# Estimation of Covariance Matrix on Bi-Response Longitudinal Data Analysis with Penalized Spline Regression
> Islamiyati A.

URL kanonis: https://discover.unhas.ac.id/publications/estimation-of-covariance-matrix-on-bi-response-longitudinal-data-analysis-with-p
Jurnal / Konferensi: Journal of Physics Conference Series
Tahun terbit: 2018
DOI: https://doi.org/10.1088/1742-6596/979/1/012093
ISSN: 17426588
Citations: 25

## Authors
- Islamiyati A.

## Abstract
The correlation assumption of the longitudinal data with bi-response occurs on the measurement between the subjects of observation and the response. It causes the auto-correlation of error, and this can be overcome by using a covariance matrix. In this article, we estimate the covariance matrix based on the penalized spline regression model. Penalized spline involves knot points and smoothing parameters simultaneously in controlling the smoothness of the curve. Based on our simulation study, the estimated regression model of the weighted penalized spline with covariance matrix gives a smaller error value compared to the error of the model without covariance matrix.

## Keywords
- Covariance matrix
- Spline (mechanical)
- Longitudinal data
- Mathematics
- Statistics
- Regression
- Covariance
- Regression analysis
- Estimation of covariance matrices
- Analysis of covariance
- Applied mathematics
- Econometrics
- Computer science
- Data mining
- Engineering
- Structural engineering

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Sumber: Discover Unhas — RIMS Universitas Hasanuddin.
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