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The Nature of Probability and Statistics | |
Introduction | |
Descriptive and Inferential Statistics | |
Variables and Types of Data | |
Data Collection and Sampling Techniques | |
Observational and Experimental Studies | |
Uses and Misuses of Statistics | |
Computers and Calculators | |
Summary | |
Frequency Distributions and Graphs | |
Introduction | |
Organizing Data | |
Histograms, Frequency Polygons, and Ogives | |
Other Types of Graphs | |
Summary | |
Data Description | |
Introduction | |
Measures of Central Tendency | |
Measures of Variation | |
Measures of Position | |
Exploratory Data Analysis | |
Summary | |
Probability and Counting Rules | |
Introduction | |
Sample Spaces and Probability | |
The Addition Rules for Probability | |
The Multiplication Rules and Conditional Probability | |
Counting Rules | |
Probability and Counting Rules | |
Summary | |
Discrete Probability Distributions | |
Introduction | |
Probability Distributions | |
Mean, Variance, and Expectation | |
The Binomial Distribution | |
Other Types of Distributions (Optional) | |
Summary | |
The Normal Distribution | |
Introduction | |
Properties of the Normal Distribution | |
The Standard Normal Distribution | |
Applications of the Normal Distribution | |
The Central Limit Theorem | |
The Normal Approximation to the Binomial Distribution | |
Summary | |
Confidence Intervals and Sample Size | |
Introduction | |
Confidence Intervals for the Mean (s Known or n³30) | |
Confidence Intervals for the Mean (s Unknown or n<30) | |
Confidence Intervals and Sample Size for Proportions | |
Confidence Intervals for Variances and Standard Deviations | |
Summary | |
Hypothesis Testing | |
Introduction | |
Steps in Hypothesis Testing - Traditional Method | |
z Test for a Mean | |
t Test for a Mean | |
z Test for a Proportion | |
chi^2 test for a Variance or Standard Deviation | |
Additional Topics Regarding Hypothesis Testing | |
Summary | |
Testing the Difference Between Two Means, Two Variances, and Two Proportions | |
Introduction | |
Testing the Difference Between Two Means: Large Samples | |
Testing the Difference Between Two Variances | |
Testing the Difference Between Two Means: Small Independent Samples | |
Testing the Difference Between Two Means: Small Dependent Samples | |
Testing the Difference Between Proportions | |
Summary | |
Correlation and Regression | |
Introduction | |
Scatter Plots | |
Correlation | |
Regression | |
Coefficient of Determination and Standard Error of the Estimate | |
Multiple Regression (Optional) | |
Summary | |
Other Chi-Square Tests | |
Introduction | |
Test for Goodness of Fit | |
Tests Using Contingency Tables | |
Summary | |
Analysis of Variance | |
Introduction | |
One-Way Analysis of Variance | |
The Scheffé Test and the Tukey Test | |
Two-Way Analysis of Variance | |
Summary | |
Nonparametric Statistics | |
Introduction | |
Advantages and Disadvantages of Nonparametric Methods | |
The Sign Test | |
The Wilcoxon Rank Sum Test | |
The Wilcoxon Signed-Rank Test | |
The Kruskal-Wallis Test | |
The Spearman Rank Correlation Coefficient and the Runs Test | |
Summary | |
Sampling and Simulation | |
Introduction | |
Common Sampling Techniques | |
Surveys and Questionnaire Design | |
Simulation Techniques | |
The Monte Carlo Method | |
Summary | |
Algebra Review | |
Writing the Research Report | |
Bayes's Theorem | |
Alternate Method for the Standard Normal Distribution | |
Tables | |
Data Bank | |
Glossary | |
Bibliography | |
Photo Credits | |
Selected Answers | |
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