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I read on AvWeb today the '05 Nall Report is out, and apparently 2004
was a historic low for aviation accidents. This led me to question what next year's report will look like after considering the spate of GA accidents that we've all read about in the last year or so. Maybe it's just a question of perception? Or, are pilots just getting too complacent when they strap into their aircraft? |
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I read on AvWeb today the '05 Nall Report is out, and apparently 2004
was a historic low for aviation accidents. This led me to question what next year's report will look like after considering the spate of GA accidents that we've all read about in the last year or so. Maybe it's just a question of perception? Or, are pilots just getting too complacent when they strap into their aircraft? Or maybe it's just a statistical artifact. Shift a few accidents from December to January, and shift a few others from next January to this December, and you have a banner year for airplane crashes caused simply by the artificial boundaries of the sample set. Sometimes random events cluster for no reason. In fact, it is highly unlikely that they would =not= cluster. Jose -- Money: what you need when you run out of brains. for Email, make the obvious change in the address. |
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On Thu, 09 Mar 2006 16:16:53 GMT, Jose
wrote: I read on AvWeb today the '05 Nall Report is out, and apparently 2004 was a historic low for aviation accidents. This led me to question what next year's report will look like after considering the spate of GA accidents that we've all read about in the last year or so. Maybe it's just a question of perception? Or, are pilots just getting too complacent when they strap into their aircraft? Or maybe it's just a statistical artifact. Shift a few accidents from December to January, and shift a few others from next January to this December, and you have a banner year for airplane crashes caused simply by the artificial boundaries of the sample set. Sometimes random events cluster for no reason. In fact, it is highly unlikely that they would =not= cluster. Fer shure. Folks should google "Texas Sharpshooter Fallacy." Don |
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Or maybe it's just a statistical artifact. Shift a few accidents from
December to January, and shift a few others from next January to this December, and you have a banner year for airplane crashes caused simply by the artificial boundaries of the sample set. Sometimes random events cluster for no reason. In fact, it is highly unlikely that they would =not= cluster. Jose True. From this post and others, I can see that you have a background in the science of probability, since you are suggesting that the YOY changes may not be statistically relevant. I haven't yet read the new Nall report, but I did notice that it is based upon estimated number of hours flown, per the FAA. No one (here) seems to question or even want to see the assumptions on the number of hours flown. Do you know how this number is estimated? What is curious to me is that when I previously posted the data (from BTS) about aviation subsidies (by sector)based on hours flown, many people howled that no one could possibly know how many GA hours are actually flown. They used that to dismiss the idea that GA is heavily subsidized. But the Nall study is accepted as science. |
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I haven't yet read the new Nall report, but I did notice that it is based
upon estimated number of hours flown, per the FAA. No one (here) seems to question or even want to see the assumptions on the number of hours flown. Do you know how this number is estimated? What is curious to me is that when I previously posted the data (from BTS) about aviation subsidies (by sector)based on hours flown, many people howled that no one could possibly know how many GA hours are actually flown. They used that to dismiss the idea that GA is heavily subsidized. But the Nall study is accepted as science. I don't know how the number is estimated, but in your two examples the number is being used in two different ways, and that's an important difference. In the case of the Nall report (which I have not read), the item in question is a trend or cluster (or lack thereof). The necessary key assumption about GA hours is that there be consistancy across the data sample being used. Systematic error in the number is not anywhere near as important, since the trends would still show (or not). Systematic error would tend to cancel out, while random error would not. (Indeed, random error is what causes the illusion of clusters). In the case of subsidies, the =actual= number is important. We are not looking at trends, but rather, whether a certain value is (or is not) greater than zero. To that end, random error would tend to cancel out, and systematic error would propagate. (For those unfamiliar with the terms, systematic error is an error introduced by a deficiency in the method of measurement (for example, using a ruler that is too short). It will be the same error every time you do a measurement. Random error is an error introduced by the slop in the measurement (for example, using a ruler that changes size with temperature, and measuring on several different days). This error will tend to be different for each measurement. It is similar to the difference between "accuracy" and "precision".) Jose -- Money: what you need when you run out of brains. for Email, make the obvious change in the address. |
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I don't know how the number is estimated, but in your two examples the
number is being used in two different ways, and that's an important difference. In the case of the Nall report (which I have not read), the item in question is a trend or cluster (or lack thereof). The necessary key assumption about GA hours is that there be consistancy across the data sample being used. Systematic error in the number is not anywhere near as important, since the trends would still show (or not). Systematic error would tend to cancel out, while random error would not. (Indeed, random error is what causes the illusion of clusters). In the case of subsidies, the =actual= number is important. We are not looking at trends, but rather, whether a certain value is (or is not) greater than zero. To that end, random error would tend to cancel out, and systematic error would propagate. True that sampling errors would tend to cancel out in the trend analysis that Nall uses if the estimating method is statistically valid (truly random sample, sufficient sample size, etc) and that the BTS number is a point in time estimate of the subsidy. Meaning that there is standard deviation around the subsidy per hour flown -- the BTS study might have provided a range for the subsidy. But I find it interesting that a key assumption underlying both studies is questioned in one case, but accepted in the other. |
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But I find it interesting that a key assumption underlying both studies is
questioned in one case, but accepted in the other. The key assumption in one case is that the numbers are consistent, in the other that they are accurate. True that sampling errors would tend to cancel out in the trend analysis That's not what I'm saying. I'm saying that the =systematic= errors would cancel out for the accident study. That is, suppose that the GA figures are 50% higher than would be accurate. If that 50% figure is carried throughout the study duration, you will still see (or not see) the same clusterings of accidents. The actual =number= of accidents per mile flow will be different, of course, but the existance and location (in time) of the clusters will be the same. Were one to attempt to derive a "safety figure" from the numbers, your objection would be valid. But to just see "this year seemed better by 45% than last year) the systematic error would mostly cancel out (except in the case of some pathological cases one could come up with). Systematic and random error are two totally different beasts. Jose -- Money: what you need when you run out of brains. for Email, make the obvious change in the address. |
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"Skylune" wrote in message
lkaboutaviation.com... I haven't yet read the new Nall report, but I did notice that it is based upon estimated number of hours flown, per the FAA. No one (here) seems to question or even want to see the assumptions on the number of hours flown. Do you know how this number is estimated? "GA flight hours are estimated using data from an annual aircraft activity survey conducted by the FAA. Whether this survey accurately reports the total hours has been debated for years, but even with likely inaccuracies, the relationships between accident categories will remain constant." --2005 Nall Report --Gary |
#9
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Clustering can reduce the rate for one year and elevate it for another
year. However, the report shows that accident rates have been declining for the past 10 years, which is a significant point. Jose wrote: I read on AvWeb today the '05 Nall Report is out, and apparently 2004 was a historic low for aviation accidents. This led me to question what next year's report will look like after considering the spate of GA accidents that we've all read about in the last year or so. Maybe it's just a question of perception? Or, are pilots just getting too complacent when they strap into their aircraft? Or maybe it's just a statistical artifact. Shift a few accidents from December to January, and shift a few others from next January to this December, and you have a banner year for airplane crashes caused simply by the artificial boundaries of the sample set. Sometimes random events cluster for no reason. In fact, it is highly unlikely that they would =not= cluster. Jose -- Money: what you need when you run out of brains. for Email, make the obvious change in the address. |
#10
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Andrew wrote:
Clustering can reduce the rate for one year and elevate it for another year. Right, Jose mentioned this in his reply to my OP However, the report shows that accident rates have been declining for the past 10 years, which is a significant point That IS good news. I'm curious to see how/if '05 follows to the overall trend. |
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