[Philip 5/5/2014]
May we resume discussion of LCS III? I just got the book and I’m reading it and there’s some things I need to ask. I’ll soon be finishing my own book and I don’t want to leave anything important unaddressed (by the way, you guys are going to LOVE the applications I found for PCT)!
My first question is about what’s on page 25. What is the explanation of the anomalous correlation between mouse movements and the controlled variable being so low and the correlation between the mouse movement and the uncontrolled variables being so much higher? A correlation of 0.10 seems very strange because it’s not just small compared to the others, it’s anomalously small. Bill says it’s not usually as small as in figure 2-2, but what was Bill doing in that run that made it so small? I understand that if one we’re to look at the instantaneous direction of mouse movement and compare it to the instantaneous direction of aspect change in any given instant of time, then there might be a low correlation between the direction the mouse is moving in a single instant and the direction it should ideally be moving in at that instant - i.e. because the disturbance itself is unpredictable and whatnot, and we don’t predict our actions but only control the perception and so we’re technically allowed to perform sweeping error corrections over the time average. But then again, we’d be talking about two different things: instantaneous movement direction and instantaneous position. Am I shooting into the dark here?
Also, could you please explain to me the essential difference between “position vs disturbance”, “disturbance vs mouse”, and “position vs mouse”?
On a side note, looking at the position graph, there seems to be a relation between the mouse position and object aspect traces, in that it vaguely looks like the mouse position is a harmonic function about the object aspect (which is approximately a “straight line”). Am I just imagining things?
Phil
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