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Section 01: Let's get started | |||
Welcome! | |||
What will you learn in this course? | |||
How can you get the most out of it? | |||
Section 02: Descriptive statistics | |||
Intro | |||
Mean | |||
Median | |||
Mode | |||
Mean or Median? | |||
Skewness | |||
Practice: Skewness | |||
Solution: Skewness | |||
Range & IQR | |||
Sample vs. Population | |||
Variance & Standard deviation | |||
Impact of Scaling & Shifting | |||
Statistical moments | |||
Section 03: Distributions | |||
What is a distribution? | |||
Normal distribution | |||
Z-Scores | |||
Practice: Normal distribution | |||
Solution: Normal distribution | |||
Section 04: Probability theory | |||
Intro | |||
Probability Basics | |||
Calculating simple Probabilities | |||
Practice: Simple Probabilities | |||
Quick solution: Simple Probabilities | |||
Detailed solution: Simple Probabilities | |||
Rule of addition | |||
Practice: Rule of addition | |||
Quick solution: Rule of addition | |||
Detailed solution: Rule of addition | |||
Rule of multiplication | |||
Practice: Rule of multiplication | |||
Solution: Rule of multiplication | |||
Bayes Theorem | |||
Bayes Theorem – Practical example | |||
Expected value | |||
Practice: Expected value | |||
Solution: Expected value | |||
Law of Large Numbers | |||
Central Limit Theorem – Theory | |||
Central Limit Theorem – Intuition | |||
Central Limit Theorem – Challenge | |||
Central Limit Theorem – Exercise | |||
Central Limit Theorem – Solution | |||
Binomial distribution | |||
Poisson distribution | |||
Real life problems | |||
Section 05: Hypothesis testing | |||
Intro | |||
What is a hypothesis? | |||
Significance level and p-value | |||
Type I and Type II errors | |||
Confidence intervals and margin of error | |||
Excursion: Calculating sample size & power | |||
Performing the hypothesis test | |||
Practice: Hypothesis test | |||
Solution: Hypothesis test | |||
T-test and t-distribution | |||
Proportion testing | |||
Important p-z pairs | |||
Section 06: Regressions | |||
Intro | |||
Linear Regression | |||
Correlation coefficient | |||
Practice: Correlation | |||
Solution: Correlation | |||
Practice: Linear Regression | |||
Solution: Linear Regression | |||
Residual, MSE & MAE | |||
Practice: MSE & MAE | |||
Solution: MSE & MAE | |||
Coefficient of determination | |||
Root Mean Square Error | |||
Practice: RMSE | |||
Solution: RMSE | |||
Section 07: Advanced regression & machine learning algorithms | |||
Multiple Linear Regression | |||
Overfitting | |||
Polynomial Regression | |||
Logistic Regression | |||
Decision Trees | |||
Regression Trees | |||
Random Forests | |||
Dealing with missing data | |||
Section 08: ANOVA (Analysis of Variance) | |||
ANOVA – Basics & Assumptions | |||
One-way ANOVA | |||
F-Distribution | |||
Two-way ANOVA – Sum of Squares | |||
Two-way ANOVA – F-ratio & conclusions | |||
Section 09: Wrap up | |||
Wrap up |