[R-sig-ME] how to know if random factors are significant?
David.Duffy at qimr.edu.au
Thu Apr 3 06:27:16 CEST 2008
On Thu, 3 Apr 2008, John Maindonald wrote:
> Debate over the use of results from twin studies to partition effects
> on measured IQ into environmental and genetic components illustrates
> the point. The variance components are relevant only in the
> populations of parents who adopted one or other twin. More to the
> present point, the Flynn effect by which there've been huge IQ
> increases between one generation and the next requires the invocation
> of some mixture of environmental and genetic effects that are outside
> the ken of both the twin studies data and the models used to analyze
> that data. In biology, do not expect anything to be simple. As I
> understand it, there've been a variety of attempts to explain the
> Flynn effect, but no clear consensus.
Well, this discussion is straying more into the topic of whether the study
of individual differences is useful. Even though the mechanism of cohort
effects on IQ measures is unknown, a suitable observational design can
still look at variances within generations and covariances between
generations for various types of relative pair. A just as difficult human
phenotype is adult height, where all these same issues are acting (strong
secular trends, very strong familial resemblance).
> The analyst ought to worry about implications of the with/without
> disputed random effect for power (or effective sample size, or ...) as
> well as for the p-value or CI limits. The analyst who omits the
> disputed random effect has to worry both that the p-value might be
> unreasonably optimistic and the power curve unreasonably optimistic.
This same bugbear is brought up all the time where a particular fixed
effect/covariate is "not statistically significant" in the present study,
even though it is known to have effects in other studies. It is generally
recommended to include that covariate in one's models. I have never been
particularly impressed by the examples (eg Breslow and Day) that purport
to demonstrate problems with just dropping it out -- but it is one place
where a Bayesian framework deals sensibly with the prior scientific
Cheers, David Duffy.
| David Duffy (MBBS PhD) ,-_|\
| email: davidD at qimr.edu.au ph: INT+61+7+3362-0217 fax: -0101 / *
| Epidemiology Unit, Queensland Institute of Medical Research \_,-._/
| 300 Herston Rd, Brisbane, Queensland 4029, Australia GPG 4D0B994A v
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