Remember, the BBN’s claim that they found gunshots recorded does not rest on them finding sound impulses on the recording. There are sound impulses throughout the recording. This claim solely rests on the correlations found between their 1978 firing tests and the 1963 Dictabelt recording. So, their claim rests on the strength of Exhibit F-367, a table of all found correlations. Do these correlations seem good? Do they contradict themselves? Do they make sense?
How to Analyze Data. How to recognize random data.
Let’s say the BBN analyzed all the found correlations and produced a table of them and ended up something like this:
********** False Table used only to make a point **********
Shot 1: from-TSBD fired-at-Target-1 correlation:9
Shot 1: from-KNOLL fired-at-Target-3 correlation:6
Shot 1: from-TSBD fired-at-Target-3 correlation:7
Shot 2: from-TSBD fired-at-Target-1 correlation:7
Shot 2: from-KNOLL fired-at-Target-2 correlation:9
We have correlations that contradict each other. We find correlations that match the first shot with a test shot from the TSBD and the KNOLL. Does this mean the data is bad? That we may be looking at random data?
No necessarily. It may mean we have set our correlation threshold too low. Allowing us to find some correlations that are real, but also others that are not, just due to a fluke. Setting the correlation threshold too low collects the good correlations but will also collect the false correlations. So, the next thing to do is select a higher correlation, like 9, and see what that gives us:
********** False Table used only to make a point **********
Shot 1: from-TSBD fired-at-Target-1 correlation:9
Shot 2: from-KNOLL fired-at-Target-2 correlation:9
This is much better. We don’t have any correlations that contradict each other. If we had such a table for 4 shots, and they were consistent with
BOTH the location of the microphone and the location of the target, then we may have good data. It would meet the minimum qualifications.
For the real BBN data from Exhibit F-367 we have correlations that contradict each other. For 3 of the 5 shots, correlations are found for both a shot from the TSBD and a shot from the Grassy Knoll. Clearly, we have the correlation threshold set too low. The only way to eliminate the contradictions is to raise the threshold from 6 to 8. If this is done, we get:
********** The real data, with the correlation threshold set at 8 **********
Test | Beginning Time of | Zap. | Zap. | Microphone Array | Rifle | Target | Correlation | Strong | Fluke |
ID | First impulse on | Frame | Frame | and | Location | Location | Coefficient** |
| Tape Segments (sec) | BBN | Thomas | (Channel Numbers) |
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B | 137.70 | 168 | 176 | 2 ( 5 ) | TSBD* | 1 | 0.8 | Strong |
D | 137.70 | 168 | 176 | 2 ( 6 ) | TSBD | 3 | 0.8 | Strong | Fluke |
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G | 139.27 | 196 | 205 | 2 ( 6 ) | TSBD* | 3 | 0.8 | Strong |
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L | 145.15 | 304 | 313 | 3 ( 4 ) | KNOLL | 3 | 0.8 | Strong |
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O | 145.61 | 313 | 321 | 3 ( 5 ) | TSBD | 3 | 0.8 | Strong | Fluke |
P | 145.61 | 313 | 321 | 3 ( 6 ) | TSBD | 4 | 0.8 | Strong |
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First of all, it was necessary to eliminate the Dr. Thomas shot. The problem was not that it only had one correlation to support it. That was actually a good thing. The problem was its correlation was too low, at 6. It should have a stronger correlation of 8, like all our remaining strong candidates
But even these ‘strong’ candidates have problems.
For the first shot, we have a contradiction. We found correlations for both a shot at Target 1 and Target 3. Those targets are over one hundred feet apart. And only a result of Target 1 makes sense for such an early shot. In any case, a correlation of 8 is still not high enough to eliminate all the random correlations.
Also, for the first shot, if one argues the waveform would be similar for both Target 1 and 3, why did the BBN test firing at different targets? Why not just use the same target if the target location makes little or no difference? Clearly, they thought that it would make a difference. And why didn’t they get a strong correlation for Target 2 when it was tried. Strong correlation for Targets 1 and 3, but not for Target 2 which was in between? It looks like random results.
For the second shot, we have no contradictions. We found one correlation which is good. Ideal really, But the correlation found is for Target 3. It should have been found for only Target 1 or 2, or both, since the limousine would have been between both targets. But not at Target 3. Why would they get a strong correlation for Target 3 but not for Target 1 or 2? It looks like we got another random match. A correlation of 8 is still not high enough to eliminate all the random correlations.
For the third shot, no problem. Only one correlation found, which is ideal. A shot at Target 3, which is good, right where the limousine should be. If only the other shots had no clearly random results.
For the fourth shot, we have contradictions. Correlation with both Target 3 and 4, which are 240 feet apart. We should only find a correlation for Target 3. Again, a correlation of 8 is still not high enough to eliminate all the random correlations.
At this stage we should try setting the correlation threshold higher. But we can’t. The highest correlation in the data is 0.8. If we set it any higher, we have no more correlations.
This data looks like random data, particularly with the correlation threshold set at 6.
The Target locations seem random and do not track the real limousine location. Only 4 of 15 correlations give good Target locations, which is no better than random luck.
The shooter locations contradict themselves, with 3 of the 5 shots matching test shots from both the TSBD and the Grassy Knoll. In the 1978 12 test shots, 67 percent of the shots came from the TSBD and a similar 80 percent of the correlations were from the TSBD. This again looks like it could be random data.
Only the motorcycle location seems good, if the data is cherry-picked. But this may also be a factor of the BBN only checking the areas where the motorcycle could be, if travelling at a steady 11 mph. Naturally, any correlation found would match that of a motorcycle moving at a steady 11 mph.
If the data looks random, that is a fatal flaw. Writing up a bunch of words like the BBN did in their report is like putting lipstick on a pig. The BBN case stands or falls with F-367. And it falls.
Mr. Griffith will try to draw the readers attention away from BBN’s Exhibit F-367. Or if he does deal with it, he will only want to discuss the motorcycle position correlation, which may be a result of which data the BBN decided to analyze. He won’t want to talk about the correlations dealing with the shooter location or the Target location. And not discuss why a correlation of only 6, the Dr. Thomas shot, should be taken seriously.
Let’s see if he can use Table F-367 to defend Table F-367.