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. 2021 Sep 24;4:662097. doi: 10.3389/frai.2021.662097

TABLE 4.

LMER models for the Northern Cities Shift. The dependent variable is F2 for thought (AO), lot (AA) and strut (AH), and F2-2xF1 for trap (AE) and dress (EH). R 2 shows the marginal and conditional coefficients. Deltas show the difference between the mean position of the Southern vowel and the mean position of the Northern vowel for each transcription type: AA shows divergence in GT/DS results; for the other vowels, either both models detect a difference between Inland and General North or they do not.

A. Results for region and transcription type; R 2 for entire model
Vowels Region by Transcription Region Transcription Post-hoc ΔRegionGT Post-hoc ΔRegionDS R 2
AA (n = 1901) p = 0.08 p = 0.29 p = 0.50 Δ = 0.15 t (94) = 2.9, p < 0.05 Δ = 0.07 p = 0.76 0.01
0.72
AE (n = 3433) βGT:InlandNorth = −0.02 ± 0.01 t (256) = −2.0, p < 0.05 βInlandNorth = −0.05 ± 0.01 t (312) = −4.8, p < 0.0001 p = 0.47 Δ = 0.83 z = 6.8, p < 0.0001 Δ = 0.65 z = 4.8, p < 0.0001 0.27
0.67
AH (n = 3388) p = 0.13 p = 0.24 βGT = −0.02 ± 0.007 t (2703) = −3.0, p < 0.005 Δ = 0.12 p = 0.07 Δ = 0.06 p = 0.64 0.02
0.54
AO (n = 1049) p = 0.72 p = 0.12 p = 0.15 Δ = 0.18 p = 0.58 Δ = 0.16 p = 0.46 0.03
0.74
EH (n = 4016) p = 0.31 p = 0.98 p = 0.12 Δ = 0.21 p = 0.88 Δ = 0.18 p = 1.0 0.03
0.48
B. Results for other social and linguistic variables in the model
Vowels Year of birth Gender Following environment (Nasal vs. voiced obstruent) Following environment (Nasal versus voiceless obstruent)
AA (n = 1901) β = −0.01 ± 0.004, t (137) = −2.5, p < 0.05 p = 0.68 p = 0.68 p = 0.41
AE (n = 3433) β = 0.02 ± 0.004, t (192) = −3.9, p < 0.0005 βmale = 0.02 ± 0.007, t (191) = 2.5, p < 0.05 βNas/+VoicedObs = −0.12 ± 0.01, t (219) = −8.3, p < 0.00001 βNas/-VoicedObs = −0.17 ± 0.01, t (359) = −14.9, p < 0.00001
AH (n = 3388) p = 0.08 p = 0.25 p = 0.80 p = 0.06
AO (n = 1049) p = 0.17 p = 0.20 p = 0.15 p = 0.58
EH (n = 4016) β = 0.01 ± 0.004, t (172) = −3.8, p < 0.0005 βmale = 0.02 ± 0.008, t (172) = 3.1, p < 0.005 p = 0.42 βNas/-VoicedObs = −0.04 ± 0.01, t (310) = −3.4, p < 0.001