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I mean in the general population. I'm aware of proposals/constructs like malignant narcissism but the empirical evidence (in the Wikipedia page at least) is mostly case-based (serial killers and so forth), i.e. anecdotal.

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At least among a sample of high-school students the dark tetrad correlations look like:

enter image description here

So there's only a moderate correlation between narcissism and sadism (0.37), but it turned out to be strongest of the six (as commonly measured). However it was only the 2nd strongest after an oblique rotation, the psyhopathic-sadistic one "winning" by small margin (0.02) in that approach:

To evaluate if the different measures of these four traits loaded on a more general second-order factor, we conducted a hierarchical analysis of oblique factors which showed there was not a general deviant personality factor that was likely to reflect all types of traits. There appeared to be four primary unique factors corresponding to psychopathic, narcissistic, Machiavellian and sadistic traits. The four constructs thus obtained, appeared to display a greater degree of independence than the original four, with Pearson’s r ranging from .01 to .26 (Fig. 1).

So despite their moderate correlation (all four) dark tetrad bits are seen as reasonably independent factors.

What I find strange in that figure is that after the oblique rotation there was practically no correlation between Machiavellianism and psychopathy. I'm not sure what to make of that.

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