You’ve lost me now. [General Sta­tis­tics]

posted by Helmut Homepage – Vienna, Austria, 2020-06-28 23:55 (1838 d 01:18 ago) – Posting: # 21587
Views: 8,090

Hi ElMaestro,

❝ Let us go over it again:

❝ Let x be our sample.

❝ Let f(x|other shit) be a function of x, given some other shit.

❝ Let g(x|other shit) be another function of x, given the same other shit.


Like this (or any other funny transformation)?

other.shit <- function(x, funny) {
  eval(funny)
}
x <- rnorm(100, mean = 100, sd = 20)
f <- other.shit(x, funny = x^2)
g <- other.shit(x, funny = sqrt(x))
cor(f, g)
plot(f, g, las = 1, xlab = "f(x)", ylab = "g(x)")


❝ In general (and ideally layman's) terms, what properties of f and g would lead me to think f and g are independent.

❝

❝ I assume it is implied that we are talking about independence from each other, at least when we try and think of f and g as numerators and denominators of the quantity defining t above. When this is the wrong perception, kindly correct me, please.


Completely confused. Can you try again, please?
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