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Probability Distributions: Density And Cumulative – IMPRI Impact And Policy Research Institute

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Probability Distributions: Density and Cumulative

Session Report
Vamsi Gokaraju

Introduction

The online course on “Data Analytics for Policy Research”, aims to equip participants with advanced analytical skills. This program is organized by IMPRI Gen Alpha Data Centre. The session equipped policymakers, researchers, and data enthusiasts with cutting-edge analytical skills. The students went beyond theory and learned with hands-on training in data, analytics, and techniques, empowering participants to derive meaningful insights from complex data sets.

This course enabled students to harness the power of data to inform evidence-based policy decisions and address real-world challenges effectively. A vibrant community of learners engaged in collaborative discussions, and expanded their network in the field of policy research and data analytics.

The first session “Hands-on Data Learning Sessions: Probability Distributions: Density and Cumulative (EXCEL-based Session)” is conducted by Professor Nilanjan Banikji. Professor Nilanjan Banikji is a Professor and Program Director for B.A. Economics and Finance at Mahindra University, Hyderabad. He is also a visiting consultant at IMPRI.

Probability Density Function

The session started with a basic understanding of probability by Professor Niilanjan. Later, it went on to cover the concepts of probability distributions, density, and cumulative. His session focused on the introduction of ANOVA interpretation of the model and dummy variables.

The session went on to focus on the density function because it would help an analyst get an understanding of the performance of outcome variables. This outcome is important from the perspective of policy-making. This was taught with the help of a hypothetical example with the marks scored by students in a test post-session.

Statistical Components

A basic understanding of probability, density function, cumulative density function, random variables, skewness, and kurtosis was also explained.

Real-Life Examples

To better understand the concept and its application in real-life scenarios, Professor Nilanjan has taken a practical example; “Probability of rainfall happening in Delhi”. More practical examples were undertaken as a part of the session to understand the usage of Probability Density Functions in policies.

Data Sessions in Excel

The session then moved on to hands-on Excel training to implement the previously learned topics. Drawing of density distribution, generation of random variables, calculating mean, standard deviation, and other statistical concepts were taught in Excel which aligned with the course.

The session ended with more examples by Professor Nilanjan to ensure that the students understood the concepts with utmost clarity. Professor Nilanjan gave way to a Q&A session after briefly introducing the concept of a pairwise T test which was covered in the next session.

Conclusion

The professor discussed probability distributions and their relevance to policy research, using the cumulative distribution function to calculate the probability of a rainfall event occurring in Delhi and analyzing the change in per capita income over time using distribution functions. The applicability of density and distribution functions was also discussed, with examples presented to illustrate the implications of different distribution shapes.

Question and Answer Session

After the session, Professor Nilanjan took a short Q&A session to make sure that the students were not confused with any concepts that were taught in the session. Various questions paved the way for a healthy discussion between the Professor and the students. Students asked doubts ranging from concept clarity to asking for resources to go into depth within the topic. Various materials such as research papers and textbooks were shared to help the enthusiastic students to learn more.

Vamsi Gokaraju is a Research Intern at IMPRI.

Disclaimer: All views expressed in the article belong solely to the author and not necessarily to the organization.

Read more session reports:

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Posted by Vamsi Gokaraju, Research Intern at IMPRI.

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    IMPRI, a startup research think tank, is a platform for pro-active, independent, non-partisan and policy-based research. It contributes to debates and deliberations for action-based solutions to a host of strategic issues. IMPRI is committed to democracy, mobilization and community building.

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IMPRI, a startup research think tank, is a platform for pro-active, independent, non-partisan and policy-based research. It contributes to debates and deliberations for action-based solutions to a host of strategic issues. IMPRI is committed to democracy, mobilization and community building.

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