### Journals Information

Mathematics and Statistics Vol. 11(1), pp. 1 - 12
DOI: 10.13189/ms.2023.110101
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## Development of Nonparametric Structural Equation Modeling on Simulation Data Using Exponential Functions

Tamara Rezti Syafriana *, Solimun , Ni Wayan Surya Wardhani , Atiek Iriany , Adji Achmad Rinaldo Fernandes
Department of Statistics, Faculty of Mathematics and Natural Sciences, Brawijaya University, Malang, Indonesia

ABSTRACT

Objective: This study aims to determine the development of nonparametric SEM analysis on simulation data using the exponential function. Methodology: This study uses simulation data which is defined as an experimental approach to imitate the behavior of the system using a computer with the appropriate software. This study uses nonparametric structural equation modeling (SEM) analysis. The function used in this study is the exponential function. Results: The results showed that with simulation data all relationships have a significant effect on each other which have formative and reflective indicators. Testing the direct effect of Y2 on Y3 produces a structural coefficient value of 0.255 with a p-value <0.001 which means it is significant. The structural coefficient is positive, indicating that the relationship between the two is positive. This means that the higher Y2, the higher Y3. The results of the measurement model get a coefficient of determination of 0.91. It can be explained that 91% of the diversity of variables Y1, Y2, and Y3 can be explained by the X1 variable while 9% is explained by other variables not used in the model. Novelty: This study uses simulation data that is made very complex to analyze several related system structures at one time and can use a lot of data to get closer to real conditions to obtain comprehensive results, adjust to the criteria to be studied, and meet the following criteria: nonparametric SEM analysis criteria using the exponential function.

KEYWORDS
Structural Equation Model, Linearity, Parametric, Nonparametric

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Tamara Rezti Syafriana , Solimun , Ni Wayan Surya Wardhani , Atiek Iriany , Adji Achmad Rinaldo Fernandes , "Development of Nonparametric Structural Equation Modeling on Simulation Data Using Exponential Functions," Mathematics and Statistics, Vol. 11, No. 1, pp. 1 - 12, 2023. DOI: 10.13189/ms.2023.110101.

(b). APA Format:
Tamara Rezti Syafriana , Solimun , Ni Wayan Surya Wardhani , Atiek Iriany , Adji Achmad Rinaldo Fernandes (2023). Development of Nonparametric Structural Equation Modeling on Simulation Data Using Exponential Functions. Mathematics and Statistics, 11(1), 1 - 12. DOI: 10.13189/ms.2023.110101.