BDS113 Course Materials by Mukul Bijalwan

Statistics Lecture Library

Introduction to Statistics lecture notes, reviews and problem sets by unit. By a Doctoral Fellow in Statistics, ICFAI University Dehradun.

Units
5 Units
Lectures
34 Lectures
Reviews
5 Reviews
Author
M. Bijalwan
01

Lectures by Unit

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Unit I: Foundations of Statistics

Lectures 1-3

Introduction to Statistics and Data Types

Basic concepts, types of data, sampling methods. Open lecture

Lectures 4-5

Measures of Central Tendency

Mean, median, mode and applications. Open lecture

Lectures 6-7

Measures of Dispersion

Variance, standard deviation and range. Open lecture

Unit II: Probability

Lectures 9-10

Fundamentals of Probability

Sample spaces, events and rules. Open lecture

Lectures 11-12

Conditional Probability and Bayes Theorem

Independence and applications. Open lecture

Lectures 13-14

Random Variables and Distributions

Discrete and continuous variables. Open lecture

Lecture 15

Discrete Probability Distributions

Binomial, Poisson and geometric. Open lecture

Unit III: Inferential Statistics

Lecture 16

Sampling Distributions

CLT and sampling distribution of means. Open lecture

Lecture 17

Estimation and Confidence Intervals

Point and interval estimation. Open lecture

Lecture 18

Hypothesis Testing Fundamentals

Null and alternative hypotheses. Open lecture

Lecture 19

Single Sample Tests

Z-tests and t-tests. Open lecture

Lecture 20

Two Sample Tests

Independent and paired comparisons. Open lecture

Lecture 21

Chi-Square Tests

Goodness of fit and independence. Open lecture

Lecture 22

Analysis of Variance

One-way ANOVA and comparisons. Open lecture

Unit IV: Regression and Correlation

Lecture 24

Correlation Analysis

Pearson and Spearman coefficients. Open lecture

Lecture 25

Simple Linear Regression

Model fitting and assumptions. Open lecture

Lecture 26

Regression Diagnostics

Residual analysis and validation. Open lecture

Lecture 27

Multiple Regression

Multiple predictors and selection. Open lecture

Lecture 28

Regression with Categorical Variables

Dummy variables and interactions. Open lecture

Lecture 29

Logistic Regression

Binary outcomes and odds ratios. Open lecture

Lecture 30

Model Selection and Validation

Cross-validation and information criteria. Open lecture

Lecture 31

Nonlinear Regression

Polynomial and transformed models. Open lecture

Lecture 32

Time Series Basics

Trend, seasonality and forecasting. Open lecture

Unit V: Advanced Topics

Lecture 34

Nonparametric Methods

Wilcoxon, Mann-Whitney, Kruskal-Wallis. Open lecture

Lecture 35

Experimental Design

Blocks, factorial designs, replication. Open lecture

Lecture 36

Multivariate Analysis Introduction

PCA and clustering overview. Open lecture

Lecture 37

Bayesian Statistics

Priors, posteriors and MCMC. Open lecture

Lecture 38

Resampling Methods

Bootstrap and permutation tests. Open lecture

Lecture 39

Course Summary and Applications

Concepts and real-world use. Open lecture

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02

Unit Reviews

Review Unit I

Foundations Review

Formulas, concept map, worked problems. Open review

Review Unit II

Probability Review

Formulas, concept map, worked problems. Open review

Review Unit III

Inference Review

Formulas, concept map, worked problems. Open review

Review Unit IV

Regression Review

Formulas, concept map, worked problems. Open review

Review Unit V

Advanced Topics Review

Formulas, wrap-up and applications. Open review

03

About

BDS113 Introduction to Statistics materials by Mukul Bijalwan, Doctoral Fellow in Statistics, ICFAI University Dehradun. 34 lectures, 5 units, 5 reviews.