Quantitative Techniques
Subject Overview
Quantitative Techniques equips MBA students with the statistical and operations-research toolkit used throughout the program — central tendency, dispersion, correlation and regression, probability distributions, linear programming and game theory, and transportation, assignment and project scheduling (PERT/CPM) problems. A 4-credit core theory paper.
Unit-wise Syllabus
4 units — click WhatsApp below to get the full notes for each
Unit 1: Descriptive statistics
Meaning, features, functions and limitations of statistics, measures of central tendency (arithmetic/geometric/harmonic mean, mode, median, quartiles/deciles/percentiles), measures of variation (range, quartile deviation, mean deviation, standard deviation), moments, skewness and kurtosis
Unit 2: Correlation, regression and probability
Simple/multiple/partial and linear/non-linear correlation, Pearson's correlation coefficient, rank correlation, simple regression via least squares, approaches to probability, addition and multiplication laws, conditional probability and Bayes' theorem
Unit 3: Probability distributions, LP and game theory
Binomial, Poisson and Normal distributions, formulation of linear programming problems, graphic and Simplex (including Big-M) solution methods, degeneracy, duality, post-optimality analysis, two-person zero-sum games, pure and mixed strategies, dominance rule
Unit 4: Transportation, assignment and project scheduling
Transportation problem — North-West Corner, Least Cost and Vogel's Approximation methods, optimality testing via MODI method; assignment problem via the Hungarian method; PERT/CPM project networks, scheduling with known activity times, critical path