Homogeneity of Variance Plot

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Description

Oneway analysis of variance makes the assumption that the variances of the groups are equal. Brown and Forsyth, 1974 present the recommended test of this assumption. The Brown and Forsyth test statistic is the F statistic resulting from an ordinary one-way analysis of variance on the absolute deviations from the median. The hovPlot function graphs the components of the Brown and Forsyth test statistic.

Usage

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hovPlot(x, data = sys.parent(), method = "bf",  ## x is a formula
        transpose = TRUE, ...)

## users will normally use the formula above and will not call the
## method directly.
hovPlot.bf(x, group,  ## x is the response variable
           y.name = deparse(substitute(x)),
           group.name = deparse(substitute(group)),
           transpose = TRUE, ...)

## users will normally use the formula above and will not call the
## panel function directly.
panel.hov(..., transpose = TRUE)

Arguments

x

Formula appropriate for oneway anova in hovPlot. Response variable in hovPlot.bf.

data

data.frame

method

Character string defining method. At this time the only recognized method is "bf" for the Brown-Forsyth method.

transpose

Always TRUE in R. Normally TRUE in S-Plus to force vertical boxplots.

group

factor.

y.name

name of response variable, defaults to variable name in formula.

group.name

name of factor, defaults to variable name in formula.

...

additional arguments.

Value

"trellis" object with three panels containing boxplots for each group: The observed data "y", the data with the median subtracted "y-med(y)", and the absolute deviations from the median "abs(y-med(y))" The Brown and Forsyth test statistic is the F statistic resulting from an ordinary one-way analysis of variance on the data points in the third panel.

Author(s)

Richard M. Heiberger <rmh@temple.edu>

References

Heiberger, Richard M. and Holland, Burt (2004b). Statistical Analysis and Data Display: An Intermediate Course with Examples in S-Plus, R, and SAS. Springer Texts in Statistics. Springer. ISBN 0-387-40270-5.

Brown, M.~B. and Forsyth, A.~B. (1974). Robust tests for equality of variances. Journal of the American Statistical Association, 69:364–367.

See Also

aov, hov

Examples

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data(turkey)

hov(wt.gain ~ diet, data=turkey)
hovPlot(wt.gain ~ diet, data=turkey)

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