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Course11110414756 lectures

Essentials of Data Science With R Software-2: Sampling Theory and Linear Regression Analysis

Prof. Shalabh · IIT Kanpur

Start with lecture 1 At NPTEL

Lectures

Week 1

  1. Lecture 01: What is Data Science? Video
  2. Lecture 02: Installation and Working with R Video
  3. Lecture 03: Calculations with R as a Calculator Video
  4. Lecture 04: Calculations with Data Vectors Video
  5. Lecture 05: Built-in Commands and Missing Data Handling Video
  6. Lecture 06: Operations with Matrices Video
  7. Lecture 07: Data Handling Video
  8. Lecture 08: Graphics and Plots Video

Week 2

  1. Lecture 09: Sampling, Sampling Unit, Population and Sample Video
  2. Lecture 10: Terminologies and Concepts Video
  3. Lecture 11: Ensuring Representativeness and Type of Surveys Video
  4. Lecture 12: Conducting Surveys and Ensuring Representativeness Video

Week 3

  1. Lecture 13: SRSWOR, SRSWR, and Selection of Unit- 1 Video
  2. Lecture 14: SRSWOR, SRSWR, and Selection of Unit- 2 Video
  3. Lecture 15: Probabilities of Selection of Samples Video
  4. Lecture 16: SRSWOR and SRSWR with R with "sample" Package Video
  5. Lecture 17: Examples of SRS with R using "sample" Package Video

Week 4

  1. Lecture 18: Simple Random Sampling :: SRS with R using sampling- and sample- Packages Video
  2. Lecture 19: Simple Random Sampling :: Estimation of Population Mean Video
  3. Lecture 20: Simple Random Sampling :: Estimation of Population Variance Video
  4. Lecture 21: Simple Random Sampling :: Estimation of Population Variance Video

Week 5

  1. Lecture 22: SRS :: Confidence Interval Estimation of Population Mean Video
  2. Lecture 23: SRS :: Estimation of Mean, Variance and Confidence Interval in SRSWOR using R Video
  3. Lecture 24: SRS :: Estimation of Mean, Variance and Confidence Interval in SRSWR using R Video
  4. Lecture 25: Sampling for Proportions and Percentages :: Basic Concepts Video

Week 6

  1. Lecture 26: Sampling for Proportions and Percentages :: Mean and Variance of Sample Proportion Video
  2. Lecture 27: Sampling for Proportions and Percentages :: Sampling for Proportions with R Video
  3. Lecture 28: Stratified Random Sampling :: Drawing the Sample and Sampling Procedure Video
  4. Lecture 29: Stratified Random Sampling :: Estimation of Population Mean, Population Variance and Confidence Interval Video

Week 7

  1. Lecture 30: Stratified Random Sampling :: Sample Allocation and Variances Under Allocation Video
  2. Lecture 31: Stratified Random Sampling :: Drawing of Sample Using sampling and strata Packages in R Video
  3. Lecture 32: Stratified Random Sampling :: Drawing of Sample Using survey Package in R Video
  4. Lecture 33: Bootstrap Methodology :: What is Bootstrap and Methodology Video
  5. Lecture 34: Bootstrap Methodology :: EDF, Bootstrap Bias and Bootstrap Standard Errors Video

Week 8

  1. Lecture 35: Bootstrap Methodology :: Bootstrap Analysis Using boot Package in R Video
  2. Lecture 36: Bootstrap Methodology :: Bootstrap Confidence Interval Video
  3. Lecture 37: Bootstrap Methodology :: Bootstrap Confidence Interval Using boot and bootstrap Packages in R Video
  4. Lecture 38: Bootstrap Methodology :: Example of Bootstrap Analysis Using boot Package Video

Week 9

  1. Lecture 39: Introduction to Linear Models and Regression :: Introduction and Basic Concepts Video
  2. Lecture 40: Simple Linear Regression Analysis :: Basic Concepts and Least Squares Estimation Video
  3. Lecture 41: Simple Linear Regression Analysis :: Fitting Linear Model With R Software Video

Week 10

  1. Lecture 42: Simple Linear Regression Analysis :: Properties of Least Squares Estimators Video
  2. Lecture 43: Simple Linear Regression Analysis :: Maximum Likelihood and Confidence Interval Estimation Video
  3. Lecture 44: Simple Linear Regression Analysis :: Test of Hypothesis and Confidence Interval Estimation With R Video
  4. Lecture 45: Multiple Linear Regression Analysis :: Basic Concepts Video

Week 11

  1. Lecture 46: Multiple Linear Regression Analysis :: OLSE, Fitted Model and Residuals Video
  2. Lecture 47: Multiple Linear Regression Analysis :: Model Fitting With R Software Video
  3. Lecture 48: Multiple Linear Regression Analysis :: Properties of OLSE and Maximum Likelihood Estimation Video
  4. Lecture 49: Multiple Linear Regression Analysis :: Test of Hypothesis and Confidence Interval Estimation on Individual Regression Coefficients Video

Week 12

  1. Lecture 50: Analysis of Variance and Implementation in R Software Video
  2. Lecture 51: Goodness of Fit and Implementation in R Software Video
  3. Lecture 52: Variable Selection using LASSO Regression :: Introduction and Basic Concepts Video
  4. Lecture 53: Variable Selection using LASSO Regression :: LASSO with R Video

Live Session

  1. Live Session 01-04-2021 Video
  2. Live Session 03-12-2022 Video
  3. Live Session 08-03-2024 Video

Syllabus and materials

At NPTEL, as the course publishes them.

Credits and licence

Institution
IIT Kanpur
Department
Mathematics
Teacher
Prof. Shalabh
Level
Undergraduate
Language
English
Subjects
Mathematics
Source
NPTEL
Licence
CC BY-NC-SA, as NPTEL states it. Non-commercial use only. NPTEL's terms
Attribution
NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge.
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