lsirm.formula

Analysis of dichotomous, ordinal, and continuous response data using latent space item response models (LSIRMs). Provides 1PL and 2PL LSIRMs for binary response data as described in Jeon et al. (2021) <doi:10.1007/s11336-021-09762-5>, extensions for continuous response data, and graded response models (GRM) for Likert-scale ordinal data as described in De Carolis et al. (2025) <doi:10.1080/00273171.2025.2605678>. Supports Bayesian model selection with spike-and-slab priors, adaptive MCMC algorithms, and methods for handling missing data under missing at random (MAR) and missing completely at random (MCAR) assumptions. Provides various diagnostic plots to inspect the latent space and summaries of estimated parameters.

Gwanghee Kim

lsirm12pl

Latent Space Item Response Model

Dongyoung Go

Jina Park

Ickhoon Jin

Minjeong Jeon

lsirm.formula function

<dl><dt>formula</dt>
<dd>The form of formula is <code>lsirm(A ~ &lt;term 1&gt;(&lt;term 2&gt;, &lt;term 3&gt; ...))</code>, where <code>A</code> is an item response matrix to be analyzed, <code>&lt;term1&gt;</code> is the model you want to fit and has one of the following values: "lsirm1pl", "lsirm2pl", "lsirmgrm", and "lsirmgrm2pl"., and <code>&lt;term 2&gt;</code>, <code>&lt;term 3&gt;</code>, etc., are each option for the model.</dd>
<dt>...</dt>
<dd>Additional arguments for the corresponding function.</dd></dl>

Arguments

Formula function for LSIRM — lsirm.formula

<dl>

<dt>formula</dt>
<dd>The form of formula is <code>lsirm(A ~ &lt;term 1&gt;(&lt;term 2&gt;, &lt;term 3&gt; ...))</code>, where <code>A</code> is an item response matrix to be analyzed, <code>&lt;term1&gt;</code> is the model you want to fit and has one of the following values: "lsirm1pl", "lsirm2pl", "lsirmgrm", and "lsirmgrm2pl"., and <code>&lt;term 2&gt;</code>, <code>&lt;term 3&gt;</code>, etc., are each option for the model.</dd>


<dt>...</dt>
<dd>Additional arguments for the corresponding function.</dd>

</dl>

Formula function for LSIRM

lsirm.formula: Formula function for LSIRM

Description

Usage

Arguments