The tonic vibration reflex (TVR), a reflexive muscle contraction resulting from muscle or tendon vibration, is a useful tool in assessing spinal motoneuron excitability, particularly in hyperexcitable conditions, such as in chronic hemiparetic stroke. The influence of experimental parameters, for example the type of vibratory stimulus and limb configuration, and their interactions on the TVR response in chronic stroke is unknown, yet this knowledge is crucial for designing experiments with reliable TVR responses. Therefore, we conducted a screening experiment of six potential driving factors affecting the TVR response, with a D-optimal split plot fractional design matrix consisting of thirty-two combinations for each of the four participants with chronic hemiparetic stroke. Our results suggest that pre-vibration muscle activation level, vibration frequency, and stimulus application force, are all significant contributors to the TVR response in chronic hemiparetic stroke, along with an interaction between elbow flexion angle and muscle activity level. This investigation highlights the sensitivity of the TVR response in chronic hemiparetic stroke and motivates future designed experiments in understanding this reflex as it relates to motoneuron excitability.