syllabus for b.sc statistic first semester

i want to know the b.sc statistic first semester tamil and english syllabus, will you plz provide me ????

Hello sir I am rajesh,
Sir would you please provide me Syllabus for B.sc statistic first semester of Periyar University????

[Kiran Chandar]

Hello Rajesh as you want the Syllabus of B.sc statistic first semester of Periyar University so here I am providing you the same; please have a look…..

B.Sc. STATISTICS
SEMESTER – I
DESCRIPTIVE STATISTICS
UNIT – I
Collection and sources of statistical data – Formation of frequency distribution – discrete and continuous – Exclusive and Inclusive – cumulative frequency distribution (O‟gives) – Representation of data – Graphs and Diagrams – Bar diagrams, Histogram, Pie diagram.

UNIT – II
Univariate data – Measures of Central Tendency – Arithmetic Mean, Median, Mode, Geometric mean, Harmonic mean – Inter Relationship between A.M, G.M and H. M – Weighted A.M – properties of a good Average.

UNIT – III
Measures of dispersion – Range, Quartile Deviation, Mean Deviation and Standard Deviation – Inter Relationship between Q.D., M.D., and S.D. - Co-efficient of Variation – Lorenz curve

UNIT – IV
Moments – Raw moments, Central moments – Relation between raw and central moments – Measures of skewness – Karl Pearson‟s coefficient of skewness – Bowley‟s co-efficient of Skewness – Measures of Kurtosis.

UNIT – V
Correlation – types of correlation – Scatter diagram –– Karl Person‟s co-efficient of correlation – properties – Spearman‟s Rank correlation co-efficient – Concurrent deviation Method - Correlation co-efficient for grouped data.

Reference Books:
1. Gupta, S.C, and Kapoor, V.K. (2004). Fundamental of Mathematical Statistics (11th –edition), Sultan Chand & Sons, New Delhi.
2. Goon Gupta A.M and Das Gupta, (1994). Fundamentals of Statistics, The World Press Private Limited, Calcutta.
3. S.P.Gupta, (2001). Statistical Methods, Sultan Chand & Sons, New Delhi.

ALLIED MATHEMATICS – I
(Algebra, Calculus, Fourier series)
Time:5 Hrs/Week Max Marks :75
(For B.Sc Statistics, Physics, Chemistry, Computer Science, Electronics, BCA and Bio-informatics)
UNIT – I:
Characteristic Equation - Eigen Values and Eigen Vectors - Cayley-Hamilton Theorem(Statement only) - Problems

UNIT – II:
Polynomial Equations - Imaginary and Irrational Roots - Transformation of equations -Descarte‟s Rule of Signs - Problems

UNIT – III:
Radius of Curvature in Cartesian and Polar Co-ordinates – Pedal Equation of a curve – Radius of Curvature in p-r co-ordinates.

UNIT-IV:
Integral Calculus – Integration by parts – Definite integrals and its properties – Reduction formulae for nxdx nxdx , nxdx , nxdx , nxdx , nxdx , ndx , dx – Problems.

UNIT – V:
Fourier Series: Definition – To find the Fourier Co – efficient of periodic functions of period 2π – even and odd functions – Half range Series - Problems

DESCRIPTIVE STATISTICS
Time: 3 Hours Maximum: 75 Marks
Part - A (10 x 2 = 20)
Answer ALL questions
1. What is meant by qualitative data?
2. Define primary data
3. What is tabulation?
4. State any two merits of diagrammatic representation.
5. What is a measure of central tendency?
6. Define relative measure.
7. Define skewness.
8. What do you mean by Kurtosis?
9. Define correlation.
10. What is probable error in correlation?
Part - B (5 x 5 = 25)
Answer ALL Questions
11. a)Distinguish between primary data and secondary data.
Or
(b)Explain any two methods of primary data collection.
12. (a)Explain the four types of classification.
Or
(b)Explain the parts of a good table.
13. (a)List the properties of a good average.
Or
(b)Obtain Median for the following
CI: 0-20 20-40 40-60 60-80 80-100
Frequency: 10 15 26 19 10
14. (a) Explain any two methods of studying skewness.
Or
(b) First three moments of a distribution about the value 4 of the variable are –1.5, 17 and –30. Find μ2 and μ3.
21
15. (a) Explain the method of studying correlation by scatter diagram method.
Or
(b)Obtain Rank Correlation:
Rank by Judge I: 3 5 4 8 9 7 1 2 6 10
Rank by Judge II: 4 6 3 9 10 7 2 1 5 8
Part – C (3 x 10 = 30)
Answer any THREE questions
16. What are the various methods used for collecting primary data?
17. Explain any four types of Bar Diagrams.
18. Explain the method of drawing Lorenz curve. What are it uses?
19. Obtain the relationship between raw moments and central moments up to 4th order.
20. Show that correlation co-efficient is unaffected by changing origin and scale.

Rest of the Syllabus here I am attaching a pdf file please download it…..

I am the student of B.Sc Hons Statistic first semester of University of Delhi so I need its syllabus can you please provide me this?

[Arun Vats]

Following is the syllabus of B.Sc Hons Statistic first semester of University of Delhi which you need

Semester I: Examination 2011 and onwards
Paper STH 101: Technical Writing and Communication in English
Unit 1
Communication: Language and communication, differences between speech and writing, distinct features
of speech, distinct features of writing.

Unit 2
Writing Skills; Selection of topic, thesis statement, developing the thesis; introductory, developmental,
transitional and concluding paragraphs, linguistic unity, coherence and cohesion, descriptive, narrative,
expository and argumentative writing.

Unit 3
Technical Writing: Scientific and technical subjects; formal and informal writings; formal writings/reports,
handbooks, manuals, letters, memorandum, notices, agenda, minutes; common errors to be avoided.

SUGGESTED READINGS:
1. M. Frank. Writing as thinking: A guided process approach, Englewood Cliffs, Prentice Hall
Reagents.
2. L. Hamp-Lyons and B. Heasely: Study Writing; A course in written English. For academic and
professional purposes, Cambridge Univ. Press.
3. R. Quirk, S. Greenbaum, G. Leech and J. Svartik: A comprehensive grammar of the English
language, Longman, London.
4. Daniel G. Riordan & Steven A. Panley: “Technical Report Writing Today” - Biztaantra.

ADDITIONAL REFERENCE BOOKS:
5. Daniel G. Riordan, Steven E. Pauley, Biztantra: Technical Report Writing Today, 8th Edition
(2004).
6. Contemporary Business Communication, Scot Ober, Biztantra, 5th Edition (2004)

Paper STH 102: Calculus-I
Differential Calculus: Limits of functions, continuous functions (ε and δ notations), properties of
continuous functions, review of results on differentiation, Successive differentiation, Leibnitz rule, partial
differentiation, Euler’s theorem on homogeneous functions; maxima and minima of functions of one and
two variables, Constrained Optimisation techniques (with and without Lagrange multiplier) along with few
problems. Jacobians, point of inflexion; asymptotes; concavity and convexity of functions, singular points,
tracing of curves in Cartesian and polar forms.
Review of Differential Equations, equations reducible to linear forms and homogenous forms, exact
differential equations, Integrating Factor, Equations of first order but not of the first degree, Equations
solvable for p.y and x, Clairut’s Equation. Linear differential equations with constant coefficients,
Operators, solution of nth order differential equation, Inverse operators, homogeneous linear equations,
equations reducible to homogeneous form

SUGGESTED READINGS:
1. Anton, H., Biven, I., Davis, S.(2002) : Calculus, J. Wiley & Sons.
2. Apostol, Tom. M. (2002): Calculus, Vol. I. John Wiley & Sons.
3. Ross, S.L. (1984): Differential Equations, John Wiley and Sons (Student Edition).
4. Shanti Narain (2009): Differential Calculus. (Reprint). S. Chand and Co.
5. Simmons, G. F. (1972): Differential Equations, Tata McGraw Hill.

Paper STH 103: Algebra-I
Demoivre’s theorem (both integral and rational index). Expansion for cos nθ ,sin nθ, tan nθ in
terms of powers of sinθ , cosθ and tanθ. Expansion of sinnθ , cosnθ in terms of sine and cosine of
multiples of θ. Expansion of tan(θ1+…+θn) in terms of elementary symmetric functions of tanθ1, …,tanθn.
Summation of series and complex roots of unity.
Theory of equations, statement of the fundamental theorm of algebra and its consequences.
Relation between roots and coefficients or any polynomial equations. Solutions of cubic and biquadratic
equations when some conditions on roots of equations are given. Evaluation of the symmetric polynomials
and roots of cubic and biquadratic equations.
Inequalities: Inequality of means, Holder’s inequality, Cauchy-Schwartz Inequality, Triangle
inequality, Tchebychef inequality, Weierstrass Inequality.
Algebra of matrices-a review. Theorems related to triangular, symmetric and skew symmetric
matrices, idempotent matrices, Hermitian and skew Hermitian matrices, orthogonal matrices, singular and
non-singular matrices and their properties. Trace of a matrix, unitary, involutory and nilpotent matrices.
Adjoint and inverse of a matrix and related properties.
Determinants of Matrices: Definition, properties and applications of determinants for 3rd and higher
orders, evaluation of determinants of order 3 and more using transformations. Symmetric and Skew- symmetric determinants, Circulant determinants and Vandermonde determinants for nth order, Jacobi’s
Theorem, product of determinants. Use of determinants in solution to the system of linear equations.

SUGGESTED READINGS:
1. Beachy, J. A and. Blair, W. D (1990): Abstract Algebra with a concrete introduction,Prentice Hall
2. Biswas, S. (1997) :A Textbook of Matrix Algebra, New Age International.
3. Gupta, S.C. (2008): An Introduction to Matrices. (Reprint). Sultan Chand & Sons.
4. Hall, H.S. and. Knight, S. R. (1994) : Higher Algebra, H.M. Publications. 5. Lay, David C. (2007): Linear Algebra and its Applications (3rd Edition), Pearson Education Asia,
Indian Reprint.
6. Singhal, M.K. and Singhal, A.R.( 1980) : Algebra, 10th edition. R. Chand & Co.

Paper STH 104: Probability and Statistical Methods-I
Statistical Methods: Concepts of statistical population and sample from a population, quantitative
and qualitative data, Nominal, ordinal and time series data, discrete and continuous data. Presentation of
data by table and by diagrams, frequency distributions by histogram and frequency polygon, cumulative
frequency distributions (inclusive and exclusive methods) and ogive. Bivariate data-scatter diagram,
principle of least squares and fitting of polynomials and exponential curves.
Measures of location (or central tendency) and dispersion. moments, measures of skewness and
kurtosis, absolute moments and factorial moments, Inequalities concerning moments, Sheppard’s
corrections. Theory of attributes: Consistency of data, conditions for consistency, independence and
association of attributes, measures of association and contingency.
Probability Theory: Random experiments, sample point and sample space, event, algebra of events.
Definition of Probability – classical and relative frequency approach to probability; Richard Von-Mises,
and Kolmogorov’s approach to probability, merits and demerits of these approaches (only general ideas to
be given ), theorems on probability, conditional probability, independent events, Bayes theorem and its
applications.

SUGGESTED READINGS:
1. Goon A.M., Gupta M.K. and Dasgupta B. (2005): Fundamentals of Statistics, Vol. I, 8th Edn.
World Press, Kolkata.
2. Goon, A.M., Gupta, M.K. and Dasgupta, B. (2003): An Outline of Statistical Theory, Vol. I,
4th Edn. World Press, Kolkata.
3. Gupta, S.C. and Kapoor, V.K. (2007): Fundamentals of Mathematical Statistics, 11th Edn.,
(Reprint), Sultan Chand and Sons.
4. Miller, Irwin and Miller, Marylees (2006): John E. Freund’s Mathematical Statistics with
Applications, (7th Edn.), Pearson Education, Asia.
5. Mood, A.M. Graybill, F.A. and Boes, D.C. (2007): Introduction to the Theory of Statistics, 3rd
Edn., (Reprint), Tata McGraw-Hill Pub. Co. Ltd.
6. Rohatgi, V. K. and Saleh, A. K. Md. E. (2009): An Introduction to Probability and Statistics, 2nd
Edn. (Reprint). John Wiley and Sons.

STATISTICS/ COMPUTER LAB.:
Practical-I:
comprising the following two parts:
Part A: Based on Papers STH 103 and STH 104
Part B: Introduction to Computer fundamentals and Electronic Spread sheet.

Semester II: Examination 2012 and onwards
Paper STH 201: Calculus-II
Review of integration and definite integrals, integration of irrational functions. Reduction formulae,
application of integration: Rectification and quadrature, volumes and surfaces of revolution for cartesian
and polar curves, differentiation under integral sign.
Double Integrals, change of order of integration, transformation of variables, Beta and Gamma
integrals and relationship between them.
Geometry: Pair of straight lines, Circle, derivation of equation of tangent, normal, polar and length
of tangent from any external point. Conic sections: Equation of Parabola and associated theorems, Ellipse,
eccentric angle, equation of Ellipse and its tangents and normal in terms of eccentric angle, Hyperbola in
standard forms and their properties, real, conjugate and rectangular Hyperbola.

SUGGESTED READINGS:
1. Gorakh Prasad and Gupta, H. C. (1994): Text Book on Coordinate Geometry, Pothishala 'Pvt. Ltd.,
Allahabad.
2. Shanti Narain and Mittal, P.K. (2007): Integral Calculus. (Reprint). S. Chand and Co.
3. Strauss, M. J., Bradley, G. L. and Smith, K. J. (2007): Calculus (3rd Edition), Dorling Kindersley
(India) Pvt. Ltd. (Pearson Education).

Paper STH 202: Algebra‐II
System of linear equations, row reduction and echelon forms, the matrix equations AX=B, solution
sets of linear equations, linear independence, Applications of linear equations, inverse of a matrix. Rank of
a matrix, row-rank, column-rank, standard theorems on ranks, rank of the sum and the product of two
matrices. Generalized inverse (concept with illustrations). Partitioning of matrices and simple properties.
Homogeneous and non-homogeneous system of linear equations- their consistency and general solutions.
Introduction to matrix polynomial. Characteristic roots and characteristic vectors of a matrix, Cayley-
Hamilton theorem. Quadratic forms, linear orthogonal transformation and their diagonalisation.
Sets ,binary relations. Definitions and examples of groups,abelian-groups, rings, integral domain,
skew-field and fields ,vector spaces with illustrations, vector space with real scalars, linear combination of
vectors, sub-spaces, linear span, bases and change of bases, dimensions, orthogonal vectors, orthogonal
basis, Gram-Schmidt orthogonalisation process. Matrix differentiation.

SUGGESTED READINGS:
1. Artin, M. (1994): Algebra. Prentice Hall of India.
2. Datta, K.B. ( 2002) : Matrix and Linear Algebra. Prentice Hall of India Pvt. Ltd.
3. Graybill, F.E.(1961) :Introduction to Matrices with Applications in Statistics. Wadsworth Pub. Co.
4. Gupta, S.C. (2008): An Introduction to Matrices. (Reprint). Sultan Chand & Sons.
5. Hadley, G. (2002) : Linear Algebra. Narosa Publishing House Reprint.
6. Searle, S. R. (1982) : Matrix Algebra Useful for Statistics. John Wiley & Sons.

Paper STH 203: Probability and Statistical Methods-II
Random Variables: Discrete and continuous random variables, p.m.f. , p.d.f. , c.d.f. illustrations of
random variables and its properties. Univariate transformations.
Expectation of random variable and its properties. Moments and cumulants, moment generating
function. Cumulant generation function and characteristic function.
Standard discrete probability distributions: Degenerate, Binomial, Poisson, Geometric, Negative
Binomial, Hypergeometric.
Standard continuous probability distributions: Normal, uniform, exponential, beta, gamma, Cauchy,
Laplace.

SUGGESTED READINGS:
1. Goon, A.M., Gupta, M.K. and Dasgupta, B. (2003): An Outline of Statistical Theory, Vol. I,
4th Edn. World Press, Kolkata.
2. Gupta, S.C. and Kapoor, V.K. (2007): Fundamentals of Mathematical Statistics, 11th Edn.,
(Reprint), Sultan Chand and Sons.
3. Hogg, R.V. and Tanis, E.A. (2009): A Brief Course in Mathematical Statistics. Pearson Education.
4. Johnson, N.L., Kotz, S. and Balakrishnan, N. (1994): Discrete Univariate Distributions, John
Wiley.
5. Johnson, N.L., Kotz, S. and Balakrishnan, N. (1994): Continuous Univariate Distributions, Vol. I &
Vol. II, 2nd Edn., John Wiley.
6. Mood, A.M., Graybill, F.A. and Boes, D.C. (2007): Introduction to the Theory of Statistics, 3rd
Edn. (Reprint), Tata McGraw-Hill Pub. Co. Ltd.
7. Rohatgi, V. K. and Saleh, A. K. Md. E. (2009): An Introduction to Probability and Statistics, 2nd
Edn. (Reprint). John Wiley and Sons.
8. Ross, S. M. (2007): Introduction to Probability Models, 9th Edn., Indian Reprint, Academic Press.

Paper STH 204: Applied Statistics-I
Index Numbers: Definition, construction of index numbers by different methods, Problems faced in
their construction, criterion of a good index number-Test Theory-unit, time reversal, factor reversal and
circular tests. Errors in the construction of index numbers. Chain and Fixed base index numbers. Base
Shifting, Splicing and Deflating of index numbers. Cost of Living Index numbers- construction and uses.
Wholesale Price Index and Index of Industrial Production.
Demand Analysis: Demand function, price and income elasticity of demand, nature of
commodities, laws of supply and demand, Income distributions, Pareto – curves of concentration.
Utility and Production Functions: utility function, constrained utility maximisation, indifference
curves, derivation of demand curve, production function, homogeneous production functions, Isoquant and
Isocost curves, Elasticity of substitution, C.E.S. functions, Multiple production by monopolist,
discriminating monopolistic form, multiplant form.
Application of integration in Economics: Given Elasticity of any function then how to find
function, consumer surplus, producer surplus, learning curves, finding consumption function from M.P.C,
finding profit function from M.R and M.C.
Mathematical Finance: Compound Interest, Discount and present value, Different types of
annuities.

SUGGESTED READINGS:
1. Allen, R.G.D. (1975): Index Numbers in Theory and Practice. Macmillan.
2. Allen, R.G.D. (1995): Mathematical Analysis for Economist. Macmillan.
3. Ayer, Frank. (1983): Theory and Problems of Mathematics of Finance (Schaum’s Outline Series),
Mc Graw Hill Book Company, Singapore
4. Croxton, F.E., Cowden, D.J. and Klein, S. (1982): Applied General Statistics, 3rd Edn. Prentice Hall
of India (P) Ltd.
5. Gupta, S.C. and Kapoor, V.K. (2008): Fundamentals of Applied Statistics, 4th Edn., (Reprint),
Sultan Chand and Sons.
6. Soni, R.S. (1996): Business Mathematics with Application in Business and Economics. Pitamber
Publishing Co.

STATISTICS LAB.:
Practical-II:
Based on Papers STH 202, STH 203 and STH 204.

Semester III: Examination 2012 and onwards
Paper STH 301: Real Analysis
Real Analysis: Representation of real numbers as points on the line and the set of real numbers as
complete ordered field. Bounded and unbounded sets, neighborhoods and limit points, suprimum and
infimum, derived sets, open and closed sets, sequences and their convergence, limits of some special
sequences such as and Cauchy’s general principle of convergence, Cauchy’s first
theorem on limits, monotonic sequences, limit superior and limit inferior of a bounded sequence.
Infinite series, positive termed series and their convergence, Comparison test, D’Alembert’s ratio
test, Cauchy’s nth root test, Raabe’s test. Gauss test and Maclaurin’s integral test. Leibnitz’s test for the
convergence of alternating series, Absolute convergence and Conditional convergence of series.
Continuous functions, algebra of continuous functions, continuous functions and boundedness.
Differentiability, Rolle’s theorem, Mean Value theorems. Taylor’s theorem with lagrange’s and Cauchy’s
form of remainder. Taylor’s and Maclaurin’s series expansions of sinx, cosx, log (1+x).
Indeterminate form, L’Hospital’s rule.

SUGGESTED READINGS:
1. Apostol, T.M. (1985): Mathematical Analysis, Narosa Publishing House, New Dellhi.
2. Bartle, R. G. and Sherbert, D. R. (2002): Introduction to Real Analysis (3rd Edition), John Wiley
and Sons (Asia) Pte. Ltd., Singapore.
3. Ghorpade, Sudhir R. and Limaye, Balmohan V. (2006): A Course in Calculus and Real Analysis,
Undergraduate Texts in Mathematics, Springer (SIE), Indian reprint.
4. Ross, K. A. (2004): Elementary analysis: the theory of calculus, Undergraduate Texts in
Mathematics,Springer (SIE), Indian reprint.
5. Rudin, W. (1976): Principles of Mathematical Analysis, Tata McGraw-Hill.
6. Singhal, M.K. and Singhal, A.R. (1992): A First course in Real Analysis. R. Chand & Co.

Paper STH 302: Probability and Statistical Methods – III
Bivariate and Multivariate Distributions : Discrete and continuous type, c.d.f., p.d.f., marginal and
conditional distributions, independence, expectation and conditional expectation, characteristic function
and its properties, Inversion Theorem (without proof). Multinomial Distribution.
Bivariate Transformations-concept and examples in uniform, normal, exponential, beta, gamma and
Cauchy distributions.
Variance stabilizing transformations-sin-1, square root, log and Fisher’s z. Bivariate normal
distribution and its properties. Multivariate normal distribution, its marginal and conditional distributions.
Correlation and regression: Karl Pearson’s Coefficient of Correlation, lines of regression,
Spearman’s Rank Correlation Coefficient. Intraclass correlation coefficient, Correlation Ratio. Multiple
and partial correlation coefficients (for three variates only).
Limit Laws: Convergence in probability, almost sure convergence, convergence in mean square
and convergence in distribution. Chebyshev’s inequality, WLLN, SLLN applications, De-Moivre-Laplace
theorem, central limit theorem (C.L.T.) for i.i.d. variates, Liapunov theorem (without proof) and
applications of C.L.T.

SUGGESTED READINGS:
1. Anderson, T.W. (2003): Introduction to Multivariate Statistical Analysis, (3rd Edition). John Wiley
and Sons.
10
2. Hogg, R.V., Craig, A.T. and Mckean, J.W. (2009): Introduction to Mathematical Statistics, 6th
Edn., (6th Impression). Pearson Education.
3. Goon, A.M., Gupta, M.K. and Dasgupta. B. (2003): An Outline of Statistical Theory, Vol. I, 4th
Edn. World Press, Kolkata.
4. Gupta, S.C. and Kapoor, V.K. (2007): Fundamentals of Mathematical Statistics, 11th Edn.,
(Reprint), Sultan Chand and Sons.
5. Rohatgi, V. K. and Saleh, A. K. Md. E. (2009): An Introduction to Probability and Statistics, 2nd
Edn. (Reprint). John Wiley and Sons.
6. Parzen, E. (1992): Modern Probability Theory and its Applications. Wiley-Inter Science (Paper
back Wiley Classic).

Paper STH 303: Applied Statistics‐II
Time Series: Introduction, decomposition of a time series, different components with illustrations.
Measurement of trend-Graphical Method, Method of Semi-averages, Method of fitting curves (straight
line, polynomials, growth curves-modified exponential curve, Gompertz curve and logistic curve). Method
of Moving Averages. Measurement of seasonal variation- Method of Simple Averages, Ratio to Trend
Method, Ratio to Moving Average Method and Link Relative Method. Measurement of cyclical variation- residual method. Random component-estimation of its variance by Variate Difference Method.
Statistical Quality Control (S.Q.C.): Its concept, application and importance. Process and Product
Controls, causes of variations in quality, 3 -control limits and their justification. Theory of control charts
for variables and attributes: x , R, s, p, np, c and u-charts. Natural Tolerance Limits. Specification Control
Limits and Modified Control Limits.
Sampling Inspection Plans- Acceptance-Rejection and Acceptance-Rectification plans, concepts,
Acceptance Quality level (AQL), Lot Tolerance Percent Defective (LTPD), Process Average Fraction
Defective, Producer’s Risk, Consumer’s Risk, Average Outgoing Quality (AOQ), Average Outgoing
Quality Limit (AOQL), Operating Characteristic (OC) curve, Average Sample Number (ASN) Curve and
Average Amount of Total Inspection (ATI) Curve. Single Sampling Plan- Probability of Acceptance using
hypergeometric distribution and its approximation to Poisson and binomial distributions, its OC, AOQ,
ASN and ATI functions. Determination of n and c using different approaches.
Indian official Statistics: Present official statistical system in India relating to census and
population; methods of collection of official statistics. Various agencies responsible for the data collection-
C.S.O., N.S.S.O., office of Registrar General, their main functions and important publications.

SUGGESTED READINGS:
1. Croxton, F.E., Cowden, D.J. and Klein, S. (1982): Applied General Statistics, 3rd Edn. Prentice Hall
of India (P) Ltd.
2. Duncan, A.J. and Erwin, R.D. (1974): Quality Control and Industrial Statistics, 4th Edn.
Taraporewala and Sons.
3. Elhance, D. N. and Elhance, V. (1996): Fundamentals of Statistics. D.K. Publishers.
4. Goon A.M., Gupta M.K. and Dasgupta B. (2005): Fundamentals of Statistics, Vol. II, 8th Edn.
World Press, Kolkata.
5. Grant, E.L. (1999): Statistical Quality Control. Tata McGraw-Hill.
6. Gupta, S.C. and Kapoor, V.K. (2008): Fundamentals of Applied Statistics, 4th Edn., (Reprint),
Sultan Chand and Sons.
7. Montgomery, D.C. (2007): Introduction to Statistical Quality Control. Wiley India.
8. Mukhopadhyay, P. (1999): Applied Statistics. Books and Allied (P) Ltd.

Paper STH 304: Survey Sampling
Sample Surveys: Concepts of Population and sample. Complete enumeration vs sampling. Need for
sampling. Principal and organisational aspects in the conduct of a sample survey. Probability sampling
design. Properties of a good estimator. Sampling errors.
Basic sampling methods: Simple random sampling with or without replacement for the estimation
of mean, total, proportion and ratio. T1 and T2 classes of Linear estimators and minimum variance.
Determination of sample size. Probability proportional to size sampling (with replacement).
Stratified random sampling: Different allocations. Post-stratification, Method of collapsed strata.
Ratio method of estimation, optimality of ratio estimator. Difference and Regression methods of
estimation, optimality of regression estimator. Linear and circular systematic sampling, performance of
systematic sampling in populations with linear trend. Cluster sampling with equal size of clusters. Twostage
sampling (Sub-sampling) with equal first stage units.
Non sampling errors. Sources, Hansen and Hurwitz technique .

SUGGESTED READINGS:
1. Cochran, W.G. (1977): Sampling Techniques. John wiley and Sons, N.Y.
2. Murthy, M.N. (1967): Sampling Theory and Methods. Statistical Publishing Society, Kolkata.
3. Raj, D. and Chandhoke, P. (1998): Sample Survey Theory. Narosa Publishing house.
4. Singh, D. and Chaudhary, F.S. (1995): Theory and Analysis of Sample Survey Designs. New Age
International (P) Ltd.
5. Sukhatme, P.V., Sukhatme, B.V., Sukhatme, S. and Asok, C. (1984): Sampling Theory of Surveys
with Applications. Iowa State University Press, Iowa, USA.

For complete syllabus here is the attachment