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Walter Szeliga > Statistics-Robust-0.02 > Statistics::Robust::Scale

# NAME

Statistics::Robust::Scale - Robust Measures of Scale

# SYNOPSIS

``` my @x = (1,4,5,3,7,2,4);

my(\$ql,qu) = idealf(\@x);
my(\$winvar) = winvar(\@x);```

# FUNCTIONS

``` my(\$mad) = MAD(\@x);

Return the non-normalized Median Absolute Deviation.```

``` my(\$madn) = MADN(\@x);

Return the Median Absolute Deviation normalized by the 0.75 quartile of the normal distribution.```

## idealf

``` my(\$ql,\$qu) = idealf(\@x);

Return the Ideal Fourths estimate of the lower and upper quartiles (in that order).```

## winvar

``` my(\$winvar) = winvar(\@x,\$tr);

Return the Winsorized variance.  If the amount of trimming (\$tr) is not specified, it defaults to 0.2.```

## trimvar

``` my(\$trimvar) = trimvar(\@x,\$tr);

Return the variance for the trimmed mean with \$tr trimming.  If the amount of trimming is not specified,
it defaults to 0.2.```

## variance

``` my(\$var) = variance(\@x);

The unbiased sample variance.```

## msmedse

``` my(\$mse) = msmedse(\@x);

An estimate of the standard error of the median.```

## pbvar

``` my(\$pb) = pbvar(\@x, \$beta);

The percentage-bend midvariance```

# AUTHOR

Walter Szeliga `<walter@geology.cwu.edu>`

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