modified_S_stat

Calculates the value of the test statistic in the NNR test.

internal

Provides functions to nonparametrically assess assumptions necessary to prevent the surrogate paradox through hypothesis tests of stochastic dominance, monotonicity of regression functions, and non-negative residual treatment effects. More details are available in Hsiao et al 2025 (under review). A tutorial for this package can be found at <https://laylaparast.com/home/SurrogateParadoxTest.html>.

Emily Hsiao

SurrogateParadoxTest

Empirical Testing of Surrogate Paradox Assumptions

modified_S_stat function

<dl> <dt>mu0_hat</dt>
<dd>Kernel-smoothed estimate of \(\mu_0\) function.</dd> <dt>mu1_hat</dt>
<dd>Kernel-smoothed estimate of \(\mu_1\) function.</dd> <dt>s0</dt>
<dd>Vector of surrogate values in control group.</dd> <dt>y0</dt>
<dd>Vector of endpoint values in control group.</dd> <dt>s1</dt>
<dd>Vector of surrogate values in treatment group.</dd> <dt>y1</dt>
<dd>Vector of endpoing values in the treatment group.</dd> <dt>grid_x</dt>
<dd>Values of s over which supremum is calculated.</dd> <dt>boot</dt>
<dd>Whether this is a bootstrapped statistic or the test statistic.</dd></dl>

Arguments

Author

Helper function for non-negative residual treatment effect test. — modified_S_stat

<dl>

 <dt>mu0_hat</dt>
<dd>Kernel-smoothed estimate of \(\mu_0\) function.</dd>

 <dt>mu1_hat</dt>
<dd>Kernel-smoothed estimate of \(\mu_1\) function.</dd>

 <dt>s0</dt>
<dd>Vector of surrogate values in control group.</dd>

 <dt>y0</dt>
<dd>Vector of endpoint values in control group.</dd>

 <dt>s1</dt>
<dd>Vector of surrogate values in treatment group.</dd>

 <dt>y1</dt>
<dd>Vector of endpoing values in the treatment group.</dd>

 <dt>grid_x</dt>
<dd>Values of s over which supremum is calculated.</dd>

 <dt>boot</dt>
<dd>Whether this is a bootstrapped statistic or the test statistic.</dd>

</dl>

modified_S_stat: Helper function for non-negative residual treatment effect test.

Description

Usage

Value

Arguments

Author