AS2 : Mathematical Foundations II
(4
Hours – 5 Credits)
UNIT I ( without proof)
Introduction to Statistics –
Primary and Secondary data – Classification, tabulation and diagrammatic representation of
statistical data - Bar-charts, Pie-diagrams - Graphical Representation of
data –Histograms, Frequency polygon, Ogives
UNIT II (without proof)
Measures of dispersion – characteristics –
coefficient of dispersion – coefficient of variation – moments - Skewness and
Kurtosis – Pearson’s coefficient of
Skewness – Bowley’s coefficient of Skewness – coefficient of Skewness based upon moments.
UNIT III (without proof)
Simple correlation – Karl Pearson’s
coefficient. of correlation – correlation coefficient for a
bivariate frequency distribution – Rank correlation – Regression – lines of regression
– properties of regression coefficient
UNIT IV (without proof)
Events and sets – sample space –
concept of probability – addition and multiplication theorem on probability –
conditional probability and independence of events – Baye’s Theorem- Concept of
random variable – Mathematical expectation
UNIT V (without proof)
Concept of sampling distributions
– standard error – Tests of significance based on t, chi-square and F distributions with respect to
mean, variance .
Text Book:
Statistical Methods, S. P. Gupta,
Sultan Chand and Sons, 2004.
UNIT I :
Chapter 1, 2. 2, 2. 2. 1, 2. 2. 2, 2. 2. 3
Chapters 4 and 5
UNIT II : Chapters 7 and 8
UNIT III : Chapter 9, 9. 1, 9. 2,
9. 3
Chapter 10, 10. 1, 10. 2, 10. 2. 1, 10. 2. 2, 10. 2. 3, 10. 3
UNIT IV: Chapter 16
UNIT V
: Chapter 18. 3, 18. 4, 18. 7. 1, 18. 7. 2, 19
Reference Book: Statistics, Dr. S. Arumugam & A. Thangapandi Issac, New Gamma Publishing House, 2002
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