[R-sig-eco] Bootstrapping with pseudo-replicates

2011-11-16 Thread Dixon, Philip M [STAT]
Johannes,

A very good question to ask, but you can't use a bootstrap, or boot(), to 
investigate it.  

You can define strata and then bootstrap observations within strata, but all 
bootstrap data sets will have the same structure as the original data.  That's 
the point of the bootstrap.  In your example, you have observations from 4 
sites, 1 obs from site 1, 2 from site 2, 1 from site 3, and 2 from site 4.  
Every stratified bootstrap sample will have 1 from site 1, 2 from site 2, 1 
from site 3 and 2 from site 4.

I believe you have to construct your own code, probably along the lines of 
defining a vector for one obs per site, then for each site: extracting the set 
of pseudoreplicates for one site, using sample() to grab one value from that 
set, then storing in the  vector.

Best wishes,
Philip Dixon

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Re: [R-sig-eco] interpreting adonis results

2011-11-16 Thread Gavin Simpson
On Wed, 2011-11-16 at 03:43 +0100, Gian Maria Niccolò Benucci wrote:
 Hi all,
 
 I had 84 samples collected in 7 different sites.
 In each sample were individuated the different fungal species and recorded.
 I would test if exist a real difference between the sites and if exist a
 sort of site effect that structure the fungal communities...
 Then, I did adonis test
 
  adonis(community.sq ~ location, data=env.table, permutations=999)
 
 Call:
 adonis(formula = community.sq ~ location, data = env.table, permutations =
 999)
 
   Df SumsOfSqs MeanSqs F.Model  R2 Pr(F)
 location   612.593 2.09886  6.8867 0.34922  0.001 ***
 Residuals 7723.467 0.30477 0.65078
 Total 8336.060 1.0
 ---
 Signif. codes:  0 *** 0.001 ** 0.01 * 0.05 . 0.1   1
 
 
 
 The significance is  R2=0.349 at P=0.001
 Can I assure that exist a strong site effect in structuring the communities
 in each site?

Depends. The test is one of no effect of `location`. You have found
evidence against this hypothesis and thus could reject this hypothesis,
instead accepting the alternative hypothesis that there is an effect of
`location`. As to the strength of this effect? ~35% of the sums of
squares can be explained by `location`. Substantially more of the
variance remains unexplained. As I know nothing about your subject area,
I am unable to comment further on the strength of the relationship.

Seeing as many ecologists whose work I read would say an effect is
significant if the p-value was = 0.05. Not that I subscribe to this way
or working, but by that criterion, you have identified a significant
`location` effect.

HTH

G

 
 Thanks for helping,
 
 G.
 
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[R-sig-eco] Marrying Tukey's HSD and ANOVA results

2011-11-16 Thread Lara R. Appleby 04
I've done a standard two way ANOVA using glm on the dependent variable clutchsize  
with the two factors treatment (which has 3 levels called 1, 2, and 3) and species  
(which has two levels called 1 and 2). Apparently there is no significant interaction  
term. Then I did Tukey's HSD and found that there were significant differences  
between species at only one of the three treatment levels, treatment level 1.  
Are these in fact conflicting results?


##ANOVA RESULTS

 summary(aov((clutchsize~treatment*species)))

   Df Sum Sq Mean Sq F value   Pr(F)
treatment   1  29.26  29.264  7.0230  0.00884 **
species 1 138.14 138.143 33.1526 4.13e-08 ***
treatment:species   1   8.11   8.110  1.9464  0.16487
Residuals 163 679.20   4.167
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

##TUKEY HSD RESULTS

 TukeyHSD(aov(clutchsize~treatment*species))

  Tukey multiple comparisons of means
95% family-wise confidence level

Fit: aov(formula = clutchsize ~ treatment * species)

$treatment
  difflwr   upr p adj
2-1  1.3245614  0.4184292 2.2306936 0.0020030
3-1  1.0416667  0.1316071 1.9517262 0.0204117
3-2 -0.2828947 -1.1806793 0.6148899 0.7368331

$species
diff   lwr   upr p adj
2-1 -1.89988 -2.544747 -1.255013 0

$`treatment:species`
  diff lwrupr p adj
2:1-1:1  1.1791506 -0.19269072  2.5509919 0.1364846
3:1-1:1  0.6476190 -0.73345324  2.0286913 0.7550479
1:2-1:1 -2.4225564 -4.08045729 -0.7646555 0.0005858
2:2-1:1 -0.8357143 -2.46652980  0.7951012 0.6787094
3:2-1:1 -0.6357143 -2.26652980  0.9951012 0.8706501
3:1-2:1 -0.5315315 -1.89354633  0.8304833 0.8701101
1:2-2:1 -3.6017070 -5.24376636 -1.9596476 0.000
2:2-2:1 -2.0148649 -3.62957317 -0.4001566 0.0055886
3:2-2:1 -1.8148649 -3.42957317 -0.2001566 0.0177862
1:2-3:1 -3.0701754 -4.71995456 -1.4203963 0.041
2:2-3:1 -1.483 -3.10589150  0.1392248 0.0944158
3:2-3:1 -1.283 -2.90589150  0.3392248 0.2077935
2:2-1:2  1.5868421 -0.27701672  3.4507009 0.1438444
3:2-1:2  1.7868421 -0.07701672  3.6507009 0.0684872
3:2-2:2  0.200 -1.63980803  2.0398080 0.9995894

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