A broad class of zero‐or‐one inflated regression models for rates and proportions

Queiroz, Francisco F.; Lemonte, Artur J.

doi:10.1002/cjs.11576

Cited by 14 publications

(9 citation statements)

References 27 publications

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“…Moreover, proportions and rates are ubiquitous across the social and life sciences (e.g., Douma & Weedon, 2019;Kubinec, 2020;P. Liu et al, 2020;Queiroz & Lemonte, 2021;Santos & Bolfarine, 2015). These and similar data would often have properties well-captured by the zero-one inflated beta distribution or the ordered beta distribution.…”

Section: General Discussion and Conclusionmentioning

confidence: 99%

Cognitive and cultural models in psychological science: A tutorial on modeling free-list data as a dependent variable in Bayesian regression

Bendixen¹,

Purzycki²

2022

Preprint

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Assessing relationships between culture and cognition is central to psychological science. To this end, free-listing is a useful methodological instrument. To facilitate its wider use, we here present the free-list method along with some of its many applications and offer a tutorial on how to prepare and statistically model free-list data as a dependent variable in Bayesian regression using openly available data and code. We further demonstrate the real-world utility of the outlined workflow by modeling within-subject agreement between a free-list task and a corollary item response scale on religious beliefs with a cross-culturally diverse sample. Overall, we fail to find a statistical association between these two instruments, an original empirical finding that calls for further inquiry into identifying the cognitive processes that item response scales and free-list tasks tap into. Throughout, we argue that free-listing is an unambiguous measure of pools of cognitive and cultural information and that the free-list method therefore has broad potential across the social sciences aiming to measure and model individual-level and cross-cultural variation in mental representations.

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Section: General Discussion and Conclusionmentioning

confidence: 99%

Cognitive and cultural models in psychological science: A tutorial on modeling free-list data as a dependent variable in Bayesian regression

Bendixen¹,

Purzycki²

2022

Preprint

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“…Liu & Kong, 2015;P. Liu, Yuen, Wu, Tian, & Li, 2020;Menezes, Mazucheli, & Bourguignon, 2021;Ospina & Ferrari, 2012;Queiroz & Lemonte, 2021;Santos & Bolfarine, 2015;Swearingen, Castro, & Bursac, 2012). This poses a challenge to analysts who want to model free-list salience scores as a dependent variable and calls for general guidelines on how to go about modeling salience scores and similar zero-one inflated and bounded data.…”

Section: Introductionmentioning

confidence: 99%

Cognitive and cultural models in psychological science: A tutorial on modeling free-list data as a dependent variable in Bayesian regression.

Bendixen¹,

Purzycki²

2023

Psychological Methods

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Assessing relationships between culture and cognition is central to psychological science. To this end, freelisting is a useful methodological instrument. To facilitate its wider use, we here present the free-list method along with some of its many applications and offer a tutorial on how to prepare and statistically model freelist data as a dependent variable in Bayesian regression using openly available data and code. We further demonstrate the real-world utility of the outlined workflow by modeling within-subject agreement between a free-list task and a corollary item response scale on religious beliefs with a cross-culturally diverse sample. Overall, we fail to find a reliable statistical association between these two instruments, an original empirical finding that calls for further inquiry into identifying the cognitive processes that item response scales and free-list tasks tap into. Throughout, we argue that free-listing is an unambiguous measure of cognitive and cultural information and that the free-list method therefore has broad potential across the social sciences aiming to measure and model individual-level and cross-cultural variation in mental representations.

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“…Chai et al (2018) present in their work a detailed discussion comparing the regression models reparametrized on the marginal mean and the conditional mean (continuous component). For more details on regression structure involving mixed models see BOLFARINE, 2015BOLFARINE, , 2018CHAI et al, 2018;BOURGUIGNON, 2021;QUEIROZ;LEMONTE, 2021;SILVA et al, 2021).…”

Section: Introductionmentioning

confidence: 99%

The Zero, One and Zero-and-One-Inflated New Unit-Lindley Distributions

FERREIRA¹,

Mazucheli

2022

Braz. J. Biom.

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In this paper, we propose the zero, one and zero-and-one-inflated New unit-Lindley distributions as natural extensions of the New unit-Lindley distribution to model continuous responses measured at the following intervals [0, 1), (0, 1] and [0, 1]. They were constructed based on convex combinations between the New unit-Lindley distribution and the distributions degenerate at zero, one, and Bernoulli distribution. They also have a number of interesting properties, such as being members of the exponential family. Besides, they have closed forms for the cumulative distribution functions, quantiles, and moments. Inferential aspects and regression structures arediscussed in this work as well as a Monte Carlo simulation study to evaluate theperformance of the regressors. Finally, we bring an application to real data on the suicide rate in the year 2016.

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A broad class of zero‐or‐one inflated regression models for rates and proportions

Cited by 14 publications

References 27 publications

Cognitive and cultural models in psychological science: A tutorial on modeling free-list data as a dependent variable in Bayesian regression

Cognitive and cultural models in psychological science: A tutorial on modeling free-list data as a dependent variable in Bayesian regression

Cognitive and cultural models in psychological science: A tutorial on modeling free-list data as a dependent variable in Bayesian regression.

The Zero, One and Zero-and-One-Inflated New Unit-Lindley Distributions

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