Complex sentence: These limitations on Wilks theorem do not negate any power properties of a particular likelihood ratio test, only that a\\ chi ^ 2 distribution is sometimes not appropriate for determining the statistical significance of the result.
Split into simpler sentences: These limitations on Wilks theorem do not negate any power properties of a particular likelihood ratio test. The only issue is that a\\ chi ^ 2 distribution is sometimes not appropriate for determining the statistical significance of the result.