TTC_ic_log_wei

calculates the confidence interval of the time TTC using
delta method by assuming normality on log scale of TTC.
<code>IC = exp(log(TTC) +/- z*sqrt(var(log(TTC))))</code>,
where <code>Var(log(TTC)) = (dlog(TTC)/dtheta)Var(theta)(dlog(TTC)/dtheta)^T</code>.
Note that this function is for mixture cure model with Weibull distribution
considered for uncured patients.

internal

Fits a variety of cure models using excess hazard modeling methodology such as the mixture model proposed by Phillips et al. (2002) <doi:10.1002/sim.1101> The Weibull distribution is used to represent the survival function of the uncured patients; Fits also non-mixture cure model such as the time-to-null excess hazard model proposed by Boussari et al. (2020) <doi:10.1111/biom.13361>.

Juste Goungounga

curesurv

Mixture and Non Mixture Parametric Cure Models to Estimate Cure
Indicators

Judith Breaud

Olayide Boussari

Laura Botta 

Valerie Jooste

TTC_ic_log_wei function

<dl><dt>object</dt>
<dd>An object of class <code>curesurv</code>.</dd>
<dt>z_pcured</dt>
<dd>covariates matrix acting on cure proportion</dd>
<dt>z_ucured</dt>
<dd>covariates matrix acting on survival function of uncured</dd>
<dt>epsilon</dt>
<dd>value fixed by user to estimate the TTC \(\text{Pi}(t)\geq (1-\epsilon)\).
By default \(\epsilon = 0.05\).</dd>
<dt>level</dt>
<dd><code>1-alpha/2</code>-order quantile of a normal distribution</dd>
<dt>TTC</dt>
<dd>time to cure calculated by TTC_wei</dd>
<dt>Dttc</dt>
<dd>partial derivates of TTC by dTTCdtheta_wei</dd></dl>

Arguments

TTC_ic_log_wei function — TTC_ic_log_wei

<dl>

<dt>object</dt>
<dd>An object of class <code>curesurv</code>.</dd>


<dt>z_pcured</dt>
<dd>covariates matrix acting on cure proportion</dd>


<dt>z_ucured</dt>
<dd>covariates matrix acting on survival function of uncured</dd>


<dt>epsilon</dt>
<dd>value fixed by user to estimate the TTC \(\text{Pi}(t)\geq (1-\epsilon)\).
By default \(\epsilon = 0.05\).</dd>


<dt>level</dt>
<dd><code>1-alpha/2</code>-order quantile of a normal distribution</dd>


<dt>TTC</dt>
<dd>time to cure calculated by TTC_wei</dd>


<dt>Dttc</dt>
<dd>partial derivates of TTC by dTTCdtheta_wei</dd>

</dl>

TTC_ic_log_wei: TTC_ic_log_wei function

Description

Usage

Arguments