[EMAIL PROTECTED] wrote:
> Gus,
>
> You refused to show your cards (explain your data) and now you are blaming
> the victim of your fraud. You appear to be sufficiently threatened to act
> like a conman in front of all the people on this newslist. If you are not
> threatened by the truth, explain the data. I wasted a lot of time with Steve
> because he did not bother to tell us the data he interpreted were
> inappropriate. That was deception. It was important enough to him to claim
> victory that he would cheat. You are doing the same thing. Put up or shut
> up.
That's bullshit, and you know it.
I described the method to you in gory detail, but let's state it one more time,
for the record: I generate x1 and x2 uniformly on [-1, 1] and compute y = x1 +
x2.
Thus y is caused by x1 and x2, and y is the effect. You seem not to agree
with this statement, argiung that it somehow depends on the actual data
I give you. I can't agree with your position on this.
Next I construct a grid over [-0.5,+0.5] x [-0.5, +0.5]. The grid is a square
grid or, yes, equal-sized smaller squares, of any size. I originally placed a
100x100 grid, but it works just as well with a 10 x 10 grid. The way I look
at it, if I can get one point in each of the cells of the grid, then the random
variables are reasonably close to a two-dimensional uniform distribution.
(Since the gridsize can be varied, I can make the agreement with a true
uniform distribution as close as possible.)
While generating x1 and x2 I keep track of the pairs (x2,y) that fall into the
areas of my grid and I keep the first such pair in each small square. I also
store the corresponding x1. I continue until the entire grid has been filled.
I am not going to give you the data a third time, but let's look at what
I end up with: A distribution of triples (x1, x2, y) that
- are uniformly distributed in (x2, y)
- therefore satisfy the CR relations
- were generated in such a way that y is an effect, not a cause.
The conclusion is simple: Without knowing what the data represent,
you cannot _correctly_ infer causation.
.
.
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