On 2 Jun 2004 17:27:03 -0700, [EMAIL PROTECTED] (Ray Koopman) wrote:

> [EMAIL PROTECTED] (Anders D Hojen) wrote in message 
> news:<[EMAIL PROTECTED]>...
> > [...]
> > I'm measuring sentence durations to follow up studies on the seemingly
> > trivial fact that non-native speakers tend to speak more slowly than
> > native speakers. I'm trying to find the psycholinguistic locus (or loci)
> > of their slowness. The hypothesis I'm testing is that that locus is
> > syntactical processing. The between-groups factor is 'group' (native vs.
> > non-native). The within-group factor is 'syntactic complexity' of the
> > sentences that the subjects repeated (3 levels).
> > 
> > In an ANOVA on the raw data, the interaction was significant, and I
> > found that the mean group difference was not significant for the simple
> > sentences, but for the complex sentences. Thus, I might infer that
> > increased syntactic processing load slows non-native talkers down.
> > 
> > However, syntactic complexity is confounded with sentence length,
> > because the more complex the syntax of a sentence gets (i.e., the more
> > words there are), the longer it inevitably gets. The group differences
> > are larger for complex sentences (say, 2200 vs. 2500 ms) than simple
> > sentences (say 500 vs. 550 ms). I'm wondering whether the ANOVA went:
> > "Hey look, a delta of 300 is larger than a delta of 50; I'm gonna output
> > a significant interaction". Will the ANOVA recognize that the delta of
> > 50 is based smaller values than the delta of 300? This is why I thought
> > of z-scores. But maybe they won't make a difference?
> > [...]
> 
> Try analyzing the logs of the durations. Then the anova, which always
> looks at absolute differences in the numbers it has, will actually be
> considering relative differences in the original numbers. And you may
> also get rid of some of the interactions, too.


Taking the logs of the durations is an obvious thing.  I believe it
does not take special justification because a statistician should have
recommended that before you began.

As an alternative, re-stating the durations as time-per-word seems to
me to be a realistic version of the outcome, which also might 
avoid interactions and heterogeneity of variances.

-- 
Rich Ulrich, [EMAIL PROTECTED]
http://www.pitt.edu/~wpilib/index.html
.
.
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