Results

ANOVA

ANOVA - rt
Cases Sum of Squares df Mean Square F p η² η²p ω²
group 94725.574 2 47362.787 8.793 < .001 0.107 0.107 0.094
Residuals 791762.580 147 5386.140  
Note.  Type III Sum of Squares

Descriptives

Descriptives plots

Bayesian ANOVA

Model Comparison
Models P(M) P(M|data) BFM BF10 error %
group 0.500 0.990 100.386 1.000
Null model 0.500 0.010 0.010 0.010 0.007
Analysis of Effects - rt
Effects P(incl) P(excl) P(incl|data) P(excl|data) BFincl
group 0.500 0.500 0.990 0.010 100.386
Model Averaged R²
95% Credible Interval
  Mean Lower Upper
R² 0.094 0.030 0.170

Post Hoc Tests

Post Hoc Comparisons - group
    Prior Odds Posterior Odds BF10, U error %
1 2 0.587 0.801 1.364 0.012
  3 0.587 40.335 68.667 3.254×10-8
2 3 0.587 2.991 5.093 0.006
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.

Descriptives

Descriptives - rt
95% Credible Interval
group N Mean SD SE Coefficient of variation Lower Upper
1 50 297.515 103.008 14.567 0.346 268.240 326.789
2 50 330.526 47.088 6.659 0.142 317.143 343.908
3 50 359.015 57.711 8.162 0.161 342.613 375.416

Descriptives plots

ANOVA

ANOVA - rt
Cases Sum of Squares df Mean Square F p
group 94725.574 2 47362.787 8.793 < .001
Residuals 791762.580 147 5386.140  
Note.  Type III Sum of Squares

Descriptives

Descriptives plots

Bayesian ANOVA

Model Comparison
Models P(M) P(M|data) BFM BF10 error %
group 0.500 0.990 100.386 1.000
Null model 0.500 0.010 0.010 0.010 0.007

Descriptives

Descriptives - rt
95% Credible Interval
group N Mean SD SE Coefficient of variation Lower Upper
1 50 297.515 103.008 14.567 0.346 268.240 326.789
2 50 330.526 47.088 6.659 0.142 317.143 343.908
3 50 359.015 57.711 8.162 0.161 342.613 375.416

Descriptives plots