Hi

But one-tailed is used generally (figuratively?) to refer to directional 
alternative hypotheses (e.g., u1 > u2), and the standard F test is 
non-directional (i.e., u1>u2 OR u2>u1), even though it only involves 
(literally) one-tail of the distribution.  Assuming only two groups or a single 
df contrast (e.g., linear), the directional F would have a p of .07/2 = .035.

If you want to have some "fun" with students, try to explain to them why they 
need to look up the critical value of F for .10 to do a directional (i.e., 
figurative one-tail) test, although it does help for them to think of the t 
distribution folded over and that t**2 = F.

Take care
Jim

James M. Clark
Professor of Psychology
204-786-9757
204-774-4134 Fax
j.cl...@uwinnipeg.ca

>>> Marc Carter <marc.car...@bakeru.edu> 07-Jan-11 11:45 AM >>>

Ever since one of my grad faculty asked me to do a one-tailed F-test, I hate 
one-tailed tests.

I'm serious -- he really did.  The probability of getting the F we got was .07, 
and he said "Can't you do a one-tailed test?"  I explained -- calmly, I believe 
-- that F *is* effectively a one-tailed test...

m

--
Marc Carter, PhD
Associate Professor and Chair
Department of Psychology
College of Arts & Sciences
Baker University
--

> -----Original Message-----
> From: Jim Clark [mailto:j.cl...@uwinnipeg.ca] 
> Sent: Friday, January 07, 2011 11:27 AM
> To: Teaching in the Psychological Sciences (TIPS)
> Subject: RE: [tips] Don't Be Surprised If Your Physics
> Colleagues Snicker When They Pass You In the Hall
>
> Hi
>
> I think of one-tailed (or Abelson's 1.5 tailed) tests as a
> kind of quasi-bayesian adjustment to the standard
> non-directional test.  That is, given empirical or
> theoretical grounds for expecting an outcome in one
> direction, then one needs less evidence from the present
> study before moving in that direction.  I also sometimes use
> a perceptual metaphor ... primed to expect some stimulus
> (e.g., meeting someone in a crowded room), one needs less
> perceptual input before identifying the person.
>
> Also, it would appear that the same issues would arise with
> planned versus post hoc comparisons.  That is, post hoc
> requires some adjustment for multiple tests, whereas planned
> may not because of the expectation of a predicted pattern.
>
> Take care
> Jim
>
> James M. Clark
> Professor of Psychology
> 204-786-9757
> 204-774-4134 Fax
> j.cl...@uwinnipeg.ca 
>
> >>> "Bourgeois, Dr. Martin" <mbour...@fgcu.edu> 07-Jan-11 11:06 AM >>>
> Robert Abelson, in his excellent book Statistics as
> Principled Argument, advocates the use of what he calls a
> one-and-a-half tailed test for directional predictions; for
> example, you could set the alpha level at .04 in the tail of
> the predicted direction and .01 in the unpredicted direction.
> I always thought that was a neat idea, but I've never seen
> anyone use it.
>
> ________________________________________
> From: sbl...@ubishops.ca [sbl...@ubishops.ca] 
> Sent: Friday, January 07, 2011 11:04 AM
> To: Teaching in the Psychological Sciences (TIPS)
> Subject: Re: [tips] Don't Be Surprised If Your Physics
> Colleagues Snicker When They Pass You In the Hall
>
> On 6 Jan 2011, I wrote in response to Martin Bourgeois
> pointing out that Bem used one-tailed tests:
>
> > That's interesting, disturbing, in fact. I've long argued that one-
> > tailed tests are almost uniformly misused in psychology and
> should be
> > banned. Making a one-sided prediction is insufficient justification.
> > One should only be allowed to use a one-tailed test if one can
> > plausibly argue that not only do I not predict a result in
> the "wrong"
> > tail, but that if such a perverse result occurred, it would
> either be
> > meaningless or of no interest at all.
>
> I am happy to report that a paper hot off the press (or do
> they not do that any more?), in what appears to be a
> brand-new journal, has an excellent opinion piece which fully
> supports my view above. How they got it into print so quickly
> after reading my post, I'll never know.
>
> The paper is this:
>
> Ruxton, G, and Neuhauser, M. (2010). When should we use
> one-tailed hypothesis testing? Methods in Ecology and
> Evolution, 1, 114-117.
>
> After giving a great example of the tangled mess an unwary
> researcher is faced with when a one-tailed test goes rogue,
> they say this:
>
> "On the basis of their statistical test, the scientist has no
> grounds for treating an experiment where the birds having a
> spectacular adverse reaction to the supplement any
> differently from the birds having no reaction. This
> philosophical lack of ability to act in response to
> unexpected results is the cost of one-tailed testing".
>
> Amen! Cut your costs! Help stamp out one-tailed tests!
>
> They also say "We rarely find ourselves in a position where
> we are comfortable with using  a one-tailed test", and later,
>  "Use of one- tailed testing is more common than we would
> expect" [in ecology journals], They report that none of these
> uses involved a satisfactory explanation.
>
> The authors' summary, in modest and restrained language,
> offers this good guide for the perplexed:
> ----------------------------
> Summary
>
> 1. Although one-tailed hypothesis tests are commonly used,
> clear justification for why this approach is used is often
> missing frompublished papers.
>
> 2. Here we suggest explicit questions authors should ask of
> themselves when deciding whether or not to adopt one-tailed tests.
>
> 3. First, we suggest that authors should only use a
> one-tailed test if they can explain why they are more
> interested in an effect in one direction and not the other.
>
> 4. We suggest a further requirement that adoption of
> one-tailed testing requires an explanation why the authors
> would treat a large observed difference in the unexpected
> direction no differently from a difference in the expected
> direction that was not strong enough to justify rejection of
> the null hypothesis.
>
> 5. These justifications should be included in published works
> that use one-tailed tests, allowing editors, reviewers and
> readers the ability to evaluate the appropriateness of the
> adoption of one-tailed testing.
>
> 6. We feel that adherence to our suggestions will allow
> authors to use one-tailed tests more appropriately, and
> readers to form their own opinion about such appropriateness
> when one-tailed tests are used.
> -------------------------
>
>
> Stephen
>
> --------------------------------------------
> Stephen L. Black, Ph.D.
> Professor of Psychology, Emeritus
> Bishop's University
> Sherbrooke, Quebec, Canada
> e-mail:  sblack at ubishops.ca
> ---------------------------------------------
>
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