Group - B

Statistical Applications : Linear Regression And Correlation, Product Moment Correlation, Rank Correlation, Intra-Class Correlation And Correlation Ratio, Multiple And Partial Correlational And Regression For Three Variables. Principles Of Experimental Design, One-Way And Two-Way Analysis Of Variance With Equal Number Of Observations Per Cell, Completely Randomized Design, Randomized Block Design, Latin Square Design, 22 And 23 Factorial Experiments, Missing Plot Technique. Sources Of Demographic Data, Stable And Stationary Populations, Measures Of Fertility And Mortality, Life Tables, Simple Populations, Measures Of Fertility And Mortality, Life Tables, Simple Population Growth Models And Population Projection Techniques. Index Numbers And Their Uses, Index Numbers Due To Laspeyre, Paasche, Marshall-Edgeworth And Fisher, Tests For Index Numbers, Construction For Price Index Number And Cost-Of Living Index Number. Times Series And Its Components, Determination Of Trend And Seasonal Indices, Periodogram And Correlogram Analysis, Variate Difference Method.

Paper - II

Group - A

Statistical Inference : Properties Of Estimators, Consistency, Unbiasedness, Efficiency, Sufficiency And Completeness, Cramer-Rao Bound, Minimum Variance Unbiased Estimation, Rao-Blackwell Theorem. Estimation Procedures, Method Of Moments And Method Of Maximum Likelihood, Properties Of Estimators, Interval Estimation. Simple And Composite Hypotheses, Two Kinds Of Errors, Critical Region, Level Of Significance, Size And Power Function, Unbiased Tests, Most-Powerful And Uniformly Most Powerful Tests, Neyman-Pearson Lemma And Its Applications, Likelihood Ratio Tests. Tests Based On T, X2, Z And F- Distributions, Large Sample Tests, Variance Stabilizing Transformations. Distributions Of Order Statistics And Range, Non-Parametric Tests, Viz.. Sign Test, Median Test, Run Test, Wilcoxon- Mann-Whitneytest.

Group - B

Statistical Management : Nature Of Operations Research Problems, Linear Programming Problem And The Graphical Solution In Simple Cases, Simplex Method,. Dual Of Linear Programming Problem, Allocation And Transportation Problems. Zero Sum Two-Peson Game, Pure And Mixed Strategies, Value Of A Game, Fundamental Theorem, Solution Of 2 X 2 Games. Nature And Scope Of Sample Survey, Sampling Vs. Complete Enumeration, Simple Random Sampling From Finite Populations With And Without Replacement, Stratified Sampling And Allocation Principles, Cluster Sampling With Equal Cluster Size. Ratio, Product And Regression Methods Of Estimation And Double Sampling, Two Stage Sampling With Equal First Stage Units, Systematic Sampling. Statistical-Quality Control, Control Charts For Variables And Attributes -(,R), (-S) P.N.P. And C Charts. Acceptance-Sampling, Oc, Asn And Ati Curves, Producer’s Risk And Consumer’s Risk, Concept Of Aql, Aoql And Ltpd, Single And Double Sampling Plans. Scaling Procedures, Scaling Of Test Items, Test Scores, Qualitative Judgements, Theory Of Tests, Parallel Tests, True Score, Reliability And Validity Of Tests.