Statistics Basics
- Probability Density Function: Definition and Examples
- Probability Density Functions in R (Examples)
- Difference between Sample and Population
- Data Type and Data Summary
- Difference between Descriptive Statistics and Inferential Statistics
Error, Residual, and Deviation
- Difference between Mean Squared Residuals (MSR) and Mean Square Error (MSE)
- The Relationship between Mean Squared Error (MSE) and Residual Sum of Squares (RSS)
- Difference between MSD and MSE
- Calculate Sum of Squared Residuals (SSR) in R (R, Python)
- Use sklearn to Calculate SSR in Python
- Calculate Mean Squared Residuals (MSR) in R (R, Python)
- Calculate Mean Squared Error (MSE) (R, Python)
- How to Calculate Mean Squared Deviation in R
- Sum of Squares: Formulas and Examples
- Difference between Population Variance and Sample Variance
Statistics for Analytics
- What is the difference between independent and paired sample t-test
- One sample t-test: Definition, Formula, and Examples
- What is correlation? Definition and Formula
- When to use t-test versus correlation in data analysis
- What is Linear Regression Model? Definition and Example
- How to Solve Linear Regression Using Linear Algebra (4 Steps)
- Logistic Regression: Definition and Example
- How to Interpret Interaction Effect in Multiple Linear Regression
- Understanding Interaction Effects in Data Analysis
- One Variable Chi-square: Definition, examples, and formula
Advanced Statistics
Hypothesis
- How to write null and alternative hypotheses
- How to Write Null and Alternative Hypothesis for Two-Way ANOVA
Descriptive Statistics
- Quartile: Definition and Example
- Sample Variance Formula and Calculation by Hand
- Population Variance Formula and Calculation by Hand
Inferential Statistics
- Two-Way ANOVA: Formulas and Calculation by Hand
- Two sample t-test: Definition, formula, and Examples
- OLS vs. MLE in Linear Regression
- Maximum Likelihood Estimation (MLE) in Linear Regression
- Calculate Sample Size for Chi-square Test
Linear Algebra
- Orthonormal Vectors: Definitions and Examples
- Vector and Arrow in Space
- Linear Subspace
- Difference between Space and Subspace
- Orthogonal Projection
- Mean as a Projection
- Linear Regression and Orthogonal Projection