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Statistics, Data, and Statistical Thinking | |
The Science of Statistics | |
Types of Statistical Applications | |
Fundamental Elements of Statistics | |
Types of Data | |
Collecting Data | |
The Role of Statistics in Critical Thinking | |
Methods for Describing Sets of Data | |
Describing Qualitative Data | |
Graphic Methods for Describing Quantitative Data | |
Summation Notation | |
Numerical Measures of Central Tendency | |
Numerical Measures of Variability | |
Interpreting the Standard Deviation | |
Numerical Measures of Relative Standing | |
Quartiles and Box Plots (Optional) | |
Distorting the Truth with Descriptive Techniques | |
Probability | |
Events, Sample Spaces, and Probability | |
Unions and Intersections | |
Complementary Events | |
The Additive Rule and Mutually Exclusive Events | |
Conditional Probability | |
The Multiplicative Rule and Independent Events | |
Probability and Statistics: An Example | |
Random Sampling | |
Random Variables and Probability Distributions | |
Two Types of Random Variables | |
Probability Distributions for Discrete Random Variables | |
The Binomial Distribution | |
Probability Distributions for Continuous Random Variables | |
The Normal Distribution | |
Sampling Distributions | |
Properties of Sampling Distributions: Unbiasedness and Minimum Variance (Optional) | |
The Central Limit Theorem | |
Inferences Based on a Single Sample: Estimation with Confidence Intervals | |
Large-Sample Confidence Interval for a Population Mean | |
Small- Sample Confidence Interval for a Population Mean | |
Large-Sample Confidence Interval for a Population Proportion | |
Determining the Sample Size | |
Inferences Based on a Single Sample: Tests of Hypothesis | |
The Elements of a Test of Hypothesis | |
Large-Sample Test of Hypothesis About a Population Mean | |
Observed Significance Levels: p- Values | |
Small-Sample Test of Hypothesis About a Population Mean | |
Large-Sample Test of Hypothesis About a Population Proportion | |
A Nonparametric Test About a Population Median (Optional) | |
Comparing Population Means | |
Comparing Two Population Means: Independent Sampling | |
Comparing Two Population Means: Paired Difference Experiments | |
Determining the Sample Size | |
A Nonparametric Test for Comparing Two Populations: Independent Sampling (Optional) | |
A Nonparametric Test for Comparing Two Populations: Paired Difference Experiments (Optional) | |
Comparing Three or More Population Means: Analysis of Variance (Optional) | |
Comparing Population Proportions | |
Comparing Two Population Proportions: Independent Sampling | |
Determining the Sample Size | |
Comparing Population Proportions: Multinomial Experiment (Optional) | |
Contingency Table Analysis (Optional) | |
Simple Linear Regression | |
Probabilistic Models | |
Fitting the Model: The Least Squares Approach | |
Model Assumptions | |
An Estimator of âÇ s2 | |
Assessing the Utility of the Model: Making Inferences About the Slope âÇ b1 | |
The Coefficient of Correlation | |
The Coefficient of Determination | |
Using the Model for Estimation and Prediction | |
Simple Linear Regression: An Example | |
A Nonparametric Test for Correlation (Optional) | |
Tables | |
Data Sets | |
Calculation Formulas for Analysis of Variance: Independent Sampling | |
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