03:37

Nelder & Wedderburn 1972 - Generalized Linear Model - The Random Componet - when alpha of phi is 1

02:20

Nelder & Wedderburn 1972 - Generalized Linear Model - The Random Componet - Equation 6

03:13

Nelder & Wedderburn 1972 - Generalized Linear Model - The Random Componet - Equation 5

10:58

Nelder & Wedderburn 1972 - Generalized Linear Model - The Random Componet - Equation 4

01:40

Nelder & Wedderburn 1972 - Generalized Linear Model - The Random Componet - Equation 3

14:27

Nelder & Wedderburn 1972 - Show that the Normal Distribution is from the Exponential Family

04:53

Nelder & Wedderburn 1972 - Generalized Linear Model - The Random Component: Mu = Expected Value of Z

04:23

Nelder & Wedderburn 1972 - Generalized Linear Model - The Random Component - Derivative of the L

11:15

Nelder & Wedderburn 1972 - Generalized Linear Model - The Random Componet - Equation 2

09:31

Nelder & Wedderburn 1972 - Generalized Linear Model - The Random Componet - Equation 1

03:16

Nelder & Wedderburn 1972 - Generalized Linear Model - Introduction

08:50

Better than a Z-Table. Estimate probabilities and z-values to more decimals using Excel

04:36

What is the difference between STDEV.P and STDEV.S in Excel?

06:29

Why the constant is squared when finding the Variance of aX. Proof that Var(aX)=a^2Var(X)

11:07

Solve rational inequality by factoring and using test points

09:36

Using Z (Standard Normal) Table to find the Percentiles for X and a Sample Mean, X-bar (using CLT)

06:14

Why is X non-random in Linear Regression? What does it mean for X to not be random?

06:36

Proof that the Sum (xi - xbar)xi = Sum (xi - xbar) * (xi - xbar) = Sxx

03:11

Proof that the Sum of (xi - xbar) = 0

13:38

Deriving the Binomial canonical link function, logit, for Generalized Linear Model (GLM)

09:30

GLM Link Function, and Canonical Links

05:35

GLM Exponential Family, Example with Poisson distribution finding functions a, b, and c

14:48

GLM Exponential Family, Prove that Var(Y) = b''(theta)*a(phi)

08:22

GLM Exponential Family, Prove that the mean is the first derivative of b, E(Y) = mu = b'(theta)

10:55

GLM Exponential Family, Example with Normal distribution finding functions a, b, and c

08:42

Simple linear regression, Variance of a residual, Yi and Yhat independence. Plus or Minus sign?

16:38

Deriving Confidence Interval vs Deriving Prediction Interval

20:25

Proof for the Probability of a Union of Three Events

05:38

Show that A∩(BUC) = (A∩B)U(A∩C)

02:21

Using Venn Diagrams, show that if A is a subset in B, then B complement is a subset of A complement

05:31

Why is the Variance of the Sample Mean equal to Sigma^2/n ? How to find the Variance of X-bar

13:22

Where did 1/(1-exp(x*beta)) come from in Logistic Regression?

21:54

How to Derive the Maximum Likelihood Estimators for Logistic Regression

06:00

Prove Sum yi(xi - xbar) = Sum (yi - ybar)(xi - xbar)

19:24

How to Derive the Score Vector for the Maximum Likelihood Estimators of a Logistic Regression

03:57

Set Theory Example: A Complement Intersection B = A' ∩ B = A^c ∩ B

03:25

Set Theory Example: Intersection of three Events: A Intersection B Intersection C = A ∩ B ∩ C

02:33

Set Theory Example: Union of three Events: A Union B Union C = A U B U C

04:28

Set Theory Examples: A Intersection (B Union C) = A(BUC) = A∩(BUC)

11:45

Set Notation Examples: Sample Spaces is the real number line: Find Complement, Union, Intersection

08:37

Introduction to Set Notation: Complement, Union, Intersection, Sample Space, Event, Element

11:41

Interpreting R squared building up from interpreting variance (and standard deviation)

14:30

Calculating Normal Probabilities in Excel for a single observation and for the sample mean

04:36

Probability X is less than j for binomial distribution

09:13

Probability that people sit adjacent to each other in chairs in a row and in a circle

12:56

Probability of finding a defective light bulb and how many should we sample to find defective bulb

10:41

Poker Hand Examples - Flush and Full House

11:37

Counting Methods: Combinations - Examples selecting balls without replacement and board members

09:25

Counting Methods: Permutations - Examples selecting balls without replacement and board members

10:16

Famous Problem. What is the probability that at least 2 people in a group share the same birthday?

09:35

Counting Methods: Multiplication Rule - Examples selecting balls with and without replacement

05:00

Example finding Probability of A and B complement if disjoint, subset, & intersection probability

07:34

Example using Probability Axioms (selecting a ball)

10:16

Proof for the Probability of a Union of Two Events

04:46

Proof for the Probability of a Complement

03:58

Three Axioms for Probability (Definition of Probability)

18:32

Examples using Set Theory (complements, unions, intersections) with sets of real numbers

16:47

t Confidence Interval in Excel and interpretation discussion

15:34

Binomial Example: Quality Control Counting Defects and Rejecting a Batch - Using Excel to calculate

19:51

Scatter plot, linear regression line, and r in Excel and discussion on interpretation