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Introduction | |
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Numerical Data and Categorical Data | |
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Nominal, Ordinal, Interval, and Ratio Data | |
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Sample Data and Populations | |
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Biased Data | |
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Statistics, Past and Present | |
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The Study of Statistics | |
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Statistics, What Lies Ahead | |
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Summarizing Data: Listing and Grouping | |
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Dot Diagrams | |
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Stem-and-Leaf Displays | |
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Frequency Distributions | |
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Graphical Presentations | |
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Summarizing Data: Statistical Descriptions | |
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Measures of Location: The Mean | |
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Measures of Location: The Weighted Mean | |
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Measures of Location: The Median and Other Fractiles | |
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Measures of Location: The Mode | |
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Measures of Variation: The Range | |
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Measures of Variation: The Standard Deviation | |
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Some Applications of the Standard Deviation | |
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The Description of Grouped Data | |
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Some Further Descriptions | |
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Technical Note Summations | |
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Review: Chapters 1,2, & 3 | |
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Possibilities and Probabilities | |
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Counting | |
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Permutations | |
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Combinations | |
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Probability | |
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Mathematical Expectation | |
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A Decision Problem | |
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Some Rules of Probability | |
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The Sample Space | |
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Events | |
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Some Basic Rules of Probability | |
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Probabilities and Odds | |
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Addition Rules | |
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Conditional Probability | |
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Independent Events | |
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Multiplication Rules | |
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Bayes' Theorem | |
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Review: Chapters 4 & 5 | |
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Probability Distributions | |
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Probability Distributions | |
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The Binomial Distribution | |
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The Hypergeometric Distribution | |
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The Poisson Distribution | |
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The Multinomial Distribution | |
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The Mean of a Probability Distribution | |
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The Standard Deviation of a Probability Distribution | |
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Chebyshev's Theorem | |
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The Normal Distribution | |
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Continuous Distributions | |
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The Normal Distribution | |
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Some Applications | |
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The Normal Approximation to the Binomial Distribution | |
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Sampling and Sampling Distributions | |
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Random Sampling | |
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Sampling Distributions | |
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The Standard Error of the Mean | |
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The Central Limit Theorem | |
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Review: Chapters 6, 7, & 8 | |
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Problems of Estimation | |
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The Estimation of Means | |
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Confidence Intervals for Means | |
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Confidence Intervals for Means (Small Samples) | |
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Confidence Intervals for Standard Deviations | |
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The Estimation of Proportions | |
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Tests Concerning Means | |
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Tests of Hypotheses | |
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Significance Tests | |
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Tests Concerning Means | |
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Tests Concerning Means (Small Samples) | |
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Differences Between Means | |
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Differences Between Means (Small Samples) | |
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Differences Between Means (Paired Data) | |
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Differences Among k | |
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Means | |
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Analysis of Variance | |
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Tests Based on Count Data | |
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Tests Concerning Proportions | |
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Tests Concerning Proportions (Large Samples) | |
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Differences Between Proportions | |
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Differences Among Proportions | |
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Contingency Tables | |
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Goodness of Fit | |
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Review: Chapters 9, 10, & 11 | |
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Regression and Correlation | |
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Curve Fitting | |
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The Method of Least Squares | |
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Regression Analysis | |
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The Coefficient of Correlation | |
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The Interpretation of r | |
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A Significance Test for r | |
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Nonparametric Tests | |
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The One-Sample Sign Test | |
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The Paired-Sample Sign Test | |
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The Sign Test (Large Samples) | |
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Rank Sums: The U | |
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Test | |
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Rank Sums: The U Test (Large Samples) | |
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Rank Sums: The H | |
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Test | |
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Tests of Randomness: Runs | |
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Tests of Randomness: Runs (Large Samples) | |
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Tests of Randomness: Runs Above and Below the Median | |
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Rank Correlation | |
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Review: Chapters 12 & 13 | |
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TI-83 Tips | |
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Bibliography | |
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Statistical Tables | |
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Answers to Odd-Numbered Exercises | |
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Index | |