Introduction | |

What is Statistics? | |

Statistics in Our Everyday Life | |

Statistics in Aid of Scientific Inquiry | |

Two Basic Concepts- Population and Sample | |

The Purposeful Collection of Data | |

Statistics in Context | |

Objectives of Statistics | |

Organization and Description of Data | |

Introduction | |

Main Types of Data | |

Describing Data by Tables and Graphs | |

Measures of Center | |

Measures of Variation | |

Checking the Stability of the Observations over Time | |

More on Graphics | |

Statistics in Context | |

Descriptive Study of Bivariate Data | |

Introduction | |

Summarization of Bivariate Categorical Data | |

A Designed Experiment for Making a Comparison | |

Scatter Diagram of Bivariate Measurement Data | |

The Correlation Coefficient- A Measure of Linear Relation | |

Prediction of One Variable from Another (Linear Regression) | |

Probability | |

Introduction | |

Probability of an Event | |

Methods of Assigning Probability | |

Event Relations and Two Laws of Probability | |

Conditional Probability and Independence | |

Bayes' Theorem | |

Random Sampling from a Finite Population | |

Probability Distributions | |

Introduction | |

Random Variables | |

Probability Distribution of a Discrete Random Variable | |

Expectation (Mean) and Standard Deviation of a Probability Distribution | |

Success and Failures- Bernoulli Trials | |

The Binomal Distribution | |

The Binomal Distribution in Context | |

The Normal Distribution | |

Probability Model for a Continuous Random Variable | |

The Normal Distribution-Its General Features | |

The Standard Normal Distribution | |

Probability Calculations with Normal Distributions | |

The Normal Approximation to the Binomial | |

Checking the Plausibility of a Normal Model | |

Transforming Observations to Attain Near Normality | |

Variation in Repeated Samples-Sampling Distribution | |

Introduction | |

The Sampling Distribution of a Statistic | |

Distribution of the Sample Mean and the Central Limit Theorem | |

Statistics in Context | |

Drawing Inferences From Large Samples | |

Introduction | |

Point Estimation of Population Mean | |

Confidence Interval for a Population Mean | |

Testing Hypotheses about a Population Mean | |

Inferences about a Population Proportion | |

Small-Sample Inferences for Normal Populations | |

Introduction | |

Student's t Distribution | |

Inferences about µ-Small Sample Size | |

Relationship between Tests and Confidence Intervals | |

Inferences About the Standard Deviation ó (The Chi-Square Distribution) | |

Robustness of Inference Procedures | |

Comparing Two Treatments | |

Introduction | |

Independent Random Samples from Two Populations | |

Large Samples Inference about Difference of Two Means | |

Inferences from Small Samples: Normal Populations with Equal Variances | |

Inferences from Small Samples: Normal Populations but Unequal Variances | |

Randomization and its Role in Inference | |

Matched Pairs Comparisons | |

Choosing Between Independent Samples and a Matched Pairs Sample | |

Comparing Two Population Proportions | |

Regression Analysis I (Simple Linear Regression) | |

Introduction | |

Regression with a Single Predictor | |

A Straight-Line Regression Model | |

The Method of Least Squares | |

The Sampling Variability of the Least Squares Estimators-Tools for Inference | |

Important Inference Problems | |

The Strength of a Linear Relation | |

Remarks About the Straight Line Model Assumption | |

Regression Analysis- II Multiple Linear Regression and Other Topics | |

Introduction | |

Nonlinear Relations and Linearizing Transformations | |

Multiple Linear Regression | |

Residual Plots to Check the Adequacy of a Statistical Model | |

Review Exercises | |

Analysis of Categorical Data | |

Introduction | |

Pearson's x^2 Test for Goodness of Fit | |

Contingency Table with One Margin Fixed (Test of Homogeneity) | |

Contingency Table with Neither Margin Fixed (Test of Independence) | |

Review Exercises | |

Analysis of Variance (ANOVA) | |

Introduction | |

Comparison of Several Treatments- The Completely Randomized Design | |

Population Model and Inferences for a Completely Randomized Design | |

Simultaneous Confidence Intervals | |

Graphical Diagnostics and Displays to Supplement ANOVA | |

Randomized Block Experiments for Comparing k Treatments | |

Review Exercises | |

Nonparametric Inference | |

Introduction | |

The Wilcoxon Rank-Sum Test for Comparing Two Treatments | |

Matched Pair Comparisons | |

Measure of Correlation Based on Ranks | |

Concluding Remarks | |

Using Statistics Wisely | |

Key Ideas and Formulas | |

Technology | |

Review Exercises | |

Summation Notation | |

Rules for Counting | |

Expectation and Standard Deviation-Properties | |

The Expected Value and Standard Deviation of X | |

Tables | |

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