I'd be really curious to see if another group of researchers would come to the same conclusions looking at the same data. I read an article about this study when it came out, and it caught my eye. Looking at the paper, I would have liked to see a clearer rationale about why the data was analyzed the way it was. For example, why did they look at a window of +1/-1 days around a nuclear test, instead of some other window? Do the statistical effects they are seeing go away if slightly different windows are chosen? If they only look at the period right before the test, is there still a statistically significant effect? If so, that would rule out the possible effects they mention due to contamination etc from the test.