STAT 101: Principles of Statistics

Build statistics skills with probability, distributions, confidence intervals, hypothesis testing, ANOVA, and regression. This self-paced course offers transferable college credit and practical business applications.

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Course curriculum

1. Principles of Statistics Syllabus
2. Course Overview and Learning Outcomes
1. Introduction
2. VIDEO: Introduction to Statistical Studies
3. VIDEO: Importance of Statistics
4. Ch 1.1 Introduction to Statistical Studies and Experimental Design
5. Quiz 1.1
6. Ch 1.2: Understanding Data Types and Sampling Methods in Statistics
7. Quiz 1.2
8. Ch 1.3: Understanding Data Organization and Measurement in Statistics
9. Quiz 1.3
10. Ch 1.4: Experimental Design, Blinding, and Ethics in Statistical Studies
11. Quiz 1.4
12. Summary
1. Introduction
2. VIDEO: Stemplots
3. VIDEO: Line graph
4. VIDEO: Bar graph
5. VIDEO: Frequency polygons
6. VIDEO: Histogram
7. VIDEO: Percentile
8. VIDEO: Box plots
9. VIDEO: What is Central Tendency
10. VIDEO: Measures of Central Tendency
11. VIDEO: Median and Mean
12. VIDEO: Geometric Mean
13. VIDEO: Distributions
14. Ch 2.1: Exploratory Data Analysis Using Stemplots, Line Graphs, and Bar Graphs
15. Quiz 2.1
16. Ch 2.2: Constructing Time Series Graphs, Frequency Polygons, Histograms, and Statistical Integrity
17. Quiz 2.2
18. Ch 2.3: Percentile and Quartile Calculations: Formula, Examples, and Interpretations
19. Quiz 2.3
20. Ch 2.4: Understanding and Constructing Box Plots: A Comprehensive Guide
21. Quiz 2.4
22. Ch 2.5: Measures of Central Tendency, Law of Large Numbers, and Sampling Distributions
23. Quiz 2.5
24. Ch 2.6: Understanding Population and Sample Mean with Practical Example
25. Quiz 2.6
26. Ch 2.7: Understanding Measures of Central Tendency and the Geometric Mean
27. Quiz 2.7
28. Ch 2.8: Analyzing Data Distributions and Measures of Central Tendency
29. Quiz 2.8
30. Ch 2.9: Understanding and Calculating Standard Deviation for Grouped Frequency Tables and Comparisons Across Data Sets
31. Quiz 2.9
32. Summary
1. Introduction
2. VIDEO: Introduction to Probability
3. VIDEO: Basic concepts of Probability
4. Ch 3.1: Understanding Probability: Key Concepts, Calculations, and Examples
5. Quiz 3.1
6. Ch 3.2: Understanding Independent, Mutually Exclusive Events, and Conditional Probability with Examples
7. Quiz 3.2
8. Ch 3.3: Probability Rules, Examples, and Solutions
9. Quiz 3.3
10. Ch 3.4: Tree Diagrams and Conditional Probability Calculations
11. Quiz 3.4
12. Ch 3.5: Understanding Venn Diagrams and Probability with Practical Examples
13. Quiz 3.5
14. Summary
1. Introduction
2. VIDEO: Hypergeometric Distribution
3. VIDEO: Binomial Distribution
4. VIDEO: Poisson Distribution
5. Ch 4.1: Discrete Probability Distribution and Probability Distribution Tables
6. Quiz 4.1
7. Ch 4.2: Hypergeometric Probability Distribution and Applications
8. Quiz 4.2
9. Ch 4.3: Understanding the Binomial Distribution and Its Applications in Probability Theory
10. Quiz 4.3
11. Ch 4.4: Geometric Distribution and Its Applications in Probability
12. Quiz 4.4
13. Ch 4.5: Poisson Distribution and Its Applications in Probability Theory
14. Quiz 4.5
15. Ch 4.6: Expected Value, Standard Deviation, and the Law of Large Numbers
16. Quiz 4.6
17. Summary
1. Introduction
2. Ch 5.1: Continuous Probability Density Functions and Calculations
3. Quiz 5.1
4. Ch 5.2: Continuous Probability Distributions and Their Applications
5. Quiz 5.2
6. Ch 5.3: Uniform Distribution and Probability
7. Quiz 5.3
8. Ch 5.4: Exponential Probability Density Function, Memorylessness, and Relationship Between Exponential and Poisson Distributions
9. Quiz 5.4
10. Summary
1. Introduction
2. VIDEO: Introduction to Normal Distribution
3. VIDEO: Area of Normal Distribution
4. VIDEO: Standard Normal Distribution
5. VIDEO: Normal Approximation to the Binomial
6. Ch 6.1: Standard Normal Distribution: Z-Scores, Empirical Rule, and Examples
7. Quiz 6.1
8. Ch 6.2: Calculating Probabilities in Normal Distributions
9. Quiz 6.2
10. Ch 6.3: Using Normal Distribution to Estimate Binomial Probabilities
11. Quiz 6.3
12. Summary
1. Introduction
2. Ch 7.1: Central Limit Theorem and Sampling Distribution Applications
3. Quiz 7.1
4. Ch 7.2: Central Limit Theorem for Sums and Applications in Probability
5. Quiz 7.2
6. Ch 7.3: Central Limit Theorem and Law of Large Numbers: Examples and Applications
7. Quiz 7.3
8. Ch 7.4: Central Limit Theorem and the Sampling Distribution of Sample Proportions
9. Quiz 7.4
10. Ch 7.5: Finite Population Correction Factor and Its Applications in Sampling Distribution
11. Quiz 7.5
12. Summary
1. Introduction
2. VIDEO: Confidence Interval Introduction
3. VIDEO: Confidence Interval for Mean
4. VIDEO: T-Distribution
5. VIDEO: Confidence Interval for a Proportion
6. Ch 8.1: Confidence Intervals: Changing Confidence Levels, Sample Size, and Working Backwards
7. Quiz 8.1
8. Ch 8.2: Student's t-Distribution and Confidence Intervals
9. Quiz 8.2
10. Ch 8.3: Confidence Intervals for Proportions and the "Plus Four" Method
11. Quiz 8.3
12. Ch 8.4: Continuous and Binary Random Variables
13. Quiz 8.4
14. Summary
1. Introduction
2. VIDEO: Introduction to Hypothesis Testing
3. VIDEO: Significance Testing
4. VIDEO: Type I and II Errors
5. VIDEO: One and Two Tailed tests
6. VIDEO: Steps in Hypothesis Testing
7. Ch 9.1: Hypothesis Testing: Null and Alternative Hypotheses with Examples
8. Quiz 9.1
9. Ch 9.2: Hypothesis Testing: Type I and Type II Errors
10. Quiz 9.2
11. Ch 9.3: Decision Rule for Hypothesis Testing and Sample Mean Distribution
12. Quiz 9.3
13. Ch 9.4: Hypothesis Testing: Understanding Rare Events, p-Values, and Decision Making
14. Quiz 9.4
15. Ch 9.5: Full Hypothesis Testing for Proportions and Means Test Examples
16. Quiz 9.5
17. Summary
1. Introduction
2. Ch 10.1: Comparison of Two Independent Population Means Using Aspin-Welch t-test
3. Quiz 10.1
4. Ch 10.2: Cohen's Standards for Small, Medium, and Large Effect Sizes
5. Quiz 10.2
6. Ch 10.3: Proportion Hypothesis Testing and Comparison of Two Population Proportions
7. Quiz 10.3
8. Ch 10.4: Paired Sample Hypothesis Testing in Business and Quality Control
9. Quiz 10.4
10. Ch 10.5: Hypothesis Testing for Two Population Means with Pooled Variance
11. Summary
1. Introduction
2. VIDEO: Chi Square Distribution
3. VIDEO: Computing Chi Square
4. VIDEO: Contingency Tables
5. Ch 11.1: Chi-Square Distribution and Its Properties
6. Quiz 11.1
7. Ch 11.2: Chi-Square Goodness-of-Fit Test Examples and Solutions
8. Quiz 11.2
9. Ch 11.3: Tests of Independence and Contingency Tables
10. Quiz 11.3
11. Ch 11.4: Goodness-of-Fit Test and Test for Homogeneity
12. Quiz 11.4
13. Ch 11.5: Comparison of Chi-Square Tests: Goodness-of-Fit, Independence, and Homogeneity
14. Quiz 11.5
15. Ch 11.6: Hypothesis Testing for Population Variance
16. Quiz 11.6
17. Summary
1. Introduction
2. VIDEO: Introduction to Linear Regression
3. VIDEO: Partitioning Sums of Squares
4. Ch 12.1: Linear Regression and Applications
5. Quiz 12.1
6. Ch 12.2: Linear Regression, Scatter Plots, and Understanding Relationships between Variables
7. Quiz 12.2
8. Ch 12.3: Understanding Regression Analysis
9. Quiz 12.3
10. Ch 12.4: Understanding Correlation, Hypothesis Testing, and Regression Analysis
11. Quiz 12.4
12. Ch 12.5: Least Squares Regression and Prediction in Exam Scores
13. Quiz 12.5
14. Ch 12.6: Identifying and Handling Outliers in Regression Analysis
15. Quiz 12.6
16. Summary
1. Introduction
2. VIDEO: Introduction to ANOVA
3. VIDEO: ANOVA Design
4. VIDEO: One-Factor ANOVA
5. VIDEO: Multi-Factor Between Subjects
6. Ch 13.1: One-Way ANOVA Test: Assumptions, Hypotheses, and Calculation
7. Quiz 13.1
8. Ch 13.2: One-Way ANOVA and F-Distribution: Hypothesis Testing and Variance Analysis
9. Quiz 13.2
10. Ch 13.3: F Distribution and ANOVA Analysis Examples
11. Quiz 13.3
12. Ch 13.4: F Test for Equality of Two Variances
13. Quiz 13.4
14. Summary
1. Introduction
2. Ch 14.1: The Mann-Whitney U Test
3. Quiz 14.1
4. Ch 14.2: Wilcoxon Signed Ranks Test for Matched Pairs Analysis
5. Quiz 14.2
6. Ch 14.3: Spearman's Rank Correlation: Understanding and Application in Real-World Scenarios
7. Quiz 14.3
8. Summary
1. Assignment
2. Rubric for Assignment
1. Final Exam: Instructions (Important)
2. FINAL EXAM

About this course

Free
212 lessons
4 hours of video content

Discover your potential, starting today

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STAT 101: Principles of Statistics

Course curriculum

Principles of Statistics

CHAPTER 1: Introduction to Statistical Studies and Experimental Design

CHAPTER 2: Comprehensive Guide to Exploratory Data Analysis, Graphs, Measures of Central Tendency, and Data Distributions

CHAPTER 3: Mastering Probability - Concepts, Calculations, and Practical Applications

CHAPTER 4: Advanced Probability Distributions and Their Applications

CHAPTER 5: Continuous Probability Distributions and Their Applications

CHAPTER 6: Understanding the Normal Distribution: Z-Scores, Probabilities, and Estimating Binomial Outcomes

CHAPTER 7: Comprehensive Applications of the Central Limit Theorem and Sampling Distribution Concepts

CHAPTER 8: Confidence Intervals, Distributions, and Sample Size Calculations

CHAPTER 9: Comprehensive Overview of Hypothesis Testing Concepts and Applications

CHAPTER 10: Advanced Hypothesis Testing for Two Population Comparisons

CHAPTER 11: Chi-Square Distribution and Hypothesis Testing

CHAPTER 12: Linear Regression and Its Applications: Equations, Scatter Plots, Correlation, and Outliers

CHAPTER 13: Analysis of Variance (ANOVA) and F-Distribution - Concepts, Hypothesis Testing, and Variance Analysis

CHAPTER 14: Non-Parametric Statistical Tests and Their Applications

Assignment

Final Exam

About this course

Discover your potential, starting today