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Table 5 Computation method micro avg, macro avg and weighted avg

From: Flight delay prediction based on deep learning and Levenberg-Marquart algorithm

Parameter

Micro avg

Macro avg

Weighted avg

Precision

\(\frac{{\sum }_{\mathrm{c}=1}^{4}{\mathrm{TP}}_{\mathrm{c}}}{{\sum }_{\mathrm{c}=1}^{4}{\mathrm{TP}}_{\mathrm{c}}+ {\sum }_{\mathrm{c}=1}^{4}{\mathrm{FP}}_{\mathrm{c}}}\)

\(\frac{1}{4}\sum_{c=1}^{4} \frac{{\mathrm{TP}}_{\mathrm{c}}}{{\mathrm{TP}}_{\mathrm{c}}+ {\mathrm{FP}}_{\mathrm{c}}}\)

\(\frac{{\sum }_{\mathrm{c}=1}^{4}{T}_{\mathrm{c}}{\mathrm{P}}_{\mathrm{c}}}{{\sum }_{\mathrm{c}=1}^{4}{T}_{\mathrm{c}}}\)

Recall

\(\frac{{\sum }_{\mathrm{c}=1}^{4}{\mathrm{TP}}_{\mathrm{c}}}{{\sum }_{\mathrm{c}=1}^{4}{\mathrm{TP}}_{\mathrm{c}}+ {\sum }_{\mathrm{c}=1}^{4}{\mathrm{FN}}_{\mathrm{c}}}\)

\(\frac{1}{4}\sum_{c=1}^{4}\frac{{\mathrm{TP}}_{\mathrm{c}}}{{\mathrm{TP}}_{\mathrm{c}}+ {\mathrm{FN}}_{\mathrm{c}}}\)

\(\frac{{\sum }_{\mathrm{c}=1}^{4}{T}_{\mathrm{c}}{\mathrm{R}}_{\mathrm{c}}}{{\sum }_{\mathrm{c}=1}^{4}{T}_{\mathrm{c}}}\)

Specificity

\(\frac{{\sum }_{\mathrm{c}=1}^{4}{\mathrm{TN}}_{\mathrm{c}}}{{\sum }_{\mathrm{c}=1}^{4}{\mathrm{TN}}_{\mathrm{c}}+ {\sum }_{\mathrm{c}=1}^{4}{\mathrm{FN}}_{\mathrm{c}}}\)

\(\frac{1}{4}\sum_{c=1}^{4}\frac{{\mathrm{TN}}_{\mathrm{c}}}{{\mathrm{TN}}_{\mathrm{c}}+ {\mathrm{FN}}_{\mathrm{c}}}\)

\(\frac{{\sum }_{\mathrm{c}=1}^{4}{T}_{\mathrm{c}}{\mathrm{S}}_{\mathrm{c}}}{{\sum }_{\mathrm{c}=1}^{4}{T}_{\mathrm{c}}}\)

Accuracy

\(\frac{{\sum }_{\mathrm{c}=1}^{4}{\mathrm{TP}}_{\mathrm{c}}+{\sum }_{\mathrm{c}=1}^{4}{\mathrm{TN}}_{\mathrm{c}}}{{\sum }_{\mathrm{c}=1}^{4}{\mathrm{TP}}_{\mathrm{c}}+ {\sum }_{\mathrm{c}=1}^{4}{\mathrm{FP}}_{\mathrm{c}}+{\sum }_{\mathrm{c}=1}^{4}{\mathrm{TN}}_{\mathrm{c}}+ {\sum }_{\mathrm{c}=1}^{4}{\mathrm{FN}}_{\mathrm{c}}}\)

\(\frac{1}{4}\sum_{c=1}^{4}\frac{{\mathrm{TP}}_{\mathrm{c}}+{\mathrm{TN}}_{\mathrm{c}}}{{\mathrm{TP}}_{\mathrm{c}}+ {\mathrm{FP}}_{\mathrm{c}}+{\mathrm{TN}}_{\mathrm{c}}+ {\mathrm{FN}}_{\mathrm{c}}}\)

\(\frac{{\sum }_{\mathrm{c}=1}^{4}{T}_{\mathrm{c}}{A}_{\mathrm{c}}}{{\sum }_{\mathrm{c}=1}^{4}{T}_{\mathrm{c}}}\)

F1 measure

\(\frac{2*\mathrm{Recall}*\mathrm{Precision}}{\mathrm{Recall}+\mathrm{precision}}\)

\(\frac{2*\mathrm{Recall}*\mathrm{Precision}}{\mathrm{Recall}+\mathrm{precision}}\)

\(\frac{{\sum }_{\mathrm{c}=1}^{4}{T}_{\mathrm{c}}{\mathrm{F}1}_{\mathrm{c}}}{{\sum }_{\mathrm{c}=1}^{4}{T}_{\mathrm{c}}}\)