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Rev. A 92, 030101(R) (2015)] which describes the probability of violation of local realism under randomly sampled observables, and the strength of such violation as described by resistance to white noise admixture. While our knowledge concerning these quantities is well established from a theoretical point of view, the experimental counterpart is a considerably harder task and very little has been done in this field. It is caused by the lack of complete knowledge about the facets of the local polytope required for the analysis. In this paper, we propose a simple procedure towards experimentally determining both quantities for <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mml:mi>N<\/mml:mi><\/mml:math>-qubit pure states, based on the incomplete set of tight Bell inequalities. We show that the imprecision arising from this approach is of similar magnitude as the potential measurement errors. We also show that even with both a randomly chosen <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mml:mi>N<\/mml:mi><\/mml:math>-qubit pure state and randomly chosen measurement bases, a violation of local realism can be detected experimentally almost <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mml:mn>100<\/mml:mn><mml:mi mathvariant=\"normal\">%<\/mml:mi><\/mml:math> of the time. Among other applications, our work provides a feasible alternative for the witnessing of genuine multipartite entanglement without aligned reference frames.<\/jats:p>","DOI":"10.22331\/q-2021-04-14-430","type":"journal-article","created":{"date-parts":[[2021,4,14]],"date-time":"2021-04-14T08:54:42Z","timestamp":1618390482000},"page":"430","update-policy":"http:\/\/dx.doi.org\/10.22331\/q-crossmark-policy-page","source":"Crossref","is-referenced-by-count":9,"title":["Experimentally friendly approach towards nonlocal correlations in multisetting N-partite Bell scenarios"],"prefix":"10.22331","volume":"5","author":[{"given":"Artur","family":"Barasi\u0144ski","sequence":"first","affiliation":[{"name":"Institute of Theoretical Physics, Uniwersity of Wroclaw, Plac Maxa Borna 9, 50-204 Wroc\u0142aw, Poland"},{"name":"RCPTM, Joint Laboratory of Optics of Palack\u00fd University and Institute of Physics of CAS, Faculty of Science, Palack\u00fd University, 17. listopadu 12, 771 46 Olomouc, Czech Republic"}]},{"given":"Anton\u00edn","family":"\u010cernoch","sequence":"additional","affiliation":[{"name":"Institute of Physics of the Czech Academy of Sciences, Joint Laboratory of Optics of Palack\u00fd University and Institute of Physics of CAS, 17. listopadu 50A, 772 07 Olomouc, Czech Republic"}]},{"given":"Wies\u0142aw","family":"Laskowski","sequence":"additional","affiliation":[{"name":"Institute of Theoretical Physics and Astrophysics, Faculty of Mathematics, Physics and Informatics, University of Gda\u0144sk, 80-308 Gda\u0144sk, Poland"},{"name":"International Centre for Theory of Quantum Technologies, University of Gda\u0144sk, 80-308 Gda\u0144sk, Poland"}]},{"given":"Karel","family":"Lemr","sequence":"additional","affiliation":[{"name":"RCPTM, Joint Laboratory of Optics of Palack\u00fd University and Institute of Physics of CAS, Faculty of Science, Palack\u00fd University, 17. listopadu 12, 771 46 Olomouc, Czech Republic"}]},{"given":"Tam\u00e1s","family":"V\u00e9rtesi","sequence":"additional","affiliation":[{"name":"MTA Atomki Lend\u00fclet Quantum Correlations Research Group, Institute for Nuclear Research, P.O. 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