About the paper:

The examination and the paper both are considered quite important and respectable amongst the students. Karnataka public Service commission is not an easy examination to ncr5ack and one has to be very particular with their preparation. Choosing a suitable subject for the mains examination is also an important task as far as preparation is concerned. There are plenty of papers that are offered to the students and the students are supposed to choose any 2. Amongst these subjects Statistics is one of the subjects that are chosen widely.

Kind of questions asked:

Questions are asked almost from every part of the syllabus. The questions are straight forward, but requires great concept on the topics.

Syllabus:

I. Sampling Theory and Design of Experiments.

Nature and scope of Sampling, simple random sampling, sampling from finite populations with and without replacement, estimation of the standard errors sampling with equal probabilities and PPS Sampling. Stratified random and systematic sampling two stage and multistage sampling. Multiphase and cluster sampling schemes.Estimation of population total and mean, use of biased and unbiased estimates auxiliary variables, double sampling standard errors of estimates cost and variancefunctions ratio and regression estimates and their relative efficiency. Planning and organization of sample surveys with special reference to recent large scale surveys conducted in India. Principles of experimental designs, CRD, RED, LSD, missing plot technique factorial experiments 2n and 3n design general theory of total and partial confounding and fractional replication. Analysis of split plot, BIB and simple lattice designs.

II. Engineering Statistics :

Concepts of quality and meaning of control. Different types of control charts like X-R charts, P charts np charts and cumulative sum control charge.Sampling inspection Vs 100 percent inspections. Single, double, multiple and sequential sampling plans for attributes inspection, CC, ASM, and ATI, curves, Concept of producer’s risk and consumer’s risk. AQL, AQQL, LTPD etc. Variable sampling plants.Definition of Reliability, maintainability and availability. Live distribution failure rate and both-tub, failure curve exponential and Welbull model. Reliability of series and Parallel systems and other simple configurations. Different types of redundancy like hot and cold and use of redundancy In reliability Improvement problem In life testing,censored and truncated experiments for exponential model,

III. Operational Research :

Scope and definition of OR different types of models, their construction and obtaining solution.Homogenous discrete time Markov chains, transition probability martris,classification of states and ergodic theorems. Homogenous continuous time Markov chains. Elements of queuing theory, M/M/I and M/M/K queues, the problem of machine interference and GI/M/I and M/GI queues Concept of Scientific inventory management and analytical structure of inventory problems Simple models with determinist and stochastic demand with and without leadtime. Storage models with particular reference to dam type.The structure and formation of a linear programming problem.The simplex procedure two phase methods and charnes - Method with artificial variables. its economic interpretation Sensitivity analysis.Transportation and Assignment problems.Replacement of items that fail and those that deteriorate group and individual replacement policies. Introduction to computers and elements of Fortran IV programming formats forinput and output statements specification and logical  statements and sub-routines.Application to some simple statistical problems.

IV. Quantitative Economics :

Concept of time series, additive and multiplicative models, resolution into; four components, determination of trend by freehand drawing, moving averages, and fitting of mathematical curves, seasonal indices and estimate of the variance of the random components.

Definition, construction, interpretation, and limitations of index numbers, Lespeyre Parsche Edgewoth Marshall and Fisher index numbers their comparisons tests for Index numbers and construction of cost of living index.Theory and analysis of consumer demand  specification and estimation of demand function. Demand elasticities. Theory of production, supply functions and elasticities, input demand functions. Estimation of parameters in single equation model, classicalleast squares, generalized least squares, heterscedasticity, serial correlation,muticollinearity, errors in variables model, simultaneous equation models-identification,rank and order conditions.Indirect least squares and two; sage least squares. Short-term economic forecasting.

V. Demography and Psychometry:

Sources of demographic data : census registration : NSS and other demographic surveys. Limitation and uses of demographic data. Vital rates and ratios : Definition, construction and uses.

Time allotted:

The time duration for the students to answer the paper is 3 hours.

Maximum marks:

The maximum marks that one can fetch out of the paper are 300. These 300 marks are divided in 4 sections.

Paper pattern:

As mentioned above, the paper is divided in to 4 sections. The first section A has 4 questions of 5 marks each summing the section to be of 20 marks. The second section B is of 100 marks with 10 questions of 10 marks each. The third and the fourth section are both of 90 marks. The third section C has 6 questions of 15 marks each. The final section has every question of 30 marks, and there are all together 5 such questions. Candidates are asked to answer only 3 out of the given 5 questions in this section.

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