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| Introduction to Probability and Counting | |
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| Interpreting Probabilities | |
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| Sample Spaces and Events | |
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| Permutations and Combinations | |
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| Some Probability Laws | |
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| Axioms of Probability | |
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| Conditional Probability | |
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| Independence and the Multiplication Rule | |
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| Bayes' Theorem | |
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| Discrete Distributions | |
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| Random Variables | |
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| Discrete Probablility Densities | |
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| Expectation and Distribution Parameters | |
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| Geometric Distribution and the Moment Generating Function | |
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| Binomial Distribution | |
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| Negative Binomial Distribution | |
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| Hypergeometric Distribution | |
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| Poisson Distribution | |
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| Continuous Distributions | |
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| Continuous Densities | |
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| Expectation and Distribution Parameters | |
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| Gamma Distribution | |
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| Normal Distribution | |
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| Normal Probability Rule and Chebyshev's Inequality | |
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| Normal Approximation to the Binomial Distribution | |
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| Weibull Distribution and Reliability | |
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| Transformation of Variables | |
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| Simulating a Continuous Distribution | |
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| Joint Distributions | |
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| Joint Densities and Independence | |
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| Expectation and Covariance | |
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| Correlation | |
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| Conditional Densities and Regression | |
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| Transformation of Variables | |
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| Descriptive Statistics | |
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| Random Sampling | |
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| Picturing the Distribution | |
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| Sample Statistics | |
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| Boxplots | |
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| Estimation | |
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| Point Estimation | |
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| The Method of Moments and Maximum Likelihood | |
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| Functions of Random Variables--Distribution of X | |
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| Interval Estimation and the Central Limit Theorem | |
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| Inferences on the Mean and Variance of a Distribution | |
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| Interval Estimation of Variability | |
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| Estimating the Mean and the Student-t Distribution | |
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| Hypothesis Testing | |
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| Significance Testing | |
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| Hypothesis and Significance Tests on the Mean | |
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| Hypothesis Tests | |
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| Alternative Nonparametric Methods | |
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| Inferences on Proportions | |
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| Estimating Proportions | |
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| Testing Hypothesis on a Proportion | |
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| Comparing Two Proportions: Estimation | |
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| Coparing Two Proportions: Hypothesis Testing | |
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| Comparing Two Means and Two Variances | |
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| Point Estimation | |
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| Comparing Variances: The F Distribution | |
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| Comparing Means: Variances Equal (Pooled Test) | |
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| Comparing Means: Variances Unequal | |
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| Compairing Means: Paried Data | |
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| Alternative Nonparametric Methods | |
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| A Note on Technology | |
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| Sample Linear Regression and Correlation | |
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| Model and Parameter Estimation | |
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| Properties of Least-Squares Estimators | |
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| Confidence Interval Estimation and Hypothesis Testing | |
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| Repeated Measurements and Lack of Fit | |
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| Residual Analysis | |
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| Correlation | |
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| Multiple Linear Regression Models | |
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| Least-Squares Procedures for Model Fitting | |
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| A Matrix Approach to Least Squares | |
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| Properties of the Least-Squares Estimators | |
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| Interval Estimation | |
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| Testing Hypotheses about Model Parameters | |
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| Use of Indicator or "Dummy" Variables | |
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| Criteria for Variable Selection | |
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| Model Transformation and Concluding Remarks | |
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| Analysis of Variance | |
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| One-Way Classification Fixed-Effects Model | |
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| Comparing Variances | |
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| Pairwise Comparison | |
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| Testing Contrasts | |
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| Randomized Complete Block Design | |
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| Latin Squares | |
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| Random-Effects Models | |
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| Design Models in Matrix Form | |
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| Alternative Nonparametric Methods | |
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| Factorial Experiments | |
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| Two-Factor Analysis of Variance | |
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| Extension to Three Factors | |
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| Random and Mixed Model Factorial Experiments | |
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| 2^k Factorial Experiments | |
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| 2^k Factorial Experiments in an Incomplete Block Design | |
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| Fractional Factorial Experiments | |
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| Categorical Data | |
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| Multinomial Distribution | |
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| Chi-Squared Goodness of Fit Tests | |
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| Testing for Independence | |
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| Comparing Proportions | |
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