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COURSES OF STUDIES for 2014 -2015 (ADMISSION BATCH) BACHELOR OF ARTS AND BACHELOR OF SCIENCE STATISTICS HONOURS RAVENSHAW UNIVERSITY CUTTACK

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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.