Helper function for monotonicity test; should not be called directly by user.

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

Q function

<dl> <dt>r</dt>
<dd>Index to start summation.</dd> <dt>s</dt>
<dd>Index to end summation.</dd> <dt>X</dt>
<dd>Vector of X values over which to sum.</dd></dl>

Arguments

Author

Helper function for monotonicity test — Q

<dl>

 <dt>r</dt>
<dd>Index to start summation.</dd>

 <dt>s</dt>
<dd>Index to end summation.</dd>

 <dt>X</dt>
<dd>Vector of X values over which to sum.</dd>

</dl>

Q: Helper function for monotonicity test

Description

Usage

Value

Arguments

Author

References