Top-Down Effects of Syntax Supplemental Materials Top-Down Effects of Syntactic Sentential Context on Phonetic Processing by N. P. Fox & S. E. Blumstein, 2015, JEP: Human Perception and Performance http://dx.doi.org/10.1037/a0039965 Supplementary Materials A: Complete Results and Discussion of Experiment 1 A.1. Details of Analysis Procedures Because subjects’ responses were categorical (/p/ vs. /b/), the data were analyzed using mixed effects logistic regression (Baayen, Davidson & Bates, 2008; Jaeger, 2008), implemented using the lme4 package (Bates, Maechler, Bolker & Walker, 2014) in R (R Core Team, 2014). Factorial main effects (CONTEXT, CONTINUUM, BIAS, and SPEED) were deviation-coded (contrasts: 0.5, -0.5; positive contrasts corresponded to noun-biased, buy–pie, /p/-congruent, and fast trials). VOT was a centered, continuous fixed effect. Since the design was fully withinsubjects and within-items (an item corresponded to a main verb; e.g., hated), the maximal random effects structure (Barr, Levy, Scheepers & Tily, 2013) for this design included all random intercepts, slopes and interactions for every subject and item. In order to achieve convergence while minimizing the risk of inferential bias (Barr et al., 2013), random correlations were excluded. A.2. Supplementary Results/Discussion Besides the two critical findings discussed in the main text (CONTEXT × CONTINUUM and BIAS × SPEED interactions), our results provided evidence that several other factors influence subjects’ responses. Most are attributable to phonetic factors in our stimuli and well-established observations about how context effects interact with phonetic factors in speech perception. 1 Top-Down Effects of Syntax A.2.1. Analysis 1a (omnibus): CONTEXT × CONTINUUM × VOT In addition to the crucial CONTEXT × CONTINUUM interaction in Experiment 1, there was a main effect of VOT (β = 0.42, SE = 0.04, |z| = 11.70, p < 0.001) such that tokens with longer VOTs were more often labeled as beginning with /p/, as expected given that VOT is the primary cue distinguishing the /b/ and /p/ categories in English (Liberman, Harris, Kinney & Lane, 1961). A significant VOT × CONTEXT interaction (β = 0.10, SE = 0.03, |z| = 3.58, p < 0.001) replicates previous work showing that the size of a top-down bias depends on the acoustic ambiguity of the stimuli (Burton, Baum & Blumstein, 1989; Ganong, 1980; McQueen, 1991; Pitt & Samuel, 1993; Tuinman et al, 2014; van Alphen & McQueen, 2001). As Figure 1 suggests, the closer a token’s mean rate of /p/-responses was to the phoneme category boundary (the VOT at which one would expect to see 50% /b/-responses and 50% /p/-responses), the larger the difference between subjects’ /p/-response rates at the two levels of CONTEXT appears to be. VOT interacted with CONTINUUM (β = 0.18, SE = 0.03, |z| = 6.30, p < 0.001), suggesting a somewhat stronger influence of VOT in the buy–pie continuum than in the bay–pay continuum. Although the exact source of this asymmetry is not immediately obvious, one should not necessarily expect the effect of VOT to pattern identically in the bay–pay and buy–pie continua, because VOT is only one of many cues to the identity of phonetically ambiguous (between /b/ and /p/) stimuli. Burst amplitude (Repp, 1984), subsequent vowel duration (Miller & Dexter, 1988; Summerfield, 1981), vowel identity (Klatt, 1975; Stevens & Klatt, 1974), and the lexical frequency of continuum endpoints (Fox, 1984) can all influence voicing decisions about phonetically ambiguous stimuli, and although it is not clear which of these (if any) contributed to this asymmetry in Experiment 1, it is unclear how any of these factors could account for the theoretically important CONTEXT × CONTINUUM interaction. 2 Top-Down Effects of Syntax Finally, a significant main effect of CONTEXT (β = -0.36, SE = 0.12, |z| = 2.89, p < 0.004) such that subjects were more likely to make /p/-responses after verb-biasing sentences than after noun-biasing sentences reflected the fact that the simple effect of CONTEXT was stronger in the bay–pay continuum (β = -1.37; /p/-responses to ambiguous tokens: 44.4% in noun-biased contexts vs. 65.5% in verb-biased contexts) than in the buy–pie continuum (β = 0.95; /p/responses to ambiguous tokens: 58.4% in noun-biased contexts vs. 38.5% in verb-biased contexts). Further research would be necessary to identify the specific source of this asymmetry, but one possibility is that the syntactic manipulation was more efficacious in the bay–pay continuum because the specific items in the experiment (e.g., Brett hated to...) created stronger preferences when judging between bay and pay than between buy and pie. Importantly, though, no matter the cause of this or any of the other ancillary effects discussed here, the prediction that CONTEXT would have robust, contrasting effects in the two continua was borne out by the data. A.2.2. Analysis 1b (follow-up tests): CONTEXT × VOT In addition to the reported simple effects of CONTEXT in the by-continuum follow-up tests, both analyses, as in the omnibus analysis, revealed simple effects of VOT (bay–pay: β = 0.33, SE = 0.03, |z| = 11.58, p < 0.001; buy–pie: β = 0.50, SE = 0.04, |z| = 13.74, p < 0.001) in the expected direction. Finally, there was a significant interaction between CONTEXT and VOT in the bay–pay continuum (β = 0.12, SE = 0.03, |z| = 3.48, p < 0.001) and marginal interaction in the buy–pie continuum (β = 0.07, SE = 0.04, |z| = 1.80, p = 0.07), suggesting that ambiguous tokens were differentially impacted by CONTEXT in both continua (see Supplementary Materials A.2.1 for discussion). A.2.3. Analysis 2: BIAS × SPEED × VOT 3 Top-Down Effects of Syntax In addition to the BIAS × SPEED interaction, the results revealed a main effect of VOT (β = 0.36, SE = 0.03, |z| = 12.47, p < 0.001) and a main effect of BIAS (β = 0.99, SE = 0.14, |z| = 7.21, p < 0.001), such that /p/-responses were more likely when targets had longer VOTs and in trials for which the CONTEXT and CONTINUUM jointly made /p/ the congruent response. There was also a significant VOT × SPEED interaction (β = 0.09, SE = 0.03, |z| = 3.12, p < 0.002), suggesting that slower responses to a token were less influenced by that token’s VOT. 4 Top-Down Effects of Syntax Supplementary Materials B: Complete Results and Discussion of Experiment 2 B.1. Details of Analysis Procedures Analyses followed the same approach as Experiment 1’s. When occasional convergence failures occurred, the random effects structure was simplified by removing random slopes for factors involving the VOT factor. In all cases, this simplification allowed for convergence, and the pattern of results (i.e., which fixed effects reached significance) was identical to the results of the unconverged models with all of the random effects. B.2. Supplementary Results/Discussion Besides the two critical findings of Experiment 2 discussed in the main text (CONTEXT × CONTINUUM interaction, but no BIAS × SPEED interaction), there was evidence that several other effects influenced subjects’ responses, including effects replicating most patterns seen in Experiment 1 (see Supplementary Materials A). However, aside from differing in the presence of a BIAS × SPEED interaction, Experiments 1 and 2 differed in a few other ways. In particular, the critical tokens were, on the whole, less often identified as /p/ in Experiment 2 than in Experiment 1, even for the /p/-endpoint tokens (pay-endpoint: 96.0% vs. 77.0% /p/-responses in Experiment 1 vs. 2; pie-endpoint: 86.8% vs. 76.5%). Such a pattern is consistent with earlier studies showing that the distributional statistics of acoustic-phonetic cues (e.g., VOTs) within an experimental context can produce range effects in the perception of phonetic category structure (Clayards, Tanenhaus, Aslin & Jacobs, 2008). An analysis of the VOTs of the ten naturally produced /p/-initial filler targets showed that these fillers had a mean VOT of 90 ms (with the shortest VOT being 71 ms), in contrast to 35 and 34 ms VOTs for the two critical /p/-endpoint stimuli. Thus, it appears that the longer VOTs of the filler targets affected the perception of 5 Top-Down Effects of Syntax voicing in the critical target stimuli such that the boundary between the /p/ and /b/ stimuli was now skewed towards fewer /p/ and more /b/ responses, consistent with range effects (Brady & Darwin, 1978). B.2.1. Analysis 1a (omnibus): CONTEXT × CONTINUUM × VOT In addition to the crucial CONTEXT × CONTINUUM interaction in Experiment 2, main effects of CONTEXT (β = -0.67, SE = 0.20, |z| = 3.28, p < 0.002) and VOT (β = 0.22, SE = 0.05, |z| = 4.91, p < 0.001) emerged in Experiment 2, both matching patterns observed in Experiment 1. B.2.2. Analysis 1b (follow-up tests): CONTEXT × VOT Follow-up tests in each continuum revealed significant simple effects of CONTEXT (see main text), as well as simple effects of VOT (bay–pay: β = 0.21, SE = 0.04, |z| = 5.75, p < 0.001; buy–pie: β = 0.21, SE = 0.05, |z| = 4.65, p < 0.001). B.2.3. Analysis 2: BIAS × SPEED × VOT Although there was no evidence for a BIAS × SPEED interaction, the results showed a main effect of BIAS (β = 1.01, SE = 0.21, |z| = 4.73, p < 0.001) which corresponds to the CONTEXT × CONTINUUM interaction in the primary analysis, and a main effect of VOT (β = 0.18, SE = 0.03, |z| = 5.40, p < 0.001). 6