SYLLABUS FOR UG SCIENCE UNDER CBCS
SKILL ENHANCEMENT COURSE (SEC – II)
STATISTICS
FOURTH SEMESTERDEGREEEXAMINATION
Full Marks – 50 (40+10)Credit -2Time – 2 Hours
Unit –I10 marks
Measures of Central tendency .Arithmetic mean, Median,Mode and other partition values: Quartiles,Deciles and Percentiles with graphic representation.
Unit –II10 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 –III10 marks
Biivariate data: Scatter diagram. Product moment Correlation coefficient and its properties, Coefficient of rank correlation.
Unit –IV10 marks
Principle of least squares.Concept of regression, Fitting of l regression lines, regression coefficients and their properties
Internal Assessment10 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
SECONDSEMESTER DEGREE EXAMINATION
PAPER- 1
Full Marks – 100 {80 + 20}Credit -6 Time – 3 Hours
Unit –I16 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 –II16 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 –III16 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 –IV16 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 –V16 marks
Test of Significance: Null &Alternative hypotheses. Type-I & Type-II errors. Tests of significance based on Normal,and chi-square statistics.
Internal assessment20 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)
FOURTHSEMESTER DEGREE EXAMINATION
STATISTICS
PAPER – II
Full Marks – 100 {80 + 20}Credit - 6Time – 3 Hours
Unit –I16 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 –II16 marks
Basic Designs: Completely Randomized Design, Randomized Block Design (Mathematical model, Null hypotheses, Statistical analysis with ANOVA table, Merits and Limitations).
Unit –III16 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 –IV16 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 –V16 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 Assessment20 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.)