How does xMII calculate a time weighted average?

I am in the process of doing data validation for tag query result sets from IP21 process data. The comparison is against an IP21 add in to Excel which generates numbers that don't correspond to the numbers generated by xMII. The add in appears to be generating values according to a Time Weighted Average but it is returning different numbers. The differences are not large, but it is a virtual certainty that a plant manager or process engineer will take issue. So we (I and my client) would like to know how to explain the difference in the calculation results. We suspect that it involves interpolation for missing data, but would like to know for sure. We are also checking the IP21 algorithm(s) to make sure we understand how it works. Any insight would be appreciated.

Rick/Jeremy,
I am still not getting the same values. My correlation testing is in Excel 2003. In xMII I have the number format set to 0.000000. Typical values in the result set are coming in with five decimal place accuracy. I am using one hour's data at 1 minute intervals with date accuracy to the second and the data is compressed to 52 actual datapoints. The time range is 11/07/2007 00:00:00 to 11/07/2007 01:00:00. It is in HistoryEvent mode. The row count is set to 20000.
When I run the TWA from xMII, I get 22773.576740.
When I ran my first algorithm in Excel, I get 22767.37321. When I made the change to what Rick said, I get closer but am still off and get 22769.35835. Can either of you (or anyone else) explain the delta? I have rerun both calculations twice on all three sides and get the same results.
Here is my data:
DateTime ActualValue
11/07/2007 00:00:01 23841.572266
11/07/2007 00:01:01 23608.240234
11/07/2007 00:02:01 23238.177734
11/07/2007 00:03:01 23373.197266
11/07/2007 00:04:01 23244.857422
11/07/2007 00:05:02 23408.943359
11/07/2007 00:06:01 23138.939453
11/07/2007 00:07:01 23325.080078
11/07/2007 00:08:01 23433.609375
11/07/2007 00:10:01 22783.115234
11/07/2007 00:11:01 22642.421875
11/07/2007 00:12:01 22226.654297
11/07/2007 00:13:01 22741.773438
11/07/2007 00:14:01 22611.898438
11/07/2007 00:16:01 22810.580078
11/07/2007 00:17:01 22404.023438
11/07/2007 00:18:01 22627.966797
11/07/2007 00:19:01 22672.619141
11/07/2007 00:20:02 22268.031250
11/07/2007 00:21:01 21770.136719
11/07/2007 00:22:01 22877.025391
11/07/2007 00:23:01 22565.330078
11/07/2007 00:24:01 22781.949219
11/07/2007 00:25:01 22324.345703
11/07/2007 00:26:01 22170.953125
11/07/2007 00:27:01 21960.464844
11/07/2007 00:30:01 22495.685547
11/07/2007 00:31:01 21899.714844
11/07/2007 00:32:01 22487.603516
11/07/2007 00:33:01 22723.382812
11/07/2007 00:34:01 22461.189453
11/07/2007 00:35:01 22823.869141
11/07/2007 00:36:01 22599.085938
11/07/2007 00:37:01 22902.572266
11/07/2007 00:41:01 22894.148438
11/07/2007 00:42:01 22724.144531
11/07/2007 00:43:01 22659.437500
11/07/2007 00:44:01 23105.324219
11/07/2007 00:45:01 22634.763672
11/07/2007 00:46:01 22929.582031
11/07/2007 00:47:01 22475.185547
11/07/2007 00:48:01 22739.755859
11/07/2007 00:50:01 22864.958984
11/07/2007 00:51:01 22556.917969
11/07/2007 00:52:01 22794.998047
11/07/2007 00:53:02 22934.748047
11/07/2007 00:54:01 23206.296875
11/07/2007 00:55:03 22412.509766
11/07/2007 00:56:02 22935.718750
11/07/2007 00:57:01 23924.460938
11/07/2007 00:58:01 22918.369141
11/07/2007 00:59:02 23048.748047
Message was edited by: MAppleby
Michael Appleby

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