Advanced Business Statistics (Theory)

Paper Code: 
ATG 316
Credits: 
3
Contact Hours: 
45.00
Max. Marks: 
100.00
Objective: 

The objective of this course is to provide comprehensive presentation of the essential topics of statistical techniques likes probability, sampling, analysis of time series etc.

COURSE OUTCOMES (COs):

Course

Learning outcome

 (at course level)

Learning and teaching strategies

Assessment Strategies

Paper Code

Paper Title

ATG 316

Advanced Business Statistics

 

CO 1:Able to Interpolate and extrapolate the data

CO 2:Apply discrete and continuous probability distributions to various business problems

CO 3:Perform Test of Hypothesis as well as calculate confidence interval for a population parameter for single sample and two sample cases

CO 4:Perform  Chi-Square test for Independence as well as Goodness of Fit and ANOVA

CO 5:Critically evaluate statistical results

Approach in teaching:

Interactive Lectures, Discussion, Tutorials, assignments.

Learning activities for the students:

Self learning assignments, Effective questions,  Giving tasks,

 

Class test, Semester end examinations, Quiz, Solving problems in tutorials, Assignments,  individual projects

 

                       

 

10.00
Unit I: 
Set Theory:
  • Definition of Set
  • Presentation of Sets
  • Different types of Set- Null Set, Finite and Infinite Sets, Universal Set, Sub Set, Power Set
  • Set Operations
  • Laws of Algebra of sets
  • Venn Diagram.
  • Interpolation & Extrapolation:
  • Newton’s methods of advancing differences
  • Binominal Method & Lagrange’s Method.
14.00
Unit II: 
Concept of Permutation and Combinations
  • Probability:
  • Basic Concept
  • Importance of Concept of Probability
  • Theorem of Probability (Additional Theorem and Multiplication Theorem
  •  Conditional Probability
  • Bayes’ Theorem
  • Mathematical Expectation
  • Probability Distribution:
  • Binomial, Poisson’s and Normal
7.00
Unit III: 
Time Series Analysis:
  •  Introduction
  • Utility of Time Series Analysis,
  • Components of Time Series Analysis
  • Measurement of Trend: Freehand or Graphic Method
  • Method of Semi Averages
  • Methods of Moving Averages
  • Method of Least Square
  • Shifting the Trend Origin
  • Measurement of Seasonal Variations: Method of Simple  Average, Ratio to Trend, Ratio to Moving Average Method, Link Relative Method
6.00
Unit IV: 
Statistical Inference-Test of Hypothesis:
  •  Introduction
  • Procedure of Testing Hypothesis
  • Two types of Errors in Testing Hypothesis
  • Two Tailed and One Tailed Tests of Hypothesis
  • Test of Significance for Large Samples
  • Test of Significance for Attributes
  • Test of Significance for Small Samples (Student’s t Distribution) 
8.00
Unit V: 
Chi Square Test and Goodness of Fit:
  • Introduction
  • Degrees of Freedom
  • The Chi Square Test and Alternative Method of Obtaining of the value of Chi Square,
  • Chi Square Test for Specified value of Population Variance
  • Analysis of Variance
  • Application of F Test
  • Assumption in Analysis of Variance
  • Analysis of Variance in   One-Way and Two-Way Classification Model.
References: 
  • Statistics Theory and Practice-Sancheti and Kapoor( Sultan Chand and Sons New Delhi
  • Statistical Methods- S.P Gupta(Sultan Chand & Sons New Delhi)
  • Advanced Business Statistics- Prof N.P Agarwal , Dr Ankita Chaturvedi ( Ramesh Book Depot)
  • Statistical Methods- N.G. Das(M Das & Co)
  • Business Statistics-Yadav, Jain, Mittal (Malik and Company Jaipur)
  • Statistics- R S N Pillai & V Bhagvathi(S Chand & Co Ltd)
  • Statistics- P.N Arora & S Arora, (S Chand& Co Ltd)

 

 

Academic Year: