# Introductory Statistics

, by Weiss, Neil A.**Note:**Supplemental materials are not guaranteed with Rental or Used book purchases.

- ISBN: 9780321691224 | 0321691229
- Cover: Hardcover
- Copyright: 12/27/2010

**Neil A. Weiss** received his Ph.D. from UCLA in 1970 and subsequently accepted an assistant-professor position at Arizona State University (ASU), where he was ultimately promoted to the rank of full professor. Dr. Weiss has taught statistics, probability, and mathematics—from the freshman level to the advanced graduate level—for more than 30 years. In recognition of his excellence in teaching, he received the *Dean’s Quality Teaching Award *from the ASU College of Liberal Arts and Sciences. Dr. Weiss’ comprehensive knowledge and experience ensures that his texts are mathematically and statistically accurate, as well as pedagogically sound.

In addition to his numerous research publications, Dr. Weiss is the author of *A Course in Probability *(Addison-Wesley, 2006). He has also authored or coauthored books in finite mathematics, statistics, and real analysis, and is currently working on a new book on applied regression analysis and the analysis of variance. His texts—well known for their precision, readability, and pedagogical excellence—are used worldwide.

Dr. Weiss is a pioneer of the integration of statistical software into textbooks and the classroom, first providing such integration over 20 years ago in the book *Introductory Statistics *(Addison-Wesley, 1982). Weiss and Addison-Wesley continue that pioneering spirit to this day with the inclusion of some of the most comprehensive Web sites in the field.

In his spare time, Dr. Weiss enjoys walking, studying and practicing meditation, and playing hold ’em poker. He is married and has two sons.

Preface

Course Management Notes (Instructor’s Edition only)

Supplements

Technology Resources

Data Sources

**Part I: Introduction**

**1. The Nature of Statistics **

1.1 Statistics Basics

1.2 Simple Random Sampling

1.3 Other Sampling Designs*

1.4 Experimental Designs*

**Part II: Descriptive Statistics**

**2. Organizing Data **

2.1 Variables and Data

2.2 Organizing Qualitative Data

2.3 Organizing Quantitative Data

2.4 Distribution Shapes

2.5 Misleading Graphs*

**3. Descriptive Measures**

3.1 Measures of Center

3.2 Measures of Variation

3.3 The Five-Number Summary; Boxplots

3.4 Descriptive Measures for Populations; Use of Samples

**Part III: Probability, Random Variables, and Sampling Distributions**

**4. Probability Concepts **

4.1 Probability Basics

4.2 Events

4.3 Some Rules of Probability

4.4 Contingency Tables; Joint and Marginal Probabilities*

4.5 Conditional Probability*

4.6 The Multiplication Rule; Independence*

4.7 Bayes’s Rule*

4.8 Counting Rules*

**5. Discrete Random Variables* **

5.1 Discrete Random Variables and Probability Distributions*

5.2 The Mean and Standard Deviation of a Discrete Random Variable*

5.3 The Binomial Distribution*

5.4 The Poisson Distribution*

**6. The Normal Distribution **

6.1 Introducing Normally Distributed Variables

6.2 Areas Under the Standard Normal Curve

6.3 Working with Normally Distributed Variables

6.4 Assessing Normality; Normal Probability Plots

6.5 Normal Approximation to the Binomial Distribution*

**7. The Sampling Distribution of the Sample Mean **

7.1 Sampling Error; the Need for Sampling Distributions

7.2 The Mean and Standard Deviation of the Sample Mean

7.3 The Sampling Distribution of the Sample Mean

**Part IV: Inferential Statistics**

**8. Confidence Intervals for One Population Mean **

8.1 Estimating a Population Mean

8.2 Confidence Intervals for One Population Mean When σ Is Known

8.3 Margin of Error

8.4 Confidence Intervals for One Population Mean When σ Is Unknown

**9. Hypothesis Tests for One Population Mean **

9.1 The Nature of Hypothesis Testing

9.2 Critical-Value Approach to Hypothesis Testing

9.3 *P*-Value Approach to Hypothesis Testing

9.4 Hypothesis Tests for One Population Mean When σ Is Known

9.5 Hypothesis Tests for One Population Mean When σ Is Unknown

9.6 The Wilcoxon Signed-Rank Test*

9.7 Type II Error Probabilities; Power*

9.8 Which Procedure Should Be Used?*

**10. Inferences for Two Population Means **

10.1 The Sampling Distribution of the Difference between Two Sample Means for Independent Samples

10.2 Inferences for Two Population Means, Using Independent Samples: Standard Deviations Assumed Equal

10.3 Inferences for Two Population Means, Using Independent Samples: Standard Deviations Not Assumed Equal

10.4 The Mann–Whitney Test*

10.5 Inferences for Two Population Means, Using Paired Samples

10.6 The Paired Wilcoxon Signed-Rank Test*

10.7 Which Procedure Should Be Used?*

**11. Inferences for Population Standard Deviations* **

11.1 Inferences for One Population Standard Deviation*

11.2 Inferences for Two Population Standard Deviations, Using Independent Samples*

**12. Inferences for Population Proportions **

12.1 Confidence Intervals for One Population Proportion

12.2 Hypothesis Tests for One Population Proportion

12.3 Inferences for Two Population Proportions

**13. Chi-Square Procedures **

13.1 The Chi-Square Distribution

13.2 Chi-Square Goodness-of-Fit Test

13.3 Contingency Tables; Association

13.4 Chi-Square Independence Test

13.5 Chi-Square Homogeneity Test

**Part V: Regression, Correlation, and ANOVA **

**14. Descriptive Methods in Regression and Correlation **

14.1 Linear Equations with One Independent Variable

14.2 The Regression Equation

14.3 The Coefficient of Determination

14.4 Linear Correlation

**15. Inferential Methods in Regression and Correlation **

15.1 The Regression Model; Analysis of Residuals

15.2 Inferences for the Slope of the Population Regression Line

15.3 Estimation and Prediction

15.4 Inferences in Correlation

15.5 Testing for Normality*

**16. Analysis of Variance (ANOVA) **

16.1 The *F*-Distribution

16.2 One-Way ANOVA: The Logic

16.3 One-Way ANOVA: The Procedure

16.4 Multiple Comparisons*

16.5 The Kruskal–Wallis Test*

**Part VI: Multiple Regression and Model Building; Experimental Design and ANOVA (On The WeissStats CD-ROM)**

**Module A. Multiple Regression Analysis **

A.1 The Multiple Linear Regression Model

A.2 Estimation of the Regression Parameters

A.3 Inferences Concerning the Utility of the Regression Model

A.4 Inferences Concerning the Utility of Particular Predictor Variables

A.5 Confidence Intervals for Mean Response; Prediction Intervals for Response

A.6 Checking Model Assumptions and Residual Analysis

**Module B. Model Building in Regression **

B.1 Transformations to Remedy Model Violations

B.2 Polynomial Regression Model

B.3 Qualitative Predictor Variables

B.4 Multicollinearity

B.5 Model Selection: Stepwise Regression

B.6 Model Selection: All Subsets Regression

B.7 Pitfalls and Warnings

**Module C. Design of Experiments and Analysis of Variance **

C.1 Factorial Designs

C.2 Two-Way ANOVA: The Logic

C.3 Two-Way ANOVA: The Procedure

C.4 Two-Way ANOVA: Multiple Comparisons

C.5 Randomized Block Designs

C.6 Randomized Block ANOVA: The Logic

C.7 Randomized Block ANOVA: The Procedure

C.8 Randomized Block ANOVA: Multiple Comparisons

C.9 Friedman’s Nonparametric Test for the Randomized Block Design*

**APPENDICES**

**Appendix A: **Statistical Tables

I. Random numbers

II. Areas under the standard normal curve

III. Normal scores

IV. Values of *t _{α} *

V. Values of *W _{α} *

VI. Values of *M _{α} *

VII. Values of *χ _{α} *

^{2}

VIII. Values of *F _{α} *

IX. Critical values for a correlation test for normality

X. Values of *q* _{0.01}

XI. Values of *q* _{0.05}

XII. Binomial probabilities

**Appendix B Answers to Selected Exercises **

Index

Photo Credits

Indexes for Biographical Sketches & Case Studies

**WeissStats CD-ROM (included with every new textbook)**

**Brief Contents**

*Note: *See the WeissStats CD ReadMe file for detailed contents.

Applets

Data Sets

DDXL (Excel Add-In)

Detailed *t* and Chi-square Tables

Focus Database

Formulas and Appendix A Tables

JMP Concept Discovery Modules

Minitab Macros

Regression-ANOVA Modules

Technology Basics

TI Programs

*indicates an optional section