Complex sentence: In particular, one can show that under nearly all disease models the expected proportion of b and c are identical, validating the use of a\\ chi ^ 2 test whether these proportions are equal.
Split into simpler sentences: In particular, one can show that under nearly all disease models the expected proportion of b and c are identical. This result motivates the use of a\\ chi ^ 2 test to test whether these proportions are equal.