a_b_hat

Helper function for monotonicity test

internal

arith

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

a_b_hat 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.</dd> <dt>Y</dt>
<dd>Vector of Y values.</dd></dl>

Arguments

Author

Helper function — a_b_hat

<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.</dd>

 <dt>Y</dt>
<dd>Vector of Y values.</dd>

</dl>

a_b_hat: Helper function

Description

Usage

Value

Arguments

Author