Nonparametrik Regression Model Estimation With the Fourier Series the Fourier Series Approach and Its Application to the Accumulative Covid-19 Data in Indonesia

Pasarella, Muhammad Danil; Sifriyani, Sifriyani; Amijaya, Fidia Deny Tisna

doi:10.30598/barekengvol16iss4pp1167-1174

Cited by 2 publications

(2 citation statements)

References 8 publications

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“…Theoretically, the GCV method has the asymptotic optimal property shown which is not shared by other methods. Another advantage of the GCV method is that it is invariant to transformation and in calculating the population variance does not need to be known [6]. Selection of optimal knot points using the GCV method selects the function that has the minimum GCV value.…”

Section: Optimal Knot Point Selectionmentioning

confidence: 99%

Estimation of a Bi-Response Truncated Spline Nonparametric Regression Model on Life Expectancy and Prevalence of Underweight Children in Indonesia

Anisar,

Sifriyani,

Dani

2023

BAREKENG: J. Math. & App.

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Researchers use the nonparametric regression method because it provides excellent flexibility in the modeling process. Nonparametric regression procedures can be used if the relationship pattern between the predictor and response variables is unknown. The truncated spline method is one of the most frequently used nonparametric regression methods. A truncated spline is a polynomial slice with continuous segmented properties, and the resulting curve is relatively smooth. The advantage of truncated splines is that they can be used on data that experience behavior changes at specific intervals. The nonparametric spline truncated bi-response regression approach is used when one or more predictor variables affect the two response variables with the assumption that there is a correlation between the response variables. This study aimed to obtain the best spline truncated bi-response nonparametric regression model on life expectancy data and the prevalence of underweight children in Indonesia in 2021. The data used comes from the Central Bureau of Statistics and the Indonesian Ministry of Health. The optimal knot point selection method uses the Generalized Cross Validation (GCV) method. The results showed that the best model formed was obtained using three-knot points based on a minimum GCV value of 22.77 and a coefficient of determination of 99.58%.

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Section: Optimal Knot Point Selectionmentioning

confidence: 99%

Estimation of a Bi-Response Truncated Spline Nonparametric Regression Model on Life Expectancy and Prevalence of Underweight Children in Indonesia

Anisar,

Sifriyani,

Dani

2023

BAREKENG: J. Math. & App.

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“…GCV is one of the methods used in selecting optimal knot points. The resulting optimal knot point comes from the smallest GCV value [16]. The GCV function can be seen in the following equation.…”

Section: Generalized Cross Validation (Gcv)mentioning

confidence: 99%

Tuberculosis Case Model Using GCV and Ubr Knot Selection Methods in Truncated Spline Nonparametric Regression

Anggraeni,

Sifriyani,

A'yun

2023

BAREKENG: J. Math. & App.

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The nonparametric regression approach is used when the shape of the regression curve is not known. The advantage of nonparametric regression is that it has a high degree of flexibility. The truncated spline is a method in the nonparametric regression approach, which can overcome changing data patterns at certain sub-intervals with the help of knot points. The purpose of this research is to obtain the best truncated spline nonparametric regression model estimates based on the GCV and UBR knot point selection methodsThe data used in this study came from the publications of the Indonesian Ministry of Health and BPS Indonesia. The response variable used is the percentage of successful treatment of tuberculosis patients in Indonesia with predictor variables namely the percentage of people who smoke over the age of 15 years, the percentage of households that have access to proper sanitation, the percentage of poor people, the percentage of food processing establishments that meet the standard requirements , national health insurance membership coverage and percentage of accredited hospitals. The results showed that the best model came from the GCV method using three knots. This model produces an MSE value of 3.65 with value of 97.04. The value indicates that the predictor variable used in this study affects the response variable by 97.04% while the other 2.96% is influenced by other variables that are not included in this study.

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Nonparametrik Regression Model Estimation With the Fourier Series the Fourier Series Approach and Its Application to the Accumulative Covid-19 Data in Indonesia

Cited by 2 publications

References 8 publications

Estimation of a Bi-Response Truncated Spline Nonparametric Regression Model on Life Expectancy and Prevalence of Underweight Children in Indonesia

Estimation of a Bi-Response Truncated Spline Nonparametric Regression Model on Life Expectancy and Prevalence of Underweight Children in Indonesia

Tuberculosis Case Model Using GCV and Ubr Knot Selection Methods in Truncated Spline Nonparametric Regression

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