solve_participation_model

A unified wrapper that calls `nleqslv::nleqslv()` to solve the
system of estimating equations \(g(\beta) = 0\), then validates the
result via `check_nleqslv_result()`.

internal

Provides pseudo-weighted estimates of means and
prevalences for finite population inference from nonprobability
samples using auxiliary information from one or multiple probability
reference surveys. The package supports estimation with multiple
reference surveys, allowing auxiliary information to be combined
when no single survey contains all variables relevant to
participation. Optional cumulative precalibration can be applied to
align weighted totals of shared variables across surveys. Methods
are based on the generalized estimating equations framework of
Landsman et al. (2026) <doi:10.1002/sim.70403> for correcting
participation bias. For a single reference survey, the package
implements the raking ratio calibration method and includes the
adjusted logistic propensity (ALP) method of Wang, Valliant, and Li
(2021) <doi:10.1002/sim.9122>, as well as the Chen-Li-Wu (CLW)
method of Chen, Li, and Wu (2020) <doi:10.1080/01621459.2019.1677241>.
Analytic variance estimation uses Taylor linearization and accounts
for complex sampling designs in the reference surveys via integration
with the 'survey' package.

Jiakun Lin

nonprobsampling

Inference for Nonprobability Samples Using Multiple Reference
Surveys

Victoria Landsman

Aya A. Mitani

solve_participation_model function

<dl><dt>beta_start</dt>
<dd>Numeric vector of starting values for the coefficient
vector \(\beta\).</dd>
<dt>fn</dt>
<dd>Function returning the estimating equation vector \(g(\beta)\).</dd>
<dt>jac</dt>
<dd>Function returning the Jacobian matrix \(J(\beta)\).</dd>
<dt>label</dt>
<dd>Character string used as a prefix in error messages to
identify the calling method.</dd>
<dt>control</dt>
<dd>A list created by `pw_solver_control()`.</dd>
<dt>...</dt>
<dd>Additional arguments passed to `fn` and `jac`
(e.g., design matrices and weights).</dd></dl>

Arguments

Solve the participation model estimating equations — solve_participation_model

<dl>

<dt>beta_start</dt>
<dd>Numeric vector of starting values for the coefficient
vector \(\beta\).</dd>


<dt>fn</dt>
<dd>Function returning the estimating equation vector \(g(\beta)\).</dd>


<dt>jac</dt>
<dd>Function returning the Jacobian matrix \(J(\beta)\).</dd>


<dt>label</dt>
<dd>Character string used as a prefix in error messages to
identify the calling method.</dd>


<dt>control</dt>
<dd>A list created by `pw_solver_control()`.</dd>


<dt>...</dt>
<dd>Additional arguments passed to `fn` and `jac`
(e.g., design matrices and weights).</dd>

</dl>

solve_participation_model: Solve the participation model estimating equations

Description

Usage

Value

Arguments