International Scholarly Research Notices / 2012 / Article / Tab 1

Research Article

Prediction of Ultimate Bearing Capacity of Cohesionless Soils Using Soft Computing Techniques

Table 1

Performance evaluation criteria.

Evaluation criteriaEquation

Coefficient of correlation (R) βˆ‘ 𝑅 = 𝑛 𝑖 = 1 ( 𝑦 π‘œ 𝑖 βˆ’ 𝑦 π‘œ ) ( 𝑦 𝑐 𝑖 βˆ’ 𝑦 𝑐 )  βˆ‘ 𝑛 𝑖 = 1 ( 𝑦 π‘œ 𝑖 βˆ’ 𝑦 π‘œ ) 2  βˆ‘ 𝑛 𝑖 = 1 ( 𝑦 𝑐 𝑖 βˆ’ 𝑦 𝑐 ) 2
Coefficient of efficiency (E) βˆ‘ 𝐸 = 1 βˆ’ 𝑛 𝑖 = 1 ( 𝑦 π‘œ 𝑖 βˆ’ 𝑦 𝑐 𝑖 ) 2 βˆ‘ 𝑛 𝑖 = 1 ( 𝑦 π‘œ 𝑖 βˆ’ 𝑦 π‘œ ) 2
Root-mean-square error (RMSE) ξƒŽ R M S E = βˆ‘ 𝑛 𝑖 = 1 ( 𝑦 π‘œ 𝑖 βˆ’ 𝑦 𝑐 𝑖 ) 2 𝑛
Mean bias error (MBE)  1 M B E = 𝑛 𝑛 βˆ‘ 𝑖 = 1 ( 𝑦 𝑐 𝑖 βˆ’ 𝑦 π‘œ 𝑖 )
Percentage relative error (RE) R E = ( 𝑦 π‘œ βˆ’ 𝑦 𝑐 ) 𝑦 π‘œ βˆ— 1 0 0
Percentage mean absolute relative error (MARE) 1 M A R E = 𝑛 𝑛 βˆ‘ 𝑖 = 1 | R E |

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