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Introductory Statistics
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Table of Contents

I. INTRODUCTION.

1. The Nature Of Statistics.
Case Study.General Objectives.Chapter Outline.Two Kinds of Statistics.Classifying Statistical Studies.The Development of Statistics.Using the Computer.Is a Study Necessary?Simple Random Sampling.Other Sampling Procedures.Observational Studies and Designed Experiments.Introduction to Experimental Design.Internet Project.Using the Focus Database.Case Study Discussion.Biography.Chapter Review.Review Test.

II. DESCRIPTIVE STATISTICS.

2. Organizing Data.
Case Study.General Objectives.Chapter Outline.Variables and Data.Grouping Data.Graphs and Charts.Stem-and-Leaf Diagrams.Distribution Shapes; Symmetry and Skewness.Misleading Graphs.Internet Project.Using the Focus Database.Case Study Discussion.Biography.Chapter Review.Review Test.3. Descriptive Measures.
Case Study.General Objectives.Chapter Outline.Measures of Center.The Sample Mean.Measures of Variation; the Sample Standard Deviation.The Five-Number Summary; Boxplots.Descriptive Measures for Populations; Use of Samples.Internet Project.Using the Focus Database.Case Study Discussion.Biography.Chapter Review.Review Test.

III. PROBABILITY, RANDOM VARIABLES, AND SAMPLING DISTRIBUTIONS.

4. Probability Concepts.
Case Study.General Objectives.Chapter Outline.Probability Basics.Events.Some Rules of Probability.Contingency Tables; Joint and Marginal Probabilities.Conditional Probability.The Multiplication Rule; Independence.Bayes's Rule.Counting Rules.Internet Project.Using the Focus Database.Case Study Discussion.Biography.Chapter Review.Review Test.5. Discrete Random Variables.
Case Study.General Objectives.Chapter Outline.Discrete Random Variables; Probability Distributions.The Mean and Standard Deviation of a Discrete Random Variable.The Binomial Distribution.The Poisson Distribution.Internet Project.Using the Focus Database.Case Study Discussion.Biography.Chapter Review.Review Test.6. The Normal Distribution.
Case Study.General Objectives.Chapter Outline.Introducing Normally Distributed Variables.Areas Under the Standard Normal Curve.Working With Normally Distributed Variables.Assessing Normality; Normal Probability Plots.The Normal Approximation to the Binomial Distribution.Internet Project.Using the Focus Database.Case Study Discussion.Biography.Chapter Review.Review Test.7. The Sampling Distribution of the Mean.
Case Study.General Objectives.Chapter Outline.Sampling Error; the Need for Sampling Distributions.The Mean and Standard Deviation of X—The Sampling Distribution of the Mean.Internet Project.Using the Focus Database.Case Study Discussion.Biography.Chapter Review.Review Test.

IV. INFERENTIAL STATISTICS.

8. Confidence Intervals for One Population Mean.
Case Study.General Objectives.Chapter Outline.Estimating a Population Mean.Confidence Intervals for One Population Mean When Is Known.Margin of Error.Confidence Intervals for One Population Mean When Is Unknown.Internet Project.Using the Focus Database.Case Study.Discussion.Biography.Chapter Review.Review Test.9. Hypothesis Tests for One Population Mean.
Case Study.General Objectives.Chapter Outline.The Nature of Hypothesis Testing.Terms, Errors, and Hypotheses.Hypothesis Tests for One Population Mean When Is Known.Type II Error Probabilities; Power.P-Values.Hypothesis Tests for One Population Mean When Is Unknown.The Wilcoxon Signed-Rank Test.Which Procedure Should Be Used?Internet Project.Using the Focus Database.Case Study Discussion.Biography.Chapter Review.Review Test.10. Inferences for Two Population Means.
Case Study.General Objectives.Chapter Outline.The Sampling Distribution of the Difference Between Two Means for Independent Samples.Inferences for Two Population Means Using Independent Samples (Standard Deviations Assumed Equal).Inferences for Two Population Means Using Independent Samples (Standard Deviations Not Assumed Equal).The Mann-Whitney Test.Inferences for Two Population Means Using Paired Samples.The Paired Wilcoxon Signed-Rank Test.Which Procedure Should Be Used?Internet Project.Using the Focus Database.Case Study Discussion.Biography.Chapter Review.Review Test.11. Inferences for Population Standard Deviations.
Case Study.General Objectives.Chapter Outline.Inferences for One Population Standard Deviation.Inferences for Two Population Standard Deviations Using Independent Samples.Internet Project.Using the Focus Database.Case Study Discussion.Biography.Chapter Review.Review Test.12. Inferences for Population Proportions.
Case Study.General Objectives.Chapter Outline.Confidence Intervals for One Population Proportion.Hypothesis Tests for One Population Proportion.Inferences for Two Population Proportions Using Independent Samples.Internet Project.Using the Focus Database.Case Study Discussion.Biography.Chapter.Review.Review Test.13.Chi-Square Procedures.
Case Study.General Objectives.Chapter Outline.The Chi-Square Distribution.Chi-Square Goodness-Of-Fit Test.Contingency Tables; Association.Chi-Square Independence Test.Internet Project.Using the Focus Database.Case Study Discussion.Biography.Chapter Review.Review Test.

V. REGRESSION, CORRELATION, AND ANOVA.

14. Descriptive Methods in Regression and Correlation.
Case Study.General Objectives.Chapter Outline.Linear Equations with One Independent Variable.The Regression Equation.The Coefficient of Determination.Linear Correlation.Internet Project.Using the Focus Database.Case Study Discussion.Biography.Chapter Review.Review Test15. Inferential Methods in Regression and Correlation.
Case Study.General Objectives.Chapter Outline.The Regression Model; Analysis of Residuals.Inferences for the Slope of the Population Regression Line.Estimation and Prediction.Testing for Normality.Internet Project.Using the Focus Database.Case Study Discussion.Biography.Chapter Review.Review Test.16. Analysis of Variance (ANOVA).
Case Study.General Objectives.Chapter Outline.The F-Distribution.One-Way ANOVA: The Logic.One-Way ANOVA: The Procedure.Multiple Comparisons.The Kruskal-Wallis Test.Internet Project.Using the Focus Database.Case Study Discussion.Biography.Chapter Review.Review Test.Optional Modular Chapters available as Supplements or Custom Additions to the text.

VI. MULTIPLE REGRESSION AND MODEL BUILDING; EXPERIMENTAL DESIGN AND ANOVA.

17. Multiple Regression Analysis.
Case StudyGeneral Objectives.Chapter Outline.The Multiple Linear Regression Model.Estimation of the Regression Parameters.Inferences Concerning the Utility of the Regression Model.Inferences Concerning the Utility of Particular Predictor Variables.Confidence Intervals for Mean Response; Prediction Intervals for Response.Checking Model Assumptions and Residual Analysis.Internet Project.Using the Focus Database.Case Study Discussion.Biography.Chapter Review.Review Test.Chapter 18. Model Building in Regression.
Case Study.General Objectives.Chapter Outline.Transformations to Remedy Model Violations.Specific Models: Polynomial Models/ Qualitative Predictors.Model Selection in Multiple Regression.Pitfalls and Warnings.Internet Project.Using the Focus Database.Case Study Discussion.Biography.Chapter Review.Review Test.19. Design of Experiments and Analysis of Variance.
Case Study.General Objectives.Chapter Outline.Completely Randomized Design.Factorial Design.Two-Way ANOVA (Balanced Data).Randomized Block Design.One-Way Randomized Block Analysis.Internet Project.Using the Focus Database.Case Study Discussion.Biography.Chapter Review.Review Test.

APPENDIXES.

Appendix A: Statistical Tables.
I. Random numbers.II. Areas under the standard normal curve.III. Normal scores.IV. Values of t…V. Critical values for a Wilcoxon signed-rank test.VI. Critical values for a one-tailed Mann—Whitney test with … = 0.025 or a two-tailed Mann—Whitney test with … = 0.05.VII. Critical values for a one-tailed Mann—Whitney test with … = 0.05 or a two-tailed Mann—Whitney test with … = 0.10.VIII. Values of X2….IX. Values of F….X. Critical Values for a correlation test for normality.XI. Values of q0.01.XII. Values of q0.05.Appendix B: Answers to Selected Exercises.

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