[R-sig-ME] Extraordinary accuracy of mcmcsamp?
Douglas Bates
bates at stat.wisc.edu
Thu Feb 22 14:13:20 CET 2007
On 2/22/07, T.C. Cameron <T.C.Cameron at leeds.ac.uk> wrote:
> Dear Mixed models List
> Thanks to the R help pages and contributors I have built a Generalised
> Linear mixed model with Gamma errors for a block experiment testing the
> effects of environment, food availability and harvesting strategie on
> the age at maturity in soil mite populations
> The model is
> m3<-lmer(dev~env*har*treat+dens + (1|pop/rep), family = Gamma)
> The output of the mcmcsamp function gives estimates for the fixed factor
> coefficients that are similar or identical to the model output, but
> without any SE or deviation!
The MCMC chain is stuck, which can happen with generalized linear
mixed models. The Metropolis-Hastings algorithm that I had concocted
for MCMC sampling from GLMMs worked well on the examples that I tried
but does not work as well as I had hoped in general.
You will need to formulate your own sampler or use the z statistics.
> As I think I am performing this task to test in the coefficients are
> significantly different from zero this makes the job easy but for now,
> untrustworthy!
>
> Iterations = 1:10000
> Thinning interval = 1
> Number of chains = 1
> Sample size per chain = 10000
>
> 1. Empirical mean and standard deviation for each variable,
> plus standard error of the mean:
>
> Mean SD Naive SE Time-series SE
> (Intercept) 2.054e-01 0.000e+00 0.000e+00 0.000e+00
> envL -4.141e-02 0.000e+00 0.000e+00 0.000e+00
> harA 4.613e-03 0.000e+00 0.000e+00 0.000e+00
> harJ 6.227e-03 0.000e+00 0.000e+00 0.000e+00
> treatP -5.690e-03 0.000e+00 0.000e+00 0.000e+00
> treatV -4.232e-03 0.000e+00 0.000e+00 0.000e+00
> dens -4.647e-01 0.000e+00 0.000e+00 0.000e+00
> envL:harA 8.621e-03 0.000e+00 0.000e+00 0.000e+00
> envL:harJ 2.384e-02 0.000e+00 0.000e+00 0.000e+00
> envL:treatP 3.398e-02 0.000e+00 0.000e+00 0.000e+00
> envL:treatV 3.414e-02 0.000e+00 0.000e+00 0.000e+00
> harA:treatP -7.164e-03 0.000e+00 0.000e+00 0.000e+00
> harJ:treatP -3.926e-02 0.000e+00 0.000e+00 0.000e+00
> harA:treatV 7.309e-03 0.000e+00 0.000e+00 0.000e+00
> harJ:treatV -2.751e-03 0.000e+00 0.000e+00 0.000e+00
> envL:harA:treatP 1.845e-02 0.000e+00 0.000e+00 0.000e+00
> envL:harJ:treatP 3.589e-02 0.000e+00 0.000e+00 0.000e+00
> envL:harA:treatV -7.708e-03 0.000e+00 0.000e+00 0.000e+00
> envL:harJ:treatV -5.037e-03 0.000e+00 0.000e+00 0.000e+00
> rp:p.(In) 2.987e+01 3.800e+00 3.800e-02 3.247e-02
> pop.(In) 2.133e-13 8.073e-14 8.073e-16 1.054e-09
>
> 2. Quantiles for each variable:
>
> 2.5% 25% 50% 75% 97.5%
> (Intercept) 2.054e-01 2.054e-01 2.054e-01 2.054e-01 2.054e-01
> envL -4.141e-02 -4.141e-02 -4.141e-02 -4.141e-02 -4.141e-02
> harA 4.613e-03 4.613e-03 4.613e-03 4.613e-03 4.613e-03
> harJ 6.227e-03 6.227e-03 6.227e-03 6.227e-03 6.227e-03
> treatP -5.690e-03 -5.690e-03 -5.690e-03 -5.690e-03 -5.690e-03
> treatV -4.232e-03 -4.232e-03 -4.232e-03 -4.232e-03 -4.232e-03
> dens -4.647e-01 -4.647e-01 -4.647e-01 -4.647e-01 -4.647e-01
> envL:harA 8.621e-03 8.621e-03 8.621e-03 8.621e-03 8.621e-03
> envL:harJ 2.384e-02 2.384e-02 2.384e-02 2.384e-02 2.384e-02
> envL:treatP 3.398e-02 3.398e-02 3.398e-02 3.398e-02 3.398e-02
> envL:treatV 3.414e-02 3.414e-02 3.414e-02 3.414e-02 3.414e-02
> harA:treatP -7.164e-03 -7.164e-03 -7.164e-03 -7.164e-03 -7.164e-03
> harJ:treatP -3.926e-02 -3.926e-02 -3.926e-02 -3.926e-02 -3.926e-02
> harA:treatV 7.309e-03 7.309e-03 7.309e-03 7.309e-03 7.309e-03
> harJ:treatV -2.751e-03 -2.751e-03 -2.751e-03 -2.751e-03 -2.751e-03
> envL:harA:treatP 1.845e-02 1.845e-02 1.845e-02 1.845e-02 1.845e-02
> envL:harJ:treatP 3.589e-02 3.589e-02 3.589e-02 3.589e-02 3.589e-02
> envL:harA:treatV -7.708e-03 -7.708e-03 -7.708e-03 -7.708e-03 -7.708e-03
> envL:harJ:treatV -5.037e-03 -5.037e-03 -5.037e-03 -5.037e-03 -5.037e-03
> rp:p.(In) 2.327e+01 2.723e+01 2.959e+01 3.219e+01 3.816e+01
> pop.(In) 1.082e-13 1.585e-13 1.962e-13 2.486e-13 4.205e-13
>
>
> There does not appear to be any significant degree of skew as the
> quantiles for the fixed factors are also identical!
>
> Am I doing something wrong or is this result genuine?
>
> Data and script below
>
> Thankyou and best wishes
>
> pop treat har rep env dev fed dens
> 4 C 0 3 H 4 1 9
> 4 C 0 3 H 4 1 9
> 4 C 0 3 H 4 1 9
> 4 C 0 3 H 4 1 9
> 4 C 0 3 H 4 1 9
> 4 C 0 4 H 4 1 8
> 4 C 0 4 H 4 1 8
> 4 C 0 4 H 4 1 8
> 4 C 0 4 H 4 1 8
> 4 C 0 4 H 4 1 8
> 4 C 0 4 H 4 1 8
> 4 C 0 4 H 4 1 8
> 4 C 0 5 H 4 1 5
> 4 C 0 5 H 4 1 5
> 4 C 0 5 H 4 1 5
> 4 C 0 6 H 4 1 9
> 4 C 0 6 H 4 1 9
> 4 C 0 6 H 4 1 9
> 4 C 0 6 H 4 1 9
> 4 C 0 6 H 4 1 9
> 4 C 0 6 H 4 1 9
> 4 C 0 7 H 4 1 4
> 4 C 0 7 H 4 1 4
> 4 C 0 7 H 4 1 4
> 4 C 0 7 H 4 1 4
> 4 C 0 1 H 5 1 9
> 4 C 0 1 H 5 1 9
> 4 C 0 1 H 5 1 9
> 4 C 0 1 H 5 1 9
> 4 C 0 1 H 5 1 9
> 4 C 0 1 H 5 1 9
> 4 C 0 2 H 5 1 4
> 4 C 0 2 H 5 1 4
> 4 C 0 2 H 5 1 4
> 4 C 0 3 H 5 1 6
> 4 C 0 3 H 5 1 6
> 4 C 0 3 H 5 1 6
> 4 C 0 3 H 5 1 6
> 4 C 0 3 H 5 1 6
> 4 C 0 4 H 5 1 13
> 4 C 0 4 H 5 1 13
> 4 C 0 4 H 5 1 13
> 4 C 0 4 H 5 1 13
> 4 C 0 4 H 5 1 13
> 4 C 0 5 H 5 1 9
> 4 C 0 5 H 5 1 9
> 4 C 0 5 H 5 1 9
> 4 C 0 6 H 5 1 10
> 4 C 0 6 H 5 1 10
> 4 C 0 6 H 5 1 10
> 4 C 0 6 H 5 1 10
> 4 C 0 6 H 5 1 10
> 4 C 0 6 H 5 1 10
> 4 C 0 6 H 5 1 10
> 4 C 0 7 H 5 1 16
> 4 C 0 7 H 5 1 16
> 4 C 0 7 H 5 1 16
> 4 C 0 7 H 5 1 16
> 4 C 0 7 H 5 1 16
> 4 C 0 7 H 5 1 16
> 4 C 0 7 H 5 1 16
> 4 C 0 7 H 5 1 16
> 4 C 0 7 H 5 1 16
> 4 C 0 7 H 5 1 16
> 4 C 0 7 H 5 1 16
> 4 C 0 1 H 6 1 2
> 4 C 0 1 H 6 1 2
> 4 C 0 2 H 6 1 9
> 4 C 0 2 H 6 1 9
> 4 C 0 2 H 6 1 9
> 4 C 0 2 H 6 1 9
> 4 C 0 2 H 6 1 9
> 4 C 0 2 H 6 1 9
> 4 C 0 3 H 7 1 2
> 4 C 0 3 H 7 1 2
> 4 C 0 5 H 7 1 2
> 4 C 0 5 H 7 1 2
> 4 C 0 6 L 7 0 1
> 4 C 0 7 L 7 0 1
> 4 C 0 1 L 8 1 1
> 4 C 0 3 L 8 1 2
> 4 C 0 5 L 8 1 1
> 4 C 0 2 L 9 0 1
> 4 C 0 3 L 9 0 1
> 4 C 0 5 L 9 0 2
> 4 C 0 6 L 9 0 1
> 4 C 0 2 L 10 1 2
> 4 C 0 2 L 10 1 2
> 4 C 0 3 L 10 1 4
> 4 C 0 3 L 10 1 4
> 4 C 0 4 L 10 1 3
> 4 C 0 6 L 10 1 2
> 4 C 0 1 L 11 0 3
> 4 C 0 1 L 11 0 3
> 4 C 0 2 L 11 0 1
> 4 C 0 7 L 11 0 1
> 4 C 0 5 L 12 1 5
> 4 C 0 7 L 12 1 2
> 4 C 0 4 L 13 0 1
> 4 C 0 1 L 14 1 1
> 4 C 0 1 L 15 0 1
> 4 C 0 4 L 15 0 2
> 4 C 0 1 L 16 1 3
> 4 C 0 2 L 16 1 1
> 4 C 0 5 L 16 1 1
> 4 C 0 2 L 17 0 5
> 4 C 0 2 L 17 0 5
> 4 C 0 2 L 17 0 5
> 4 C 0 2 L 17 0 5
> 4 C 0 2 L 17 0 5
> 4 C 0 2 L 18 1 2
> 4 C 0 2 L 18 1 2
> 5 C 0 3 H 4 1 9
> 5 C 0 3 H 4 1 9
> 5 C 0 3 H 4 1 9
> 5 C 0 3 H 4 1 9
> 5 C 0 4 H 4 1 11
> 5 C 0 4 H 4 1 11
> 5 C 0 4 H 4 1 11
> 5 C 0 4 H 4 1 11
> 5 C 0 4 H 4 1 11
> 5 C 0 4 H 4 1 11
> 5 C 0 4 H 4 1 11
> 5 C 0 4 H 4 1 11
> 5 C 0 1 H 5 1 16
> 5 C 0 1 H 5 1 16
> 5 C 0 1 H 5 1 16
> 5 C 0 1 H 5 1 16
> 5 C 0 1 H 5 1 16
> 5 C 0 1 H 5 1 16
> 5 C 0 2 H 5 1 5
> 5 C 0 2 H 5 1 5
> 5 C 0 2 H 5 1 5
> 5 C 0 2 H 5 1 5
> 5 C 0 3 H 5 1 6
> 5 C 0 3 H 5 1 6
> 5 C 0 3 H 5 1 6
> 5 C 0 3 H 5 1 6
> 5 C 0 4 H 5 1 7
> 5 C 0 4 H 5 1 7
> 5 C 0 4 H 5 1 7
> 5 C 0 4 H 5 1 7
> 5 C 0 4 H 5 1 7
> 5 C 0 4 H 5 1 7
> 5 C 0 4 H 5 1 7
> 5 C 0 5 H 5 1 10
> 5 C 0 5 H 5 1 10
> 5 C 0 5 H 5 1 10
> 5 C 0 5 H 5 1 10
> 5 C 0 5 H 5 1 10
> 5 C 0 6 H 5 1 18
> 5 C 0 6 H 5 1 18
> 5 C 0 6 H 5 1 18
> 5 C 0 6 H 5 1 18
> 5 C 0 6 H 5 1 18
> 5 C 0 6 H 5 1 18
> 5 C 0 6 H 5 1 18
> 5 C 0 7 H 5 1 10
> 5 C 0 7 H 5 1 10
> 5 C 0 7 H 5 1 10
> 5 C 0 7 H 5 1 10
> 5 C 0 7 H 5 1 10
> 5 C 0 4 L 6 1 3
> 5 C 0 4 L 6 1 3
> 5 C 0 4 H 7 1 1
> 5 C 0 2 L 8 1 1
> 5 C 0 5 L 8 1 1
> 5 C 0 7 L 8 1 1
> 5 C 0 3 L 9 0 1
> 5 C 0 1 L 10 1 2
> 5 C 0 2 L 10 1 3
> 5 C 0 2 L 10 1 3
> 5 C 0 2 L 10 1 3
> 5 C 0 3 L 10 1 4
> 5 C 0 3 L 10 1 4
> 5 C 0 3 L 10 1 4
> 5 C 0 4 L 10 1 1
> 5 C 0 5 L 10 1 5
> 5 C 0 5 L 10 1 5
> 5 C 0 7 L 10 1 2
> 5 C 0 1 L 11 0 1
> 5 C 0 2 L 11 0 2
> 5 C 0 3 L 11 0 2
> 5 C 0 4 L 11 0 1
> 5 C 0 6 L 11 0 2
> 5 C 0 7 L 11 0 2
> 5 C 0 1 L 12 1 6
> 5 C 0 1 L 12 1 6
> 5 C 0 1 L 12 1 6
> 5 C 0 1 L 12 1 6
> 5 C 0 1 L 12 1 6
> 5 C 0 2 L 12 1 2
> 5 C 0 2 L 12 1 2
> 5 C 0 3 L 12 1 1
> 5 C 0 4 L 12 1 3
> 5 C 0 6 L 12 1 3
> 5 C 0 7 L 12 1 1
> 5 C 0 1 L 14 1 1
> 5 C 0 3 L 14 1 1
> 5 C 0 6 L 14 1 1
> 5 C 0 1 L 15 0 2
> 5 C 0 6 L 15 0 1
> 5 C 0 7 L 16 1 1
> 10 C A 1 L 4 1 18
> 10 C A 1 H 4 1 18
> 10 C A 2 H 4 1 20
> 10 C A 2 H 4 1 20
> 10 C A 2 H 4 1 20
> 10 C A 5 H 4 1 17
> 10 C A 5 H 4 1 17
> 10 C A 6 H 4 1 20
> 10 C A 6 H 4 1 20
> 10 C A 6 H 4 1 20
> 10 C A 1 H 5 1 13
> 10 C A 1 H 5 1 13
> 10 C A 1 H 5 1 13
> 10 C A 1 H 5 1 13
> 10 C A 2 H 5 1 11
> 10 C A 2 H 5 1 11
> 10 C A 2 H 5 1 11
> 10 C A 2 H 5 1 11
> 10 C A 2 H 5 1 11
> 10 C A 2 H 5 1 11
> 10 C A 2 H 5 1 11
> 10 C A 2 H 5 1 11
> 10 C A 3 H 5 1 14
> 10 C A 3 H 5 1 14
> 10 C A 3 H 5 1 14
> 10 C A 3 H 5 1 14
> 10 C A 3 H 5 1 14
> 10 C A 3 H 5 1 14
> 10 C A 3 H 5 1 14
> 10 C A 3 H 5 1 14
> 10 C A 3 H 5 1 14
> 10 C A 3 H 5 1 14
> 10 C A 3 H 5 1 14
> 10 C A 3 H 5 1 14
> 10 C A 4 H 5 1 16
> 10 C A 4 H 5 1 16
> 10 C A 4 H 5 1 16
> 10 C A 4 H 5 1 16
> 10 C A 4 H 5 1 16
> 10 C A 4 H 5 1 16
> 10 C A 5 H 5 1 12
> 10 C A 5 H 5 1 12
> 10 C A 5 H 5 1 12
> 10 C A 5 H 5 1 12
> 10 C A 5 H 5 1 12
> 10 C A 5 H 5 1 12
> 10 C A 6 H 5 1 14
> 10 C A 6 H 5 1 14
> 10 C A 6 H 5 1 14
> 10 C A 6 H 5 1 14
> 10 C A 6 H 5 1 14
> 10 C A 6 H 5 1 14
> 10 C A 6 H 5 1 14
> 10 C A 6 H 5 1 14
> 10 C A 6 H 5 1 14
> 10 C A 6 H 5 1 14
> 10 C A 7 H 5 1 18
> 10 C A 7 H 5 1 18
> 10 C A 7 H 5 1 18
> 10 C A 7 H 5 1 18
> 10 C A 7 H 5 1 18
> 10 C A 7 H 5 1 18
> 10 C A 7 H 5 1 18
> 10 C A 7 H 5 1 18
> 10 C A 1 H 6 1 5
> 10 C A 1 H 6 1 5
> 10 C A 2 L 10 1 2
> 10 C A 2 L 10 1 2
> 10 C A 4 L 10 1 1
> 10 C A 5 L 10 1 3
> 10 C A 5 L 10 1 3
> 10 C A 5 L 11 0 2
> 10 C A 5 L 12 1 2
> 10 C A 5 L 13 1 2
> 10 C A 7 L 13 1 2
> 10 C A 3 L 14 0 9
> 10 C A 3 L 14 0 9
> 10 C A 4 L 14 0 6
> 10 C A 4 L 14 0 6
> 10 C A 4 L 14 0 6
> 10 C A 6 L 14 0 1
> 10 C A 7 L 14 0 6
> 10 C A 7 L 14 0 6
> 10 C A 7 L 14 0 6
> 10 C A 7 L 14 0 6
> 10 C A 4 L 15 1 3
> 10 C A 4 L 15 1 3
> 10 C A 4 L 15 1 3
> 10 C A 3 L 15 1 5
> 10 C A 3 L 15 1 5
> 10 C A 3 L 15 1 5
> 10 C A 3 L 15 1 5
> 10 C A 2 L 15 1 4
> 10 C A 2 L 15 1 4
> 10 C A 6 L 15 1 3
> 10 C A 7 L 15 1 8
> 10 C A 7 L 15 1 8
> 10 C A 6 L 16 0 2
> 10 C A 2 L 17 1 3
> 10 C A 2 L 17 1 3
> 10 C A 2 L 17 1 3
> 10 C A 3 L 17 1 1
> 10 C A 5 L 17 1 1
> 10 C A 6 L 17 1 3
> 10 C A 4 L 18 0 1
> 10 C A 4 L 19 1 3
> 10 C A 4 L 19 1 3
> 10 C A 4 L 19 1 3
> 10 C A 2 L 20 0 1
> 11 C A 3 H 4 1 19
> 11 C A 3 H 4 1 19
> 11 C A 3 H 4 1 19
> 11 C A 3 H 4 1 19
> 11 C A 3 H 4 1 19
> 11 C A 3 H 4 1 19
> 11 C A 3 H 4 1 19
> 11 C A 3 H 4 1 19
> 11 C A 4 H 4 1 5
> 11 C A 4 H 4 1 5
> 11 C A 5 H 4 1 14
> 11 C A 5 H 4 1 14
> 11 C A 5 H 4 1 14
> 11 C A 5 H 4 1 14
> 11 C A 5 H 4 1 14
> 11 C A 5 H 4 1 14
> 11 C A 6 H 4 1 16
> 11 C A 6 H 4 1 16
> 11 C A 6 H 4 1 16
> 11 C A 6 H 4 1 16
> 11 C A 6 H 4 1 16
> 11 C A 6 H 4 1 16
> 11 C A 6 H 4 1 16
> 11 C A 6 H 4 1 16
> 11 C A 7 H 4 1 20
> 11 C A 7 H 4 1 20
> 11 C A 7 H 4 1 20
> 11 C A 7 H 4 1 20
> 11 C A 1 H 5 1 12
> 11 C A 1 H 5 1 12
> 11 C A 1 H 5 1 12
> 11 C A 1 H 5 1 12
> 11 C A 1 H 5 1 12
> 11 C A 1 H 5 1 12
> 11 C A 1 H 5 1 12
> 11 C A 1 H 5 1 12
> 11 C A 2 H 5 1 12
> 11 C A 2 H 5 1 12
> 11 C A 2 H 5 1 12
> 11 C A 2 H 5 1 12
> 11 C A 2 H 5 1 12
> 11 C A 2 H 5 1 12
> 11 C A 2 H 5 1 12
> 11 C A 2 H 5 1 12
> 11 C A 2 H 5 1 12
> 11 C A 2 H 5 1 12
> 11 C A 2 H 5 1 12
> 11 C A 3 H 5 1 4
> 11 C A 3 H 5 1 4
> 11 C A 3 H 5 1 4
> 11 C A 3 H 5 1 4
> 11 C A 4 H 5 1 9
> 11 C A 4 H 5 1 9
> 11 C A 4 H 5 1 9
> 11 C A 4 H 5 1 9
> 11 C A 4 H 5 1 9
> 11 C A 5 H 5 1 3
> 11 C A 6 H 5 1 1
> 11 C A 7 H 5 1 10
> 11 C A 7 H 5 1 10
> 11 C A 7 H 5 1 10
> 11 C A 7 H 5 1 10
> 11 C A 7 H 5 1 10
> 11 C A 7 H 5 1 10
> 11 C A 7 H 5 1 10
> 11 C A 7 H 5 1 10
> 11 C A 2 L 8 1 2
> 11 C A 3 L 8 1 1
> 11 C A 4 L 8 1 2
> 11 C A 2 L 9 0 2
> 11 C A 2 L 9 0 2
> 11 C A 3 L 9 0 1
> 11 C A 2 L 10 1 4
> 11 C A 2 L 10 1 4
> 11 C A 3 L 10 1 3
> 11 C A 3 L 10 1 3
> 11 C A 6 L 10 1 3
> 11 C A 6 L 10 1 3
> 11 C A 6 L 10 1 3
> 11 C A 1 L 11 0 3
> 11 C A 1 L 11 0 3
> 11 C A 3 L 11 0 1
> 11 C A 7 L 11 0 3
> 11 C A 7 L 11 0 3
> 11 C A 2 L 12 1 4
> 11 C A 2 L 12 1 4
> 11 C A 2 L 12 1 4
> 11 C A 2 L 12 1 4
> 11 C A 3 L 12 1 2
> 11 C A 3 L 12 1 2
> 11 C A 6 L 12 1 6
> 11 C A 6 L 12 1 6
> 11 C A 6 L 12 1 6
> 11 C A 6 L 12 1 6
> 11 C A 6 L 12 1 6
> 11 C A 4 L 13 1 1
> 11 C A 5 L 13 1 2
> 11 C A 6 L 13 1 2
> 11 C A 1 L 14 0 3
> 11 C A 1 L 14 0 3
> 11 C A 3 L 14 0 1
> 11 C A 4 L 14 0 4
> 11 C A 5 L 14 0 7
> 11 C A 5 L 14 0 7
> 11 C A 5 L 14 0 7
> 11 C A 5 L 14 0 7
> 11 C A 5 L 14 0 7
> 11 C A 5 L 14 0 7
> 11 C A 1 L 15 1 4
> 11 C A 1 L 15 1 4
> 11 C A 3 L 15 1 3
> 11 C A 3 L 15 1 3
> 11 C A 3 L 15 1 3
> 11 C A 4 L 15 1 4
> 11 C A 4 L 15 1 4
> 11 C A 4 L 15 1 4
> 11 C A 5 L 15 1 5
> 11 C A 5 L 15 1 5
> 11 C A 5 L 15 1 5
> 11 C A 5 L 15 1 5
> 11 C A 5 L 15 1 5
> 11 C A 6 L 16 0 1
> 11 C A 4 L 17 1 1
> 11 C A 5 L 17 1 1
> 11 C A 5 L 18 0 2
> 11 C A 4 L 18 0 1
> 16 C J 1 H 4 1 4
> 16 C J 1 H 4 1 4
> 16 C J 3 H 4 1 7
> 16 C J 3 H 4 1 7
> 16 C J 3 H 4 1 7
> 16 C J 3 H 4 1 7
> 16 C J 7 H 4 1 3
> 16 C J 7 H 4 1 3
> 16 C J 1 H 5 1 7
> 16 C J 1 H 5 1 7
> 16 C J 2 H 5 1 10
> 16 C J 2 H 5 1 10
> 16 C J 2 H 5 1 10
> 16 C J 2 H 5 1 10
> 16 C J 2 H 5 1 10
> 16 C J 2 H 5 1 10
> 16 C J 2 H 5 1 10
> 16 C J 2 H 5 1 10
> 16 C J 2 H 5 1 10
> 16 C J 3 H 5 1 1
> 16 C J 4 H 5 1 14
> 16 C J 4 H 5 1 14
> 16 C J 4 H 5 1 14
> 16 C J 4 H 5 1 14
> 16 C J 4 H 5 1 14
> 16 C J 4 H 5 1 14
> 16 C J 4 H 5 1 14
> 16 C J 5 H 5 1 12
> 16 C J 5 H 5 1 12
> 16 C J 5 H 5 1 12
> 16 C J 5 H 5 1 12
> 16 C J 5 H 5 1 12
> 16 C J 5 H 5 1 12
> 16 C J 6 H 5 1 10
> 16 C J 6 H 5 1 10
> 16 C J 6 H 5 1 10
> 16 C J 7 H 5 1 7
> 16 C J 7 H 5 1 7
> 16 C J 7 H 5 1 7
> 16 C J 1 L 7 0 3
> 16 C J 1 L 7 0 3
> 16 C J 2 L 7 0 1
> 16 C J 3 L 7 0 2
> 16 C J 4 L 7 0 2
> 16 C J 4 L 7 0 2
> 16 C J 2 L 8 1 3
> 16 C J 2 L 8 1 3
> 16 C J 3 L 8 1 3
> 16 C J 3 L 8 1 3
> 16 C J 4 L 8 1 2
> 16 C J 4 L 8 1 2
> 16 C J 5 L 8 1 2
> 16 C J 7 L 8 1 1
> 16 C J 5 L 9 0 1
> 16 C J 1 L 10 1 3
> 16 C J 2 L 10 1 1
> 16 C J 3 L 10 1 1
> 16 C J 5 L 10 1 5
> 16 C J 5 L 10 1 5
> 16 C J 5 L 10 1 5
> 16 C J 5 L 10 1 5
> 16 C J 6 L 10 1 5
> 16 C J 6 L 10 1 5
> 16 C J 7 L 10 1 4
> 16 C J 7 L 10 1 4
> 16 C J 1 L 12 1 4
> 16 C J 4 L 12 1 3
> 16 C J 4 L 12 1 3
> 16 C J 7 L 12 1 3
> 16 C J 7 L 12 1 3
> 16 C J 4 L 13 0 5
> 16 C J 4 L 13 0 5
> 16 C J 5 L 13 0 2
> 16 C J 6 L 13 0 5
> 16 C J 6 L 13 0 5
> 16 C J 6 L 13 0 5
> 16 C J 1 L 14 1 1
> 16 C J 2 L 14 1 4
> 16 C J 2 L 14 1 4
> 16 C J 3 L 14 1 3
> 16 C J 3 L 14 1 3
> 16 C J 4 L 14 1 2
> 16 C J 6 L 14 1 1
> 16 C J 7 L 14 1 5
> 16 C J 7 L 14 1 5
> 16 C J 7 L 14 1 5
> 16 C J 7 L 14 1 5
> 16 C J 1 L 15 0 1
> 16 C J 2 L 15 0 1
> 16 C J 6 L 15 0 1
> 16 C J 7 L 15 0 2
> 16 C J 1 L 16 1 1
> 16 C J 2 L 16 1 3
> 16 C J 2 L 16 1 3
> 16 C J 2 L 16 1 3
> 17 C J 2 H 4 1 17
> 17 C J 2 H 4 1 17
> 17 C J 2 H 4 1 17
> 17 C J 2 H 4 1 17
> 17 C J 2 H 4 1 17
> 17 C J 2 H 4 1 17
> 17 C J 2 H 4 1 17
> 17 C J 2 H 4 1 17
> 17 C J 3 H 4 1 4
> 17 C J 3 H 4 1 4
> 17 C J 3 H 4 1 4
> 17 C J 3 H 4 1 4
> 17 C J 5 H 4 1 4
> 17 C J 5 H 4 1 4
> 17 C J 5 H 4 1 4
> 17 C J 6 H 4 1 4
> 17 C J 1 H 5 1 10
> 17 C J 1 H 5 1 10
> 17 C J 1 H 5 1 10
> 17 C J 1 H 5 1 10
> 17 C J 1 H 5 1 10
> 17 C J 1 H 5 1 10
> 17 C J 1 H 5 1 10
> 17 C J 3 H 5 1 9
> 17 C J 3 H 5 1 9
> 17 C J 3 H 5 1 9
> 17 C J 3 H 5 1 9
> 17 C J 3 H 5 1 9
> 17 C J 3 H 5 1 9
> 17 C J 5 H 5 1 4
> 17 C J 5 H 5 1 4
> 17 C J 5 H 5 1 4
> 17 C J 6 H 5 1 11
> 17 C J 6 H 5 1 11
> 17 C J 6 H 5 1 11
> 17 C J 6 H 5 1 11
> 17 C J 7 H 5 1 5
> 17 C J 7 H 5 1 5
> 17 C J 7 H 5 1 5
> 17 C J 7 H 5 1 5
> 17 C J 1 L 5 0 2
> 17 C J 1 L 5 0 2
> 17 C J 1 H 6 1 1
> 17 C J 3 H 6 1 1
> 17 C J 2 L 6 1 1
> 17 C J 6 L 6 1 3
> 17 C J 6 L 6 1 3
> 17 C J 1 L 8 1 1
> 17 C J 2 L 8 1 4
> 17 C J 2 L 8 1 4
> 17 C J 3 L 8 1 3
> 17 C J 3 L 8 1 3
> 17 C J 6 L 8 1 2
> 17 C J 7 L 8 1 5
> 17 C J 7 L 8 1 5
> 17 C J 1 L 9 0 3
> 17 C J 1 L 9 0 3
> 17 C J 2 L 9 0 1
> 17 C J 5 L 9 0 3
> 17 C J 5 L 9 0 3
> 17 C J 1 L 10 1 4
> 17 C J 1 L 10 1 4
> 17 C J 1 L 10 1 4
> 17 C J 3 L 10 1 4
> 17 C J 3 L 10 1 4
> 17 C J 4 L 10 1 3
> 17 C J 7 L 10 1 1
> 17 C J 1 L 11 0 1
> 17 C J 5 L 12 1 3
> 17 C J 7 L 12 1 3
> 17 C J 7 L 12 1 3
> 17 C J 7 L 12 1 3
> 17 C J 3 L 13 0 6
> 17 C J 3 L 13 0 6
> 17 C J 5 L 13 0 3
> 17 C J 5 L 13 0 3
> 17 C J 5 L 14 1 2
> 17 C J 7 L 14 1 3
> 17 C J 7 L 14 1 3
> 22 V 0 1 H 4 1 1
> 22 V 0 3 H 4 1 1
> 22 V 0 4 H 4 1 1
> 22 V 0 1 H 5 1 6
> 22 V 0 1 H 5 1 6
> 22 V 0 1 H 5 1 6
> 22 V 0 1 H 5 1 6
> 22 V 0 2 H 5 1 5
> 22 V 0 2 H 5 1 5
> 22 V 0 3 H 5 1 13
> 22 V 0 4 H 5 1 3
> 22 V 0 4 H 5 1 3
> 22 V 0 4 H 5 1 3
> 22 V 0 5 H 5 1 10
> 22 V 0 5 H 5 1 10
> 22 V 0 5 H 5 1 10
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> 22 V 0 6 H 5 1 16
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> 22 V 0 6 H 5 1 16
> 22 V 0 6 H 5 1 16
> 22 V 0 2 H 6 1 3
> 22 V 0 2 H 6 1 3
> 22 V 0 3 H 6 1 5
> 22 V 0 3 H 6 1 5
> 22 V 0 3 H 6 1 5
> 22 V 0 3 H 6 1 5
> 22 V 0 4 L 6 1 3
> 22 V 0 4 L 6 1 3
> 22 V 0 5 L 6 1 1
> 22 V 0 2 H 7 1 2
> 22 V 0 6 L 7 0 1
> 22 V 0 2 H 8 1 1
> 22 V 0 3 L 8 0 2
> 22 V 0 3 L 8 0 2
> 22 V 0 5 L 8 0 2
> 22 V 0 6 L 8 0 1
> 22 V 0 1 L 9 1 1
> 22 V 0 1 L 10 0 1
> 22 V 0 2 L 10 0 1
> 22 V 0 3 L 10 0 5
> 22 V 0 3 L 10 0 5
> 22 V 0 5 L 10 0 3
> 22 V 0 6 L 10 0 3
> 22 V 0 6 L 10 0 3
> 22 V 0 1 L 11 1 5
> 22 V 0 1 L 11 1 5
> 22 V 0 1 L 11 1 5
> 22 V 0 2 L 11 1 1
> 22 V 0 3 L 11 1 3
> 22 V 0 3 L 11 1 3
> 22 V 0 5 L 11 1 2
> 22 V 0 6 L 11 1 2
> 22 V 0 1 L 13 1 5
> 22 V 0 1 L 13 1 5
> 22 V 0 1 L 13 1 5
> 22 V 0 1 L 13 1 5
> 22 V 0 2 L 13 1 2
> 22 V 0 2 L 13 1 2
> 22 V 0 3 L 13 1 1
> 22 V 0 2 L 14 0 1
> 22 V 0 6 L 14 0 2
> 22 V 0 2 L 15 1 3
> 22 V 0 3 L 16 0 4
> 22 V 0 3 L 16 0 4
> 23 V 0 2 H 4 1 5
> 23 V 0 2 H 4 1 5
> 23 V 0 2 H 4 1 5
> 23 V 0 2 H 4 1 5
> 23 V 0 4 H 4 1 13
> 23 V 0 4 H 4 1 13
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> 23 V 0 4 H 4 1 13
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> 23 V 0 4 H 4 1 13
> 23 V 0 5 H 4 1 2
> 23 V 0 1 H 5 1 11
> 23 V 0 1 H 5 1 11
> 23 V 0 1 H 5 1 11
> 23 V 0 1 H 5 1 11
> 23 V 0 1 H 5 1 11
> 23 V 0 1 H 5 1 11
> 23 V 0 1 H 5 1 11
> 23 V 0 1 H 5 1 11
> 23 V 0 2 H 5 1 10
> 23 V 0 2 H 5 1 10
> 23 V 0 2 H 5 1 10
> 23 V 0 3 H 5 1 9
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> 23 V 0 3 H 5 1 9
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> 23 V 0 7 H 5 1 14
> 23 V 0 1 H 6 1 1
> 23 V 0 2 H 6 1 4
> 23 V 0 2 H 6 1 4
> 23 V 0 2 H 6 1 4
> 23 V 0 6 L 6 1 1
> 23 V 0 7 L 6 1 4
> 23 V 0 7 L 6 1 4
> 23 V 0 7 L 6 1 4
> 23 V 0 2 L 7 0 2
> 23 V 0 5 L 7 0 2
> 23 V 0 7 L 7 0 3
> 23 V 0 7 L 7 0 3
> 23 V 0 7 L 7 0 3
> 23 V 0 1 L 8 0 1
> 23 V 0 2 L 8 0 3
> 23 V 0 2 L 8 0 3
> 23 V 0 3 L 8 0 2
> 23 V 0 3 L 8 0 2
> 23 V 0 7 L 8 0 1
> 23 V 0 3 L 9 1 1
> 23 V 0 4 L 9 1 2
> 23 V 0 4 L 9 1 2
> 23 V 0 1 L 10 0 3
> 23 V 0 1 L 10 0 3
> 23 V 0 1 L 10 0 3
> 23 V 0 3 L 10 0 4
> 23 V 0 6 L 10 0 2
> 23 V 0 6 L 10 0 2
> 23 V 0 7 L 10 0 1
> 23 V 0 1 L 11 1 7
> 23 V 0 1 L 11 1 7
> 23 V 0 1 L 11 1 7
> 23 V 0 2 L 11 1 4
> 23 V 0 2 L 11 1 4
> 23 V 0 2 L 11 1 4
> 23 V 0 4 L 11 1 2
> 23 V 0 5 L 11 1 2
> 23 V 0 6 L 11 1 8
> 23 V 0 6 L 11 1 8
> 23 V 0 6 L 11 1 8
> 23 V 0 6 L 11 1 8
> 23 V 0 7 L 11 1 1
> 23 V 0 1 L 12 0 1
> 23 V 0 3 L 12 0 1
> 23 V 0 5 L 12 0 2
> 23 V 0 5 L 12 0 2
> 23 V 0 1 L 13 1 3
> 23 V 0 4 L 13 1 4
> 23 V 0 4 L 13 1 4
> 23 V 0 4 L 13 1 4
> 23 V 0 5 L 13 1 7
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> 23 V 0 5 L 13 1 7
> 23 V 0 6 L 13 1 3
> 23 V 0 6 L 13 1 3
> 23 V 0 7 L 15 1 2
> 23 V 0 7 L 15 1 2
> 23 V 0 5 L 16 0 1
> 28 V A 1 H 4 1 20
> 28 V A 2 H 4 1 17
> 28 V A 2 H 4 1 17
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> 28 V A 1 H 6 1 7
> 28 V A 1 H 6 1 7
> 28 V A 1 H 6 1 7
> 28 V A 3 H 6 1 4
> 28 V A 4 H 6 1 2
> 28 V A 6 H 6 1 4
> 28 V A 7 H 6 1 5
> 28 V A 7 H 6 1 5
> 28 V A 1 H 7 1 2
> 28 V A 3 H 7 1 2
> 28 V A 4 H 8 1 1
> 28 V A 1 L 9 0 1
> 28 V A 3 L 9 0 3
> 28 V A 3 L 9 0 3
> 28 V A 3 L 9 0 3
> 28 V A 4 L 9 0 3
> 28 V A 4 L 9 0 3
> 28 V A 6 L 9 0 2
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> 28 V A 1 L 10 1 3
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> 28 V A 3 L 11 0 1
> 28 V A 1 L 12 0 1
> 28 V A 4 L 12 0 1
> 28 V A 6 L 12 0 4
> 28 V A 6 L 12 0 4
> 28 V A 7 L 12 0 3
> 28 V A 7 L 12 0 3
> 28 V A 1 L 13 1 4
> 28 V A 1 L 13 1 4
> 28 V A 3 L 13 1 1
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> 28 V A 5 L 13 1 1
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> 28 V A 3 L 14 0 1
> 28 V A 1 L 15 1 1
> 28 V A 2 L 15 1 2
> 28 V A 3 L 15 1 4
> 28 V A 4 L 15 1 3
> 28 V A 4 L 15 1 3
> 28 V A 6 L 15 1 1
> 28 V A 7 L 15 1 2
> 28 V A 1 L 16 0 3
> 28 V A 3 L 16 0 1
> 28 V A 4 L 16 0 2
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> 28 V A 2 L 17 0 5
> 28 V A 2 L 17 0 5
> 28 V A 2 L 17 0 5
> 28 V A 4 L 17 0 2
> 28 V A 5 L 17 0 4
> 28 V A 2 L 18 0 1
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> 28 V A 5 L 18 0 3
> 28 V A 5 L 18 0 3
> 28 V A 5 L 18 0 3
> 28 V A 5 L 19 1 2
> 28 V A 2 L 20 0 1
> 29 V A 3 H 3 0 17
> 29 V A 1 H 4 1 13
> 29 V A 1 H 4 1 13
> 29 V A 1 H 4 1 13
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> 29 V A 4 H 7 1 1
> 29 V A 2 L 7 0 1
> 29 V A 5 L 7 0 4
> 29 V A 5 L 7 0 4
> 29 V A 5 L 7 0 4
> 29 V A 4 H 8 1 1
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> 29 V A 1 L 16 0 1
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> 29 V A 1 L 18 0 3
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> 29 V A 3 L 18 0 5
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> 29 V A 4 L 18 0 1
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> 29 V A 3 L 19 1 2
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> 29 V A 4 L 19 1 1
> 34 V J 2 H 4 1 5
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> 34 V J 2 H 6 1 1
> 34 V J 5 H 6 1 2
> 34 V J 4 L 6 1 1
> 34 V J 4 L 7 1 5
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> 34 V J 4 L 7 1 5
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> 34 V J 5 L 8 1 1
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> 34 V J 5 L 10 0 3
> 34 V J 5 L 10 0 3
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> 34 V J 1 L 11 1 4
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> 34 V J 5 L 12 0 2
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> 34 V J 2 L 14 0 2
> 34 V J 2 L 14 0 2
> 34 V J 1 L 14 0 1
> 34 V J 1 L 15 1 1
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> 34 V J 5 L 15 1 2
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> 34 V J 6 L 15 1 1
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> 34 V J 1 L 16 0 1
> 34 V J 5 L 16 0 1
> 34 V J 6 L 16 0 1
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> 34 V J 2 L 17 1 3
> 34 V J 2 L 17 1 3
> 34 V J 6 L 17 1 1
> 35 V J 1 H 4 1 2
> 35 V J 2 H 4 1 2
> 35 V J 2 H 4 1 2
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> 35 V J 4 H 4 1 4
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> 35 V J 5 H 4 1 1
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> 35 V J 1 L 7 1 2
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> 35 V J 4 L 11 1 4
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> 35 V J 6 L 13 1 1
> 35 V J 2 L 14 0 2
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> 35 V J 3 L 16 0 2
> 35 V J 4 L 16 0 1
> 40 P 0 5 H 4 1 8
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> 40 P 0 1 H 6 1 4
> 40 P 0 1 H 6 1 4
> 40 P 0 1 H 6 1 4
> 40 P 0 2 H 6 1 2
> 40 P 0 2 H 6 1 2
> 40 P 0 3 H 6 1 2
> 40 P 0 4 H 6 1 5
> 40 P 0 4 H 6 1 5
> 40 P 0 1 L 6 1 2
> 40 P 0 7 L 6 1 3
> 40 P 0 7 L 6 1 3
> 40 P 0 7 L 6 1 3
> 40 P 0 1 L 7 0 2
> 40 P 0 1 L 7 0 2
> 40 P 0 4 H 7 0 5
> 40 P 0 3 L 8 1 3
> 40 P 0 3 L 8 1 3
> 40 P 0 6 L 8 1 2
> 40 P 0 6 L 8 1 2
> 40 P 0 7 L 8 1 1
> 40 P 0 2 L 9 0 1
> 40 P 0 3 L 9 0 1
> 40 P 0 7 L 9 0 1
> 40 P 0 1 L 10 0 3
> 40 P 0 1 L 10 1 3
> 40 P 0 2 L 10 1 6
> 40 P 0 2 L 10 1 6
> 40 P 0 2 L 10 1 6
> 40 P 0 3 L 10 1 2
> 40 P 0 4 L 10 1 1
> 40 P 0 5 L 10 1 4
> 40 P 0 5 L 10 1 4
> 40 P 0 6 L 10 1 3
> 40 P 0 6 L 10 1 3
> 40 P 0 7 L 10 1 2
> 40 P 0 4 L 11 0 1
> 40 P 0 1 L 12 1 2
> 40 P 0 2 L 12 1 1
> 40 P 0 3 L 12 1 6
> 40 P 0 3 L 12 1 6
> 40 P 0 3 L 12 1 6
> 40 P 0 3 L 12 1 6
> 40 P 0 3 L 12 1 6
> 40 P 0 4 L 12 1 3
> 40 P 0 6 L 12 1 3
> 40 P 0 7 L 12 1 5
> 40 P 0 7 L 12 1 5
> 40 P 0 4 L 13 0 6
> 40 P 0 4 L 13 0 6
> 40 P 0 4 L 13 0 6
> 40 P 0 5 L 13 0 4
> 40 P 0 5 L 13 0 4
> 40 P 0 5 L 13 0 4
> 40 P 0 5 L 13 0 4
> 40 P 0 4 L 14 1 2
> 40 P 0 4 L 14 1 2
> 40 P 0 7 L 15 0 1
> 41 P 0 3 H 4 1 6
> 41 P 0 3 H 4 1 6
> 41 P 0 3 H 4 1 6
> 41 P 0 3 H 4 1 6
> 41 P 0 6 H 4 1 3
> 41 P 0 7 H 4 1 1
> 41 P 0 3 H 5 1 8
> 41 P 0 3 H 5 1 8
> 41 P 0 3 H 5 1 8
> 41 P 0 3 H 5 1 8
> 41 P 0 3 H 5 1 8
> 41 P 0 4 H 5 1 15
> 41 P 0 4 H 5 1 15
> 41 P 0 4 H 5 1 15
> 41 P 0 4 H 5 1 15
> 41 P 0 4 H 5 1 15
> 41 P 0 5 H 5 1 12
> 41 P 0 5 H 5 1 12
> 41 P 0 5 H 5 1 12
> 41 P 0 5 H 5 1 12
> 41 P 0 5 H 5 1 12
> 41 P 0 5 H 5 1 12
> 41 P 0 5 H 5 1 12
> 41 P 0 6 H 5 1 17
> 41 P 0 6 H 5 1 17
> 41 P 0 6 H 5 1 17
> 41 P 0 6 H 5 1 17
> 41 P 0 6 H 5 1 17
> 41 P 0 6 H 5 1 17
> 41 P 0 6 H 5 1 17
> 41 P 0 6 H 5 1 17
> 41 P 0 6 H 5 1 17
> 41 P 0 7 H 5 1 15
> 41 P 0 7 H 5 1 15
> 41 P 0 7 H 5 1 15
> 41 P 0 7 H 5 1 15
> 41 P 0 7 H 5 1 15
> 41 P 0 7 H 5 1 15
> 41 P 0 7 H 5 1 15
> 41 P 0 7 H 5 1 15
> 41 P 0 7 H 5 1 15
> 41 P 0 4 H 6 1 2
> 41 P 0 1 L 6 1 2
> 41 P 0 6 L 7 0 1
> 41 P 0 5 L 9 0 1
> 41 P 0 1 L 10 1 2
> 41 P 0 5 L 10 1 6
> 41 P 0 5 L 10 1 6
> 41 P 0 6 L 10 1 6
> 41 P 0 6 L 10 1 6
> 41 P 0 2 L 11 0 1
> 41 P 0 5 L 11 0 1
> 41 P 0 6 L 11 0 2
> 41 P 0 7 L 11 0 1
> 41 P 0 3 L 12 1 1
> 41 P 0 4 L 12 1 1
> 41 P 0 5 L 12 1 2
> 41 P 0 6 L 12 1 1
> 41 P 0 7 L 12 1 10
> 41 P 0 7 L 12 1 10
> 41 P 0 7 L 12 1 10
> 41 P 0 7 L 12 1 10
> 41 P 0 7 L 12 1 10
> 41 P 0 2 L 13 0 1
> 41 P 0 4 L 13 0 5
> 41 P 0 4 L 13 0 5
> 41 P 0 4 L 13 0 5
> 41 P 0 4 L 13 0 5
> 41 P 0 4 L 13 0 5
> 41 P 0 5 L 13 0 2
> 41 P 0 6 L 13 0 1
> 41 P 0 4 L 14 1 3
> 41 P 0 7 L 14 1 2
> 41 P 0 7 L 14 1 2
> 41 P 0 3 L 15 0 1
> 41 P 0 2 L 16 1 2
> 41 P 0 2 L 16 1 2
> 41 P 0 3 L 16 1 1
> 41 P 0 2 L 17 0 3
> 41 P 0 2 L 17 0 3
> 46 P A 6 H 4 1 3
> 46 P A 6 H 4 1 3
> 46 P A 6 H 4 1 3
> 46 P A 1 H 5 1 10
> 46 P A 1 H 5 1 10
> 46 P A 1 H 5 1 10
> 46 P A 1 H 5 1 10
> 46 P A 1 H 5 1 10
> 46 P A 1 H 5 1 10
> 46 P A 1 H 5 1 10
> 46 P A 1 H 5 1 10
> 46 P A 2 H 5 1 2
> 46 P A 3 H 5 1 17
> 46 P A 3 H 5 1 17
> 46 P A 3 H 5 1 17
> 46 P A 3 H 5 1 17
> 46 P A 3 H 5 1 17
> 46 P A 3 H 5 1 17
> 46 P A 3 H 5 1 17
> 46 P A 3 H 5 1 17
> 46 P A 3 H 5 1 17
> 46 P A 3 H 5 1 17
> 46 P A 3 H 5 1 17
> 46 P A 4 H 5 1 14
> 46 P A 4 H 5 1 14
> 46 P A 4 H 5 1 14
> 46 P A 4 H 5 1 14
> 46 P A 4 H 5 1 14
> 46 P A 4 H 5 1 14
> 46 P A 4 H 5 1 14
> 46 P A 4 H 5 1 14
> 46 P A 4 H 5 1 14
> 46 P A 5 H 5 1 8
> 46 P A 5 H 5 1 8
> 46 P A 5 H 5 1 8
> 46 P A 5 H 5 1 8
> 46 P A 5 H 5 1 8
> 46 P A 5 H 5 1 8
> 46 P A 6 H 5 1 10
> 46 P A 6 H 5 1 10
> 46 P A 6 H 5 1 10
> 46 P A 6 H 5 1 10
> 46 P A 6 H 5 1 10
> 46 P A 6 H 5 1 10
> 46 P A 6 H 5 1 10
> 46 P A 6 H 5 1 10
> 46 P A 7 H 5 1 16
> 46 P A 7 H 5 1 16
> 46 P A 7 H 5 1 16
> 46 P A 7 H 5 1 16
> 46 P A 7 H 5 1 16
> 46 P A 7 H 5 1 16
> 46 P A 7 H 5 1 16
> 46 P A 7 H 5 1 16
> 46 P A 7 H 5 1 16
> 46 P A 7 H 5 1 16
> 46 P A 7 H 5 1 16
> 46 P A 7 H 5 1 16
> 46 P A 2 H 6 1 15
> 46 P A 2 H 6 1 15
> 46 P A 2 H 6 1 15
> 46 P A 2 H 6 1 15
> 46 P A 2 H 6 1 15
> 46 P A 2 H 6 1 15
> 46 P A 2 H 6 1 15
> 46 P A 2 H 6 1 15
> 46 P A 2 H 6 1 15
> 46 P A 4 H 6 1 1
> 46 P A 5 H 6 1 1
> 46 P A 7 H 6 1 1
> 46 P A 2 H 7 1 2
> 46 P A 2 H 7 1 2
> 46 P A 1 L 8 1 1
> 46 P A 5 L 8 1 3
> 46 P A 5 L 8 1 3
> 46 P A 1 L 9 0 1
> 46 P A 4 L 9 0 2
> 46 P A 4 L 9 0 2
> 46 P A 6 L 9 0 1
> 46 P A 7 L 9 0 1
> 46 P A 4 L 10 1 1
> 46 P A 5 L 10 1 1
> 46 P A 1 L 12 1 4
> 46 P A 1 L 12 1 4
> 46 P A 1 L 12 1 4
> 46 P A 1 L 12 1 4
> 46 P A 2 L 12 1 7
> 46 P A 2 L 12 1 7
> 46 P A 2 L 12 1 7
> 46 P A 2 L 12 1 7
> 46 P A 2 L 12 1 7
> 46 P A 3 L 12 1 2
> 46 P A 3 L 12 1 2
> 46 P A 4 L 12 1 6
> 46 P A 4 L 12 1 6
> 46 P A 4 L 12 1 6
> 46 P A 4 L 12 1 6
> 46 P A 6 L 12 1 2
> 46 P A 6 L 12 1 2
> 46 P A 7 L 12 1 3
> 46 P A 7 L 12 1 3
> 46 P A 7 L 12 1 3
> 46 P A 2 L 13 0 2
> 46 P A 2 L 13 0 2
> 46 P A 2 L 14 1 2
> 46 P A 3 L 14 1 3
> 46 P A 3 L 14 1 3
> 46 P A 3 L 14 1 3
> 46 P A 6 L 14 1 2
> 46 P A 1 L 15 0 3
> 46 P A 7 L 15 0 2
> 46 P A 3 L 16 1 2
> 46 P A 7 L 16 1 7
> 46 P A 7 L 16 1 7
> 46 P A 7 L 16 1 7
> 46 P A 7 L 16 1 7
> 46 P A 7 L 16 1 7
> 46 P A 3 L 17 0 1
> 47 P A 2 H 4 1 2
> 47 P A 2 H 4 1 2
> 47 P A 5 H 4 1 5
> 47 P A 5 H 4 1 5
> 47 P A 5 H 4 1 5
> 47 P A 5 H 4 1 5
> 47 P A 1 H 5 1 10
> 47 P A 1 H 5 1 10
> 47 P A 1 H 5 1 10
> 47 P A 1 H 5 1 10
> 47 P A 1 H 5 1 10
> 47 P A 1 H 5 1 10
> 47 P A 1 H 5 1 10
> 47 P A 2 H 5 1 18
> 47 P A 2 H 5 1 18
> 47 P A 2 H 5 1 18
> 47 P A 2 H 5 1 18
> 47 P A 2 H 5 1 18
> 47 P A 2 H 5 1 18
> 47 P A 2 H 5 1 18
> 47 P A 2 H 5 1 18
> 47 P A 2 H 5 1 18
> 47 P A 3 H 5 1 14
> 47 P A 3 H 5 1 14
> 47 P A 3 H 5 1 14
> 47 P A 3 H 5 1 14
> 47 P A 3 H 5 1 14
> 47 P A 4 H 5 1 14
> 47 P A 4 H 5 1 14
> 47 P A 4 H 5 1 14
> 47 P A 4 H 5 1 14
> 47 P A 4 H 5 1 14
> 47 P A 4 H 5 1 14
> 47 P A 4 H 5 1 14
> 47 P A 4 H 5 1 14
> 47 P A 4 H 5 1 14
> 47 P A 5 H 5 1 10
> 47 P A 5 H 5 1 10
> 47 P A 5 H 5 1 10
> 47 P A 5 H 5 1 10
> 47 P A 5 H 5 1 10
> 47 P A 6 H 5 1 4
> 47 P A 7 H 5 1 18
> 47 P A 7 H 5 1 18
> 47 P A 7 H 5 1 18
> 47 P A 7 H 5 1 18
> 47 P A 7 H 5 1 18
> 47 P A 7 H 5 1 18
> 47 P A 7 H 5 1 18
> 47 P A 7 H 5 1 18
> 47 P A 7 H 5 1 18
> 47 P A 7 H 5 1 18
> 47 P A 7 H 5 1 18
> 47 P A 3 H 6 1 1
> 47 P A 4 H 6 1 1
> 47 P A 3 L 7 0 1
> 47 P A 3 L 8 1 4
> 47 P A 5 L 8 1 1
> 47 P A 6 L 8 1 1
> 47 P A 2 L 9 0 1
> 47 P A 5 L 9 0 2
> 47 P A 3 L 10 1 3
> 47 P A 3 L 10 1 3
> 47 P A 5 L 10 1 4
> 47 P A 5 L 10 1 4
> 47 P A 5 L 10 1 4
> 47 P A 2 L 11 0 4
> 47 P A 2 L 11 0 4
> 47 P A 6 L 11 0 4
> 47 P A 6 L 11 0 4
> 47 P A 4 L 12 1 2
> 47 P A 5 L 12 1 3
> 47 P A 6 L 12 1 4
> 47 P A 6 L 12 1 4
> 47 P A 7 L 12 1 2
> 47 P A 4 L 13 0 1
> 47 P A 6 L 13 0 1
> 47 P A 7 L 13 0 3
> 47 P A 2 L 14 1 3
> 47 P A 4 L 14 1 2
> 47 P A 6 L 14 1 3
> 47 P A 6 L 14 1 3
> 47 P A 7 L 14 1 1
> 47 P A 7 L 15 0 5
> 47 P A 7 L 15 0 5
> 47 P A 7 L 15 0 5
> 47 P A 1 L 16 1 1
> 47 P A 2 L 16 1 2
> 47 P A 4 L 16 1 5
> 47 P A 4 L 16 1 5
> 47 P A 4 L 16 1 5
> 47 P A 4 L 16 1 5
> 47 P A 7 L 16 1 3
> 47 P A 7 L 16 1 3
> 47 P A 1 L 17 0 2
> 47 P A 1 L 17 0 2
> 47 P A 4 L 17 0 1
> 47 P A 7 L 17 0 1
> 47 P A 4 L 18 1 2
> 47 P A 7 L 19 0 1
> 47 P A 1 L 20 1 1
> 52 P J 4 H 5 1 2
> 52 P J 4 H 5 1 2
> 52 P J 6 H 5 1 3
> 52 P J 6 H 5 1 3
> 52 P J 7 H 5 1 3
> 52 P J 1 H 6 1 6
> 52 P J 1 H 6 1 6
> 52 P J 1 H 6 1 6
> 52 P J 2 H 6 1 17
> 52 P J 2 H 6 1 17
> 52 P J 2 H 6 1 17
> 52 P J 2 H 6 1 17
> 52 P J 2 H 6 1 17
> 52 P J 2 H 6 1 17
> 52 P J 2 H 6 1 17
> 52 P J 2 H 6 1 17
> 52 P J 2 H 6 1 17
> 52 P J 2 H 6 1 17
> 52 P J 3 H 6 1 13
> 52 P J 3 H 6 1 13
> 52 P J 3 H 6 1 13
> 52 P J 3 H 6 1 13
> 52 P J 3 H 6 1 13
> 52 P J 3 H 6 1 13
> 52 P J 3 H 6 1 13
> 52 P J 3 H 6 1 13
> 52 P J 3 H 6 1 13
> 52 P J 3 H 6 1 13
> 52 P J 4 H 6 1 16
> 52 P J 4 H 6 1 16
> 52 P J 4 H 6 1 16
> 52 P J 4 H 6 1 16
> 52 P J 4 H 6 1 16
> 52 P J 4 H 6 1 16
> 52 P J 4 H 6 1 16
> 52 P J 4 H 6 1 16
> 52 P J 4 H 6 1 16
> 52 P J 4 H 6 1 16
> 52 P J 5 H 6 1 12
> 52 P J 5 H 6 1 12
> 52 P J 5 H 6 1 12
> 52 P J 6 H 6 1 10
> 52 P J 6 H 6 1 10
> 52 P J 6 H 6 1 10
> 52 P J 6 H 6 1 10
> 52 P J 6 H 6 1 10
> 52 P J 6 H 6 1 10
> 52 P J 6 H 6 1 10
> 52 P J 7 H 6 1 8
> 52 P J 7 H 6 1 8
> 52 P J 7 H 6 1 8
> 52 P J 7 H 6 1 8
> 52 P J 7 H 6 1 8
> 52 P J 7 H 6 1 8
> 52 P J 7 H 6 1 8
> 52 P J 3 H 7 1 1
> 52 P J 6 H 7 1 1
> 52 P J 5 L 7 1 2
> 52 P J 5 L 7 1 2
> 52 P J 7 L 7 1 1
> 52 P J 1 L 8 0 1
> 52 P J 2 L 9 1 1
> 52 P J 5 L 9 1 1
> 52 P J 7 L 9 1 2
> 52 P J 3 L 10 0 2
> 52 P J 3 L 10 0 2
> 52 P J 4 L 10 0 3
> 52 P J 7 L 10 0 1
> 52 P J 1 L 11 1 2
> 52 P J 3 L 11 1 2
> 52 P J 3 L 11 1 2
> 52 P J 4 L 11 1 2
> 52 P J 5 L 11 1 4
> 52 P J 5 L 11 1 4
> 52 P J 5 L 11 1 4
> 52 P J 5 L 11 1 4
> 52 P J 6 L 11 1 2
> 52 P J 6 L 11 1 2
> 52 P J 7 L 11 1 2
> 52 P J 2 L 12 0 1
> 52 P J 3 L 12 0 2
> 52 P J 3 L 12 0 2
> 52 P J 5 L 12 0 1
> 52 P J 6 L 12 0 1
> 52 P J 1 L 13 1 2
> 52 P J 2 L 13 1 1
> 52 P J 4 L 13 1 1
> 52 P J 5 L 13 1 6
> 52 P J 5 L 13 1 6
> 52 P J 6 L 13 1 2
> 52 P J 6 L 13 1 2
> 52 P J 1 L 14 0 3
> 52 P J 2 L 14 0 3
> 52 P J 4 L 14 0 1
> 52 P J 1 L 15 1 1
> 52 P J 2 L 15 1 2
> 52 P J 2 L 15 1 2
> 52 P J 3 L 15 1 1
> 52 P J 6 L 15 1 4
> 52 P J 6 L 15 1 4
> 52 P J 6 L 15 1 4
> 52 P J 1 L 16 0 1
> 52 P J 4 L 16 0 1
> 52 P J 2 L 17 1 1
> 53 P J 7 H 5 1 1
> 53 P J 1 H 6 1 11
> 53 P J 1 H 6 1 11
> 53 P J 1 H 6 1 11
> 53 P J 1 H 6 1 11
> 53 P J 1 H 6 1 11
> 53 P J 1 H 6 1 11
> 53 P J 1 H 6 1 11
> 53 P J 2 H 6 1 10
> 53 P J 2 H 6 1 10
> 53 P J 2 H 6 1 10
> 53 P J 2 H 6 1 10
> 53 P J 2 H 6 1 10
> 53 P J 2 H 6 1 10
> 53 P J 2 H 6 1 10
> 53 P J 3 H 6 1 14
> 53 P J 3 H 6 1 14
> 53 P J 3 H 6 1 14
> 53 P J 3 H 6 1 14
> 53 P J 3 H 6 1 14
> 53 P J 3 H 6 1 14
> 53 P J 4 H 6 1 18
> 53 P J 4 H 6 1 18
> 53 P J 4 H 6 1 18
> 53 P J 4 H 6 1 18
> 53 P J 4 H 6 1 18
> 53 P J 4 H 6 1 18
> 53 P J 4 H 6 1 18
> 53 P J 4 H 6 1 18
> 53 P J 4 H 6 1 18
> 53 P J 5 H 6 1 17
> 53 P J 5 H 6 1 17
> 53 P J 5 H 6 1 17
> 53 P J 5 H 6 1 17
> 53 P J 6 H 6 1 11
> 53 P J 6 H 6 1 11
> 53 P J 6 H 6 1 11
> 53 P J 6 H 6 1 11
> 53 P J 6 H 6 1 11
> 53 P J 6 H 6 1 11
> 53 P J 7 H 6 1 9
> 53 P J 7 H 6 1 9
> 53 P J 7 H 6 1 9
> 53 P J 7 H 6 1 9
> 53 P J 7 H 6 1 9
> 53 P J 7 H 6 1 9
> 53 P J 1 H 7 1 2
> 53 P J 2 H 7 1 4
> 53 P J 2 H 7 1 4
> 53 P J 3 H 7 1 1
> 53 P J 4 H 7 1 1
> 53 P J 1 L 7 1 4
> 53 P J 1 L 7 1 4
> 53 P J 2 L 7 1 1
> 53 P J 1 L 9 1 2
> 53 P J 2 L 9 1 3
> 53 P J 2 L 9 1 3
> 53 P J 2 L 9 1 3
> 53 P J 4 L 9 1 2
> 53 P J 7 L 9 1 4
> 53 P J 7 L 9 1 4
> 53 P J 7 L 9 1 4
> 53 P J 2 L 10 0 2
> 53 P J 3 L 10 0 1
> 53 P J 1 L 11 1 4
> 53 P J 3 L 11 1 6
> 53 P J 3 L 11 1 6
> 53 P J 5 L 11 1 2
> 53 P J 7 L 11 1 6
> 53 P J 7 L 11 1 6
> 53 P J 7 L 11 1 6
> 53 P J 4 L 12 0 3
> 53 P J 5 L 12 0 4
> 53 P J 5 L 12 0 4
> 53 P J 1 L 13 1 3
> 53 P J 3 L 13 1 1
> 53 P J 4 L 13 1 3
> 53 P J 4 L 13 1 3
> 53 P J 1 L 14 0 2
> 53 P J 3 L 14 0 5
> 53 P J 3 L 14 0 5
> 53 P J 3 L 14 0 5
> 53 P J 3 L 14 0 5
> 53 P J 5 L 14 0 4
> 53 P J 5 L 14 0 4
> 53 P J 5 L 14 0 4
> 53 P J 6 L 14 0 4
> 53 P J 6 L 14 0 4
> 53 P J 6 L 14 0 4
> 53 P J 6 L 14 0 4
> 53 P J 3 L 15 1 1
> 53 P J 5 L 15 1 3
> 53 P J 5 L 15 1 3
> 53 P J 6 L 15 1 4
> 53 P J 6 L 17 1 6
> 53 P J 6 L 18 0 1
>
>
> library(MASS)
> library(repeated)
> library(rmutil)
> library(lme4)
> test<-read.table("...........\\test.txt",header=T)
> attach(test)
> names(test)
> sapply(test, class)
> test$pop <- factor(test$pop)
> test$rep <- factor(test$rep)
>
> m3<-lmer(dev~env*har*treat+dens + (1|pop/rep), family = Gamma)
>
> summary(m3)
> anova(m3)
>
> m3.means<-colMeans(mcmcsamp(m3,10000,trans=FALSE))
> m3.mcmc<-mcmcsamp(m3,10000,trans=FALSE)
> qqmath(m3.mcmc)
> library(coda)
> summary(m3.mcmc)
>
>
>
> ........................................................................
> ............
> Dr Tom C Cameron
> Genetics, Ecology and Evolution
> IICB, University of Leeds
> Leeds, UK
> Office: +44 (0)113 343 2837
> Lab: +44 (0)113 343 2854
> Fax: +44 (0)113 343 2835
>
>
> Email: t.c.cameron at leeds.ac.uk
> Webpage: click here
> <http://www.fbs.leeds.ac.uk/staff/profile.php?tag=Cameron_TC>
>
>
>
> [[alternative HTML version deleted]]
>
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