Results

Repeated Measures ANOVA

Within Subjects Effects
Cases Sum of Squares df Mean Square F p
Tone 1.077 1 1.077 0.455 0.504
Tone PTSD 0.744 1 0.744 0.314 0.578
Tone Age 7.100 1 7.100 2.999 0.091
Residuals 94.695 40 2.367  
Note.  Type III Sum of Squares
Between Subjects Effects
Cases Sum of Squares df Mean Square F p
PTSD 15.506 1 15.506 0.607 0.440
Age 173.313 1 173.313 6.787 0.013
Residuals 1021.474 40 25.537  
Note.  Type III Sum of Squares

Post Hoc Tests

Post Hoc Comparisons - Tone
Mean Difference SE t pholm
Standard Deviant 2.471 0.336 7.345 < .001
Note.  Results are averaged over the levels of: PTSD

Bayesian Repeated Measures ANOVA

Model Comparison
Models P(M) P(M|data) BFM BF10 error %
Tone + Age 0.100 0.429 6.774 1.000
Tone + PTSD + Age 0.100 0.270 3.323 0.628 3.053
Tone 0.100 0.114 1.161 0.266 1.628
Tone + PTSD + Age + Tone   PTSD 0.100 0.095 0.949 0.222 3.778
Tone + PTSD 0.100 0.068 0.661 0.159 2.984
Tone + PTSD + Tone   PTSD 0.100 0.023 0.210 0.053 3.561
Age 0.100 4.691×10-7 4.222×10-6 1.092×10-6 0.972
PTSD + Age 0.100 2.350×10-7 2.115×10-6 5.473×10-7 1.330
Null model (incl. subject and random slopes) 0.100 1.148×10-7 1.033×10-6 2.672×10-7 0.837
PTSD 0.100 5.540×10-8 4.986×10-7 1.290×10-7 2.009
Note.  All models include subject, and random slopes for all repeated measures factors.
Analysis of Effects
Effects P(incl) P(excl) P(incl|data) P(excl|data) BFincl
Tone 0.600 0.400 1.000 8.743×10-7 762494.869
PTSD 0.600 0.400 0.456 0.544 0.560
Tone   PTSD 0.200 0.800 0.118 0.882 0.536
Age 0.500 0.500 0.795 0.205 3.867

Post Hoc Tests

Post Hoc Comparisons - Tone
    Prior Odds Posterior Odds BF10, U error %
Standard Deviant 1.000 1.830×10+6 1.830×10+6 6.539×10-12
Note.  The posterior odds have been corrected for multiple testing by fixing to 0.5 the prior probability that the null hypothesis holds across all comparisons (Westfall, Johnson, & Utts, 1997). Individual comparisons are based on the default t-test with a Cauchy (0, r = 1/sqrt(2)) prior. The "U" in the Bayes factor denotes that it is uncorrected.