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Introduction to Statistics

By Prof. Sameen Naqvi   |   IIT Hyderabad
Learners enrolled: 2230   |  Exam registration: 241
ABOUT THE COURSE:
In today's data-driven era, the ability to analyze and derive meaningful insights from data has become increasingly important. To achieve this, there are four fundamental steps: data collection, data summarization, data visualization, and data analysis. My course is designed to guide students through each of these steps, ensuring a comprehensive understanding. It begins by elucidating the data collection process, followed by techniques for effective data summarization and visualization. Additionally, students will learn to discern the appropriate summarization or visualization technique for different types of data variables. Prior to advancing to the analysis stage, students will acquire essential knowledge of the sampling distribution of single sample and two sample mean, variance, and proportion, a necessary tool in the field. Moving forward, the course delves into the analysis stage, encompassing critical topics such as methods for point and interval estimation. Lastly, the course concludes with an extensive exploration of hypothesis testing methods for means, variances, and proportions.

INTENDED AUDIENCE: Science and Engineering stream students at the undergraduate level.

PREREQUISITES: Student must be pursuing an undergraduate degree and have done a course on Probability at this level.

INDUSTRY SUPPORT: Goldman Sachs, Microsoft, Adobe, Flipkart, SamsungR&D, Salesforce.
Summary
Course Status : Completed
Course Type : Core
Duration : 12 weeks
Category :
  • Mathematics
Credit Points : 3
Level : Postgraduate
Start Date : 22 Jan 2024
End Date : 12 Apr 2024
Enrollment Ends : 05 Feb 2024
Exam Registration Ends : 16 Feb 2024
Exam Date : 28 Apr 2024 IST

Note: This exam date is subject to change based on seat availability. You can check final exam date on your hall ticket.


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Course layout

Week 1: Collecting data
Week 2: Summarizing data
Week 3: Visualizing data
Week 4: Analysis tool – Sampling Distribution (one sample problem)
Week 5: Analysis tool – Sampling Distribution (two sample problem)
Week 6: Analyzing Data – Point Estimation
Week 7: Analyzing Data – Point Estimation for missing data
Week 8: Analyzing Data – Testing of Hypothesis
Week 9: Analyzing Data – Testing of Hypothesis (continued)
Week 10: Analyzing Data – Bootstrap Hypothesis Testing
Week 11: Analyzing Data – Confidence Interval Estimation
Week 12: Analyzing Data – Bootstrap Confidence Interval.

Books and references

1. Ross, S.M., 2014. Introduction to Probability and Statistics for Engineers and Scientists. Academic Press.
2. Rohatgi, V.K. and Saleh, A.M.E., 2015. An Introduction to Probability and Statistics. John Wiley & Sons.
3. Montgomery, D.C. and Runger, G.C., 2010. Applied Statistics and Probability for Engineers. John Wiley & Sons.
4. Hogg, R.V. and Craig, A.T., 1995. Introduction to Mathematical Statistics (5th edition). Englewood Hills, New Jersey.
5. Walpole, R.E., Myers, R.H., Myers, S.L. and Ye, K., 1993. Probability and Statistics for Engineers and Scientists (Vol. 5). New York: Macmillan.
6. Efron, B. and Tibshirani, R.J., 1994. An introduction to the bootstrap. CRC press

Instructor bio

Prof. Sameen Naqvi

IIT Hyderabad
Prof. Sameen Naqvi is currently working as an Assistant Professor in the Department of Mathematics at IIT Hyderabad. After earning her doctorate in statistics from IIT Kanpur in 2017, she pursued post-doctoral studies at The Chinese University of Hong Kong in Hong Kong (April 18–Sep 18) and Jiangsu Normal University in China (April 17–Mar 18). Her expertise lies in Reliability Theory, Applied Statistics, and Stochastic Orders. She is currently supervising three PhD students and has made significant contributions to a variety of research endeavors. She has also supervised the project work of multiple MSc and BTech students. During her tenure at IIT Hyderabad, Prof. Sameen has been actively involved in teaching and mentoring. In addition to teaching courses like Probability Theory and Introduction to Statistics, she has contributed to the development of a variety of courses, including Statistical Inference, Non-parametric Inference, Applied Statistics, and Statistical Reliability Theory.

Course certificate

The course is free to enroll and learn from. But if you want a certificate, you have to register and write the proctored exam conducted by us in person at any of the designated exam centres.
The exam is optional for a fee of Rs 1000/- (Rupees one thousand only).
Date and Time of Exams: 28 April 2024 Morning session 9am to 12 noon; Afternoon Session 2pm to 5pm.
Registration url: Announcements will be made when the registration form is open for registrations.
The online registration form has to be filled and the certification exam fee needs to be paid. More details will be made available when the exam registration form is published. If there are any changes, it will be mentioned then.
Please check the form for more details on the cities where the exams will be held, the conditions you agree to when you fill the form etc.

CRITERIA TO GET A CERTIFICATE

Average assignment score = 25% of average of best 8 assignments out of the total 12 assignments given in the course.
Exam score = 75% of the proctored certification exam score out of 100

Final score = Average assignment score + Exam score

YOU WILL BE ELIGIBLE FOR A CERTIFICATE ONLY IF AVERAGE ASSIGNMENT SCORE >=10/25 AND EXAM SCORE >= 30/75. If one of the 2 criteria is not met, you will not get the certificate even if the Final score >= 40/100.

Certificate will have your name, photograph and the score in the final exam with the breakup.It will have the logos of NPTEL and IIT Hyderabad .It will be e-verifiable at nptel.ac.in/noc.

Only the e-certificate will be made available. Hard copies will not be dispatched.

Once again, thanks for your interest in our online courses and certification. Happy learning.

- NPTEL team


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