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After the game, Hill brought up the concept of perceived velocity, a new measurement of an old idea gaining traction in sabermetric circles.
B. Standardized response rate indicating perceived velocity.
Differentiating perceived location with respect to time yielded a measure of continuous perceived velocity.
The perceived velocity evoked by two punctate tactile stimuli has yet to be measured experimentally.
Differentiating perceived location with respect to time yields perceived velocity for each of the actual self-motion conditions.
This resulted in expressions for perceived velocity, v' (the value of m at the mode of the posterior; Equation 3) and perceived ISD, l' (i.e., v't; Equation 1).
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The average perceived velocities were 1.56 m/s (±0.29) for the SW condition and 1.52 m/s (±0.31) for the BW condition.
Interestingly, the equation also predicts that real and perceived velocities will relate non-monotonically when IST is reduced at fixed ISD (Fig. 9A).
In this study, we demonstrate that under such conditions, the concrete slab can be assimilated to a thin plate; considering a Kelvin Voigt damping model, we introduce the notion of perceived propagation velocity, which decreases when the source-sensor distance increases.
There was no significant difference between average perceived self-velocity and actual self-velocity for SW or for BW (collapsed across the two path lengths; Figure 3a).
This is, of course, very different from our current conclusions based on calculated perceived self-velocity over the entire trajectory.
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