sample

Basic Properties of Confidence Intervals

Large-Sample Confidence Intervals for a Population Mean and Proportion

Intervals Based on a Normal Population Distribution

Confidence Intervals for the Variance and Standard Deviation of a Normal Population

Tests of Hypotheses Based on a Single Sample

Hypothesis and Test Procedures

Tests About a Population Mean

Tests Concerning a Population Proportion

P-Values

Some Comments on Selecting a Test

Inferences Based on two Samples

z Tests and Confidence Intervals for a Difference Between Two Population Means

The Two-Sample t Test and Confidence Interval

Analysis of Paired Data

Inferences Concerning a Difference Between Population Proportions

Inferences Concerning Two Population Variances

The Analysis of Variance

Single-Factor ANOVA

Multiple Comparisons in ANOVA

More on Single-Factor ANOVA

Multifactor Analysis of Variance

Two-Factor ANOVA with Kij =

Two-Factor ANOVA with Kij >

Three-Factor ANOVA. 2p Factorial Experiments

Simple Linear Regression and Correlation

The Simple Linear Regression Model

Estimating Model Parameters

Inferences About the Slope Parameter G

Inferences Concerning &Y-x* and the Prediction of Future Y Values

Correlation

Nonlinear and Multiple Regression

Aptness of the Model and Model Checking

Regression with Transformed Variables

Polynomial Regression

Multiple Regression Analysis

Other Issues in Multiple Regression

Goodness-of-Fit Tests and Categorical Data Analysis

Goodness-of-Fit Tests When Category Probabilities are Completely Specified

Goodness of Fit for Composite Hypotheses

Two-Way Contingency Tables

Distribution-Free Procedures

The Wilcoxon Signed-Rank Test

The Wilcoxon Rank-Sum Test

Distribution-Free Confidence Intervals

Distribution-Free ANOVA

Quality Control Methods

General Comments on Control Charts

Control Charts fort Process Location

Control Charts for Process Variation

Control Charts for Attributes

CUSUM Procedures

Acceptance Sampling

Cumulative Binomial Probabilities

Cumulative Poisson Probabilities

Standard Normal Curve Areas

The Incomplete Gamma Function

Critical Values for t Distributions

Tolerance Critical Values for Normal Population Distributions

Critical Values for Chi-Squared Distributions

t Curve Tail Areas

Critical Values for F Distributions

Critical Values for Studentized Range Distributions

Chi-Squared Curve Tail Areas

Critical Values for the Ryan-Joiner Test of Normality

Critical Values for the Wilcoxon Signed-Rank Test

Critical Values for the Wilcoxon Rank-Sum Test

Critical Value

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