The Analysis of Biological Data
2nd Edition
ISBN: 9781936221486
Author: Michael C. Whitlock, Dolph Schluter
Publisher: W. H. Freeman
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Chapter 6, Problem 13PP
To determine
To conduct the hypothesis test for testing that rate is equal to 1.
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1 for all k, and set o
(ii) Let X1, X2,
that P(Xkb) =
x > 0.
Xn be independent random variables with mean 0, suppose
=
and
Var Xk. Then, for
0x) ≤2 exp-tx+121
Στ
k=1
Lemma 1.1 Suppose that g is a non-negative, non-decreasing function such that
E g(X) 0. Then,
E g(|X|)
P(|X|> x) ≤
g(x)
Proof of this Theorem
Theorem 1.2 (i) Suppose that P(|X| ≤ b) = 1 for some b > 0, that E X = 0, and
set Var X = o². Then, for 0 0,
P(X > x) ≤ e−1x+1²²,
P(|X|> x) ≤ 2e−x+1² 0²
Chapter 6 Solutions
The Analysis of Biological Data
Ch. 6 - Prob. 1PPCh. 6 - Prob. 2PPCh. 6 - Prob. 3PPCh. 6 - Prob. 4PPCh. 6 - Prob. 5PPCh. 6 - Prob. 6PPCh. 6 - Prob. 7PPCh. 6 - Prob. 8PPCh. 6 - Prob. 9PPCh. 6 - Prob. 10PP
Ch. 6 - Prob. 11PPCh. 6 - Prob. 12PPCh. 6 - Prob. 13PPCh. 6 - Prob. 14PPCh. 6 - Prob. 15APCh. 6 - Prob. 16APCh. 6 - Prob. 17APCh. 6 - Prob. 18APCh. 6 - Prob. 19APCh. 6 - Prob. 20APCh. 6 - Prob. 21APCh. 6 - Prob. 22APCh. 6 - Prob. 23APCh. 6 - Prob. 24APCh. 6 - Prob. 25APCh. 6 - Prob. 26APCh. 6 - Prob. 27APCh. 6 - Prob. 28APCh. 6 - Prob. 29APCh. 6 - Prob. 30AP
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