Abstract: (joint work with Shane Mansfield)As it is usually presented, the physical consequence of contextuality is that it forces one to give upon either determinism or parameter-independence. The latter ensures that measurement responsesare independent of context, i.e. any other compatible measurements that are performed jointly.These are assumptions that apply to hidden variable models, which are supposed to encompassany reasonable physical description that could underlie the empirical data. In realistic, noisyexperiments however, the validity of those assumptions can be called into question. This introducesloopholes to the physical conclusions one can draw from instance of contextuality. A number ofprevious works have addressed one or other of these loopholes. We build on this to provide a unifiedapproach to closing both loopholes by introducing appropriate correction terms to the contextualfraction measure of contextuality.