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Advance Statistics (For Machine Learning & Data Science)

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This pdf Cover Topic 1.Introduction to Statistics 2. Use of Statistics in Data Science 3.Experimental Design 4. Statistical Techniques for Forecasting 5. Interpolation/ Extrapolation 6. Introduction to Probability 7.Conditional Probability 8. Prior and Posterior Probability 9. Random numbe...

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  • July 16, 2024
  • 8
  • 2023/2024
  • Class notes
  • Prof. siz e azam
  • All classes
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International Islamic University , Islamabad




Advance Statistics (CS-509)
Topics
1.Introduction to Statistics
2. Use of Statistics in Data Science
3.Experimental Design
4. Statistical Techniques for Forecasting
5. Interpolation/ Extrapolation
6. Introduction to Probability
7.Conditional Probability
8. Prior and Posterior Probability
9. Random number generation (RNG)
10.Techniques for RNG
11. Correlation analysis
12.Chi Square Dependency tests
13. Diversity Index
14.Data Distributions Multivariate Distributions
15. Error estimation
16. Confidence Intervals
17.Linear transformations
18.Gradient Descent and Coordinate Descent

, 19. Likelihood inference
20. Revision of linear regression and likelihood inference
21. Fitting algorithms for nonlinear models and related diagnostics
22.Generalized linear model
23. exponential families
24. variance and link functions
25. Proportion and binary responses
26.logistic regression
27. Count data and Poisson responses
28. log-linear models
29. Over-dispersion and quasi-likelihood
30. estimating functions
31.Mixed models
32. random effects
33. generalized additive models and penalized regression
34.Introduction to SPSS
35. Probability/ Correlation analysis/ Dependency tests/ Regression in
SPSS.

Introduction to Statistics

Detail: Statistics is the study of collecting, analyzing, interpreting, presenting, and
organizing data. It is used to make decisions based on data analysis. Key concepts
include descriptive statistics (mean, median, mode, variance, standard deviation) and
inferential statistics (confidence intervals, hypothesis testing).

Exercise Questions:

Calculate the mean, median, and mode of the following dataset: [5, 7, 8, 9, 5, 6,
8, 7, 9, 5].

Determine the standard deviation and variance for the dataset above.

Explain the difference between descriptive and inferential statistics.

Use of Statistics in Data Science

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