Therefore, f =
jM-T 0.97576 —0.005152 1 r 1110 j2J = L—0.005152 0.0000303J [205500
Previously we obtained j = 24.4545 and 02 = 0.5091 using the computer. The difference between the two estimates is due to the rounding errors. In passing, note that in working on a desk calculator it is essential to obtain results to several significant digits to minimize the rounding errors.
Matrix methods enable us to develop formulas not only for the variance of jji, any given element of ft, but also for the covariance between any two elements of ft, say, jji and j. We need these variances and covariances for the purpose of statistical inference.
By definition, the variance-covariance matrix of ft is [cf. (C.2.2)]
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