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Applied Statistics

Master probability theory, hypothesis testing, regression analysis, and statistical inference methods.

1. Statistical Distributions
Probability distributions, normal, binomial, and Poisson distributions
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2. Sampling Distributions
Central limit theorem, sampling methods, and distribution of sample statistics
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3. Confidence Intervals
Interval estimation, margin of error, and confidence levels
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4. Hypothesis Testing
Null and alternative hypotheses, p-values, and significance testing
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5. Chi-Square Tests
Goodness-of-fit tests, tests of independence, and contingency tables
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6. Linear Regression
Simple and multiple regression, correlation, and prediction models
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7. Analysis of Variance (ANOVA)
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8. Nonparametric Tests
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9. Time Series Analysis
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10. Multivariate Analysis
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11. Bayesian Statistics
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12. Experimental Design
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13. Statistical Software Applications
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14. Advanced Regression Techniques
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