基于 Kotlin 的开源应用程序早期定位估算的非线性回归模型

S. Prykhodko, N. Prykhodko, A. V. Koltsov
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摘要

背景。软件项目中的早期代码行数(LOC)估算具有重要意义,因为它直接影响到开发工作量的预测,涉及各种不同的编程语言,尤其是基于 Kotlin 的开源应用程序。本研究的对象是基于 Kotlin 的开源应用程序的早期 LOC 估算过程。研究对象是基于 Kotlin 的开源应用程序早期 LOC 估算的非线性回归模型。这项工作的目标是基于 Box-Cox 四变量归一化变换,为基于 Kotlin 的开源应用程序的早期 LOC 估算建立包含三个预测因子的非线性回归模型,以提高这些应用程序早期 LOC 估算的可信度。针对基于 Kotlin 的开源应用程序的早期 LOC 估算,使用 Box-Cox 四变量归一化变换和专门技术构建了非线性回归的模型、置信度和预测区间。这些技术依赖于结合多变量归一化变换的多重非线性回归分析,考虑了非高斯数据情况下变量之间的依赖关系。因此,与利用单变量归一化变换的模型相比,这种方法往往能降低平均相对误差幅度(MMRE),缩小置信区间和预测区间。对所构建的模型与采用十进制对数和 Box-Cox 单变量变换的非线性回归模型进行了分析比较。利用 Box-Cox 四变量变换,构建了具有三个预测因子的非线性回归模型,用于基于 Kotlin 的开源应用程序的早期 LOC 估算。与其他非线性回归模型相比,该模型的多重决定系数更大,MMRE 值更小,置信区间和预测区间更窄。进一步研究的前景可能包括应用其他数据集来构建非线性回归模型,以便对基于 Kotlin 的开源应用程序的早期 LOC 进行估计,并对预测因子做出其他限制。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A NONLINEAR REGRESSION MODEL FOR EARLY LOC ESTIMATION OF OPEN-SOURCE KOTLIN-BASED APPLICATIONS
Context. The early lines of code (LOC) estimation in software projects holds significant importance, as it directly influences the prediction of development effort, covering a spectrum of different programming languages, and open-source Kotlin-based applications in particular. The object of the study is the process of early LOC estimation of open-source Kotlin-based apps. The subject of the study is the nonlinear regression models for early LOC estimation of open-source Kotlin-based apps. Objective. The goal of the work is to build the nonlinear regression model with three predictors for early LOC estimation of open-source Kotlin-based apps based on the Box-Cox four-variate normalizing transformation to increase the confidence in early LOC estimation of these apps. Method. For early LOC estimation in open-source Kotlin-based apps, the model, confidence, and prediction intervals of nonlinear regression were constructed using the Box-Cox four-variate normalizing transformation and specialized techniques. These techniques, relying on multiple nonlinear regression analyses incorporating multivariate normalizing transformations, account for the dependencies between variables in non-Gaussian data scenarios. As a result, this method tends to reduce the mean magnitude of relative error (MMRE) and narrow confidence and prediction intervals compared to models utilizing univariate normalizing transformations. Results. An analysis has been carried out to compare the constructed model with nonlinear regression models employing decimal logarithm and Box-Cox univariate transformation. Conclusions. The nonlinear regression model with three predictors for early LOC estimation of open-source Kotlin-based apps is constructed using the Box-Cox four-variate transformation. Compared to the other nonlinear regression models, this model demonstrates a larger multiple coefficient of determination, a smaller value of the MMRE, and narrower confidence and prediction intervals. The prospects for further research may include the application of other data sets to construct the nonlinear regression model for early LOC estimation of open-source Kotlin-based apps for other restrictions on predictors.
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