Advanced Statistical Methods

Teacher

Dr.Banitamani Mallik

Category

Core Courses

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Course Name :Advanced Statistical Methods

Code(Credit) :CUTM1533(2-1-1)

Course Objectives

• Ability to summarize and present data numerically and visually.
• Knowledge of which statistical methods to use in which situations
• Ability to think critically about data-based claims and quantitative arguments
• Ability to learn new statistical analysis techniques on your own

Learning Outcomes

Upon successful completion of this course, students will be able to:
• Apply statistical methods and hypothesis testing to business problems
• Learn the details and complexities of Analysis of Variance (ANOVA)
• Learn some of the details and complexities of Multiple Regression (MR)

Course Syllabus

Module I: (2 hrs+0 hrs+2hr)
Statistics: Population, Sample, Sampling, Estimators and Estimates, Maximum Likelihood , Confidence Intervals
Project-1
Application of Confidence intervals as a tool in decision making

Module II: (3 hrs+0hr+2hr)
Hypothesis Testing: Null and the alternative hypothesis, Rejection region and significance level, Chi-Square Test

Project-2

Hypothesis Testing in Quality Management

Module III: (4 hrs+4 hrs+0hr)
Regression: Multiple Regression and Logistic Regression
Practice-1
Multiple Regression Analysis in Python
Practice-2
Logistic Regression using Python

Module IV: (3 hrs+4 hrs+2hr)
Analysis of Variance(ANOVA): F- Distribution, One way ANOVA, Two Way ANOVA
Practice-3
One way ANOVA using Python
Practice-4
Two way ANOVA using Python
Project-3

The utility of multivariate statistical techniques in hydro geochemical studies

Module V: (3 hrs+2 hrs+2hr)
Covariance: (ANCOVA): Analysis of Covariance (ANCOVA), Bivariate Pearson Correlation, Alternative Correlation Coefficients
Practice-5

Python Analysis of covariance (ANCOVA)

Project-4

Application of Analysis of covariance (ANCOVA) in psychological research

Module VI: (3 hrs+0hr+2hr)
Multivariate analysis of variance (MANOVA): One-way MANOVA, Two-way MANOVA
Project-5
Comparison of MANOVA to ANOVA Using an Example

Module VII: (3 hrs+2 hrs+2hr)
Time Series Analysis: Introducing Time Series Analysis, Components of Time Series Analysis, Multivariate Time Series Analysis
Practice-6
Time Series Analysis using Python
Project-6
A Report on Applications of Time Series Analysis in Census Analysis

Text Books:
1. Statistical Methods By S.P. Gupta (31st Edition) ; Publisher: Sultan Chand & Sons
2. Mathematical Statistics by S.C. Gupta & V.K. Kapur (10th Edition); Publisher: Sultan Chand & Sons.

Reference Books:
Understanding And Using Advanced Statistics by Jeremy Foster Emma Barkus Christian Yavorsky, SAGE Publications

Course outline Prepared by: Dr.Banitamani Mallik
Date: 18-06-2020
Source of reference: udemy, coursera, Harvard University

Note: 1 credit theory=10 hrs lecture, 1 credit practice/project=12.5 hrs lab/workshop/field work in a semester

Session Plan

Session 1

Population, Sample, Sampling, Estimators and Estimates
Web Link
https://www.youtube.com/watch?v=yx5KZi5QArQ

Session 2

Maximum likelihood, Confidence Intervals
Web Link
https://www.youtube.com/watch?v=tFWsuO9f74o

Session 3 & 4

Project-1
Application of Confidence intervals as a tool in decision making

Session 5

Null and the alternative hypothesis
Web Link
https://www.youtube.com/watch?v=ZzeXCKd5a18

Session 6

Rejection region and significance level
Web Link
https://www.youtube.com/watch?v=BdeuCflLPQI

Session 7

Chi-Square Test
Web Link
https://www.youtube.com/watch?v=2SKXRB-bJKo

Session 8 & 9

Project-2

Hypothesis Testing in Quality Management

Session 10 & 11

Multiple Regression
Web Link
https://www.youtube.com/watch?v=zITIFTsivN8

Session 12 & 13

Logistic Regression
Web Link
https://www.youtube.com/watch?v=yIYKR4sgzI8

Session 14 & 15

Practice-1
Multiple Regression Analysis in Python
Web Link
https://www.youtube.com/watch?v=M32ghIt1c88

Session 16 & 17

Practice-2
Logistic Regression using Python
Web Link
https://www.youtube.com/watch?v=VCJdg7YBbAQ

Session 18

F- Distribution
Web Link
https://www.youtube.com/watch?v=w1TvaQgoNCY

Session 19

One way ANOVA
Web Link
https://www.youtube.com/watch?v=rMnlVIkdukU

Session 20

Two Way ANOVA
Web Link
https://www.youtube.com/watch?v=lZFmFuZGQTk

Session 21 &22

Practice-3

One way ANOVA using Python
Web Link
https://reneshbedre.github.io/blog/anova.html

Session 23 & 24

Practice-4

Two way ANOVA using Python
Web Links
https://www.youtube.com/watch?v=T4IgVnmNH5A
https://raphaelvallat.com/pingouin.html

Session 25 & 26

Project-3
Application of Analysis of covariance (ANCOVA) in psychological research

Session 27

Analysis of Covariance (ANCOVA)

Web Link
https://www.youtube.com/watch?v=rpe4kPGteCQ

Session 28

Bivariate Pearson Correlation
Web Link
https://www.youtube.com/watch?v=cagmwv4rMno

Session  29

Alternative Correlation Coefficients
Web Link
https://www.youtube.com/watch?v=jmE1rfDjDGQ

Session 30 &31

Practice-5

Python Analysis of covariance (ANCOVA)

Web Link

https://www.youtube.com/watch?v=Kx6QhjGcjA0

Session 32 & 33

Project-4

Application of Analysis of covariance (ANCOVA) in psychological research

Session 34

One-way MANOVA
Web Link
https://www.youtube.com/watch?v=HdAwASZ7bNY

Session 35 & 36

Two-way MANOVA
Web Link
https://www.youtube.com/watch?v=57do6ZVMp6Y

Session 37 & 38

Project-5
Comparison of MANOVA to ANOVA Using an Example

Session 39

Introducing Time Series Analysis
Web Link
https://www.youtube.com/watch?v=GUq_tO2BjaU

Session 40

Components of Time Series Analysis
Web Link
https://www.youtube.com/watch?v=e8Yw4alG16Q

Session 41

Multivariate Time Series Analysis
Web Link
https://www.youtube.com/watch?v=3dvzReXBUMs

Session 42 & 43

Practice-6
Time Series Analysis using Pandas
Web Link
https://www.youtube.com/watch?v=r0s4slGHwzE

Session 44 & 45

Project-6
A Report on Applications of Time Series Analysis in Different Real Life Situations

Our Main Teachers

Associate Professor ,School of Applied Sciences, Centurion University of Technology and Management, Paralakhemundi, Odisha, India. She has over 24 years of teaching and 7 years of research experiences. She has published 27 research articles in National and International refereed journals and has authored 01 book. She has produced 01 PhD scholar and is presently guiding […]