where
For further details on the notation, go to the Methods section.
where
Term | Description |
---|---|
Zi | the n x mi matrix of known codings for the ith random effect in the model |
Z' | the transpose of Z |
y | the vector of the response values |
X | the design matrix |
b | the estimated coefficients for the fixed effects |
![]() | the variance component of the ith random factor |
![]() | the variance component for error |
Im | the identity matrix with m rows and columns |
where
Term | Description |
---|---|
![]() | a vector with value 1 at the ![]() ![]() |
W | the asymptotic variance-covariance matrix of the variance component estimates |
For further details on the notation, go to the Methods section.
The two-sided p-value for the null hypothesis that a Best Linear Unbiased Predictor (BLUP) equals 0 is:
Term | Description |
---|---|
![]() | The probability that under the null hypothesis T is less than the absolute value of the calculated ![]() |
![]() | The t value for the ![]() |