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MAL3040: Statistics

Autumn 2026–27 (Semester I) · IIT Jodhpur
Program elective for ITEP BSc–BEd (Mathematics Major) students in their 3rd-year

L-T-P (C): 3-1-0 (4)
Prerequisite: Understanding of probability theory

Syllabus

Objectives

The instructor will:

  1. demonstrate the basic principles of data analysis;
  2. discuss from descriptive statistics to inferential statistics;
  3. explore the applications of probability theory for data analysis.

Learning outcomes

The students will be able to:

  1. present data in the form of charts and numbers;
  2. apply useful distributions to a given data set;
  3. use statistical tools for decision-theoretic problems.

Contents

  1. Descriptive Statistics (4 lectures)
    • Classification and tabulation of data, graphical representation
    • Measures of central tendency: mean, median, mode
    • Measures of dispersion: range, variance, standard deviation, coefficient of variation
    • Correlation coefficient
  2. Sampling Distributions (4 lectures)
    • Chi-square, \(t\), and \(F\) distributions
    • Central limit theorem
  3. Statistical Inference (10 lectures)
    • Point estimation, properties of point estimators: unbiasedness, consistency, efficiency, sufficiency
    • Method of moments and maximum likelihood estimation
    • Confidence interval estimation
  4. Hypothesis Testing (10 lectures)
    • Null and alternative hypotheses, Type I and Type II errors, power of a test, \(p\)-values
    • One-sample tests for mean, variance, and proportion
    • Two-sample tests, test for independence, chi-square goodness-of-fit test
  5. Regression and Correlation (8 lectures)
    • Karl Pearson's correlation, rank correlation
    • Simple linear regression and multiple regression
  6. Demonstrations Using R (4 lectures)

Textbooks

Reference Books

Online Course Material

Lectures

Classes are held in Slot CE in lecture hall EE108, Department of Electrical Engineering [Google Maps]:

Tutorials are held in lecture hall MT110, Department of Metallurgical and Materials Engineering [Google Maps]:

Office hours are held in my office, Room 116, Department of Mathematics [Google Maps]:

A calendar of lectures, tutorials, and assessment dates is maintained for this course [Google Calendar]. Sign in with your IIT Jodhpur account to view or subscribe.

Please note timetable adjustments as per the Academic Calendar.

Extra classes

Teaching Assistants

Evaluation

Attendance

Attendance in lectures is compulsory. If you miss lectures for valid reasons (e.g., medical), please inform the instructor promptly. Students who do not meet the 80% attendance requirement will be awarded an F grade. [Google Sheets]

Assessments

Course materials

The primary text for this course is Sheldon M. Ross, Introduction to Probability and Statistics for Engineers and Scientists, fourth edition, Academic Press/Elsevier, New Delhi, 2009. [IITJ Library]