A New Method of Hypothesis Test for Truncated Spline Nonparametric Regression Influenced by Spatial Heterogeneity and Application
Joint Authors
Sifriyani, Alexander
Budiantara, I. N.
Kartiko, S. H.
Gunardi, S. H.
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-09-12
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
This study developed a new method of hypothesis testing of model conformity between truncated spline nonparametric regression influenced by spatial heterogeneity and truncated spline nonparametric regression.
This hypothesis test aims to determine the most appropriate model used in the analysis of spatial data.
The test statistic for model conformity hypothesis testing was constructed based on the likelihood ratio of the parameter set under H0 whose components consisted of parameters that were not influenced by the geographical factor and the set under the population parameter whose components consisted of parameters influenced by the geographical factor.
We have proven the distribution of test statistics V and verified that each of the numerators and denominators in the statistic test V followed a distribution of χ2.
Since there was a symmetric and idempotent matrix S, it could be proved that Y~TS Y~/σ2~χn-lm-12.
Matrix Dui,vi was positive semidefinite and contained weighting matrix Wui,vi which had different values in every location; therefore matrix Dui,vi was not idempotent.
If Y~TDui,viY~≥0 and Dui,vi was not idempotent and also Y~ was a N0,I distributed random vector, then there were constants k and r; hence Y~TDui,viY~~kχr2; therefore it was concluded that test statistic V followed an F distribution.
The modeling is implemented to find factors that influence the unemployment rate in 38 areas in Java in Indonesia.
American Psychological Association (APA)
Sifriyani, Alexander& Budiantara, I. N.& Kartiko, S. H.& Gunardi, S. H.. 2018. A New Method of Hypothesis Test for Truncated Spline Nonparametric Regression Influenced by Spatial Heterogeneity and Application. Abstract and Applied Analysis،Vol. 2018, no. 2018, pp.1-13.
https://search.emarefa.net/detail/BIM-1114315
Modern Language Association (MLA)
Sifriyani, Alexander…[et al.]. A New Method of Hypothesis Test for Truncated Spline Nonparametric Regression Influenced by Spatial Heterogeneity and Application. Abstract and Applied Analysis No. 2018 (2018), pp.1-13.
https://search.emarefa.net/detail/BIM-1114315
American Medical Association (AMA)
Sifriyani, Alexander& Budiantara, I. N.& Kartiko, S. H.& Gunardi, S. H.. A New Method of Hypothesis Test for Truncated Spline Nonparametric Regression Influenced by Spatial Heterogeneity and Application. Abstract and Applied Analysis. 2018. Vol. 2018, no. 2018, pp.1-13.
https://search.emarefa.net/detail/BIM-1114315
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1114315