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All Journal BAREKENG: Jurnal Ilmu Matematika dan Terapan
Sari, Ummi
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Computer Science & IT Control & Systems Engineering Economics, Econometrics & Finance Energy Engineering Mathematics Mechanical Engineering Physics Transportation

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THE USE OF PENALIZED WEIGHTED LEAST SQUARE TO OVERCOME CORRELATIONS BETWEEN TWO RESPONSES Islamiyati, Anna; Anisa, Anisa; Zakir, Muhammad; Sirajang, Nasrah; Sari, Ummi; Affan, Fajar; Usrah, Muhammad Jayzul
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 16 No 4 (2022): BAREKENG: Journal of Mathematics and Its Applications
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (711.447 KB) | DOI: 10.30598/barekengvol16iss4pp1497-1504

Abstract

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
Co-Authors Affan, Fajar Anisa Anisa Anna Islamiyati Muhammad Zakir Sirajang, Nasrah Usrah, Muhammad Jayzul