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Correction for REIERSØL, Biometrika 48 (3-4) 359-365.
Biometrika 1962 49(1-2):283; doi:10.1093/biomet/49.1-2.283-b
© 1962 by Biometrika Trust
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Corrigenda

Corrigenda

I regret having published a test for the hypothesis (4.1, ijy) based on the inequality (4.5, ijy). When we carry out the minimization of Gijy(t ) we get as a factor. When Tijy is different from 0 we may divide by |Tijy| on both sides of the inequality. We then find that (4.5, ijy) is equivalent to an inequality stating that a positive definite quadratic form in (ai–aj) and (bi–bj) is less than or equal to a constant, so that a test based on this inequality is a test of the hypothesis {alpha} = {alpha}i, ßj = rather than the hypothesis (4.1, ijy).

The preceding result does not represent any argument against using a test for the hypothesis (4.1, ijy) based on (4.4). Instead of minimizing Gijy(t) with respect to t we may choose a certain value oft, or take an average of the right-hand side of (4.4) for different values of t in such a way that we make the level of significance of the test as far as possible independent of {alpha}i, {alpha}j, ßi, ßi for values of these parameters satisfying (4.1, ijy).


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