The
MVLR model was developed using XLSTAT software to test the selected model. The input variables for the other model are utilized as the estimators, while the
OTE20 is used as response parameters. The generated form of the
MVLR model from training data is given in Equation (4), and the fitness and suitability of this developed form are checked through the test data. The outcomes in the agreement diagram for training and testing datasets as depicted in
Figure 4. The estimated error and accuracy of the results are assessed by performance metrics (Table 3).
Figure 4 presents a scatter plot of OTE data points at the gabion weir. Relatively, the bulk of the training data points for the training phase is near to zero error line (along the perfect line), while for the testing stage, the testing data points are slightly away from the very zero error line, which implies that the generated predictive model is not so precise and accurate. This contention is further buttressed from the perusal of
Figure 5, where the variation of the computed data has been shown against the experimental values of the
OTE20 for the test and training datasets. Table 3 suggests that cc and
rmse are 0.883 and 0.265, respectively, for the test dataset, which means the correlation is moderately good but high error as
cc = 0.902 and
rmse = 0.047 that of the training dataset. It suggests that this model performs well in the training and testing phases.
Table 3Performance parameters of proposed models
Approaches
. | Training
. | Testing
. |
---|
cc
. | rmse
. | cc
. | rmse
. |
---|
BPNN | 0.956 | 0.033 | 0.900 | 0.041 |
MVLR | 0.902 | 0.047 | 0.844 | 0.048 |
MVNLR | 0.930 | 0.024 | 0.883 | 0.265 |
ANFIS triangular mf (ANFIS_TRI) | 0.976 | 0.024 | 0.846 | 0.051 |
ANFIS trapezoidal_mf (ANFIS_TRAP) | 0.933 | 0.039 | 0.812 | 0.060 |
ANFIS gbell mf (ANFIS_GBELL) | 0.968 | 0.028 | 0.676 | 0.082 |
ANFIS gauss mf (ANFIS_GAUSS) | 0.976 | 0.024 | 0.682 | 0.080 |
Approaches
. | Training
. | Testing
. |
---|
cc
. | rmse
. | cc
. | rmse
. |
---|
BPNN | 0.956 | 0.033 | 0.900 | 0.041 |
MVLR | 0.902 | 0.047 | 0.844 | 0.048 |
MVNLR | 0.930 | 0.024 | 0.883 | 0.265 |
ANFIS triangular mf (ANFIS_TRI) | 0.976 | 0.024 | 0.846 | 0.051 |
ANFIS trapezoidal_mf (ANFIS_TRAP) | 0.933 | 0.039 | 0.812 | 0.060 |
ANFIS gbell mf (ANFIS_GBELL) | 0.968 | 0.028 | 0.676 | 0.082 |
ANFIS gauss mf (ANFIS_GAUSS) | 0.976 | 0.024 | 0.682 | 0.080 |
Figure 4
Experimental and computed OTE20 using MVLR for the training and testing data.
Figure 4
Experimental and computed OTE20 using MVLR for the training and testing data.
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Experimental and computed OTE20 using MVLR in the training and testing period.
Figure 5
Experimental and computed OTE20 using MVLR in the training and testing period.
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