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#1
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Michael Daly wrote:
On 16-Jun-2005, Peter wrote: Your previous statement: "there is no correlation between overall length and waterline length in kayaks" From a perspective of useful information, that is still true. No, it clearly was never true. Even taking the subset of kayaks you chose, you calculated a correlation coefficient of 0.79 indicating a very high level of correlation. If all kayak types were included the correlation would be even higher. You can argue semantics all you want, but sea kayak lengths (LOA and/or LWL) are all over the place. made no such distinction that it only applied to some set of kayaks that all had about the same length, nor was it limited to sea kayaks. But for the fact that the discussion is about sea kayaks. I guess you just forgot. Naturally the correlation coefficient will be less if you restrict the kayaks under consideration to ones with fairly similar lengths (all but one in the range from 16' to 19'). In a more complete list with play boats, WW boats, surfskis, etc. also included the coefficient would be much higher. WW boats? You're joking, right? They have even more variation in LOA vs LWL. Not joking at all. In a compilation of all kayaks, the play boats and WW boats will have short LOA and LWL figures, the surfskis will have long LOA and LWL figures, and sea kayaks will come in in between. The overall correlation coefficient between LOA and LWL will be very high. I made no such restriction on lengths, I merely took the data that was available and since we are discussing se kayaks, that's the data I used. It still remains that overall length is not a useful indicator of performance. I have two sea kayaks. One has an overall length of 11' 8" and the other has an overall length of 17' 6". I bet you can tell already which one has a higher top speed - and you'd be right. Seems to be a pretty useful indicator. In the particular case of the two kayaks considered by the OP, their lengths only differed by about 2' but the hull shapes appear to be quite similar with no obvious difference in overhang. Therefore it's highly likely that the Biscyne which is longer overall will also have a longer waterline length. |
#2
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![]() On 16-Jun-2005, Peter wrote: No, it clearly was never true. Even taking the subset of kayaks you chose, you calculated a correlation coefficient of 0.79 indicating a very high level of correlation. Not high enough and nowhere near the level you claimed without any proof. The _fact_ is that at that level, the differences in overall length between two kayaks are comparable to the differences in overall length and waterline length in one kayak. Clearly a much higher level of correlation is required than 0.79. In this case, the mathematic definition of correlation has to take a back seat to the more pragmatic need to produce information that is of some value. If all kayak types were included the correlation would be even higher. Your claim - how about something resembling proof? Your last guess of 0.95 was based on nothing. In the particular case of the two kayaks considered by the OP, their lengths only differed by about 2' but the hull shapes appear to be quite similar with no obvious difference in overhang. Therefore it's highly likely that the Biscyne which is longer overall will also have a longer waterline length. Even if it does have a longer waterline length, that still does not guarantee that the speed is higher. Hydrodynamics trumps simple geometric parameters. How about offering something of value instead of simply trying to not-pick? Like offering some data that actually backs up you ludicrous claim that what I am saying is false. Mike |
#3
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Michael Daly wrote:
Like offering some data that actually backs up you ludicrous claim that what I am saying is false. You already provided it yourself. After first making the claim that there was "no correlation" between LOA and LWL, you later provided data indicating that the correlation was 0.79 which clearly showed your initial statement to be false. QED. |
#4
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![]() On 17-Jun-2005, Peter wrote: You already provided it yourself. After first making the claim that there was "no correlation" between LOA and LWL, you later provided data indicating that the correlation was 0.79 which clearly showed your initial statement to be false. QED I've already addressed that - the correlation is not sufficient to allow for prediction of performance. You are ignoring that _fact_. As a further indicator of the relevance of LOA as an indicator of performance, let's look at the correlation between the lengths and the drag for the kayaks already presented. Correlation coefficient, LOA vs Drag: -0.35 Correlation coefficient, LWL vs Drag: -0.69 Clearly, an intelligent person would not use LOA as an indicator of performance. This further shows that the correlation between LOA and LWL is insufficiently high. It also shows that other factors beyond just length dictate drag, otherwise the coefficient for LWL vs drag would be higher. For cranky ol' rick, I'll get to other factors later. Mike |
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