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Table 5 Optimal lag selection 1982 to 2021 data

From: Effects of crude oil prices on copper and maize prices

Lag

LogL

LR

FPE

AIC

SC

HQ

0

− 554.07

NA

0.00219

2.39084

2.41752

2.40134

1

1799.2

4666.21

9.36E−08

− 7.67056

− 7.56384

− 7.62856

2

1875.7

150.659

7.01E−08

− 7.96017

− 7.773410*

− 7.886664*

3

1886.4

20.8806

6.96e−08*

− 7.967329*

− 7.70054

− 7.86233

4

1889.3

5.64184

7.14E−08

− 7.94116

− 7.59433

− 7.80466

5

1892.8

6.87335

7.31E−08

− 7.9178

− 7.49094

− 7.7498

6

1905.8

24.7683

7.19E−08

− 7.93459

− 7.42768

− 7.73509

7

1916.6

20.73668*

7.13E−08

− 7.94267

− 7.35572

− 7.71166

8

1921.7

9.58511

7.25E−08

− 7.92577

− 7.25879

− 7.66327

  1. *Implies selection of the lag order by the criterion
  2. LR sequential modified LR test statistic (each test at 5% level)
  3. FPE = Final prediction error
  4. AIC = Akaike information criterion
  5. SC = Schwarz information criterion
  6. HQ = Hannan–Quinn information criterion