Re: Simple binomial test question


"Jack Tomsky" <jtomsky@xxxxxxxxxxxxx> wrote in
message
news:632568.1177647489114.JavaMail.jakarta@xxxxxxxxxxx
thforum.org...
Jack Tomsky repeat his post, not answering the
questing I posed: is cachechy evident.

Jerry Dallal is clear at this point

www.tufts.edu/~gdallal/sigtest.htm


_______licas (Luis A. Afonso)


Under the Afonso theory of statistical inference,
one is never allowed
to make a decision if there is any chance that the
decision could be
wrong. That's why in hypothesis testing, he
refuses to ever accept
the null hypothesis or to accept the alternative
hypothesis.

One never accepts the null hypothesis, one only
decides whether or not
to reject it. In this particular case, one would use
a lot more coin
tosses to reduce the likelihood of making a type II
error.

Phil H




Phil, I have only a handful fo statistics books in my office. However, every single one says that the null hypothesis can be either accepted or rejected.

"Let the decisions of accepting or rejecting H be denoted by do and d1, respectively. A nonrandomized test procedure assigns to each possible value x of X one of these two decisions and thereby divides the sample space into two complementary regions S0 and S1. If X falls into S0, the hypothesis is accepted, otherwise it is rejected."

Lehmann, Testing Statistical Hypotheses, p. 60


"More precisely, let Wn be a set in the sample space Rn which does not depend on theta such that if (x1, ..., xn) belongs to Wn, we reject H, otherwise we accept H."

S.S. Wilks, Mathematical Statistics, p. 395


"The two decisions, one of which the statistician must make on the completion of the experiment, are d1, the decision to accept the hypothesis and say that theta belongs to w, and d2, the decision to accept the alternative and say that theta belongs to W-w,"

D.A.S. Fraser, Nonparametric Methods in Statistics, p. 70


"Since Cp,m,n(alpha) > 1, the hypothesis is accepted if the left-hand side of (42) is less than Chisqp,m(alpha)."

T.W. Anderson, An Introduction to Multivariate Statistical Analysuis, p. 308


Jack
.

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