UsefulLinks
Statistics
Statistics with R
1. Introduction to R and Statistical Computing
2. R Fundamentals and Basic Operations
3. R Package System
4. R Data Structures
5. Data Import and Export
6. Data Cleaning and Preprocessing
7. Data Manipulation with dplyr
8. Descriptive Statistics
9. Data Visualization Fundamentals
10. Advanced Data Visualization with ggplot2
11. Probability Theory
12. Probability Distributions
13. Sampling and Sampling Distributions
14. Statistical Inference Foundations
15. Hypothesis Testing Framework
16. One-Sample Tests
17. Two-Sample Tests
18. Chi-squared Tests
19. Analysis of Variance (ANOVA)
20. Correlation Analysis
21. Simple Linear Regression
22. Regression Diagnostics
23. Multiple Linear Regression
24. Generalized Linear Models
25. Nonparametric Statistics
26. Introduction to Time Series Analysis
27. Introduction to Machine Learning
28. Reproducible Research
29. Statistical Computing Best Practices
12.
Probability Distributions
12.1.
Discrete Distributions
12.1.1.
Bernoulli Distribution
12.1.2.
Binomial Distribution
12.1.2.1.
Properties and Parameters
12.1.2.2.
Mean and Variance
12.1.3.
Poisson Distribution
12.1.3.1.
Properties and Parameters
12.1.3.2.
Mean and Variance
12.1.4.
Geometric Distribution
12.1.5.
Negative Binomial Distribution
12.1.6.
Hypergeometric Distribution
12.2.
Continuous Distributions
12.2.1.
Uniform Distribution
12.2.1.1.
Properties and Parameters
12.2.1.2.
Mean and Variance
12.2.2.
Normal Distribution
12.2.2.1.
Properties and Parameters
12.2.2.2.
Standard Normal Distribution
12.2.2.3.
Empirical Rule
12.2.3.
Exponential Distribution
12.2.4.
Gamma Distribution
12.2.5.
Beta Distribution
12.2.6.
Chi-squared Distribution
12.2.7.
t-Distribution
12.2.8.
F-Distribution
12.3.
Working with Distributions in R
12.3.1.
Distribution Function Naming
12.3.2.
Density Functions
12.3.3.
Cumulative Distribution Functions
12.3.4.
Quantile Functions
12.3.5.
Random Number Generation
12.3.6.
Visualizing Distributions
12.3.7.
Distribution Fitting
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13. Sampling and Sampling Distributions