Two Plus Two Equals … Huh?

DC ParaTransit Info has been asked why we don’t trust the statistics WMATA publishes on their web site.  Outside of WMATA’s exclusion of complaints filed in the most logical place for riders to complain to, the simple fact is, their numbers literally don’t add up.

We know that WMATA disclaims their figures as being preliminary, but even their preliminary figures don’t add up, even allowing for rounding errors.  We ran basic math on their published figures, and easily found these discrepancies in the stated on-time performance total, based on the total statistics WMATA is making public:

Service Date On-time Trips Delivered Late Trips Excessively late trips Our on-time calc. Difference between WMATA on-time calc. and ours Unaccounted for trips
Tue, February 21, 2006 91.60% 4165 380 101 88.45% 3.15% 131
Sat, February 18, 2006 89.30% 1458 110 48 89.16% 0.14% 2
Fri, February 10, 2006 91.10% 4306 290 101 90.92% 0.18% 8
Thu, February 9, 2006 91.10% 4321 279 114 90.90% 0.20% 8
Wed, February 8, 2006 91.10% 4508 292 122 90.82% 0.28% 13
Mon, February 6, 2006 92.50% 4383 240 125 91.67% 0.83% 36
Sun, February 5, 2006 89.80% 1118 86 76 85.51% 4.29% 48
Sat, February 4, 2006 88.40% 1563 139 52 87.78% 0.62% 10
Fri, February 3, 2006 91.30% 4439 311 121 90.27% 1.03% 46
Tue, January 31, 2006 90.70% 4575 357 72 90.62% 0.08% 4
Mon, January 30, 2006 92.40% 4749 363 121 89.81% 2.59% 123
Sun, January 29, 2006 91.80% 1205 99 26 89.63% 2.17% 26
Sat, January 28, 2006 88.20% 1739 205 44 85.68% 2.52% 44
Fri, January 27, 2006 87.50% 4561 570 172 83.73% 3.77% 172

The MetroAccess computer should be able to produce at the end of the day the total number of trips, and the number of trips that were late pick-ups.  Those figures, posted by WMATA, should be solid.  Given those figures, it should be a simple matter to calculate the on-time performance (total number of trips – number of late trips – number of excessively late trips divided by the total number of trips).

When DC Paratransit Info plugged WMATA’s stated figures into a spreadsheet and ran that calculation, we found that most of the statistics, allowing for rounding errors, did come within 0.10% of the on-time performance WMATA was giving – except for those dates above.  In those cases, the math gives us much more different results than WMATA is giving.

We don’t know why the simple math to get the performance data doesn’t correspond to WMATA’s figures.  We only know that we end up with “missing” trips from the totals as a result of trying to reconcile their trip data with their performance estimate.

There could be several reasons why the numbers don’t add up, all of them innocuous.

  • There may be a criteria in the calculation that WMATA isn’t telling us about (although it would seem obvious that on-time performance would be a simple expression of total trips – late trips).
  • There may be data entry errors in the figures being published.
  • WMATA might be posting the “reconciled” on-time performance figure but not bothering to update the rest of the numbers for a day.

Whatever the reasoning, it highlights the fact that we cannot rely on the published figures WMATA is making available.  If WMATA is applying other factors to their calculation that they are not publicizing, it makes posting the figures as they have been a pointless exercise, because they are incomplete, making it impossible to independantly verify even the math WMATA is using.

WMATA is also, as far as we can tell, only posting trips completed.  There is no mention of any statistics for trips that MetroAccess does not complete, either because of rider no-shows, or more importantly MetroAccess no-shows.  Logically, the MetroAccess no-shows would be considered “excessively late”, but we have no way of knowing if they’re being included.  Could this be the source of the “missing” trips?

WMATA should be commended for starting to post the service performance figures.  But the figures on each row should match up.  Without knowing why they don’t, they become a pointless exercise, and untrustworthy.  If WMATA is serious about releasing data that proves the service is improving, it should provide accurate data, and the context to evaluate that data reliably.

Until then, we have no alternative but to continue to look on WMATA’s statistics as little more than a PR exercise.

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