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New PDF release: Bioassay

By Ralph I. Dorfman (Eds.)

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Analysis with the (0, 1) or (0, 1, 2) scores gets over this difficulty, in addition t o making computation much easier. Because it is n o w practicable t o use all of the 1535 degrees of freedom in the tests, variation both between and within individual animals, not groups of animals, is examined. In both T a b l e s X I X and X X , w e see that differences between groups are associated with a p ­ proximately the same variance as differences between animals within groups, which in turn is about double the residual error (error 1 in the t a b l e s ) .

W h e n more than 2 doses are used per substance, the arithmetic remains simple, but requires modification. If 3 doses are used per sub­ stance, there are 5 degrees of freedom associated with differences b e ­ tween groups, so that in addition to the components isolated a b o v e , two additional components m a y be isolated so that (4) the possible departure of the combined dose-response line from linearity, and (5) the possible opposed curvature of the t w o separate dose-response lines 26 C.

T h e same is achieved b y segregation of possible sources of heterogeneity in the design o f assays, some types of which m a y allow quite heterogeneous material t o be used if there are no inter­ actions with dosage levels. W h e n e v e r the test objects can be subdivided into several groups believed to be more homogeneous than the whole, or whenever a test object can be used more than once, various restrictions in the design of assays become possible, which will usually contribute materially t o the reduction of error.

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