ESTIMASI KURVA REGRESI SPLINE PADA DATA LONGITUDINAL DENGAN METODE KUADRAT TERKECIL
DOI:
https://doi.org/10.47200/intersections.v5i2.583Keywords:
longitudinal data, least squares, spline regressionAbstract
This article examines the estimation of spline regression, especially its use in longitudinal data. Longitudinal data is data obtained based on observations made as many as n objects that are independent with each object being repeatedly observed in different time periods and between observations in the same object are dependent besides longitudinal data is data that can distinguish the diversity of responses caused by The regression curve of the spline was estimated using the least squares. It can be seen that the estimation of the spline regression curve for longitudinal data is a class of linear estimation in response observations and is highly dependent on the knots point k1,k2,...,Kn
References
Besse, P.C., Cardot, H., dan Ferraty, F. (1997), “Simultaneous Nonparametric Regression of Unbalanced Longitudinal Data”, Computational Statistics and Data Analysis24, 255 – 270.
Carroll, R.J., Hall, P., Apanasovich, T.V., dan Lin, X. (2004), “Histospline Method in Nonparametric Regression Models with Application to Clustered/Longitudinal Data”, Statistica Sinica14, 649 – 674.
Danardono. 2012. Analisis Data Longitudi nal,Yogyakarta:UGM
Diggle, P.J.K., Liang, K.Y., dan Zeger, S.L. (1995), Analysis of Longitudinal Data, Clarendon Press, Oxford.
Eubank, R. L. (1988), Spline smoothing and Nonparametrik Regression, Marcel Dekker, New York.
Hermawan, T. (2017). REGRESI KERNEL UNTUK DATA LONGITUDINAL. Intersections, 2(2), 1-13. https://doi.org/10.47200/intersections.v2i2.528
Green, P.J., dan Silverman, B.W. (1994), Nonparametrik Regression and Generalized Linear Models (a Roughness Penalty Approach), Chapman & Hall, New York.
Islamiyati, Anna. (2009). Estimasi Spline untuk Data Longitudinal dengan Penalized Likelihood. Seminar Nasional Matematika IV ITS, Surabaya.
Islamiyati, Anna (2012). “Regresi Nonparametrik untuk Data Longitudinal”. Jurnal Matematika Statistika & Komputasi, Unhas, Makassar.
Wahba, G. (1990), Spline Model for Observational Data, Society For Industrial and Applied Mathematics, Philadelphia.
Wu, H., dan Zhang, J.T. (2006), Nonparametric Regression Methods for Longitudinal Data Analysis, John Wiley & Sons, New Jersey