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JulienLe said..
To put some perspective in this, the difference between his three correct devices on the 5 best 10s are:
0.02kn
0.03kn
0.01kn
0.01kn
0.01kn
And on a competition-used average, 500m, differences are:
0.01kn
0.01kn
0.01kn
0.01kn
0.01kn
And to emphasise that perspective: 0.01 knots, said another way, is 1 hundredth of a Knot!!!
Are even the Camera Gates used in 500m WSSRC record attempts and competitions capable of a better order of accuracy?
Can some mathematical prodigy please work out the distance difference for us of 1 hundredth of a knot traveling at at 40 and 50 knots?

It is true that using the least squares error calculation, we sometimes see two side by side 10Hz Motion/Ublox based devices giving results for the NM that fall outside the reported error margin by a few thousandths of a knot! I admit this bothered me at first as it could indicate that there was actually some random error in the data that was not accounted for by the sAcc computation.
Two things eased my mind:
1. The difference in the speed calculation was very very small. In the order of 5-10
thousandths of a Knot.
If this was an indication of some unaccounted for 'random' error, then it is still very small and insignificant for our results anyhow.
2. In a recent conversation with Mal Wright, he pointed out to me that this may well easily be accounted for by
rounding in the data . The mention of that bought back a lot of distant memories of this very thing we struggled with when we first started using positional data from the original Garmin Foretrex and Etrex devices around 2003-2005. Those devices could only report position to a limited number of decimal places. This in effect meant that when you zoomed right in the meter level on a positional speed track, we found that each point was on the corner of a grid with dimension in the order of (from memory approximately) 1.6m by 2.4m at our latitude (38?S) This 'Grid Effect' as I labeled it, added speed to the calculated speeds by making the plotted speed path slightly zig-Zagged. (although to be fair, that component of error was not of great significance compared with other inherent errors of using positional data to calculate speed). i cant easily find an example of that for the Garmin Devices, but I found this one on this computer from a 5Hz chip we tested some time later. In this example, the dotted grid lines are 1m. The grid effect here, from a geostationary test, is in the order of 20cm's.

When the GT-11 came along, we gained something like double the number decimal places in the positional calculation and the 'Grid Effect' diminished to the order of cm, or sub cm better than the illustration above, and into relative insignificance.
So this is a long winded way to illustrate 'rounding'. Mal reasons that, in all the thousands of computer calculations that go into every 1 or 2 tenths of a second data point, there is bound to be somewhere, some limited resolution (limited number of decimal places) in each figure used, which necessarily means that there is a rounding error that can accumulate. Of course, these rounding errors themselves can tend to cancel each other out over time, but there remains the possibility of a certain variable amount of rounding error.
Two interesting observations from my recent session illustrated here:

This NM comparison is actually well within the least squares calculated error margins of 15/1000ths Knots and 18/1000ths Knots. The difference between the two results is only 6/1000ths Knots. For all our practical purposes, that is an absolutely insignificant difference, and I might add, it shows just how potentially accurate this device can be.
But then I noticed the 1Hr results. The difference between the two calculations is 0.001 Kts. One thousandth of a Knot.
The calculated error margin is reported in the software as 0.003 Kts. But this seems to be the limit of what can be reported by this system. I cant remember ever seeing a calculated error number below 0.003 Knots. That seems to be the limit of the resolution available to us.
I hasten to add that I have not always seen 1Hr side by side results this small. You may find some, but I would be surprised if they exceed 100th of a knot. I'll look through a few more sessions to see if I can find some.
And just for interest. Have a gander at the distance calculation in this example. Over 70.96 KM, there is only 3 meters difference. That one actually surprised me.
I'm not going to give any specific conclusions from these observations, except to say that even using least squares error calculation and sometimes seeing a difference between the NM results outside the error difference margin, the magnitude of that difference is so small as to be of insignificant consequence to us. And does not seem to support an argument that there is something inherently wrong with using the least squares error calculation.
The important thing is to get low error numbers for the individual data points