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Operations of Set Theory: Disjoint/Mutually Exclusive
Fundamental Counting Principle, Permutations, and Combinations (Formula and Excel for calculating)
Two sample t-test with unequal variances in excel
Expected Value of X with joint PDF
Create a Scatter Plot Matrix and Correlation Matrix in Excel
Deriving the Binomial canonical link function, logit, for Generalized Linear Model (GLM)
Why is X non-random in Linear Regression? What does it mean for X to not be random?
Prove Sum yi(xi - xbar) = Sum (yi - ybar)(xi - xbar)
Calculating the Standard Deviation and Variance of a Discrete Probability Distribution Function
Example finding Probability of A and B complement if disjoint, subset, & intersection probability
Simple Linear Regression Description Model Assumptions
Show that A∩(BUC) = (A∩B)U(A∩C)
Set Theory Example: Union of three Events: A Union B Union C = A U B U C
Where did 1/(1-exp(x*beta)) come from in Logistic Regression?
Frequency Distribution for Nominal Data and Bar Graph
Calculating Normal Probabilities in Excel for a single observation and for the sample mean
Using Venn Diagrams, show that if A is a subset in B, then B complement is a subset of A complement
Simple Linear Regression - Prediction Interval - Example in Excel
Simple Linear Regression - ANOVA
How to Derive the Maximum Likelihood Estimators for Logistic Regression
GLM Exponential Family, Prove that the mean is the first derivative of b, E(Y) = mu = b'(theta)
Probability X is less than j for binomial distribution
Operations of Set Theory: Partitions
Find Mean, Median, Mode, Standard Deviation, Variance, and Range in Excel Quickly and Easily
Counting Methods: Multiplication Rule - Examples selecting balls with and without replacement
Famous Problem. What is the probability that at least 2 people in a group share the same birthday?
Proof that the Sum of (xi - xbar) = 0
Simple linear regression, Variance of a residual, Yi and Yhat independence. Plus or Minus sign?
Example using Probability Axioms (selecting a ball)
Box and Whisker Plot in Excel and Percentiles
Counting Methods: Permutations - Examples selecting balls without replacement and board members
Probability of finding a defective light bulb and how many should we sample to find defective bulb
t Confidence Interval in Excel and interpretation discussion
Examples using Venn Diagrams to verify identities
Poker Hand Examples - Flush and Full House
Binomial Example: Quality Control Counting Defects and Rejecting a Batch - Using Excel to calculate
Introduction to Set Notation: Complement, Union, Intersection, Sample Space, Event, Element
Basic Rules for Computing Probability - Relative Frequency Approximation
ANOVA both with and without data analysis toolpak in excel
Checking Model Assumptions in Excel
Proof for the Probability of a Union of Two Events
Simple Linear Regression - t tests of parameters
Use Excel to Find the Mean, Variance, and Standard Deviation of a Discrete Random Variable
GLM Exponential Family, Example with Normal distribution finding functions a, b, and c
Least Square Estimators Development using Matrices
Marginal Distribution with Strange Support
Population vs Sample
Joint PDF find the constant
Multiple Linear Regression Example using Indicator Variable, Find LSE using Matrices & Excel Toolpak
Scatter Plot Trendline R^2 and R in Excel
