Fit a smooth GAM function to replace looking up values in Table 1 of Litchfield and Wilcoxon (1949).
Note that for an expected value of 37 Table 1 gives a corrected value of
9.4, but for an expected value of 63 it gives a corrected value of 90.5.
To ensure that both values add to 100, I used corrected values of 9.45
and 90.55. The expected and corrected values from Table 1 are then used
to build a GAM model, which is used as input to the
gamObject that can be used to predict the corrected values
(as proportions) from
the distance between the expected values (as proportions) and 0.5
Litchfield, JT Jr. and F Wilcoxon. 1949. A simplified method of evaluating dose-effect experiments. Journal of Pharmacology and Experimental Therapeutics 96(2):99-113. [link].
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