Barely Significant
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The joint Simon effect depends on perceived agency, but not intentionality, of the alternative action.

Front Hum Neurosci · 2014 · PMC4122204 · PMID 25140144

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highly significantno p-value reported
When the participant and the co-actor both acted intentionally and physical causality could be perceived the JSE was highly significant, whereas no JSE was observed when the co-actor did not respond intentionally and physical causality was disrupted.

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