fitqtl {qtl}R Documentation

Fit a multiple-QTL model

Description

Fits a user-specified multiple-QTL model. If specified, a drop-one-term analysis will be performed.

Usage

fitqtl(cross, pheno.col=1, qtl, covar=NULL, formula, method=c("imp", "hk"),
       dropone=TRUE, get.ests=FALSE, run.checks=TRUE)

Arguments

cross An object of class cross. See read.cross for details.
pheno.col Column number in the phenotype matrix which should be used as the phenotype. One may also give a character string matching a phenotype name. Finally, one may give a numeric vector of phenotypes, in which case it must have the length equal to the number of individuals in the cross, and there must be either non-integers or values < 1 or > no. phenotypes; this last case may be useful for studying transformations.
qtl An object of class qtl, as output from makeqtl.
covar A matrix or data.frame of covariates. These must be strictly numeric.
formula An object of class formula indicating the model to be fitted. (It can also be the character string representation of a formula.) QTLs are referred to as Q1, Q2, etc. Covariates are referred to by their names in the data frame covar.
method Indicates whether to use multiple imputation or Haley-Knott regression.
dropone If TRUE, do drop-one-term analysis.
get.ests If TRUE, return estimated QTL effects and their estimated variance-covariance matrix.
run.checks If TRUE, check the input formula and check for individuals with missing phenotypes or covariates.

Details

The formula is used to specified the model to be fit. In the formula, use Q1, Q2, etc., or q1, q2, etc., to represent the QTLs, and the column names in the covariate data frame to represent the covariates.

We enforce a hierarchical structure on the model formula: if a QTL or covariate is in involved in an interaction, its main effect must also be included.

In the drop-one-term analysis, for a given QTL/covariate model, all submodels will be analyzed. For each term in the input formula, when it is dropped, all higher order terms that contain it will also be dropped. The comparison between the new model and the full (input) model will be output.

The part to get estimated QTL effects is fully working only for the case of autosomes in a backcross or intercross. In other cases the values returned are based on a design matrix that is convenient for calculations but not easily interpreted.

Value

An object of class fitqtl. It may contains as many as four fields:

  1. result.full is the ANOVA table as a matrix for the full model result. It contains the degree of freedom (df), Sum of squares (SS), mean square (MS), LOD score (LOD), percentage of variance explained (%var) and P value (Pvalue).
  2. lod is the LOD score from the fit of the full model.
  3. result.drop is a drop-one-term ANOVA table as a matrix. It contains degrees of freedom (df), Type III sum of squares (Type III SS), LOD score(LOD), percentage of variance explained (%var), F statistics (F value), and P values for chi square (Pvalue(chi2)) and F distribution (Pvalue(F)).

    Note that the degree of freedom, Type III sum of squares, the LOD score and the percentage of variance explained are the values comparing the full to the sub-model with the term dropped. Also note that for imputation method, the percentage of variance explained, the the F values and the P values are approximations calculated from the LOD score.

  4. ests contains the estimated QTL effects and standard errors.

    The part to get estimated QTL effects is fully working only for the case of autosomes in a backcross or intercross. In other cases the values returned are based on a design matrix that is convenient for calculations but not easily interpreted.

Author(s)

Hao Wu; Karl W Broman, kbroman@biostat.wisc.edu

References

Haley, C. S. and Knott, S. A. (1992) A simple regression method for mapping quantitative trait loci in line crosses using flanking markers. Heredity 69, 315–324.

Sen, 'S. and Churchill, G. A. (2001) A statistical framework for quantitative trait mapping. Genetics 159, 371–387.

See Also

summary.fitqtl, makeqtl, scanqtl, refineqtl, addtoqtl , dropfromqtl, replaceqtl, reorderqtl

Examples

data(fake.f2)

# take out several QTLs and make QTL object
qc <- c(1, 8, 13)
qp <- c(26, 56, 28)
fake.f2 <- subset(fake.f2, chr=qc)

fake.f2 <- calc.genoprob(fake.f2, step=2, err=0.001)
qtl <- makeqtl(fake.f2, qc, qp, what="prob")

# fit model with 3 interacting QTLs interacting
# (performing a drop-one-term analysis)
lod <- fitqtl(fake.f2, pheno.col=1, qtl, formula=y~Q1*Q2*Q3, method="hk")
summary(lod)

## Not run: 
# fit an additive QTL model
lod.add <- fitqtl(fake.f2, pheno.col=1, qtl, formula=y~Q1+Q2+Q3, method="hk")
summary(lod.add)

# fit the model including sex as an interacting covariate
Sex <- data.frame(Sex=pull.pheno(fake.f2, "sex"))
lod.sex <- fitqtl(fake.f2, pheno.col=1, qtl, formula=y~Q1*Q2*Q3*Sex,
                  cov=Sex, method="hk")
summary(lod.sex)

# fit the same with an additive model
lod.sex.add <- fitqtl(fake.f2, pheno.col=1, qtl, formula=y~Q1+Q2+Q3+Sex,
                      cov=Sex, method="hk")
summary(lod.sex.add)
## End(Not run)

[Package qtl version 1.11-12 Index]