Miller and Freund's Probability and Statistics for Engineers

by Johnson, Richard A.

• ISBN13: 9780137214082
• ISBN10: 0137214081
• Edition: 5th
• Format: Hardcover
• Copyright: 1994-01-01
• Publisher: Prentice Hall Professional Technical Reference

Summary

An update of a classic text.

Table of Contents

Preface	ix
Introduction	1	(4)
Modern Statistics	1	(2)
Statistics and Engineering	3	(1)
The Role of the Scientist and Engineer in Quality Improvement	3	(1)
Checklist of Key Terms	4	(1)
Treatment of Data	5	(37)
Pareto Diagrams and Dot Diagrams	5	(3)
Frequency Distributions	8	(4)
Graphs of Frequency Distributions	12	(5)
Stem-and-Leaf Displays	17	(5)
Descriptive Measures	22	(4)
Quartiles and Other Percentiles	26	(3)
The Calculation of x and s	29	(9)
Review Exercises	38	(3)
Checklist of Key Terms	41	(1)
Probability	42	(49)
Sample Spaces and Events	42	(6)
Counting	48	(8)
Probability	56	(2)
The Axioms of Probability	58	(2)
Some Elementary Theorems	60	(9)
Conditional Probability	69	(7)
Bayes' Theorem	76	(7)
Mathematical Expectation and Decision Making	83	(5)
Review Exercises	88	(2)
Checklist of Key Terms	90	(1)
Probability Distributions	91	(46)
Random Variables	92	(3)
The Binomial Distribution	95	(5)
The Hypergeometric Distribution	100	(5)
The Mean and the Variance of a Probability Distribution	105	(7)
Chebyshev's Theorem	112	(5)
The Poisson Approximation to the Binomial Distribution	117	(4)
Poisson Processes	121	(2)
The Geometric Distribution	123	(6)
The Multinominal Distribution	129	(2)
Simulation	131	(3)
Review Exercises	134	(2)
Checklist of Key Terms	136	(1)
Probability Densities	137	(58)
Continuous Random Variables	138	(7)
The Normal Distribution	145	(5)
The Normal Approximation to the Binomial Distribution	150	(4)
Other Probability Densities	154	(1)
The Uniform Distribution	154	(1)
The Log-Normal distribution	155	(3)
The Gamma Distribution	158	(3)
The Beta Distribution	161	(2)
The Weibull Distribution	163	(4)
Joint Distributions---Discrete and Continuous	167	(15)
Checking If the Data Are Normal	182	(3)
Transforming Observations to near Normality	185	(3)
Simulation	188	(4)
Review Exercises	192	(2)
Checklist of Key Terms	194	(1)
Sampling Distributions	195	(21)
Populations and Samples	195	(3)
The Sampling Distribution of the Mean (σ Known)	198	(10)
The Sampling Distribution of the Mean (σ Unknown)	208	(2)
The Sampling Distribution of the Variance	210	(4)
Review Exercises	214	(1)
Checklist of Key Terms	215	(1)
Inferences Concerning Means	216	(52)
Point Estimation	216	(6)
Interval Estimation	222	(3)
Bayesian Estimation	225	(6)
Tests of Hypotheses	231	(2)
Null Hypotheses and Significance Tests	233	(6)
Hypotheses Concerning One Mean	239	(5)
The Relation Between Tests and Confidence Intervals	244	(1)
Operating Characteristic Curves	245	(7)
Inferences Concerning Two Means	252	(11)
Randomization and Pairing	263	(2)
Review Exercises	265	(2)
Checklist of Key Terms	267	(1)
Inferences Concerning Variances	268	(11)
The Estimation of Variances	268	(3)
Hypotheses Concerning One Variance	271	(2)
Hypotheses Concerning Two Variances	273	(4)
Review Exercises	277	(1)
Checklist of Key Terms	278	(1)
Inferences Concerning Proportions	279	(33)
Estimation of Proportions	279	(7)
Bayesian Estimation	286	(4)
Hypotheses Concerning One Proportion	290	(1)
Hypotheses Concerning Several Proportions	291	(9)
The Analysis of r X c Tables	300	(3)
Goodness of Fit	303	(5)
Review Exercises	308	(3)
Checklist of Key Terms	311	(1)
Nonparametric Tests	312	(18)
Introduction	312	(1)
The Sign Test	313	(2)
Rank-Sum Tests	315	(6)
Tests of Randomness	321	(3)
The Kolmogorov-Smirnov and Anderson-Darling Tests	324	(4)
Review Exercises	328	(1)
Checklist of Key Terms	329	(1)
Curve Fitting	330	(57)
The Method of Least Squares	330	(6)
Inferences Based on the Least Squares Estimators	336	(14)
Curvilinear Regression	350	(6)
Multiple Regression	356	(4)
Checking the Adequacy of the Model	360	(8)
Correlation	368	(9)
Multiple Linear Regression	377	(5)
Review Exercises	382	(4)
Checklist of Key Terms	386	(1)
Analysis of Variance	387	(55)
Some General Principles	387	(4)
Completely Randomized Designs	391	(16)
Randomized-Block Designs	407	(8)
Multiple Comparisons	415	(6)
Some Further Experimental Designs	421	(10)
Analysis of Covariance	431	(6)
Review Exercises	437	(4)
Checklist of Key Terms	441	(1)
Factorial Experimentation	442	(64)
Two-Factor Experiments	442	(10)
Multifactor Experiments	452	(13)
2n Factorial Experiments	465	(9)
The Graphic Presentation of 2n2 and 2n3 Experiments	474	(15)
Confounding in a 2n Factorial Experiment	489	(5)
Fractional Replication	494	(6)
Review Exercises	500	(5)
Checklist of Key Terms	505	(1)
The Statistical Content of Quality Improvement Programs	506	(42)
Quality-Improvement Programs	507	(3)
Starting a quality-Improvement Program	510	(2)
Experimental Designs for Quality Improvement	512	(4)
Quality control	516	(2)
Control Charts for Measurements	518	(6)
Control Charts for Attributes	524	(7)
Tolerance Limits	531	(3)
Acceptance Sampling	534	(10)
Review Exercises	544	(3)
Checklist of Key Terms	547	(1)
Applications to Reliability and Life Testing	548	(24)
Reliability	549	(2)
Failure-Time Distributions	551	(3)
The Exponential Model in Reliability	554	(5)
The Exponential Model in Life Testing	559	(5)
The Weibull Model in Life Testing	564	(5)
Review Exercises	569	(2)
Checklist of Key Terms	571	(1)
Bibliography	572	(3)
Statistical Tables	575	(35)
Answers to Odd-Numbered Exercises	610	(17)
Index	627