Applied Statictics

Paper Code: 
HCT 222
Credits: 
3
Objective: 
  1. To understand the role of statistics and computer applications in research.
  2. To apply statistical techniques to research data for analyzing and interpreting data carefully.

 

10.00
Unit I: 
Introduction To Statistics
  • Statistics- Meaning, Importance, Limitations, Classifications and Tabulation of data, discrete and continuous variables. Frequency Distributions and Cumulative frequency distribution, Diagrammatic(one- dimensional and two- dimensional) and Graphical presentation of data( Histogram, Frequency Polygon, Frequency curve and ogives)
  • Measure of Central Tendency- Mean, Median and Mode, their properties, merits and demerits.
  • Measure of Dispersion- Range, Quartile Deviation, Mean Deviation and standard deviation, coefficient of variation. Moments, Skew ness and Kurtosis (their absolute and relative measures)
     
8.00
Unit II: 
Probability Distributions, Correlation & Regression Analysis
  • The formal and empirical concept of Probability. Idea of  Binomial distribution, Poisson
  • Distribution. Properties of Normal Probability Curve and its applications.
  • 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)
  • Regression Analysis- Definition, concept, uses and properties. Least Square Methods, Regression Coefficients, Fitting of Regression lines.
     
9.00
Unit III: 
  • Sampling Distribution and Standard Error. Element of Testing a Statistical Hypothesis- Formulation of the problem, Types of errors. Level of significance, large sample test for proportions, single mean and difference in two means
10.00
Unit IV: 
  • Small sample test- Application of Student’s t- test for small sample for single mean,  difference in two means (independent and paired-t). Chi-square test for testing normal population variance.  
  • Test for goodness of fit independence of attributes using 2x2 and rxc contingency tables.
     
8.00
Unit V: 
  • Definition of F-test, application of F-test for testing of equality of two variances.
  • Analysis of Variance-Concept, assumptions, Basic ideas of one-way and two-way classification with simple questions.
Essential Readings: 
  1. Shukla, M.C. and Gulshan S.S., Statistics Theory and Practice, Sultan Chand and Company, New Delhi.
  2. Gupta, S.P., Statistical Methods, Sultan Chand and Company, New Delhi.
  3. Gupta, S.C. and Kapoor, V.K., Fundamental of Mathematical Statistics, Sultan Chand and Company, New Delhi
     
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.

 

Academic Year: 
2018-2019
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