From ceddc59f30792dba95a5dbc3c49ad3d3ce114bb8 Mon Sep 17 00:00:00 2001
From: Adrian Kriger <59996720+AdrianKriger@users.noreply.github.com>
Date: Thu, 7 Sep 2023 12:34:06 +0200
Subject: [PATCH] Update index.md
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# (Geo)spatial Statistics with R (Meuse)
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In this exercise, we will explore the concepts and applications of Deterministic and Stochastic Interpolation Methods. We traverse such technics as:
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b. Linear Regression
c. Inverse Distance Weighting
d. Ordinary Least Squares
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**2) Stochastic methods**
a. Variograms and Kriging
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**3)** we also briefly highlight ways we can **interrogate the quality** of an interpolation with;
a. $N$-fold cross validation; and
b. Residual Mean Squared Error (rmse).
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For this assignment we use a dataset that is well-suited to illustrate these concepts. The [meuse](https://search.r-project.org/CRAN/refmans/sp/html/meuse.html) dataset which comes with the `gstat` package.
**meuse**: gives locations (on a regular grid) and topsoil heavy metal concentrations, along with a number of soil and landscape variables at the observation locations, collected in a flood plain of the river Meuse, near the village of Stein (NL). Heavy metal concentrations are from composite samples of an area of approximately 15 m x 15 m.