formulas

# formulas - WRITE YOUR NAME AND STUDENT NUMBER Name Student...

This preview shows pages 1–2. Sign up to view the full content.

1 | Page WRITE YOUR NAME AND STUDENT NUMBER. Name: Student No.: NOTE : One two-sided formula sheet is allowed. It is highly recommended that you make your own formula sheet, but if you choose to use this one, you definitely need to double check and complete it. Probability ] [ ] [ ] | [ ] | [ A P B P B A P A B P = Generalized Baye’s Rule = = = = k i i k i i i r r r B P B P B A P B B A P A B P 1 1 1 ] [ , ] [ ] | [ ] Pr[ ] | [ ] | [ Fusion ] ' [ ] ' | [ ] ' | [ ] [ ] | [ ] | [ ] [ ] | [ ] | [ ] | [ 2 1 2 1 2 1 2 1 B P B A P B A P B P B A P B A P B P B A P B A P A A B P + = )! ( ! m n n P n m = )! ( ! ! m n m n C n m = )! 1 ( ! )! 1 ( ) ( + = n m n m C n r m Normal standard σ x x z i i = Binomial ) 1 ( , ) 1 ( ! )! ( ! ) ( P nP nP P P x x n n x p x n x = = = μ Poisson nP e x nP x p nP x = = = ! ) ( ) ( () = x dx x p x F ) ( = b a dx x p b X a P ) ( +∞ = = 1 ) ( 0 dx x p +∞ = = dx x xp x ) ( 1 2 2 2 2 2 ) ( ) ( x dx x p x dx x p x x = = = + +∞ +∞ = = dx x p x x Sk ) ( ) ' ( 3 3 Statistics: n x n x x n i i = = = 1 1 = = = = n i i n i i x x n x x x S 1 2 2 1 2 2 1 ) ( 1 ν n S t x z x x x P v P i 1 1 , + ± = ± = n S S S t x z x x x x x P v x P = ± = ± = , ' 2 2 / 1 2 2 2 2 / 2 α χ x x S S 2 = E z n p Note: Consider the one-sided confidence bounds. Practice reading z, t, chi from 1-sided and 2-sided tables. n x x z 0 0 = n S x x t x 0 0 = 2 0 2 2 0 x S = Note: P-value is the rejection area with respect to z 0 , t 0 , or X 0 .

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
2 | Page
This is the end of the preview. Sign up to access the rest of the document.

## This note was uploaded on 03/28/2011 for the course APSC 254 taught by Professor Stephen during the Spring '11 term at UBC.

### Page1 / 2

formulas - WRITE YOUR NAME AND STUDENT NUMBER Name Student...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online