## 4 Results
### Performance of the Models
#### 4.1.3 Error Rates for Sex Categories
\begin{table}
\begin{tabular}{c c c c c c c c} \hline \hline
**Age Group** & **Category** & **Model** & **MSE** & **MAE** & **RMSE** & **MAPE** & \(\mathbf{R^{2}}\) \\ \hline \multirow{6}{*}{65 to 69 years} & \multirow{6}{*}{New Cancer Cases} & ARIMA & 0.0083 & 0.0662 & 0.0914 & 0.0772 & 0.3804 \\  & & LSTM & 0.0071 & 0.0643 & 0.0840 & 0.0786 & 0.2028 \\  & & _Hybrid_ & _0.0030_ & _0.0473_ & _0.0546_ & _0.0546_ & _0.6826_ \\  & & Prophet & 0.0434 & 0.1977 & 0.2083 & 0.1373 & \(-\)7.8478 \\ \cline{2-8}  & \multirow{6}{*}{Cancer Incidence Rate} & ARIMA & 0.0049 & 0.0701 & 0.0867 & 0.0423 & 0.7709 \\  & & LSTM & 0.0008 & 0.0226 & 0.0278 & 0.0313 & 0.3561 \\  & & _Hybrid_ & _0.0001_ & _0.0070_ & _0.0083_ & _0.0235_ & _0.6739_ \\  & & Prophet & 0.0069 & 0.0612 & 0.0845 & 0.0679 & 0.5764 \\ \hline \multirow{6}{*}{70 to 74 years} & \multirow{6}{*}{New Cancer Cases} & ARIMA & 0.0080 & 0.0806 & 0.0892 & 0.0931 & 0.2429 \\  & & LSTM & 0.0039 & 0.0520 & 0.0627 & 0.0634 & 0.8156 \\  & & _Hybrid_ & _0.0031_ & _0.0459_ & _0.0559_ & _0.0620_ & _0.8845_ \\  & & Prophet & 0.0579 & 0.2302 & 0.2409 & 0.1138 & \(-\)2.4798 \\ \cline{2-8}  & \multirow{6}{*}{Cancer Incidence Rate} & ARIMA & 0.0001 & 0.0101 & 0.0116 & 0.0327 & 0.4240 \\  & & LSTM & 0.0045 & 0.0498 & 0.0672 & 0.1582 & \(-\)0.4997 \\  & & _Hybrid_ & _0.0001_ & _0.0086_ & _0.0117_ & _0.0275_ & _0.2875_ \\  & & Prophet & 0.0056 & 0.0725 & 0.0935 & 0.2287 & \(-\)1.1505 \\ \hline \multirow{6}{*}{75 to 79 years} & \multirow{6}{*}{New Cancer Cases} & ARIMA & 0.0035 & 0.0524 & 0.0592 & 0.0669 & 0.7772 \\  & & LSTM & 0.0061 & 0.0757 & 0.0778 & 0.0964 & 0.5426 \\  & & _Hybrid_ & _0.0033_ & _0.0512_ & _0.0572_ & _0.0584_ & _0.5831_ \\  & & Prophet & 0.0054 & 0.0633 & 0.0732 & 0.0903 & 0.4110 \\ \cline{2-8}  & \multirow{6}{*}{Cancer Incidence Rate} & ARIMA & 0.0018 & 0.0218 & 0.0422 & 0.0563 & 0.0188 \\  & & LSTM & 0.0023 & 0.0326 & 0.0479 & 0.0835 & 0.3755 \\  & & _Hybrid_ & _0.0010_ & _0.0205_ & _0.0316_ & _0.0465_ & _0.4501_ \\  & & Prophet & 0.0125 & 0.0835 & 0.11201 & 0.0843 & 0.5386 \\ \hline \multirow{6}{*}{80 to 84 years} & \multirow{6}{*}{New Cancer Cases} & ARIMA & 0.0023 & 0.0442 & 0.0476 & 0.0462 & 0.9672 \\  & & LSTM & 0.0024 & 0.0407 & 0.0485 & 0.0428 & 0.7745 \\  & & _Hybrid_ & _0.0007_ & _0.0196_ & _0.0261_ & _0.0210_ & _0.8385_ \\  & & Prophet & 0.0267 & 0.0500 & 0.0634 & 0.0575 & 0.1867 \\ \cline{2-8}  & \multirow{6}{*}{Cancer Incidence Rate} & ARIMA & 0.0013 & 0.0358 & 0.0363 & 0.0623 & 0.2378 \\  & & LSTM & 0.0042 & 0.0620 & 0.0650 & 0.1096 & 0.5701 \\  & & _Hybrid_ & _0.0002_ & _0.0126_ & _0.0154_ & _0.0130_ & _0.6267_ \\  & & Prophet & 0.0076 & 0.0694 & 0.0869 & 0.1163 & 0.5425 \\ \hline \multirow{6}{*}{85 to 89 years} & \multirow{6}{*}{New Cancer Cases} & ARIMA & 0.0040 & 0.0524 & 0.0629 & 0.0538 & 0.2693 \\  & & LSTM & 0.0023 & 0.0398 & 0.0480 & 0.0425 & 0.1433 \\  & & _Hybrid_ & _0.0019_ & _0.0355_ & _0.0432_ & _0.0376_ & _0.1592_ \\  & & Prophet & 0.0056 & 0.0568 & 0.0745 & 0.0601 & \(-\)1.6369 \\ \cline{2-8}  & \multirow{6}{*}{Cancer Incidence Rate} & ARIMA & 0.0093 & 0.0950 & 0.0963 & 0.2053 & 0.0619 \\  & & LSTM & 0.0105 & 0.0884 & 0.1027 & 0.2135 & 0.2379 \\  & & _Hybrid_ & _0.0014_ & _0.0286_ & _0.0375_ & _0.0650_ & _0.2018_ \\  & & Prophet & 0.0192 & 0.1139 & 0.1386 & 0.1236 & 8.1164 \\ \hline \multirow{6}{*}{90 years and over} & \multirow{6}{*}{New Cancer Cases} & ARIMA & 0.0099 & 0.0671 & 0.0995 & 0.0737 & 4.7627 \\  & & LSTM & 0.0094 & 0.0799 & 0.0969 & 0.0894 & 1.5906 \\ \cline{2-8}  & \multirow{6}{*}{New Cancer Incidence Rate} & _Hybrid_ & _0.0032_ & _0.0479_ & _0.0564_ & _0.0536_ & _0.4497_ \\ \cline{2-8}  & & Prophet & 0.0182 & 0.1257 & 0.1350 & 0.1387 & \(-\)2.9161 \\ \cline{2-8}  & \multirow{6}{*}{Cancer Incidence Rate} & ARIMA & 0.0011 & 0.0258 & 0.0338 & 0.0560 & 0.5235 \\ \cline{2-8}  & & LSTM & 0.0037 & 0.0450 & 0.0607 & 0.0956 & 0.4617 \\ \cline{2-8}  & & _Hybrid_ & _0.0003_ & _0.0155_ & _0.0184_ & _0.0327_ & _0.6609_ \\ \cline{2-8}  & & Prophet & 0.0076 & 0.0714 & 0.0874 & 0.0755 & \(-\)0.6405 \\ \hline \hline \end{tabular}
\end{table}