Algebraic formulae

Question 1

What is the algebraic formula for a GLM with a single factor explanatory variable?

Answer 1

fᵢ = c + αⱼ

Question 2

What is the algebraic formula for a GLM with a single continuous explanatory variable?

Answer 2

fᵢ = c + m𝑥ᵢ

Question 3

What is the algebraic formula for a GLM with a continuous explanatory variable and a factor explanatory variable?

Answer 3

fᵢ = c + αⱼ + m𝑥ᵢ

Question 4

What is the algebraic formula for a GLM with two factor explanatory variables?

Answer 4

fᵢ = c + αⱼ + βₖ

Question 5

What is the algebraic formula for a GLM with a continuous explanatory variable, a factor variable, and an interaction between them?

Answer 5

fᵢ = c + αⱼ + (m + γⱼ)𝑥ᵢ

Question 6

What is the subscript j for with factor variables?

Answer 6

An adjustment for each level

Question 7

What is the algebraic formula for a GLM with two continuous explanatory variables?

Answer 7

fᵢ = c + mₜ𝑥ₜ + mₙ𝑥ₙ
first letter of whatever the names of the variables are for the subscripts

Question 8

What is the algebraic formula for a GLM with two continuous explanatory variables and their interaction?

Answer 8

fᵢ = c + m1𝑥1i + m2𝑥2i + m3𝑥1ix2i

Question 9

What is the left hand side of an algebraic formula for a poisson model?

Answer 9

log(fi)