GATE Statistics Syllabus And Exam Pattern 2022

GATE Statistics Syllabus 2022: IIT Kharagpur is the conducting authority for GATE Exam 2022. To plan and prepare properly for the exam, you must have latest GATE Syllabus 2022 and exam pattern.

The syllabus includes all the major topics of the graduate level but does not include Engineering Mathematics as a topic.The most important Topic in the GATE Statistics Syllabus is Probability as it comprises almost 20% of the total weightage in the GATE Paper.

To know more about the GATE Statistics Syllabus and Exam Pattern 2022, read the whole blog.

GATE Statistics Syllabus 2022

GATE Statistics Syllabus 2022 consists of 9 different sections, Calculus, Matrix Theory, Probability, Stochastic process, Estimation, Testing of hypothesis, Nonparametric Statistics, Multivariate Analysis and Regression Analysis.

Candidates with Statistics (ST) as their first paper can only opt one paper from either Mathematics (MA) or Physics (PH) as their second paper. However, it is not mandatory that you have to appear for 2 papers.

Here you can check detailed GATE Statistics Syllabus 2022.

Section 1: Calculus

  • Finite, countable and uncountable sets; Real number system as a complete ordered field, Archimedean property; Sequences of real numbers, convergence of sequences, bounded sequences, monotonic sequences
  • Cauchy criterion for convergence; Series of real numbers, convergence, tests of convergence, alternating series, absolute and conditional convergence; Power series and radius of convergence; Functions of a real variable
  • Limit, continuity, monotone functions, uniform continuity, differentiability, Rolle’s theorem, mean value theorems, Taylor’s theorem, L’ Hospital rules, maxima and minima, Riemann integration and its properties, improper integrals; Functions of several real variables: Limit, continuity, partial derivatives, directional derivatives, gradient, Taylor’s theorem, total derivative, maxima and minima, saddle point, method of Lagrange multipliers, double and triple integrals and their applications.

Section 2: Matrix Theory

  • Subspaces of Rnn and Cnn, span, linear independence, basis and dimension, row space and column space of a matrix, rank and nullity, row reduced echelon form, trace and determinant, inverse of a matrix, systems of linear equations; Inner products in Rnn and Cnn, Gram-Schmidt orthonormalization
  • Eigenvalues and eigenvectors, characteristic polynomial, Cayley-Hamilton theorem, symmetric, skew-symmetric, Hermitian, skew-Hermitian, orthogonal, unitary matrices and their eigenvalues, change of basis matrix, equivalence and similarity, diagonalizability, positive definite and positive semi-definite matrices and their properties, quadratic forms, singular value decomposition.

Section 3: Probability

  • Axiomatic definition of probability, properties of probability function, conditional probability, Bayes’ theorem, independence of events; Random variables and their distributions, distribution function, probability mass function, probability density function and their properties, expectation, moments and moment generating function, quantiles, distribution of functions of a random variable, Chebyshev, Markov and Jensen inequalities.
  • Standard discrete and continuous univariate distributions: Bernoulli, binomial, geometric, negative binomial, hypergeometric, discrete uniform, Poisson, continuous uniform, exponential, gamma, beta, Weibull, normal.
  • Jointly distributed random variables and their distribution functions, probability mass function, probability density function and their properties, marginal and conditional distributions, conditional expectation and moments, product moments, simple correlation coefficient, joint moment generating function, independence of random variables, functions of random vector and their distributions, distributions of order statistics, joint and marginal distributions of order statistics; multinomial distribution, bivariate normal distribution, sampling distributions: central, chi-square, central t, and central F distributions.
  • Convergence in distribution, convergence in probability, convergence almost surely, convergence in r-th mean and their inter-relations, Slutsky’s lemma, Borel-Cantelli lemma; weak and strong laws of large numbers; central limit theorem for i.i.d. random variables, delta method.

Section 4: Stochastic Processes 

  • Markov chains with finite and countable state space, classification of states, limiting behaviour of n-step transition probabilities, stationary distribution, Poisson process, birth-and-death process, pure-birth process, pure-death process, Brownian motion and its basic properties.

Section 5: Estimation

  • Sufficiency, minimal sufficiency, factorization theorem, completeness, completeness of exponential families, ancillary statistic, Basu’s theorem and its applications, unbiased estimation, uniformly minimum variance unbiased estimation, Rao-Blackwell theorem, Lehmann-Scheffe theorem
  • Cramer-Rao inequality, consistent estimators, method of moments estimators, method of maximum likelihood estimators and their properties; Interval estimation: pivotal quantities and confidence intervals based on them, coverage probability.

Section 6: Testing of Hypotheses

  • Neyman-Pearson lemma, most powerful tests, monotone likelihood ratio (MLR) property, uniformly most powerful tests, uniformly most powerful tests for families having MLR property, uniformly most powerful unbiased tests, uniformly most powerful unbiased tests for exponential families, likelihood ratio tests, large sample tests.

Section 7: Non-parametric Statistics

  • Empirical distribution function and its properties, goodness of fit tests, chi-square test, Kolmogorov-Smirnov test, sign test, Wilcoxon signed rank test, Mann-Whitney U-test, rank correlation coefficients of Spearman and Kendall.

Section 8: Multivariate Analysis

  • Multivariate normal distribution: properties, conditional and marginal distributions, maximum likelihood estimation of mean vector and dispersion matrix, Hotelling’s T2 test, Wishart distribution and its basic properties, multiple and partial correlation coefficients and their basic properties.

Section 9: Regression Analysis

  • Simple and multiple linear regression, R2 and adjusted R2 and their applications, distributions of quadratic forms of random vectors: Fisher-Cochran theorem, Gauss-Markov theorem, tests for regression coefficients, confidence intervals.

Download GATE Statistics Syllabus 2022 PDF

GATE Statistics Syllabus 2022 On General Aptitude 

Subject GATE Statistics Syllabus 2022
Verbal Aptitude English grammar – articles, verb-noun agreement, tenses, adjectives, conjunctions, prepositions, other parts of speech etc.; vocabulary – words, phrases, idioms; comprehension & reading; narrative sequencing.
Analytical Aptitude Logic – Induction & Deduction; analogy; number relations & reasoning.
Spatial Aptitude Shape transformation – mirroring, rotation, translation, grouping, assembling, and scaling; Paper cutting, folding & 2-D and 3-D patterns.
Numerical Aptitude Elementary statistics & probability; geometry; data and graphs (bar graph, histogram, pie chart, and other data graphs), 2- and 3- dimensional plots, maps, and tables; mensuration; numerical computation & estimation – powers, exponents, percentages, permutations & combinations, ratios, logarithms, etc.

GATE Statistics Exam Pattern 2022

Here you can check GATE Statistics Exam Pattern 2022.

Examination Mode Computer Based Test (CBT)
Duration 3 Hours (180 Minutes)
Sectional Time Limit None
Total Marks 100
Total Number of questions 65
Number of Subjects (Papers) 27
Number of Sections* 2-3 (General Aptitude and Core Discipline or General Aptitude, Engineering Mathematics* and Core Discipline)
Type of Questions Multiple Choice Questions (MCQ);
Multiple Select Questions (MSQ);
Numerical Answer Type (NAT) Questions
Total Number of Questions 65 Questions
Total Marks 100 Marks
Marking Scheme 1 or 2 marks for each correct answer
Negative Marking For 1 mark MCQ, 1/3 mark will be deducted for a wrong answer;
For 2-mark MCQ, 2/3 mark will be deducted for a wrong answer;
No negative marking for MSQs and NATs

GATE Ecology and Evolution Marking Scheme 2022

Type of question Negative marking for wrong answer Marking for correct answer
MCQs
  • ⅓ for 1 mark questions.
  • ⅔ for 2 marks questions.
1 or 2 marks
NATs No negative marking  1 or 2 marks

Topic-wise Weightage For GATE Statistics Syllabus 2022

Here you can check Topic-wise Weightage For GATE Statistics Syllabus 2022.

Important Topics Weightage in terms of Question asked
Calculus 15
Probability 20
Multivariate Analysis 10
Linear Equations 15
Matrix Theory  8
Estimation  8
Stochastic process 8
Testing of Hypotheses 8
Regression Analysis 8

Reference Books Based On Latest GATE Statistics Syllabus 2022

You must select the correct books to study for GATE 2022 preparation. You can check the list of referred books for Statistics. By referring to these books, you can boost your preparation process.

Name of Books Author/Publication
Programmed Statistics B. L. Agarwal
Fundamentals of Statistics S. C. Gupta
Using Multivariate Statistics Barbara G. Tabachnick & Linda S. Fidell
Mathematical Statistics J. N. Kapur & S. C. Saxena (S. Chand Publications)
Thomas’ Calculus George B. Thomas, Joel Hass, and Christopher Heil
Probability – Random Variables and Stochastic Processes Athanasios Papoulis
Miller & Freund’s Probability and Statistics for Engineers Richard A. Johnson, Irwin Miller & John Freunds
An Introduction to Numerical Methods and Analysis James F. Epperson
Comprehensive English Grammar & Composition S. C. Gupta
Quantitative Aptitude Numerical Ability Kiran’s Publications
A Modern Approach to Logical Reasoning R. S. Aggarwal
A New Approach to Reasoning: Verbal, Non-Verbal, Analytical Arihant Publications
Now you have a detailed guide on GATE Statistics Syllabus and Exam Pattern 2022. To know more about the GATE Statistics 2022 Exam, ask in the comment section.

FAQs on GATE Statistics Syllabus and Exam Pattern 2022

Here you can check FAQs on GATE Statistics Syllabus and Exam Pattern 2022.

How many main topics are discussed in the GATE ST Syllabus 2022?

The GATE ST Syllabus 2022 constitutes nine main sections. They are Calculus, Matrix Theory, Probability, Stochastic Processes, Estimation, Testing of Hypotheses, Non-Parametric Statistics, Multivariate Analysis and Regression Analysis.

What are the total marks for GATE Statistics Syllabus?

The GATE statistics amount to 100 marks, 10 Marks from the General Aptitude section and 85 Marks from the subject section.

What are the sub-topics covered under the “Non-parametric Statistics” section of the GATE Syllabus for Statistics?

The topics covered under the “Non-parametric Statistics” section of the syllabus are Empirical distribution function and its properties, goodness of fit tests, chi-square test, Kolmogorov-Smirnov test, sign test, Wilcoxon signed rank test, Mann-Whitney U-test, rank correlation coefficients of Spearman and Kendall.

Do I need to prepare for the Engineering Mathematics section while preparing for the GATE Statistics syllabus 2022?

No. There is no need to prepare for the Engineering Mathematics section if you are preparing for the GATE Statistics syllabus 2022 because engineering mathematics is not part of the Statistics syllabus.

What are the major topics that I need to cover in the GATE Statistics syllabus 2022? 

The major topics that you need to cover in GATE Statistics syllabus are mentioned below:
General Aptitude
Calculus
Linear Algebra
Probability
Stochastic Processes
Inference
Regression Analysis
Multivariate Analysis
Design of Experiments 

What will be the weightage of important sections in GATE Statistics syllabus 2022? 

The weightage of section is mentioned below:
General Aptitude – 15%
Statistics Syllabus (All Topics) – 85%
This means out of 65 questions 10 questions will be asked from General aptitude and remaining 55 questions from core subject syllabus. 

Which is the most important topic in the GATE Statistics Syllabus 2022?

The most important Topic in the GATE Statistics Syllabus is Probability as it comprises almost 20% of the total weightage. Calculus is the next important topic with 15% weightage.

Is there any negative marking for GATE numerical answer type questions in GATE Statistics Syllabus 2022?

No, there is no negative marking for numerical answer type questions asked in GATE Statistics Syllabus.MCQs do have negative marking as ⅓ for each 1 Marks question and ⅔ for each wrong 3 marks question.

What is the negative marking for a wrong answer for the 1-mark question in GATE 2022?

A candidate will lose ⅓ marks for every wrong answer to the 1-mark question in GATE 2022.

What is the subject code for GATE Statistics?

The paper code for GATE Statistics is ST.

What are the sub-topics included in the Matrix Theory of the GATE Statistics Syllabus 2022?

The sub-topics included in the Matrix Theory of the GATE Statistics Syllabus 2022 are:
Subspaces of Rnn and Cnn, span, linear independence, basis and dimension, row space and column space of a matrix, rank and nullity, row reduced echelon form, trace and determinant, inverse of a matrix, systems of linear equations; Inner products in Rnn and Cnn, Gram-Schmidt orthonormalization
Eigenvalues and eigenvectors, characteristic polynomial, Cayley-Hamilton theorem, symmetric, skew-symmetric, Hermitian, skew-Hermitian, orthogonal, unitary matrices and their eigenvalues, change of basis matrix, equivalence and similarity, diagonalizability, positive definite and positive semi-definite matrices and their properties, quadratic forms, singular value decomposition.

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