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error strata in R

2 messages · Nick Cutler, Kingsford Jones

#
I'm working on long-term vegetation development on lava flows. I'm 
interested in the relationship between various ecological and 
environmental response variables (e.g. days of snow cover, soil 
temperature, foliar nutrient concentrations) and two fixed
factors: microtopographic position ('Topo', with two levels: 'hillock' 
and 'hollow') and lava flow age ('Age', with three levels: '26_years', 
'161_years' and '848_years').

Three lava flows of different ages were selected for the study. Sampling
was carried out at three locations on each flow; each location comprised 
paired 'hillock' and 'hollow' plots (below).

Flow		Location	Topo
26_years	1		Hillock
26_years	1		Hollow
26_years	2		Hillock
26_years	2		Hollow
26_years	3		Hillock
26_years	3		Hollow
161_years	4		Hillock
161_years	4		Hollow
161_years	5		Hillock
161_years	5		Hollow
161_years	6		Hillock
161_years	6		Hollow
848_years	7		Hillock
848_years	7		Hollow
848_years	8		Hillock
848_years	8		Hollow
848_years	9		Hillock
848_years	9		Hollow

Generally, there was only one observation per cell. In this design, 
there are replicate observations of hillocks/hollows on each flow, but 
these observations are paired (a bit like a split plot design, or what 
Quinn & Keogh call a partly-nested ANOVA).

I would like to analyze the effect of Age and Topo on the response 
variables (taking each variable individually). My initial thought was to 
use aov with Age and Topo as fixed effects, and Location (a blocking 
factor) as a random effect. But I am not sure how to specify the error 
term to account for the blocking. Would lme be more appropriate in this 
case?

Can anyone help with the model specification?

Nick
7 days later
#
Hi Nick,

Unfortunately if there is just one age per flow and there are only 3
flows, there is no replication to test for age effects.  Also w/ one
observation per Flow/Loc/Topo cell, the topo effect is confounded with
the error term.

Kingsford Jones
On Fri, Jan 22, 2010 at 7:52 AM, Nick Cutler <nick.cutler at ouce.ox.ac.uk> wrote: