compute_D_ALP

Internal helper to compute
$$D = Var_p\left( \sum_{j \in s_p} d_j p_j x_j \right)$$
from an existing survey design object created by
survey::svydesign() or survey::svrepdesign().

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

compute_D_ALP function

<dl><dt>sp_des</dt>
<dd>A survey design object of class `"survey.design2"` or
`"svyrep.design"`.</dd>
<dt>p_sp</dt>
<dd>Numeric vector of estimated participation probabilities
for the probability sample. Length must equal the number of rows in
`sp_des$variables`.</dd>
<dt>Xp</dt>
<dd>Numeric matrix of dimension `n_p x p`. Each row is the
covariate vector `x_j` used in the ALP estimating equation.</dd></dl>

Arguments

Compute design-based covariance matrix D for ALP — compute_D_ALP

<dl>

<dt>sp_des</dt>
<dd>A survey design object of class `"survey.design2"` or
`"svyrep.design"`.</dd>


<dt>p_sp</dt>
<dd>Numeric vector of estimated participation probabilities
for the probability sample. Length must equal the number of rows in
`sp_des$variables`.</dd>


<dt>Xp</dt>
<dd>Numeric matrix of dimension `n_p x p`. Each row is the
covariate vector `x_j` used in the ALP estimating equation.</dd>

</dl>

compute_D_ALP: Compute design-based covariance matrix D for ALP

Description

Usage

Value

Arguments

Details