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In point of fact the picture in the lower right corner was showing exactly what you are complaining about. Systematic offsets that flip back and forth. It showed that even with that in play it is possible that two data sets can still behave in parallel to show equivalent trends
No, that is not what I am complaining about. Your random number generated model lacks one very important fact, on average over a month or a year, the two measures move the same direction. In your case that wouldn't be the case, they would move randomly.
The fact that there is no necessary correlation between points actually makes my point stronger. But even so it really isn't a bad example because all the data points were seeded to be normally distributed about the SAME VALUE with the SAME STANDARD DEVIATION. Ergo, in a sense, the only "differentiators" before I threw in the "offsets" were due to the random distribution around that mean and standard deviation.
No, it makes your case weaker, very much weaker. First off the daily temperatures differences are NOT randomly distributed, contrary to your claim. As I have shown over and over, there are offsets for years, where the predominance is that one town is hotter than the other and then the temperature difference will reverse. Your model doesn't capture that. As I said, you claim that your model matches reality it doesn't.
Secondly, Thau, you seem to be under the egotistical assumption that I came here to debate YOU. I didn't. I came here to show the crap raw data. YOu chose in one of your earliest posts to talk about what I would say and thus divert the thread. You want to talk about irrelevant pH in your lab and now you want to talk about an irrelevant model. Can't you actually talk about the the physics? of why is there a seasonal variation in the magnitude of the temperature difference between two nearby towns? Statistics ain't everything.
So, in fact, I have rather proven the point. It is also a direct analogue to the imaginary scenario you developed of two thermometers near each other but reading with "offsets".
Prove to me that your points averaged over 365 days would march in sync. They wouldn't and you know it.
What I developed here was a mathematically robust version of your example. The fact that you couldn't do that to make your point, I don't even begin to understand.
What you developed is self delusional.
Unfortunately you've run up against someone who can debate somewhat knowledgably about how data is dealt with in a real-world scientific manner.
No, I have not run up against anyone like that in you. I have run up against a person who would rather talk about everything except the data--1. what I would argue. 2. pH in your lab. 3. A useless non-representative model.
Unfortunately you cannot "bully" statistics. They are what they are.
And you can't seem to get it through your head that when there is a 4 deg error bar you can't claim that the world has warmed by 1.1 degree. Your lack of knowledge of that very fundamental statistical point is telling of your knowledge.
But, don't be egotistical. I have never claimed that I came here to debate you. At every point I have told you that I wouldn't let you divert me. And I won't. If you say something interesting then I might comment. Otherwise your stuff is not very interesting.
Would you care to explain why every winter the temperature differences between Monticello and Brookhaven City MS increase in magnitude? Statistics can't answer this question, Thau. Don't hide behind the skirt of statistics cause it won't help you.
Care to explain this? Nah, I didn't think so.

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