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Simultaneous Hypothesis Testing of Multivariable Nonparametric Spline Regression in the GWR Model

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  • Sifriyani Sifriyani

Abstract

In this research, studied multivariable nonparametric geographically weighted regression use truncated spline approach. The model is an expansion of nonparametric truncated spline regression that takes into account geographical or spatial factors. The purpose of this study was to find statistics test and distribution for the simultaneous hypothesis test. This study obtains the statistic test used the maximum likelihood ratio test (MLRT) method. Results of the research obtained statistics test based on the ratio between the maximum of the likelihood function under the set of H_0 and the maximum of the set likelihood function below the population with each have a spatial factor. Distribution of statistical tests has been proven to have a distribution of F. The modeling application used the percentage of the death of Dengue Hemorrhagic Fever (DHF) in 38 districts/cities in East Java Province. The modeling resulted in the determination coefficient of 80.7% and SSE value that is 0.0043.

Suggested Citation

  • Sifriyani Sifriyani, 2019. "Simultaneous Hypothesis Testing of Multivariable Nonparametric Spline Regression in the GWR Model," International Journal of Statistics and Probability, Canadian Center of Science and Education, vol. 8(4), pages 32-46, July.
    • Handle: RePEc:ibn:ijspjl:v:8:y:2019:i:4:p:32
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    References listed on IDEAS

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    1. Yee Leung & Chang-Lin Mei & Wen-Xiu Zhang, 2000. "Testing for Spatial Autocorrelation among the Residuals of the Geographically Weighted Regression," Environment and Planning A, , vol. 32(5), pages 871-890, May.
    2. Antoniadis, Anestis & Bigot, Jeremie & Sapatinas, Theofanis, 2001. "Wavelet Estimators in Nonparametric Regression: A Comparative Simulation Study," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 6(i06).
    3. A S Fotheringham & T C Pitts, 1995. "Directional Variation in Distance Decay," Environment and Planning A, , vol. 27(5), pages 715-729, May.
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    Cited by:

    1. Sifriyani Sifriyani & Suyitno Suyitno & Rizki. N. A., 2019. "Identification of Factors Affecting Food Productivity Improvement in Kalimantan Using Nonparametric Spatial Regression Method," Modern Applied Science, Canadian Center of Science and Education, vol. 13(11), pages 103-103, November.
    2. Sifriyani Sifriyani & Ruslan Ruslan & Susanty, F. H, 2019. "Mapping and Analysis Factors of Affecting Productivity Tropical Rain Forests in East Kalimantan," Modern Applied Science, Canadian Center of Science and Education, vol. 13(10), pages 112-112, October.
    3. Lilis Laome & I Nyoman Budiantara & Vita Ratnasari, 2022. "Estimation Curve of Mixed Spline Truncated and Fourier Series Estimator for Geographically Weighted Nonparametric Regression," Mathematics, MDPI, vol. 11(1), pages 1-13, December.

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    More about this item

    Keywords

    nonparametric regression; truncated spline; geographically weighted regression; multivariable; simultaneous test;
    All these keywords.

    JEL classification:

    • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
    • Z0 - Other Special Topics - - General

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