Regresi Spline Polynomial Truncated Biprediktor untuk Identifikasi Perubahan Jumlah Trombosit Pasien Demam Berdarah Dengue

Anna Islamiyati

Abstract


Abstract:

This paper is a longitudinal study using a nonparametric regression model to identify changes in platelet count from dengue fever. Changes in platelet counts were analyzed based on treatment time and hematocrit count factors. The estimator method proposed is spline polynomial truncated bipredictor. Based on the results of the simultaneous model estimation, we obtained GCV = 714.72 and R2 = 95.9%, it means the model is feasible to explain and identify changes in platelet count based on the time of treatment and the number of hematocrit from DBD patients. Based on the data, there are four patterns of platelet change based on time of treatment and three patterns of platelet change based on hematocrit that are different from each other.

Abstrak:

Paper ini merupakan studi longitudinal dengan menggunakan model regresi nonparametrik untuk mengidentifikasi perubahan jumlah trombosit demam berdarah. Perubahan jumlah trombosit dianalisis berdasarkan faktor waktu perawatan dan jumlah hematokrit. Metode estimator yang diusulkan adalah spline polynomial truncated bi prediktor. Berdasarkan hasil taksiran model simultan diperoleh GCV = 714,72 dan R2 = 95,9%, artinya model layak untuk menjelaskan dan mengidentifikasi perubahan jumlah trombosit berdasarkan waktu perawatan dan jumlah hematokrit pasien DBD. Berdasarkan data, terdapat empat pola perubahan trombosit berdasarkan waktu perawatan dan tiga pola perubahan trombosit berdasarkan hematokrit yang berbeda satu sama lain.


Keywords


DBD; Hematocrit; Longitudinal; Spline Bipredictor; Platelet.

Full Text:

PDF

References


Anna Islamiyati. “Estimator Penalized Spline Pada Model Regresi Nonparametrik Multirespon Multiprediktor Untuk Data Longitudinal.” Postdoctoral, Universitas Airlangga, 2019. http://lib.unair.ac.id.

Aydın, Dursun, Memmedağa Memmedli, and Rabia Ece Omay. “Smoothing Parameter Selection for Nonparametric Regression Using Smoothing Spline | Aydın | European Journal of Pure and Applied Mathematics.” Accessed December 7, 2019. https://www.ejpam.com/index.php/ejpam/article/view/1362.

Budiantara, I. Nyoman, Madu Ratna, Ismaini Zain, and Wahyu Wibowo. “Modeling the Percentage of Poor People in Indonesia Using Spline Nonparametric Regression Approach.” International Journal of Basic & Applied Sciences 12 (2012): 119–124.

Budiantara, I. Nyoman, Vita Ratnasari, Madu Ratna, and Ismaini Zain. “The Combination of Spline and Kernel Estimator for Nonparametric Regression and Its Properties.” Applied Mathematical Sciences 9, no. 122 (2015): 6083–6094.

Chamidah, N., I. N. Budiantara, S. Sunaryo, and I. Zain. “Designing of Child Growth Chart Based on Multi-Response Local Polynomial Modeling.” Journal of Mathematics and Statistics 8, no. 3 (2012): 342–347.

Chamidah, N., and M. Rifada. “Local Linear Estimator in Bi-Response Semiparametric Regression Model for Estimating Median Growth Charts of Children.” Far East Journal of Mathematical Sciences 99, no. 8 (2016): 1233.

Chamidah, Nur, and Budi Lestari. “Spline Estimator in Homoscedastic Multiresponse Nonparametric Regression Model in Case of Unbalanced Number of Observations.” Far East Journal of Mathematical Sciences (FJMS) 100 (November 3, 2016): 1433–53. https://doi.org/10.17654/MS100091433.

Charisma, Acivrida Mega. “Gambaran Hasil Pemeriksaan Jumlah Trombosit Dan Nilai Hematokrit Pada Pasien Demam Berdarah Dengue (DBD) Di RSU Anwar Medika Periode Februari-Desember 2016.” Journal of Pharmacy and Science 2, no. 2 (July 7, 2017): 15–19.

Grajeda, Laura M., Andrada Ivanescu, Mayuko Saito, Ciprian Crainiceanu, Devan Jaganath, Robert H. Gilman, Jean E. Crabtree, et al. “Modelling Subject-Specific Childhood Growth Using Linear Mixed-Effect Models with Cubic Regression Splines.” Emerging Themes in Epidemiology 13 (January 7, 2016). https://doi.org/10.1186/s12982-015-0038-3.

Islamiyati, A., Fatmawati, and N. Chamidah. “Estimation of Covariance Matrix on Bi-Response Longitudinal Data Analysis with Penalized Spline Regression.” Journal of Physics: Conference Series 979 (March 2018): 012093. https://doi.org/10.1088/1742-6596/979/1/012093.

Islamiyati, Anna. “Spline Polynomial Truncated Dalam Regresi Nonparametrik.” Jurnal Matematika, Statistika Dan Komputasi 14, no. 1 (February 11, 2018): 54–60. https://doi.org/10.20956/jmsk.v14i1.3538.

———. “Taksiran Kurva Regresi Spline Pada Data Longitudinal Dengan Kuadrat Terkecil.” Jurnal Matematika, Statistika Dan Komputasi 11, no. 1 (February 1, 2018): 77–83. https://doi.org/10.20956/jmsk.v11i1.3432.

Islamiyati, Anna, Fatmawati, and Nur Chamidah. “Ability of Covariance Matrix in Bi-Response Multi-Prredictor Penalized Spline Model Through Longitudinal Data Simulation.” Preprint. INA-Rxiv, November 6, 2019. https://doi.org/10.31227/osf.io/bjqv4.

———. “Fungsi Goodness of Fit Dalam Kriteria Penalized Spline Pada Estimasi Regresi Nonparametrik Birespon Untuk Data Longitudinal.” In Prosiding Seminar Nasional Matematika dan Aplikasinya 2017: Peranan Matematika dan Sistem Informasi di Era Big Data untuk Menunjang Perkembangan Iptek di Indonesia, 216–21. Surabaya: Departemen Matematika Fakultas Sains dan Teknologi Universitas Airlangga Surabaya, 2017. http://math.fst.unair.ac.id/wp-content/uploads/2017/10/32-Anna-Islamiyati__Statistika_.pdf.

Kementerian Kesehatan Republik Indonesia. “Demam Berdarah Biasanya Mulai Meningkat Di Januari,” January 8, 2015. http://www.depkes.go.id/ article/print/15011700003.

Lestari, B., Fatmawati, I. N. Budiantara, and N. Chamidah. “Estimation of Regression Function in Multi-Response Nonparametric Regression Model Using Smoothing Spline and Kernel Estimators.” Journal of Physics: Conference Series 1097 (September 2018): 012091. https://doi.org/10.1088/1742-6596/1097/1/012091.

Liang, Hua, and Yuanhui Xiao. “Penalized Splines For Longitudinal Data With An Application In AIDS Studies.” Journal of Modern Applied Statistical Methods 5, no. 1 (May 1, 2006). https://doi.org/10.22237/jmasm/1146456660.

Lontoh, Reinhard Y., A J M Rattu, and Wulan P. J. Kaunang. “Hubungan Antara Pengetahuan Dan Sikap Dengan Tindakan Pencegahan Demam Berdarah Dengue (DBD) Di Kelurahan Malalayang 2 Lingkungan III.” Pharmacon 5, no. 1 (February 9, 2016). https://ejournal.unsrat.ac.id/index.php/pharmacon/article/view/11382.

Nisai, Shofa F., and I. Nyoman Budiantara. “Analisis Survival dengan Pendekatan Multivariate Adaptive Regression Splines pada Kasus Demam Berdarah Dengue (DBD).” Jurnal Sains dan Seni ITS 1, no. 1 (September 11, 2012): D318-D323–D323. https://doi.org/10.12962/j23373520.v1i1.2165.

Seera, Manjeevan, Chee Peng Lim, Shing Chiang Tan, and Chu Kiong Loo. “A Hybrid FAM–CART Model and Its Application to Medical Data Classification.” Neural Computing and Applications 26, no. 8 (November 1, 2015): 1799–1811. https://doi.org/10.1007/s00521-015-1852-9.

Sriliana, Idhia, and Nyoman Budiantara. “Truncated Spline Regression in Linear Partial Model for Longitudinal Data,” 2012.

Sudiarsa, I. Wayan, I. Nyoman Budiantara, Suhartono, and Santi Wulan Purnami. “Combined Estimator Fourier Series and Spline Truncated in Multivariable Nonparametric Regression.” Applied Mathematical Sciences 9 (2015): 4997–5010. https://doi.org/10.12988/ams.2015.55394.




DOI: https://doi.org/10.24256/jpmipa.v7i2.799

Article Metrics

Abstract view : 25 times
PDF - 7 times

Refbacks

  • There are currently no refbacks.


View My Stats