Skip to main content
. Author manuscript; available in PMC: 2018 Jan 1.
Published in final edited form as: Struct Equ Modeling. 2016 Dec 5;24(2):230–245. doi: 10.1080/10705511.2016.1252265

Table 3. Minimum and maximum bootstrap selection model selection rates of the 3 fitted 2-group models in relation to AIC differences observed in samples drawn from the population.

Δ AIC Model 1 Model 2 Model 3
N=200
min max #samp min max #samp min max #samp
0-2 0.136 0.518 53 0.564 0.862 59 0.112 0.457 56
2-4 0.181 0.538 20 0.501 0.908 89 0.196 0.515 37
4-6 0.265 0.606 6 0.619 0.906 81 0.255 0.623 17
6-8 0.297 0.509 4 0.534 0.935 105 0.436 0.544 3
8-10 0.37 0.783 3 0.694 0.968 88 0.388 0.651 3
10-12 0.643 0.643 1 0.514 0.974 73 NA NA 0
12-15 0.643 0.643 1 0.55 0.982 102 NA NA 0
15-20 NA NA 0 0.683 0.992 100 NA NA 0
>20 NA NA 0 0.687 0.996 94 NA NA 0
N=350
0-2 0.179 0.353 25 0.69 0.862 48 0.084 0.319 27
2-4 0.242 0.449 20 0.688 0.9 67 0.165 0.443 8
4-6 0.348 0.487 7 0.783 0.943 71 0.262 0.371 4
6-8 0.47 0.542 2 0.824 0.954 74 0.459 0.459 1
8-10 0.511 0.511 1 0.859 0.967 64 NA NA 0
10-12 NA NA 0 0.898 0.981 81 NA NA 0
12-15 NA NA 0 0.787 0.988 97 NA NA 0
15-20 NA NA 0 0.914 0.996 151 NA NA 0
>20 NA NA 0 0.815 1 252 NA NA 0
N=700
0-2 0.274 0.348 2 0.734 0.734 1 NA NA 0
2-4 0.317 0.364 3 0.79 0.868 3 NA NA 0
4-6 NA NA 0 0.842 0.855 2 NA NA 0
6-8 NA NA 0 0.907 0.954 4 NA NA 0
8-10 NA NA 0 0.875 0.968 6 NA NA 0
10-12 NA NA 0 0.91 0.964 8 NA NA 0
12-15 NA NA 0 0.922 0.988 22 NA NA 0
15-20 NA NA 0 0.932 0.996 54 NA NA 0
>20 NA NA 0 0.962 1 895 NA NA 0

Note: Δ AIC is the AIC difference between the best and second-best fitting model in samples drawn from the population. Min and max are the minimum and maximum bootstrap selection rates for samples within a given range of Δ AIC presented for each winning model, and #samp is the number of samples within that range favoring that model. For instance, for N=200, there were 53 samples (out of P=1000) with an AIC difference between 0 and 2 favoring model 1, and the minimum and maximum bootstrap selection rates for model 1 were 0.136 and 0.518, respectively.