Business Statistics

Syllabus

BBA 201-18: BUSINESS STATISTICS

Unit-I

Introduction to Statistics: Meaning, Definition in Singular and Plural Sense, Features of Statistics, Importance, Functions, Scope and Limitations of Statistics.

Matrix Algebra: Types of Matrices; Basic Operations of Matrices; Determinant of a Matrix and its Properties; Rank and Inverse of a Matrix; Solution of Simultaneous Linear Equations – Cramer’s Rule and Matrix Inversion, Method, Application of Matrices.

Introduction and Methods of Presentation of Statistical Information, Collection and Presentation of Data. Frequency distribution. Concept of sampling and sampling Designs.

Measures of Central Tendency: Mathematical Averages Including Arithmetic Mean, Geometric Mean and Harmonic Mean, Properties and Applications.

Positional Averages: Mode and Median and Other Partition Values Including Quartiles, Deciles and Percentile. Graphic Presentation of Measures of Central Tendency.

Unit-II

Measures of Variation: Absolute and Relative Measures. Range, Quartile Deviation, Mean Deviation, Standard Deviation and Their Coefficients. Properties of Standard Deviation and Variance.

Simple Correlation Analysis: Meaning of Correlation: Simple, Multiple and Partial, Linear and Non Linear Correlation, Correlation and Causation, Scatter Diagram, Pearson’s Correlation Coefficient, Calculation and Properties of Coefficient, Rark Correlation.

Simple Regression Analysis: Meaning of Regression, Principle of Least Square and Regression Analysis, Calculation of Regression Coefficient, Properties of Regression Coefficient, Relationship between Correlation and Regression Coefficienting.

Unit-III

Index Numbers: Meaning and Importance, Methods of Construction of Index Numbers:  Weighted and un weighted; Simple Aggregative Method, Simple Average of Price Relative Method, Weighted Index Method: Laspeyres Method, Pasches Method and Fishers Ideal Method Including Time and Factor Reversal Tests, Consumer Price Index.

Time Series Analysis: Components, Estimation of Trends (Graphical method, Semi Average Method, Moving Averages Method and Method of Least Squares for linear path).

Theory of Probability: Meaning of Probility, Approaches to the Calculation of probabability. Calculation of event Probabbilities, Addition and Multiplication Laws of Probabbility (Proof not required), Conditional Probability and Bayes’ Theorem (Proof not required).

Unit-IV

Sampling Concepts: Meaning of Population and Sample, Parameters and Statistics, Descriptive and Inferential Statistics, Sampling Methods Including Simple Random Sample, Stratified Sampling, Systemetic Sampling, Judgement Sampling and Convenience Sampling

Sampling Distribution: Concept of Sampling Distribution, Formulation of Sampling Distribution of Mean and Sampling Distribution of Statndard Deviation/Variance.

Theory of Estimation: Point and Interval Estimation of Means and Proportins.