Page 43 of 241 2 Measures of central tendencies (Mean, Median, Mode, HM, GM) 4 3 Measures of dispersion, Relative Measures and Absolute Measures 2 4 Range, Quartile deviation, Mean deviation, standard deviation, Variance 2 II STATISTICAL INFERENCE AND REGRESSION ANALYSIS 10 15 5 Principles of Least Squares and Fitting of Stright Line 3 6 Point estimation: maximum likelihood estimation (MLE), method of moments. Confidence intervals for population parameters. 2 7 Pearson’s Coefficient of Correlation and Rank Correlation 2 8 Simple linear regression and multiple linear regression. Logistic regression for classification problems.
3 III PROBABILITY THEORY 12 20 9 Random experiment, Sample point, Sample Space 1 10 Events, Operation of events (Union, Intersection, Complement of Events) 2 11 Exclusive and exhaustive events, equally likely events with examples 1 12 Classical approach to probability, Axiomatic definitions of probability, Simple problems 2 13 Theorems of probability - Addition Theorem, Multiplication Theorem 2 14 Conditional probability 2 15 Inverse probability 1 16 Baye's Theorem 1 IV ADVANCED PROBABILITY DISTRIBUTION 16 20 17 Discrete and continuous random variables and probability distribution 3 18 Binomial distribution:
Definition, Expectation, Variance, Moment Generating Function and Problems 2 19 Poisson distribution: Definition, Expectation, Variance, Moment Generating Function and Problems 2 20 Normal distribution: Definition, Expectation, Variance, Moment Generating Function, Standard normal curve and Problems 3 21 Testing of Hypothesis: General principles of testing, Two types of errors 3 22 Type of Testing: T-Test, ANOVA-Test, Chi-square test (Concept Only) 3 Open Ended module- Application Level 12 1 Discuss topics from the following: • Reliability and Validity of Different Data Sources. • Highlighting the use of Measures Mean, Median and Mode in Real-World Scenarios. 10