APPLIED STATISTICS (THEORY)

Paper Code: 
HHD222
Credits: 
3
Contact Hours: 
3.00
Max. Marks: 
100.00
Objective: 

This course will enable the students to:

  • To understand the role of statistics and computer applications in research.
  • To apply statistical techniques to research data for analyzing and interpreting data carefully.

 

9.00
Unit I: 
Unit I
  1. Introduction of Statistics.  Classifications and Tabulation of data. Frequency Distribution. Diagrammatic(one- dimensional and two- dimensional) and Graphical presentation of data( Histogram, Frequency Polygon, Frequency curve and ogives)
  2. Measure of Central Tendency- Mean, Median and Mode, their properties, merits and demerits.
  3. Measure of Dispersion- Range, Quartile Deviation, Mean Deviation and standard deviation.

 

9.00
Unit II: 
Unit II
  1. Concept of Probability. Properties of Normal Probability Curve and its applications.
  2. Correlation Analysis- Definition and concept, types and measures of studying correlation (Karl Pearson’s coefficient of correlation, its assumptions, properties, merits and demerits, Spearman’s Rank correlation coefficient)
  3. Regression Analysis- Definition, concept, uses and properties. Least Square Methods, Regression Coefficients, Fitting of Regression lines.

 

9.00
Unit III: 
Unit III
  1. Sampling Distribution and Standard Error.
  2. Elements of Testing a Statistical Hypothesis- Formulation of the problem, Types of errors
  3. Level of significance, Large sample tests for proportions, Single mean and difference in two means.

 

9.00
Unit IV: 
Unit IV
  1. Small sample tests- Application of  t- test for testing the significance of single mean & difference in two means ( independent and paired-t).
  2. Chi-square test for  testing normal population variance.
  3. Test for goodness of fit, independence of attributes using 2x2 and rxc contingency tables).

 

 

9.00
Unit V: 
Unit V

a)Definations of F test, application of F test for testing of equality of two variances.                                                                        

  b)Analysis of Variance- Concept , assumptions, basic idea of one way and two way classification with simple questions.

 

Essential Readings: 
  1. Gupta, S.P.: Statistical Methods, Sultan Chand and Company, New Delhi.
  2. Elhane,D.N.: Fundamentals of Statistics, Kitab Mahal,Allahbad.

 

References: 
  1. Simpson and Kafka: Basic Statistics, Oxford and IBH Publishers.
  2. Goon, Gupta and Das: Fundamentals of Statistics Vol. I and II.
  3. Snedecor and Cochran: Statistical Methods, Oxford and IBH Publishers.
  4. Shukla,M.C. and Gulshan S.S.: Statistics Theory and Practice, Sultan Chand and Company, New Delhi.
  5. Gupta, S.C. and Kapoor V.K.: Fundamental of Mathematical Statistics, Sultan Chand and Company, New Delhi

 

Academic Year: 
2015-2016
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