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Table 6 Sequence of homogeneity tests for selecting order M of transition function

From: Do US states’ responses to COVID-19 restore investor sentiment? Evidence from S&P 500 financial institutions

Transition variable: government response index (GRI)

 

LM_X

PV

LM_F

PV

HAC_X

PV

HAC_F

PV

WB_PV

WCB_PV

\(H_{03}^{*}\)

63.36

5.71E−13

15.77

6.93E−13

39.78

4.81E−08

9.901

5.34E−08

0

0

\(H_{02}^{*}\)

104.8

0.00E+00

26.07

0.00E+00

49.81

3.95E−10

12.39

4.58E−10

0

0

\(H_{01}^{*}\)

60.05

2.84E−12

14.94

3.45E−12

37.42

1.48E−07

9.309

1.64E−07

0

0

  1. Select m = 2 if the rejection of \(H_{02}^{*} H_{02}^{*}\) is the strongest one, otherwise select m = 1