Başlık:
Probability and statistics for engineers and scientists
Yazar:
Walpole, Ronald E.
ISBN:
9780138402082
Ek Yazar:
Edition:
6th ed.
Yayım Bilgisi:
Upper Saddle River, N.J. : Prentice Hall, c1998.
Fiziksel Tanım:
xii, 739 p. : ill. (some col.) ; 25 cm.
Mevcut:*
Library | Materyal Türü | Barkod | Yer Numarası | Durum |
|---|---|---|---|---|
Searching... Pamukkale Merkez Kütüphanesi | Kitap | 0019641 | TA340.W35 1998 | Searching... Unknown |
Searching... Pamukkale Merkez Kütüphanesi | Kitap | 0017416 | TA340.W35 1998 | Searching... Unknown |
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Özet
Özet
This classic, market leading text provides a rigorous introduction to basic probability theory and statistical inference for students with a background in calculus. The new edition features many new exercises and applications based on real data.
Table of Contents
| Preface |
| 1 Introduction to Statistics and Data Analysis |
| Overview: Statistical Inference, Samples, Populations, and Experimental Design |
| The Role of Probability |
| Sampling Procedures |
| Collection of Data |
| Measures of Location: The Sample Mean |
| Measures of Variability |
| Discrete and Continuous Data |
| Statistical Modeling, Scientific Inspection, and Graphical Diagnostics |
| Graphical Methods and Data Description |
| 2 Probability |
| Sample Space |
| Events |
| Counting Sample Points |
| Probability of an Event |
| Additive Rules |
| Conditional Probability |
| Multiplicative Rules |
| Bayes' Rule |
| 3 Random Variables and Probability Distributions |
| Concept of a Random Variable |
| Discrete Probability Distributions |
| Continuous Probability Distributions |
| Joint Probability Distributions |
| 4 Mathematical Expectation |
| Mean of a Random Variable |
| Variance and Covariance |
| Means and Variances of Linear Combinations of Random Variables |
| Chebyshev's Theorem |
| 5 Some Discrete Probability Distributions |
| Discrete Uniform Distribution |
| Binomial and Multinomial Distributions |
| Hypergeometric Distribution |
| Negative Binomial and Geometric Distributions |
| Poisson Distribution and the Poisson Process |
| 6 Some Continuous Probability Distributions |
| Continuous Uniform Distribution |
| Normal Distribution |
| Areas Under the Normal Curve |
| Applications of the Normal Distribution |
| Normal Approximation to the Binomial |
| Gamma and Exponential Distributions |
| Applications of the Exponential and Gamma Distributions |
| Chi-Squared Distribution |
| Lognormal Distribution |
| Weibull Distribution |
| 7 Functions of Random Variables (Optional) |
| Transformations of Variables |
| Moments and Moment-Generating Functions |
| 8 Fundamental Sampling Distributions and Data Descriptions |
| Random Sampling |
| Some Important Statistics |
| Data Displays and Graphical Methods |
| Sampling Distributions |
| Sampling Distribution of Means |
| Sampling Distribution of S2 |
| T-Distribution |
| F-Distribution |
| 9 One- and Two-Sample Estimation Problems |
| Statistical Inference |
| Classical Methods of Estimation |
| Single Sample: Estimating the Mean |
| Standard Error of a Point Estimate |
| Prediction Interval |
| Tolerance Limits |
| Two Samples: Estimating the Difference Between Two Means |
| Paired Observations |
| Single Sample: Estimating a Proportion |
| Two Samples: Estimating the Difference Between Two Proportions |
| Single Sample: Estimating the Variance |
| Two Samples: Estimating the Ratio of Two Variances |
| Bayesian Methods of Estimation (Optional) |
| Maximum Likelihood Estimation (Optional) |
| 10 One- and Two-Sample Tests of Hypotheses |
| Statistical Hypotheses: General Concepts |
| Testing a Statistical Hypothesis |
| One- and Two-Tailed Tests/ The Use of P/D-Values for Decision Making |
| Single Sample: Tests Concerning a Single Mean (Variance Known) |
| Relationship to Confidence Interval Estimation |
| Single Sample: Tests on a Single Mean (Variance Unknown) |
| Two Samples: Tests on Two Means |
| Choice of Sample Size for Testing Means |
| Graphical Methods for Comparing Means |
| One Sample: Test on a Single Proportion |
| Two Samples: Tests on Two Proportions |
| One- and Two-Sample Tests Concerning Variances |
| Goodness-of-Fit Test |
| Test for Independence (Categorical Data) |
| Test for Homogeneity |
| Testing for Several Proportions |
| Two-Sample Case Study |
| 11 Simple Linear Regression and Correlation |
| Introduction to Linear Regression |
| Simple Linear Regression |
| Least Squares and The Fitted Model |
| Properties of the Least Squares Estimators |
| Inferences Concerning the Regression Coefficients |
| Prediction |
| Choice of a Regression Model |
| Analysis-of-Variance Approach |
| Test for Linearity of Regression: Data with Repeated Observations |
| Data Plots and Transformations |
| Simple Linear Regression Case Study |
| Correlation |
| 12 Multiple Linear Regression and Certain Nonlinear Regression Models |
| Estimating the Coefficients |
| Linear Regression Model Using Matrices (Optional) |
| Properties of the Least Squares Estimators |
| Inferences in Multiple Linear Regression |
| Choice of a Fitted Model Through Hypothesis Testing |
| Special Case of Orthogonality (Optional) |
| Categorical or Indicator Variables |
| Sequential Methods for Model Selection |
| Study of Residuals and Violation of Assumptions |
| Cross Validation, Cvp, and Other Criteria for Model Selection |
| Special Nonlinear Models for Nonideal Conditions |
| 13 One Factor Experiments: General |
| Analysis-of-Variance Technique |
| The Strategy of Experimental Design |
| One-Way Analysis of Variance: Completely Randomized Design |
| Tests for the Equality of Several Variances |
| Single-Degree-of-Freedom Comparisons |
| Multiple Comparisons |
| Comparing Treatments with a Control |
| Comparing a Set of Treatments in Blocks |
| Randomized Complete Block Designs |
| Graphical Methods and Further Diagnostics |
| Latin Squares (Optional) |
| Random Effects Models |
| Power of Analysis-of-Variance Tests |
| Case Study |
| 14 Factorial Experiments (Two or More Factors) |
| Interaction and the Two-Factor Experiment |
| Two-Factor Analysis of Variance |
| Graphical Analysis in the Two-Factor Problem |
| Three-Factor Experiments |
| Model II and III Factorial Experiments |
| Choice of Sample Size |
| 15 2k Factorial Experiments and Fractions |
| 15 |
| Analysis of Variance and the Calculation of Effects |
| Nonreplicated 2k Factorial Experiment |
| Injection Molding Case Study |
| Factorial Experiments in Incomplete Blocks |
| Partial Confounding |
| Factorial Experiments in a Regression Setting |
| The Orthogonal Design |
| Fractional Factorial Experiments |
| Analysis of Fractional Factorial Experiments |
| Higher Fractions and Screening Designs |
| Construction of Resolution III and IV Designs with 8,16, and 32 Design Points |
| Other Two-Level Resolution III Designs |
| The Plackett-Burman Designs |
| Taguchi's Robust Parameter Design |
| 16 Nonparametric Statistics |
| Nonparametric Tests |
| Sign Test |
| Signed-Rank Test |
| Rank-Sum Test |
| Kruskal-Wallis Test |
| Tolerance Limits |
| Rank Correlation Coefficient |
| 17 Statistical Quality Control |
| Nature of the Control Limits |
| Purposes of the Control Chart |
| Control Charts for Variables |
| Control Charts for Attributes |
| Cusum Control Charts |
| Bibliography |
| Appendix: Statistical Tables and Proofs of Some Theoretical Results |
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