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COURSES OF STUDIES
for
2014 -2015
(ADMISSION BATCH)
BACHELOR OF ARTS
AND
BACHELOR OF SCIENCE
STATISTICS HONOURS
RAVENSHAW UNIVERSITY
CUTTACK
SEMESTER – I
THEORY
BASIC MATHEMATICS
PAPER – 1 (AH. 1.1.1) and (SH. 1.1.1)
F.M. : 10 + 40 Time – 2 Hours
Unit – 1 Linear Algebra
Permutation and combinations, binomial theorem, vector spaces over real field, sub spaces, linear
combination of vectors, examples in with geometrical interpretations, linear dependence and
independence of vectors, dimension and basis of a vector space (elementary concepts and simple
applications only).
Matrices: types of matrices, singular and non-singular matrices, matrix operations, rank and
inverse of a matrix.
Determinants, characteristic equations and latent roots.
Quadratic forms: positive definite forms and canonical form.
Unit – 2 Real Analysis
Limits of sequence, convergence of infinite series, simple tests on convergence. Convergence of
infinite and improper integrals, gamma integral, beta integral and their relationship.
Unit – 3 Calculus
Limit and Continuity. Differentiation, differential coefficients from first principle, differential
coefficients of sum, product and quotient, differential coefficient of a function.
Definite integral, integration by substitution, integration by parts.
Text Books
1. Apostol, T. M. (2007). Calculus Vol. 1, John Wiley & Sons. [Chapters 3, 4, 5 for Unit 3;
Chapters 10 for Unit 2]
2. Santi Narayan: A Text Book of Matrices, S. Chand and Company Ltd. [Chapters 1, 2, 3, 4,
5, 8 & 11 for Unit 1]
Reference Books
1. Apostol, T. M.: Mathematical Analysis, Narosa Publishing House, New Delhi.
2. Santi Narayan: A Text Book of Calculus, S. Chand and Company Ltd.
3. Bartle, R. G. and D. R. Sherbert. (2011). Introduction to Real Analysis, Wiley.
4. Rao, A.R. and P. Bhimasankaram. (2000). Linear Algebra, Hindustan Book Agency,
Delhi, India.
5. Rao, C. R. (2001). Linear Statistical Inference and its Applications, Wiley-Interscience.
6. Hadley, G. (1987). Linear Algebra, Narosa Publishing House, New Delhi.
THEORY
STATISTICAL METHODS & PROBABILITY
PAPER – 2 (AH. 1.1.2) and (SH. 1.1.2)
F.M.: 10 + 40 Time – 2 Hours
Unit – 1 Descriptive Statistics
Measures of central tendency, measures of dispersion, moments, skewness and kurtosis and their
measures, Sheppard’s correction for grouped data (without proof).
Unit – 2 Probability – I
Terminology: trials, events, sample space, mutually exclusive events, exhaustive number of cases,
independent events, equally likely cases, favourable number of cases.
Definition of probability: classical, relative frequency and axiomatic approach, probability space,
law of addition and law of multiplication of probability, conditional probability and independence
of events, Baye’s theorem and its applications.
Unit –3 Probability – II
Random variables, probability mass function and probability density function.
Distribution function, joint, marginal and conditional distributions. Expectation of a random
variable, addition and multiplication laws of expectation, moment and cumulant generating
function.
Text Books
1. Gupta, O.P. Mathematical Statistics, Kedarnath Ramnath and Co.
2. Gupta, S.C. and Kapoor V.K. Fundamentals of Mathematical Statistics, Sultan Chand and
Sons .
3. Goon, A.N., Gupta, M.K. and Dasgupta, B. Fundamentals of Statistics – Vol I, World
Press.
Reference Books
1. David, S. Elementary Probability, Oxford Press. .
2. Rohatgi, V. K. and Md. E. Saleh. (2001). An introduction to probability and statistics,
Wiley.
3. Mood, A.M., Graybill, F.A. and Boes, D.C. Introduction to theory of Statistics, McGraw–
Hill International Edition.
PRACTICAL
PAPER – 3 (AH. 1.1.3) and (SH. 1.1.3)
F.M. : 10 + 40 Time – 6 Hours
1. Measures of central tendency and dispersion, their computation and interpretation
2. Computation of first four moments for grouped and ungrouped data.
3. Calculation of skewness and kurtosis.
SEMESTER – II
THEORY
STATISTICAL METHODS
PAPER – 4 (AH. 1.2.4) and (SH. 1.2.4)
F.M. : 10 + 40 Time – 2 Hours
Unit – 1 Statistical Methods – I
Curve fitting by the method of least squares (polynomial, logarithmic and exponential),
correlation and regression for grouped and ungrouped data, correlation ratio, intra class
correlation, rank correlation.
Unit – 2 Statistical Methods - II
Multiple regression, multiple and partial correlation (3 variables only).
Unit – 3 Statistical Methods - III
Theory of attributes: consistency of data, independence and association of attributes, various
measures of association.
Text Books
1. Gupta, S.C. and V.K. Kapoor. Fundamentals of Mathematical Statistics, Sultan Chand and
Sons..
2. Gupta, O.P. Mathematical Statistics, Kedarnath Ramnath and Co.
3. Goon, A.N., M.K. Gupta and B. Dasgupta. Fundamentals of Statistics – Vol I, World
Press.
Reference Books
1. Bhat B.R, T. Srivenkatramana and Madhava. K.S. Rao. Statistics: A Beginner’s Text, Vol.
I, New Age International (P) Ltd.
2. Croxton F.E, D.J. Cowden and S. Kelin. Applied General Statistics, Prentice Hall of India.
3. Anderson T.W and S. L. Sclove. An Introduction to the Statistical Analysis of Data,
Houghton Miffin Co.
4. Mood, A.M., F.A. Graybill and D.C. Boes. Introduction to theory of Statistics McGraw–
Hill International Edition
THEORY
PROBABILITY DISTRIBUTIONS
PAPER – 5 (AH. 1.2.5) and (SH. 1.2.5)
F.M. : 10 + 40 Time – 2 Hours
Unit – 1 Discrete Probability Distributions
Discreet uniform, Bernoulli, binomial, negative binomial and Poisson distributions. Their
properties.
Unit – 2 Continuous Probability Distributions -I
Rectangular , normal , gamma and beta distribution (1st and 2
nd kind). Their properties.
Unit – 3 Continuous Probability Distributions –II
Exponential, Cauchy and bivariate normal distribution. Their properties.
Text Books
1. Gupta, O.P. Mathematical Statistics, Kedarnath Ramnath and Co.
2. Gupta, S.C. and Kapoor, V.K. Fundamentals of Mathematical Statistics, Sultan Chand and
Sons.
3. Mood, A.M., Graybill, F.A. and Boes, D.C. Introduction to theory of Statistics McGraw–
Hill International Edition.
Reference Books
1. Kotz, S., N. Balakrishnan and N. L. Johnson. (2005). Univariate Discrete Distributions 3rd
Edition, John Wiley & Sons.
2. Kotz, S., N. Balakrishnan and N. L. Johnson. (2005). Continuous Univariate Distributions
2nd Edition, Volume 1, John Wiley & Sons.
3. Kotz, S., N. Balakrishnan and N. L. Johnson. (2005). Continuous Univariate Distributions
2nd Edition, Volume 2, John Wiley & Sons.
4. Feller, W. An Introduction to Probability Theory and Its Applications, Wiley.
PRACTICAL
PAPER – 6 (AH. 1.2.6) and (SH. 1.2.6)
F.M. : 10 + 40 Time – 6 Hours
1. Fitting of 1st, 2
nd degree polynomials and exponential curves.
2. Computation of correlation coefficient for grouped and ungrouped data.
3. Computation of rank correlation coefficient (ties and without ties).
4. Obtaining regression coefficients and regression lines for grouped and ungrouped data.
5. Calculation of multiple and partial correlation and plane of regression (three variables).
6. Coefficient of association for attributes its computation and interpretation.
7. Fitting of Binomial, Poisson and Normal distributions.
SEMESTER – III
THEORY
THEORY OF ESTIMATION
PAPER – 7 (AH. 2.3.7) and ( SH. 2.3.7)
F.M. : 10 + 40 Time – 2 Hours
Unit – 1 Characteristics of Estimators
Estimators, properties of a good estimator, Cramer-Rao inequality and its applications.
Unit – 2 Sufficiency
Concept of sufficiency, Rao-Blackwell theorem and its applications, minimum variance unbiased
estimator (MVUE), concept of complete sufficient statistic with illustration.
Unit – 3 Methods of Estimation
Method of maximum likelihood and its properties, method of moments, method of minimum
variance, interval estimation.
Text Books
1. Gupta O.P. Mathematical Statistics, Kedarnath Ramnath and Co.
2. Gupta S.C. and Kapoor V.K. Fundamentals of Mathematical Statistics, Sultan Chand and
Sons
Reference Books
1. Casella, G. and Roger L. Berger. (2001). Statistical Inference, Cengage Learning.
2. Hogg, R. V. and A. Craig. (1995). Introduction to Mathematical Statistics, Prentice Hall.
3. Lehmann, E.L. and C. George. (1998). Theory of Point Estimation, Springer.
4. Rao, C. R. (2001). Linear Statistical Inference and its Applications, Wiley-Interscience.
THEORY
TESTING of HYPOTHESIS
PAPER – 8 (AH. 2.3.8) and (SH. 2.3.8)
F.M.: 10 + 40 Time – 2 Hours
Unit – 1 Testing of Hypothesis
Concept of population, sample, parameter, null and alternative hypothesis, test of significance,
one tailed and two tailed tests, type 1 and type 2 errors etc. sampling distribution of mean and
variance from normal distribution, large sample theory and large sample tests.
Unit – 2 Exact Sampling Tests - 1
Chi-square distribution and its applications (test for homogeneity of population variance, test of
goodness of fit and test of independence of attributes)
Unit – 3 Exact Sampling Tests - 2
Small sample theory, t and F distributions, applications of t and F distributions, Fisher’s Z
transformation, tests for sample correlation coefficient and regression coefficient (two variables
only).
Text Books
1. Gupta S.C. and Kapoor V.K. Fundamentals of Mathematical Statistics, Sultan Chand and
Sons
2. Gupta O.P. Mathematical Statistics, Kedarnath Ramnath and Co.
Reference Books
1. Casella, G. and R. L. Berger. (2001). Statistical Inference, Cengage Learning.
2. Goon, A.N., M. K. Gupta and B. Dasgupta. Fundamentals of Statistics – Vol I, World
Press.
3. Rohatgi, V. K. and Md. E. Saleh. (2001). An Introduction to Probability and Statistics,
Wiley.
4. Rao, C. R. (2001). Linear Statistical Inference and its Applications, Wiley-Interscience.
PRACTICAL
PAPER – 9 (AH. 2.3.9) and (SH. 2.3.9)
F.M. : 10 + 40 Time – 6 Hours
1. Tests based on Chi-square distribution.
2. Tests based on t distribution.
3. Tests based on F distribution.
4. Tests based on Fisher’s Z transformation.
5. Record and Viva – voce.
SEMESTER – IV
THEORY
PROBABILITY, TESTING of HYPOTHESIS and NON-PARAMETRIC METHODS
PAPER – 10 (AH. 2.4.10) and (SH. 2.4.10)
F.M.: 10 + 40 Time – 2 Hours
UNIT – 1 Testing of Hypothesis - 2
Meaning and concepts of tests, simple and composite hypothesis, power of tests, tests of simple
hypothesis, most powerful tests, Neyman Pearson lemma and applications, uniformly most
powerful tests, unbiased tests. Tests of composite hypothesis, likelihood ratio test and its
applications.
UNIT – 2 Non-Parametric Tests
Parametric versus non-parametric tests , advantages and disadvantages of non-parametric tests,
sign test, run test, Mann – Whitney U tests, Kolmogorov- Smirinov test, test of randomness,
median test.
UNIT – 3 Probability
Characteristic function, simple applications of Levy’s inversion theorem (without proof),
convergence in probability and convergence in distribution, Helly-Bray theorem, Levy-Cramer
theorem, ideas about weak laws and strong laws of large numbers, Chebychev’s theorem,
Khintchin’s theorem, Bernoulli’s theorem, central limit theorem ( Lindberg Levy form).
Text Books
1. Gupta S.C. and Kapoor V.K. Fundamentals of Mathematical Statistics, Sultan Chand and
Sons.
2. Gupta O.P. Mathematical Statistics, Kedarnath Ramnath and Co.
Reference Books
1. Casella, G. and Roger L. Berger. (2001). Statistical Inference, Cengage Learning.
2. Rohatgi, V. K. and Md. E. Saleh. (2001). An introduction to probability and statistics,
Wiley.
3. Rao, C. R. (2001). Linear Statistical Inference and its Applications, Wiley-Interscience.
4. Lehmann, E.L. and J. P. Romano. (2010). Testing Statistical Hypotheses 3rd edition,
Springer.
THEORY
NUMERICAL ANALYSIS and OPERATIONS RESEARCH
PAPER – 11 (AH. 2.4.11) and (SH. 2.4.11)
F.M. : 10 + 40 Time – 2 Hours
UNIT – 1 Numerical Analysis
Operators E and ∆, factorial notations, separation of symbols, divided difference, interpolation
with equal and unequal intervals, inverse interpolation, numerical integration.
UNIT – 2 Operations Research - 1
Linear Programming Problems (LPP): Application and limitations, formulation and solution of
lpp by graphical method, solution of LPP by simplex method, use of artificial variables.
UNIT – 3 Operations Research – 2
Game Theory, Duality, Transportation Problems, Assignment Problems.
Text Books
1. Sastry, S.S. (2002). Introductory Methods of Numerical Analysis, Prentice Hall.
2. Taha, H.A. (2008). Operations Research: An Introduction, Pearson Education.
Reference Books
1. Gass, S.I. (2003). Linear Programming Methods and Applications, Courier Dover
Publications.
PRACTICAL
PAPER – 12 (AH. 2.4.12) and (SH. 2.4.12)
F.M. : 10 + 40 Time – 6 Hours
1. Calculation of power of a test for testing the mean of a Normal distribution with known
variance.
2. Applications of Sign test, Run test, Mann – Whitney U tests, Kolmogorov - Smirinov test, Test
of randomness, Median test.
3. Interpolation with equal and unequal intervals using Newton’s formula and Lagrange’s
formula.
4. Numerical integration: Applications of Simpson’s one third and three eights rule and Weddle’s
formula.
5. Formulation and Solution of LPP by Graphical Method.
6. Solution of LPP by Simplex Method.
7. Problems on Game theory.
8. Problems on Duality.
9. Transportation Problems and Assignment Problems.
SEMESTER – V
THEORY
DESIGN of SAMPLE SURVEYS
PAPER – 13 (AH. 3.5.13) and (SH. 3.5.13)
F.M. : 10 + 40 Time – 2 Hours
UNIT – 1
Basic concepts, important steps in sample survey, principles of sample surveys, sampling and
non-sampling errors, methods of drawing samples, types of sampling merits and limitations of
sample surveys.
UNIT – 2
Simple random sampling – with and without replacements, characteristics and methods of
selection, estimation of population mean/total, standard error and its estimate, determination of
sample size.
UNIT – 3
Stratified random sampling – definition, method of selection, estimation of population mean/total
with standard error and its estimate, problems of allocations: proportional and optimum,
comparison with simple random sampling. Systematic sampling – method of selection, estimation
of population mean/total, sampling variance, comparison with simple random sampling and
stratified sampling.
Text Books
1. Gupta S.C. and V. K. Kapoor. Fundamentals of Applied Statistics, Sultan Chand and Sons.
2. Sukhatme, P.V. and B.V. Sukhatme: Sampling Theory of Surveys with Applications, Indian
Soc. of Agric. Stat., New Delhi.
Reference Books
1. Cochran, W.G. Sampling Techniques Third edition. Wiley.
2. Des Raj and Chandok. Sampling design. Tata Mc Graw Hill.
3. Mukhopadhyay, P. Theory and Methods of Survey Sampling, Prentice Hall.
4. Goon, A.M., M. K. Gupta, B. Das Gupta. Fundamentals of Statistics, Vol. II, World Press,
Calcutta.
THEORY
DESIGN of EXPERIMENTS
PAPER – 14 (AH. 3.5.14) and (SH. 3.5.14)
F.M.: 10 + 40 Time – 2 Hours
UNIT – 1
Linear models, tests of general linear hypothesis, analysis of variance (ANOVA) for one way and
two way classified data (one observation per cell).
Terminology and principles of design of experiment: replication, randomization and local control.
UNIT – 2
Complete Randomized Design (CRD), Randomized Block Design (RBD), Latin Square Design
(LSD) and their relative efficiency.
UNIT – 3
Missing plot technique in RBD and LSD (one missing value), 22
, 23 and 2
n factorial experiments.
Text Books
1. Gupta S.C. and Kapoor V.K. Fundamentals of Applied Statistics, Sultan Chand and Sons.
2. Goon, A.M., M. K. Gupta, B. Das Gupta. Fundamentals of Statistics, Vol. II, World Press,
Calcutta
3. Das, M.N. and Giri, N.C.: Designs of Experiments, Wiley Eastern.
Reference Books
1. Montgomery, D.C. Design and analysis of experiments. John Wiley.
2. Joshi, D.D. (1987). Linear Estimation and Design of Experiments, New Age International.
THEORY
DESIGN of SAMPLE SURVEYS
PAPER – 15 (AH. 3.5.15) and (SH. 3.5.15)
F.M.: 10 + 40 Time – 2 Hours
UNIT – 1
Unequal probability sampling with replacement – probability proportional to size with
replacement sampling, estimation of mean/total, method of selection, standard error of estimate
and it’s estimation, PPSWOR ( general selection procedure).
UNIT-2
Use of auxiliary information in sample surveys, Ratio and Regression methods of estimation,
Comparison of efficiency.
UNIT-3
Cluster sampling – equal and unequal size, estimation of population mean/total, standard error and
its estimation, comparison with mean per unit estimator. Two-stage sampling with equal and
unequal first stage units, estimation of population mean/total, standard error and its estimation,
comparison with single-stage sampling.
Text Books
1. Sukhatme, P.V. and Sukhatme, B.V.: Sampling Theory of Surveys with Applications, Indian
Soc. of Agric. Stat., New Delhi.
2. Gupta S.C. and Kapoor V.K. Fundamentals of Applied Statistics, Sultan Chand and Sons.
Reference Books
1. Cochran, W.G. Sampling Techniques, Third edition, Wiley.
2. Des Raj and Chandok. Sampling design. Tata Mc Graw Hill.
3. Mukhopadhyay, P. Theory and Methods of Survey Sampling, Prentice Hall.
4. Goon, A.M., M. K. Gupta, B. Das Gupta. Fundamentals of Statistics, Vol. II, World Press,
Calcutta.
THEORY
DESIGN of EXPERIMENTS
PAPER – 16 (AH. 3.5.16) and (SH. 3.5.16)
F.M.: 10 + 40 Time – 2 Hours
UNIT-I
Repeated Latin Squares, Greco L.S.D., orthogonal L.S.D., 32 Factorial experiments and their
analysis.
UNIT-2
Confounding: advantages and disadvantages, total and partial confounding in 22 and 2
3 factorial
experiments.
UNIT-III
Split plot and Strip plot designs, balanced incomplete block designs.
Text Books
1. Das, M.N. and Giri, N.C.: Designs of Experiments, Wiley Eastern.
2. Goon, A.M., M. K. Gupta, B. Das Gupta. Fundamentals of Statistics, Vol. II, World Press,
Calcutta.
3. Gupta S.C. and Kapoor V.K. Fundamentals of Applied Statistics, Sultan Chand and Sons.
Reference Books
1. Kempthorne, O. The Design and Analysis of Experiments, Wiley.
2. Montgomery, D.C. Design and analysis of experiments. John Wiley.
3. Joshi, D.D. (1987). Linear Estimation and Design of Experiments, New Age International.
PRACTICAL
PAPER – 17 (AH. 3.5.17) and (SH. 3.5.17)
F.M. : 10 + 40 Time – 6 Hours
1. Analysis of CRD, RBD and LSD and comparison of efficiency.
2. Analysis of RBD and LSD with one missing value.
3. Analysis of 22 , 2
3 and 2
4 factorial experiments.
4. Analysis of confounded 22
, 23 and 2
4 ( total and partial) factorial experiments.
5. Analysis of split plot and strip plot designs, balanced incomplete block design.
PRACTICAL
PAPER – 18 (AH. 3.5.18) and (SH. 3.5.18)
F.M.: 10 + 40 Time – 6 Hours
1. Drawing of simple random samples and estimation of population mean and total with
standard errors.
2. Allocation of samples in stratified random sampling and estimation of population mean
and total with standard errors. Comparison of efficiency with simple random sampling.
3. Drawing of systematic samples, comparison of efficiency with simple random sampling
and stratified random sampling.
4. Drawing of PPS samples with replacement and estimation of population mean and total
with standard errors.
5. Estimation of population mean and total with ratio and regression methods of estimation.
Comparison of efficiency.
SEMESTER – VI
THEORY
TIME SERIES ANALYSIS
PAPER – 19 (AH. 3.6.19) and (SH. 3.6.19)
F.M.: 10 + 40 Time – 2 Hours
UNIT-1
Definition and use, components of time series, measurement of trend: graphic method, method of
semi average, method of moving average, method of least square.
UNIT-2
Measurement of seasonal component: method of simple average, ratio to trend method, ratio to
moving average method, link relative method.
Measurement of cyclic component: simple method, method of harmonic analysis, periodogram
analysis.
UNIT-3
First and second order auto regressive series, autocorrelation and correlogram analysis.
Text Books
1. Gupta, S.C. and Kapoor, V.K. Fundamentals of Applied Statistics, Sultan Chand and Sons.
2. Goon, A.M., M. K. Gupta, B. Das Gupta. Fundamentals of Statistics, Vol. II, World Press,
Calcutta.
Reference Books
1. Chatfield, C. The Analysis of Time Series - An Introduction, Second edition, Chapman
and Hall.
2. Anderson, T. W. The Statistical Analysis of Time Series, Wiley, N. Y.
THEORY
INDEX NUMBERS, OFFICIAL STATISTICS and STATISTICS in PSYCHOLOGY & EDUCATION
PAPER – 20 (AH. 3.6.20) and (SH. 3.6.20)
F.M.: 10 + 40 Time – 2 Hours
UNIT-I
Index Numbers: Definition, use and classification of Index Numbers, Important steps in
construction of Index Numbers, Criteria of a good Index Number, Cost of Living Index Number
and its construction and use, Base shifting, Splicing and Deflating of Index Numbers.
UNIT-2
Official Statistics: Statistical organizations in Govt. of India and different states with reference to
Odisha, Population Statistics, Agricultural Statistics, Industrial Statistics.
UNIT-3
Psychological and Educational Statistics: Scaling procedure, scaling of rankings and ratings in
terms of normal probability curve. Reliability of test scores, validity of test scores, Intelligence
tests and Intelligence quotient.
Text Books
1. Gupta, S.C. and Kapoor, V.K. Fundamentals of Applied Statistics, Sultan Chand and Sons.
2. Goon, A.M., Gupta, M.K. and B. Dasgupta. Fundamentals of Statistics, Vol. II, World
Press.
Reference Books
1. Croxton, F.E. and D. J. Cowden. (1969). Applied General Statistics, Prentice Hall of
India.
THEORY
INDUSTRIAL STATISTICS and COMPUTING
PAPER – 21 (AH. 3.6.21) and (SH. 3.6.21)
F.M.: 10 + 40 Time – 2 Hours
UNIT-1
Industrial statistics – statistical quality control, need for statistical quality control, control charts in
general, random and assignable causes, purpose of control charts, process control, control charts
for measurements, charts for averages, attributes, defectives and defects.
UNIT-2
Acceptance sampling plans – single and double sampling plans for attributes, producer’s and
consumer’s risk, variable sampling plans, OC and ASN and ATI curves sequential sampling
plans. Sequential sampling plan.
UNIT-3
Understanding computers, parts of a computer, flow chart and algorithm.
Statistical software for data analysis – SPSS & R. Introduction to data base management systems,
creating data base using common data base management systems. Introduction to common
statistical softwares like SPSS and R. Importing data sets from data bases to SPSS and R.
Books Recommended
1. Gupta, S.C. and Kapoor, V. K. Fundamentals of Applied Statistics, Sultan Chand and
Sons.
2. Grant, E.L. and Leavenworth, R.S.: Statistical Quality Control, McGraw-Hill.
3. Sanders, H.D. Computer Today.
References
1. Brownle e, K.A. Statistical Theory and Methodology in Science and Engineering, John
Wiley and Sons.
2. Grant, E.L. Statistical Quality Control, McGraw Hill.
3. www.r-project.org
4. Wald, A.: Sequential Analysis, John Wiley.
THEORY
VITAL STATISTICS and DEMAND ANALYSIS
PAPER – 22 (AH. 3.6.22) and (SH. 3.6.22)
F.M.: 10 + 40 Time – 2 Hours
UNIT-I
Uses and sources of vital statistics, rates and ratios of vital events. measurement of mortality
crude death rate, specific death rate, standardized death rate, infant mortality rate.
Life tables: concept, assumption, construction and use, concept of stationary and stable
population.
UNIT-2
Abridged life tables: concept and construction.
Measurement of fertility: crude birth rate, general fertility rate, specific fertility rate, total fertility
rate, gross reproduction rate, net reproduction rate.
UNIT-3
Demand Analysis: Law of demand, price determination in a competitive market, price-elasticity
of demand, estimation of demand curve, determination of demand curve from market data, form
of demand function, Engel’s law and Engel’s curve, income-elasticity of demand, different forms
of Engel curve
Books Recommended
1. Gupta S.C. and Kapoor V.K. Fundamentals of Applied Statistics, Sultan Chand and Sons.
2. Goon, A.M., Gupta, M.K. and B. Dasgupta. Fundamentals of Statistics, Vol. II, World
Press.
Reference Books
1. Keyfitz, N. (1977). Applied Mathematical Demography, Springer Verlag.
2. Pathak, K. B. and F. Ram. (2011). Techniques of Demographic Analysis, Himalya
Publishing House, Mumbai.
PRACTICAL
PAPER – 23 (AH. 3.6.23) and (SH. 3.6.23)
F.M.: 10 + 40 Time – 6 Hours
1. Measurement of trend by graphic method, method of least square, method of moving
average (Spencer’s formula).
2. Measurement of Seasonal Component: Simple average method, Ratio to trend method,
ratio to moving average method and link relative method.
3. Construction of index number by Laspeyre’s method, Paasche’s method and Fisher’s
method and tests for an ideal index number formula.
4. Construction of index number using price relatives.
5. Computation of mortality, fertility and reproduction rates.
6. Construction of complete and abridged life table.
7. Construction of control charts for mean, range, fraction defective and number of
defectives.
PROJECT
PAPER – 24 (AH. 3.6.24) and (SH. 3.6.24)
F.M.: 30 (Project Report) + 20 (Presentation)
The students have to undertake a project under the guidance of a faculty member assigned by the
Head of the Department. The project work should be chosen such that there is enough scope to
apply and demonstrate the statistical techniques learnt in the honours program. The project report
shall clearly state the problem addressed, the methodology adopted, the assumptions and
hypotheses formulated, any previous references to the study undertaken, statistical analyses
performed and the broad conclusion drawn.