Statistical Methods

By: Freund,Rudolf JContributor(s): Wilson, Williams JMaterial type: TextTextPublication details: San Diego, Calif. : Academic Press, ©2003Edition: 2nd edDescription: xx, 673 pages : illustrationsISBN: 9780122676512; 0122676513 Subject(s): StatisticsDDC classification: 001.422
Contents:
1 Data and Statistics 1 -- 1.2 Observations and Variables 6 -- 1.3 Types of Measurements for Variables 10 -- 1.4 Distributions 12 -- 1.5 Numerical Descriptive Statistics 19 -- 1.6 Exploratory Data Analysis 32 -- 1.7 Bivariate Data 38 -- 1.8 Populations, Samples, and Statistical Inference -- A Preview 42 -- 2 Probability and Sampling Distributions 62 -- 2.2 Probability 66 -- 2.3 Discrete Probability Distributions 73 -- 2.4 Continuous Probability Distributions 81 -- 2.5 Sampling Distributions 91 -- 2.6 Other Sampling Distributions 101 -- 3 Principles of Inference 117 -- 3.2 Hypothesis Testing 118 -- 3.3 Estimation 139 -- 3.4 Sample Size 144 -- 3.5 Assumptions 147 -- 4 Inferences on a Single Population 159 -- 4.2 Inferences on the Population Mean 161 -- 4.3 Inferences on a Proportion 166 -- 4.4 Inferences on the Variance of One Population 169 -- 4.5 Assumptions 172 -- 5 Inferences for Two Populations 185 -- 5.2 Inferences on the Difference between Means Using Independent Samples 188 -- 5.3 Inferences on Variances 197 -- 5.4 Inferences on Means for Dependent Samples 200 -- 5.5 Inferences on Proportions 205 -- 5.6 Assumptions and Remedial Methods 208 -- 6 Inferences for Two or More Means 219 -- 6.2 The Analysis of Variance 221 -- 6.3 The Linear Model 232 -- 6.5 Specific Comparisons 242 -- 6.6 Random Models 267 -- 6.7 Unequal Sample Sizes 270 -- 6.8 Analysis of Means 270 -- 7 Linear Regression 287 -- 7.2 The Regression Model 290 -- 7.3 Estimation of Parameters [beta subscript 0] and [beta subscript 1] 294 -- 7.4 Estimation of [sigma superscript 2] and the Partitioning of Sums of Squares 297 -- 7.5 Inferences for Regression 301 -- 7.6 Using the Computer 312 -- 7.7 Correlation 316 -- 7.8 Regression Diagnostics 319 -- 8 Multiple Regression 333 -- 8.1 The Multiple Regression Model 336 -- 8.2 Estimation of Coefficients 338 -- 8.3 Inferential Procedures 351 -- 8.4 Correlations 362 -- 8.5 Using the Computer 366 -- 8.6 Special Models 370 -- 8.7 Multicollinearity 379 -- 8.8 Variable Selection 384 -- 8.9 Detection of Outliers, Row Diagnostics 388 -- 9 Factorial Experiments 417 -- 9.3 The Two-Factor Factorial Experiment 422 -- 9.4 Specific Comparisons 431 -- 9.5 No Replications 448 -- 9.6 Three or More Factors 448 -- 10 Design of Experiments 461 -- 10.2 The Randomized Block Design 464 -- 10.3 Randomized Blocks with Sampling 471 -- 10.4 Latin Square Design 476 -- 10.5 Other Designs 480 -- 11 Other Linear Models 508 -- 11.2 The Dummy Variable Model 510 -- 11.3 Unbalanced Data 514 -- 11.4 Computer Implementation of the Dummy Variable Model 516 -- 11.5 Models with Dummy and Interval Variables 517 -- 11.6 Extensions to Other Models 526 -- 11.7 Binary Response Variables 527 -- 12 Categorical Data 557 -- 12.2 Hypothesis Tests for a Multinomial Population 558 -- 12.3 Goodness of Fit Using the x[superscript 2] Test 561 -- 12.4 Contingency Tables 564 -- 12.5 Log linear Model 571 -- 13 Nonparametric Methods 581 -- 13.2 One Sample 586 -- 13.3 Two Independent Samples 588 -- 13.4 More Than Two Samples 590 -- 13.5 Randomized Block Design 593 -- 13.6 Rank Correlation 595 -- 14 Sampling and Sample Surveys 602 -- 14.2 Some Practical Considerations 604 -- 14.3 Simple Random Sampling 606 -- 14.4 Stratified Sampling 609 -- A.1 The Normal Distribution -- Probabilities Exceeding Z 618 -- A.2 The t Distribution -- Values of t Exceeded with Given Probability 623 -- A.3 x[superscript 2] Distribution -- x[superscript 2] Values Exceeded with Given Probability 624 -- A.4 The F Distribution, p = 0.1 625 -- A.5 The F[subscript max] Distribution -- Percentage Points of F[subscript max] = s[superscript 2 subscript max]/s[superscript 2 subscript min] 635 -- A.6 Orthogonal Polynomials (Tables of Coefficients for Polynomial Trends) 636 -- A.7 Percentage Points of the Studentized Range 637 -- A.8 Percentage Points of the Duncan Multiple Range Test 639 -- A.9 Critical Values for the Wilcoxon Signed Rank Test N = 5(1)50 641 -- A.10 The Mann-Whitney Two-Sample Test 642 -- A.11 Exact Critical Values for Use with the Analysis of Means 643 -- Appendix B A Brief Introduction to Matrices 645 -- Matrix Algebra 646 -- Solving Linear Exercises 649.
Summary: Provides an overview of standard statistical methods, including multiple regression, analysis of variance, experimental design, and sampling techniques. Assuming a background of two years of high school algebra, this book teaches data analysis and covers the principles of data collection. It includes examples which contain graphical illustration.
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Reference Books Reference Books Main Library
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Includes Index

1 Data and Statistics 1 --
1.2 Observations and Variables 6 --
1.3 Types of Measurements for Variables 10 --
1.4 Distributions 12 --
1.5 Numerical Descriptive Statistics 19 --
1.6 Exploratory Data Analysis 32 --
1.7 Bivariate Data 38 --
1.8 Populations, Samples, and Statistical Inference --
A Preview 42 --
2 Probability and Sampling Distributions 62 --
2.2 Probability 66 --
2.3 Discrete Probability Distributions 73 --
2.4 Continuous Probability Distributions 81 --
2.5 Sampling Distributions 91 --
2.6 Other Sampling Distributions 101 --
3 Principles of Inference 117 --
3.2 Hypothesis Testing 118 --
3.3 Estimation 139 --
3.4 Sample Size 144 --
3.5 Assumptions 147 --
4 Inferences on a Single Population 159 --
4.2 Inferences on the Population Mean 161 --
4.3 Inferences on a Proportion 166 --
4.4 Inferences on the Variance of One Population 169 --
4.5 Assumptions 172 --
5 Inferences for Two Populations 185 --
5.2 Inferences on the Difference between Means Using Independent Samples 188 --
5.3 Inferences on Variances 197 --
5.4 Inferences on Means for Dependent Samples 200 --
5.5 Inferences on Proportions 205 --
5.6 Assumptions and Remedial Methods 208 --
6 Inferences for Two or More Means 219 --
6.2 The Analysis of Variance 221 --
6.3 The Linear Model 232 --
6.5 Specific Comparisons 242 --
6.6 Random Models 267 --
6.7 Unequal Sample Sizes 270 --
6.8 Analysis of Means 270 --
7 Linear Regression 287 --
7.2 The Regression Model 290 --
7.3 Estimation of Parameters [beta subscript 0] and [beta subscript 1] 294 --
7.4 Estimation of [sigma superscript 2] and the Partitioning of Sums of Squares 297 --
7.5 Inferences for Regression 301 --
7.6 Using the Computer 312 --
7.7 Correlation 316 --
7.8 Regression Diagnostics 319 --
8 Multiple Regression 333 --
8.1 The Multiple Regression Model 336 --
8.2 Estimation of Coefficients 338 --
8.3 Inferential Procedures 351 --
8.4 Correlations 362 --
8.5 Using the Computer 366 --
8.6 Special Models 370 --
8.7 Multicollinearity 379 --
8.8 Variable Selection 384 --
8.9 Detection of Outliers, Row Diagnostics 388 --
9 Factorial Experiments 417 --
9.3 The Two-Factor Factorial Experiment 422 --
9.4 Specific Comparisons 431 --
9.5 No Replications 448 --
9.6 Three or More Factors 448 --
10 Design of Experiments 461 --
10.2 The Randomized Block Design 464 --
10.3 Randomized Blocks with Sampling 471 --
10.4 Latin Square Design 476 --
10.5 Other Designs 480 --
11 Other Linear Models 508 --
11.2 The Dummy Variable Model 510 --
11.3 Unbalanced Data 514 --
11.4 Computer Implementation of the Dummy Variable Model 516 --
11.5 Models with Dummy and Interval Variables 517 --
11.6 Extensions to Other Models 526 --
11.7 Binary Response Variables 527 --
12 Categorical Data 557 --
12.2 Hypothesis Tests for a Multinomial Population 558 --
12.3 Goodness of Fit Using the x[superscript 2] Test 561 --
12.4 Contingency Tables 564 --
12.5 Log linear Model 571 --
13 Nonparametric Methods 581 --
13.2 One Sample 586 --
13.3 Two Independent Samples 588 --
13.4 More Than Two Samples 590 --
13.5 Randomized Block Design 593 --
13.6 Rank Correlation 595 --
14 Sampling and Sample Surveys 602 --
14.2 Some Practical Considerations 604 --
14.3 Simple Random Sampling 606 --
14.4 Stratified Sampling 609 --
A.1 The Normal Distribution --
Probabilities Exceeding Z 618 --
A.2 The t Distribution --
Values of t Exceeded with Given Probability 623 --
A.3 x[superscript 2] Distribution --
x[superscript 2] Values Exceeded with Given Probability 624 --
A.4 The F Distribution, p = 0.1 625 --
A.5 The F[subscript max] Distribution --
Percentage Points of F[subscript max] = s[superscript 2 subscript max]/s[superscript 2 subscript min] 635 --
A.6 Orthogonal Polynomials (Tables of Coefficients for Polynomial Trends) 636 --
A.7 Percentage Points of the Studentized Range 637 --
A.8 Percentage Points of the Duncan Multiple Range Test 639 --
A.9 Critical Values for the Wilcoxon Signed Rank Test N = 5(1)50 641 --
A.10 The Mann-Whitney Two-Sample Test 642 --
A.11 Exact Critical Values for Use with the Analysis of Means 643 --
Appendix B A Brief Introduction to Matrices 645 --
Matrix Algebra 646 --
Solving Linear Exercises 649.


Provides an overview of standard statistical methods, including multiple regression, analysis of variance, experimental design, and sampling techniques. Assuming a background of two years of high school algebra, this book teaches data analysis and covers the principles of data collection. It includes examples which contain graphical illustration.

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