Hi Blogs,
>When I saw the origonal plots I wondered about the standard errors of these estimates.
>I think its under appreciated how noisy these numbers can be when only 1 or 2 tests are run under any set of parameters.
Roger on the noise :-)
Since the 5 data points from full throttle height up are not repetitions of the same experiments, I couldn't really determine the standard deviation. (OK, it's infinite, but that's no help :-)
If (remembering that it actually isn't correct!) you consider them repetitions of the same experiment and for example figure just the difference to the "5.4.43" graph, the standard deviation is 13.3 km/h. If you discount the 10 km value, it's still 11.4 km/h.
Of course, that wouldn't be the proper way to do a real experiment. The proper way is formulating a hypothesis on the relation of altitude and speed, determining the pivotal constants (like drag coefficients), and then using the experiment to find out the value of these constants along with their standard deviation.
A speed curve determined in accordance with scientific procedures wouldn't just be a curve fitted between a set of measured points, but actually a completely fictional curve entirely based on a calculation using the constants derived from the tests. This curve has an homogenous error as all points of it are based on the same constant (complete with its error).
It's a common misunderstanding that measured data is superior to calculated data. The FAF example shows that measured data can be subject to a considerable random error.
Fortunately, the low-altitude data is good enough to determine the drag coefficients, so it's possible to calculate the high-altitude performance from these values, ignoring the high-altitude measurements completely :-)
>U.S. engine makers always distributed power curves with a disclaimer of 5%...
No "I want my money back" that way ;-)
NACA actually pointed out that often, speed tests are based on the assumption that the engine performs up to specifications without actually checking whether that's actually correct, so that comparisons between different test aircraft of the same type with the same engine model could lead to wrong conclusions about the effects of aerodynamic changes.
(That's another reason why calculated data, based on a standard power graph, can beat measured data - which typically shows speeds achieved on an unknown power output.)
Regards,
Henning (HoHun)