haplo.ccs (version 1.0)

haplo.ccs: Estimate Haplotype Relative Risks in Case-Control Data

Description

'haplo.ccs' estimates haplotype and covariate relative risks in case-control data by weighted logistic regression. Diplotype probabilities, which are estimated by EM computation with progressive insertion of loci, are utilized as weights. The model is specified by a symbolic description of the linear predictor, which includes specification of an allele matrix and an inheritance mode using 'haplo'. Note that use of this function requires installation of the 'haplo.stats' and 'survival' packages. See 'haplo.em' for a description of EM computation of diplotype probabilities.

Usage

haplo.ccs(formula, ...)

haplo.ccs.fit(y, x, int, geno, inherit.mode, control, referent, names.x,
              names.int, ...)

Arguments

formula

a symbolic description of the model to be fit, which requires specification of an allele matrix and inheritance mode using 'haplo'. Note that although 'haplo' does not specify a default inheritance mode, 'additive' is the default inheritanc

control

a list of control parameters for the EM computation of diplotype probabilities. See 'haplo.em.control'.

referent

a character string representing the haplotype to be used as the referent. The haplotype that has the highest posterior probability is the default referent.

...

optional model-fitting arguments to be passed to 'glm'.

y

a vector of observations.

x

the design matrix for environmental covariates.

int

the design matrix for haplotype-environment interaction.

geno

the allele matrix.

inherit.mode

the inheritance mode specified by 'haplo'.

names.x

the column names of the design matrix for covariates.

names.int

the column names of the design matrix for haplotype-environmental interaction.

Value

• 'haplo.ccs' returns an object of class inheriting from '"haplo.ccs"'. More details appear later in this section. The function 'summary' (i.e., 'summary.haplo.ccs') obtains or prints a summary of the results, which include haplotype and covariate relative risks, robust standard error estimates, and estimated diplotype probabilities. The generic accessory functions 'coefficients', 'fitted.values', and 'residuals' extract corresponding features of the object returned by 'haplo.ccs'. The function 'vcov' (i.e., 'vcov.haplo.ccs') returns sandwich variance-covariance estimates. The function 'haps' extracts information returned by the EM computation of diplotype probabilities. An object of class '"haplo.ccs"' is a list containing at least the following components:
• formula
  the formula supplied.
• call
  the matched call.
• coefficients
  a named vector of coefficients.
• covariance
  a named matrix of sandwich variance-covariance estimates, computed using 'sandcov'.
• residuals
  the working residuals, i.e., the residuals from the final iteration of the IWLS fit.
• fitted.values
  the fitted mean values, obtained by transforming the linear predictors by the expit function.
• linear.predictors
  the linear fit on the logit scale.
• df
  the model degrees of freedom.
• rank
  the numeric rank of the fitted model.
• family
  the family object, in this case, quasibinomial.
• iter
  the number of iterations of IWLS used.
• weights
  the working weights, i.e., the weights from the final iteration of the IWLS fit.
• prior.weights
  the weights initially supplied, in this case, the diplotype probabilities estimated by the EM computation.
• y
  a vector indicating case-control status, expanded for each subject by the number of plausible haplotypes for that subject.
• id
  the numeric vector used to identify subjects, expanded for each subject by the number of plausible haplotypes for that subject.
• converged
  a logical indicating whether the IWLS fit converged.
• boundary
  a logical indicating whether the fitted values are on the boundary of the attainable values.
• model
  the model matrix used.
• terms
  the terms object used.
• offset
  the offset vector used.
• control
  the value of the control argument used.
• contrasts
  the contrasts used.
• xlevels
  a record of the levels of the factors used in fitting.
• inheritance.mode
  the method of inheritance.
• em.lnlike
  the value of the log likelihood at the last EM iteration.
• em.lr
  the likelihood ratio statistic used to test the assumed model against the model that assumes complete linkage equilibrium among all loci.
• em.df.lr
  the degrees of freedom for the likelihood ratio statistic.
• em.nreps
  the count of haplotype pairs that map to each subject's marker genotypes.
• hap1
  character strings representing the possible first haplotype for each subject.
• hap2
  character strings representing the possible second haplotype for each subject.
• hap.names
  character strings representing the unique haplotypes.
• hap.probs
  the estimated frequency of each unique haplotype.
• em.converged
  a logical indicating whether the EM computation converged.
• em.nreps
  the number of haplotype pairs that map to the marker genotypes for each subject.
• em.max.pairs
  the maximum number of pairs of haplotypes per subject that are consistent with their marker data.
• em.control
  a list of control parameters for the EM computation.

Details

A formula has the form 'y ~ terms' where 'y' is a numeric vector indicating case-control status and 'terms' is a series of terms which specifies a linear predictor for 'y'. A terms specification of the form 'first + second' indicates all the terms in 'first' together with all the terms in 'second' with duplicates removed. The terms in the formula will be re-ordered so that main effects come first, followed by the interactions, all second-order, all third-order and so on. The specification 'first*second' indicates the cross of 'first' and 'second'. Note that 'haplo.ccs.fit' is the workhorse function. The inputs 'y', 'x', 'geno', and 'int' represent case-control status, the matrix of covariates, the matrix of alleles, and the matrix of terms that have interaction with the haplotypes to be estimated from the alleles. The argument inherit.mode corresponds to the inheritance mode that is specified by 'haplo'. 'names.x' and 'names.int' correspond to the column names of 'x' and 'int', respectively. The background functions 'one', 'count.haps', and 'return.haps' are used in specifying the model terms and neatly packaging the results.

References

The help files for 'glm' and 'haplo.em' were instrumental in creating this help file.

See Also

glm, haplo.em, haplo.em.control, haplo, sandcov

Examples

data(Renin)

## Fit a model for haplotype effects.

m1 <- haplo.ccs(case ~ haplo(geno[,1:12], mode = "additive"),
                control = haplo.em.control(min.posterior=1e-4), referent = "223144")

## Fit a model for haplotype and covariate effects.

m2 <- haplo.ccs(case ~ gender + age + factor(race) + haplo(geno[,1:12], mode = "additive"),
                control = haplo.em.control(min.posterior=1e-4), referent = "223144")

## Fit a model for haplotype interaction with gender.

m3 <- haplo.ccs(case ~ age + factor(race) + gender*haplo(geno[,1:12], mode = "additive"),
                control = haplo.em.control(min.posterior=1e-4), referent="223144")