Statistics
Lecture titles (total time nearly 20 hours):
1.1 - What is Statistics
1.2 - Random Samples
1.3 - Introduction to Experimental Design
2.1 - Bar Graphs, Circle Graphs, and Time-Series Graphs
2.2 - Frequency Distributions, Histograms, and Related Topics
2.3 - Stem-and-Leaf Displays
3.1 - Measures of Central Tendency - Mode, Median, and Mean
3.2 - Measures of Variation
3.3 - Mean and Standard Deviation of Grouped Data
3.4 - Percentiles and Box-and-Whisker Plots
4.1 - What is Probability
4.2 - Some Probability Rules - Compound Events
4.3 - Trees and Counting Techniques
5.1 - Introduction to Random Variables and Probability Distributions
5.2 - Binomial Probabilities
5.3 - Additional Properties of Binomial Distribution
5.4 - The Geometric and Poisson Probability Distributions
6.1 - Graphs of Normal Probability Distributions
6.2 - Standard Units and Areas Under the Standard Normal Distribution
6.3 - Areas Under Any Normal Curve
6.4 - Normal Approximation to the Binomial Distribution
7.1 - Sampling Distributions
7.2 - The Central Limit Theorem
7.3 - Sampling Distributions for Proportions
8.1 - Estimating u when o is Known
8.2 - Estimating u when o is Unknown
8.3 - Estimating p in the Binomial Distribution
8.4 - Choosing the Sample Size
8.5 - Estimating u1-u2 and p1-p2
9.1 - Introduction to Statistical Tests
9.2 - Testing the Mean m
9.3 - Testing a Proportion p
9.4 - Tests Involving Paired Differences (Dependent Samples)
9.5 - Testing m1-m2 and p1-p2 (Independent Samples)
10.1 - Scatter Diagrams and Linear Correlation
10.2 - Linear Regression and the Coefficient of Determination
10.3 - Inferences for Correlation and Regression
10.4 - Multiple Regression
11.1 - Chi-Square - Tests of Independence
11.2 - Chi Square - Goodness of Fit
11.3 - Testing and Eliminating a Single Variance or Standard Deviation
11.4 - Testing Two Variances
11.5 - One-Way ANOVA - Comparing Several Sample Means
11.6 - Introduction to Two-Way ANOVA
12.1 - The Sign Test for Matched Pairs
12.2 - The Rank-Sum Test
12.3 - Spearman Rank Correlation
12.4 - Runs Test for Randomness
1.1 - What is Statistics
1.2 - Random Samples
1.3 - Introduction to Experimental Design
2.1 - Bar Graphs, Circle Graphs, and Time-Series Graphs
2.2 - Frequency Distributions, Histograms, and Related Topics
2.3 - Stem-and-Leaf Displays
3.1 - Measures of Central Tendency - Mode, Median, and Mean
3.2 - Measures of Variation
3.3 - Mean and Standard Deviation of Grouped Data
3.4 - Percentiles and Box-and-Whisker Plots
4.1 - What is Probability
4.2 - Some Probability Rules - Compound Events
4.3 - Trees and Counting Techniques
5.1 - Introduction to Random Variables and Probability Distributions
5.2 - Binomial Probabilities
5.3 - Additional Properties of Binomial Distribution
5.4 - The Geometric and Poisson Probability Distributions
6.1 - Graphs of Normal Probability Distributions
6.2 - Standard Units and Areas Under the Standard Normal Distribution
6.3 - Areas Under Any Normal Curve
6.4 - Normal Approximation to the Binomial Distribution
7.1 - Sampling Distributions
7.2 - The Central Limit Theorem
7.3 - Sampling Distributions for Proportions
8.1 - Estimating u when o is Known
8.2 - Estimating u when o is Unknown
8.3 - Estimating p in the Binomial Distribution
8.4 - Choosing the Sample Size
8.5 - Estimating u1-u2 and p1-p2
9.1 - Introduction to Statistical Tests
9.2 - Testing the Mean m
9.3 - Testing a Proportion p
9.4 - Tests Involving Paired Differences (Dependent Samples)
9.5 - Testing m1-m2 and p1-p2 (Independent Samples)
10.1 - Scatter Diagrams and Linear Correlation
10.2 - Linear Regression and the Coefficient of Determination
10.3 - Inferences for Correlation and Regression
10.4 - Multiple Regression
11.1 - Chi-Square - Tests of Independence
11.2 - Chi Square - Goodness of Fit
11.3 - Testing and Eliminating a Single Variance or Standard Deviation
11.4 - Testing Two Variances
11.5 - One-Way ANOVA - Comparing Several Sample Means
11.6 - Introduction to Two-Way ANOVA
12.1 - The Sign Test for Matched Pairs
12.2 - The Rank-Sum Test
12.3 - Spearman Rank Correlation
12.4 - Runs Test for Randomness
