Semester- III Syllabus
Osmania
University
B.Sc.
II Year III Semester (CBCS): Statistics Syllabus
Paper-III:
Statistical Methods (DSC-2C)
(4
HPW with 4 Credits and 100 Marks)
Unit
–I
Bivariate data, scattered
diagram, Principle of least squares, fitting of straight line, quadratic and power curves. Concept of
correlation, computation of Karl-Pearson correlation coefficient for grouped and ungrouped data and
its properties. Correlation ratio, Spearman’s rank correlation coefficient and
its properties. Simple linear regression, correlation verses regression,
properties of regression coefficients.
Unit
–II
Concepts of partial and multiple
correlation coefficients (only for three variables). Analysis of categorical data, independence
and association and partial association of attributes, various measures of association (Yule’s)
for two way data and coefficient of contingency (Pearson and Tcherprow), coefficient of
colligation.
Unit
– III
Concepts of population,
parameter, random sample, statistic, sampling distribution and standard error. Standard error of sample
mean(s) and sample proportion(s). Exact sampling distributions- Statement and properties of 2, t and F
distributions and their interrelationships. Independence of sample mean and variance in
random sampling from normal distributions. Point estimation of a parameter,
concept of bias and mean square error of an estimate. Criteria of good
estimator- consistency, unbiasedness, efficiency and sufficiency with examples.
Unit
– IV
Statement of Neyman’s
Factorization theorem, derivations of sufficient statistics in case of Binomial, Poisson, Normal and
Exponential (one parameter only) distributions. Estimation by method of moments, Maximum
likelihood (ML), statements of asymptotic properties of MLE. Concept of interval estimation.
Confidence intervals of the parameters of normal population by Pivot method.
List of
Reference Books:
1. V.K.Kapoor and S.C.Gupta:
Fundamentals of Mathematical Statistics, Sultan Chand & Sons, New Delhi
2. Goon AM, Gupta MK,Das Gupta B
: Outlines of Statistics , Vol-II, the World Press Pvt.Ltd.,Kolakota.
3. ParimalMukhopadhyay:
Mathematical Statistics. New Central Book agency.
Practical
Paper – III (with 2 HPW, Credits 1 and Marks 25)
1. Generation of random samples
from Uniform (0,1), Uniform (a,b) and exponential Distributions.
2. Generation of random samples
from Normal and Poisson distributions.
3. Simulation of
random samples from Uniform (0,1), Uniform (a,b),Exponential, Normal
and Poisson
distributions using MS Excel.
4. Fitting of straight line and
parabola by the method of least squares.
5. Fitting of
straight line and parabola by the method of least squares using MS Excel.
6. Fitting of power curves of the
type y= a xb, y=a bx and y=a ebx by the method of least squares.
7. Fitting of
power curves of the type y= a xb, y=a bx and y=a ebx by the method of least
squares using MS
Excel.
8. Computation of Yule’s
coefficient of association.
9. Computation of Pearson’s,
Tcherprows coefficient of contingency.
10. Computation of correlation
coefficient and regression lines for ungrouped data.
11. Computation of correlation
coefficient, forming regression lines for ungrouped data.
12. Computation of correlation
coefficient, forming regression lines for grouped data.
13. Computation
of correlation coefficient, forming regression lines using MS Excel.
14. Computation of multiple and
partial correlation coefficients.
15. Computation
of multiple and partial correlation coefficients using MS Excel.
16. Computation of correlation
ratio.
Comments
Post a Comment