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Table 10 RF-Shapley regression with China data (sorted by the size of share)

From: An innovative machine learning workflow to research China’s systemic financial crisis with SHAP value and Shapley regression

Feature

Signa

Share

(SSCvalue)

Coefficient

P value

Exponentiation

Change of \(\frac{{y}_{risk}}{1-{y}_{risk}}\)

YieldCurveSlope

 + 

0.1660***

0.0359

0.000

1.0366

Significantly increased by 3.66%

Credit

 + 

0.1398***

0.0075

0.000

1.0075

Significantly increased by 0.75%

NarrowMoney

 + 

0.1382***

0.0116

0.000

1.0117

Significantly increased by 1.17%

Credit-Dif

 + 

0.1106***

0.0082

0.000

1.0082

Significantly increased by 0.82%

CreditCostGrowth

 + 

0.1091***

0.0327

0.000

1.0332

Significantly increased by 3.32%

DidYield

 − 

0.1081***

0.0311

0.000

1.0316

Significantly decreased by 3.16%

CPI-Dif

 − 

0.0823***

0.0190

0.000

1.0192

Significantly decreased by 1.92%

GlobalNetExport

 + 

0.0611***

0.0134

0.000

1.0135

Significantly increased by 1.35%

FinancialConcentration

 − 

0.0432***

0.0091

0.000

1.0091

Significantly decreased by 0.91%

NetExport

 − 

0.0417***

0.0062

0.000

1.0062

Significantly decreased by 0.62%

  1. ***, **and * respectively means that the null hypothesis is rejected at the significance level of 1%, 5%, 10%
  2. a Since we don’t have risk target of China, it is impossible to determine sign for China with Logistic Regression. Therefore, we took the feature value as the independent variable, the corresponding SHAP value as the dependent variable, and then fitted the line to obtain the sign. Moreover, to be robust, we averaged the SHAP value calculated by RF and GBDT for features.