According with previous literature, we deﬁne randomized inverse sampling for comparing two treatments with respect to a binary response as the random- ized sampling which stops when a total ﬁxed number of successes is observed. We obtain asymptotic distributions for the counting variables involved and show them to be equivalent to the corresponding asymptotic distributions for multinomial sampling, but to give rise to genuinely novel procedures when translated into ﬁnite sample approximations. As the main example, a novel conﬁdence interval for the logarithm of the odds ratio of two success prob- abilities can be constructed in the case of comparative randomized inverse sampling. We discuss this conﬁdence interval in detail, obtain its asymp- totic distribution and discuss its ﬁnite sample properties when compared to multinomial sampling.
|Titolo:||Comparative randomized inverse sampling|
|Data di pubblicazione:||2015|
|Digital Object Identifier (DOI):||10.1111/stan.12049|
|Appare nelle tipologie:||1.1 Articolo in rivista|