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Suppose I have the following 2 plots showing the mean of a variable on a 2-d spatial grid, as well as the occurrence histogram (see bottom).

Is there a specific way to compare these means, even though some bins have a lot less samples? The means are higher where I expect them to be, but is intuition enough, when the sample sizes are so considerably different?

In other words, is there a technique I can use to say that the smaller sample sizes are not skewing the results for the means?

I have come across the t and f test, but I'm confused whether they are relevant here since I'm not expecting means to be different in different locations.

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