Development of a new spatial auto-correlation method for precisely testing the "First Law of Geography"
| Project/Area Number |
24650606
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| Research Category |
Grant-in-Aid for Challenging Exploratory Research
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| Allocation Type | Multi-year Fund |
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| Research Field |
Geography
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| Research Institution | Aoyama Gakuin University |
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Principal Investigator |
OKABE Atsuyuki 青山学院大学, 総合文化政策学部, 教授 (10114050)
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| Co-Investigator(Kenkyū-buntansha) |
YAMADA Ikuho 中央大学, 理工学部人間総合理工学科, 教授 (00594756)
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| Project Period (FY) |
2012-04-01 – 2015-03-31
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| Project Status |
Completed (Fiscal Year 2014)
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| Budget Amount *help |
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2014: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2013: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2012: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Keywords | 空間自己相関 / モランのＩ指標 / 統計検定用数表 / モンテカルロシミュレーション / 地理の第1法則 / モラン / ローカル統計 / グローバル統計 / 統計的検定 / 組み合わせ法 / 第一種の過誤 / モンテカルロ法 / ローカル統計量 / グローバル統計量 / モンテカルロ |
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| Outline of Final Research Achievements |
This study proposes a precise method for using Moran’s I index, one of the most frequently used methods for testing spatial autocorrelation. In the related literature, most studies assume that Moran’s I index is normally distributed if the number of zones is around one hundred. This study shows that even for that large number, the normality is not satisfied; consequently, empirical studies using Moran’s I index with such a number of zones are likely to lead false conclusions. To avoid these false conclusions, this study carried out a huge number of Monte Carlo simulations, and obtained the numerical table of the critical values for Moran’s I index. Using this table, researchers can perform a precise statistical test for spatial autocorrelation.
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Report
(4 results)
Research Products
(10 results)
