Statistics

Course Description: This course is an introduction to descriptive statistics, probability and its applications, statistical inference and hypothesis testing, predictive statistics and linear regression.

Textbook: Wallace, T. (2023). "Exploring Introductory Statistics" 4th Ed.

Full YouTube Playlist

Chapter 1: Introduction to Statistics

• 1.1 - Vocabulary of Statistics

  • Vocabulary of Statistics

  • Types of Data

  • Sampling Techniques

• 1.2 - Frequency Tables

  • Frequency Table

  • Frequency Table on Excel

• 1.3 - Histograms and Box Plots

  • Histograms

  • 5 Number Summary

  • Box Plots

• 1.4  - Polygons and Ogives

  • Polygon Graphs

  • Ogive Graphs

  • Polygons and Ogives on Excel

Chapter 2: Descriptive Statistics

• 2.1 - Measures of Center

  • Mean

  • Weighted Mean

  • Median and Mode

• 2.2 - Measures of Spread

  • Range and IQR

  • Variance and Standard Deviation

  • Variance and Standard Deviation on Excel

• 2.3 - Z-Scores

  • Z Scores

  • Find a Value Given a Z Score

  • Outliers

• 2.4  - The Empirical Rule

  • The Empirical Rule

  • Finding Range for Given Percent

  • Finding the Range for a Given Percent

Chapter 3: Introduction to Probability

• 3.1 - Probability and Formulas

  • Probability

  • OR Probabilities 

  • AND Probabilities

  • Conditional Probabilities

• 3.2 - Contingency tables

  • Contingency tables

• 3.3 - Discrete Probability Distributions

  • Discrete Probability Distributions

  • Expected Value/Mean of Discrete Probability Distribution

  • Standard Deviation of a Discrete Probability Distribution

• 3.4  - Binomial Distribution

  • Binomial Distribution

  • Binomial Probabilities on Excel

Chapter 4: Continuous Probability Distributions

• 4.1 - The Uniform Distribution

  • Uniform Distribution

  • Finding Percentiles on the Uniform Distribution

  • Mean and Standard Deviation of Uniform Distribution

• 4.2 - The Standard Normal Distribution

  • The Standard Normal Curve

  • Finding Z Scores on Excel

• 4.3 - Normal Distribution

  • Normal Distribution

  • Normal Distribution Command in Excel

  • Inverse Normal Command on Excel

• 4.4 - Central Limit Theorem

  • Central Limit Theorem

  • Central Limit Theorem for Means

  • Central Limit Theorem for Proportions

Chapter 5: Inferences with Proportions

• 5.1 - Introduction to Inferential Statistics

  • Introduction to Confidence Intervals

  • Introduction to Hypothesis Testing

• 5.2 - Confidence Interval for Proportions

  • Finding the Critical Value for a Confidence Interval

  • Making a Confidence Interval for a Proportion

• 5.3 - Hypothesis Test for One Proportion

  • Left Tail One Proportion Hypothesis Test

  • Right Tail One Proportion Hypothesis Test

  • Two Tail Hypothesis Test for One Proportion

• 5.4 - Hypothesis Test for Two Proportions

  • Hypothesis Test for if Two Proportions are Equal

  • Hypothesis Test to Show One Proportion is Greater than Another

Chapter 6: Inferences with Means

• 6.1 - Confidence Interval for Means

  • Student's T-Distribution

  • Confidence Interval for a Mean

  • Confidence Interval for a Mean using Raw Data

• 6.2 - Hypothesis Testing for a Single Mean

  • Formulas and Excel for Hypothesis Test on a Mean

  • Hypothesis Test for a Single Mean

• 6.3 - Hypothesis Test for Matched Pairs

  • Identify a Matched Pairs Hypothesis Test

  • Hypothesis Test for Matched Pairs

• 6.4 - Hypothesis Test for Two Means

  • Formulas for a Hypothesis Test with Two Means

  • Hypothesis Test for Two Means

Chapter 7: Correlation and Regression

• 7.1 - Correlation

  • Interpreting the Correlation Coefficient

  • Calculating the Correlation Coefficient

• 7.2 - The Regression Equation

  • Scatterplots

  • Regression Equation

  • Estimating Values with the Regression Line

• 7.3 - Confidence Interval for Slope of Regression Line

  • Formulas for Finding Confidence Interval of Slope of Regression Equation

  • Calculate a Confidence Interval for the Slope of the Regression Line

• 7.4 - Hypothesis Test For Regression

  • Hypothesis Test for Correlation Relationship

  • Hypothesis Test for Positive or Negative Correlation 

Chapter 8: Other Hypothesis Tests

• 8.1 - Hypothesis Test for Variance

  • Chi Squared Distribution

  • Hypothesis Test for Standard Deviation

• 8.2  - Hypothesis Test for Goodness-of-fit

  • Finding Expected Values

  • Hypothesis Test for Goodness of Fit

• 8.3 - Hypothesis Test for Independence

  • Expected Value from a Contingency Table

  • Hypothesis Test for Independence

• 8.4 - Hypothesis Test for Several Means

  • Install Data Analysis Add on for Excel

  • F Distribution

  • ANOVA Hypothesis Test for Several Means

• Reviews

  • Review Descriptive Statistics

  • Review Probability

  • Review Confidence Intervals

  • Review Hypothesis Tests