Statistics for Data Science
Course Overview:
Statistics is an introductory course that provides a foundation in basic statistical principles and methods. The course is designed to equip students with the essential skills to analyze and interpret data, make informed decisions, and draw meaningful conclusions. Topics covered in this course include descriptive statistics, probability, inferential statistics, hypothesis testing, and regression analysis.
Key Topics:
Descriptive Statistics: Introduction to measures of central tendency (mean, median, mode) and measures of dispersion (range, variance, standard deviation). Graphical representation of data through histograms, bar charts, and scatterplots.
Probability: Basic concepts of probability theory, including probability distributions, permutations, combinations, and the law of large numbers.
Inferential Statistics: Understanding the principles of statistical inference. Confidence intervals and hypothesis testing for means and proportions.
Hypothesis Testing: Formulating and testing hypotheses using t-tests and z-tests. Understanding p-values and their significance.
Regression Analysis: Introduction to simple linear regression. Analyzing relationships between variables and making predictions.
Course Objectives:
Develop a solid understanding of fundamental statistical concepts.
Acquire skills in data analysis and interpretation.
Learn to use statistical software for computations and graphical representation.
Gain the ability to critically evaluate statistical information in various contexts.
Assessment:
Assessment in this course may include assignments, quizzes, exams, and a final project. Practical applications and real-world examples will be integrated into assessments to reinforce theoretical concepts.
Prerequisites:
There are typically no specific prerequisites for Statistics , although a basic understanding of algebra may be beneficial.
Course Format:
The course is delivered through a combination of lectures, discussions, and hands-on activities.
About the Instructors
Usha Mohan
Professor, Department of Management Studies, IIT Madras
Usha Mohan holds a Ph.D. from Indian Statistical Institute. She has worked as a researcher in ISB Hyderabad and Lecturer at University of Hyderabad prior to joining IIT Madras. She offers courses in Data analytics, Operations research, and Supply chain management to under graduate, post graduate and doctoral students. In addition, she conducts training in Optimization methods and Data Analytics for industry professionals. Her research interests include developing quantitative models in operations management and combinatorial optimization.