meclight function

Minimal Error Classification

Computer intensive method for linear dimension reduction that minimizes the classification error directly.

meclight(x, ...)

## Default S3 method:
meclight(x, grouping, r = 1, fold = 10, ...)
## S3 method for class 'formula'
meclight(formula, data = NULL, ..., subset, na.action = na.fail)
## S3 method for class 'data.frame'
meclight(x, ...)
## S3 method for class 'matrix'
meclight(x, grouping, ..., subset, na.action = na.fail)

Arguments

• x: (required if no formula is given as the principal argument.) A matrix or data frame containing the explanatory variables.
• grouping: (required if no formula principal argument is given.) A factor specifying the class for each observation.
• r: Dimension of projected subspace.
• fold: Number of Bootstrap samples.
• formula: A formula of the form groups ~ x1 + x2 + .... That is, the response is the grouping factor and the right hand side specifies the (non-factor) discriminators.
• data: Data frame from which variables specified in formula are preferentially to be taken.
• subset: An index vector specifying the cases to be used in the training sample. (NOTE: If given, this argument must be named.)
• na.action: A function to specify the action to be taken if NAs are found. The default action is for the procedure to fail. An alternative is na.omit, which leads to rejection of cases with missing values on any required variable. (NOTE: If given, this argument must be named.)
• ...: Further arguments passed to lda.

Details

Computer intensive method for linear dimension reduction that minimizes the classification error in the projected subspace directly. Classification is done by lda. In contrast to the reference function minimization is done by Nelder-Mead in optim.

Returns

• method.model: An object of class lda .

• Proj.matrix: Projection matrix.

• B.error: Estimated bootstrap error rate.

• B.impro: Improvement in lda error rate.

References

Roehl, M.C., Weihs, C., and Theis, W. (2002): Direct Minimization in Multivariate Classification. Computational Statistics, 17, 29-46.

Author(s)

Maria Eveslage, Karsten Luebke, karsten.luebke@fom.de

See Also

predict.meclight

Examples

data(iris)
meclight.obj <- meclight(Species ~ ., data = iris)
meclight.obj