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. 2023 May 8;9(1):87. doi: 10.1186/s40854-023-00478-2

Table 9.

ARCH LM test with null hypothesis of No ARCH with Lag=1

FJT IMP RYL
F-stat. 69.407 P. F(1,586) 0.000 F-stat. 38.530 P. F(1,586) 0.000 F-stat. 42.339 P. F(1,586) 0.000
Obs*R2 62.269 P. Chi2(1) 0.000 Obs*R2 36.276 P. Chi2(1) 0.000 Obs*R2 39.621 P. Chi2(1) 0.000
KYT OL SB
F-stat. 16.228 P. F(1,586) 0.000 F-stat. 16.663 P. F(1,586) 0.000 F-stat. 1.233 P. F(1,586) 0.267
Obs*R2 15.845 P. Chi2(1) 0.000 Obs*R2 16.257 P. Chi2(1) 0.000 Obs*R2 1.235 P. Chi2(1) 0.266
KRT CHH H
F-stat. 192.398 P. F(1,586) 0.000 F-stat. 7.439 P. F(1,627) 0.007 F-stat. 31.408 P. F(1,627) 0.000
Obs*R2 145.337 P. Chi2(1) 0.000 Obs*R2 7.376 P. Chi2(1) 0.007 Obs*R2 30.005 P. Chi2(1) 0.000
HLT IHG MAR
F-stat. 23.846 P. F(1,627) 0.000 F-stat. 17.632 P. F(1,627) 0.000 F-stat. 59.206 P. F(1,627) 0.000
Obs*R2 23.046 P. Chi2(1) 0.000 Obs*R2 17.205 P. Chi2(1) 0.000 Obs*R2 54.270 P. Chi2(1) 0.000
WH  MGM
F-stat. 64.669 P. F(1,627) 0.000 F-stat.  2.651  P. F(1,627)  0.104
Obs*R2 58.809 P. Chi2(1) 0.000 Obs*R2  2.648  P. Chi2(1)  0.104

With the exceptions of SB and MGM, we reject the null hypothesis that the squared residuals from the regression of both Japanese and the US hotel log price differences on a constant do not have ARCH effects up to the lag = 1 term