When and how to use set-exploratory structural equation modelling to test structural models: A  tutorial using the R package lavaan
Br J Math Stat Psychol. 2024 Feb 15. doi: 10.1111/bmsp.12336. Online ahead of print.ABSTRACTExploratory structural equation modelling (ESEM) is an alternative to the well-known method of confirmatory factor analysis (CFA). ESEM is mainly used to assess the quality of measurement models of common factors but can be efficiently extended to test structural models. However, ESEM may not be the best option in some model specifications, especially when structural models are involved, because the full flexibility of ESEM could result in technical difficulties in model estimation. Thus, set-ESEM was developed to accommodate the ba...
Source: The British Journal of Mathematical and Statistical Psychology - February 16, 2024 Category: Statistics Authors: Herb Marsh Abdullah Alamer Source Type: research

When and how to use set-exploratory structural equation modelling to test structural models: A  tutorial using the R package lavaan
Br J Math Stat Psychol. 2024 Feb 15. doi: 10.1111/bmsp.12336. Online ahead of print.ABSTRACTExploratory structural equation modelling (ESEM) is an alternative to the well-known method of confirmatory factor analysis (CFA). ESEM is mainly used to assess the quality of measurement models of common factors but can be efficiently extended to test structural models. However, ESEM may not be the best option in some model specifications, especially when structural models are involved, because the full flexibility of ESEM could result in technical difficulties in model estimation. Thus, set-ESEM was developed to accommodate the ba...
Source: The British Journal of Mathematical and Statistical Psychology - February 16, 2024 Category: Statistics Authors: Herb Marsh Abdullah Alamer Source Type: research

When and how to use set-exploratory structural equation modelling to test structural models: A  tutorial using the R package lavaan
Br J Math Stat Psychol. 2024 Feb 15. doi: 10.1111/bmsp.12336. Online ahead of print.ABSTRACTExploratory structural equation modelling (ESEM) is an alternative to the well-known method of confirmatory factor analysis (CFA). ESEM is mainly used to assess the quality of measurement models of common factors but can be efficiently extended to test structural models. However, ESEM may not be the best option in some model specifications, especially when structural models are involved, because the full flexibility of ESEM could result in technical difficulties in model estimation. Thus, set-ESEM was developed to accommodate the ba...
Source: The British Journal of Mathematical and Statistical Psychology - February 16, 2024 Category: Statistics Authors: Herb Marsh Abdullah Alamer Source Type: research

Fast estimation of generalized linear latent variable models for performance and process data with ordinal, continuous, and count observed variables
Br J Math Stat Psychol. 2024 Feb 12. doi: 10.1111/bmsp.12337. Online ahead of print.ABSTRACTDifferent data types often occur in psychological and educational measurement such as computer-based assessments that record performance and process data (e.g., response times and the number of actions). Modelling such data requires specific models for each data type and accommodating complex dependencies between multiple variables. Generalized linear latent variable models are suitable for modelling mixed data simultaneously, but estimation can be computationally demanding. A fast solution is to use Laplace approximations, but exis...
Source: The British Journal of Mathematical and Statistical Psychology - February 12, 2024 Category: Statistics Authors: Maoxin Zhang Bj örn Andersson Shaobo Jin Source Type: research

Fast estimation of generalized linear latent variable models for performance and process data with ordinal, continuous, and count observed variables
Br J Math Stat Psychol. 2024 Feb 12. doi: 10.1111/bmsp.12337. Online ahead of print.ABSTRACTDifferent data types often occur in psychological and educational measurement such as computer-based assessments that record performance and process data (e.g., response times and the number of actions). Modelling such data requires specific models for each data type and accommodating complex dependencies between multiple variables. Generalized linear latent variable models are suitable for modelling mixed data simultaneously, but estimation can be computationally demanding. A fast solution is to use Laplace approximations, but exis...
Source: The British Journal of Mathematical and Statistical Psychology - February 12, 2024 Category: Statistics Authors: Maoxin Zhang Bj örn Andersson Shaobo Jin Source Type: research

Identifiability and estimability of Bayesian linear and nonlinear crossed random effects models
This study includes an applied example that utilizes the piecewise CREM with real data and three simulation studies to assess the data conditions necessary to estimate linear, quadratic, and piecewise CREMs. Results show that the number of repeated measurements collected on groups impacts the ability to recover the group effects. Additionally, functional form complexity impacted data collection requirements for estimating longitudinal CREMs.PMID:38264951 | DOI:10.1111/bmsp.12334 (Source: The British Journal of Mathematical and Statistical Psychology)
Source: The British Journal of Mathematical and Statistical Psychology - January 24, 2024 Category: Statistics Authors: Corissa T Rohloff Nidhi Kohli Eric F Lock Source Type: research

Statistical inference for agreement between multiple raters on a binary scale
We present two alternatives. The first is a Wald confidence interval using standard errors obtained by the delta method. The second involves Bayesian statistical inference not requiring any specific Bayesian software. These new procedures show better statistical behaviour than the confidence intervals initially proposed. In addition, we provide analytical formulas to determine the minimum number of persons needed for a given number of raters when planning an agreement study. All methods are implemented in the R package simpleagree and the Shiny app simpleagree.PMID:38233946 | DOI:10.1111/bmsp.12333 (Source: The British Jou...
Source: The British Journal of Mathematical and Statistical Psychology - January 17, 2024 Category: Statistics Authors: Sophie Vanbelle Source Type: research

A cluster differences unfolding method for large datasets of preference ratings on an interval scale: Minimizing the mean squared centred residuals
Br J Math Stat Psychol. 2024 Jan 11. doi: 10.1111/bmsp.12332. Online ahead of print.ABSTRACTClustering and spatial representation methods are often used in combination, to analyse preference ratings when a large number of individuals and/or object is involved. When analysed under an unfolding model, row-conditional linear transformations are usually most appropriate when the goal is to determine clusters of individuals with similar preferences. However, a significant problem with transformations that include both slope and intercept is the occurrence of degenerate solutions. In this paper, we propose a least squares unfold...
Source: The British Journal of Mathematical and Statistical Psychology - January 12, 2024 Category: Statistics Authors: Rodrigo Mac ías J Fernando Vera Willem J Heiser Source Type: research

Correcting for measurement error under meta-analysis of z-transformed correlations
This study mainly concerns correction for measurement error using the meta-analysis of Fisher's z-transformed correlations. The disattenuation formula of Spearman (American Journal of Psychology, 15, 1904, 72) is used to correct for individual raw correlations in primary studies. The corrected raw correlations are then used to obtain the corrected z-transformed correlations. What remains little studied, however, is how to best correct for within-study sampling error variances of corrected z-transformed correlations. We focused on three within-study sampling error variance estimators corrected for measurement error that wer...
Source: The British Journal of Mathematical and Statistical Psychology - December 29, 2023 Category: Statistics Authors: Qian Zhang Qi Wang Source Type: research

Correcting for measurement error under meta-analysis of z-transformed correlations
This study mainly concerns correction for measurement error using the meta-analysis of Fisher's z-transformed correlations. The disattenuation formula of Spearman (American Journal of Psychology, 15, 1904, 72) is used to correct for individual raw correlations in primary studies. The corrected raw correlations are then used to obtain the corrected z-transformed correlations. What remains little studied, however, is how to best correct for within-study sampling error variances of corrected z-transformed correlations. We focused on three within-study sampling error variance estimators corrected for measurement error that wer...
Source: The British Journal of Mathematical and Statistical Psychology - December 29, 2023 Category: Statistics Authors: Qian Zhang Qi Wang Source Type: research

Correcting for measurement error under meta-analysis of z-transformed correlations
This study mainly concerns correction for measurement error using the meta-analysis of Fisher's z-transformed correlations. The disattenuation formula of Spearman (American Journal of Psychology, 15, 1904, 72) is used to correct for individual raw correlations in primary studies. The corrected raw correlations are then used to obtain the corrected z-transformed correlations. What remains little studied, however, is how to best correct for within-study sampling error variances of corrected z-transformed correlations. We focused on three within-study sampling error variance estimators corrected for measurement error that wer...
Source: The British Journal of Mathematical and Statistical Psychology - December 29, 2023 Category: Statistics Authors: Qian Zhang Qi Wang Source Type: research

Correcting for measurement error under meta-analysis of z-transformed correlations
This study mainly concerns correction for measurement error using the meta-analysis of Fisher's z-transformed correlations. The disattenuation formula of Spearman (American Journal of Psychology, 15, 1904, 72) is used to correct for individual raw correlations in primary studies. The corrected raw correlations are then used to obtain the corrected z-transformed correlations. What remains little studied, however, is how to best correct for within-study sampling error variances of corrected z-transformed correlations. We focused on three within-study sampling error variance estimators corrected for measurement error that wer...
Source: The British Journal of Mathematical and Statistical Psychology - December 29, 2023 Category: Statistics Authors: Qian Zhang Qi Wang Source Type: research

Correcting for measurement error under meta-analysis of z-transformed correlations
This study mainly concerns correction for measurement error using the meta-analysis of Fisher's z-transformed correlations. The disattenuation formula of Spearman (American Journal of Psychology, 15, 1904, 72) is used to correct for individual raw correlations in primary studies. The corrected raw correlations are then used to obtain the corrected z-transformed correlations. What remains little studied, however, is how to best correct for within-study sampling error variances of corrected z-transformed correlations. We focused on three within-study sampling error variance estimators corrected for measurement error that wer...
Source: The British Journal of Mathematical and Statistical Psychology - December 29, 2023 Category: Statistics Authors: Qian Zhang Qi Wang Source Type: research

Correcting for measurement error under meta-analysis of z-transformed correlations
This study mainly concerns correction for measurement error using the meta-analysis of Fisher's z-transformed correlations. The disattenuation formula of Spearman (American Journal of Psychology, 15, 1904, 72) is used to correct for individual raw correlations in primary studies. The corrected raw correlations are then used to obtain the corrected z-transformed correlations. What remains little studied, however, is how to best correct for within-study sampling error variances of corrected z-transformed correlations. We focused on three within-study sampling error variance estimators corrected for measurement error that wer...
Source: The British Journal of Mathematical and Statistical Psychology - December 29, 2023 Category: Statistics Authors: Qian Zhang Qi Wang Source Type: research

Correcting for measurement error under meta-analysis of z-transformed correlations
This study mainly concerns correction for measurement error using the meta-analysis of Fisher's z-transformed correlations. The disattenuation formula of Spearman (American Journal of Psychology, 15, 1904, 72) is used to correct for individual raw correlations in primary studies. The corrected raw correlations are then used to obtain the corrected z-transformed correlations. What remains little studied, however, is how to best correct for within-study sampling error variances of corrected z-transformed correlations. We focused on three within-study sampling error variance estimators corrected for measurement error that wer...
Source: The British Journal of Mathematical and Statistical Psychology - December 29, 2023 Category: Statistics Authors: Qian Zhang Qi Wang Source Type: research