Root Test

Cauchy s Root Test. If the /ith root of the absolute value of the /ith term, as n becomes unbounded, approaches... 

To further test whether the series is stationary, a formal method called unit roots test is provided. The results of unit roots test can be seen in table 2. 

Table 2. The unit root tests of series silx.

Stationary test of the residual sequence Before modeling on the residual sequence, use Eviews6.0 software to check whether the residual sequence is smooth or not, if so, directly establish ARMA model, if not, it has to be taken some steps of difference. After it s smooth, use the ARMA model and establish ARIMA model. Residual sequence is tested on the unit root test, the results are shown in Figure 1 ... 

Figure 1. The unit root test of residuals. Table 4. Parameter estimates table. ...

We can use the same basic approach to determine for the helium, although a minor modification is required. The general rate of increase from the nth root test is linear but there is a superimposed oscillation with a period of approximately 10, which cannot be accounted for by Eq. (20). This behavior suggests [36] a pair of complex-conjugate branch points slightly displaced from the negative real axis,... 

Figure 1. nth-root test for the energy expansions of four eigenstates, labeled Inon ne) according to the quantum numbers of the large-dimension limit. 

When testing potential antiauxins the methods used in evaluating (stem) growth-promoting properties cannot be applied satisfactorily, since secondary inhibitory effects, not being real antiauxin actions e.g. phytotoxicity), may easily confuse the issue. Root tests are to be preferred then for two reasons. 

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