DETERMINING OBJECT-ORIENTED DESIGN COMPLEXITY DUE TO THE IDENTIFICATION OF CLASSES OF OPEN-SOURCE WEB APPLICATIONS CREATED USING PHP FRAMEWORKS

Abstract

Context. The problem of determining the object-oriented design (OOD) complexity of the open-source software, including Web apps created using the PHP frameworks, is important because nowadays open-source software is growing in popularity and using the PHP frameworks making app development faster. The object of the study is the process of determining the OOD complexity of the open-source Web apps created using the PHP frameworks. The subject of the study is the mathematical models to determine the OOD complexity due to the identification of classes of the open-source Web apps created using the PHP frameworks. Objective. The goal of the work is the build a mathematical model for determining the OOD complexity due to the identification of classes of the open-source Web apps created using the PHP frameworks based on the three-variate Box-Cox normalizing transformation to increase confidence in determining the OOD complexity of these apps. Method. The mathematical model for determining the OOD complexity due to the identification of classes of the open-source Web apps created using the PHP frameworks is constructed in the form of the prediction ellipsoid equation for normalized metrics WMC, DIT, and NOC at the app level. We apply the three-variate Box-Cox transformation for normalizing the above metrics. The maximum likelihood method is used to compute the parameter estimates of the three-variate Box-Cox transformation. Results. A comparison of the constructed model based on the F distribution quantile with the prediction ellipsoid equation based on the Chi-Square distribution quantile has been performed. Conclusions. The mathematical model in the form of the prediction ellipsoid equation for the normalized WMC, DIT, and NOC metrics at the app level to determine the OOD complexity due to the identification of classes of the open-source Web apps created using the PHP frameworks is firstly built based on the three-variate Box-Cox transformation. This model takes into account the correlation between the WMC, DIT, and NOC metrics at the app level. The prospects for further research may include the use of other data sets to confirm or change the prediction ellipsoid equation for determining the OOD complexity due to the identification of classes of the open-source Web apps created using the PHP frameworks.