L_step3

Function to estimate the latent logistic regression models at the initial state and transition

Implementation of the three-step approach of latent transition cognitive diagnosis model (CDM) with covariates. This approach can be used to assess changes in attribute mastery status and to evaluate the covariate effects on both the initial states and transition probabilities over time using latent logistic regression. Because stepwise approaches often yield biased estimates, correction for classification error probabilities (CEPs) is considered in this approach. The three-step approach for latent transition CDM with covariates involves the following steps: (1) fitting a CDM to the response data without covariates at each time point separately, (2) assigning examinees to latent states at each time point and computing the associated CEPs, and (3) estimating the latent transition CDM with the known CEPs and computing the regression coefficients. The method was proposed in Liang et al. (2023) <doi:10.3102/10769986231163320> and demonstrated using mental health data in Liang et al. (in press; annotated R code and data utilized in this example are available in Mendeley data) <doi:10.17632/kpjp3gnwbt.1>.

Qianru Liang

LTCDM

Latent Transition Cognitive Diagnosis Model with Covariates

Jimmy de la Torre

Jingping Du

L_step3 function

<dl><dt>par</dt>
<dd>Coefficients of latent logistic regression to be estimated.</dd>
<dt>z_t1</dt>
<dd>covariates at Time 1, which has already had the intercept column (1s).</dd>
<dt>z_t2</dt>
<dd>covariates at Time 2, which has already had the intercept column (1s).</dd>
<dt>weight</dt>
<dd>Correction weight obtained from CEP.</dd>
<dt>k</dt>
<dd>The k-th attribute.</dd></dl>

Arguments

Step 3 estimation for latent logistic regression coefficients — L_step3

<dl>

<dt>par</dt>
<dd>Coefficients of latent logistic regression to be estimated.</dd>


<dt>z_t1</dt>
<dd>covariates at Time 1, which has already had the intercept column (1s).</dd>


<dt>z_t2</dt>
<dd>covariates at Time 2, which has already had the intercept column (1s).</dd>


<dt>weight</dt>
<dd>Correction weight obtained from CEP.</dd>


<dt>k</dt>
<dd>The k-th attribute.</dd>

</dl>

L_step3: Step 3 estimation for latent logistic regression coefficients

Description

Usage

Value

Arguments

References