IES ISS 2019 Statistics Paper II Question Paper PDF

Central Government Jobs Other Jobs 2019

  • Year 2019
  • Conducted By UPSC
  • Questions 80
  • Maximum Marks 200
  • Duration Two Hours

Exam Details

Detail Information
Examination Indian Economic Service and Indian Statistical Service Examination
Year 2019
Conducting Body UPSC
Paper Statistics Paper II
Subject Statistics
Duration Two Hours
Maximum Marks 200
Number of Questions 80
Question Type Objective (MCQ)

This is the Statistics Paper II question paper for the Indian Economic Service and Indian Statistical Service Examination held in 2019 by UPSC. The paper is objective in nature, carrying a maximum of 200 marks and a duration of two hours. It contains 80 questions designed to test the candidates' knowledge in Statistics. This paper is crucial for aspirants preparing for the IES ISS examination, providing valuable insights into the exam pattern, difficulty level, and important topics. Practicing with previous year papers like this one is essential for effective preparation and improving performance.

Major Topics Covered

  • Statistics
  • Parametric Function Estimation
  • Least Squares Estimate
  • ANOVA Table
  • Uncorrelated Observations

Why This Paper is Important

  • Useful for Indian Economic Service and Indian Stati preparation
  • Helps understand the latest exam pattern
  • Useful for practice and self-assessment
  • Covers frequently asked General Studies topics
  • Helpful for analysing question trends

Related Resources

  • IES ISS 2020 Statistics Paper II
  • IES ISS 2019 Statistics Paper I
  • UPSC Statistics Optional Paper
  • IES ISS 2019 Statistics Paper II Answer Key
  • IES ISS Statistics Syllabus
  • UPSC Exam Syllabus
  • IES ISS Exam Pattern
  • UPSC Exam Pattern

Instructions

  • THIS TEST BOOKLET DOES NOT HAVE ANY UNPRINTED OR TORN OR MISSING PAGES OR ITEMS, ETC.
  • IF SO, GET IT REPLACED BY A COMPLETE TEST BOOKLET.
  • Please note that it is the candidate's responsibility to encode and fill in the Roll Number and Test
  • Booklet Series Code A, B, C or D carefully and without any omission or discrepancy at the appropriate places in the OMR Answer Sheet.
  • Any omission/discrepancy will render the Answer Sheet liable for rejection.
  • You have to enter your Roll Number on the
  • Test Booklet in the Box provided alongside.
  • DO NOT write anything else on the Test Booklet.
  • This Test Booklet contains 80 items (questions).
  • Each item comprises four responses (answers).
  • will select the response which you want to mark on the Answer Sheet.
  • In case you feel that there is more than one correct response, mark the response which you consider the best.
  • In any case, choose ONLY ONE response for each item.
  • You have to mark all your responses ONLY on the separate Answer Sheet provided.
  • Before you proceed to mark in the Answer Sheet the response to various items in the Test Booklet,
  • you have to fill in some particulars in the Answer Sheet as per instructions sent to you with your Admission Certificate.
  • After you have completed filling in all your responses on the Answer Sheet and the examination has
  • concluded, you should hand over to the Invigilator only the Answer Sheet.
  • You are permitted to take away with you the Test Booklet.
  • Sheets for rough work are appended in the Test Booklet at the end.
  • Penalty for wrong answers: THERE WILL BE PENALTY FOR WRONG ANSWERS MARKED BY A CANDIDATE IN THE OBJECTIVE TYPE QUESTION PAPERS.
  • There are four alternatives for the answer to every question.
  • For each question for which a wrong answer (i) has been given by the candidate, one-third of the marks assigned to that question will be deducted as penalty.
  • If a candidate gives more than one answer, it will be treated as a wrong answer even if one of the given (ii) answers happens to be correct and there will be same penalty as above to that question.
  • (iii) If a question is left blank, i.e., no answer is given by the candidate, there will be no penalty for that question.
  • DO NOT OPEN THIS TEST BOOKLET UNTIL YOU ARE TOLD TO DO SO

Questions (page 2)

Q1. If y1, y2, y3 and y4 are independent with E(y1) = E(y2) = (θ_1 + θ_2), E(y3) = E(y4) = (θ_1 + θ_3), and V(yi) = σ^2, i = 1, 2, 3 and 4. For estimability of parametric function lT θ = l1θ_1 + l2θ_2 + l3θ_3, consider the following conditions :

  • (1) l1 = l2 + l3
  • (2) l2 = l1 + l3
  • (3) l3 = l1 + l2
  • (a) 1 only
  • (b) 2 only
  • (c) 3 only
  • (d) 1, 2 and 3

Q2. Let an n × 1 vector y \sim N(Xβ, σ^2 I) where X is an n × p matrix. Let H = (hij) = X(XT X)-1 XT be an n × n matrix. Let e = y - \haty; \haty = X\hatβ be the n × 1 residual vector where \hatβ is the least squares estimate of β. Then which one of the following is not correct ?

  • (a) Rank(H) = p
  • (b) 0 < hii < 1; 1 ≤ i ≤ n
  • (c) V(\haty) = σ^2 H
  • (d) Cov(ei, ej) = σ^2 hij

Q3. For n observations (x1, y1), (x2, y2), dots, (xn, yn) two models were fitted.

  • (1) yi = α + β xi + error; i = 1, 2, dots, n
  • (2) yi = α + β xi + γ xi2 + error; i = 1, 2, dots, n

Q4. Let Y1, Y2, Y3 and Y4 be uncorrelated observations. It is given that

  • (1) E(Y1) = β_1 + β_2 + β_3 = E(Y2)
  • (2) V(Yi) = σ^2; i = 1, 2, 3, 4

Q5. Consider the following ANOVA table :

  • (treatment) w
  • (error) 12
  • (total) 14
  • (a) 2, 261, 130.5, 300
  • (b) 2, 300, 150, 261
  • (c) 2, 250, 125, 311
  • (d) 2, 311, 155.5, 250

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Frequently asked questions

What is the name of the exam for which this question paper is?

This question paper is for the Indian Economic Service and Indian Statistical Service Examination.

What is the year of this examination paper?

The year of this examination paper is 2019.

Which conducting body released this paper?

The paper was released by UPSC (Union Public Service Commission).

What is the subject of this paper?

The subject of this paper is Statistics, specifically Paper II.

What is the maximum marks for this paper?

The maximum marks for this paper is 200.

What is the time allowed for this paper?

The time allowed for this paper is Two Hours.

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