The mechanics of the procedure for building space-time autoregressive moving average (STARMA) models is dependent upon the form of 'G,' the variance-covariance matrix of the underlying errors.
This paper presents large sample tests of the hypotheses that 'G' is diagonal and that 'G' equals o-squared times I. Tables of the critical values for these tests are constructed. Formulas and 20 references are included. (Author abstract modified)