Statistics for Technology : A Course in Applied Statistics, Third Edition book cover
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Statistics for Technology
A Course in Applied Statistics, Third Edition





ISBN 9780412253409
Published June 1, 1983 by Chapman and Hall/CRC
384 Pages

 
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Book Description

One of the most popular introductory texts in its field, Statistics for Technology: A Course in Applied Studies presents the range of statistical methods commonly used in science, social science, and engineering.
The mathematics are simple and straightforward; statistical concepts are explained carefully; and real-life (rather than contrived) examples are used throughout the chapters.
Divided into three parts, the Introduction describes some simple methods of summarizing data. Theory examines the basic concepts and theory of statistics. Applications covers the planning and procedures of experiments, quality control, and life testing.
Revised throughout, this Third Edition places a higher priority on the role of computers in analysis, and many new references have been incorporated. A new appendix describes general methods of tackling statistical problems, including guidance on literature searching and report writing.

Table of Contents

INTRODUCTION
Outline of Statistics
Simple Ways of Summarizing Data
Introduction
Graphical Methods
Summary Statistics
THEORY
The Concept of Probability
Probability and Statistics
Some Definitions
Types of Events
Permutations and Combinations
Random Variables
Discrete Distributions
The Discrete Probability Distribution
The Binomial Distribution
The Binomial Model
Types of Distribution
The Mean and Variance of the Binomial Distribution
The Poisson Distribution
Bivariate Discrete Distributions
Continuous Distributions
Definitions
The Mean and Variance of Continuous Distributions
The Normal Distribution
Uses of the Normal Distribution
Normal Probability Paper
The Exponential Distribution
Bivariate Continuous Distributions
Estimation
Point and Interval Estimates
Properties of the Expected Value
The Sampling Distribution of (INSERT SYMBOL)
The Sampling Distribution of s2
Some Properties of Estimators
General Methods of Point Estimation
Interval Estimation
Significance Tests
Introduction
Tests on a Sample Mean
Comparing Two Sample Means
The t- Test Applied to Paired Comparisons
The x2 Goodness-of-Fit Test
The F- test
Distribution-Free or Non-Parametric Tests
Power and Other Considerations
Regression and Correlation
Scatter Diagram
Curve Fitting
Regression
Confidence Intervals and Significance Tests in Linear Regression
The Coefficient of Determination
Multiple and Curvilinear Regression
Orthogonal Polynomials
The Design of Regression Experiments
The Correlation Coefficient
Estimating the Regression Lines
The Bivariate Normal Distribution
Interpretation of the Correlation Coefficient
APPLICATIONS
Planning the Experiment
Preliminary Remarks
Measurements
The Propagation of Error
Improving Precision With Series and Parallel Arrangements
Combining Dissimilar Estimates by the Method of Least Squares
The Design and Analysis of Experiments-1: Comparative Experiments
Some Basic Considerations in Experimental Design
A Mathematical Model for Simple Comparative Experiments
The Number of Replications
Randomization
The Analysis of a Randomized Comparative Experiment
The Range Test
One-Way Analysis of Variance
Follow-Up Study of the Treatment Means
Verifying the Model
The Randomized Block Experiment
Two-Way Analysis of Variance
Latin Squares
Balanced Incomplete Block Designs
The Design and Analysis of Experiments-2: Factoral Experiments
Introduction
The Advantages of Complete Factorial Experiments
The Design of Complete Factorial Experiments
The Analysis of a Complete Factorial Experiment
Follow-Up Procedure
The 2n Factorial Design
Fixed Effects and Random Effects
Other Topics
The Examination of Residuals
Determination of Optimum Conditions
Summary
Quality Control
Acceptance Sampling
Operating Characteristic Curve
Types of Sampling Schemes
Rectifying Schemes
The Military Standard Plan
Sampling by Variables
Practical Problems
Process Control
Control Charts for Samples
Cusum Charts
Prediction, System Identification, and Control
Life Testing
Problems in Measuring Reliability
The Mathematical Distribution of Failure Times
The Exponential Distribution
Estimating the Conditional Failure Rate
The Weibull Distribution
Appendix A: The Relationships Between the Normal X2, t- and F-distributions
Appendix B: Statistical Tables
Table 1. Areas Under the Normal Curve
Table 2. Percentage Points of Student's t- Distribution
Table 3. Percentage Points of the x2 Distribution
Table 4. Upper Percentage Points of the F- Distribution
Table 5. Values of e-x
Table 6. Percentage Points of the Distribution of the Studentized Range
Table 7. Random Numbers
Appendix C: Further Reading
Appendix D: Some Other Topics
Calculating the Mean and Standard Deviation of a Frequency Distribution
Interpretation of the Sample Standard Deviation
How to Round Numbers
Stem-and-Leaf Plots and Box Plots
Estimating and Testing a Proportion
Appendix E: Some General Comments on Tackling Statistical Problems
Preliminary Questions
Collecting the Data
Preliminary Data Analysis
Choice of a More Elaborate Method
Using a Computer
Using a Library
Presenting the Results
Answers to Exercises

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Reviews

"The book will appeal not only to technologists requiring an introduction to statistics, but to lecturers in applied statistics and those running statistical 'service' courses for other disciplines. The industrial statistician will also find material useful in his dealings with engineers and technologists."
-Journal of the Royal Statistical Society

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