Message-ID: <CAB8pepzvvpvwu15=6cOQSyAUKUEhapYsnHAt2AGPage6Zx9dKQ@mail.gmail.com>
Date: 2020-08-22T23:52:17Z
From: Abby Spurdle
Subject: on the growth of standard error
In-Reply-To: <86mu2neogt.fsf-8018@protonmail.com>
> The absolute
> value of e grows as L grows, but by how much? It seems statistical
> theory claims it grow by an order of the square root of L.
Assuming you want the standard deviation for the number of successes,
given p=0.5:
#exact
0.5 * sqrt (n)
#numerical approximation
sd (rbinom (1e6, n, 0.5) )
Note that variance should be linear in n.