You need to give the model formula that gave your output.
There are two sources of variation (at least), within and
between locations; though it looks as though your analysis
may have tried to account for this (but if so, the terms are
not laid out in a way that makes for ready interpretation.
The design is such (two locations) that you do not have
much of a check that effects are consistent over locations.

You need to check whether results really are similar
for all cultivars and for all herbicides, so that it is
legitimate to pool as happens in the overall analysis.
If a herbicide:cultivar combination has little effect the
variability may be large, while if it has a dramatic effect
(kills everything!), there may be no variability to speak of.
John Maindonald.

On 22 Feb 2005, at 10:06 PM, [EMAIL PROTECTED] wrote:

To: "'Bob Wheeler'" <[EMAIL PROTECTED]>
Cc: r-help@stat.math.ethz.ch
Subject: RE: [R] power.anova.test for interaction effects
Reply-To: [EMAIL PROTECTED]


It's a rather complex model. A 37*4 factorial (37 cultivars[var]; 4
herbicide treatments[trt]) with three replications[rep] was carried out at
two locations[loc], with different randomizations within each rep at each
location.


Source           DF   Error Term      MS
Loc               1   Trt*rep(loc)    12314
Rep(loc)          4   Trt*rep(loc)    1230.5
Trt               3   Trt*rep(loc)    64.72
Trt*loc           3   Trt*rep(loc)    33.42
Trt*rep(loc)     12   Residual        76.78
Var              36   Var*trt*loc     93.91
Var*trt         108   Var*trt*loc     12.06
Var*trt*loc     144   Residual        43.09
Residual        575   NA              21.23


-----Original Message----- From: Bob Wheeler [mailto:[EMAIL PROTECTED] Sent: Monday, February 21, 2005 4:33 PM To: [EMAIL PROTECTED] Cc: r-help@stat.math.ethz.ch Subject: Re: [R] power.anova.test for interaction effects

Your F value is so low as to make me suspect your model. Where did the
144 denominator degrees of freedom come from?

John Maindonald             email: [EMAIL PROTECTED]
phone : +61 2 (6125)3473    fax  : +61 2(6125)5549
Centre for Bioinformation Science, Room 1194,
John Dedman Mathematical Sciences Building (Building 27)
Australian National University, Canberra ACT 0200.

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