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. 2016 Aug 8;42(12):1867–1893. doi: 10.1037/xlm0000285

Table G2. Series of Likelihood Ratio Tests, Their AIC, and p Values (Experiment 2).

Model number Fixed-effects structure AIC p (vs. model no.)
Note. In this table, the fixed-effects structure gets progressively simpler at every step; a p value < .05 suggests that the better model fit is the one with the more complex fixed-effects structure out of the two models being compared; similarly, a p value > .05 suggests that it is the simpler fixed-effects structure that best describes the data. The fixed-effects structure of the best model fit is in boldface. AIC = Akaike’s information criterion (the smaller the AIC, the better the model fit; Wagenmakers & Farrell, 2004).
fp—precritical
1 Literality × explicitness × familiarity 31,202
2 Literality × familiarity + explicitness 31,206 .02 (vs. 1)
3 Literality × explicitness + familiarity 31,207 .015 (vs. 1)
4 Familiarity × explicitness + literality 31,200 .3 (vs. 1)
5 Familiarity × explicitness 31,199 .2 (vs. 4)
6 Familiarity + explicitness 31,204 .008 (vs. 5)
rp—precritical
1 Literality × explicitness × familiarity 35,390
2 Literality × familiarity + explicitness 35,385 .8 (vs. 1)
3 Literality × explicitness + familiarity 35,385 .8 (vs. 1)
4 Familiarity × explicitness + literality 35,385 .8 (vs. 1)
5 Literality + familiarity + explicitness 35,383 .8 (vs. 2)
.8 (vs. 3)
.5 (vs. 4)
6 Literality + familiarity 35,381 .8 (vs. 5)
7 Literality + explicitness 35,391 .001 (vs. 5)
8 Familiarity + explicitness 35,384 .1 (vs. 5)
9 Familiarity 35,382 .1 (vs. 6)
.8 (vs. 8)
10 Intercept 35,390 .001 (vs. 9)
tt—precritical
1 Literality × explicitness × familiarity 36,874
2 Literality × familiarity + explicitness 36,871 .3 (vs. 1)
3 Literality × explicitness + familiarity 36,872 .2 (vs. 1)
4 Familiarity × explicitness + literality 36,872 .2 (vs. 1)
5 Literality + familiarity + explicitness 36,870 .3 (vs. 2)
.8 (vs. 3)
.8 (vs. 4)
6 Literality + familiarity 36,868 .5 (vs. 5)
7 Literality + explicitness 36,876 .004 (vs. 5)
8 Familiarity + explicitness 36,882 <.001 (vs. 5)
9 Literality 36,875 .004 (vs. 6)
10 Familiarity 36,883 <.001 (vs. 6)
fp—critical
1 Literality × explicitness × familiarity 30,269
2 Literality × familiarity + explicitness 30,265 .5 (vs. 1)
3 Literality × explicitness + familiarity 30,266 .4 (vs. 1)
4 Familiarity × explicitness + literality 30,264 .6 (vs. 1)
5 Literality + familiarity + explicitness 30,264 .4 (vs. 2)
.8 (vs. 3)
.2 (vs. 4)
6 Literality + familiarity 30,262 .5 (vs. 5)
7 Literality + explicitness 30391 <.001 (vs. 5)
8 Familiarity + explicitness 30,266 .039 (vs. 5)
9 literality 30,331 <.001 (vs. 6)
10 Familiarity 30,264 .039 (vs. 6)
rp—critical
1 Literality × explicitness × familiarity 35,502
2 Literality × familiarity + explicitness 35,498 .4 (vs. 1)
3 Literality × explicitness + familiarity 35,503 .064 (vs. 1)
4 Familiarity × explicitness + literality 35,501 .1 (vs. 1)
5 Literality + familiarity + explicitness 35,501 .03 (vs. 2)
.8 (vs. 3)
.2 (vs. 4)
6 Literality × familiarity 35,496 .9 (vs. 2)
tt—critical
1 Literality × explicitness × familiarity 33,709
2 Literality × familiarity + explicitness 33,703 .9 (vs. 1)
3 Literality × explicitness + familiarity 33,707 .2 (vs. 1)
4 Familiarity × explicitness + literality 33,707 .3 (vs. 1)
5 Literality + familiarity + explicitness 33,705 .047 (vs. 2)
.9 (vs. 3)
.5 (vs. 4)
6 Literality × familiarity 33,701 .9 (vs. 2)
fp—postcritical
1 Literality × explicitness × familiarity 39,226
2 Literality × familiarity + explicitness 39,222 .7 (vs. 1)
3 Literality × explicitness + familiarity 39,221 .8 (vs. 1)
4 Familiarity × explicitness + literality 39,222 .7 (vs. 1)
5 Literality + familiarity + explicitness 39,220 .7 (vs. 2)
.5 (vs. 3)
.8 (vs. 4)
6 Literality + familiarity 39,218 .8 (vs. 5)
7 Literality + explicitness 39,219 .3 (vs. 5)
8 Familiarity + explicitness 39,242 <.001 (vs. 5)
9 Literality 39,217 .3 (vs. 6)
.8 (vs. 7)
10 Intercept 39,240 <.001 (vs. 9)
rp—postcritical
1 Literality × explicitness × familiarity 43676
2 Literality × familiarity + explicitness 43,671 .8 (vs. 1)
3 Literality × explicitness + familiarity 43,671 .7 (vs. 1)
4 Familiarity × explicitness + literality 43,672 .6 (vs. 1)
5 Literality + familiarity + explicitness 43,670 .4 (vs. 2)
.4 (vs. 3)
.7 (vs. 4)
6 Literality + familiarity 43,668 .9 (vs. 5)
7 Literality + explicitness 43,675 .008 (vs. 5)
8 Familiarity + explicitness 43,682 <.001 (vs. 5)
9 Literality 43,673 .008 (vs. 6)
10 Familiarity 43,680 <.001 (vs. 6)
tt—postcritical
1 Literality × explicitness × familiarity 41,604
2 Literality × familiarity + explicitness 41,599 .7 (vs. 1)
3 Literality × explicitness + familiarity 41,599 .6 (vs. 1)
4 Familiarity × explicitness + literality 41,599 .7 (vs. 1)
5 Literality + familiarity + explicitness 41,597 .6 (vs. 2)
.8 (vs. 3)
.7 (vs. 4)
6 Literality + familiarity 41,598 .1 (vs. 5)
7 Literality + explicitness 41,604 .002 (vs. 5)
8 Familiarity + explicitness 41,609 <.001 (vs. 5)
9 Literality 41,605 .002 (vs. 6)
10 Familiarity 41,610 <.001 (vs. 6)