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Design and Usability of a Home Telerehabilitation System to Train ...

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Table 1: Performance scores<br />

T = target trajec<strong>to</strong>ry, X = response trajec<strong>to</strong>ry, N = number <strong>of</strong> data points in record<br />

Metric <strong>and</strong> Name Computation Algorithm Interpretation<br />

E = Total Error = RMS Error<br />

1 / 2<br />

⎛ 1<br />

2 ⎞<br />

⎜ ∑( X i − Ti<br />

) ⎟<br />

⎝ N<br />

⎠<br />

RMS error between response <strong>and</strong><br />

target.<br />

CE = Constant Error = Average<br />

Error<br />

1<br />

∑( X i − Ti<br />

)<br />

N<br />

Average error between response<br />

<strong>and</strong> target. Reveals bias above or<br />

below target.<br />

VE = Variable Error = St<strong>and</strong>ard<br />

Deviation<br />

1/<br />

2<br />

⎛ 1<br />

2 ⎞<br />

⎜ ∑(<br />

X i − Ti<br />

− CE)<br />

⎟<br />

⎝ N<br />

⎠<br />

St<strong>and</strong>ard deviation <strong>of</strong> the<br />

response about the bias. Measure<br />

the spread <strong>of</strong> the response.<br />

CE/VE CE / VE<br />

>1 for response far from target<br />

but consistent, 0 means response lags target.<br />

Fade (First half RMS)/(Last half RMS) > 1 means response getting<br />

smaller as trial proceeds.<br />

Frequency (Zero crossings <strong>of</strong><br />

Large score means subject has<br />

response)/(Zero crossings <strong>of</strong><br />

target)<br />

tremor.<br />

Track-JBiomechEng.doc Page 30 <strong>of</strong> 31

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