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36 cov.wml<br />

cov.wml<br />

Weighted Covari<strong>an</strong>ce Matrices (Maximum Likelihood)<br />

Description<br />

Returns a list containing estimates of the weighted covari<strong>an</strong>ce matrix <strong>an</strong>d the me<strong>an</strong> of the data, <strong>an</strong>d<br />

optionally of the (weighted) correlation matrix. The covari<strong>an</strong>ce matrix is divided by the sum of the<br />

weights, corresponding to n <strong>an</strong>d the ML-estimator in the case of equal weights, as opposed to n-1<br />

<strong>for</strong> cov.wt.<br />

Usage<br />

cov.wml(x, wt = rep(1/nrow(x), nrow(x)), cor = FALSE, center = TRUE)<br />

Arguments<br />

x<br />

wt<br />

cor<br />

center<br />

a matrix or data frame. As usual, rows are observations <strong>an</strong>d columns are variables.<br />

a non-negative <strong>an</strong>d non-zero vector of weights <strong>for</strong> each observation. Its length<br />

must equal the number of rows of x.<br />

A logical indicating whether the estimated correlation weighted matrix will be<br />

returned as well.<br />

Either a logical or a numeric vector specifying the centers to be used when<br />

computing covari<strong>an</strong>ces. If TRUE, the (weighted) me<strong>an</strong> of each variable is used,<br />

if ‘FALSE, zero is used. If center is numeric, its length must equal the number<br />

of columns of x.<br />

Value<br />

A list containing the following named components:<br />

cov<br />

the estimated (weighted) covari<strong>an</strong>ce matrix.<br />

center <strong>an</strong> estimate <strong>for</strong> the center (me<strong>an</strong>) of the data.<br />

n.obs the number of observations (rows) in x.<br />

wt<br />

the weights used in the estimation. Only returned if given as <strong>an</strong> argument.<br />

cor<br />

the estimated correlation matrix. Only returned if ‘cor’ is ‘TRUE’.<br />

Author(s)<br />

Christi<strong>an</strong> Hennig http://www.homepages.ucl.ac.uk/~ucakche/<br />

See Also<br />

cov.wt, cov, var

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