Biresponse nonparametric regression model in principal component analysis with truncated spline estimator

Islamiyati, Anna; Kalondeng, Anisa; Sunusi, Nurtiti; Zakir, M.; Amir, Amir Kamal

doi:10.1016/j.jksus.2022.101892

Cited by 5 publications

(5 citation statements)

References 12 publications

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“…Untuk estimator spline, perkembanganya juga sudah sangat pesat karena memiliki fleksibilitas tinggi yaitu data yang akan mencari pola data yang sesuai [10]. Jenis estimator spline yang telah dikembangkan peneliti, diantaranya spline truncated [11], penalized spline [12], spline smoothing [13] dan spline poisson [14].…”

Section: Pendahuluanunclassified

Model Regresi Kuantil Spline Orde Dua Dalam Menganalisis Perubahan Trombosit Pasien Demam Berdarah

et al. 2023

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Quantile regression can be used to analyze data containing outliers including DHF data. The spline is able to identify several patterns of change in the regression model, so this study uses a second-order quantile spline regression model in analyzing DHF data that occurred in Makassar City. In this article, the authors analyze the pattern of changes that occur in platelets based on changes in the hematocrit content of DHF patients. The selected quantiles are quartiles 0.25; 0.50; and 0.75 with 3-knot points. Based on the results of the analysis, the minimum GCV value obtained at the use of knot points is 30.30; 44.80; 47.10 for the 0.25 quartile; 0.50; and 0.75. This shows that in each quartile, there are four patterns of quadratic changes that occur in the platelet count of DHF patients. The parabolic curve formed in each pattern segmentation shows that there are times when platelets are increasing and there are times when platelets are decreasing. However, the average platelets decreased drastically, especially when the hematocrit reached 47.10%.

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Section: Pendahuluanunclassified

Model Regresi Kuantil Spline Orde Dua Dalam Menganalisis Perubahan Trombosit Pasien Demam Berdarah

et al. 2023

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“…The W weighting matrix can be written in Equation ( 12): (12) then to obtain the estimator, the completion of parameter optimization is carried out with WLS, for the sum of squared errors [3] is given by Equation (13):…”

Section: Estimation Of Bi-response Spline Truncated Nonparametric Reg...mentioning

confidence: 99%

“…Health is an essential indicator in improving the quality of life, which supports human development [7] [12]. In Indonesia, health problems are still a severe problem and a significant concern for the government.…”

Section: Introductionmentioning

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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“…The spline estimator has become one of the most developed estimators because it has high flexibility in modeling data. Some spline estimator developments include truncated spline [7], smoothing spline [8], penalized spline [9], robust spline [10], b spline [11], quantile spline [12], multiresponse spline [13], and others. This article discusses the estimation method of regression parameters in a model that contains two correlated responses.…”

Section: Introductionmentioning

confidence: 99%

The Use of Penalized Weighted Least Square to Overcome Correlations Between Two Responses

Islamiyati

Anisa

Z̲ākir

et al. 2022

BAREKENG: J. Math. & App.

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The non-parametric regression model can consider two correlated responses. However, for these conditions, we cannot use the usual estimation process because there are violations of assumptions. To solve this problem, we use a penalized weighted least square involving knots, smoothing parameters, and weighting in the estimation criteria simultaneously. The estimation process involves a weighted criteria matrix in the estimation criteria. Estimation results show that the estimated two-response non-parametric regression function with penalized spline is a linear estimation class in y response observation and depends on the knot point and smoothing parameter. Furthermore, the use of the model on toddler growth data shows some changes in the pattern of weight and height gain. The pattern segmentation that experienced a gradual increase was age 7-43 months for weight and age 6-54 months for height

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Biresponse nonparametric regression model in principal component analysis with truncated spline estimator

Cited by 5 publications

References 12 publications

Model Regresi Kuantil Spline Orde Dua Dalam Menganalisis Perubahan Trombosit Pasien Demam Berdarah

Model Regresi Kuantil Spline Orde Dua Dalam Menganalisis Perubahan Trombosit Pasien Demam Berdarah

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

The Use of Penalized Weighted Least Square to Overcome Correlations Between Two Responses

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