A combined competitive examination for recruitment to Grade IV of the Services (Indian Economic Service and Indian Statistical Service) will be held by the Union Public Service Commission in accordance with the Rules published by the Ministry of Statistics & Programme Implementation in the Gazette of India.
Name of the Post & Number of Vacancies
- Indian Economic Service: 19 vacancies
- Indian Statistical Service: 46 vacancies
The examination shall be conducted according to the following Plan:
- Written examination carrying a maximum of 1000 marks in the following subjects.
- Viva voce of such candidates as may be called by the Commission, carrying a maximum of 200 marks.
Indian Statistical Service (IES) Written Exam:
- General English (100 marks, 3 hours)
- General Studies (100 marks, 3 hours)
- General Economics- I (200 marks, 3 hours)
- General Economics- II (200 marks, 3 hours)
- General Economics- III (200 marks, 3 hours)
- Indian Economics (200 marks, 3 hours)
Statistics-II
- Linear Models: Theory of linear estimation. Gauss-Markoff setup. Least square estimators. Use of ginverse. analysis of one-way and two way classified data-fixed, mixed and random effect models. Tests for regression coefficients.
- Estimation: Characteristics of good estimator. Estimation methods of maximum likelihood, minimum chi-square, moments and least squares. Optimal properties of maximum likelihood estimators. Minimum variance unbiased estimators. Minimum variance bound estimators. Cramer- Rao inequality. Bhattacharya bounds. Sufficient estimator. factorisation theorem. Complete statistics. Rao- Blackwell theorem. Confidence interval estimation. Optimum confidence bounds. Resampling, Bootstrap and Jacknife.
- Hypotheses testing and Statistical Quality Control
a) Hypothesis testing: Simple and composite hypothesis. Two kinds of error. Critical region. Different types of critical regions and similar regions. Power function. Most powerful and uniformly most powerful tests. Neyman-Pearson fundamental lemma. Unbiased test. Randomised test. Likelihood ratio test. Wald's SPRT, OC and ASN functions. Elements of decision and game theory.
b) Statistical Quality Control: Control Charts for variable and attributes. Acceptance Sampling by attributes-Single, double, multiple and sequential Sampling plans; Concepts of AOQL and ATI; Acceptance Sampling by variables-use of Dodge-Romig and other tables. - Multivariate Analysis: Multivariate normal distribution. Estimation of mean Vector and covariance matrix. Distribution of Hotelling's T2-statistic, Mahalanobis's D2-statistic, and their use in testing. Partial and multiple correlation coefficients in samples from a multivariate normal population. Wishart's distribution, its reproductive and other properties. Wilk's criterion. Discriminant function. Principal components. Canonical variates and correlations.