selectedQr

Runs a matrix through the QR decomposition and returns the transformed matrix and the forward and inverse transforming matrices
<code>R, Rinv</code>. If columns of the input matrix <code>X</code> are centered the QR transformed matrix will be orthogonal.
This is helpful in understanding the transformation and in scaling prior distributions on the transformed scale.
<code>not</code> can be specified to keep selected columns as-is.
<code>cornerQr</code> leaves the last column of <code>X</code> alone (possibly after centering).
When <code>not</code> is specified, the square transforming matrices have appropriate identity submatrices inserted
so that recreation of original <code>X</code> is automatic.

Build CPMs (cumulative probability models, also known as cumulative link models) to account for detection limits (both single and multiple detection limits) in response variables. Conditional quantiles and conditional CDFs can be calculated based on fitted models. The package implements methods described in Tian, Y., Li, C., Tu, S., James, N. T., Harrell, F. E., & Shepherd, B. E. (2022). "Addressing Detection Limits with Semiparametric Cumulative Probability Models". <arXiv:2207.02815>.

Yuqi Tian

multipleDL

Addressing Detection Limits by Cumulative Probability Models
(CPMs)

Chun Li

Shengxin Tu

Nathan James

Frank Harrell

Bryan Shepherd

selectedQr function

<dl><dt>X</dt>
<dd>a numeric matrix</dd>
<dt>not</dt>
<dd>an integer vector specifying which columns of <code>X</code> are to be kept with their original values</dd>
<dt>corner</dt>
<dd>set to <code>FALSE</code> to not treat the last column specially. You may not specify both <code>not</code> and <code>corner</code>.</dd>
<dt>center</dt>
<dd>set to <code>FALSE</code> to not center columns of <code>X</code> first</dd></dl>

Arguments

QR Decomposition Preserving Selected Columns — selectedQr

<dl>

<dt>X</dt>
<dd>a numeric matrix</dd>


<dt>not</dt>
<dd>an integer vector specifying which columns of <code>X</code> are to be kept with their original values</dd>


<dt>corner</dt>
<dd>set to <code>FALSE</code> to not treat the last column specially. You may not specify both <code>not</code> and <code>corner</code>.</dd>


<dt>center</dt>
<dd>set to <code>FALSE</code> to not center columns of <code>X</code> first</dd>

</dl>

selectedQr: QR Decomposition Preserving Selected Columns

Description

Usage

Value

Arguments