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UPSC IFOS Statistics Paper I Syllabus

Indian Forest Service Examination

4
Topics
39
Sub-topics
8
Questions

Statistics Paper I is one of 32 sections in the UPSC IFOS syllabus. It has 4 topics and 39 sub-topics, tested in Main Examination, with about 8 questions (200 marks). Optional subject, Paper I (200 marks, 3 hours, conventional essay type, answered in English). The paper has 8 questions in Parts A and B; candidates attempt 5, including one compulsory question from each part. Candidates choose any two of the 14 optional subjects..

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UPSC IFOS Statistics Paper I: topic-wise syllabus

  1. 1

    Probability

    • Sample space, probability measure and random variables
    • Distribution, mass and density functions
    • Marginal and conditional distributions
    • Expectation, moments and conditional expectation
    • Modes of convergence and Borel-Cantelli lemma
    • Laws of large numbers
    • Generating and characteristic functions
    • Central limit theorem
    • Standard probability distributions
    • Finite Markov chains
  2. 2

    Statistical Inference

    • Consistency, unbiasedness, efficiency and sufficiency
    • UMVU estimation and Rao-Blackwell theorem
    • Cramer-Rao inequality and its extensions
    • Methods of estimation including maximum likelihood
    • Bayes estimators
    • Neyman-Pearson lemma and UMP tests
    • Likelihood ratio and chi-square tests
    • Confidence bounds
    • Non-parametric tests
    • Wald's SPRT and sequential estimation
  3. 3

    Linear Inference and Multivariate Analysis

    • Linear models and least squares
    • Analysis of variance and Gauss-Markoff theory
    • Regression and correlation
    • Regression diagnostics
    • Variance components and MINQUE
    • Multivariate normal distribution
    • Mahalanobis D2 and Hotelling's T2
    • Discriminant analysis and MANOVA
    • Principal components and factor analysis
  4. 4

    Sampling Theory and Design of Experiments

    • Fixed-population and super-population approaches
    • Simple random, stratified and systematic sampling
    • Cluster, multi-stage and two-phase sampling
    • Ratio and regression estimation
    • PPS sampling and Horvitz-Thompson estimator
    • Non-sampling errors and randomized response
    • CRD, RBD and LSD
    • Incomplete block designs and BIBD
    • Factorial designs and confounding
    • Split-plot and lattice designs

Frequently asked questions

What topics are in the UPSC IFOS Statistics Paper I syllabus?

Statistics Paper I for UPSC IFOS has 4 topics: Probability, Statistical Inference, Linear Inference and Multivariate Analysis and Sampling Theory and Design of Experiments, with 39 sub-topics in all.

How many questions come from Statistics Paper I in UPSC IFOS?

About 8 questions (200 marks) in Main Examination. Always check the latest notification, as numbers can change.

How do I practise UPSC IFOS Statistics Paper I on Topicly?

Pick a topic above and study it your way — step-by-step chat, a quiz, a formula sheet or a voice call with Sia. Topicly tracks each sub-topic so you know what's left. It's free to start.

A study guide, not an official notice. Always confirm with the conducting body's latest notification. See the full exam page for any recorded source, check date and coverage limits.