I believe that the guiding principles of testing "the quality" of empirical studies depend on the underlying philosophy of research, namely in positivism (quantitative) the principles are generalization, validity and reliability; whereas in constructivism (qualitative) its best to use Guba’s constructs that correspond to the criteria employed by the positivist investigator:
a) credibility (in preference to internal validity);
b) transferability (in preference to external validity/generalisability); c) dependability (in preference to reliability);
d) confirmability (in preference to objectivity)
A text that is widely used:
Creswell, J. W. (2013). Research design: Qualitative, quantitative, and mixed methods approaches. Sage Publications, Incorporated.
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