Quantiative Techniques & Operation Research

                                                                                                                                                        Syllabus

Unit-1

Definition of Statistics, Characteristics, Functions, Importance, Limitations and Types of Statistics, Uses of Statistics in Functional Areas of Management, Introduction to Sampling.

Frequency Distribution- Discrete and Continuous Frequency Distribution; Diagrammatic and Graphic Representation -Line, Bar, Rectangle and Pie Diagram, Graphs-Histograms, Frequency Polygon, Cumulative Frequency Curves or Ogives-Advantages and Limitations of Diagrams and Graph, Tabulation- Types of tables.

Unit-2

Measures of Central Tendency and Dispersion

Average-Concept, Types, Mathematical Averages-Arithmetic, Geometric, and Harmonic Mean, Position and Locational Averages, Median, Mode. Measures of Dispersion: Range, Quartile Deviation- Mean and Standard Deviation, Variance- Coefficient of Variance-Comparison of Various Measures of Dispersion, Skewness- Relative Measures of Skewness- Karl Pearson, Bowley, Kelly-Coefficient of Skewness, Kurtosis.

Unit-3

Correlation and Regression

Correlation-Scatter Diagram, Karl Pearson’s Coefficient of Correlation, Spearman’s Coefficient of Rank Correlation; Concurrent Deviation; Regression-Method of Least Squares, Method of Regression Coefficient, Properties of Regression Coefficient, Partial and Multiple Correlation and Regression Coefficient.

Unit-4

Time Series and Forecasting

Time Series- Introduction, Objectives of Time Series, Identification of Trend, Variation in Time Series Secular Variation, Cyclical Variation, Seasonal Variation, and Irregular Variation, Methods of Estimating Trend ,Choosing Appropriate Forecasting Model.

Unit-5

Probability and Probability Distribution

Classical and Axiomatic Approaches, Basic Theorems-Addition, Multiplication- Conditional and Bayes Theorem, Random variables and concept of Probability Distribution. Theoretical Probability Distributions: Binomial, Poisson, and Normal, Expontial Distribution and its problems.