Semester - VI, Paper-VII Syllabus

B.Sc. III Year, VI Semester (CBCS): Statistics Syllabus

Paper-VII: Design of Experiments, Vital Statistics, Official Statistics and Business Forecasting (DSC-2F)

(3 HPW with 3 Credits and 60 Marks)

Unit –I

Analysis of Variance and Design of Experiments: Concept of Gauss-Markoff linear model with examples, statement of Cochran’s theorem, ANOVA – one-way, two-way classifications with one observation per cell.Expectation of various sums of squares, Statistical l analysis, Importance and applications of design of experiments.

Principles of experimentation: Analysis of Completely randomized Design (C.R.D), Randomized Block Design (R.B.D)

Unit –II

Latin Square Design (L.S.D) including one missing observation, expectation of various sum of squares. Comparison of the efficiencies of above designs.

Official Statistics: Functions and organization of CSO and NSSO. Agricultural Statistics, area and yield statistics. National Income and its computation, utility and difficulties in the estimation of national income.

Business Forecasting: Role of forecasting in Business, Steps in Forecasting, Methods of Forecasting, Choice of a method of Forecasting, Theories of Business Forecasting, Cautions while using Forecasting Techniques.

Unit – III

Vital statistics: Introduction, definition and uses of vital statistics. Sources of vital statistics, registration method and census method. Rates and ratios, Crude death rates, age specific death rate, standardized death rates, crude birth rate, age specific fertility rate, general fertility rate, total fertility rate. Measurement of population growth, crude rate of natural increase- Pearl’s vital index. Gross reproductive rate sand Net reproductive rate, Life tables, construction and uses of life tables and Abridged life tables.

Reference Books:

1. V.K.Kapoor and S.C.Gupta : Fundamentals of Applied Statistics. Sultan Chand

2. ParimalMukhopadhyay : Applied Statistics . New Central Book agency.

3. B.L.Agarwal: Basic Statistics. New Age publications.

Practical Paper-VII: Theory Paper VII and Elective VIII A (DSC-2F)

(With 2 HPW, Credits 1 and Marks 25)

Section –A

1. Analysis of CRD

2. Analysis of RBD and Comparison of RBD with CRD with and without missing observation.

3. Analysis of RBD with one missing observation and computation of Critical Difference.

4. Analysis of LSD and Comparison of LSD with RBD with CRD.

5. Analysis of LSD with one missing observation and computation of Critical Difference.

6. Computation of Morality rates and Fertility rates and Construction of complete life tables.

Section –B

7. Solution of L.P. problem by simplex method and reading the solution of the dual problem from Optimal Simplex table.

8. Solution of L.P. problem by Big-M Method.

9. Two-phase simplex method.

10. IBFS for a transportation problem by North-West corner rule, Matrix minimum method and Vogel’s approximation method and also Optimum solution to balanced and unbalanced

transportation problem by MODI method.

11. Optimum solution to balanced and unbalanced Assignment problem by Hungarian method and also Solution of traveling salesman problem.

12. Computation of Optimal Sequence and idle time for N jobs on 2 and 3 machines.

Note: The question paper consists of TWO sections. Section A Consists of 2 Questions from Section A of Practical paper VII and Section B consists of 2 questions from Section B of Practical paper VII.