What property involves research methods producing similar results when applied by different researchers?

The property that involves research methods producing similar results when applied by different researchers is reliability. Reliability refers to the consistency of a research study or measuring test. If a study or measurement tool yields the same results under consistent conditions, it demonstrates reliability, which is essential for the credibility of any research.

In practical terms, if multiple researchers replicate an experiment or survey using the same methods and achieve similar outcomes, the findings are deemed reliable, suggesting that the results are dependable and not coincidental. This is crucial in social sciences and other research fields as it reinforces the generalizability of the findings.

The other terms do have their respective meanings but do not apply to the concept of achieving consistent results across different researchers. Validity pertains to whether a research method accurately measures what it claims to measure, trustworthiness relates to the quality and credibility of qualitative research, and falsifiability refers to the capability of a hypothesis to be proven false through evidence. Thus, reliability stands out as the property specifically related to consistency across different researchers' results.