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Introduction to Statistics | |
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Overview | |
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The Nature of Data | |
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Uses and Abuses of Statistics | |
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Design of Experiments | |
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Describing, Exploring, and Comparing Data | |
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Overview | |
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Summarizing Data with Frequency Tables | |
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Pictures of Data | |
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Measures of Center | |
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Measures of Variation | |
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Measures of Position | |
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Exploratory Data Analysis (EDA) | |
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Probability | |
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Overview | |
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Fundamentals | |
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Addition Rule | |
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Multiplication Rule: Basics | |
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Multiplication Rule: Complements and Conditional Probability | |
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Probabilities Through Simulations | |
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Counting | |
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Probability Distributions | |
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Overview | |
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Random Variables | |
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Binomial Probability Distributions | |
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Mean, Variance, and Standard Deviation for the Binomial Distribution | |
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The Poisson Distribution | |
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Normal Probability Distributions | |
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Overview | |
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The Standard Normal Distribution | |
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Nonstandard Normal Distributions: Finding Probabilities | |
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Nonstandard Normal Distributions: Finding Values | |
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The Central Limit Theorem | |
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Normal Distribution as Approximation to Binomial Distribution | |
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Determining Normality | |
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Estimates and Sample Sizes | |
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Overview | |
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Estimating a Population Mean: Large Samples | |
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Estimating a Population Mean: Small Samples | |
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Determining Sample Size | |
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Estimating a Population Proportion | |
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Estimating a Population Variance | |
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Hypothesis Testing | |
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Overview | |
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Fundamentals of Hypothesis Testing | |
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Testing a Claim about a Mean: Large Samples | |
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Testing a Claim about a Mean: Small Samples | |
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Testing a Claim about a Proportion | |
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Testing a Claim about a Standard Deviation or Variance | |
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Inferences from Two Samples | |
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Overview | |
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Inferences about Two Means: Independent and Large Samples | |
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Inferences about Two Means: Matched Pairs | |