I agree with Reinhold that one can publish pretty easily without p-values.
We have at least four "p-value free" articles and nobody has complained yet:

1. Marisa Ferrara Boston, John Hale, Reinhold Kliegl, Umesh Patil and
Shravan Vasishth. Parsing costs as predictors of reading difficulty: An
evaluation using the Potsdam Sentence Corpus. 2008. Journal of Eye Movement
Research.
http://www.ling.uni-potsdam.de/~vasishth/Papers/jemrsurprisal.pdf

2. Umesh Patil, Anna Gollrad, Gerrit Kentner, Caroline Fery, Frank Kuegler
and Shravan Vasishth. Focus, word order, and intonation in Hindi. Accepted
pending revision. Journal of South Asian Linguistics. 2008.
http://www.ling.uni-potsdam.de/~vasishth/Papers/hindi-intonation-submitted.pdf

3. In another one I used HPD ("credible") intervals instead of p-vals:

Shravan Vasishth, Sven Bruessow, Richard L. Lewis, and Heiner Drenhaus.
Processing polarity: How the ungrammatical intrudes on the grammatical.
Cognitive Science, accepted 2007.
http://www.ling.uni-potsdam.de/~vasishth/Papers/npi1final.pdf

4. In another one that is accepted pending revisions, I used what I might
call a Gelman and Hill type plot: the coefficients with 95% error bars (with
a horizontal line going through y=0):

Sigrid Beck and Shravan Vasishth. Multiple focus. Accepted pending
revisions, Journal of Semantics. 2008.
http://www.ling.uni-potsdam.de/~vasishth/Papers/MultFocPaperRev3.pdf

Sometimes, to assuage Fear, Uncertainty and Doubt, I add traditional F- and
p-values, but not too often.

-- 
Professor Dr. Shravan Vasishth
Empirical Methods in Syntax
Institute for Linguistics, Potsdam, Germany
Tel: +49-(0)331-977-2016, -2457 Fax: -2087
http://www.ling.uni-potsdam.de/~vasishth

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