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13 Description of output files 198of non-singular effects in the terms before the current term is absorbed. Forexample, variety.nitrogen initially has 12 degrees of freedom (non-singular effects).mu takes 1, variety then takes 2, linNitr takes 1, nitrogen takes 2,variety.linNitr takes 2 and there are four degrees of freedom left. This informationis used to make sure that the conditional F-statistic does not contradictmarginality principles.The next table indicates the details of the conditional F-statistic. The conditionalF-statistic is based in the reduction in Sums of Squares from dropping the particularterm (indicated by *) from the model also including the terms indicatedby I, C and c.The next two tables, based on incremental and conditional sums of squares reportthe model term, the number of effects in the term, the (numerator) degrees offreedom, the F-statistic, an adjusted F-statistic multiplied by a scaling constantreported in the next column and finally the computed denominator degrees offreedom. The scaling constant is discussed by Kenward and Roger (1997).Table showing the reduction in the numerator degrees of freedomfor each term as higher terms are absorbed.Model Term 6 5 4 3 2 11 mu 12 3 4 1 3 12 variety 11 3 3 1 23 LinNitr 9 3 3 14 nitrogen 8 2 25 variety.LinNitr 6 26 variety.nitrogen 4Marginality pattern for F-con calculation-- Model terms --Model Term DF 1 2 3 4 5 61 mu 1 * . C . C .2 variety 2 I * C C . .3 LinNitr 1 I I * . . .4 nitrogen 2 I I I * . .5 variety.LinNitr 2 I I I I * .6 variety.nitrogen 4 I I I I I *F-inc tests the additional variation explained when the term (*)is added to a model consisting of the I terms.F-con tests the additional variation explained when the term (*)is added to a model consisting of the I and C/c terms.The . terms are ignored for both F-inc and F-con tests.