You’ve lost me now. [General Sta­tis­tics]

posted by Helmut Homepage – Vienna, Austria, 2020-06-28 21:55 (781 d 00:19 ago) – Posting: # 21587
Views: 3,862

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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