# Madhya Pradesh Public Service Commission (MPSC) Prelim - Statistics Syllabus

Updated on: Mar 22, 2013

Statistics syllabus of Madhya Pradesh Public Service Commission (MPPSC) Prelim exam is given here.

Statistical Inference- Requirements of good estimate-unbiasedness, consistency, sufficiency and efficiency, Cramer -Rao inequality. Methods of estimation- method of moments, method of maximum likelihood.Properties of maximum likelihood estimates (Without proof) confidence intervals.

Simple and composite hypotheses, statistical tests, critical region, two kinds of error, Neyman Pearson lemma and its applications for constructing tests for one parameter.

Tests of significance based on F and chi-square (x2) statistics.

Attempt any five questions choosing at least two from each section. Four questions of equal weight age be set in each section.

Sampling techniques -Nature and scope of sampling, simple random sampling .estimation of ratio and proportion. stratified sampling, systematic sampling, sampling and non-sampling errors, planning and organisation of sample service.

Design of Experiments- Analysis of variance for one Way, two way and three way classifications. Principles of experimental designs, completely randomized design, Randomized block design.Latin square design, missing plot

techniques (one missing observation).

Index Numbers- Definition, construction, interpretation and limitations of index numbers Lespoyre, Passche, Edge -Wonh-Marshall and Fisher index numbers. tests for index numbers and construction of cost of living index number.

Concepts of quality and meaning of control .Different types of control charts (X,R,-P,n,p,c) sampling inspection versus 100% inspection, single sequential sampling plan , O.C.,A.S.N. and T.I. curves. Concepts of producer's and consumers risk. -

Vital rates and ratios, crude death and birth rates. specific birth and death rates, standardized death rate, infant mortality rate, life table description and uses. General fertility rate, total fertility rate. Gross and net reproduction rates. Indian census.

PAPER IPAPER I

**Note**- Attempt any five questions choosing at least two from each section. Four questions of equal weight age be set in each section.**SECTION-l****Statistical Methods**- Measures of centraltendency, dispersion, skewness and kurtosis, measures of association and contingency, correlation and regression, partial and multiple correlation, rank correlation, curve fitting.**- Sample space and events. Theorems on probability, statistical independence, Bayes theorem, discrete and continuous random variables, probability mass function, probability density function, distribution function bivariate distribution, marginal and conditional distributions, expectation moments, moment generating, function, Chebyshev's inequality, Binomial, Poisson, Hypergeo-metric. Negative binomial, uniform, exponential, gamma, Beta, normal and bivariate normal probability distributions. Convergence in probability, weak law of large numbers and simple form of central limit theorem (without proof)**

ProbabilityProbability

**SECTION-II**Statistical Inference- Requirements of good estimate-unbiasedness, consistency, sufficiency and efficiency, Cramer -Rao inequality. Methods of estimation- method of moments, method of maximum likelihood.Properties of maximum likelihood estimates (Without proof) confidence intervals.

Simple and composite hypotheses, statistical tests, critical region, two kinds of error, Neyman Pearson lemma and its applications for constructing tests for one parameter.

Tests of significance based on F and chi-square (x2) statistics.

**PAPER-II**Attempt any five questions choosing at least two from each section. Four questions of equal weight age be set in each section.

SECTION-ISECTION-I

Sampling techniques -Nature and scope of sampling, simple random sampling .estimation of ratio and proportion. stratified sampling, systematic sampling, sampling and non-sampling errors, planning and organisation of sample service.

Design of Experiments- Analysis of variance for one Way, two way and three way classifications. Principles of experimental designs, completely randomized design, Randomized block design.Latin square design, missing plot

techniques (one missing observation).

**SECTION. II**Index Numbers- Definition, construction, interpretation and limitations of index numbers Lespoyre, Passche, Edge -Wonh-Marshall and Fisher index numbers. tests for index numbers and construction of cost of living index number.

**Statistical Quality Control :**Concepts of quality and meaning of control .Different types of control charts (X,R,-P,n,p,c) sampling inspection versus 100% inspection, single sequential sampling plan , O.C.,A.S.N. and T.I. curves. Concepts of producer's and consumers risk. -

Vital Statistics:-

Vital Statistics:-

Vital rates and ratios, crude death and birth rates. specific birth and death rates, standardized death rate, infant mortality rate, life table description and uses. General fertility rate, total fertility rate. Gross and net reproduction rates. Indian census.