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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
Introduction to Time Series Analysis
Time Series Concepts
Time Series Data
Temporal Dependence
Stationarity
Trend and Seasonality
Time Series Objects in R
ts Objects
zoo Objects
xts Objects
Date and Time Handling
Time Series Visualization
Time Plots
Seasonal Plots
Lag Plots
ACF and PACF Plots
Time Series Decomposition
Trend Component
Seasonal Component
Irregular Component
Additive vs Multiplicative
Basic Forecasting
Naive Methods
Moving Averages
Exponential Smoothing
ARIMA Models
Model Evaluation
Forecast Accuracy Measures
Cross-validation for Time Series
Residual Analysis
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27. Introduction to Machine Learning