One problem I'm seeing is that Montgomery took the absolute value of the difference-from-present-value of c without taking into account the error bars. The error bars can give us a good picture of the relative importance to put on the measurement errors.
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The major problems with error bars would be a demonstration of bias in the instrument and the number of data points. Montgomery dealt with both these issues.
Even in the more recent part of your graph, the trend is evident.
The question then becomes, what is the degree of significance? Clearly the data shows significance. But, a certain degree of probability is required. 95% is a lot of significance, understabably. Since I am not in charge of publishing on science or reviewing a doctoral thesis, I would find 75% interesting.
I am not sure where your reworking of the data would go in this respect or what dolphin found, though he reported that the trend remained every after including all the data.
That the curve approaches a sin wave, with us on the thin end, is maybe grounds for questions and the need to retest. I have a hard time finding that it is worthy of incredulity. There is a trend. As you can probably see from the website, many responses have been simply incredulous, if not nasty, and lacked the more even tone of your posts in this thread. SInce, this has been a continuing problem.
The essenence of what we are dealing with is a theory built upon a number of different bodies of evidence.
Planck's constant, light speed, red shift are part and parcel of the theory.
Part of the problem of dealing with this theory is its breath and the subject matter. In a prior post, you questioned Setterfield's model for the behavior or tachyon pairs, which is an elusive "substance." That's fine.
But, by the same token, physicists are quite tolerant of discussions about things like string theory. Most of what I have read about it is poetry. (Some of it Vogon poetry, I might add.) By the nature of its subject, it necessarily messes with the distinction between calculations and metaphors. What else would you expect of 4+ dimensional physics? I would submit that this is at least, no less crazy.
That the subject matter is larger (ie, alternate explanations for the appearance of all matter) is again the philosical discussion we visited about the Big Bang. I find enough inherent speculation in this field to seat many a theorist at the table.
My simple mathemtical understanding of how an average works also just brings me back to how we view error bars. Your argument may be a valid question of weight. And the size of the error bar may raise a question about bias in the instrument.
But, as Montgomery notes, apparently lots of different instruments have a similar bias. This does not eliminate your argument going to the weight of the data, but it does respond to it.
Quite honestly, I don't understand it well enough to accept it as proof of YEC. I think it has really opened up a lot of questions about conventional science and allowed us YEC guys to put a finer point on lots of our objections to TE and atheistic naturalism. That being said, it is the scientific model I like best and that I believe most. However, I take myself less seriously all the time and am thankful for the freedom to be able be that way.
As for the literal words of Gen. 1,2,3, I just accept that as reality, even the parts I don't understand.