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SYLLABUS FOR UG SCIENCE UNDER CBCS
SKILL ENHANCEMENT COURSE (SEC – II)
STATISTICS
FOURTH SEMESTER DEGREE EXAMINATION
Full Marks – 50 (40+10)
Credit -2
Time – 2 Hours
Unit –I
10 marks
Measures of Central tendency .Arithmetic mean, Median, Mode and other partition
values: Quartiles, Deciles and Percentiles with graphic representation.
Unit –II
10 marks
Measures of Dispersion: Range, Q.D, M.D. and Standard deviation. Moments. Skewness
& Kurtosis and their measures including those based on quartiles and moments.
Unit –III
10 marks
Biivariate data: Scatter diagram. Product moment Correlation coefficient and its
properties, Coefficient of rank correlation.
Unit –IV
10 marks
Principle of least squares. Concept of regression, Fitting of l regression lines, regression
coefficients and their properties
Internal Assessment
10 marks
Books Recommended:
Gupta, S. C. & Kapoor, V. K.- Fundamentals of Mathematical Statistics (Sultan Chand &
Sons, New Delhi.)
Books for Reference
1.Gupta, S. C- Fundamentals of Statistics (Himalaya Publishing House. )
SYLLABUS FOR UG ARTS UNDER CBCS 2016-17
GENERIC ELECTIVE SUBJECT (GE – 1) (Minor – 1)
STATISTICS
SECOND SEMESTER DEGREE EXAMINATION
PAPER- 1
Full Marks – 100 {80 + 20}
Credit -6
Time – 3 Hours
Unit –I
16 marks
Definition of probability{Classical & axiomatic approach}. Properties of probability
based on axiomatic approach. Laws of addition & Multiplication of probability.
Conditional probability. Independence of events. Baye’s theorem.
Unit –II
16 marks
Random Variables. Idea of probability mass function & probability density function.
Expectation of a random variable & its properties. Addition theorem & Multiplication
theorem of Expectation. Variance and Co-variance. Properties of Normal distribution
(without derivation).
Unit –III
16 marks
Univariate data: Measures of Central tendency. Measures of dispersion and relative
dispersion. Moments. Skewness & Kurtosis and their measures including those based on
quartiles and moments.
Unit –IV
16 marks
Biivariate data: Scatter diagram. Product moment Correlation coefficient and its
properties. Principle of least squares. Fitting of linear regression, regression coefficients
and their properties. Rank correlation.
Unit –V
16 marks
Test of Significance: Null &Alternative hypotheses. Type-I & Type-II errors. Tests of
significance based on Normal,and chi-square statistics.
Internal assessment
20 marks
Books Recommended:
Gupta.S.C. & Kapoor.V.K.- Fundamentals of Mathematical Statistics (Sultan Chand &
Sons, New Delhi.)
Books for Reference:
1.Bhat, B. R., Sri Venkatramana, T., & Rao, Madhava K. S. - Statistics: A Beginner’s
Text-Vol.-I (New Age International (P) Ltd.)
2.Goon, A. M., Gupta, M. K. & Das Gupta, B. Das. - Fundamentals of Statistics-Vol.-1
(World Press, Calcutta.)
GENERIC ELECTIVE SUBJECT (GE -3) (Minor – 1)
FOURTH SEMESTER DEGREE EXAMINATION
STATISTICS
PAPER – II
Full Marks – 100 {80 + 20}
Credit - 6
Time – 3 Hours
Unit –I
16 marks
Analysis of variance for One-way classification & Two-way classification (one
observation per cell for fixed effect model.). Fundamental principles of Design of
Experiment.
Unit –II
16 marks
Basic Designs: Completely Randomized Design, Randomized Block Design
(Mathematical model, Null hypotheses, Statistical analysis with ANOVA table, Merits
and Limitations).
Unit –III
16 marks
Concepts of Population and Sample, Need for sampling. Census and Sample survey.
Sampling & Non-sampling errors. Steps in large scale sample survey. Methods of
drawing random samples (use of Random Number Tables).
Unit –IV
16 marks
Basic Sampling Methods: Simple random sampling with replacement and without
replacement. Stratified random sampling with allocation of sample sizes (Estimation of
mean, total & standard error of estimate).
Unit –V
16 marks
Vital Statistics: Definition, methods of obtaining vital statistics and uses. Rates and
Ratios of vital events, Measurement of mortality (CDR, SDR, STDR.). Life table.
Measurement of fertility: (CBR, Age SFR, GFR, TFR). Measurement of population
growth: G.R.R., N.R.R.
Internal Assessment
20 marks
Books Recommended:
Gupta, S. C. & Kapoor, V. K.- Fundamentals of Applied Statistics (Sultan Chand & Sons,
New Delhi.)
Books for Reference:
1.Goon, A. M., Gupta, M. K. & Das Gupta, B. - Fundamentals of Statistics-Vol.-II
(World Press,Calcutta.).
2.Sampath, S.- Sampling Theory & Methods.- (Narosa Publishing House.)
3.Das, M. N. & Giri.-Design and Analysis of Experiments. (Springer Verlag.)