Math 227:
Elementary Statistics
Lecture Videos

to accompany Understandable Statistics, 7th ed, by Brase, Brase


Chapter 1: Getting Started
1.1: What is Statistics?
1.1.1, 1.1.2, 1.1.3
1.2: Random Samples
1.2.1, 1.2.2
1.3: Introduction to Experimental Design
1.3.1, 1.3.2, 1.3.3

Chapter 2: Organizing Data
2.1: Bar Graphs, Circle Graphs, and Time-Series Graphs
2.1.1
2.2: Frequency Distributions, Histograms, and Relatied Topics
2.2.1, 2.2.2, 2.2.3, 2.2.4
2.3: Stem-and-Leaf Displays
2.3.1, 2.3.2

Chapter 3: Averages and Variation
3.1: Measures of Central Tendency: Mode, Median, and Mean
3.1.1
3.2: Measures of Variation
3.2.1, 3.2.2, 3.2.3
3.3: Mean and Standard Deviation of Grouped Data
3.3.1, 3.3.2
3.4: Percentiles and Box-and-Whisker Plots
3.4.1

Chapter 4: Elementary Probability Theory
4.1: What is Probability?
4.1.1
4.2: Some Probability Rules - Compound Events
4.2.1, 4.2.2, 4.2.3
4.3: Trees and Counting Techniques
4.3.1

Chapter 5: The Binomial Probability Distribution and Related Topics
5.1: Introduction to Random Variables and Probability Distributions
5.1.1, 5.1.2
5.2: Binomial Probabilities
5.2.1, 5.2.2
5.3: Addition Properties of Binomial Distributions
5.3.1, 5.3.2, 5.3.3
5.4: The Geometric and Poisson Probability Distributions
5.4.1, 5.4.2, 5.4.3

Chapter 6: Normal Distributions
6.1: Graphs of Normal Probability Distributions
6.1.1, 6.1.2
6.2: Standard Units and Areas under the Standard Normal Distribution
6.2.1, 6.2.2, 6.2.3
6.3: Areas under Any Normal Curve
6.3.1
6.4: Normal Approximation to Binomial Distribution
6.4.1

Chapter 7: Introduction to Sampling Distributions
7.1: Sampling Distribution
7.1.1
7.2: The Central Limit Theorem
7.2.1, 7.2.2
7.3: Sampling Distribution for Proportions
7.3.1, 7.3.2

Chapter 8: Estimation
8.1: Estimating mu when sigma is Known
8.1.1, 8.1.2, 8.1.3
8.2: Estimating mu when sigma is Unknown
8.2.1, 8.2.2
8.3: Estimating p in the Binomial Distribution
8.3.1
8.4: Choosing the Sample Size
8.4.1
8.5: Estimating mu1 - mu2 and p1 - p2
8.5.1, 8.5.2, 8.5.3

Chapter 9: Hypothesis Testing
9.1: Introduction to Statistical Tests
9.1.1, 9.1.2, 9.1.3, 9.1.4
9.2: Testing the Mean mu
9.2.1, 9.2.2
9.3: Testing a Proportion p
9.3.1
9.4: Tests involving Paired Differences (Dependent Samples)
9.4.1
9.5: Testing mu1 - mu2 and p1 - p2 (Independent Samples)
9.5.1, 9.5.2, 9.5.3

Chapter 10: Correlation and Regression
10.1: Scattered Diagrams and Linear Correlation
10.1.1
10.2: Linear Regressions and the Coefficient of Determination
10.2.1, 10.2.2, 10.2.3, 10.2.4, 10.2.5
10.3: Inferences for Correlation and Regression
10.3.1, 10.3.2, 10.3.3, 10.3.4, 10.3.5
10.4: Multiple Regression
10.4.1, 10.4.2

Chapter 11: Chi-Square and F Distributions
11.1: Chi-Square: Tests of Independence
11.1.1, 11.1.2, 11.1.3, 11.1.4
11.2: Chi-Square: Goodness of Fit
11.2.1, 11.2.2
11.3: Testing and Estimating a Single Variance or Standard Deviation
11.3.1, 11.3.2, 11.3.3
11.4: Testing Two Variances
no video available
11.5: One-Way ANOVA: Comparing Several Sample Means
no video available
11.6: Introduction to Two-Way ANOVA
11.6.1

Chapter 12: Non-parametric Statistics
12.1: The Sign Test for Matched-Pairs
12.1.1
12.2: The Rank-Sum Test
12.2.1
12.3: Spearman Rank Correlation
12.3.1
12.4: Runs Test for Randomness
no video available