{"title":"Point and interval estimates for a standardized mean difference in paired-samples designs using a pooled standard deviation.","authors":"D. A. Fitts","doi":"10.20982/tqmp.18.2.p207","DOIUrl":"https://doi.org/10.20982/tqmp.18.2.p207","url":null,"abstract":"A standardized mean difference using a pooled standard deviation with paired samples ( d p ; paired-pooled design) can be compared directly to a d p from an independent samples design, but the unbiased point estimate g p and confidence interval (CI) for d p cannot unless the population correlation ρ between the scores is known in the paired-pooled design, which it rarely is. The ρ is required to calculate the degrees of freedom ν for the design, and ν is necessary to calculate the g p and CI. If a variable sample correlation is substituted for ρ the ν is only approximate and the sampling distribution for d p is unknown. This article uses simulations to compare the characteristics of the unknown distribution to the noncentral t distribution as an approximation and provides empirically-derived regression equations to compensate for the bias in the approximated CI computed using the noncentral t distribution. The result is an approximate but much more accurate coverage of the CI than previously available. Tables are supplied to assist sample size planning and computer programs are provided for computations. These results are experimental and tentative until the actual distribution can be discovered. The regularity of the deviation in coverage that allows the compensation to work encourages that search.","PeriodicalId":93055,"journal":{"name":"The quantitative methods for psychology","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43229003","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":"Power Analysis for Regression Coefficients: The Role of Multiple Predictors and Power to Detect all Coefficients Simultaneously","authors":"C. Aberson, Josue E. Rodriguez, Danielle Siegel","doi":"10.20982/tqmp.18.2.p142","DOIUrl":"https://doi.org/10.20982/tqmp.18.2.p142","url":null,"abstract":"Many tools exist for power analyses focused on R 2 Model (the variance explained by all the predictors together) but tools for estimating power for coefficients often require complicated inputs that are neither intuitive nor simple to estimate. Further compounding this issue is the recognition that power to detect effects for all predictors in a model tends to be substantially lower than power to detect individual effects. In short, most available power analysis approaches ignore the probability of detecting all effects and focus on probability of detecting individual effects. The consequences of this are designs that are underpowered to detect effects. The present work presents tools for addressing these issues via simulation approaches provided by the pwr2ppl package (Aberson, 2019) and an associated Shiny app.","PeriodicalId":93055,"journal":{"name":"The quantitative methods for psychology","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45794390","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":"Illustrations of serial mediation using PROCESS, Mplus and R","authors":"Laura Lemardelet, Pier-Olivier Caron","doi":"10.20982/tqmp.18.1.p066","DOIUrl":"https://doi.org/10.20982/tqmp.18.1.p066","url":null,"abstract":"There has been an increased interest among researchers in the behavorial and social sciences for mediation models. This interest is well deserved: mediation can explain via intermediate variables the relationship between an independent variable and a dependent variable. Many software programs are now available to perform such analysis. However, there is a lack of articles to guide users to perform more complex models. The purpose of the current manuscript is to provide a tutorial on serial mediation analysis using software requiring less programming skills like SPSS (PROCESS), and Mplus to more advanced software such as R. In this manuscript, we first introduce the simple mediation analysis. Second, we explain the different parameters and effects of a serial mediation analysis with two mediators. Third, we show how to generate data using R. Fourth, we explain the input and output of PROCESS, Mplus, and R. Finally, a practical example is performed with Mplus.","PeriodicalId":93055,"journal":{"name":"The quantitative methods for psychology","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44419286","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":"Histogram lies about distribution shape and Pearson's coefficient of variation lies about relative variability","authors":"P. Silveira, J. O. Siqueira","doi":"10.20982/tqmp.18.1.p091","DOIUrl":"https://doi.org/10.20982/tqmp.18.1.p091","url":null,"abstract":"aDepartment of Pathology (LIM01-HCFMUSP), Medical School, University of Sao Paulo, SP, Brazil bDepartment of Legal Medicine, Medical Ethics, Work and Social Medicine, Medical School, University of Sao Paulo, SP, Brazil Abstract Histograms and Pearson’s coefficient of variation are among the most popular summary statistics. Researchers use histograms to judge the shape of quantitative data distribution by visual inspection. The coefficient of variation is taken as an estimator of relative variability of these data. We explore properties of histograms and coefficient of variation by examples in R, thus offering better alternatives: density plots and Eisenhauer’s relative dispersion coefficient. Hypothetical examples developed in R are applied to create histograms and density plots, and to compute coefficient of variation and relative dispersion coefficient. These hypothetical examples clearly show that these two traditional approaches are flawed. Histograms do not necessarily reflect the distribution of probabilities and the Pearson’s coefficient of variation is not invariant with linear transformations and is not a measure of relative variability, for it is a ratio between a measure of absolute variability (standard deviation) and a measure of central position (mean). Potential alternatives are explained and applied for contrast. With the use of modern computers and R language it is easy to apply density plots, which are able to approximate the theoretical probability distribution. In addition, Eisenhauer’s relative dispersion coefficient is suggested as a suitable estimator of relative variability, including sample size correction for lower and upper bounds.","PeriodicalId":93055,"journal":{"name":"The quantitative methods for psychology","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45559000","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":"A bivariate longitudinal cluster model with application to the {C}ognitive {R}eflection {T}est","authors":"M. Berkowitz, R. Altman","doi":"10.20982/tqmp.18.1.p021","DOIUrl":"https://doi.org/10.20982/tqmp.18.1.p021","url":null,"abstract":"The Cognitive Reflection Test (CRT) is a test designed to assess subjects’ ability to override intuitively appealing but incorrect responses. Psychologists are concerned with whether subjects improve their scores on the test with repeated exposure, in which case, the test’s predictive validity may be threatened. In this paper, we take a novel approach to modelling data recorded on subjects who took the CRT multiple times. We develop bivariate, longitudinal models to describe the responses, CRT score and time taken to complete the CRT. These responses serve as a proxy for the underlying latent variables “numeracy” and “reflectiveness”, respectively—two components of “rationality”. Our models allow for subpopulations of individuals whose responses exhibit similar patterns. We assess the reasonableness of our models via new visualizations of the data. We estimate their parameters by modifying the method of adaptive Gaussian quadrature. We then use our fitted models to address a range of subject-specific questions in a formal way. We find evidence of at least three subpopulations, which we interpret as representing individuals with differing combinations of numeracy and reflectiveness, and determine that, in some subpopulations, test exposure has a greater estimated effect on test scores than previously reported.","PeriodicalId":93055,"journal":{"name":"The quantitative methods for psychology","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41785201","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":"Bayesian Bootstrapped Correlation Coefficients","authors":"Josue E. Rodriguez, Donald R Williams","doi":"10.20982/tqmp.18.1.p039","DOIUrl":"https://doi.org/10.20982/tqmp.18.1.p039","url":null,"abstract":"We propose the Bayesian bootstrap (BB) as a generic, simple, and accessible method for sampling from the posterior distribution of various correlation coefficients that are commonly used in the social-behavioral sciences. In a series of examples, we demonstrate how the BB can be used to estimate Pearson’s, Spearman’s, Gaussian rank, Kendall’s τ , and polychoric correlations. We also describe an approach based on a region of practical equivalence to evaluate differences and null associations among the estimated correlations. In addition, we have implemented the methodology in the R package BBcor (https://cran.r-project.org/web/packages/BBcor/index.html). Example code and key advantages of the proposed methods are illustrated in an applied example.","PeriodicalId":93055,"journal":{"name":"The quantitative methods for psychology","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46279284","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":"Exploring the role of Honesty-Humility in replicating \"The relationships between behavioral addictions and the five-factor model of personality\"","authors":"Anjali Singh, G. Durand","doi":"10.20982/tqmp.18.1.r001","DOIUrl":"https://doi.org/10.20982/tqmp.18.1.r001","url":null,"abstract":"This study is a replication of Andreassen and colleagues (2013) [The relationships between behavioral addictions and the five-factor model of personality. Journal of Behavioral Addictions, 2(2), 90–99]. We partially replicated the findings of the original study. Our results support the role of personality, particularly conscientiousness, in predicting behavioral addictions, such as video game, Internet, andmobile phone addiction. However, we failed to replicate the same pattern of personality traits for each behavioral addiction.","PeriodicalId":93055,"journal":{"name":"The quantitative methods for psychology","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43772753","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":"Review of the partially overlapping samples framework: Paired observations and independent observations in two samples","authors":"Ben Derrick, Paul White","doi":"10.20982/tqmp.18.1.p055","DOIUrl":"https://doi.org/10.20982/tqmp.18.1.p055","url":null,"abstract":"A frequently asked question in quantitative research is how to compare two samples that include some combination of paired observations and unpaired observations. In our publications and R package, we refer to the scenario as ‘partially overlapping samples’. Most frequently the desired comparison is that of central location. Depending on the context, the research question could be a comparison of means, distributions, proportions or variances. In the 20th century, traditional approaches that discard either the paired observations or the independent observations were customary. In the 21st century approaches that make use of all available data are becoming more prominent. Traditional and modern approaches for the analyses for each of these research questions are reviewed. We conclude that tests that report a directly measurable difference between the two groups provide the best solutions.","PeriodicalId":93055,"journal":{"name":"The quantitative methods for psychology","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49101025","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":"Les distributions multinomiales, leur mesure par les tests khi2 et G, leur approximation par la loi khi-carré et l'analyse des tableaux de fréquences par le test $G$","authors":"L. Laurencelle","doi":"10.20982/tqmp.18.1.p001","DOIUrl":"https://doi.org/10.20982/tqmp.18.1.p001","url":null,"abstract":"","PeriodicalId":93055,"journal":{"name":"The quantitative methods for psychology","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48011972","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":"Corrigendum à La loi de Pascal restreinte et ses cas particuliers","authors":"L. Laurencelle","doi":"10.20982/tqmp.18.1.p128","DOIUrl":"https://doi.org/10.20982/tqmp.18.1.p128","url":null,"abstract":"Abstract Deux erreurs ont été rapportées dans Laurencelle (2012), La loi de Pascal restreinte et ses cas particuliers, publié dans ces pages (vol. 8, p. 35-51). Les formules correctes sont présentes dans Laurencelle (1998), La variable n(k, 2) de la loi de Pascal restreinte. Lettres Statistiques, vol. 8, 25-47.","PeriodicalId":93055,"journal":{"name":"The quantitative methods for psychology","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43061701","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}