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Both the comparison and the trace tests conducted demonstrated the satisfactory functioning of the automated model generator.
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Mr. Brown said he had also briefed Mr. Obama about other measures Britain was taking to improve aviation security, including installation of body scanners that will go into operation next week at airports including Heathrow in London; an increase in "explosive trace testing" of checked and carry-on baggage; and wider use of sniffer dogs.
The trace test is based on Eq. (1).
The first test is the trace test and the second is the maximum eigenvalue test.
Trace test and Maximum Eigen value test of Johansen and Juselius (1990) have been used.
(Johansen 1988) derived two tests for cointegration: the λ − max (or maximum eigenvalue test) and the trace test.
Table 4 Cointegration test based on the trace and max tests H 0 Trace test Max test r = 0 63.7112* 61.709* r = 1 2.003 2.003 * Rejection of the hypothesis at the 5%% level.
Additional file 2: Table S2 shows that there are five cointegration equations based on the trace test, and three cointegration equations based on the maximum eigenvalue test.
The Johansen co-integration test has two test statistics: the trace test statistic (mathop lambda nolimits_{text{trace}}) and the maximum eigenvalue test statistic (mathop lambda nolimits_{hbox{max} }), which are shown in Eq. (4) and Eq. (5).
Table 4 Results of Johansen cointegration test Hypothesized: number of cointegration vectors Eigenvalue Trace statistic 0.05 Critical value Prob.* 0 0.1126 6.7905 15.4947 0.6021 At most 1 0.0018 0.0991 3.8415 0.7529 Trace test indicates no cointegration at the 0.05 level * Mackinnon-Haug-Michelis (1999) P values.
Results were unequivocal in indicating a significant difference between age classes (P = 0.0181 (trace test) or 0.006 (test based on the first squared canonical correlation)), with eight out of the 11 fallen needle samples being correctly classified, i.e. placed in the correct needle class by the cross-validation procedure of CAP.
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