Taught by Dr. Matthew DeMarinis
Year 1
Univariate Data
1.1 Types of data
1.2 Mean and Median
1.3 Standard Deviation and Variance
1.4 Range, IQR and Finding Outliers
1.5 Graphs and Describing Distributions
Probability
2.1 Counting Techniques, Combinations and Permutations
2.2 Sets and Venn Diagrams
2.3 Basic Probability Models
2.4 General Probability Rules
Discrete Distributions
3.1 Random Variables
3.2 Binomial Distributions
3.3 Geometric Distributions
Continuous Distributions
4.1 Density Curves
4.2 The Normal Distribution
4.3 Standard Normal Calculations
4.4 Sampling Distribution of x and pˆ
Bivariate Data
5.1 Scatter Plots
5.2 Correlation
5.3 The Least Squares Regression Line
5.4 Residuals
5.5 Non-Linear Models
5.6 Relations in Categorical Data
Samples and Experiments
6.1 Sampling
6.2 Designing Experiments
6.3 Simulating Experiments
Year 2
Estimation
7.1 Margins of Error and Estimates
7.2 Confidence Interval for a Proportion
7.3 Confidence Interval for the Difference of Two Proportions
7.4 Confidence Interval for a Mean
7.5 Confidence Interval for the Difference of Two Means
Tests of Significance
8.1 Inference for the Mean of a Population
8.2 Sample Proportions
8.3 Inference for a Population Proportion
8.4 Comparing Two Means
8.5 Comparing Two Proportions
8.6 Goodness of Fit Test
8.7 Two-way Tables
Inference for Regression
9.1 Confidence Intervals
9.2 Test for Slope of Regression Lines