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Tables of Contents for Engineering Statistics
Chapter/Section Title
Page #
Page Count
The Role of Statistics in Engineering
1
18
The Engineering Method and Statistical Thinking
1
4
Collecting Engineering Data
5
2
Mechanistic and Empirical Models
7
3
Designing Experimental Investigations
10
3
Observing Processes over Time
13
6
Data Summary and Presentation
19
27
Data Summary and Display
19
6
Stem-and-Leaf Diagram
25
6
Frequency Distribution and Histogram
31
4
Box Plot
35
3
Time Sequence Plots
38
8
Random Variables and Probability Distributions
46
88
Introduction
47
2
Random Variables
49
2
Probability
51
4
Continuous Random Variables
55
9
Probability Density Function
55
3
Cumulative Distribution Function
58
2
Mean and Variance
60
4
Normal Distribution
64
12
Probability Plots
76
4
Discrete Random Variables
80
5
Probability Mass Function
80
2
Cumulative Distribution Function
82
1
Mean and Variance
83
2
Bionomial Distribution
85
8
Poisson process
93
12
Poisson Distribution
93
7
Exponential Distribution
100
5
Normal Approximation to the Binomial and Poisson Distributions
105
5
More Than One Random Variable and Independence
110
8
Joint Distributions
110
2
Independence
112
6
Random Samples, Statistics, and the Central Limit Theorem
118
16
Decision Making for a Single Sample
134
82
Statistical Inference
135
1
Point Estimation
136
7
Hypothesis Testing
143
14
Stastical Hypotheses
143
2
Testing Statistical Hypotheses
145
8
One-Sided and Two-Sided Hypotheses
153
2
General Procedure for Hypothesis Testing
155
2
Inference on the Mean of a Population, Variance Known
157
19
Hypothesis Testing on the Mean
158
3
P-Values in Hypothesis Testing
161
1
Type II Error and Choice of Sample Size
162
3
Large-Sample Test
165
1
Some Practical Comments on Hypothesis Testing
166
1
Confidence Interval on the Mean
167
7
General Method for Deriving a Confidence Interval
174
2
Inference on the Mean of a Population, Variance Unknown
176
12
Hypothesis Testing on the Mean
176
5
P-Value for a t-Test
181
1
Computer Solution
182
1
Type II Error and Choice of Sample Size
183
1
Confidence Interval on the Mean
184
4
Inference on the Variance of a Normal Population
188
6
Hypothesis Testing on the Variance of a Normal Population
188
4
Confidence Interval on the Variance of a Normal Population
192
2
Inference on a Population Proportion
194
10
Hypothesis Testing on a Binomial Proportion
195
2
Type II Error and Choice of Sample Size
197
2
Confidence Interval on a Binomial Proportion
199
5
Summary Tables of Inference Procedures for a Single Sample
204
1
Testing for Goodness of Fit
204
12
Decision Making for Two Samples
216
77
Introduction
217
1
Inference on the Means of Two Populations, Variances Known
217
9
Hypothesis Testing on the Difference in Means, Variances Known
218
2
Type II Error and Choice of Sample Size
220
1
Confidence Interval on the Difference in Means, Variances Known
221
5
Inference on the Means of Two Populations, Variances Unknown
226
14
Hypothesis Testing on the Difference in Means
226
6
Type II Error and Choice of Sample Size
232
1
Confidence Interval on the Difference in Means
233
2
Computer Solution
235
5
The Paired t-Test
240
8
Inference on the Ratio of Variances of Two Normal Populations
248
7
Hypothesis Testing on the Ratio of Two Variances
248
4
Confidence Interval on the Ratio of Two Variances
252
3
Inference on Two Population Proportions
255
6
Hypothesis Testing on the Equality of Two Binomial Proportion
255
2
Type II Error and Choice of Sample Size
257
2
Confidence Interval on the Difference in Binomial Proportion
259
2
Summary Tables for Inference Procedures for Two Samples
261
1
What If We Have More Than Two Samples?
261
32
Completely Randomized Experiment and Analysis of Variance
261
13
Randomized Complete Block Experiment
274
19
Building Empirical Models
293
58
Introduction to Empirical Models
293
8
Least Squares Estimation of the Parameters
301
15
Simple Linear Regression
301
4
Multiple Linear Regression
305
11
Properties of the Least Squares Estimators and Estimation of σ2
316
3
Hypothesis Testing in Linear Regression
319
7
Test for Significance of Regression
319
4
Tests on Individual Regression Coefficients
323
3
Confidence Intervals in Linear Regression
326
5
Confidence Intervals on Individual Regression Coefficients
326
2
Confidence Interval on the Mean Response
328
3
Prediction of New Observations
331
5
Assessing the Adequacy of the Regression Model
336
15
Residual Analysis
336
4
Coefficient of Multiple Determination
340
2
Influential Observations
342
9
Design of Engineering Experiments
351
97
The Strategy of Experimentation
351
2
Some Applications of Experimental Design Techniques
353
4
Factorial Experiments
357
5
2k Factorial Design
362
12
22 Example
362
3
Statistical Analysis
365
4
Residual Analysis and Model Checking
369
5
2k Design for k ≥ 3 Factors
374
7
Single Replicate of a 2k Design
381
5
Center Points and Blocking in 2k Designs
386
12
Addition of Center Points
386
4
Blocking and Confounding
390
8
Fractional Replication of a 2k Design
398
19
One-Half Fraction of a 2k Design
398
7
Smaller Fractions: 2k-p Fractional Factorial Design
405
12
Response Surface Methods and Designs
417
15
Method of Steepest Ascent
419
3
Analysis of a Second-Order Response Surface
422
10
Factorial Experiments with More Than Two Levels
432
16
Statistical Quality Control
448
47
Quality Improvement and Statistics
448
2
Statistical Quality Control
450
1
Statistical Process Control
450
1
Introduction to Control Charts
451
11
Basic Principles
451
5
Design of a Control Chart
456
1
Rational Subgroups
457
1
Analysis of Patterns on Control Charts
458
4
X and R Control Charts
462
8
Control Charts for Individual Measurements
470
5
Process Capability
475
6
Attribute Control Charts
481
7
P Chart (Control Chart for Proportions) and nP Chart
481
3
U Chart (Control Chart for Average Number of Defects per Unit) and C Chart
484
4
Control Chart Performance
488
7
Appendices
495
1
A. Statistical Tables and Charts
A-1
1
B. Bibliography
B-1
1
C. Answers to Selected Problems
C-1
1
Index
I-1