Does " on the part of participants" mean "which had to be carried out by participants"?

Context:

Timing intentions compared to actions[http://en.wikipedia.org/w/index.php?title=Neuroscience_of_free_will&action=edit§ion=7 | editbeta]

A study by Masao Matsuhashi and Mark Hallett,^[26] published in 2008, claims to have replicated Libet's findings without relying on subjective report or clock memorization on the part of participants. The authors believe that their method can identify the time (T) at which a subject becomes aware of her own movement. Matsuhashi and Hallet argue that this time not only varies, but often occurs after early phases of movement genesis have already begun (as measured by the http://en.wikipedia.org/wiki/Readiness_potential). They conclude that a person's awareness cannot be the cause of movement, and may instead only notice the movement.