CohMetrix Model 1f Variable Importance - shmercer/writeAlizer GitHub Wiki
Relative Importance of Each Metric
Coh-Metrix Model 1f
This model used Coh-Metrix scores from 7 min narrative writing samples ("I once had a magic pencil and ...") from 124 students in the spring of Grades 2-5 (Mercer et al., 2019) to predict holistic writing quality on the samples (elo ratings calculated from paired comparisons).
Principal component scores were generated during data pre-processing (see section on Scoring Model Development for more details).
Mercer, S. H., Keller-Margulis, M. A., Faith, E. L., Reid, E. K., & Ochs, S. (2019). The potential for automated text evaluation to improve the technical adequacy of written expression curriculum-based measurement. Learning Disability Quarterly, 42, 117-128. https://doi.org/10.1177/0731948718803296
Algorithm Weightings in Ensemble
Abbreviations:
- all = ensemble model
- gbm = stochastic gradient boosted trees
- pls = partial least squares regression
- svm = support vector machines
- enet = elastic net regression
- rf = random forest regression
- mars = bagged multivariate adaptive regression splines
- cube = cubist regression
The table below presents the linear weightings of each algorithm for the ensemble model.
Intercept | gbm | pls | svm | enet | rf | mars | cube |
---|---|---|---|---|---|---|---|
-16.5845 | 0.1071 | 0.5091 | 0.6984 | -0.2708 | -0.0323 | 0.036 | -0.0221 |
Metric Importance in Each Algorithm and Ensemble
Each column sums to 100 (so values can be interpreted as % contribution to the model).
PC1 = scores on 1st principal component extracted, ...
Note: Importance is unavailable for support vector machines when PCA-based pre-processing is used (so all values for svm are 0).
Metric | all | gbm | pls | svm | enet | rf | mars | cube |
---|---|---|---|---|---|---|---|---|
PC7 | 14.02 | 14.78 | 14.62 | 0 | 12.36 | 11.93 | 19.81 | 10 |
PC1 | 13.63 | 30.49 | 12.95 | 0 | 6.54 | 26.18 | 26.11 | 20 |
PC8 | 12.82 | 12.75 | 13.42 | 0 | 11.91 | 8.44 | 15.73 | 10 |
PC6 | 10.25 | 12.69 | 10.89 | 0 | 7.93 | 8.88 | 10.09 | 16.6 |
PC3 | 5.8 | 2.48 | 8 | 0 | 3.23 | 3.41 | 0.8 | 10 |
PC9 | 4.73 | 3.43 | 5.34 | 0 | 4.67 | 2.71 | 0 | 6.6 |
PC4 | 4.32 | 2.1 | 5.78 | 0 | 2.94 | 0.55 | 0.09 | 6.6 |
PC16 | 3.92 | 1.27 | 3.57 | 0 | 6.22 | 0.83 | 0 | 3.4 |
PC20 | 3.79 | 3.76 | 2.76 | 0 | 6.1 | 2.84 | 0 | 6.6 |
PC24 | 3.35 | 2.04 | 2.26 | 0 | 6.11 | 5.13 | 0 | 3.4 |
PC21 | 2.5 | 0 | 1.85 | 0 | 3.81 | 0.86 | 7.63 | 3.4 |
PC32 | 2.2 | 0.74 | 1.2 | 0 | 5.05 | 1.77 | 0 | 0 |
PC18 | 2.06 | 0.28 | 1.83 | 0 | 3.34 | 0.48 | 0 | 3.4 |
PC15 | 2.06 | 0.86 | 2.12 | 0 | 2.84 | 1.45 | 0 | 0 |
PC14 | 1.87 | 0.22 | 2.13 | 0 | 2.42 | 0.49 | 0 | 0 |
PC19 | 1.76 | 0.83 | 1.58 | 0 | 2.82 | 1.1 | 0 | 0 |
PC10 | 1.73 | 0.88 | 2.1 | 0 | 1.55 | 3.01 | 0 | 0 |
PC31 | 1.69 | 0.48 | 1.03 | 0 | 3.81 | 0.38 | 0 | 0 |
PC12 | 1.2 | 0.41 | 1.48 | 0 | 1.15 | 1.21 | 0 | 0 |
PC30 | 1.06 | 0.58 | 0.76 | 0 | 1.97 | 1.51 | 0 | 0 |
PC22 | 1.02 | 0.47 | 0.99 | 0 | 1.56 | 0.27 | 0 | 0 |
PC17 | 0.83 | 1.24 | 0.22 | 0 | 0 | 3.14 | 13.07 | 0 |
PC26 | 0.72 | 0.25 | 0.7 | 0 | 1.14 | 0.26 | 0 | 0 |
PC5 | 0.58 | 1.09 | 0.47 | 0 | 0 | 2.15 | 4.42 | 0 |
PC25 | 0.49 | 0.83 | 0.54 | 0 | 0.47 | 0.05 | 0 | 0 |
PC13 | 0.46 | 0.3 | 0.67 | 0 | 0.07 | 2.34 | 0 | 0 |
PC2 | 0.35 | 0.99 | 0.31 | 0 | 0 | 0 | 2.25 | 0 |
PC11 | 0.23 | 1.78 | 0 | 0 | 0 | 3.42 | 0 | 0 |
PC28 | 0.21 | 0.07 | 0.31 | 0 | 0 | 1.49 | 0 | 0 |
PC29 | 0.11 | 0.55 | 0.08 | 0 | 0 | 0.75 | 0 | 0 |
PC23 | 0.09 | 0.33 | 0.01 | 0 | 0 | 2.16 | 0 | 0 |
PC33 | 0.07 | 0.57 | 0.03 | 0 | 0 | 0.32 | 0 | 0 |
PC27 | 0.05 | 0.43 | 0 | 0 | 0 | 0.5 | 0 | 0 |
Proportion of Variance by Varimax Rotated Component (RC)
Due to space limitations, loadings for only the first ten principal components are displayed. The full PCA results are available here
Variable | RC1 | RC2 | RC4 | RC10 | RC5 | RC3 | RC8 | RC6 | RC7 | RC9 |
---|---|---|---|---|---|---|---|---|---|---|
SS loadings | 18.09 | 16.04 | 6.14 | 4.86 | 4.81 | 4.44 | 4.37 | 4.20 | 3.86 | 2.98 |
Proportion Var | 0.19 | 0.17 | 0.06 | 0.05 | 0.05 | 0.05 | 0.05 | 0.04 | 0.04 | 0.03 |
Cumulative Var | 0.19 | 0.35 | 0.42 | 0.47 | 0.51 | 0.56 | 0.61 | 0.65 | 0.69 | 0.72 |
Proportion Explained | 0.26 | 0.23 | 0.09 | 0.07 | 0.07 | 0.06 | 0.06 | 0.06 | 0.06 | 0.04 |
Cumulative Proportion | 0.26 | 0.49 | 0.58 | 0.65 | 0.72 | 0.78 | 0.84 | 0.90 | 0.96 | 1.00 |
Varimax Rotated Loadings
Detailed information on Coh-Metrix abbreviations and indices is available here.
Metric | RC1 | RC2 | RC4 | RC10 | RC5 | RC3 | RC8 | RC6 | RC7 | RC9 |
---|---|---|---|---|---|---|---|---|---|---|
DESSC | 0.85 | 0.02 | -0.07 | 0.2 | 0.07 | 0.05 | 0.04 | -0.04 | 0.13 | 0.11 |
DESWC | 0.17 | 0.32 | 0.15 | 0.44 | -0.02 | 0.18 | 0.04 | -0.17 | 0.38 | 0.43 |
DESPL | 0.85 | 0.02 | -0.07 | 0.2 | 0.07 | 0.05 | 0.04 | -0.04 | 0.13 | 0.11 |
DESSL | -0.75 | -0.24 | 0.1 | 0.12 | -0.09 | 0.12 | -0.11 | -0.15 | 0.25 | 0.25 |
DESSLd | 0.02 | 0.66 | 0.16 | 0.1 | -0.03 | 0.1 | 0.07 | 0.06 | -0.06 | 0.2 |
DESWLsy | 0.09 | -0.08 | 0 | -0.05 | -0.14 | -0.16 | 0.86 | 0.02 | 0.06 | -0.13 |
DESWLsyd | 0.03 | -0.07 | 0 | -0.04 | -0.07 | 0.06 | 0.82 | -0.1 | -0.04 | -0.09 |
DESWLlt | 0.14 | -0.17 | -0.05 | -0.01 | -0.12 | -0.32 | 0.72 | 0.1 | 0.17 | -0.07 |
DESWLltd | 0.12 | 0.06 | 0.09 | -0.05 | 0.15 | -0.05 | 0.74 | 0.06 | -0.13 | 0.18 |
PCNARz | 0.35 | 0.7 | 0.16 | 0.21 | 0.45 | 0.21 | -0.14 | 0.03 | -0.03 | 0.17 |
PCNARp | 0.47 | 0.57 | 0.1 | 0.27 | 0.41 | 0.2 | -0.13 | -0.02 | -0.02 | 0.16 |
PCSYNz | 0.89 | -0.07 | -0.03 | -0.17 | 0.08 | -0.17 | 0.09 | 0.06 | -0.07 | -0.23 |
PCSYNp | 0.88 | -0.13 | 0.05 | -0.15 | 0.01 | -0.14 | 0.02 | 0.04 | 0.08 | -0.11 |
PCCNCz | -0.64 | -0.38 | -0.18 | -0.4 | -0.06 | -0.31 | -0.04 | -0.22 | 0.07 | 0.23 |
PCCNCp | -0.48 | -0.13 | -0.1 | -0.45 | -0.04 | -0.36 | 0.03 | -0.14 | 0.05 | 0.22 |
PCREFz | -0.4 | 0.72 | 0.01 | -0.14 | 0.29 | 0.09 | -0.24 | -0.13 | 0.1 | -0.1 |
PCREFp | -0.49 | 0.4 | -0.04 | -0.04 | 0.4 | 0.15 | -0.24 | -0.1 | 0.05 | -0.05 |
PCDCz | 0.17 | 0.3 | 0.9 | 0.06 | 0.06 | 0.07 | 0 | 0.06 | 0.13 | 0.02 |
PCDCp | 0.18 | 0.32 | 0.79 | 0.15 | 0.09 | 0.08 | 0.05 | 0.04 | 0.09 | 0.07 |
PCVERBz | -0.62 | -0.62 | -0.01 | -0.1 | -0.18 | 0.3 | -0.09 | -0.05 | 0.2 | -0.09 |
PCVERBp | -0.41 | -0.49 | 0.06 | -0.17 | -0.22 | 0.43 | -0.1 | -0.03 | 0.16 | -0.11 |
PCCONNz | 0.24 | 0.02 | 0.09 | -0.06 | -0.06 | 0.08 | -0.01 | 0.9 | 0.11 | 0.03 |
PCCONNp | 0.13 | -0.07 | 0.03 | -0.24 | 0.12 | -0.05 | -0.12 | 0.75 | 0.11 | -0.14 |
PCTEMPz | 0.72 | 0.62 | 0.09 | 0.09 | 0.01 | 0.01 | 0.13 | 0.05 | 0.05 | 0.12 |
PCTEMPp | 0.47 | 0.54 | 0.14 | 0.17 | -0.11 | 0.02 | 0.17 | 0.07 | 0 | 0.17 |
CRFNO1 | 0.07 | 0.7 | 0.15 | 0.07 | -0.37 | -0.13 | -0.22 | -0.03 | 0.11 | -0.07 |
CRFAO1 | 0.36 | 0.85 | 0.06 | 0.07 | 0.17 | 0.02 | 0.11 | 0 | 0.06 | 0.06 |
CRFSO1 | 0.09 | 0.77 | 0.1 | -0.01 | -0.32 | -0.16 | -0.22 | -0.07 | 0.06 | -0.11 |
CRFNOa | -0.03 | 0.77 | 0.08 | 0.01 | -0.32 | -0.08 | -0.21 | -0.05 | 0.08 | -0.1 |
CRFAOa | 0.3 | 0.86 | 0.07 | 0.08 | 0.25 | 0.07 | 0.12 | 0.02 | 0.05 | 0.06 |
CRFSOa | -0.01 | 0.81 | 0.07 | -0.04 | -0.28 | -0.12 | -0.2 | -0.09 | 0.05 | -0.1 |
CRFCWO1 | 0.27 | 0.89 | 0.08 | -0.08 | 0.17 | 0.05 | -0.01 | -0.04 | 0.08 | -0.03 |
CRFCWO1d | 0.81 | 0.27 | -0.05 | 0.07 | -0.03 | 0.02 | 0.02 | -0.04 | 0.03 | 0.06 |
CRFCWOa | 0.18 | 0.9 | 0.08 | -0.07 | 0.19 | 0.07 | 0 | -0.04 | 0.07 | -0.04 |
CRFCWOad | 0.83 | 0.33 | -0.02 | 0.12 | -0.01 | 0.02 | 0.02 | 0.02 | 0.03 | 0.1 |
CRFANP1 | 0.38 | 0.8 | 0.09 | 0.08 | 0.29 | 0.05 | 0.12 | 0.03 | 0.03 | 0.08 |
CRFANPa | 0.18 | 0.84 | 0.11 | 0.04 | 0.29 | 0.11 | 0.15 | 0.05 | 0.02 | 0.04 |
LSASS1 | 0.29 | 0.81 | 0.07 | -0.08 | 0.11 | -0.13 | -0.14 | -0.03 | 0.03 | 0.01 |
LSASS1d | 0.67 | 0.34 | 0.01 | 0.13 | -0.09 | -0.13 | -0.16 | 0.02 | 0.03 | 0.1 |
LSASSp | 0.19 | 0.85 | 0.06 | -0.1 | 0.11 | -0.07 | -0.09 | -0.03 | 0.03 | -0.02 |
LSASSpd | 0.76 | 0.38 | -0.02 | 0.09 | -0.12 | -0.1 | -0.1 | 0.06 | 0.05 | 0.09 |
LSAGN | 0.73 | 0.58 | -0.01 | 0.13 | 0.09 | -0.05 | -0.01 | -0.04 | 0.12 | 0.04 |
LSAGNd | 0.59 | 0.72 | 0.03 | 0.02 | -0.05 | -0.08 | -0.07 | 0 | 0.04 | 0.02 |
LDTTRc | -0.11 | -0.48 | 0.03 | -0.19 | 0.15 | -0.09 | 0.22 | 0.27 | -0.56 | 0.16 |
LDTTRa | -0.03 | -0.46 | 0.01 | -0.15 | -0.02 | -0.31 | 0.18 | 0.5 | -0.42 | -0.11 |
LDMTLD | 0.19 | -0.13 | 0.15 | 0.25 | -0.03 | -0.16 | 0.28 | 0.37 | -0.19 | 0.32 |
CNCAll | -0.3 | 0.07 | 0.62 | -0.12 | 0.17 | -0.01 | -0.06 | -0.62 | -0.02 | -0.09 |
CNCCaus | 0.04 | 0.02 | 0.86 | -0.19 | 0 | 0.12 | 0.13 | 0.03 | -0.01 | -0.08 |
CNCLogic | -0.09 | 0.11 | 0.78 | 0.31 | 0.08 | 0.06 | -0.09 | -0.01 | -0.05 | -0.13 |
CNCADC | 0.05 | -0.11 | -0.1 | 0.71 | -0.04 | 0.06 | 0.12 | -0.24 | -0.16 | 0.05 |
CNCTemp | 0.05 | 0.24 | 0.35 | 0.16 | 0.09 | -0.15 | -0.26 | 0.14 | 0.14 | 0.03 |
CNCTempx | -0.02 | 0.11 | 0.14 | 0.09 | -0.16 | 0.33 | 0.08 | -0.01 | -0.19 | 0.25 |
CNCAdd | -0.36 | -0.05 | 0 | -0.12 | 0.11 | -0.07 | -0.09 | -0.84 | -0.11 | -0.05 |
CNCPos | -0.27 | 0.11 | 0.61 | -0.31 | 0.19 | -0.05 | -0.1 | -0.53 | 0.03 | -0.1 |
CNCNeg | 0 | -0.14 | -0.08 | 0.63 | -0.06 | 0.08 | 0.07 | -0.22 | -0.17 | 0.02 |
SMCAUSv | 0.76 | -0.13 | 0.04 | -0.2 | 0.05 | -0.1 | 0.23 | 0.11 | 0.13 | 0.06 |
SMCAUSvp | 0.58 | -0.1 | 0.55 | -0.22 | 0.01 | -0.03 | 0.22 | 0.15 | 0.13 | -0.03 |
SMINTEp | 0.62 | 0.03 | -0.13 | -0.29 | 0.33 | -0.08 | -0.06 | 0.16 | 0.08 | -0.01 |
SMCAUSr | -0.25 | 0.24 | 0.61 | 0.15 | -0.05 | 0.2 | -0.11 | 0.04 | 0.1 | 0.13 |
SMINTEr | -0.23 | 0.03 | 0.66 | 0.03 | -0.13 | 0.26 | 0.11 | -0.11 | 0.13 | 0.18 |
SMCAUSlsa | -0.16 | 0.03 | -0.08 | -0.11 | -0.21 | 0.43 | 0.17 | -0.07 | 0.38 | -0.38 |
SMCAUSwn | 0.11 | 0.06 | 0.17 | -0.08 | 0.17 | 0.12 | 0.02 | 0.09 | 0.71 | 0.06 |
SMTEMP | 0.73 | 0.62 | 0.07 | 0.08 | 0 | 0.01 | 0.13 | 0.05 | 0.05 | 0.12 |
SYNLE | -0.17 | -0.03 | -0.01 | 0.03 | 0.02 | -0.18 | 0.08 | 0.23 | 0.35 | 0.02 |
SYNNP | -0.03 | -0.11 | -0.04 | -0.14 | -0.65 | -0.04 | 0.11 | 0.03 | 0 | 0.01 |
SYNMEDpos | 0.74 | 0.57 | 0.07 | 0.11 | 0.01 | 0.02 | 0.12 | 0.04 | 0.04 | 0.12 |
SYNMEDwrd | 0.76 | 0.56 | 0.07 | 0.11 | 0 | 0 | 0.14 | 0.07 | 0.05 | 0.13 |
SYNMEDlem | 0.76 | 0.55 | 0.07 | 0.11 | -0.01 | 0 | 0.14 | 0.08 | 0.05 | 0.14 |
SYNSTRUTa | 0.77 | 0.18 | -0.04 | -0.11 | 0.04 | 0.05 | 0.05 | 0.15 | 0.07 | -0.01 |
SYNSTRUTt | 0.82 | 0.16 | -0.08 | -0.11 | 0.04 | 0.04 | 0.01 | 0.18 | 0.08 | 0.01 |
DRNP | -0.17 | 0.01 | -0.27 | -0.2 | -0.15 | 0.04 | -0.25 | 0.33 | -0.36 | 0.1 |
DRVP | 0.16 | 0.04 | 0.09 | -0.05 | 0.64 | -0.04 | 0.03 | -0.04 | 0.22 | -0.22 |
DRAP | -0.1 | 0.09 | 0.25 | 0.55 | 0.08 | -0.01 | -0.11 | -0.01 | 0.25 | -0.07 |
DRPP | 0.04 | -0.06 | -0.09 | -0.13 | -0.13 | 0 | 0.02 | 0.18 | 0 | 0.66 |
DRNEG | 0.03 | 0.03 | -0.11 | 0.5 | 0.05 | 0.06 | -0.08 | 0.13 | -0.12 | -0.06 |
WRDNOUN | 0.05 | -0.06 | -0.13 | -0.26 | -0.71 | -0.31 | 0.03 | 0.24 | 0.05 | 0.02 |
WRDVERB | 0.23 | 0.1 | 0.08 | -0.06 | 0.61 | -0.04 | 0.07 | 0.07 | 0.21 | 0.07 |
WRDADJ | 0.09 | -0.11 | -0.09 | 0.09 | -0.24 | 0.1 | 0.31 | 0.1 | -0.1 | -0.56 |
WRDADV | -0.09 | 0.14 | 0.33 | 0.71 | 0.06 | 0.06 | -0.1 | -0.05 | 0.19 | -0.08 |
WRDPRO | -0.04 | 0.14 | -0.08 | 0 | 0.61 | 0.27 | -0.34 | 0.06 | -0.27 | 0.02 |
WRDPRP3s | 0.03 | 0.12 | 0 | 0.21 | 0.06 | -0.03 | -0.04 | 0.08 | 0.01 | 0.09 |
WRDPRP3p | -0.06 | -0.18 | -0.05 | -0.03 | 0 | -0.17 | 0.07 | 0.18 | 0.04 | -0.3 |
WRDFRQc | -0.08 | -0.06 | 0.23 | 0.22 | 0.16 | 0.75 | -0.34 | 0.07 | 0.04 | -0.14 |
WRDFRQa | -0.26 | -0.09 | 0.17 | 0.07 | 0.13 | 0.58 | -0.43 | -0.17 | -0.25 | 0.22 |
WRDFRQmc | 0.79 | 0.09 | 0.01 | 0.04 | 0.12 | 0.07 | 0.05 | 0 | 0.09 | 0.08 |
WRDAOAc | 0.22 | -0.06 | 0.11 | 0.24 | -0.11 | -0.2 | 0.07 | 0.1 | 0.07 | -0.14 |
WRDFAMc | -0.02 | -0.03 | 0.12 | 0.02 | 0.12 | 0.67 | -0.08 | 0.09 | 0.19 | 0.09 |
WRDCNCc | 0.04 | 0.03 | -0.31 | -0.41 | -0.07 | -0.5 | 0.03 | 0.02 | 0.1 | 0.51 |
WRDIMGc | 0.01 | -0.02 | -0.38 | -0.48 | -0.16 | -0.48 | 0.12 | -0.01 | 0.05 | 0.38 |
WRDMEAc | 0.11 | -0.11 | -0.36 | -0.47 | -0.13 | -0.18 | 0.25 | -0.1 | 0.09 | 0.37 |
WRDPOLc | 0.15 | 0.08 | 0.25 | -0.21 | 0.13 | 0.2 | -0.04 | 0.15 | 0.67 | -0.04 |
WRDHYPn | 0.11 | 0.25 | 0.03 | 0.04 | 0.22 | -0.32 | -0.03 | 0.07 | 0.48 | 0.07 |
WRDHYPv | 0.14 | 0.04 | -0.01 | -0.07 | 0.57 | -0.12 | 0.01 | -0.03 | 0.46 | 0.06 |
WRDHYPnv | 0.04 | 0.16 | -0.1 | -0.23 | -0.23 | -0.52 | -0.02 | 0.14 | 0.49 | 0.03 |
RDFRE | 0.79 | 0.26 | -0.08 | -0.09 | 0.14 | -0.09 | -0.13 | 0.11 | -0.23 | -0.18 |
RDFKGL | -0.75 | -0.25 | 0.1 | 0.11 | -0.11 | 0.11 | -0.03 | -0.15 | 0.26 | 0.24 |
RDL2 | 0.48 | 0.59 | 0.15 | 0.01 | 0.2 | 0.44 | -0.16 | 0.08 | 0.1 | -0.1 |