Applied Statistics

Paper Code: 
STT 402
Credits: 
3
Contact Hours: 
45.00
Max. Marks: 
100.00
Objective: 

This paper is focused on the study of vital statistics, index numbers, demand analysis and time series. Vital Statistic deals with laws of human mortality, morbidity and fertility. Role of index number is in formulation of executive decisions. In time series analysis, we will study about different components and various methods useful in the analyzing them.

 

Students will be able to:

Course

Learning outcomes (at course level

Learning and teaching strategies

Assessment Strategies

 

Paper Code

Paper Title

STT-402

Applied Statistics

CO 49: Identify appropriate sources of data, perform basic demographic analyses using various techniques and ensure their comparability across populations.

 

CO 50: Utilizing information based on the population, including censuses, vital statistics and surveys, and would be able to access and use such data.

 

CO 51: Students will have an idea of income distributions and able to fit them in real life situations.

 

CO 52: Interpret and use a range of index numbers commonly used and also to Evaluate other indices used in the business sector.

 

CO 53: Apply time series methods for forecasting values of a time series at future time points and also apply them on real world models.

Approach in teaching:

Interactive Lectures,

Group Discussion,

Classroom Assignment

Problem Solving Sessions

 

Learning activities for the students:

Assignments

Seminar

Presentation

Subject based  Activities

 

Classroom Quiz

Assignments

Class Test

Individual Presentation

 

10.00
Unit I: 
Vital Statistics - I

Meaning, definition and utility. Sources of demographic data- census, registration. Indices of mortality. Measurement of mortality, crude death rate and standardization death rates. Indices of fertility, Measurement of fertility – crude birth rate, general fertility rate. Age- specific fertility rate, total fertility rate. Gross and Net Reproduction Rates.

8.00
Unit II: 
Vital Statistics - II

 Stationary and stable population, concept and determination of the rate of increase in a stable population.

Life table: Construction of complete life table from graduated rates of mortality and evaluation of probabilities of survival and death from a life table.

8.00
Unit III: 
Demand Analysis

Demand and supply, law of demand and supply. Elasticity of demand: Price, Income and Cross elasticity. Engel’s curve and Engel’s law, Pareto’s law of income distribution

10.00
Unit IV: 
Index Number – I

Meaning and uses of index numbers, problem in the construction of index numbers, price relatives, quantity and value relatives. Fixed base and chain base index numbers, use of averages. Weighted and unweighted index numbers- Laspeyers, Paasche’s, Marshall-Edgeworth and Fisher’s ideal index numbers, Dorbish, Kelly’s fixed base index numbers. Test for index numbers. Base shifting, splicing and deflating. Consumer Price Index numbers, Construction of cost of living index and Whole-sale price index.

 

9.00
Unit V: 
Time Series Analysis

 Definition and its different components, additive and multiplicative models. Different methods of determining trend and seasonal fluctuations, their merits and demerits

Essential Readings: 
  • Goon, A.M., Gupta, M.K. and Dasgupta, B. (1991): Fundamentals of Statistics,   Volume II, The World Press Pvt Ltd, Calcutta
  • Gupta, S.C. and Kapoor, V.K.(2000): Fundamentals of Applied Statistics, S Chand & Company, New Delhi

 

References: 

SUGGESTED READINGS:

 

  • Croxton, F.E. and Cowden, D.J. (1969): Applied General Statistics, Prentice Hall Of India
  • Srivastava, O.S.(1998): A Textbook of Demography, Vikas Publishing.
  • Gupta, O.P.:Mathematical Statistics, Kedarnath Publication, Meerut
  • Shrinivasan, K. and Srinivasan, K.(1998): Basic Demographic Techniques and Applications.

 

e-RESOURCES:

 

 

JOURNALS:

 

  • Sankhya The Indian Journal of Statistics, Indian Statistical Institute
  • Aligarh Journal of Statistics, Department of Statistics and Operations Research, Aligarh Muslim University
  • Afrika Statistika, Saint-Louis Senega University
  • International Journal of Statistics and Reliability Engineering, Indian Association for Reliability and Statistic
  • Journal of the Indian Society for Probability and Statistics, Indian Society for Probability and Statistics
  • Journal of the Indian Statistical Association, Indian Statistical Association
  • Statistica, Department of Statistical Sciences Paolo Fortunato, University of Bologna
  • Statistics and Applications, Society of Statistics, Computer and Applications
  • Stochastic Modeling and Applications, MUK Publications and Distributions

 

Academic Year: 
2022-2023
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