{'fraction_non_alphanumeric': 0.018214936247723135, 'fraction_numerical': 0.00546448087431694, 'mean_word_length': 4.978260869565218, 'pattern_counts': {'":': 0, '<': 0, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
Combining Statistical Tests by Multiplying P-values

A general discussion on combining statistical hypothesis tests is followed by an application involving point source detection in skymaps. The traditional literature on combining statistical tests has concentrated on a regime in which p-values as large as 0.05 are still of interest, and in which it is dangerous to treat tests as truly independent. But for point source detection, very small p-values are desired, and situations can arise in which one can fairly assume independence of the tests.