Figure 3 - Source Data 4 Model 1 parameter fit with all trials for example mice (each data is the median value of corresponding parameter distribution, each row contains data from one animal) ¦Á1 ¦Á2 ¦Â ¦Ã1 ¦Ã2 0.0733360130680006 -0.255596169815285 0.111478073494704 3.74729321765074 0.264589937900011 -0.0651782775187152 -0.0949161929522942 0.130917289417432 3.39440697478537 0.326947537226228 0.0401794684579841 -0.100699760150193 0.135138476596612 3.12660672068519 0.250316316210206 -0.0449201436548024 -0.0172595999231811 0.131280553504029 3.49366658637738 0.292407262944582 0.0700735344135953 -0.0766442518449809 0.192734926517194 4.24210673112835 0.431561049342169 0.0328306103420378 0.119835288722938 0.135005469629638 3.82992978603061 0.22033840137497 0.0142879683031073 -0.348104535213615 0.18534415879883 4.4768969662556 0.477739040860631 0.211247216360625 -0.170092933177921 0.0928718540859064 3.85550441059961 0.118626284410923 -0.0285013050327055 -0.0848796907794952 0.108036518799769 4.24360807485042 0.305582976898707 0.130728956737908 0.0143774805125264 0.11463698178445 3.90321248313698 0.114269765424831 ¦Á1 ¦Á2 ¦Â ¦Ã1 ¦Ã2 Number of values 10 10 10 10 10 Minimum -0.06518 -0.3481 0.09287 3.127 0.1143 25% Percentile -0.03261 -0.1915 0.1106 3.469 0.1949 Median 0.03651 -0.0899 0.1311 3.843 0.2785 75% Percentile 0.08768 -0.00935 0.1477 4.242 0.3531 Maximum 0.2112 0.1198 0.1927 4.477 0.4777 Mean 0.04341 -0.1014 0.1337 3.831 0.2802 Std. Deviation 0.08376 0.1332 0.03224 0.4176 0.117 Std. Error of Mean 0.02649 0.04213 0.01019 0.1321 0.03701 Lower 95% CI of mean -0.01651 -0.1967 0.1107 3.533 0.1965 Upper 95% CI of mean 0.1033 -0.006102 0.1568 4.13 0.364 Sum 0.4341 -1.014 1.337 38.31 2.802 Wilcoxon Signed Rank Test Theoretical median 0 0 0 0 0 Actual median 0.03651 -0.0899 0.1311 3.843 0.2785 Discrepancy 0.03651 -0.0899 0.1311 3.843 0.2785 Sum of signed ranks (W) 29 -39 55 55 55 Sum of positive ranks 42 8 55 55 55 Sum of negative ranks -13 -47 0 0 0 P value (two tailed) 0.1602 0.0488 0.0020 0.0020 0.0020 Exact or estimate? Exact Exact Exact Exact Exact Significant (alpha=0.05)? No Yes Yes Yes Yes ________________________________________________________________________________________________________________________________________________________ Model 4 parameter fit with all trials for example mice (each data is the median value of corresponding parameter distribution, each row contains data from one animal) ¦Â ¦Ã1 ¦Ã2 0.0975991723186569 3.7590210551925 0.197512185866511 0.117594298378947 3.45760615185445 0.237303377265301 0.117685691994952 3.14499684162471 0.21804130897255 0.13205994911327 3.522423709008 0.263882969434295 0.197644312185846 4.21675692583514 0.465493405339109 0.134771600775742 3.78164501801267 0.2729447489773 0.151294408091019 4.51416165246823 0.330513083811584 0.0887007859382331 3.69551386144262 0.162839100212954 0.0974529877966514 4.27479899172759 0.245103633257019 0.11649350289518 3.83109614356619 0.193152335213459 __________ Statistics ¦Â ¦Ã1 ¦Ã2 Number of values 10 10 10 Minimum 0.0887 3.145 0.1628 25% Percentile 0.09756 3.506 0.1964 Median 0.1176 3.77 0.2412 75% Percentile 0.1389 4.231 0.2873 Maximum 0.1976 4.514 0.4655 Mean 0.1251 3.82 0.2587 Std. Deviation 0.03184 0.414 0.08672 Std. Error of Mean 0.01007 0.1309 0.02742 Lower 95% CI of mean 0.1024 3.524 0.1966 Upper 95% CI of mean 0.1479 4.116 0.3207 Sum 1.251 38.2 2.587 Wilcoxon Signed Rank Test Theoretical median 0 0 0 Actual median 0.1176 3.77 0.2412 Discrepancy 0.1176 3.77 0.2412 Sum of signed ranks (W) 55 55 55 Sum of positive ranks 55 55 55 Sum of negative ranks 0 0 0 P value (two tailed) 0.0020 0.0020 0.0020 Exact or estimate? Exact Exact Exact Significant (alpha=0.05)? Yes Yes Yes ________________________________________________________________________________________________________________________________________________________ RL Model parameter fit with all trials for example mice (each data is the median value of corresponding parameter distribution, each row contains data from one animal) ¦Ã ¦Á 1.36544403867638 0.0225936790930545 1.39558705387279 0.0300157055045307 1.37170236502268 0.0345515840605199 1.3848098280526 0.0288069505884165 1.37695711792203 0.0164813714555863 1.39062724186189 0.0206905236909293 1.50837405177879 0.0191979791014242 1.30093484599335 0.0133910458647579 1.55243559865371 0.0270234638157222 1.438550272869 0.0160870346161064 __________ Statistics ¦Ã ¦Á Number of values 10 10 Minimum 1.301 0.01339 25% Percentile 1.37 0.01638 Median 1.388 0.02164 75% Percentile 1.456 0.02911 Maximum 1.552 0.03455 Mean 1.409 0.02288 Std. Deviation 0.07335 0.006952 Std. Error of Mean 0.02319 0.002198 Lower 95% CI of mean 1.356 0.01791 Upper 95% CI of mean 1.461 0.02786 Sum 14.09 0.2288 Wilcoxon Signed Rank Test Theoretical median 0 0 Actual median 1.388 0.02164 Discrepancy 1.388 0.02164 Sum of signed ranks (W) 55 55 Sum of positive ranks 55 55 Sum of negative ranks 0 0 P value (two tailed) 0.0020 0.0020 Exact or estimate? Exact Exact Significant (alpha=0.05)? Yes Yes ________________________________________________________________________________________________________________________________________________________ Cross-validated model likelihood fit with all trials for example mice (each data is the median value of corresponding likelihood distribution, each row contains data from one animal) Model 1 (full model) Model 2 (¦Á1 = 0) Model 3 (¦Á2 = 0) Model 4 (¦Á1 = 0, ¦Á2 = 0) Model 5 (¦Â = 0) Model 6 (¦Ã1 = 1) Model 7 (¦Ã2 = 0) RL Model No Prior 0.674178909625306 0.665189242472903 0.656716128951464 0.670661645727606 0.522646007868106 0.390985017589471 0.629485955824836 0.655805692245879 0.648793560047834 0.654597979191564 0.657897941326545 0.659280057355346 0.394526369289402 0.407585341379085 0.600677008564442 0.649342603724836 0.643671662783001 0.643860170243874 0.641686259838555 0.642855606811392 0.336108046621419 0.445944712135657 0.588317134765784 0.630014612491561 0.661442264234863 0.662828171902481 0.66402682132858 0.662885897503783 0.42380409292525 0.415655490101675 0.594525302876107 0.652764066491464 0.696818865928254 0.697221669439805 0.692923932752822 0.696488350588066 0.237079680541553 0.459223819366279 0.600651214558244 0.677508698759445 0.668836220649451 0.671694560737063 0.673958884307395 0.674009939661744 0.326754907632832 0.457599536267308 0.593535876139486 0.662891663671031 0.69367603042984 0.697245113576565 0.703334887668859 0.706825915550957 0.417726128197894 0.414353709154195 0.655954306677664 0.689839948562027 0.673680411341506 0.667190517043622 0.618709271634938 0.671826224089877 0.333061884454205 0.447749573977725 0.637490163455867 0.650580104953836 0.694608097663927 0.69593205886737 0.696540989886194 0.697973711288079 0.446962384279059 0.397871737360873 0.605905616085789 0.680694763430577 0.670198330284856 0.672612838523592 0.671183490785835 0.67241436115315 0.328637473554592 0.455160675181737 0.639157639115997 0.667189779535821 ___________________________________ Test results for Model 2 vs Model 1 Column B Model 2 (¦Á1 = 0) vs. vs. Column A Model 1 (full model) Wilcoxon matched-pairs signed rank test P value 0.4316 Exact or approximate P value? Exact P value summary ns Significantly different (P < 0.05)? No One- or two-tailed P value? Two-tailed Sum of positive, negative ranks 36 , -19 Sum of signed ranks (W) 17 Number of pairs 10 Median of differences Median 0.001355 How effective was the pairing? rs (Spearman) 0.8545 P value (one tailed) 0.0014 P value summary ** Was the pairing significantly effective? Yes ___________________________________ Test results for Model 3 vs Model 1 Column C Model 3 (¦Á2 = 0) vs. vs. Column A Model 1 (full model) Wilcoxon matched-pairs signed rank test P value >0.9999 Exact or approximate P value? Exact P value summary ns Significantly different (P < 0.05)? No One- or two-tailed P value? Two-tailed Sum of positive, negative ranks 28 , -27 Sum of signed ranks (W) 1 Number of pairs 10 Median of differences Median 0.001459 How effective was the pairing? rs (Spearman) 0.5879 P value (one tailed) 0.0403 P value summary * Was the pairing significantly effective? Yes ___________________________________ Test results for Model 4 vs Model 1 Column D Model 4 (¦Á1 = 0, ¦Á2 = 0) vs. vs. Column A Model 1 (full model) Wilcoxon matched-pairs signed rank test P value 0.1934 Exact or approximate P value? Exact P value summary ns Significantly different (P < 0.05)? No One- or two-tailed P value? Two-tailed Sum of positive, negative ranks 41 , -14 Sum of signed ranks (W) 27 Number of pairs 10 Median of differences Median 0.00183 How effective was the pairing? rs (Spearman) 0.8303 P value (one tailed) 0.0024 P value summary ** Was the pairing significantly effective? Yes ___________________________________ Test results for Model 5 vs Model 1 Column E Model 5 (¦Â = 0) vs. vs. Column A Model 1 (full model) Wilcoxon matched-pairs signed rank test P value 0.0020 Exact or approximate P value? Exact P value summary ** Significantly different (P < 0.05)? Yes One- or two-tailed P value? Two-tailed Sum of positive, negative ranks 0 , -55 Sum of signed ranks (W) -55 Number of pairs 10 Median of differences Median -0.2918 How effective was the pairing? rs (Spearman) 0.0303 P value (one tailed) 0.4730 P value summary ns Was the pairing significantly effective? No ___________________________________ Test results for Model 6 vs Model 1 Column F Model 6 (¦Ã1 = 1) vs. vs. Column A Model 1 (full model) Wilcoxon matched-pairs signed rank test P value 0.0020 Exact or approximate P value? Exact P value summary ** Significantly different (P < 0.05)? Yes One- or two-tailed P value? Two-tailed Sum of positive, negative ranks 0 , -55 Sum of signed ranks (W) -55 Number of pairs 10 Median of differences Median -0.2394 How effective was the pairing? rs (Spearman) -0.006061 P value (one tailed) 0.5000 P value summary ns Was the pairing significantly effective? No ___________________________________ Test results for Model 7 vs Model 1 Column G Model 7 (¦Ã2 = 0) vs. vs. Column A Model 1 (full model) Wilcoxon matched-pairs signed rank test P value 0.0020 Exact or approximate P value? Exact P value summary ** Significantly different (P < 0.05)? Yes One- or two-tailed P value? Two-tailed Sum of positive, negative ranks 0 , -55 Sum of signed ranks (W) -55 Number of pairs 10 Median of differences Median -0.05174 How effective was the pairing? rs (Spearman) 0.503 P value (one tailed) 0.0720 P value summary ns Was the pairing significantly effective? No ___________________________________ Test results for RL Model vs Model 1 Column H RL Model No Prior vs. vs. Column A Model 1 (full model) Wilcoxon matched-pairs signed rank test P value 0.0039 Exact or approximate P value? Exact P value summary ** Significantly different (P < 0.05)? Yes One- or two-tailed P value? Two-tailed Sum of positive, negative ranks 1 , -54 Sum of signed ranks (W) -53 Number of pairs 10 Median of differences Median -0.01117 How effective was the pairing? rs (Spearman) 0.8182 P value (one tailed) 0.0029 P value summary ** Was the pairing significantly effective? Yes ___________________________________ Test results for RL Model vs Model 4 Column H RL Model No Prior vs. vs. Column D Model 4 (¦Á1 = 0, ¦Á2 = 0) Wilcoxon matched-pairs signed rank test P value 0.0020 Exact or approximate P value? Exact P value summary ** Significantly different (P < 0.05)? Yes One- or two-tailed P value? Two-tailed Sum of positive, negative ranks 0 , -55 Sum of signed ranks (W) -55 Number of pairs 10 Median of differences Median -0.01385 How effective was the pairing? rs (Spearman) 0.9515 P value (one tailed) <0.0001 P value summary **** Was the pairing significantly effective? Yes