動的なサンプルサイズを持つ二重にバランスの取れたサンプル
Blair Robertson1, Chris Price1, Marco Reale1
1School of Mathematics and Statistics, University of Canterbury, Private Bag 4800, Christchurch, New Zealand.
Biometrics
|February 11, 2026
まとめ
この研究は、二重にバランスの取れたサンプルを作成するための動的割り当てサンプリング(DAS)の新しい目的関数を導入する。この方法は、サンプルが空間的にバランスが取れており、補助変数もバランスが取れていることを保証し、既存の設計よりも優れた性能を発揮する。
科学分野:
- 生態学
- 環境科学
- 空間統計
背景:
- 空間サンプリング設計は、正確な母集団パラメータ推定に不可欠です。
- 空間的にバランスの取れた設計は、環境データにおける正の空間的関連性により効果的です。
- 動的割り当てサンプリング(DAS)は、空間的にバランスの取れたサンプルを描画するための最近のデザインです。
主な方法:
- DASの新しい目的関数を開発しました。
- 母集団単位間の距離の尺度のみを必要としました。
- 新しい目的関数を使用して、マスターサンプルまたはオーバーサンプルを生成しました。
結論:
- 新しい目的関数は、堅牢な二重にバランスの取れたサンプルを作成するためのDASを強化します。
- このアプローチは、空間的研究における母集団パラメータ推定の精度を向上させます。
- この方法は、空間的および補助変数のバランスを必要とする大規模な環境研究に適用可能です。
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