# M.Sc Statistics Syllabus and Subjects

Duration

2 Years

Average Fees

INR 5,000-65,000 PA

Updated on Jul 10, 2023 by Roumik Roy

Updated on Jul 10, 2023 by Roumik Roy

The MSc Statistics syllabus consists of theoretical and practical knowledge of mathematical methods used to analyze and report data. The MSc Statistics subjects cover topics such as distribution theory, measure theory and probability, matrix algebra and numerical analysis, computer programming, inference, linear models and regression analysis, and sample surveys.

M.Sc Statistics syllabus is well-designed and provides industry-oriented expertise. Hence, the job scope of M.Sc Statistics is extensive across various sectors based on education, forestry, agriculture, biology, medicine, business, etc.

Table of Content

## Semester Wise MSc Statistics Syllabus

The M.Sc Statistics syllabus covers a wide range of topics, such as distribution theory, measure theory and probability, matrix algebra and numerical analysis, computer programming, inference, linear models and regression analysis, and sample surveys. The following is the semester-wise MSc Statistics syllabus:

### First-Year MSc Statistics Syllabus

The subjects in the 1st Year M.Sc Statistics Syllabus are given below:

 Semester I Semester II Analysis and Linear Algebra Statistical Inference Distribution Theory Design of Experiments Probability Theory Regression Analysis Sampling Techniques Stochastic Processes Linear Algebra Theory of Estimation Elective Elective

Practical Topics in the First-Year M.Sc Statistics Subjects

The syllabus of MSc Statistics includes laboratory sessions that will enhance their understanding of theory. Some of the practical Topics in the 1st-year M.Sc Statistics subjects are given below:

• Statistical Computing - Computer representation of numbers, Errors. Bitwise operations. The C Preprocessor, Macros
• Data Analysis - Study of convergence of sequence through plotting
• Problem-Solving Using C Language - Problems based on the solution of a system of linear equations.

### Second-Year M.Sc Statistics Syllabus

The subjects in the 2nd Year MSc Statistics Syllabus are given below:

 Semester III Semester IV Multivariate Analysis Econometrics and Time Series Analysis Generalized Linear Model Asymptotic Inference Testing of Statistical Hypotheses Reliability and Survival Analysis Operations Research Statistical Research Methods Elective Elective

Practical Topics in the First-Year M.Sc Statistics Subjects

Some of the practical Topics in the 2nd-year M.Sc Statistics subjects are given below:

• Statistical Computing - Evaluating Integrals, Decision Trees, Kruskal-Wallis one-way ANOVA test
• Problem-Solving Using SPSS - Likelihood ratio test for testing the equality of several dispersion matrices
• Problem-Solving Using R Software - Problems based on estimation of reliability based on complete and censored samples

## M.Sc Statistics Subjects

The subjects in the syllabus of MSc Statistics include the study of distribution theory, measure theory and probability, matrix algebra and numerical analysis, computer programming, inference, linear models and regression analysis, and sample surveys. The following is the MSc Statistics subjects list:

### Core Subjects

Some of the core subjects under the syllabus of MSc Statistics are given below:

• Distribution Theory
• Measure Theory and Probability
• Matrix Algebra and Numerical Analysis
• Computer Programming
• Ancillary Mathematics
• Inference
• Linear Models and Regression Analysis
• Design of Experiments
• Time Series Analysis
• Multivariate Analysis

### Elective Subjects

Some of the elective subjects in MSc Statistics are given below:

• Bio-statistics
• Operational Research
• Non- Parametric Inference
• Financial Statistics
• Order statistics
• Statistical Quality Control
• Bayesian inference
• Advanced Theory of Experimental Designs
• Advanced statistical computing and data mining

### M.Sc Statistics Subjects in Detail

The Master in Statistics Syllabus is dynamic and includes a wide combination of knowledge based on inferential statistics and descriptive statistics. A detailed view of some of the Master in Statistics subjects is given below:

 M.Sc Statistics Subjects Topics Covered Analytical Tools for Statistics Functions of bounded variation, Riemann integral, Functions of several variables, Complex numbers Probability Theory A brief review of limit supremum, Outer measure, Integral of non-negative simple function, Sample space, and events Distribution Theory Generating functions, Discrete distributions, Continuous distributions, Order Statistics, Sampling distributions Statistical Inference The problem of point estimation, Sufficiency, Fisher’s information measure, Methods of estimation, Limitations of classical inference Multivariate Analysis Bivariate distributions, Multivariate normal distribution, Sampling distribution of multiple correlation coefficient, Classification problems Design and Analysis of Experiments Linear estimation, Principles of experimentation, Factorial experiments, Fixed effect, Split plot, split-split plot, and strip plot designs

## M.Sc Statistics Course Structure

MSc Stats syllabus is split into four semesters and aims to provide students with a detailed understanding of the topics through problem-solving, hands-on exercises, study visits, and projects as part of the M.Sc Statistics program. Following is the general structure:

• IV Semesters
• Core Subjects
• Elective Subjects
• Practical Workshops
• Research Project

## M.Sc Statistics Teaching Methodology and Techniques

The MSc Statistics courses include the latest learning approaches and Innovative technologies which include seminars, assignments, workshops, guest lectures, practicals, Internships, and skill development training are mandatory elements within the curriculum of each student. The following methods are generally used in teaching:

• Case-Based Learning
• Collaborative Learning
• Classroom Response System
• Demonstrations
• Group Discussions
• Diagrams and Graphs
• Interactive Teaching
• Lectures
• Problem Solving
• Self Study
• Weekly Quiz
• Group Assignments

## M.Sc Statistics Projects

The project evaluation under the M.Sc Statistics syllabus prepares students to manage projects and learn how to implement factors that contribute to task success. Students are required to complete a research project by the end of the fourth semester. The following are the popular projects under the MSc in Statistics syllabus:

• Time Series Analysis of Petroleum Product Sales in Nigeria
• The Statistical Analysis of Crime Recorded in Kuje -Abuja [FCT] from 1999 to 2007
• Comparison of the Strength of Quadrilateral Figure Using a Triangulation Scheme of Minor Degrees
• Analysis of the Regression of the National Income from 1998 to 2003

## M.Sc Statistics Course Reference Books

Reference books under M.Sc Statistics are available online and offline from a wide variety of publishers. The following books are useful for students planning to study M.Sc Statistics course:

 Name of the Books Authors Introduction to Probability & Statistics V K Rohatgi The Fundamentals of Mathematical Statistics S C Gupta and V K Kapoor An Introduction to the Theory of Statistics Mood and Graybill An Introduction to Mathematical Statistics Hogg and Craig Statistical Methods N G Das

## FAQs

What is the 1st year syllabus of MSc Statistics?

The 1st year syllabus includes subjects like Distribution Theory, Inference, Ancillary Mathematics, etc.

What are the core subjects of MSc Statistics?

The core subjects are Distribution Theory, Ancillary Mathematics, Time Series Analysis, etc.

Is the MSc Statistics course theoretical?

The M.Sc Statistics course combines theoretical and practical coursework. Candidates must study core and elective subjects, as well as lectures and practicals.

What are the important books for MSc Statistics?

A few popular reference books include Introduction to Probability & Statistics by V K Rohatgi, Statistical Methods by N G Das, etc.

What are the projects in MSc Statistics?

A few common project topics include Time Series Analysis of Petroleum Product sales, Analysis of the Regression of the National Income from 1998 to 2003, etc.