Statistical methods

Statistical Methods
Copyright Page
Contents
Preface
Chapter 1. Data and Statistics
	1.1 Introduction
	1.2 Observations and Variables
	1.3 Types of Measurements for Variables
	1.4 Distributions
	1.5 Numerical Descriptive Statistics
	1.6 Exploratory Data Analysis
	1.7 Bivariate Data
	1.8 Populations, Samples, and Statistical Inference — A Preview
	1.9 Chapter Summary
	1.10 Chapter Exercises
Chapter 2. Probability and Sampling Distributions
	2.1 Introduction
	2.2 Probability
	2.3 Discrete Probability Distributions
	2.4 Continuous Probability Distributions
	2.5 Sampling Distributions
	2.6 Other Sampling Distributions
	2.7 Chapter Summary
	2.8 Chapter Exercises
Chapter 3. Principles of Inference
	3.1 Introduction
	3.2 Hypothesis Testing
	3.3 Estimation
	3.4 Sample Size
	3.5 Assumptions
	3.6 Chapter Summary
	3.7 Chapter Exercises
Chapter 4. Inferences on a Single Population
	4.1 Introduction
	4.2 Inferences on the Population Mean
	4.3 Inferences on a Proportion
	4.4 Inferences on the Variance of One Population
	4.5 Assumptions
	4.6 Chapter Summary
	4.7 Chapter Exercises
Chapter 5. Inferences for Two Populations
	5.1 Introduction
	5.2 Inferences on the Difference between Means Using Independent Samples
	5.3 Inferences on Variances
	5.4 Inferences on Means for Dependent Samples
	5.5 Inferences on Proportions
	5.6 Assumptions and Remedial Methods
	5.7 Chapter Summary
	5.8 Chapter Exercises
Chapter 6. Inferences for Two or More Means
	6.1 Introduction
	6.2 The Analysis of Variance
	6.3 The Linear Model
	6.4 Assumptions
	6.5 Specific Comparisons
	6.6 Random Models
	6.7 Unequal Sample Sizes
	6.8 Analysis of Means
	6.9 Chapter Summary
	6.10 Chapter Exercises
Chapter 7. Linear Regression
	7.1 Introduction
	7.2 The Regression Model
	7.3 Estimation of Parameters β0 and β1
	7.4 Estimation of σ2 and the Partitioning of Sums of Squares
	7.5 Inferences for Regression
	7.6 Using the Computer
	7.7 Correlation
	7.8 Regression Diagnostics
	7.9 Chapter Summary
	7.10 Chapter Exercises
Chapter 8. Multiple Regression
	8.1 The Multiple Regression Model
	8.2 Estimation of Coefficients
	8.3 Inferential Procedures
	8.4 Correlations
	8.5 Using the Computer
	8.6 Special Models
	8.7 Multicollinearity
	8.8 Variable Selection
	8.9 Detection of Outliers, Row Diagnostics
	8.10 Chapter Summary
	8.11 Chapter Exercises
Chapter 9. Factorial Experiments
	9.1 Introduction
	9.2 Concepts and Definitions
	9.3 The Two-Factor Factorial Experiment
	9.4 Specific Comparisons
	9.5 No Replications
	9.6 Three or More Factors
	9.7 Chapter Summary
	9.8 Chapter Exercises
Chapter 10. Design of Experiments
	10.1 Introduction
	10.2 The Randomized Block Design
	10.3 Randomized Blocks with Sampling
	10.4 Latin Square Design
	10.5 Other Designs
	10.6 Chapter Summary
	10.7 Chapter Exercises
Chapter 11. Other Linear Models
	11.1 Introduction
	11.2 The Dummy Variable Model
	11.3 Unbalanced Data
	11.4 Computer Implementation of the Dummy Variable Model
	11.5 Models with Dummy and Interval Variables
	11.6 Extensions to Other Models
	11.7 Binary Response Variables
	11.8 Chapter Summary
	11.9 Chapter Exercises
Chapter 12. Categorical Data
	12.1 Introduction
	12.2 Hypothesis Tests for a Multinomial Population
	12.3 Goodness of Fit Using the X2 Test
	12.4 Contingency Tables
	12.5 Log linear Model
	12.6 Chapter Summary
	12.7 Chapter Exercises
Chapter 13. Nonparametric Methods
	13.1 Introduction
	13.2 One Sample
	13.3 Two Independent Samples
	13.4 More Than Two Samples
	13.5 Randomized Block Design
	13.6 Rank Correlation
	13.7 Chapter Summary
	13.8 Chapter Exercises
Chapter 14. Sampling and Sample Surveys
	14.1 Introduction
	14.2 Some Practical Considerations
	14.3 Simple Random Sampling
	14.4 Stratified Sampling
	14.5 Other Topics
	14.6 Chapter Summary
Appendix A.
A.1 The Normal Distribution—Probabilities Exceeding Z
A.1A Selected Probability Values for the Normal Distribution— Values of Z Exceeded with Given Probability
A.2 The t Distribution—Values of t Exceeded with Given Probability
A.3 X2 Distribution—X2 Values Exceeded with Given Probability
A.4 The F Distribution, p= 0.1
A.4A The F Distribution, p = 0.05
A.4B The F Distribution, p = 0.025
A.4C The F Distribution, p = 0.01
A.4D The F Distribution, p = 0.005
A.5 The Fmax Distribution—Percentage Points of Fmax = s2 max/s2 min
A.6 Orthogonal Polynomials (Tables of Coefficients for Polynomial Trends)
A.7 Percentage Points of the Studentized Range
A.8 Percentage Points of the Duncan Multiple Range Test
A.9 Critical Values for the Wilcoxon Signed Rank Test N= 5(1)50
A.10 The Mann–Whitney Two-Sample Test
A.11 Exact Critical Values for Use with the Analysis of Means
Appendix B. A Brief Introduction to Matrices
	Matrix Algebra
	Solving Linear Equations
References
Solutions to Selected Exercises
Index