projection.ip

Projects the columns of the matrix <code>M</code> on the space spanned by the
 columns of the matrix <code>X</code>, with respect to the inner product
 defined by <code>weight</code>: <code>&lt;x|y&gt;=sum(x*w*y)</code>.

array

Functions for demographic and epidemiological analysis in
the Lexis diagram, i.e. register and cohort follow-up data. In
particular representation, manipulation, rate estimation and
simulation for multistate data - the Lexis suite of functions, which
includes interfaces to 'mstate', 'etm' and 'cmprsk' packages.
Contains functions for Age-Period-Cohort and Lee-Carter modeling and
a function for interval censored data and some useful functions for
tabulation and plotting, as well as a number of epidemiological data
sets.

Bendix Carstensen

Statistical Analysis in Epidemiology

Martyn Plummer

Esa Laara

Michael Hills

projection.ip function

<dl> <dt>X</dt>
<dd>Matrix defining the space to project onto.</dd> <dt>M</dt>
<dd>Matrix of columns to be projected. Must have the same number
 of rows as <code>X</code>.</dd> <dt>orth</dt>
<dd>Should the projection be on the orthogonal complement to
 <code>span(X)</code>?</dd> <dt>weight</dt>
<dd>Weights defining the inner product. Numerical vector of
 length <code>nrow(X)</code>.</dd></dl>

Arguments

Bendix Carstensen, Steno Diabetes Center,
 <a href="http://bendixcarstensen.com">http://bendixcarstensen.com</a>, with help from Peter Dalgaard.

Author

Projection of columns of a matrix. — projection.ip

<dl>

 <dt>X</dt>
<dd>Matrix defining the space to project onto.</dd>

 <dt>M</dt>
<dd>Matrix of columns to be projected. Must have the same number
 of rows as <code>X</code>.</dd>

 <dt>orth</dt>
<dd>Should the projection be on the orthogonal complement to
 <code>span(X)</code>?</dd>

 <dt>weight</dt>
<dd>Weights defining the inner product. Numerical vector of
 length <code>nrow(X)</code>.</dd>

</dl>

Bendix Carstensen, Steno Diabetes Center,
 <a href='http://bendixcarstensen.com'>http://bendixcarstensen.com</a>, with help from Peter Dalgaard.

projection.ip: Projection of columns of a matrix.

Description

Usage

Value

Arguments

Author

See Also