{"title":"Effects of violating the assumptions of equal variance and independent and identically distributed random variables: A case using {B}ayesian statistical modeling","authors":"Tadamasa Sawada","doi":"10.20982/tqmp.19.3.p281","DOIUrl":"https://doi.org/10.20982/tqmp.19.3.p281","url":null,"abstract":"All statistical methods involve assumptions about the data and the output of the meth-ods can be biased when the assumptions are not supported by the data. One of the common assumptions is equal variance across the conditions. Another common assumption is that variables are independently sampled from identically distributed populations (i.i.d.). The present study describes an example of such a violation of these assumptions and its effect on the results of Bayesian statistical analyses. Yu et al. (2021) developed a Bayesian statistical model that can analyze the same type of data as the one-way repeated-measure ANOVA. Their model assumed equal variance and i.i.d. Unfortunately, these assumptions were not satisfied by their data. In the present study, their model was revised to allow variance to vary with the conditions, and their data was reanalyzed. The results of the analyses using these models were compared with the psychophysical results of Yu et al. (2021). This comparison showed that the violated assumptions biased the results of the analysis. This bias made the results of the analysis appear more supportive of Yu et al.’s (2021) conclusion, but the validity of the analysis’s results needs to be re-considered. Note that it is important that one carefully scrutinizes the data and understands the statistical method used to discuss the results of the analysis.","PeriodicalId":93055,"journal":{"name":"The quantitative methods for psychology","volume":"99 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135654957","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Unpacking Habit With Bayesian Mixed Models: Dynamic Approach to Health Behaviors With Interchangeable Elements, Illustrated Through Multiple Sun Protection Behaviors","authors":"Yuelin Li, Elizabeth Schofield, Jennifer L. Hay","doi":"10.20982/tqmp.19.3.p265","DOIUrl":"https://doi.org/10.20982/tqmp.19.3.p265","url":null,"abstract":"Analytics for behavioral habit typically model one behavior at a time, despite the fact that habit often involves multiple cooccurring behaviors, such as food choices and physical activities, where interrelated behaviors are often equally recommended. We propose a novel Mixed-Effects Dynamic hAbit model (MEDA) to simultaneously model multiple related, habitual behaviors. As an illustrative example, MEDA was applied to real-time assessments of sun protection (sunscreen, shade, hat, and protective clothing) reported twice daily by first-degree relatives of melanoma patients who are themselves at an elevated risk of skin cancer. MEDA aims to explicate habits in sun protection under varying environmental cues (e.g., sunny and hot weather). We found consistent between-group differences (e.g., men responding to weather cues more consistently than women) and interactions between cooccurring behaviors (e.g., being in shade discourages sunscreen wearing, more so in men than women). Moreover, MEDA transcends conventional methods to address longstanding challenges—how cue to action and volitional choices differ by groups or even by individual persons. Such nuances in interrelated habitual behaviors are relevant in numerous other applications, such as recommended dietary or physical activity behaviors. These methods best inform personalized behavioral interventions targeting individual preferences for precision behavioral intervention.","PeriodicalId":93055,"journal":{"name":"The quantitative methods for psychology","volume":"129 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135654713","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Philippe Pétrin-Pomerleau, Coralie Vincent, Paola Michelle Garcia Mairena, Ece Yilmaz, Annie Théberge Charbonneau, Tracy Husereau, Ghislaine Niyonkuru, Grace Jacob
{"title":"The Bayesian Approach is Intuitive Conditionally to Prior Exposition to These Examples","authors":"Philippe Pétrin-Pomerleau, Coralie Vincent, Paola Michelle Garcia Mairena, Ece Yilmaz, Annie Théberge Charbonneau, Tracy Husereau, Ghislaine Niyonkuru, Grace Jacob","doi":"10.20982/tqmp.19.3.p244","DOIUrl":"https://doi.org/10.20982/tqmp.19.3.p244","url":null,"abstract":"There is a range of statistical approaches available to researchers. Nevertheless, in the probabilistic context, the frequentist approach is dominant, from the scientific literature to the teaching of statistical methods in higher education institutions. However, research questions are diverse, and other probabilistic statistical approaches may be advantageous in specific contexts. The methods used by researchers are derived mainly from their training. Unfortunately, alternative approaches, such as the Bayesian approach, are rarely taught, which may, in part, be due to the complexity of teaching them. This article aims to address this problem by presenting a series of fictitious examples illustrating the concepts behind Bayesian reasoning. It is intended as a tool for novice researchers looking to gain a basic understanding of the Bayesian approach. The prior, likelihood and posterior concepts will be illustrated by scenarios that learners can identify with. It is expected that novice researchers who have internalized the concepts of the Bayesian method, partly through these intuitive examples, would be more inclined to learn about this alternative statistical approach and consider using it in their research field. This could, in turn, help diversify the statistical methods used throughout the scientific literature.","PeriodicalId":93055,"journal":{"name":"The quantitative methods for psychology","volume":"174 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139327436","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Pour la différence entre deux proportions jumelées, un nouveau test, plus valide et plus puissant [A new standard normal-based test for the difference between paired proportions to supersede obsolete McNemar-like and other indirect procedures]","authors":"Louis Laurencelle","doi":"10.20982/tqmp.19.3.p254","DOIUrl":"https://doi.org/10.20982/tqmp.19.3.p254","url":null,"abstract":"Contrarily to the 6-faced dice or the head/tail coin with their a priori fixed probability values, proportions used in applied research are generally based on heterogeneous and inconstant sources, the mathematical binomial model suiting them only as a first approximation. Moreover, the shape of their distributions is strongly tied to each proportion’s mean value, a fact that rules out a direct binomial calculation for comparing them and assessing their difference. When the compared proportions are paired, i.e. based on the same sources, the awkwardness of the binomial solu-tion simply jumps skyward, their proposed implementations being doubtful and their exegeses war-ped and indirect. Quinn McNemar’s 1947 chi-squared solution, simple and straightforward, has long won users’ adhesion, however it is based on the sole subset of option changing data pairs, putting aside all stable ones. We hereby describe a new, fully documented procedure for testing the difference between two paired proportions. It is anchored on the normal probability model and uses the Fisher-Zubin-Anscombe binomial-to-normal transformation. It is shown to be more precise and more powerful than the previous indirect and convoluted approaches, and it links empirical proportions to the full set of linear variables qualified for standard normal-based analyses, including ANOVA.","PeriodicalId":93055,"journal":{"name":"The quantitative methods for psychology","volume":"42 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135654959","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Dyadic pattern analysis using longitudinal Actor-Partner Interdependence Model with Markov chains for unique case analysis","authors":"Mégane Bollenrücher, Joëlle Darwiche, Jean-Philippe Antonietti","doi":"10.20982/tqmp.19.3.p230","DOIUrl":"https://doi.org/10.20982/tqmp.19.3.p230","url":null,"abstract":"Understanding the dynamics of interactions between two individuals requires special conceptual and statistical models. The Actor-Partner Interdependence Model (APIM) is the classical conceptual framework for standard dyadic designs, capturing the interdependence between dyad members by identifying the mechanisms of interaction through actor and partner effects. To analyze the temporal dynamics of dyadic interactions, the longitudinal APIM extends the classic model, often employing categorical variables to capture behavior. To analyze such data considering its categorical nature, specific statistical models are required. Markov chain is a powerful approach considering the longitudinal and categorical aspects of the data. This article describes how to adapt Markov chains in the categorical longitudinal dyadic case. It additionally offers a tutorial to model and identify the pattern of interaction using this method for unique case approach to maintain a simple and focused level of analysis. Codes in R language are provided.","PeriodicalId":93055,"journal":{"name":"The quantitative methods for psychology","volume":"21 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135654962","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Agathe Bellemare-Lepage, Marion Chatelois, P. Caron
{"title":"Exemplification méthodologique d'une analyse de classes latentes avec R","authors":"Agathe Bellemare-Lepage, Marion Chatelois, P. Caron","doi":"10.20982/tqmp.19.2.p217","DOIUrl":"https://doi.org/10.20982/tqmp.19.2.p217","url":null,"abstract":"L’analyse de classes latentes (ACL) permet de partager et de distinguer des sous-groupes non observables (latents) d’individus sur la base de leurs r ˊeponses ˋa un ensemble d’indicateurs observables (manifestes). Cette analyse permet de mieux comprendre la variabilit ˊe au sein d’une population. Or, il existe peu de documentation, surtout en fran¸cais, sur la proc ˊedure ˋa suivre pour r ˊealiser une ACL sur la plateforme R. Ce logiciel statistique est accessible gratuitement et comporte de nom-breux avantages en ce qui a trait ˋa la programmation d’analyses, ˋa la visualisation des donn ˊees ainsi qu’ ˋa la gestion des variables et de l’environnement de travail. L’objectif du pr ˊesent article est d’exem-plifier la r ˊealisation d’une ACL sur la plateforme R avec le package poLCA. Apr ˋes une introduction sur l’origine et les principes de l’ACL, un tutoriel sur la r ˊealisation d’une ACL avec R est pr ˊesent ˊe. Une situation hypoth ˊetique portant sur la perp ˊetration de violence dans les relations amoureuses ˋa l’adolescence est utilis ˊee. La syntaxe R permettant de r ˊealiser cette analyse est fournie et explicit ˊee en d ˊetails. Dans une vis ˊee de partage des connaissances, similaire ˋa la philosophie de R, cet article peut servir de guide pour tout ˊetudiant ou chercheur voulant d ˊevelopper sa compr ˊehension de l’ACL et ses comp ˊetences en statistiques sur cette plateforme.","PeriodicalId":93055,"journal":{"name":"The quantitative methods for psychology","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46110316","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Mathieu Caron-Diotte, M. Pelletier‐Dumas, É. Lacourse, A. Dorfman, D. Stolle, J. Lina, Roxane de la Sablonnière
{"title":"Handling Planned and Unplanned Missing Data in a Longitudinal Study","authors":"Mathieu Caron-Diotte, M. Pelletier‐Dumas, É. Lacourse, A. Dorfman, D. Stolle, J. Lina, Roxane de la Sablonnière","doi":"10.20982/tqmp.19.2.p123","DOIUrl":"https://doi.org/10.20982/tqmp.19.2.p123","url":null,"abstract":"While analyzing data, researchers are often faced with missing values. This is especially common in longitudinal studies in which participants might skip assessments. Unwanted missing data can introduce bias in the results and should thus be handled appropriately. However, researchers can sometimes want to include missing values in their data collection design to reduce its length and cost, a method called “planned missingness.” This paper review the recommended practices for handling both planned and unplanned missing data, with a focus on longitudinal studies. The current guidelines suggest to either use Full Information Maximum Likelihood or Multiple Imputation. Those techniques are illustrated with R code in the context of a longitudinal study with a representative Canadian sample on the psychological impacts of the COVID-19 pandemic","PeriodicalId":93055,"journal":{"name":"The quantitative methods for psychology","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48047551","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Comment utiliser le programme d'analyse sémantique Sémato","authors":"Marissa Trudel","doi":"10.20982/tqmp.19.1.p014","DOIUrl":"https://doi.org/10.20982/tqmp.19.1.p014","url":null,"abstract":"Le logiciel S ˊemato d ˊevelopp ˊe par Pierre Plante ˋa l’Universit ˊe du Qu ˊebec ˋa Montr ˊeal permet de compl ˊeter des analyses s ˊemantiques avec de tr ˋes larges donn ˊees textuelles. Cet article a comme but d’ˆetre un guide pour faciliter l’utilisation du logiciel par de futurs chercheurs. Des instructions ˊetape par ˊetape sont fournies pour (1) la pr ˊeparation du texte avant l’analyse; (2) l’ou-verture d’un nouveau projet; (3) l’identification, la modification et l’ ˊelimination des th ˋemes; et (4) certaines analyses. Ces explications sont support ˊees par des figures d’une analyse pr ˊec ˊedente qui illustrent quelles ˊetapes suivre sur le logiciel.","PeriodicalId":93055,"journal":{"name":"The quantitative methods for psychology","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48439281","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Adhin Bhaskar, K. Thennarasu, M. Philip, T. Jaisoorya
{"title":"Regression models for count data with excess zeros: A comparison using survey data","authors":"Adhin Bhaskar, K. Thennarasu, M. Philip, T. Jaisoorya","doi":"10.20982/tqmp.19.1.p001","DOIUrl":"https://doi.org/10.20982/tqmp.19.1.p001","url":null,"abstract":"Presence of excess zeros and the distributions are major concern in modeling count data. Zero inflated and hurdle models are regression techniques which can handle zero inflated count data. This study compares various count regression models for survey data observed with excess zeros. The data for the study is obtained from a survey conducted to assess the harms attributable to drinkers among children. Poisson, negative binomial and their zero inflated and hurdle versions were compared by fitting them to two count response variables, number of physical and number of psychological harms. The models were compared using fit indices, residual analysis and predicted values. The robustness of the models were also compared using simulated data sets. Results indicated that the Poisson regression was less robust to deviations from the distributional assumptions. The negative binomial regression and hurdle regression model were found to be suitable to model the number of physical and number of psychological harms respectively. The results showed that excess zeros in count data does not imply zero inflation. The zero inflated or hurdle models are suitable for zero inflated data. The selection between the zero inflated and hurdle models should be based on the assumed cause of zeros.","PeriodicalId":93055,"journal":{"name":"The quantitative methods for psychology","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44347793","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}