Table 2.

Fit Statistics for the Full Twin Moderation Models and Nested Submodels.

Models	−2lnL	df	AIC	BIC	SBIC	$\text{ΔLL}$	${\chi }^2\text{Δ}$	p
MEBS Total Score
Full Model	2224.718	15	2254.718	2315.178	2267.579	--	--	--
Nested Submodels:
No moderation	2250.654	9	2268.655	2304.931	2276.372	25.936	6	<.001
No a quadratic moderator	2226.122	14	2254.122	2310.551	2266.126	1.404	1	.24
No c quadratic moderator	2224.756	14	2252.755	2309.185	2264.759	0.038	1	.85
No e quadratic moderator	2237.096	14	2265.097	2321.526	2277.101	12.378	1	<.001
MEBS Total Score without Binge Eating Items
Full Model	2209.644	15	2239.644	2300.104	2252.505	--	--	--
Nested Submodels:
No moderation	2231.202	9	2249.201	2285.477	2256.918	21.558	6	.001
No a quadratic moderator	2210.742	14	2238.742	2295.172	2250.746	1.098	1	.29
No c quadratic moderator	2210.048	14	2238.048	2294.477	2250.052	0.404	1	.53
No e quadratic moderator	2218.990	14	2246.989	2303.419	2258.993	9.346	1	.002
No a or c quadratic moderators	2210.780	13	2236.780	2289.179	2247.927	1.136	2	.57
No a moderation	2210.348	13	2236.349	2288.748	2247.496	0.704	2	.70
No a moderation or c quadratic moderator	2210.408	12	2234.408	2282.776	2244.697	0.764	3	.86
Weight and Shape Factor Score
Full Model	2165.636	15	2195.636	2256.097	2208.498	--	--	--
Nested Submodels:
No moderation	2170.786	9	2188.786	2225.062	2196.503	5.150	6	.53
No a quadratic moderator	2168.066	14	2196.066	2252.495	2208.070	2.430	1	.12
No c quadratic moderator	2168.318	14	2196.318	2252.748	2208.322	2.682	1	.10
No e quadratic moderator	2167.724	14	2195.725	2252.154	2207.728	2.088	1	.15
No a moderation	2169.022	13	2195.022	2247.421	2206.169	3.386	2	.18
No c moderation	2168.184	13	2194.183	2246.582	2205.330	0.050	2	.98
No e moderation	2168.108	13	2194.108	2246.507	2205.254	2.472	2	.29
Weight and Shape Factor Score without Binge Eating Items
Full Model	2184.698	15	2214.698	2275.158	2227.559	--	--	--
Nested Submodels:
No moderation	2190.546	9	2208.545	2244.821	2216.262	5.848	6	.44
No a quadratic moderator	2186.390	14	2214.390	2270.82	2226.394	1.692	1	.19
No c quadratic moderator	2184.798	14	2212.797	2269.227	2224.801	0.100	1	.75
No e quadratic moderator	2188.262	14	2216.263	2272.692	2228.267	3.564	1	.06
No a moderation	2188.404	13	2214.404	2266.803	2225.551	3.706	2	.16
No c moderation	2185.074	13	2211.075	2263.474	2222.221	0.376	2	.83
No e moderation	2188.336	13	2214.337	2266.736	2225.484	3.638	2	.16

Note. Full model = model with all paths and all moderators; a = additive genetic effect; c = shared environmental influences; e = non-shared environmental influences; MEBS = Minnesota Eating Behavior Survey; binge eating = MEBS binge eating subscale score; −2lnL = minus twice the log-likelihood; df = degrees of freedom; AIC = Akaike information criterion; BIC = Bayesian information criterion; ${\chi }^2\text{Δ}$ = change in chi-square compared to the full model; $\text{Δdf}$ = change in the degrees of freedom compared to the full model. The best fitting models are noted by borders and bolded text.