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There are many confounding variables here that make it difficult to draw a convincing conclusion. The ethnic disparity can partially be explained by the fact that white men have higher handgun ownership rates than other demographics (my guess is this is because white men also have higher incomes, not because white men inherently like guns), and such access to guns is associated with increased suicide risk.

I'm sure that's not the whole story though. And statistics on suicides are notoriously unreliable, as many communities consider it shameful and are incentivized to rationalize the person's death with another explanation.