Cumulative, MAD, and Signal

MAD

MAD supplies the scale for the tracking signal.

highlighted = computed this step

Absolute Errors

MAD averages absolute errors, so direction is removed before averaging.

MAD=average absolute error\text{MAD}=\text{average absolute error}
Cumulative errorsThe table exposes signed, cumulative, and absolute errors.cumulative error rowserrorcumulativeabsoluteperiod one222period two131period three-121period four242

MAD Value

The exact MAD is 3/2.

MAD=3/2\text{MAD}=3/2
Tracking metricsThe final cumulative error, MAD, and tracking signal are exact.tracking metricsvaluefinal cumulative4MAD3/2tracking signal8/3