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| Introduction | |
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| What is Statistics? | |
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| Statistics in Our Everyday Life | |
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| Statistics in Aid of Scientific Inquiry | |
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| Two Basic Concepts- Population and Sample | |
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| The Purposeful Collection of Data | |
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| Statistics in Context | |
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| Objectives of Statistics | |
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| Organization and Description of Data | |
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| Introduction | |
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| Main Types of Data | |
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| Describing Data by Tables and Graphs | |
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| Measures of Center | |
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| Measures of Variation | |
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| Checking the Stability of the Observations over Time | |
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| More on Graphics | |
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| Statistics in Context | |
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| Descriptive Study of Bivariate Data | |
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| Introduction | |
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| Summarization of Bivariate Categorical Data | |
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| A Designed Experiment for Making a Comparison | |
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| Scatter Diagram of Bivariate Measurement Data | |
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| The Correlation Coefficient- A Measure of Linear Relation | |
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| Prediction of One Variable from Another (Linear Regression) | |
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| Probability | |
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| Introduction | |
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| Probability of an Event | |
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| Methods of Assigning Probability | |
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| Event Relations and Two Laws of Probability | |
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| Conditional Probability and Independence | |
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| Bayes' Theorem | |
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| Random Sampling from a Finite Population | |
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| Probability Distributions | |
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| Introduction | |
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| Random Variables | |
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| Probability Distribution of a Discrete Random Variable | |
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| Expectation (Mean) and Standard Deviation of a Probability Distribution | |
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| Success and Failures- Bernoulli Trials | |
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| The Binomal Distribution | |
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| The Binomal Distribution in Context | |
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| The Normal Distribution | |
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| Probability Model for a Continuous Random Variable | |
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| The Normal Distribution-Its General Features | |
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| The Standard Normal Distribution | |
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| Probability Calculations with Normal Distributions | |
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| The Normal Approximation to the Binomial | |
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| Checking the Plausibility of a Normal Model | |
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| Transforming Observations to Attain Near Normality | |
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| Variation in Repeated Samples-Sampling Distribution | |
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| Introduction | |
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| The Sampling Distribution of a Statistic | |
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| Distribution of the Sample Mean and the Central Limit Theorem | |
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| Statistics in Context | |
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| Drawing Inferences From Large Samples | |
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| Introduction | |
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| Point Estimation of Population Mean | |
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| Confidence Interval for a Population Mean | |
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| Testing Hypotheses about a Population Mean | |
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| Inferences about a Population Proportion | |
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| Small-Sample Inferences for Normal Populations | |
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| Introduction | |
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| Student's t Distribution | |
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| Inferences about �-Small Sample Size | |
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| Relationship between Tests and Confidence Intervals | |
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| Inferences About the Standard Deviation � (The Chi-Square Distribution) | |
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| Robustness of Inference Procedures | |
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| Comparing Two Treatments | |
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| Introduction | |
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| Independent Random Samples from Two Populations | |
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| Large Samples Inference about Difference of Two Means | |
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| Inferences from Small Samples: Normal Populations with Equal Variances | |
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| Inferences from Small Samples: Normal Populations but Unequal Variances | |
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| Randomization and its Role in Inference | |
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| Matched Pairs Comparisons | |
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| Choosing Between Independent Samples and a Matched Pairs Sample | |
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| Comparing Two Population Proportions | |
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| Regression Analysis I (Simple Linear Regression) | |
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| Introduction | |
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| Regression with a Single Predictor | |
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| A Straight-Line Regression Model | |
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| The Method of Least Squares | |
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| The Sampling Variability of the Least Squares Estimators-Tools for Inference | |
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| Important Inference Problems | |
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| The Strength of a Linear Relation | |
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| Remarks About the Straight Line Model Assumption | |
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| Regression Analysis- II Multiple Linear Regression and Other Topics | |
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| Introduction | |
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| Nonlinear Relations and Linearizing Transformations | |
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| Multiple Linear Regression | |
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| Residual Plots to Check the Adequacy of a Statistical Model | |
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| Review Exercises | |
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| Analysis of Categorical Data | |
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| Introduction | |
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| Pearson's x^2 Test for Goodness of Fit | |
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| Contingency Table with One Margin Fixed (Test of Homogeneity) | |
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| Contingency Table with Neither Margin Fixed (Test of Independence) | |
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| Review Exercises | |
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| Analysis of Variance (ANOVA) | |
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| Introduction | |
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| Comparison of Several Treatments- The Completely Randomized Design | |
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| Population Model and Inferences for a Completely Randomized Design | |
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| Simultaneous Confidence Intervals | |
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| Graphical Diagnostics and Displays to Supplement ANOVA | |
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| Randomized Block Experiments for Comparing k Treatments | |
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| Review Exercises | |
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| Nonparametric Inference | |
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| Introduction | |
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| The Wilcoxon Rank-Sum Test for Comparing Two Treatments | |
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| Matched Pair Comparisons | |
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| Measure of Correlation Based on Ranks | |
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| Concluding Remarks | |
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| Using Statistics Wisely | |
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| Key Ideas and Formulas | |
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| Technology | |
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| Review Exercises | |
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| Summation Notation | |
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| Rules for Counting | |
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| Expectation and Standard Deviation-Properties | |
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| The Expected Value and Standard Deviation of X | |
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| Tables | |