Review Article

Testing Gaussianity, Homogeneity, and Isotropy with the Cosmic Microwave Background

Table 2

Final probabilities of obtaining, in a random ฮ› CDM Universe, a chi-square value smaller or equal to ( ๐œ’ 2 ) ๐‘™ โ„“ ( ๐‘œ ๐‘ ๐‘  ) , as given by full-sky temperature maps.

๐‘™ โงต โ„“ 2 3 4 5 6 7 8 9 10

2 81.1% 73.7% 54.1%6.1% 80.7% 46.4% 36.9% 47.5% 81.8%
4 74.0% 72.6% 55.0% 39.6% 74.2%93.2% 51.6% 55.4% 56.3%
6 78.1% 80.7% 69.3% 52.3% 33.6% 80.0%95.0% 50.3% 82.2%
8 63.5% 87.7% 18.8% 51.5% 21.4% 66.4% 31.6% 27.5% 82.3%
10 67.9% 50.0% 61.0%8.7% 37.7% 59.5% 36.6% 29.2% 35.7%