FORMULEXw11 - SINGLE FACTOR FIXED MODEL I Y ij = jth...

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

View Full Document Right Arrow Icon

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

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: SINGLE FACTOR FIXED MODEL I Y ij = jth observation on the ith factor level Y = Y ij n 1 = j i. i ∑ n Y = Y i . i . i n = n i r 1 = i T ∑ Y = Y ij n 1 = j r 1 = i . . i ∑ ∑ n Y = Y T .. .. μ μ τ . i i- = n n = T i i r 1 = i . μ μ ∑ n Y Y = SSTO T 2 .. 2 ij n j=1 r =1 i- i ∑ ∑ n Y- n Y = SSTR T 2 .. i 2 i. r =1 i ∑ 1- r ) u.- ( n + = E{MSTR} 2 i i r 1 = i 2 μ σ ∑ Brown-Forsythe Test | M- Y | = d d ij ij i MSE MSTR = F * BR where n d d = SSTO T 2 .. 2 ij n j=1 r =1 i- i ∑ ∑ n d- n d = SSTR T 2 .. i 2 i. r =1 i ∑ Correlation Test Reject ε : H are normally distributed if calculated correlation coefficient between the residuals and their expected value under normality is < tabulated value in B6 where z } e { E ij ∝ for z such that 1/4 + n 3/8- k = ) z P(Z i ≤ , if testing within each factor level Transformations : Y = Y : i 2 i ′ ∝ μ σ (Y) = Y : i i log ′ ∝ μ σ 1/Y = Y : 2 i i ′ ∝ μ σ response a proportion: Y 2 = Y arcsin ′ Linear combinations: μ i i r =1 i c = L ∑ Y c = L i....
View Full Document

Page1 / 2

FORMULEXw11 - SINGLE FACTOR FIXED MODEL I Y ij = jth...

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

View Full Document Right Arrow Icon
Ask a homework question - tutors are online