The Extrapolation Problem 1023 Introduction and Abstract of Research Study 1091

16.5 Research Study: Evaluation of Cool-Season Grasses for Putting Greens 1028 16.6 Summary 1034 16.7 Exercises 1034

CHAPTER 17 Analysis of Variance for Some Fixed-, Random-,

and Mixed-Effects Models 1041 17.1 Introduction and Abstract of Research Study 1041 17.2 A One-Factor Experiment with Random Treatment Effects 1044 17.3 Extensions of Random-Effects Models 1048 17.4 Mixed-Effects Models 1056 17.5 Rules for Obtaining Expected Mean Squares 1060 17.6 Nested Factors 1070 17.7 Research Study: Factors Affecting Pressure Drops Across Expansion Joints 1075 17.8 Summary 1080 17.9 Exercises 1081

CHAPTER 18 Split-Plot, Repeated Measures, and Crossover Designs

1091

18.1 Introduction and Abstract of Research Study 1091

18.2 Split-Plot Designed Experiments 1095

18.3 Single-Factor Experiments with Repeated Measures 1101

18.4 Two-Factor Experiments with Repeated Measures on

One of the Factors 1105

18.5 Crossover Designs 1112

18.6 Research Study: Effects of Oil Spill on Plant Growth 1120

18.7 Summary 1122

18.8 Exercises 1122

CHAPTER 19 Analysis of Variance for Some Unbalanced Designs

1135

19.1 Introduction and Abstract of Research Study 1135

19.2 A Randomized Block Design with One or More

Missing Observations 1137

19.3 A Latin Square Design with Missing Data 1143

19.4 Balanced Incomplete Block BIB Designs 1148

19.5 Research Study: Evaluation of the Consistency of

Property Assessments 1155

19.6 Summary and Key Formulas 1159

19.7 Exercises 1160

Appendix: Statistical Tables 1169 Answers to Selected Exercises 1210 References 1250 Index 1254 xi Preface Intended Audience An Introduction to Statistical Methods and Data Analysis, Sixth Edition, provides a broad overview of statistical methods for advanced undergraduate and graduate students from a variety of disciplines. This book is intended to prepare students to solve problems encountered in research projects, to make decisions based on data in general settings both within and beyond the university setting, and finally to be- come critical readers of statistical analyses in research papers and in news reports. The book presumes that the students have a minimal mathematical background high school algebra and no prior course work in statistics. The first eleven chap- ters of the textbook present the material typically covered in an introductory statis- tics course. However, this book provides research studies and examples that connect the statistical concepts to data analysis problems, which are often encountered in undergraduate capstone courses. The remaining chapters of the book cover regres- sion modeling and design of experiments. We develop and illustrate the statistical techniques and thought processes needed to design a research study or experiment and then analyze the data collected using an intuitive and proven four-step approach. This should be especially helpful to graduate students conducting their MS thesis and PhD dissertation research. Major Features of Textbook Learning from Data In this text, we approach the study of statistics by considering a four-step process by which we can learn from data: 1. Designing the Problem 2. Collecting the Data

3.

Summarizing the Data 4. Analyzing Data, Interpreting the Analyses, and Communicating the Results