Course Overview: This course, guided by Dr. Andrew Thangaraj, Professor in the Electrical Engineering Department at IIT Madras, provides an in-depth exploration of probability and statistics. It is designed to equip learners with the foundational knowledge and practical skills necessary to apply statistical methods and probabilistic reasoning across various fields.
Course Faculty and Instructors:
Faculty:
Dr. Andrew Thangaraj, Professor, Electrical Engineering Department, IIT Madras
Course Instructors:
Nikita Kumari (M.Sc., Mathematics, IIT Madras)
Mayur Gundal (M.Tech., Ocean Engineering, IIT Madras)
Prashant Sharma (M.Sc., Statistics, University of Delhi)
Course TAs:
Ankit Kumar
Kshitij Pandey
Study Material: The primary resources for this course are the video lectures and assignments available on the course page. These materials are designed to provide comprehensive coverage of the topics discussed in the lectures and to reinforce learning through practical application.
Prescribed Textbooks:
Probability and Statistics with Examples using R by Siva Athreya, Deepayan Sarkar, and Steve Tanner
Probability & Statistics for Engineers & Scientists (Global Edition) by Ronald E. Walpole
These textbooks serve as supplementary resources to deepen your understanding of the concepts covered in the lectures and assignments.
Interaction Sessions: Learners are encouraged to utilize the interaction sessions with course support members to clarify any doubts and enhance their understanding of the subject matter. These sessions provide an excellent opportunity to engage with the instructors and TAs for personalized guidance.
Course Syllabus and Calendar: For detailed information about the course syllabus, instructors, and prescribed books, and to view the course-specific calendar, please visit the course page using the provided link: IIT Madras Online Degree Course Page
Key Topics Covered:
Fundamentals of probability
Descriptive statistics
Inferential statistics
Probability distributions
Statistical inference
Hypothesis testing
Regression analysis
Analysis of variance (ANOVA)
Applications of statistics in engineering and science
Learning Outcomes: By the end of this course, learners will be able to:
Understand and apply basic principles of probability and statistics.
Analyze data using statistical methods.
Use R programming for statistical analysis.
Interpret and communicate statistical results effectively.
Apply statistical reasoning to solve real-world problems in engineering and science.
This course is tailored for learners who aim to build a strong foundation in probability and statistics, enhancing their analytical skills and preparing them for advanced studies or professional applications in various domains.
Data Collection and Manipulation: Statistics involves creating, downloading, manipulating, and analyzing datasets. This includes gathering relevant information, cleaning and organizing data, and preparing it for analysis.
Framing Questions: In statistics, questions are framed in terms of variables (characteristics being measured or observed) and cases (individual units of observation). Questions are designed to explore relationships between variables and understand patterns within the data.
Descriptive Statistics: Descriptive statistics are used to summarize and describe the main features of a dataset. This includes numerical summaries such as mean, median, and standard deviation, as well as visual representations like histograms, scatter plots, and box plots.
Probability: Probability is the measure of the likelihood that an event will occur. Statistics involves estimating chance by applying laws of probability and translating real-world problems into probability models.
Random Variables: Statistics deals with random variables, which are variables whose values are determined by chance. Expectation and variance are key measures used to describe the behavior of random variables.
Probability Distributions: Statistics encompasses various probability distributions, including the Binomial Distribution and Normal Distribution. These distributions describe the likelihood of different outcomes in random processes and are characterized by specific properties and parameters.
ANA
ANALYSIS:
This dataset constists of the coloums :
gender
Race/Ethnicity
educational level
Math score
Physics score
Chemistry score
Here we see about the detailed analysis of marks of people of maths physics and chemistry in an exam .
all the charts and detaied analytical graphs provided in the sheets .
datasheet link :
https://docs.google.com/spreadsheets/d/18F5mnmkPJE1A3U8KTo9nWdZHL64xK7tlDlR3a8FAFqY/edit?usp=sharing