Results

Bayesian Repeated Measures ANOVA

The seed is set, so a rerun repeats the numbers; another JASP version or seed gives slightly different ones.

Model Comparison
Models P(M) P(M|data) BFM BF10 error %
BeerType + CorrectIdentify + BeerType ✻  CorrectIdentify 0.2000 1.000 2.145×10+5 1.000  
BeerType + CorrectIdentify 0.2000 1.009×10-5 4.035×10-5 1.009×10-5 2.321
BeerType 0.2000 8.560×10-6 3.424×10-5 8.560×10-6 3.164
CorrectIdentify 0.2000 9.127×10-11 3.651×10-10 9.127×10-11 4.738
Null model (incl. subject and random slopes) 0.2000 8.978×10-11 3.591×10-10 8.978×10-11 1.803
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
BeerType 0.6000 0.4000 1.000 1.811×10-10 3.682×10+9
CorrectIdentify 0.6000 0.4000 1.000 8.560×10-6 7.788×10+4
BeerType ✻  CorrectIdentify 0.2000 0.8000 1.000 1.865×10-5 2.145×10+5
Model Averaged Posterior Summary
95% Credible Interval
Variable Level Mean SD Lower Upper
Intercept 48.42 2.306 43.69 52.88
BeerType Alcoholic 5.305 1.709 1.808 8.615
NonAlcoholic -5.305 1.709 -8.783 -2.015
CorrectIdentify 0 4.036 2.282 -0.4694 8.686
1 -4.036 2.282 -8.815 0.3421
BeerType ✻  CorrectIdentify Alcoholic & 0 -9.344 1.739 -12.90 -5.896
Alcoholic & 1 9.344 1.739 5.861 12.87
NonAlcoholic & 0 9.344 1.739 5.861 12.87
NonAlcoholic & 1 -9.344 1.739 -12.90 -5.896

Single Model Inference

Single Model Posterior Summary
95% Credible Interval
Variable Level Mean SD Lower Upper
Intercept 48.48 2.229 44.13 52.78
BeerType Alcoholic 5.360 1.714 1.861 8.756
NonAlcoholic -5.360 1.714 -8.756 -1.861
CorrectIdentify 0 4.004 2.173 -0.2655 8.303
1 -4.004 2.173 -8.303 0.2655
BeerType ✻  CorrectIdentify Alcoholic & 0 -9.298 1.766 -12.63 -5.756
Alcoholic & 1 9.298 1.766 5.756 12.63
NonAlcoholic & 0 9.298 1.766 5.756 12.63
NonAlcoholic & 1 -9.298 1.766 -12.63 -5.756

Descriptives

Descriptives
95% Credible Interval
BeerType CorrectIdentify N Mean SD SE Coefficient of variation Lower Upper
Alcoholic 0 15 49.47 20.41 5.269 0.4125 38.17 60.77
  1 42 59.15 19.82 3.058 0.3351 52.98 65.33
NonAlcoholic 0 15 57.67 20.17 5.207 0.3497 46.50 68.83
  1 42 28.71 17.42 2.689 0.6068 23.28 34.14

Descriptives plots

Bayesian Repeated Measures ANOVA - Wider Prior (r scale fixed effects = 1)

The seed is set, so a rerun repeats the numbers; another JASP version or seed gives slightly different ones.

Model Comparison
Models P(M) P(M|data) BFM BF10 error %
BeerType + CorrectIdentify + BeerType ✻  CorrectIdentify 0.2000 1.000 1.902×10+5 1.000  
BeerType 0.2000 1.181×10-5 4.726×10-5 1.181×10-5 3.154
BeerType + CorrectIdentify 0.2000 9.217×10-6 3.687×10-5 9.217×10-6 2.408
Null model (incl. subject and random slopes) 0.2000 1.236×10-10 4.944×10-10 1.236×10-10 1.833
CorrectIdentify 0.2000 7.858×10-11 3.143×10-10 7.858×10-11 4.946
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
BeerType 0.6000 0.4000 1.000 2.022×10-10 3.297×10+9
CorrectIdentify 0.6000 0.4000 1.000 1.181×10-5 5.643×10+4
BeerType ✻  CorrectIdentify 0.2000 0.8000 1.000 2.103×10-5 1.902×10+5

Descriptives

Descriptives plots

Bayesian Repeated Measures ANOVA - Effects Across Matched Models

The seed is set, so a rerun repeats the numbers; another JASP version or seed gives slightly different ones.

Model Comparison
Models P(M) P(M|data) BFM BF10 error %
BeerType + CorrectIdentify + BeerType ✻  CorrectIdentify 0.2000 1.000 2.145×10+5 1.000  
BeerType + CorrectIdentify 0.2000 1.009×10-5 4.035×10-5 1.009×10-5 2.321
BeerType 0.2000 8.560×10-6 3.424×10-5 8.560×10-6 3.164
CorrectIdentify 0.2000 9.127×10-11 3.651×10-10 9.127×10-11 4.738
Null model (incl. subject and random slopes) 0.2000 8.978×10-11 3.591×10-10 8.978×10-11 1.803
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
BeerType 0.4000 0.4000 1.865×10-5 1.811×10-10 1.030×10+5
CorrectIdentify 0.4000 0.4000 1.009×10-5 8.560×10-6 1.178
BeerType ✻  CorrectIdentify 0.2000 0.2000 1.000 1.009×10-5 9.914×10+4
Note.  Compares models that contain the effect to equivalent models stripped of the effect. Higher-order interactions are excluded. Analysis suggested by Sebastiaan Mathôt.

Descriptives

Descriptives plots