Best Weighted Selection in Handling Error Heterogeneity Problem on Spatial Regression Model

Sri Sulistijowati Handajani, Cornelia Ardiana Savita, Hasih Pratiwi, Yuliana Susanti

2018

Abstract

Spatial regression model is a regression model that is formed because of the relationship between independent variables with dependent variable with spasial effect. This is due to a strong relationship of observation in a location with other adjacent locations. One of assumptions in spatial regression model is homogeneous of error variance, but we often find the diversity of data in several different locations. This causes the assumption is not met. One such case is the poverty case data in Central Java Province. The objective of this research is to get the best model from this data with the heterogeneity in error. Ensemble technique is done by simulating noises (m) from normal distribution with mean nol and a standard deviation σ of the spasial model error taken and adding noise to the dependent variable. The technique is done by comparing the queen weighted and the cross-correlation normalization weighted in forming the model. Furthermore, with these two weights, the results will be compared using R2 and RMSE on the poverty case data in province of Central Java. Both of weights are calculated to determine the significant factors that give influence on poverty and to choose the best model. The results of the case study show that the spatial regression model of the SEM ensemble already does not have a variance error that is not homogeneous and the model using cross-normalization weight is better than the spatial regression model of SEM ensemble with Queen contiguity weight.

Paper Citation

in Harvard Style

Handajani S., Savita C., Pratiwi H. and Susanti Y. (2018). Best Weighted Selection in Handling Error Heterogeneity Problem on Spatial Regression Model.In Proceedings of the International Conference on Mathematics and Islam - Volume 1: ICMIs, ISBN 978-989-758-407-7, pages 293-299. DOI: 10.5220/0008521002930299

in Bibtex Style

@conference{icmis18,
author={Sri Sulistijowati Handajani and Cornelia Ardiana Savita and Hasih Pratiwi and Yuliana Susanti},
title={Best Weighted Selection in Handling Error Heterogeneity Problem on Spatial Regression Model},
booktitle={Proceedings of the International Conference on Mathematics and Islam - Volume 1: ICMIs,},
year={2018},
pages={293-299},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0008521002930299},
isbn={978-989-758-407-7},
}

in EndNote Style

TY - CONF

JO - Proceedings of the International Conference on Mathematics and Islam - Volume 1: ICMIs,
TI - Best Weighted Selection in Handling Error Heterogeneity Problem on Spatial Regression Model
SN - 978-989-758-407-7
AU - Handajani S.
AU - Savita C.
AU - Pratiwi H.
AU - Susanti Y.
PY - 2018
SP - 293
EP - 299
DO - 10.5220/0008521002930299