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Defining The Problem | |
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Statistics and the Scientific Method | |
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Introduction | |
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Why Study Statistics? Some Current Applications of Statistics | |
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A Note to the Student | |
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Staying Focused | |
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Collecting Data | |
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Collecting Data Using Surveys and Scientific Studies | |
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Introduction | |
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Surveys | |
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Sampling Designs for Surveys | |
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Scientific Studies | |
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Experimental Designs for Scientific Studies | |
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Observational Studies | |
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Data Management: Preparing Data for Summarization and Analysis (Optional) | |
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Staying Focused | |
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Summarizing Data | |
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Summarizing Data | |
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Introduction | |
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Calculators, Computers, and Software Systems | |
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Summarizing Data on a Single Variable: Graphical Methods | |
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Summarizing Data on a Single Variable: Measures of Central Tendency | |
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Summarizing Data on a Single Variable: Measures of Variability | |
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The Boxplot | |
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Summarizing Data from More than One Variable | |
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Encounters with Real Data | |
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Staying Focused | |
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Probability and Probability Distributions | |
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How Probability Can Be Used in Making Inferences | |
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Finding the Probability of an Event | |
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Basic Event Relations and Probability Laws | |
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Conditional Probability and Independence | |
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Bayes+ Formula | |
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Variables: Discrete and Continuous | |
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Probability Distributions for Discrete Random Variables | |
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A Useful Discrete Random Variable: The Binomial | |
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Probability Distributions for Continuous Random Variables | |
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A Useful Continuous Random Variable: The Normal Distribution | |
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Random Sampling | |
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Sampling Distributions | |
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Normal Approximation to the Binomial | |
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MINITAB Instructions (Optional) | |
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Staying Focused | |
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Analyzing Data, Interpreting The Analyses, And Communicating The Results | |
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Inferences About Population Central Values | |
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Introduction | |
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Estimation of 8 | |
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Choosing the Sample Size for Estimating 8 | |
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A Statistical Test for 8 | |
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Choosing the Sample Size for Testing 8 | |
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The Level of Significance of a Statistical Test | |
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Inferences about 8 for Normal Population, = Unknown | |
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Inferences about Median | |
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Encounters with Real Data | |
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Staying Focused | |
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Inferences Comparing Two Population Central Values | |
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Introduction | |
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Inferences about 81+82: Independent Samples | |
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A Nonparametric Alternative: The Wilcoxon Rank Sum Test | |
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Inferences about 81+82: Paired Data | |
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A Nonparametric Alternative: The Wilcoxon Signed-Rank Test | |
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Choosing Sample Sizes for Inferences about 81+82 | |
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Encounters with Real Data | |
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Staying Focused | |
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Inferences About Population Variances | |
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Introduction | |
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Estimation and Tests for a Population Variance | |
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Estimation and Tests for Comparing Two Population Variances | |
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Tests for Comparing t >2 Population Variances | |
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Encounters with Real Data | |
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Staying Focused | |
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The Completely Randomized Design | |
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Introduction | |
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The Model for Observations in a Completely Randomized Design | |
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Analyzing Data from a Completely Randomized Design: An Analysis of Variances | |
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Checking on the AOV Conditions | |
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A Nonparametric Alternative: The Kruskal+Wallis Test | |
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Multiple Comparisons | |
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Encounters with Real Data | |
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Staying Focused | |
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More Complicated Experimental Designs | |
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Introduction | |
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Randomized Complete Block Design | |
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Latin Square Design | |
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Factorial Treatment Structure in a Completely Randomized Design | |
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Factorial Treatment Structure in a Randomized Complete Block Design | |
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Estimation of Treatment Differences and Comparisons of Treatment Means | |
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Encounters with Real Data | |
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Staying Focused | |
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Categorical Data | |
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Introduction | |
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Inferences About a Population Proportion =.Inferences About the Difference Between Two Population Proportions =1+ =2 | |
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Inferences About Several Proportions: Chi-Square Goodness-of-Fit Test | |
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Contingency Tables: Tests for Independence and Homogeneity | |
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Odds and Odds Ratios | |
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Encounters with Real Data | |
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Staying Focused | |
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Linear Regression and Correlation | |
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Introduction | |
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Estimating Model Parameters | |
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Inferences about Regression Parameters | |
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Predicting New y Values Using Regression | |
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Examining Lack of Fit in Linear Regression | |
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The Inverse Regression Problem (Calibration) | |
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Correlation | |
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Encounters with Real Data | |
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Staying Focused | |
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Multiple Regression | |
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Introduction | |
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Est | |