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You always have to wonder how much data dredging they did to find this result, although they don't seem to have many choices for their subgroups analysis. Although you've mentioned some they don't look like the type of hypotheses that would be sensible. Arts majors are more sensitive to temperature changes is not likely to get an acceptance, even in PLos one.

There does seem to be some justification for the hypothesis. Women are different physically and physiologically which may make them more sensitive to temperature, and a quick Google does show up some evidence of a preference for higher temperatures.

For the difference in error variance I would try a nonparametric bootstrap. There are also a couple of programs that allow for models allowing for this. It wouldn't surprise me if that produced an even more convincing result.

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