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If we work on groundwater data, if the data is not normally distributed, can we apply geostatistics on this data without transforming it to normal distribution?

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    $\begingroup$ Hi Araminta. Welcome to CV. Is there any compelling reason why it has to be normal data and if other wise it has to be transformed? In general, normality can be a desirable trait, but lack of it is not a huge hindrance in itself. Please cite your sources that have prompted such assertion, if there is any. $\endgroup$ Commented Dec 1, 2023 at 7:01

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Geostatistics is an entire branch of statistics -- it's all the statistics that are applied to spatial data. Some of its methods may require normally distributed data (see below), but many do not. For instance, kriging is a common geostatististical method and it does not require normal data, as this Wikipedia article makes clear.

Are you asking about some specific method within geostatistics?

Re Normality of data requirement: If you apply more general statistical methods to geographic data, I think that qualifies as geostatistics. But even, say, a linear multilevel model does not require normal data, it assumes normally distributed errors. And, if that assumption is grossly violated, you can use a nonlinear MLM.

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