yield ~ mu variety mv !r blocks
Reserved model terms | |||
mu | constant term or intercept | fixed | |
mv | a term to estimate missing values | fixed | |
Trait | multivariate counterpart to mu | fixed | |
units | forms a factor with a level for each experimental unit | random | |
Operators | |||
: | placed between labels to specify an interaction | both | |
/ | forms nested expansion | both | |
* | forms factorial expansion | fixed | |
- | placed before model terms to exclude them from the model | both | |
, | at the end of a line indicates the model specification continues on the next line | both | |
+ | treated as a space | both | |
!{ ... !} | placed around some model terms when it is important the terms not be reordered | random | |
Common functions | |||
at(f,n) | condition on level n of factor f. n may be a list of values | both | |
at(f) | forms conditioning covariables for all levels of factor f | both | |
fac(v) | forms a factor from v with a level for each unique value in v | both | |
fac(v,y) | forms a factor with a level for each combination of values in v and y | random | |
lin(f) | forms a variable from the factor f with values equal to 1... n corresponding to level(1) ... level( n) of the factor | both | |
spl(v)
spl(v,k) | forms the design matrix for the random component of a cubic spline for variable v | random | |
other functions | |||
and(t)
and(t,r) | adds r times the design matrix for model term t to the previous design matrix; r has a default value of 1. | both | |
bis(X,Y,n) | calculates basis functions using the bisquare function | random | |
c(f)
con(f) | factor f is fitted with sum to zero constraints | fixed | |
cos(v,r) | forms cosine from v with period r | fixed | |
fam(f,c) | is a factor derived using the !FAMILY qualifier by grouping levels of data factor f | fixed | |
ge(f,r) | condition on factor/variable f | gt= r | fixed |
giv(f,n) | associates the nth .giv G-inverse with the factor f | random | |
grr(f,n) | fits the nth variable in the .grr file, linked through the factor f | both | |
gt(f,r) | condition on factor/variable f | gt r | fixed |
h(f) | factor f is fitted with Helmert constraints | fixed | |
ide(f) | fits pedigree factor f without relationship matrix | random | |
inv(v)
inv(v,r) | forms reciprocal of v + r | fixed | |
le(f,r) | condition on factor/variable f | lt= r | fixed |
leg(v,[-]n) | forms n+1 legendre polynomials of order 0 (intercept), 1 (linear) ... n from the values in v; the intercept polynomial is omitted if v is preceded by the negative sign. | fixed | |
lt(f,r) | condition on factor/variable f | lt r | fixed |
log(v[,r]) | forms natural logarithm of v + r | fixed | |
ma1(f) | constructs MA1 design matrix for factor f | random | |
ma1 | forms an MA1 design matrix from plot numbers | random | |
mbf(f,c) | is a set of c covariates derived using the !MBF qualifier from data variable/factor f | fixed | |
out(n) | condition on observation n | fixed | |
out(n,t) | condition on record n, trait t | fixed | |
pol(v,[-]n) | forms n+1 orthogonal polynomials of order 0 (intercept), 1 (linear) ... n from the values in v; the intercept polynomial is omitted if n is preceded by the negative sign. | both | |
pow(v,p[,r]) | raises v + r to power p | fixed | |
qtl(f,r) | impute a covariable from marker map information at position r | fixed | |
sin(v,r) | forms sine from v with period r | both | |
sqrt(f[,r]) | forms square root of v + r | fixed | |
uni(f) | forms a factor with a level for each record where factor f is non-zero | random | |
uni(f,n) | forms a factor with a level for each record where factor f has level n | random | |
vect(f) | associates the ith column of !G factor f with the ith trait | fixed | |
xfa(f,k) | is formally a copy of factor f with k extra levels. This is used when fitting extended factor analytic models ( XFA, of order k. | random |