Short Summary
RAJASTHAN PUBLIC SERVICE COMMISSION, AJMER
SYLLABUS AND EXAMINATION PLANNING THE POST OF ASSISTANT STATISTICAL OFFICER
(AGRICULTURE DEPARTMENT)
EXAMINATION PATTERN:
Pattern of Question Paper:
1. Objective Type Paper.
2. Maximum Marks:100
3. Number of Questions:100
4. Duration of Paper: Two Hours.
5. All Questions carry equal marks.
6. There will be Negative Marking.
:SYLLABUS OF EXAMINATION:
(1) Classification, tabulation and frequency distribution.
(2) Diagrammatic and Graphical Representation: Bar diagram, Pie chart, histogram, frequency polygon, frequency curve.
(3) Measures of central tendency: Arithmetic mean, geometric mean, harmonic mean, median, mode, quartiles, deciles and percentiles.
(4) Measures of Dispersion, Skewness & Kurtosis: Range, quartile deviation, mean deviation standard deviation, variance, coefficient of variation, moments, measures of skewness and kurtosis.
(5) Elementary Probability: Classical and statistical definition of probability, addition and multiplication theorems of probability, conditional probability and Bayes theorem.
(6) Random variables, Mathematical expectation and Probability distributions: Probability mass function, Probability density function and their properties. Concept of moment generating function, cumulant generating function and characteristic function. Discrete probability distributions: Bernoulli, binomial, Poisson, negative binomial, geometric and hypergeometric. Continuous probability distributions: Rectangular, normal, gamma and beta type one and type two and cauchy. Sampling distributions: Chi-square, t-distribution, F-distribution and their applications.
(7) Correlation and Regression: Karl- Pearson’s coefficient of correlation and Spearman’s rank correlation coefficient, simple linear regression, method of least squares.
(8) Sampling methods: Simple random sampling with and without replacement, stratified random sampling, cluster sampling, systematic sampling, sampling for proportions.
(9) Experimental Design: Concept of analysis of variance (ANOVA) for one way and two way classified data, transformation of data, uniformity trials, principles of design of experiments. Completely randomised design (CRD), Randomised block design (RBD), Latin square design (LSD), missing plot technique, 22 & 23 factorial experiments in RBD, complete and partial confounding.
(10) Time Series: Components , measurement of trend, measurement of seasonal variations, problem of autocorrelation and its remedies.
(11) Theory of estimation and Testing of Hypotheses: Point and interval estimation, properties of estimators, methods of estimation-method of least squares and maximum likelihood estimation. Confidence interval and confidence limits. Concept of hypotheses, types of errors, Neyman- Pearson’s lemma, parametric tests for large and small samples. Non-parametric tests- run, sign and median.
(12) Agriculture Statistics and Statistical Organisations in India: Importance of agriculture statistics, agricultural statistical systems in India, Agricultural census, Livestock census, Agriculture survey, National Agricultural production Index, CSO, NSSO and National Income.
(13) Statistical Genetics: Physical basis in inheritance, analysis of segregation, detection and estimation of linkage for qualitative characters, genetic variance and its partitioning, correlation between relatives heritability, repeatability and genetic correlation.
(14) Interpolation, Extrapolation and Numerical Integration: Finite differences, divided differences, Newton’s forward and backward interpolation , Newton’s divided difference interpolation & Lagrange’s interpolation. Simpson’s ⅓rd and ⅜th rule of numerical integration.
