functional_variable-class

functional_variable

A s4 class that represents data of a function-valued variable.
The format is
 \(f_i(t),\ t\in\Omega=[t_0,t_0 + T]\)
 where \(i\) is the observation (subject) index, \(t\) represents the measurement (time) points.

Solve scalar-on-function linear models,
including generalized linear mixed effect model and quantile linear regression model,
and bias correction estimation methods due to measurement error.
Details about the measurement error bias correction methods, see
Luan et al. (2023) <doi:10.48550/arXiv.2305.12624>,
Tekwe et al. (2022) <doi:10.1093/biostatistics/kxac017>,
Zhang et al. (2023) <doi:10.5705/ss.202021.0246>,
Tekwe et al. (2019) <doi:10.1002/sim.8179>.

Heyang Ji

MECfda

Scalar-on-Function Regression with Measurement Error Correction

Ufuk Beyaztas

Nicolas Escobar-Velasquez

Yuanyuan Luan

Xiwei Chen

Mengli Zhang

Roger Zoh

Lan Xue

Carmen Tekwe

functional_variable-class function

<dl>
<dt><code>X</code></dt>
<dd>a matrix \((x_{ij})_{n\times m}\), where \(x_{ij} = f_i(t_j)\), represents the value of \(f_i(t_j)\), each row represent an observation (subject), each column is corresponding to a measurement (time) point.</dd></dl>
<dt><code>t_0</code></dt>
<dd>start of the domain (time period), \(t_0\). Default is 0.</dd>
<dt><code>period</code></dt>
<dd>length of the domain (time period), \(T\). Default is 1.</dd>
<dt><code>t_points</code></dt>
<dd>sequence of the measurement points, \((t_1,\dots,t_m)\). Default is \(t_k = t_0 + \frac{(2k-1)T}{2(m+1)}\).</dd>

Slots

Author

Function-valued variable data. — functional_variable-class

<dl>
<dt><code>X</code></dt>
<dd>a matrix \((x_{ij})_{n\times m}\), where \(x_{ij} = f_i(t_j)\), represents the value of \(f_i(t_j)\), each row represent an observation (subject), each column is corresponding to a measurement (time) point.</dd>


<dt><code>t_0</code></dt>
<dd>start of the domain (time period), \(t_0\). Default is 0.</dd>


<dt><code>period</code></dt>
<dd>length of the domain (time period), \(T\). Default is 1.</dd>


<dt><code>t_points</code></dt>
<dd>sequence of the measurement points, \((t_1,\dots,t_m)\). Default is \(t_k = t_0 + \frac{(2k-1)T}{2(m+1)}\).</dd>


</dl>

Function-valued variable data.

functional_variable-class: Function-valued variable data.

Description

Arguments

Slots

Author

Examples