# The Effect of Isomorphic Pitch Layouts on the Transfer of Musical Learning +
## 5 Conclusions
\begin{table}
\begin{tabular}{l c c c c c c c} \hline \hline Family: & beta & & & & & & \\ Links: & mu = logit; & phi = identity & & & & \\ Formula: & Accuracy - IsMusician * (IsNonIsomorphic * * [IsBosanquet + LayoutNo * PerfNo) & & & & \\  & + (IsNonIsomorphic + LayoutNo * * PerfNo 1 ] & & & & \\ Data: & PitchLayoutSDataTask4 (Number of observations: 472) & & & & & \\ Samples: & 4 chains, each with iter = 4000; warmup = 2000; thin = 1; & & & & \\  & total post-warmup samples = 8000 & & & & & \\ \hline \hline \multicolumn{10}{l}{**Group-Level Effects:**} \\ ID (Number of levels: 67) & **Estimate** & **Est.Error** & **1-95\% CI** & **u-95\% CI** & **Eff.Sample** & **Rhat** \\ \hline sd(Intercept) & 0.87 & 0.10 & 0.69 & 1.07 & 3694 & 1.00 \\ sd(IsNonsomorphic) & 0.20 & 0.12 & 0.01 & 0.43 & 635 & 1.01 \\ sd(IsIntrained) & 0.47 & 0.08 & 0.33 & 0.63 & 2538 & 1.00 \\ sd(LayoutNo) & 0.15 & 0.09 & 0.01 & 0.34 & 866 & 1.00 \\ sd(PerNo) & 0.06 & 0.04 & 0.00 & 0.15 & 1290 & 1.00 \\ sd(NonsNonIsomorphicIsUntrained) & 0.47 & 0.14 & 0.17 & 0.74 & 908 & 1.00 \\ sd(LayoutNoPerNo) & 0.13 & 0.05 & 0.02 & 0.22 & 1126 & 1.00 \\ cor(Intercept,IsNonIsomorphic) & 0.00 & 0.27 & \(-\)0.51 & 0.56 & 7607 & 1.00 \\ cor(Intercept,IsUntrained) & \(-\)0.27 & 0.16 & \(-\)0.56 & 0.05 & 5732 & 1.00 \\ cor(IsNonIsomorphic,IsUntrained) & 0.08 & 0.29 & \(-\)0.53 & 0.59 & 1183 & 1.00 \\ cor(Intercept,LayoutNo) & \(-\)0.25 & 0.31 & \(-\)0.75 & 0.45 & 3873 & 1.00 \\ cor(IsNonIsomorphic,LayoutNo) & 0.06 & 0.34 & \(-\)0.61 & 0.69 & 3639 & 1.00 \\ cor(IsUntrained,LayoutNo) & 0.17 & 0.31 & \(-\)0.48 & 0.72 & 6179 & 1.00 \\ cor(Intercept,PerNo) & 0.15 & 0.31 & \(-\)0.50 & 0.70 & 8226 & 1.00 \\ cor(IsNonIsomorphic,PerFNo) & 0.13 & 0.34 & \(-\)0.58 & 0.73 & 3640 & 1.00 \\ cor(IsUntrained,PerFNo) & \(-\)0.04 & 0.32 & \(-\)0.63 & 0.60 & 6247 & 1.00 \\ cor(LayoutNo,PerFNo) & 0.19 & 0.36 & \(-\)0.55 & 0.79 & 1933 & 1.00 \\ cor(Intercept,IsNonIsomorphicIsUntrained) & 0.03 & 0.20 & \(-\)0.37 & 0.40 & 4819 & 1.00 \\ cor(IsNonIsomorphic,IsNonIsomorphic:IsUntrained) & \(-\)0.42 & 0.33 & \(-\)0.87 & 0.40 & 834 & 1.00 \\ cor(IsUntrained,IsNonIsomorphic:IsUntrained) & \(-\)0.47 & 0.20 & \(-\)0.78 & 0.01 & 2176 & 1.00 \\ cor(LayoutNo,IsNonIsomorphic:IsUntrained) & \(-\)0.13 & 0.32 & \(-\)0.71 & 0.53 & 2279 & 1.00 \\ cor(PerfNo,IsNonIsomorphic:IsUntrained) & \(-\)0.12 & 0.32 & \(-\)0.70 & 0.53 & 2183 & 1.00 \\ cor(Intercept,LayoutNo:PerFNo) & \(-\)0.23 & 0.24 & \(-\)0.66 & 0.27 & 5751 & 1.00 \\ cor(IsNonIsomorphic,LayoutNo:PerFNo) & \(-\)0.10 & 0.31 & \(-\)0.67 & 0.52 & 1690 & 1.00 \\ cor(IsUntrained,LayoutNo:PerFNo) & \(-\)0.00 & 0.26 & \(-\)0.52 & 0.50 & 4117 & 1.00 \\ cor(LayoutNo,LayoutNo:PerFNo) & 0.07 & 0.33 & \(-\)0.58 & 0.69 & 1602 & 1.00 \\ cor(PerfNo,LayoutNo:PerFNo) & \(-\)0.06 & 0.34 & \(-\)0.67 & 0.61 & 2378 & 1.00 \\ cor(IsNonIsomorphic:IsUntrained,LayoutNo:PerFNo) & 0.10 & 0.27 & \(-\)0.43 & 0.61 & 3710 & 1.00 \\ \hline \hline \multicolumn{10}{l}{**Population-Level Effects:**} & **Estimate** & **Est.Error** & **1-95\% CI** & **u-95\% CI** & **Eff.Sample** & **Rhat** & **Eff.Fact** \\ \hline Intercept & \(-\)1.79 & 0.20 & \(-\)2.19 & \(-\)1.38 & 1703 & 1.00 & 0.17 \\ IsMusician & 2.12 & 0.32 & 1.48 & 2.75 & 2006 & 1.00 & 8.33 \\ IsNonIsomorphic & \(-\)0.16 & 0.12 & \(-\)0.40 & 0.07 & 3349 & 1.00 & 0.85 \\ IsBosanquet & \(-\)0.13 & 0.29 & \(-\)0.71 & 0.45 & 2037 & 1.00 & 0.88 \\ IsUntrained & \(-\)0.35 & 0.14 & \(-\)0.63 & \(-\)0.07 & 3204 & 1.00 & 0.70 \\ LayoutNo & 0.55 & 0.11 & 0.33 & 0.77 & 4136 & 1.00 & 1.73 \\ PerfNo & 0.17 & 0.05 & 0.08 & 0.26 & 4276 & 1.00 & 1.19 \\ IsNonIsomorphic:IsBosanquet & 0.11 & 0.19 & \(-\)0.25 & 0.48 & 3347 & 1.00 & 1.12 \\ IsNonIsomorphic:IsUntrained & 0.24 & 0.18 & \(-\)0.10 & 0.59 & 3176 & 1.00 & 1.27 \\ IsBosanquet:IsUntrained & 0.15 & 0.23 & \(-\)0.30 & 0.60 & 2980 & 1.00 & 1.16 \\ LayoutNo:PerFNo & \(-\)0.11 & 0.06 & \(-\)0.23 & 0.00 & 3994 & 1.00 & 0.90 \\ IsMusician:IsNonIsomorphic & 0.07 & 0.17 & \(-\)0.27 & 0.40 & 3187 & 1.00 & 1.07 \\ IsMusician:IsBosanquet & \(-\)0.24 & 0.44 & \(-\)1.10 & 0.65 & 2145 & 1.00 & 0.79 \\ IsMusician:IsUntrained & 0.51 & 0.22 & 0.09 & 0.96 & 3361 & 1.00 & 1.67 \\ IsMusician:LayoutNo & \(-\)0.23 & 0.16 & \(-\)0.53 & 0.08 & 4164 & 1.00 & 0.79 \\ IsMusician:PerFNo & \(-\)0.07 & 0.07 & \(-\)0.20 & 0.07 & 4143 & 1.00 & 0.93 \\ IsNonIsomorphic:IsBosanquet:IsUntrained & 0.13 & 0.28 & \(-\)0.42 & 0.69 & 3051 & 1.00 & 1.14 \\ IsMusician:IsNonIsomorphic:IsBosanquet & \(-\)0.27 & 0.26 & \(-\)0.78 & 0.26 & 3335 & 1.00 & 0.76 \\ IsMusician:IsNonIsomorphic:IsUntrained & \(-\)0.60 & 0.27 & \(-\)1.13 & \(-\)0.08 & 3400 & 1.00 & 0.55 \\ IsMusician:IsBosanquet:IsUntrained & \(-\)0.20 & 0.33 & \(-\)0.84 & 0.44 & 3277 & 1.00 & 0.82 \\ IsMusician:LayoutNo:PerFNo & 0.10 & 0.09 & \(-\)0.07 & 0.27 & 4239 & 1.00 & 1.11 \\ IsMusician:IsNonIsomorphic:IsUntrained & 0.14 & 0.40 & \(-\)0.64 & 0.94 & 3010