Effect of Spatial Data Units on the Variance of a Regression Model Containing a Distance Variable Between a Pre-determined Point and the Spatial Data Unit

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  • 地区単位で集計された距離を説明変数とする回帰モデルの安定性
  • チク タンイ デ シュウケイサレタ キョリ オ セツメイ ヘンスウ ト スル
  • リュウシュツ モデル ノ コウチク ニ オケル GIS ノ オウヨウ ニカンス

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Abstract

This paper investigates a problem which arises when we wish to estimate a regression coefficient using a distance variable between a pre-determined point and a spatial data unit. First, we show that the variance of the regression coefficient decreases with the number of the units and propose a desirable number of the units whose variance is close to that of a disaggregated model. Second, we obtain the shapes of the units that achieve the minimum and the maximum variances assuming a constant number of the units to examine the influence of the shape of the units on the variance.

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