Introduction and Overview
IAU Lecture
Describing Distributions with Numbers
IAU Lecture
𝓗𝓤𝓢𝓢𝓐𝓘𝓝
𝓗𝓤𝓢𝓢𝓐𝓘𝓝
𝓗𝓤𝓢𝓢𝓐𝓘𝓝
Density Curves and Their Properties
Density Curves | Modeling Data Distributions
The Normal Distribution and The 68-95-99.7 Rule
Normal Distribution and Probability Problems
Z-Scores, Standardization, and the Standard Normal Distribution
Standard Normal Distribution Tables, Z Scores, Probability & Empirical Rule
Looking at Data Relationships Part#1
IAU Lecture
Looking at Data Relationships Part#2
IAU Lecture
Looking at Data Relationships Part#3
IAU Lecture
Cautions about Correlation and Regression
IAU Lecture
𝓗𝓤𝓢𝓢𝓐𝓘𝓝
𝓗𝓤𝓢𝓢𝓐𝓘𝓝
𝓗𝓤𝓢𝓢𝓐𝓘𝓝
𝓗𝓤𝓢𝓢𝓐𝓘𝓝
𝓗𝓤𝓢𝓢𝓐𝓘𝓝
𝓗𝓤𝓢𝓢𝓐𝓘𝓝
Understanding Correlation
Intro to Residuals and Least Square Regression
The Least Squares Method
Calculate Linear Regression Using Least Square Method
Regression and R-Squared
Regression Line Example
Residual Analysis
Lurking Variable Examples
Differences Between Correlation and Regression
Correlation Doesn't Equal Causation
Correlation Using Calculator
Two Way Tables
Marginal Distribution and Conditional Distribution
Simpson's Paradox
How Simpson's Paradox Explains Weird COVID19 Statistics
Probability Revision
Prep Year
The Study of Randomness
IAU Lecture
Probability Models
IAU Lecture
Random Variables
IAU Lecture
The Language of Probability Part#1
𝓗𝓤𝓢𝓢𝓐𝓘𝓝
The Language of Probability Part#2
𝓗𝓤𝓢𝓢𝓐𝓘𝓝
The Language of Probability Part#3
𝓗𝓤𝓢𝓢𝓐𝓘𝓝
Introduction to Probability
Probability Models
Basic Probability Rules
Multiplication & Addition Rule
Random Variables
Random Variables | Arabic
Discrete and Continuous Random Variables
Continuous Probability Distribution
Normal Probability Models
Means and Variance of Random Variables
IAU Lecture
General Probability Rules
IAU Lecture
The Language of Probability Part#4
Zahra
Mean of a Discrete Random Variable
Expected Value and Variance of Discrete Random Variables
The Mean and Variance of a Continuous Probability Distribution
Variance Rules
Multiplication & Addition Rule
Bayes' Theorem of Probability With Tree Diagrams & Venn Diagrams
Bayes' Theorem with an Example
The Sampling Distribution of a Sample
IAU Lecture
A Few More Facts
IAU Lecture
The Sampling Distribution of the Sample Mean
Central Limit Theorem | Sampling Distribution of Sample Means
Sampling Distribution for Proportions
Finding The Probability of a Binomial Distribution Plus Mean & Standard Deviation
Binomial Distribution
Estimation and Confidence Intervals
Confidence Intervals and Margin of Error
How To Find The Z Score, Confidence Interval, and Margin of Error for a Population Mean
Significance Tests: the Basics
P-values and significance tests
P-Value Method For Hypothesis Testing
One Tailed and Two Tailed Tests
One-tailed and two-tailed tests
2 Sided Hypothesis Tests & Confidence Intervals
Practice | Hypothesis Testing Problems Z Test & T Statistics One & Two Tailed Tests 2
Introduction to t Statistics
Introduction to the t Distribution (non-technical)
Z-statistics vs. T-statistics
Student's t-test
Student's T Distribution - Confidence Intervals & Margin of Error
How to Sample with a Random Number Table
T-statistic Confidence Interval
Single Sample Hypothesis t-test Concepts
One Sample t-Test
Single Sample Hypothesis t-test Examples
Matched or Paired Samples T-Test - Hypothesis Testing
Two Populations, Matched Sample t-test
Large Sample Proportion Hypothesis Testing
Large Sample Confidence Interval for a Population Proportion
Hypothesis Testing - Solving Problems With Proportions
How to determine the Sample Size?
Confidence Intervals, Estimating Sample Size Needed
How To Calculate The Sample Size Given The Confidence Level & Margin of Error
Expected Counts
How to calculate a chi square statistic
Introduction to the Chi-square Test
Pearson's chi square test (goodness of fit)
Chi Square Test
Extra - Chi-Square Tests
Introduction to Simple Linear Regression
Linear Regression, The Very Basics
The linear regression model
Simple Linear Regression | Interpreting Model Parameters
Deriving the least squares estimators of the slope and intercept (simple linear regression)
Simple Linear Regression | Checking Assumptions with Residual Plots
Linear Regression | Confidence Bands 1/2
Linear Regression | Confidence Bands 2/2
Linear Regression | Test and Interval for the Slope
Intervals (for the Mean Response and a Single Response) in Simple Linear Regression
Regression Analysis (Analysis Of Variance, ANOVA, R-Squared, T-Test, Degree Freedom)
Model Building, GLM Relationships Between ANOVA and Linear Regression
ANOVA 3: Hypothesis test with F-statistic
Interpreting the ANOVA Results Table
ANOVA 1: Calculating SST (total sum of squares)
ANOVA 2: Calculating SSW and SSB (total sum of squares within and between)
ANOVA, A Visual Introduction
Extra - ANOVA
Multiple Linear Regression, The Very Basics
Hypothesis Tests and Confidence Interval in Multiple Regression
Multiple Regression in SPSS - R Square; P-Value; ANOVA F; Beta 1/3
Multiple Regression in SPSS - R Square; P-Value; ANOVA F; Beta 2/3
Multiple Regression in SPSS - R Square; P-Value; ANOVA F; Beta 3/3