Results

Bayesian Repeated Measures ANOVA

Model Comparison
Models P(M) P(M|data) BFM BF10 error %
Null model (incl. subject and random slopes) 0.006 2.427×10-135 4.028×10-133 1.000
sound + modality + position + Order + sound   modality + sound   position + modality   position + position   Order 0.006 0.265 59.879 1.092×10+134 3.535
sound + modality + position + sound   modality + sound   position + modality   position 0.006 0.217 46.123 8.961×10+133 2.430
sound + modality + position + Order + sound   modality + sound   position + modality   position 0.006 0.104 19.166 4.266×10+133 2.423
sound + modality + position + Order + sound   modality + sound   position + modality   position + modality   Order + position   Order 0.006 0.084 15.198 3.457×10+133 4.680
sound + modality + position + Order + sound   modality + modality   position + position   Order 0.006 0.046 8.086 1.914×10+133 2.424
sound + modality + position + sound   modality + modality   position 0.006 0.043 7.399 1.758×10+133 2.506
sound + modality + position + Order + sound   position + modality   position + position   Order 0.006 0.040 6.935 1.653×10+133 2.194
sound + modality + position + sound   position + modality   position 0.006 0.036 6.187 1.481×10+133 2.677
sound + modality + position + Order + sound   modality + sound   position + modality   position + modality   Order 0.006 0.033 5.694 1.367×10+133 3.751
sound + modality + position + Order + sound   modality + modality   position 0.006 0.020 3.466 8.428×10+132 2.714
sound + modality + position + Order + sound   position + modality   position 0.006 0.017 2.909 7.097×10+132 2.562
sound + modality + position + Order + sound   modality + modality   position + modality   Order + position   Order 0.006 0.015 2.569 6.281×10+132 4.379
sound + modality + position + Order + sound   position + modality   position + modality   Order + position   Order 0.006 0.013 2.187 5.359×10+132 3.587
sound + modality + position + Order + sound   modality + sound   position + modality   position + sound   Order + position   Order 0.006 0.011 1.798 4.415×10+132 7.244
sound + modality + position + Order + modality   position + position   Order 0.006 0.008 1.309 3.223×10+132 2.610
sound + modality + position + modality   position 0.006 0.007 1.178 2.904×10+132 2.024
sound + modality + position + Order + sound   modality + modality   position + modality   Order 0.006 0.006 1.012 2.498×10+132 2.707
sound + modality + position + Order + sound   position + modality   position + modality   Order 0.006 0.005 0.855 2.113×10+132 2.391
sound + modality + position + Order + sound   modality + sound   position + modality   position + sound   Order 0.006 0.004 0.672 1.663×10+132 3.626
sound + modality + position + Order + modality   position 0.006 0.003 0.558 1.380×10+132 2.251
sound + modality + position + Order + sound   modality + sound   position + modality   position + sound   Order + modality   Order + position   Order 0.006 0.003 0.504 1.248×10+132 4.304
sound + modality + position + Order + sound   modality + sound   position + modality   position + modality   Order + position   Order + modality   position   Order 0.006 0.002 0.395 9.793×10+131 4.242
sound + modality + position + Order + modality   position + modality   Order + position   Order 0.006 0.002 0.379 9.389×10+131 2.375
sound + modality + position + Order + sound   modality + modality   position + sound   Order + position   Order 0.006 0.002 0.297 7.364×10+131 3.661
sound + modality + position + Order + sound   position + modality   position + sound   Order + position   Order 0.006 0.002 0.256 6.340×10+131 3.104
sound + modality + position + Order + sound   modality + sound   position + modality   position + sound   Order + modality   Order 0.006 0.001 0.231 5.735×10+131 8.357
sound + modality + position + Order + sound   modality + sound   position + modality   position + position   Order + sound   modality   position 0.006 0.001 0.209 5.173×10+131 5.855
sound + modality + position + Order + modality   position + modality   Order 0.006 0.001 0.169 4.199×10+131 3.036
sound + modality + position + sound   modality + sound   position + modality   position + sound   modality   position 0.006 9.559×10-4 0.159 3.939×10+131 2.075
sound + modality + position + Order + sound   modality + modality   position + sound   Order 0.006 7.154×10-4 0.119 2.948×10+131 2.579
sound + modality + position + Order + sound   position + modality   position + sound   Order 0.006 6.128×10-4 0.102 2.525×10+131 2.352
sound + modality + position + Order + sound   modality + modality   position + sound   Order + modality   Order + position   Order 0.006 5.720×10-4 0.095 2.357×10+131 4.831
sound + modality + position + Order + sound   modality + sound   position + modality   position + sound   modality   position 0.006 5.004×10-4 0.083 2.062×10+131 3.840
sound + modality + position + Order + sound   position + modality   position + sound   Order + modality   Order + position   Order 0.006 4.926×10-4 0.082 2.030×10+131 4.442
sound + modality + position + Order + sound   modality + modality   position + modality   Order + position   Order + modality   position   Order 0.006 4.553×10-4 0.076 1.876×10+131 6.397
sound + modality + position + Order + sound   position + modality   position + modality   Order + position   Order + modality   position   Order 0.006 3.990×10-4 0.066 1.644×10+131 5.991
sound + modality + position + Order + sound   modality + sound   position + modality   position + modality   Order + position   Order + sound   modality   position 0.006 3.723×10-4 0.062 1.534×10+131 4.754
sound + modality + position + Order + sound   modality + sound   position + modality   position + sound   Order + modality   Order + position   Order + sound   modality   Order 0.006 2.916×10-4 0.048 1.202×10+131 3.956
sound + modality + position + Order + modality   position + sound   Order + position   Order 0.006 2.724×10-4 0.045 1.123×10+131 2.315
sound + modality + position + Order + sound   modality + modality   position + sound   Order + modality   Order 0.006 2.268×10-4 0.038 9.348×10+130 3.943
sound + modality + position + Order + sound   position + modality   position + sound   Order + modality   Order 0.006 1.933×10-4 0.032 7.967×10+130 3.347
sound + modality + position + Order + sound   modality + sound   position + modality   position + modality   Order + sound   modality   position 0.006 1.519×10-4 0.025 6.261×10+130 4.477
sound + modality + position + Order + sound   modality + sound   position + modality   position + sound   Order + modality   Order + sound   modality   Order 0.006 1.300×10-4 0.022 5.358×10+130 4.581
sound + modality + position + Order + modality   position + sound   Order 0.006 1.211×10-4 0.020 4.989×10+130 2.791
sound + modality + position + Order + modality   position + sound   Order + modality   Order + position   Order 0.006 8.883×10-5 0.015 3.661×10+130 4.120
sound + modality + position + Order + sound   modality + sound   position + modality   position + sound   Order + modality   Order + position   Order + modality   position   Order 0.006 8.003×10-5 0.013 3.298×10+130 3.635
sound + modality + position + Order + modality   position + modality   Order + position   Order + modality   position   Order 0.006 7.037×10-5 0.012 2.900×10+130 4.039
sound + modality + position + Order + sound   modality + modality   position + sound   Order + modality   Order + position   Order + sound   modality   Order 0.006 5.777×10-5 0.010 2.381×10+130 3.873
sound + modality + position + Order + sound   modality + sound   position + modality   position + sound   Order + position   Order + sound   modality   position 0.006 4.563×10-5 0.008 1.880×10+130 4.802
sound + modality + position + Order + modality   position + sound   Order + modality   Order 0.006 3.531×10-5 0.006 1.455×10+130 2.532
sound + modality + position + Order + sound   modality + modality   position + sound   Order + modality   Order + sound   modality   Order 0.006 2.452×10-5 0.004 1.010×10+130 5.319
modality + position + Order + modality   position + position   Order 0.006 2.330×10-5 0.004 9.600×10+129 3.082
modality + position + modality   position 0.006 2.051×10-5 0.003 8.452×10+129 1.973
sound + modality + position + Order + sound   modality + sound   position + modality   position + sound   Order + sound   modality   position 0.006 1.923×10-5 0.003 7.924×10+129 6.961
sound + modality + position + Order + sound   modality + modality   position + sound   Order + modality   Order + position   Order + modality   position   Order 0.006 1.587×10-5 0.003 6.542×10+129 4.649
sound + modality + position + Order + sound   position + modality   position + sound   Order + modality   Order + position   Order + modality   position   Order 0.006 1.433×10-5 0.002 5.906×10+129 5.397
sound + modality + position + Order + sound   modality + sound   position + modality   position + sound   Order + modality   Order + position   Order + sound   modality   position 0.006 1.258×10-5 0.002 5.184×10+129 3.797
modality + position + Order + modality   position 0.006 1.019×10-5 0.002 4.199×10+129 3.330
sound + modality + position + Order + sound   modality + sound   position + modality   position + modality   Order + position   Order + sound   modality   position + modality   position   Order 0.006 9.965×10-6 0.002 4.107×10+129 3.289
sound + modality + position + Order + sound   modality + sound   position + modality   position + sound   Order + modality   Order + position   Order + sound   modality   Order + modality   position   Order 0.006 8.476×10-6 0.001 3.493×10+129 4.242
modality + position + Order + modality   position + modality   Order + position   Order 0.006 7.089×10-6 0.001 2.922×10+129 2.683
sound + modality + position + Order + sound   modality + sound   position + modality   position + sound   Order + modality   Order + sound   modality   position 0.006 5.643×10-6 9.368×10-4 2.326×10+129 4.629
sound + modality + position + Order + sound   modality + sound   position + modality   position + sound   Order + position   Order + sound   position   Order 0.006 4.723×10-6 7.840×10-4 1.946×10+129 4.653
modality + position + Order + modality   position + modality   Order 0.006 3.082×10-6 5.116×10-4 1.270×10+129 3.880
sound + modality + position + Order + modality   position + sound   Order + modality   Order + position   Order + modality   position   Order 0.006 2.641×10-6 4.383×10-4 1.088×10+129 6.061
sound + modality + position + Order + sound   modality + modality   position + sound   Order + modality   Order + position   Order + sound   modality   Order + modality   position   Order 0.006 1.519×10-6 2.522×10-4 6.262×10+128 4.025
sound + modality + position + Order + sound   modality + sound   position + modality   position + sound   Order + modality   Order + position   Order + sound   modality   position + sound   modality   Order 0.006 1.350×10-6 2.240×10-4 5.562×10+128 4.641
sound + modality + position + Order + sound   modality + sound   position + modality   position + sound   Order + modality   Order + position   Order + sound   position   Order 0.006 1.301×10-6 2.159×10-4 5.360×10+128 3.720
sound + modality + position + Order + sound   position + modality   position + sound   Order + position   Order + sound   position   Order 0.006 7.609×10-7 1.263×10-4 3.136×10+128 5.570
sound + modality + position + Order + sound   modality + sound   position + modality   position + sound   Order + modality   Order + sound   modality   position + sound   modality   Order 0.006 5.509×10-7 9.144×10-5 2.270×10+128 3.887
sound + modality + position + Order + sound   modality + sound   position + modality   position + sound   Order + modality   Order + position   Order + sound   modality   position + modality   position   Order 0.006 3.760×10-7 6.242×10-5 1.550×10+128 4.195
sound + modality + position + Order + sound   position + modality   position + sound   Order + modality   Order + position   Order + sound   position   Order 0.006 2.338×10-7 3.881×10-5 9.636×10+127 6.174
modality + position + Order + modality   position + modality   Order + position   Order + modality   position   Order 0.006 1.969×10-7 3.269×10-5 8.116×10+127 2.698
sound + modality + position + Order + sound   modality + sound   position + modality   position + sound   Order + modality   Order + position   Order + sound   modality   Order + sound   position   Order 0.006 1.378×10-7 2.288×10-5 5.681×10+127 4.216
sound + modality + position + Order + sound   modality + sound   position + modality   position + sound   Order + modality   Order + position   Order + sound   modality   position + sound   modality   Order + modality   position   Order 0.006 4.055×10-8 6.731×10-6 1.671×10+127 9.324
sound + modality + position + Order + sound   modality + sound   position + modality   position + sound   Order + modality   Order + position   Order + sound   position   Order + modality   position   Order 0.006 3.853×10-8 6.397×10-6 1.588×10+127 4.158
sound + modality + position + Order + sound   modality + sound   position + modality   position + sound   Order + position   Order + sound   modality   position + sound   position   Order 0.006 1.934×10-8 3.211×10-6 7.972×10+126 3.269
sound + modality + position + Order + sound   modality + sound   position + modality   position + sound   Order + modality   Order + position   Order + sound   modality   position + sound   position   Order 0.006 6.152×10-9 1.021×10-6 2.535×10+126 4.155
sound + modality + position + Order + sound   position + modality   position + sound   Order + modality   Order + position   Order + sound   position   Order + modality   position   Order 0.006 6.069×10-9 1.007×10-6 2.501×10+126 3.329
sound + modality + position + Order + sound   modality + sound   position + modality   position + sound   Order + modality   Order + position   Order + sound   modality   Order + sound   position   Order + modality   position   Order 0.006 3.865×10-9 6.417×10-7 1.593×10+126 3.605
sound + modality + position + Order + sound   modality + sound   position + modality   position + sound   Order + modality   Order + position   Order + sound   modality   position + sound   modality   Order + sound   position   Order 0.006 6.595×10-10 1.095×10-7 2.718×10+125 8.870
sound + modality + position + Order + sound   modality + sound   position + modality   position + sound   Order + modality   Order + position   Order + sound   modality   position + sound   position   Order + modality   position   Order 0.006 1.833×10-10 3.044×10-8 7.556×10+124 7.394
sound + modality + position + Order + sound   modality + sound   position + modality   position + sound   Order + modality   Order + position   Order + sound   modality   position + sound   modality   Order + sound   position   Order + modality   position   Order 0.006 2.173×10-11 3.607×10-9 8.955×10+123 12.091
sound + modality + position + Order + sound   modality + sound   position + modality   position + sound   Order + modality   Order + position   Order + sound   modality   position + sound   modality   Order + sound   position   Order + modality   position   Order + sound   modality   position   Order 0.006 8.662×10-14 1.438×10-11 3.570×10+121 4.417
sound + modality + position + Order + sound   modality + sound   position + position   Order 0.006 7.569×10-28 1.257×10-25 3.119×10+107 2.445
sound + modality + position + sound   modality + sound   position 0.006 6.779×10-28 1.125×10-25 2.794×10+107 2.437
sound + position + Order + sound   position + position   Order 0.006 3.442×10-28 5.713×10-26 1.418×10+107 3.207
sound + modality + position + Order + sound   modality + sound   position 0.006 3.257×10-28 5.406×10-26 1.342×10+107 2.657
sound + position + sound   position 0.006 2.930×10-28 4.864×10-26 1.207×10+107 1.834
sound + modality + position + Order + sound   modality + sound   position + modality   Order + position   Order 0.006 2.492×10-28 4.136×10-26 1.027×10+107 4.361
sound + modality + position + Order + sound   modality + position   Order 0.006 1.515×10-28 2.514×10-26 6.242×10+106 2.705
sound + position + Order + sound   position 0.006 1.463×10-28 2.428×10-26 6.027×10+106 3.529
sound + modality + position + sound   modality 0.006 1.371×10-28 2.276×10-26 5.652×10+106 2.109
sound + modality + position + Order + sound   position + position   Order 0.006 1.261×10-28 2.094×10-26 5.198×10+106 2.565
sound + modality + position + sound   position 0.006 1.107×10-28 1.838×10-26 4.562×10+106 1.963
sound + modality + position + Order + sound   modality + sound   position + modality   Order 0.006 9.772×10-29 1.622×10-26 4.027×10+106 2.710
sound + position + Order + position   Order 0.006 6.865×10-29 1.140×10-26 2.829×10+106 3.391
sound + modality + position + Order + sound   modality 0.006 6.578×10-29 1.092×10-26 2.711×10+106 2.498
sound + position 0.006 6.069×10-29 1.007×10-26 2.501×10+106 1.699
sound + modality + position + Order + sound   position 0.006 5.264×10-29 8.739×10-27 2.169×10+106 2.119
sound + modality + position + Order + sound   modality + modality   Order + position   Order 0.006 4.380×10-29 7.271×10-27 1.805×10+106 2.591
sound + modality + position + Order + sound   position + modality   Order + position   Order 0.006 3.709×10-29 6.158×10-27 1.529×10+106 2.410
sound + position + Order 0.006 2.969×10-29 4.928×10-27 1.223×10+106 3.018
sound + modality + position + Order + sound   modality + sound   position + sound   Order + position   Order 0.006 2.940×10-29 4.880×10-27 1.212×10+106 3.613
sound + modality + position + Order + position   Order 0.006 2.473×10-29 4.106×10-27 1.019×10+106 2.201
sound + modality + position 0.006 2.219×10-29 3.684×10-27 9.145×10+105 1.812
sound + modality + position + Order + sound   modality + modality   Order 0.006 1.971×10-29 3.271×10-27 8.121×10+105 3.119
sound + modality + position + Order + sound   position + modality   Order 0.006 1.624×10-29 2.696×10-27 6.694×10+105 3.015
sound + position + Order + sound   position + sound   Order + position   Order 0.006 1.264×10-29 2.098×10-27 5.209×10+105 2.727
sound + modality + position + Order + sound   modality + sound   position + sound   Order 0.006 1.159×10-29 1.923×10-27 4.775×10+105 2.560
sound + modality + position + Order 0.006 1.080×10-29 1.794×10-27 4.453×10+105 2.426
sound + modality + position + Order + sound   modality + sound   position + sound   Order + modality   Order + position   Order 0.006 9.453×10-30 1.569×10-27 3.896×10+105 4.807
sound + modality + position + Order + modality   Order + position   Order 0.006 7.554×10-30 1.254×10-27 3.113×10+105 2.844
sound + position + Order + sound   position + sound   Order 0.006 5.278×10-30 8.762×10-28 2.175×10+105 3.334
sound + modality + position + Order + sound   modality + sound   Order + position   Order 0.006 5.237×10-30 8.693×10-28 2.158×10+105 2.494
sound + modality + position + Order + sound   position + sound   Order + position   Order 0.006 4.454×10-30 7.394×10-28 1.836×10+105 2.307
sound + modality + position + Order + sound   modality + sound   position + sound   Order + modality   Order 0.006 3.691×10-30 6.128×10-28 1.521×10+105 3.879
sound + modality + position + Order + modality   Order 0.006 3.242×10-30 5.383×10-28 1.336×10+105 2.354
sound + position + Order + sound   Order + position   Order 0.006 2.434×10-30 4.041×10-28 1.003×10+105 2.874
sound + modality + position + Order + sound   modality + sound   Order 0.006 2.347×10-30 3.896×10-28 9.671×10+104 2.880
sound + modality + position + Order + sound   position + sound   Order 0.006 1.940×10-30 3.220×10-28 7.994×10+104 2.740
sound + modality + position + Order + sound   modality + sound   Order + modality   Order + position   Order 0.006 1.720×10-30 2.855×10-28 7.089×10+104 4.456
sound + modality + position + Order + sound   position + sound   Order + modality   Order + position   Order 0.006 1.442×10-30 2.394×10-28 5.945×10+104 3.650
sound + position + Order + sound   Order 0.006 1.057×10-30 1.754×10-28 4.355×10+104 2.976
sound + modality + position + Order + sound   modality + sound   position + sound   Order + modality   Order + position   Order + sound   modality   Order 0.006 9.515×10-31 1.579×10-28 3.921×10+104 3.772
sound + modality + position + Order + sound   Order + position   Order 0.006 8.925×10-31 1.482×10-28 3.678×10+104 2.721
sound + modality + position + Order + sound   modality + sound   Order + modality   Order 0.006 6.822×10-31 1.132×10-28 2.811×10+104 2.721
sound + modality + position + Order + sound   position + sound   Order + modality   Order 0.006 5.689×10-31 9.444×10-29 2.345×10+104 2.476
sound + modality + position + Order + sound   modality + sound   position + sound   Order + modality   Order + sound   modality   Order 0.006 4.048×10-31 6.720×10-29 1.668×10+104 5.337
sound + modality + position + Order + sound   Order 0.006 3.874×10-31 6.431×10-29 1.597×10+104 2.472
sound + modality + position + Order + sound   Order + modality   Order + position   Order 0.006 2.584×10-31 4.289×10-29 1.065×10+104 2.608
position + Order + position   Order 0.006 2.009×10-31 3.336×10-29 8.281×10+103 2.409
sound + modality + position + Order + sound   modality + sound   Order + modality   Order + position   Order + sound   modality   Order 0.006 1.909×10-31 3.168×10-29 7.866×10+103 6.865
position 0.006 1.767×10-31 2.933×10-29 7.281×10+103 1.255
sound + modality + position + Order + sound   Order + modality   Order 0.006 1.162×10-31 1.929×10-29 4.788×10+103 3.146
position + Order 0.006 8.580×10-32 1.424×10-29 3.536×10+103 1.621
sound + modality + position + Order + sound   modality + sound   Order + modality   Order + sound   modality   Order 0.006 7.802×10-32 1.295×10-29 3.215×10+103 5.112
modality + position + Order + position   Order 0.006 7.520×10-32 1.248×10-29 3.099×10+103 3.248
modality + position 0.006 6.660×10-32 1.106×10-29 2.745×10+103 1.675
modality + position + Order 0.006 3.253×10-32 5.399×10-30 1.340×10+103 2.880
modality + position + Order + modality   Order + position   Order 0.006 2.197×10-32 3.648×10-30 9.056×10+102 2.436
sound + modality + position + Order + sound   modality + sound   position + sound   Order + position   Order + sound   position   Order 0.006 1.468×10-32 2.438×10-30 6.052×10+102 5.944
modality + position + Order + modality   Order 0.006 9.596×10-33 1.593×10-30 3.954×10+102 2.101
sound + position + Order + sound   position + sound   Order + position   Order + sound   position   Order 0.006 5.648×10-33 9.376×10-31 2.328×10+102 2.586
sound + modality + position + Order + sound   modality + sound   position + sound   Order + modality   Order + position   Order + sound   position   Order 0.006 4.304×10-33 7.144×10-31 1.774×10+102 4.884
sound + modality + position + Order + sound   position + sound   Order + position   Order + sound   position   Order 0.006 2.226×10-33 3.695×10-31 9.173×10+101 3.344
sound + modality + position + Order + sound   position + sound   Order + modality   Order + position   Order + sound   position   Order 0.006 7.129×10-34 1.183×10-31 2.938×10+101 5.905
sound + modality + position + Order + sound   modality + sound   position + sound   Order + modality   Order + position   Order + sound   modality   Order + sound   position   Order 0.006 4.222×10-34 7.009×10-32 1.740×10+101 4.122
sound + modality + sound   modality 0.006 1.903×10-132 3.159×10-130 784.176 2.730
sound + modality + Order + sound   modality 0.006 9.254×10-133 1.536×10-130 381.383 3.335
sound 0.006 8.471×10-133 1.406×10-130 349.079 2.309
sound + Order 0.006 4.034×10-133 6.697×10-131 166.265 1.746
sound + modality 0.006 3.157×10-133 5.240×10-131 130.090 2.413
sound + modality + Order + sound   modality + modality   Order 0.006 2.841×10-133 4.716×10-131 117.079 4.465
sound + modality + Order 0.006 1.544×10-133 2.564×10-131 63.644 3.405
sound + modality + Order + modality   Order 0.006 4.499×10-134 7.468×10-132 18.541 2.315
sound + modality + Order + sound   modality + sound   Order 0.006 3.312×10-134 5.499×10-132 13.651 3.673
sound + Order + sound   Order 0.006 1.532×10-134 2.543×10-132 6.314 5.400
sound + modality + Order + sound   modality + sound   Order + modality   Order 0.006 1.018×10-134 1.689×10-132 4.194 3.338
sound + modality + Order + sound   Order 0.006 5.423×10-135 9.003×10-133 2.235 3.080
sound + modality + Order + sound   Order + modality   Order 0.006 1.664×10-135 2.761×10-133 0.686 4.086
Order 0.006 1.182×10-135 1.963×10-133 0.487 1.518
sound + modality + Order + sound   modality + sound   Order + modality   Order + sound   modality   Order 0.006 9.860×10-136 1.637×10-133 0.406 2.984
modality 0.006 9.293×10-136 1.543×10-133 0.383 2.216
modality + Order 0.006 4.446×10-136 7.381×10-134 0.183 1.748
modality + Order + modality   Order 0.006 1.360×10-136 2.258×10-134 0.056 3.509
Note.  All models include subject, and random slopes for all repeated measures factors.