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. 2018 Jul 2;13(7):e0199510. doi: 10.1371/journal.pone.0199510

Table 7. The results of ARIMA and forecasting.

Topic Order1 Log Lik. AIC BIC HQIC Ljung-Box2 Pre-1991 Gth Post-1991 Gth Avg Future Gth Category
The Field (1, 1, 1) 344.23 -680.47 -672.98 -677.640 0.11(0.74) 3.03% 9.71% 2.51% Benchmark
Topic 1 (1, 0, 1) 441.95 -875.89 -868.33 -873.023 0.002(0.96) -22.19% 15.25% -3.64% Cold
Topic 2 (0, 0, 6) 465.19 -914.38 -899.25 -908.641 0.38(0.54) 14.67% 12.91% -241.18% Cold
Topic 3 (3, 1, 1) 387.20 -762.41 -751.18 -758.167 0.003(0.95) 23.58% 12.19% -1.42% Cold
Topic 4 (2, 0, 0) 481.49 -954.99 -947.42 -952.116 0.006(0.94) -5.75% 4.62% -6.50% Cold
Topic 5 (4, 1, 0) 455.30 -898.60 -887.37 -894.357 0.008(0.93) -19.13% 28.49% -0.11% Cold
Topic 6 (4, 0, 0) 464.02 -916.04 -904.69 -911.734 0.086(0.77) -3.35% 39.61% 0.13% Stable
Topic 7 (3, 0, 0) 458.57 -907.15 -897.69 -903.561 0.031(0.86) -19.67% 18.89% -4.85% Cold
Topic 8 (3, 0, 0) 474.18 -938.37 -928.91 -934.777 0.097(0.76) -26.11% 6.70% -1.61% Cold
Topic 9 (9, 1, 0) 433.99 -845.98 -825.39 -838.200 0.011(0.91) 17.91% 36.31% 3.69% Hot
Topic 11 (1, 0, 1) 451.47 -894.95 -887.38 -892.078 0.43(0.51) -5.24% 10.07% -2.34% Cold
Topic 10 (1, 0, 1) 477.77 -947.54 -939.98 -944.673 0.10(0.76) -3.11% 7.84% -2.58% Cold
Topic 12 (0, 1, 1) 444.82 -883.64 -878.03 -881.517 1.49(0.23) 25.25% 25.17% 0.00% Stable
Topic 13 (6, 1, 3) 446.49 -870.98 -850.39 -863.198 0.40(0.53) -11.91% 19.68% -0.32% Cold
Topic 14 (8, 0, 0) 458.75 -897.49 -878.57 -890.313 0.007(0.93) -1.76% 11.88% 3.54% Hot
Topic 15 (1, 0, 0) 455.28 -904.56 -898.89 -902.408 0.06(0.80) 4.84% 14.87% -20.01% Cold
Topic 16 (3, 1, 0) 451.93 -893.85 -884.50 -890.316 0.002(0.97) 2.53% 27.63% 1.63% Stable
Topic 17 (4, 1, 0) 462.62 -913.24 -902.02 -909.000 0.0005(0.98) -5.86% 20.68% 0.18% Stable
Topic 18 (0, 1, 1) 448.38 -890.76 -885.14 -888.635 2.90(0.09) -8.05% 21.97% 0.00% Stable
Topic 19 (1, 1, 1) 452.23 -896.47 -888.99 -893.641 0.04(0.84) 3.34% 11.71% 0.25% Stable
Topic 20 (9, 1, 0) 456.72 -891.44 -870.85 -883.658 0.01(0.93) -18.53% 54.94% 0.37% Stable
Topic 21 (2, 1, 0) 466.03 -924.06 -916.58 -921.232 0.65(0.42) -13.63% 24.26% -0.55% Cold
Topic 22 (3, 0, 0) 455.68 -901.36 -891.90 -897.769 0.02(0.90) -7.24% 10.51% 8.53% Hot
Topic 23 (5, 1, 0) 455.69 -897.37 -884.27 -892.423 0.35(0.55) -17.13% 28.30% -2.70% Cold
Topic 24 (0, 1, 1) 437.37 -868.75 -863.13 -866.625 0.72(0.40) 25.75% 21.49% 0.00% Stable
Topic 25 (1, 0, 1) 434.51 -861.02 -853.45 -858.148 0.08(0.77) 7.07% 16.60% -1.30% Cold

1: the order is listed as p, d, q.

2: the number in parentheses is p-value of the Ljung-Box test.