A comparison of correlation and regression approaches for multinomial processing tree models

Jobst, Lisa J.; Heck, Daniel W.; Moshagen, Morten

doi:10.1016/j.jmp.2020.102400

Cited by 12 publications

(12 citation statements)

References 43 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The task of correlation-regression analysis is the construction and analysis of an economicmathematical model of the regression equation (correlation equation), which reflects the dependence of the resulting characteristic on several factor characteristics and gives an estimate of the degree of dependece density [14].…”

Section: Methodsmentioning

confidence: 99%

The Influence of the Use of Rotary Photo Tables for the Presentation of Goods on the Volume of their Sale in Online Stores

Petrov¹

2022

JEMT

View full text Add to dashboard Cite

Aims: The purpose of this article was to confirm the dependence between the volume of sales of goods by online stores and the use of rotary photo tables for the presentation of goods, using mathematical methods and models. The use of correlation-regression analysis to assess economic processes and trends, as well as the development of a model of dependence between the volume of sales of goods by an online store and the use of rotary photo tables for the presentation of goods. Study Design: In order to determine the relationship between the volume of sales of goods in the online store and the use of rotary photo tables for the presentation of goods, an economic and mathematical modeling was carried out in the work based on the database of online stores «Yin.gold», «Nihaoejwelry Wholesale Store», «W.P. Jewellery». Methodology: The following methods were used in this research: analysis, synthesis, induction, deduction, comparison, grouping, methods of mathematical modeling and mathematical statistics. The use of these methods is aimed at achieving the tasks set in the research. The information base of the research consists of the works of recognized specialists, as well as data from the online stores «Yin.gold», «Nihaoejwelry Wholesale Store», «W.P. Jewellery». Results: On the basis of mathematical methods (correlation-regression analysis), it was confirmed an actual dependence between the volume of sales of goods by online stores and the number of goods that are presented with the help of photos and videos made with the use of rotary tables for photography. The economic effect of using rotary photo tables for object photography for the investigated online stores is quantified. Conclusion: The conducted research confirmed the high importance of using rotary photo tables for the presentation of goods in the online store. The economic interpretation of the parameters of each of the built models shows that the increase in the number of products presented on the website of the online store with the use of rotary tables for photography leads to an increase in the volume of sales.

show abstract

Section: Methodsmentioning

confidence: 99%

The Influence of the Use of Rotary Photo Tables for the Presentation of Goods on the Volume of their Sale in Online Stores

Petrov¹

2022

JEMT

View full text Add to dashboard Cite

show abstract

“…For instance, with respect to the pair-clustering model, it seems plausible that there is a correlation between the model parameters c, r, and u reflecting a common underlying memory capacity which varies across individuals. However, large numbers of participants and responses per participant are usually required to estimate correlations between MPT model parameters with high precision (Jobst et al, 2020).…”

Section: Partial Pooling: Latent-trait Mptmentioning

confidence: 99%

“…where Φ does again refer to a probit link function, x i denotes the row vector of covariate values of person i, β is a column vector of regression coefficients, and δ si are normally distributed person-random effects for the parameter θ si . A Monte Carlo simulation study showed that this approach works well in practice if a sufficient number of responses and individuals are available (Jobst et al, 2020).…”

Section: External Covariatesmentioning

confidence: 99%

How to Develop, Test, and Extend Multinomial Processing Tree Models: A Tutorial

Schmidt¹,

Erdfelder²,

Heck³

2022

Preprint

View full text Add to dashboard Cite

Many psychological theories assume that observable responses are determined by multiple latent processes. Multinomial processing tree (MPT) models are a class of cognitive models for discrete responses that allow researchers to disentangle and measure such processes. Before applying MPT models to specific psychological theories, it is necessary to tailor a model to specific experimental designs. In this tutorial, we explain how to develop, fit, and test MPT models using the classical pair-clustering model as a running example. The first part covers the required data structures, model equations, identifiability, model validation, maximum-likelihood estimation, hypothesis tests, and power analyses using the software multiTree. The second part introduces hierarchical MPT modeling which allows researchers to account for individual differences and to estimate the correlations of latent processes among each other and with additional covariates using the TreeBUGS package in R. All examples including data and annotated analysis scripts are provided at the Open Science Framework (https://osf.io24pbm/).

show abstract

“…Based on the data in Table 1, using formula 1, we write down the system of equations, as a result of solving which, we get the regression coefficients: b = 16,6190, a = -12389,58. By substituting them into the equation of linear dependence, we get a regression equation which looks as following: (4) where y is the volume of sales of goods;…”

Section: Source: Created By the Authormentioning

confidence: 99%

“…The purpose of this research was to determine the existence of a relationship between the volume of sales of goods by an online store and the use of rotary photo tables for the presentation of goods, using mathematical methods and models, namely correlation-regression analysis for the assessment of economic processes and trends, as well as the development of a dependence model between the volume of sales of goods by the online store and the use of rotary photo tables for the presentation of goods [4,5].…”

Section: Introductionmentioning

confidence: 99%

Correlation-regression Analysis of the Relationship between the Volume of Sales of Goods and the use of Rotary Photo Tables for Their Presentation in Online Stores

Petrov¹

2022

JEMT

View full text Add to dashboard Cite

Aims: The aim of this article was to determine the existence of a relationship between the volume of sales of goods by an online store and the use of rotary photo tables for the presentation of goods, using mathematical methods and models. Study Design: In order to determine the relationship between the volume of sales of goods at the online store and the use of rotary photo tables for the presentation of goods, economic and mathematical modeling was carried out on the base of the data of online store "Ukrasa". Place and Duration of Research: Russian Federation. Methodology: To achieve the goals, the research used such methods as analysis and synthesis, induction and deduction, comparison and grouping, methods of mathematical modeling (correlation-regression analysis). Results: On the basis of mathematical methods, it was established that there is a relationship between the volume of sales of goods by the online store and the number of goods that are presented with the help of photos and videos made with the use of turntables for photography. As a result of the research, it was established that 78,85% of the total change in the volume of sales of goods is explained by the change in the presentation of goods on the site with the help of rotary photo tables. Conclusion: The conducted research showed the importance of using rotary photo tables for presenting goods in online store. The economic interpretation of the parameters of the model shows that the increase in the number of goods presented with the help of photos and videos made with the use of rotary tables for photography will increase by one hundred units, then the volume of sales of goods will increase by 1661,9 thousand hryvnias.

show abstract

A comparison of correlation and regression approaches for multinomial processing tree models

Cited by 12 publications

References 43 publications

The Influence of the Use of Rotary Photo Tables for the Presentation of Goods on the Volume of their Sale in Online Stores

The Influence of the Use of Rotary Photo Tables for the Presentation of Goods on the Volume of their Sale in Online Stores

How to Develop, Test, and Extend Multinomial Processing Tree Models: A Tutorial

Correlation-regression Analysis of the Relationship between the Volume of Sales of Goods and the use of Rotary Photo Tables for Their Presentation in Online Stores

Contact Info

Product

Resources

About