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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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