Table 3.

Comparison of logistic regression models using likelihood ratio test

Model number	Variables added	Model architecture	Residual deviance	df	Model comparisons (LRT)
1	Null	Y ∼ 1	2182.1	1597
2	Male	Y ∼ Male	2149.4	1593	2 vs. 1: χ2 = 32.70, df = 4, P = 10−6
3	Female	Y ∼ Female	2168.4	1593	3 vs. 1: χ2 = 13.63, df = 4, P = 0.01
4	Both	Y ∼ Male + Female	2136.1	1589	4 vs. 2: χ2 = 13.29, df = 4, P = 0.01
					4 vs. 3: χ2 = 32.37, df = 4, P = 10−6
5	Interaction	Y ∼ Male + Female + interaction	2042.3	1573	5 vs. 4: χ2 = 93.82, df = 16, P = 10−13

Significant LRT signifies a better fit to the data in the more complex model.

LRT, likelihood ratio test.