3rd Edition

Statistics for Technology A Course in Applied Statistics, Third Edition

By Chris Chatfield Copyright 1983
    384 Pages
    by Chapman & Hall

    384 Pages
    by Chapman & Hall

    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.

    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

    Biography

    Chatfield, Chris

    "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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