Intro to Statistics
Unlock the power of data! Master fundamental statistical concepts and techniques to analyze, interpret, and make informed decisions in any field.
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Foundations of Statistics and Data
Unit 1: Introduction to Statistics
What is Statistics?
Descriptive Statistics
Inferential Statistics
Descriptive vs. Inferential
Why Study Statistics?
Unit 2: Types of Data
What is Data?
Nominal Data
Ordinal Data
Interval and Ratio Data
Data Types: Applications
Unit 3: Applications of Statistics
Stats in Healthcare
Stats in Business
Stats in Social Sciences
Stats in Engineering
Ethics in Statistics
Descriptive Statistics: Summarizing and Visualizing Data
Unit 1: Measures of Central Tendency
Intro to Central Tendency
Calculating the Mean
Finding the Median
Identifying the Mode
Comparing Mean, Median, Mode
Unit 2: Measures of Dispersion
Intro to Dispersion
Calculating the Range
Understanding Variance
Calculating Std Deviation
Interpreting Dispersion
Unit 3: Data Visualization
Intro to Visualization
Creating Histograms
Understanding Box Plots
Making Scatter Plots
Choosing Chart Types
Unit 4: Identifying and Handling Outliers
What are Outliers?
Visual Outlier Detection
IQR Outlier Detection
Dealing with Outliers
Impact on Analysis
Probability and Probability Distributions
Unit 1: Understanding Probability
Intro to Probability
Calculating Probability
Axioms of Probability
Addition Rule
Conditional Probability
Unit 2: Advanced Probability Concepts
Multiplication Rule
Independent Events
Bayes' Theorem
Bayes' Theorem Examples
Probability Trees
Unit 3: Discrete Probability Distributions
Discrete Variables
Binomial Distribution
Poisson Distribution
Poisson Examples
Hypergeometric Dist.
Unit 4: Continuous Probability Distributions
Continuous Variables
Normal Distribution
Normal Distribution App.
Exponential Distribution
Uniform Distribution
Unit 5: Central Limit Theorem
Sampling Distributions
Central Limit Theorem
CLT and Sample Size
CLT Example
Confidence Intervals
Inferential Statistics: Hypothesis Testing and Regression
Unit 1: Hypothesis Testing Fundamentals
Hypothesis Intro
Null Hypothesis
P-Values Explained
Significance Levels
Errors in Testing
Unit 2: One-Sample Hypothesis Tests
Z-Test Intro
T-Test Intro
Z-Test Example
T-Test Example
Choosing Z vs T
Unit 3: Two-Sample Hypothesis Tests
Independent T-Test
Paired T-Test
Ind. T-Test Example
Paired T-Test Example
Choosing T-Test Type
Unit 4: Correlation and Regression
Intro to Correlation
Calculating Correlation
Intro to Regression
Regression Analysis
Regression Examples
Unit 5: Chi-Square and Non-Parametric Tests
Chi-Square Intro
Chi-Square Example
Spearman's Rank
Non-Parametric Tests
Examples of Non-Para
Statistical Software, Ethics, and Emerging Trends
Unit 1: Introduction to Statistical Software
Software Options
R Installation
R Basics
Data Input in R
R Packages
Unit 2: Descriptive Statistics with Software
Descriptive Stats in R
Histograms in R
Box Plots in R
Scatter Plots in R
Bar Charts in R
Unit 3: Inferential Statistics with Software
T-tests in R
ANOVA in R
Chi-Square in R
Correlation in R
Regression in R