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this is one of the few situations in mathematics where pointwise convergence implies uniform convergence; the key is the greater control implied by the monotonicity.
dit is een van de weinige situaties in de wiskunde waarbij puntsgewijze convergentie uniforme convergentie impliceert.
an alternative that is most appropriate for large sample sizes, when there is extra binomial variance, is to treat the emergence ratio as a continuous response and use procedures such as william’s test when a monotonic dose-response is expected and is consistent with these er data. dunnett’s test would be appropriate where monotonicity does not hold.
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