JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD

Pre-Requisites

Basic Mathematics and Programming

Course Objectives:

This course provides a solid postgraduate foundation in both probability theory and mathematical statistics and at the same time provides an indication of the relevance and importance of the theory in solving practical problems in the real world

Course Outcomes

After completion of course, students would be able to:

Manipulate data within R and to create simple graphs and charts used in introductory Statistics Perform and interpret different distribution using R

Cycle 1: Introduction to R Programming Getting Used to R: Describing Data Viewing and Manipulating Data Plotting Data Reading in Your Own Data

Cycle 2: Probability and Distributions: Generate and Visualize Discrete and continuous distributions using the statistical environment. Demonstration of CDF and PDF uniform and normal, binomial Poisson distributions.

Cycle 3: Densities of Random Variables Off the Shelf Distributions in R Matching a Density to Data More About Making Histograms

Cycle 4: Binomial Distribution Study of binomial distribution. Plots of density and distribution functions. Normal approximation to the Binomial distribution.

Cycle 5: Building Confidence in Confidence Intervals Populations Versus Samples Large Sample Confidence Intervals Simulating Data Sets Evaluating the Coverage of Confidence Intervals Cycle 6: Correlation: How to calculate the correlation between two variables. How to make scatter plots. Use the scatter plot to investigate the relationship between two variables

Cycle 7: Estimating a Linear Relationship A Statistical Model for a Linear Relationship Least Squares Estimates The R Function lm Scrutinizing the Residuals

Cycle 8: Introduction to Data Visualization using Tableau: Installing Tableau Tableau Workspace Data Preparation Visualizing Data: Tables, charts and plots. Visualizing Measures of Central Tendency, Variation, and Shape. Box plots, Pareto diagrams. How to find the mean median standard deviation and quantiles of a set of observations

Reference Books:

Probability and Statistics with R, Maria Dolores Ugarte, Ana F. Militino , Alan T. Arnholt, 2nd Edition on, CRC Press, 2016. Introductory Statistics with R, P. Dalgaard, 2nd Edition, Springer 2008

M.Tech. (Data Science) I Year I Semester