================================================================

ANALISIS RANCANGAN ACAK KELOMPOK (RAK)

DENGAN MIXED EFFECT MODEL

Data : 20 Genotype x 6 Environment x 3 Replication

Respon : Yield

Fixed Effect :

1. Genotype

2. Environment

3. Genotype x Environment

Random Effect :

Replication yang tersarang dalam Environment

Model:

Y_ijk = mu + G_i + E_j + (GE)_ij + B_k(j) + e_ijk

================================================================

================================================================

2. LOAD PACKAGE

================================================================

library(readxl)
library(lme4)
## Loading required package: Matrix
library(lmerTest)
## 
## Attaching package: 'lmerTest'
## The following object is masked from 'package:lme4':
## 
##     lmer
## The following object is masked from 'package:stats':
## 
##     step
library(emmeans)
## Welcome to emmeans.
## Caution: You lose important information if you filter this package's results.
## See '? untidy'
library(multcomp)
## Loading required package: mvtnorm
## Loading required package: survival
## Loading required package: TH.data
## Loading required package: MASS
## 
## Attaching package: 'TH.data'
## The following object is masked from 'package:MASS':
## 
##     geyser
library(performance)

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3. IMPORT DATA

================================================================

data <- read_excel(
  "D:/STATISTIKA/SEM 5/Pemodelan Statistika/Pekan 1-8/Tugas Artikel Mixed Effect/Dataset.xlsx",
  sheet = "Y + BM"
)

================================================================

4. MELIHAT STRUKTUR DATA

================================================================

head(data)
## # A tibble: 6 × 5
##   Genotype Environment Replications Yield Biomass
##   <chr>    <chr>              <dbl> <dbl>   <dbl>
## 1 R1 - 1   E1                     1  3.47    635 
## 2 R1 - 1   E1                     2  5      1093 
## 3 R1 - 1   E1                     3  4.23   1061 
## 4 R1 - 20  E1                     1  4.8     956.
## 5 R1 - 20  E1                     2  3.67    876.
## 6 R1 - 20  E1                     3  4.23    789
str(data)
## tibble [360 × 5] (S3: tbl_df/tbl/data.frame)
##  $ Genotype    : chr [1:360] "R1 - 1" "R1 - 1" "R1 - 1" "R1 - 20" ...
##  $ Environment : chr [1:360] "E1" "E1" "E1" "E1" ...
##  $ Replications: num [1:360] 1 2 3 1 2 3 1 2 3 1 ...
##  $ Yield       : num [1:360] 3.47 5 4.23 4.8 3.67 ...
##  $ Biomass     : num [1:360] 635 1093 1061 956 876 ...
dim(data)
## [1] 360   5
summary(data)
##       Genotype      Environment   Replications     Yield       
##  Length   :360   Length   :360   Min.   :1     Min.   : 1.133  
##  N.unique : 20   N.unique :  6   1st Qu.:1     1st Qu.: 4.000  
##  N.blank  :  0   N.blank  :  0   Median :2     Median : 5.367  
##  Min.nchar:  3   Min.nchar:  2   Mean   :2     Mean   : 5.781  
##  Max.nchar:  7   Max.nchar:  2   3rd Qu.:3     3rd Qu.: 7.117  
##                                  Max.   :3     Max.   :18.467  
##     Biomass      
##  Min.   :  66.0  
##  1st Qu.: 360.0  
##  Median : 641.8  
##  Mean   : 658.8  
##  3rd Qu.: 908.8  
##  Max.   :1637.5

================================================================

5. MENGUBAH VARIABEL MENJADI FACTOR

================================================================

data$Genotype <- factor(data$Genotype)

data$Environment <- factor(data$Environment)

data$Replications <- factor(data$Replications)


# Melihat jumlah level
nlevels(data$Genotype)
## [1] 20
nlevels(data$Environment)
## [1] 6
nlevels(data$Replications)
## [1] 3

================================================================

6. PEMERIKSAAN STRUKTUR RANCANGAN

================================================================

# Jumlah replication pada setiap environment
table(
  data$Environment,
  data$Replications
)
##     
##       1  2  3
##   E1 20 20 20
##   E2 20 20 20
##   E3 20 20 20
##   E4 20 20 20
##   E5 20 20 20
##   E6 20 20 20
# Jumlah observasi setiap kombinasi Genotype x Environment
table(
  data$Genotype,
  data$Environment
)
##          
##           E1 E2 E3 E4 E5 E6
##   R1 - 1   3  3  3  3  3  3
##   R1 - 20  3  3  3  3  3  3
##   R2 - 10  3  3  3  3  3  3
##   R2 - 15  3  3  3  3  3  3
##   R3 - 1   3  3  3  3  3  3
##   R3 - 10  3  3  3  3  3  3
##   R3 - 14  3  3  3  3  3  3
##   R3 - 17  3  3  3  3  3  3
##   R3 - 19  3  3  3  3  3  3
##   R3 - 4   3  3  3  3  3  3
##   R3 - 7   3  3  3  3  3  3
##   R3 - 9   3  3  3  3  3  3
##   R4 - 1   3  3  3  3  3  3
##   R4 - 14  3  3  3  3  3  3
##   R4 - 6   3  3  3  3  3  3
##   R4 - 8   3  3  3  3  3  3
##   SC1      3  3  3  3  3  3
##   SC2      3  3  3  3  3  3
##   SC3      3  3  3  3  3  3
##   SC4      3  3  3  3  3  3
# Jumlah observasi
nrow(data)
## [1] 360

================================================================

7. CEK MISSING VALUE

================================================================

colSums(is.na(data))
##     Genotype  Environment Replications        Yield      Biomass 
##            0            0            0            0            0

================================================================

8. STATISTIK DESKRIPTIF YIELD

================================================================

summary(data$Yield)
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
##   1.133   4.000   5.367   5.781   7.117  18.467
# Rata-rata Yield keseluruhan
mean(data$Yield)
## [1] 5.780851
# Rata-rata Yield berdasarkan Genotype
aggregate(
  Yield ~ Genotype,
  data = data,
  FUN = mean
)
##    Genotype    Yield
## 1    R1 - 1 5.783352
## 2   R1 - 20 5.338911
## 3   R2 - 10 8.005575
## 4   R2 - 15 5.461127
## 5    R3 - 1 5.694461
## 6   R3 - 10 8.627804
## 7   R3 - 14 3.961125
## 8   R3 - 17 5.609276
## 9   R3 - 19 6.238911
## 10   R3 - 4 4.896313
## 11   R3 - 7 6.577799
## 12   R3 - 9 5.729648
## 13   R4 - 1 6.994461
## 14  R4 - 14 5.587982
## 15   R4 - 6 5.629649
## 16   R4 - 8 4.941678
## 17      SC1 5.800014
## 18      SC2 5.287054
## 19      SC3 4.946312
## 20      SC4 4.505570
# Rata-rata Yield berdasarkan Environment
aggregate(
  Yield ~ Environment,
  data = data,
  FUN = mean
)
##   Environment    Yield
## 1          E1 5.740000
## 2          E2 4.940858
## 3          E3 6.221142
## 4          E4 7.573333
## 5          E5 4.902247
## 6          E6 5.307527
# Rata-rata Yield berdasarkan Genotype dan Environment
aggregate(
  Yield ~ Genotype + Environment,
  data = data,
  FUN = mean
)
##     Genotype Environment     Yield
## 1     R1 - 1          E1  4.233333
## 2    R1 - 20          E1  4.233333
## 3    R2 - 10          E1  8.900000
## 4    R2 - 15          E1  7.266667
## 5     R3 - 1          E1  7.066667
## 6    R3 - 10          E1  6.866667
## 7    R3 - 14          E1  3.800000
## 8    R3 - 17          E1  6.022222
## 9    R3 - 19          E1  5.433333
## 10    R3 - 4          E1  5.711111
## 11    R3 - 7          E1  3.666667
## 12    R3 - 9          E1  4.866667
## 13    R4 - 1          E1  7.600000
## 14   R4 - 14          E1  3.266667
## 15    R4 - 6          E1  7.300000
## 16    R4 - 8          E1  8.800000
## 17       SC1          E1  6.800000
## 18       SC2          E1  2.733333
## 19       SC3          E1  4.600000
## 20       SC4          E1  5.633333
## 21    R1 - 1          E2  4.366689
## 22   R1 - 20          E2  5.266693
## 23   R2 - 10          E2  4.333355
## 24   R2 - 15          E2  2.433346
## 25    R3 - 1          E2  3.466684
## 26   R3 - 10          E2  6.533366
## 27   R3 - 14          E2  5.000025
## 28   R3 - 17          E2  4.233354
## 29   R3 - 19          E2  2.766681
## 30    R3 - 4          E2  6.400032
## 31    R3 - 7          E2  7.066702
## 32    R3 - 9          E2  4.766691
## 33    R4 - 1          E2  7.266703
## 34   R4 - 14          E2  6.050030
## 35    R4 - 6          E2  6.400032
## 36    R4 - 8          E2  5.033359
## 37       SC1          E2  4.133354
## 38       SC2          E2  5.200026
## 39       SC3          E2  5.133359
## 40       SC4          E2  2.966681
## 41    R1 - 1          E3  6.333365
## 42   R1 - 20          E3  8.200041
## 43   R2 - 10          E3  6.066697
## 44   R2 - 15          E3  6.833368
## 45    R3 - 1          E3  8.666710
## 46   R3 - 10          E3  7.766706
## 47   R3 - 14          E3  4.166688
## 48   R3 - 17          E3  7.066702
## 49   R3 - 19          E3  5.133359
## 50    R3 - 4          E3  4.200021
## 51    R3 - 7          E3 10.600053
## 52    R3 - 9          E3  6.444477
## 53    R4 - 1          E3  6.566700
## 54   R4 - 14          E3  8.911156
## 55    R4 - 6          E3  5.066692
## 56    R4 - 8          E3  2.533346
## 57       SC1          E3  3.700019
## 58       SC2          E3  4.466689
## 59       SC3          E3  5.866696
## 60       SC4          E3  5.833362
## 61    R1 - 1          E4  8.033333
## 62   R1 - 20          E4  1.566667
## 63   R2 - 10          E4 15.333333
## 64   R2 - 15          E4  6.766667
## 65    R3 - 1          E4  7.000000
## 66   R3 - 10          E4 13.400000
## 67   R3 - 14          E4  2.733333
## 68   R3 - 17          E4  8.066667
## 69   R3 - 19          E4  5.400000
## 70    R3 - 4          E4  4.133333
## 71    R3 - 7          E4 10.466667
## 72    R3 - 9          E4  7.416667
## 73    R4 - 1          E4 14.000000
## 74   R4 - 14          E4  7.433333
## 75    R4 - 6          E4  3.066667
## 76    R4 - 8          E4  7.716667
## 77       SC1          E4 11.066667
## 78       SC2          E4  8.366667
## 79       SC3          E4  5.700000
## 80       SC4          E4  3.800000
## 81    R1 - 1          E5  9.333380
## 82   R1 - 20          E5  6.933368
## 83   R2 - 10          E5  5.000025
## 84   R2 - 15          E5  7.933373
## 85    R3 - 1          E5  2.633347
## 86   R3 - 10          E5  5.766695
## 87   R3 - 14          E5  4.866691
## 88   R3 - 17          E5  3.366684
## 89   R3 - 19          E5  3.633351
## 90    R3 - 4          E5  6.833367
## 91    R3 - 7          E5  5.466694
## 92    R3 - 9          E5  4.966691
## 93    R4 - 1          E5  2.433346
## 94   R4 - 14          E5  2.933348
## 95    R4 - 6          E5  2.311123
## 96    R4 - 8          E5  2.100010
## 97       SC1          E5  4.800024
## 98       SC2          E5  5.288915
## 99       SC3          E5  5.644473
## 100      SC4          E5  5.800029
## 101   R1 - 1          E6  2.400012
## 102  R1 - 20          E6  5.833362
## 103  R2 - 10          E6  8.400042
## 104  R2 - 15          E6  1.533341
## 105   R3 - 1          E6  5.333360
## 106  R3 - 10          E6 11.433390
## 107  R3 - 14          E6  3.200016
## 108  R3 - 17          E6  4.900024
## 109  R3 - 19          E6 15.066742
## 110   R3 - 4          E6  2.100010
## 111   R3 - 7          E6  2.200011
## 112   R3 - 9          E6  5.916696
## 113   R4 - 1          E6  4.100021
## 114  R4 - 14          E6  4.933358
## 115   R4 - 6          E6  9.633382
## 116   R4 - 8          E6  3.466684
## 117      SC1          E6  4.300021
## 118      SC2          E6  5.666695
## 119      SC3          E6  2.733347
## 120      SC4          E6  3.000015

================================================================

9. VISUALISASI AWAL

================================================================

# Boxplot Yield berdasarkan Genotype
boxplot(
  Yield ~ Genotype,
  data = data,
  las = 2,
  main = "Distribusi Yield berdasarkan Genotype",
  xlab = "Genotype",
  ylab = "Yield"
)

# Boxplot Yield berdasarkan Environment
boxplot(
  Yield ~ Environment,
  data = data,
  main = "Distribusi Yield berdasarkan Environment",
  xlab = "Environment",
  ylab = "Yield"
)

# ================================================================ # 10. MEMBANGUN MODEL MIXED EFFECT # ================================================================ # # Model: # # Y_ijk = # mu + G_i + E_j + (GE)_ij + B_k(j) + e_ijk # # G_i = Fixed effect Genotype # E_j = Fixed effect Environment # GE_ij = Fixed effect interaksi # B_k(j) = Random effect Replication nested dalam Environment # e_ijk = Random error # # ================================================================

model_yield <- lmer(
  Yield ~ Genotype * Environment +
    (1 | Environment:Replications),
  data = data,
  REML = TRUE
)

================================================================

11. RINGKASAN MODEL

================================================================

summary(model_yield)
## Linear mixed model fit by REML. t-tests use Satterthwaite's method [
## lmerModLmerTest]
## Formula: Yield ~ Genotype * Environment + (1 | Environment:Replications)
##    Data: data
## 
## REML criterion at convergence: 770.3
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -4.4372 -0.1681 -0.0115  0.2045  4.5136 
## 
## Random effects:
##  Groups                   Name        Variance Std.Dev.
##  Environment:Replications (Intercept) 0.02313  0.1521  
##  Residual                             0.81877  0.9049  
## Number of obs: 360, groups:  Environment:Replications, 18
## 
## Fixed effects:
##                                 Estimate Std. Error         df t value Pr(>|t|)
## (Intercept)                    4.233e+00  5.297e-01  2.366e+02   7.991 5.86e-14
## GenotypeR1 - 20                4.811e-14  7.388e-01  2.280e+02   0.000 1.000000
## GenotypeR2 - 10                4.667e+00  7.388e-01  2.280e+02   6.316 1.39e-09
## GenotypeR2 - 15                3.033e+00  7.388e-01  2.280e+02   4.106 5.62e-05
## GenotypeR3 - 1                 2.833e+00  7.388e-01  2.280e+02   3.835 0.000163
## GenotypeR3 - 10                2.633e+00  7.388e-01  2.280e+02   3.564 0.000444
## GenotypeR3 - 14               -4.333e-01  7.388e-01  2.280e+02  -0.587 0.558103
## GenotypeR3 - 17                1.789e+00  7.388e-01  2.280e+02   2.421 0.016247
## GenotypeR3 - 19                1.200e+00  7.388e-01  2.280e+02   1.624 0.105710
## GenotypeR3 - 4                 1.478e+00  7.388e-01  2.280e+02   2.000 0.046665
## GenotypeR3 - 7                -5.667e-01  7.388e-01  2.280e+02  -0.767 0.443878
## GenotypeR3 - 9                 6.333e-01  7.388e-01  2.280e+02   0.857 0.392219
## GenotypeR4 - 1                 3.367e+00  7.388e-01  2.280e+02   4.557 8.47e-06
## GenotypeR4 - 14               -9.667e-01  7.388e-01  2.280e+02  -1.308 0.192054
## GenotypeR4 - 6                 3.067e+00  7.388e-01  2.280e+02   4.151 4.68e-05
## GenotypeR4 - 8                 4.567e+00  7.388e-01  2.280e+02   6.181 2.91e-09
## GenotypeSC1                    2.567e+00  7.388e-01  2.280e+02   3.474 0.000613
## GenotypeSC2                   -1.500e+00  7.388e-01  2.280e+02  -2.030 0.043489
## GenotypeSC3                    3.667e-01  7.388e-01  2.280e+02   0.496 0.620168
## GenotypeSC4                    1.400e+00  7.388e-01  2.280e+02   1.895 0.059367
## EnvironmentE2                  1.334e-01  7.492e-01  2.366e+02   0.178 0.858873
## EnvironmentE3                  2.100e+00  7.492e-01  2.366e+02   2.803 0.005481
## EnvironmentE4                  3.800e+00  7.492e-01  2.366e+02   5.072 7.94e-07
## EnvironmentE5                  5.100e+00  7.492e-01  2.366e+02   6.808 8.10e-11
## EnvironmentE6                 -1.833e+00  7.492e-01  2.366e+02  -2.447 0.015129
## GenotypeR1 - 20:EnvironmentE2  9.000e-01  1.045e+00  2.280e+02   0.861 0.389935
## GenotypeR2 - 10:EnvironmentE2 -4.700e+00  1.045e+00  2.280e+02  -4.498 1.09e-05
## GenotypeR2 - 15:EnvironmentE2 -4.967e+00  1.045e+00  2.280e+02  -4.754 3.54e-06
## GenotypeR3 - 1:EnvironmentE2  -3.733e+00  1.045e+00  2.280e+02  -3.573 0.000430
## GenotypeR3 - 10:EnvironmentE2 -4.667e-01  1.045e+00  2.280e+02  -0.447 0.655567
## GenotypeR3 - 14:EnvironmentE2  1.067e+00  1.045e+00  2.280e+02   1.021 0.308388
## GenotypeR3 - 17:EnvironmentE2 -1.922e+00  1.045e+00  2.280e+02  -1.840 0.067109
## GenotypeR3 - 19:EnvironmentE2 -2.800e+00  1.045e+00  2.280e+02  -2.680 0.007903
## GenotypeR3 - 4:EnvironmentE2   5.556e-01  1.045e+00  2.280e+02   0.532 0.595436
## GenotypeR3 - 7:EnvironmentE2   3.267e+00  1.045e+00  2.280e+02   3.126 0.001999
## GenotypeR3 - 9:EnvironmentE2  -2.333e-01  1.045e+00  2.280e+02  -0.223 0.823488
## GenotypeR4 - 1:EnvironmentE2  -4.667e-01  1.045e+00  2.280e+02  -0.447 0.655570
## GenotypeR4 - 14:EnvironmentE2  2.650e+00  1.045e+00  2.280e+02   2.536 0.011873
## GenotypeR4 - 6:EnvironmentE2  -1.033e+00  1.045e+00  2.280e+02  -0.989 0.323723
## GenotypeR4 - 8:EnvironmentE2  -3.900e+00  1.045e+00  2.280e+02  -3.733 0.000239
## GenotypeSC1:EnvironmentE2     -2.800e+00  1.045e+00  2.280e+02  -2.680 0.007903
## GenotypeSC2:EnvironmentE2      2.333e+00  1.045e+00  2.280e+02   2.233 0.026507
## GenotypeSC3:EnvironmentE2      4.000e-01  1.045e+00  2.280e+02   0.383 0.702198
## GenotypeSC4:EnvironmentE2     -2.800e+00  1.045e+00  2.280e+02  -2.680 0.007903
## GenotypeR1 - 20:EnvironmentE3  1.867e+00  1.045e+00  2.280e+02   1.787 0.075337
## GenotypeR2 - 10:EnvironmentE3 -4.933e+00  1.045e+00  2.280e+02  -4.722 4.09e-06
## GenotypeR2 - 15:EnvironmentE3 -2.533e+00  1.045e+00  2.280e+02  -2.425 0.016104
## GenotypeR3 - 1:EnvironmentE3  -5.000e-01  1.045e+00  2.280e+02  -0.479 0.632732
## GenotypeR3 - 10:EnvironmentE3 -1.200e+00  1.045e+00  2.280e+02  -1.148 0.251969
## GenotypeR3 - 14:EnvironmentE3 -1.733e+00  1.045e+00  2.280e+02  -1.659 0.098500
## GenotypeR3 - 17:EnvironmentE3 -1.056e+00  1.045e+00  2.280e+02  -1.010 0.313446
## GenotypeR3 - 19:EnvironmentE3 -2.400e+00  1.045e+00  2.280e+02  -2.297 0.022526
## GenotypeR3 - 4:EnvironmentE3  -3.611e+00  1.045e+00  2.280e+02  -3.456 0.000653
## GenotypeR3 - 7:EnvironmentE3   4.833e+00  1.045e+00  2.280e+02   4.626 6.25e-06
## GenotypeR3 - 9:EnvironmentE3  -5.222e-01  1.045e+00  2.280e+02  -0.500 0.617691
## GenotypeR4 - 1:EnvironmentE3  -3.133e+00  1.045e+00  2.280e+02  -2.999 0.003011
## GenotypeR4 - 14:EnvironmentE3  3.544e+00  1.045e+00  2.280e+02   3.392 0.000817
## GenotypeR4 - 6:EnvironmentE3  -4.333e+00  1.045e+00  2.280e+02  -4.147 4.75e-05
## GenotypeR4 - 8:EnvironmentE3  -8.367e+00  1.045e+00  2.280e+02  -8.008 5.96e-14
## GenotypeSC1:EnvironmentE3     -5.200e+00  1.045e+00  2.280e+02  -4.977 1.27e-06
## GenotypeSC2:EnvironmentE3     -3.667e-01  1.045e+00  2.280e+02  -0.351 0.725958
## GenotypeSC3:EnvironmentE3     -8.333e-01  1.045e+00  2.280e+02  -0.798 0.425949
## GenotypeSC4:EnvironmentE3     -1.900e+00  1.045e+00  2.280e+02  -1.818 0.070306
## GenotypeR1 - 20:EnvironmentE4 -6.467e+00  1.045e+00  2.280e+02  -6.189 2.78e-09
## GenotypeR2 - 10:EnvironmentE4  2.633e+00  1.045e+00  2.280e+02   2.520 0.012409
## GenotypeR2 - 15:EnvironmentE4 -4.300e+00  1.045e+00  2.280e+02  -4.115 5.40e-05
## GenotypeR3 - 1:EnvironmentE4  -3.867e+00  1.045e+00  2.280e+02  -3.701 0.000270
## GenotypeR3 - 10:EnvironmentE4  2.733e+00  1.045e+00  2.280e+02   2.616 0.009490
## GenotypeR3 - 14:EnvironmentE4 -4.867e+00  1.045e+00  2.280e+02  -4.658 5.43e-06
## GenotypeR3 - 17:EnvironmentE4 -1.756e+00  1.045e+00  2.280e+02  -1.680 0.094286
## GenotypeR3 - 19:EnvironmentE4 -3.833e+00  1.045e+00  2.280e+02  -3.669 0.000303
## GenotypeR3 - 4:EnvironmentE4  -5.378e+00  1.045e+00  2.280e+02  -5.147 5.71e-07
## GenotypeR3 - 7:EnvironmentE4   3.000e+00  1.045e+00  2.280e+02   2.871 0.004474
## GenotypeR3 - 9:EnvironmentE4  -1.250e+00  1.045e+00  2.280e+02  -1.196 0.232801
## GenotypeR4 - 1:EnvironmentE4   2.600e+00  1.045e+00  2.280e+02   2.488 0.013547
## GenotypeR4 - 14:EnvironmentE4  3.667e-01  1.045e+00  2.280e+02   0.351 0.725965
## GenotypeR4 - 6:EnvironmentE4  -8.033e+00  1.045e+00  2.280e+02  -7.689 4.42e-13
## GenotypeR4 - 8:EnvironmentE4  -4.883e+00  1.045e+00  2.280e+02  -4.674 5.06e-06
## GenotypeSC1:EnvironmentE4      4.667e-01  1.045e+00  2.280e+02   0.447 0.655560
## GenotypeSC2:EnvironmentE4      1.833e+00  1.045e+00  2.280e+02   1.755 0.080662
## GenotypeSC3:EnvironmentE4     -2.700e+00  1.045e+00  2.280e+02  -2.584 0.010386
## GenotypeSC4:EnvironmentE4     -5.633e+00  1.045e+00  2.280e+02  -5.392 1.74e-07
## GenotypeR1 - 20:EnvironmentE5 -2.400e+00  1.045e+00  2.280e+02  -2.297 0.022526
## GenotypeR2 - 10:EnvironmentE5 -9.000e+00  1.045e+00  2.280e+02  -8.614 1.18e-15
## GenotypeR2 - 15:EnvironmentE5 -4.433e+00  1.045e+00  2.280e+02  -4.243 3.21e-05
## GenotypeR3 - 1:EnvironmentE5  -9.533e+00  1.045e+00  2.280e+02  -9.124  < 2e-16
## GenotypeR3 - 10:EnvironmentE5 -6.200e+00  1.045e+00  2.280e+02  -5.934 1.09e-08
## GenotypeR3 - 14:EnvironmentE5 -4.033e+00  1.045e+00  2.280e+02  -3.860 0.000148
## GenotypeR3 - 17:EnvironmentE5 -7.756e+00  1.045e+00  2.280e+02  -7.423 2.26e-12
## GenotypeR3 - 19:EnvironmentE5 -6.900e+00  1.045e+00  2.280e+02  -6.604 2.78e-10
## GenotypeR3 - 4:EnvironmentE5  -3.978e+00  1.045e+00  2.280e+02  -3.807 0.000181
## GenotypeR3 - 7:EnvironmentE5  -3.300e+00  1.045e+00  2.280e+02  -3.158 0.001801
## GenotypeR3 - 9:EnvironmentE5  -5.000e+00  1.045e+00  2.280e+02  -4.785 3.07e-06
## GenotypeR4 - 1:EnvironmentE5  -1.027e+01  1.045e+00  2.280e+02  -9.826  < 2e-16
## GenotypeR4 - 14:EnvironmentE5 -5.433e+00  1.045e+00  2.280e+02  -5.200 4.43e-07
## GenotypeR4 - 6:EnvironmentE5  -1.009e+01  1.045e+00  2.280e+02  -9.656  < 2e-16
## GenotypeR4 - 8:EnvironmentE5  -1.180e+01  1.045e+00  2.280e+02 -11.294  < 2e-16
## GenotypeSC1:EnvironmentE5     -7.100e+00  1.045e+00  2.280e+02  -6.795 9.32e-11
## GenotypeSC2:EnvironmentE5     -2.544e+00  1.045e+00  2.280e+02  -2.435 0.015649
## GenotypeSC3:EnvironmentE5     -4.056e+00  1.045e+00  2.280e+02  -3.882 0.000136
## GenotypeSC4:EnvironmentE5     -4.933e+00  1.045e+00  2.280e+02  -4.722 4.09e-06
## GenotypeR1 - 20:EnvironmentE6  3.433e+00  1.045e+00  2.280e+02   3.286 0.001177
## GenotypeR2 - 10:EnvironmentE6  1.333e+00  1.045e+00  2.280e+02   1.276 0.203205
## GenotypeR2 - 15:EnvironmentE6 -3.900e+00  1.045e+00  2.280e+02  -3.733 0.000239
## GenotypeR3 - 1:EnvironmentE6   1.000e-01  1.045e+00  2.280e+02   0.096 0.923825
## GenotypeR3 - 10:EnvironmentE6  6.400e+00  1.045e+00  2.280e+02   6.125 3.93e-09
## GenotypeR3 - 14:EnvironmentE6  1.233e+00  1.045e+00  2.280e+02   1.180 0.239069
## GenotypeR3 - 17:EnvironmentE6  7.111e-01  1.045e+00  2.280e+02   0.681 0.496813
## GenotypeR3 - 19:EnvironmentE6  1.147e+01  1.045e+00  2.280e+02  10.975  < 2e-16
## GenotypeR3 - 4:EnvironmentE6  -1.778e+00  1.045e+00  2.280e+02  -1.701 0.090216
## GenotypeR3 - 7:EnvironmentE6   3.667e-01  1.045e+00  2.280e+02   0.351 0.725965
## GenotypeR3 - 9:EnvironmentE6   2.883e+00  1.045e+00  2.280e+02   2.760 0.006257
## GenotypeR4 - 1:EnvironmentE6  -1.667e+00  1.045e+00  2.280e+02  -1.595 0.112068
## GenotypeR4 - 14:EnvironmentE6  3.500e+00  1.045e+00  2.280e+02   3.350 0.000946
## GenotypeR4 - 6:EnvironmentE6   4.167e+00  1.045e+00  2.280e+02   3.988 8.98e-05
## GenotypeR4 - 8:EnvironmentE6  -3.500e+00  1.045e+00  2.280e+02  -3.350 0.000946
## GenotypeSC1:EnvironmentE6     -6.667e-01  1.045e+00  2.280e+02  -0.638 0.524084
## GenotypeSC2:EnvironmentE6      4.767e+00  1.045e+00  2.280e+02   4.562 8.27e-06
## GenotypeSC3:EnvironmentE6     -3.333e-02  1.045e+00  2.280e+02  -0.032 0.974579
## GenotypeSC4:EnvironmentE6     -8.000e-01  1.045e+00  2.280e+02  -0.766 0.444669
##                                  
## (Intercept)                   ***
## GenotypeR1 - 20                  
## GenotypeR2 - 10               ***
## GenotypeR2 - 15               ***
## GenotypeR3 - 1                ***
## GenotypeR3 - 10               ***
## GenotypeR3 - 14                  
## GenotypeR3 - 17               *  
## GenotypeR3 - 19                  
## GenotypeR3 - 4                *  
## GenotypeR3 - 7                   
## GenotypeR3 - 9                   
## GenotypeR4 - 1                ***
## GenotypeR4 - 14                  
## GenotypeR4 - 6                ***
## GenotypeR4 - 8                ***
## GenotypeSC1                   ***
## GenotypeSC2                   *  
## GenotypeSC3                      
## GenotypeSC4                   .  
## EnvironmentE2                    
## EnvironmentE3                 ** 
## EnvironmentE4                 ***
## EnvironmentE5                 ***
## EnvironmentE6                 *  
## GenotypeR1 - 20:EnvironmentE2    
## GenotypeR2 - 10:EnvironmentE2 ***
## GenotypeR2 - 15:EnvironmentE2 ***
## GenotypeR3 - 1:EnvironmentE2  ***
## GenotypeR3 - 10:EnvironmentE2    
## GenotypeR3 - 14:EnvironmentE2    
## GenotypeR3 - 17:EnvironmentE2 .  
## GenotypeR3 - 19:EnvironmentE2 ** 
## GenotypeR3 - 4:EnvironmentE2     
## GenotypeR3 - 7:EnvironmentE2  ** 
## GenotypeR3 - 9:EnvironmentE2     
## GenotypeR4 - 1:EnvironmentE2     
## GenotypeR4 - 14:EnvironmentE2 *  
## GenotypeR4 - 6:EnvironmentE2     
## GenotypeR4 - 8:EnvironmentE2  ***
## GenotypeSC1:EnvironmentE2     ** 
## GenotypeSC2:EnvironmentE2     *  
## GenotypeSC3:EnvironmentE2        
## GenotypeSC4:EnvironmentE2     ** 
## GenotypeR1 - 20:EnvironmentE3 .  
## GenotypeR2 - 10:EnvironmentE3 ***
## GenotypeR2 - 15:EnvironmentE3 *  
## GenotypeR3 - 1:EnvironmentE3     
## GenotypeR3 - 10:EnvironmentE3    
## GenotypeR3 - 14:EnvironmentE3 .  
## GenotypeR3 - 17:EnvironmentE3    
## GenotypeR3 - 19:EnvironmentE3 *  
## GenotypeR3 - 4:EnvironmentE3  ***
## GenotypeR3 - 7:EnvironmentE3  ***
## GenotypeR3 - 9:EnvironmentE3     
## GenotypeR4 - 1:EnvironmentE3  ** 
## GenotypeR4 - 14:EnvironmentE3 ***
## GenotypeR4 - 6:EnvironmentE3  ***
## GenotypeR4 - 8:EnvironmentE3  ***
## GenotypeSC1:EnvironmentE3     ***
## GenotypeSC2:EnvironmentE3        
## GenotypeSC3:EnvironmentE3        
## GenotypeSC4:EnvironmentE3     .  
## GenotypeR1 - 20:EnvironmentE4 ***
## GenotypeR2 - 10:EnvironmentE4 *  
## GenotypeR2 - 15:EnvironmentE4 ***
## GenotypeR3 - 1:EnvironmentE4  ***
## GenotypeR3 - 10:EnvironmentE4 ** 
## GenotypeR3 - 14:EnvironmentE4 ***
## GenotypeR3 - 17:EnvironmentE4 .  
## GenotypeR3 - 19:EnvironmentE4 ***
## GenotypeR3 - 4:EnvironmentE4  ***
## GenotypeR3 - 7:EnvironmentE4  ** 
## GenotypeR3 - 9:EnvironmentE4     
## GenotypeR4 - 1:EnvironmentE4  *  
## GenotypeR4 - 14:EnvironmentE4    
## GenotypeR4 - 6:EnvironmentE4  ***
## GenotypeR4 - 8:EnvironmentE4  ***
## GenotypeSC1:EnvironmentE4        
## GenotypeSC2:EnvironmentE4     .  
## GenotypeSC3:EnvironmentE4     *  
## GenotypeSC4:EnvironmentE4     ***
## GenotypeR1 - 20:EnvironmentE5 *  
## GenotypeR2 - 10:EnvironmentE5 ***
## GenotypeR2 - 15:EnvironmentE5 ***
## GenotypeR3 - 1:EnvironmentE5  ***
## GenotypeR3 - 10:EnvironmentE5 ***
## GenotypeR3 - 14:EnvironmentE5 ***
## GenotypeR3 - 17:EnvironmentE5 ***
## GenotypeR3 - 19:EnvironmentE5 ***
## GenotypeR3 - 4:EnvironmentE5  ***
## GenotypeR3 - 7:EnvironmentE5  ** 
## GenotypeR3 - 9:EnvironmentE5  ***
## GenotypeR4 - 1:EnvironmentE5  ***
## GenotypeR4 - 14:EnvironmentE5 ***
## GenotypeR4 - 6:EnvironmentE5  ***
## GenotypeR4 - 8:EnvironmentE5  ***
## GenotypeSC1:EnvironmentE5     ***
## GenotypeSC2:EnvironmentE5     *  
## GenotypeSC3:EnvironmentE5     ***
## GenotypeSC4:EnvironmentE5     ***
## GenotypeR1 - 20:EnvironmentE6 ** 
## GenotypeR2 - 10:EnvironmentE6    
## GenotypeR2 - 15:EnvironmentE6 ***
## GenotypeR3 - 1:EnvironmentE6     
## GenotypeR3 - 10:EnvironmentE6 ***
## GenotypeR3 - 14:EnvironmentE6    
## GenotypeR3 - 17:EnvironmentE6    
## GenotypeR3 - 19:EnvironmentE6 ***
## GenotypeR3 - 4:EnvironmentE6  .  
## GenotypeR3 - 7:EnvironmentE6     
## GenotypeR3 - 9:EnvironmentE6  ** 
## GenotypeR4 - 1:EnvironmentE6     
## GenotypeR4 - 14:EnvironmentE6 ***
## GenotypeR4 - 6:EnvironmentE6  ***
## GenotypeR4 - 8:EnvironmentE6  ***
## GenotypeSC1:EnvironmentE6        
## GenotypeSC2:EnvironmentE6     ***
## GenotypeSC3:EnvironmentE6        
## GenotypeSC4:EnvironmentE6        
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Correlation matrix not shown by default, as p = 120 > 12.
## Use print(x, correlation=TRUE)  or
##     vcov(x)        if you need it

================================================================

12. UJI FIXED EFFECT

================================================================

Menguji:

1. Genotype

2. Environment

3. Genotype x Environment

================================================================

anova(model_yield)
## Type III Analysis of Variance Table with Satterthwaite's method
##                       Sum Sq Mean Sq NumDF DenDF F value    Pr(>F)    
## Genotype              416.42  21.917    19   228  26.768 < 2.2e-16 ***
## Environment           195.92  39.185     5    12  47.858 1.633e-07 ***
## Genotype:Environment 1819.33  19.151    95   228  23.390 < 2.2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

================================================================

13. KOMPONEN RANDOM EFFECT

================================================================

VarCorr(model_yield)
##  Groups                   Name        Std.Dev.
##  Environment:Replications (Intercept) 0.15207 
##  Residual                             0.90486
# Menampilkan variance dan standard deviation
as.data.frame(
  VarCorr(model_yield)
)
##                        grp        var1 var2       vcov     sdcor
## 1 Environment:Replications (Intercept) <NA> 0.02312672 0.1520747
## 2                 Residual        <NA> <NA> 0.81877108 0.9048597

================================================================

14. MENGHITUNG ICC

================================================================

ICC =

variance random effect /

(variance random effect + variance residual)

================================================================

vc <- as.data.frame(
  VarCorr(model_yield)
)

var_random <- vc$vcov[1]

var_residual <- vc$vcov[2]

ICC <- var_random /
  (var_random + var_residual)

ICC
## [1] 0.02746975
# Persentase kontribusi random effect
ICC * 100
## [1] 2.746975
# Persentase residual
(1 - ICC) * 100
## [1] 97.25303

================================================================

15. RANDOM EFFECT MASING-MASING BLOCK

================================================================

ranef(model_yield)
## $`Environment:Replications`
##       (Intercept)
## E1:1 -0.077612164
## E1:2  0.030082234
## E1:3  0.047529930
## E2:1 -0.043017810
## E2:2  0.010228011
## E2:3  0.032789799
## E3:1  0.032087877
## E3:2 -0.042516437
## E3:3  0.010428560
## E4:1  0.143793079
## E4:2 -0.089043413
## E4:3 -0.054749666
## E5:1  0.017848881
## E5:2  0.007019223
## E5:3 -0.024868104
## E6:1  0.069189484
## E6:2 -0.185006664
## E6:3  0.115817180
## 
## with conditional variances for "Environment:Replications"

================================================================

16. DIAGNOSTIK MODEL

================================================================

# ------------------------------------------------
# 16.1 Residual vs Fitted
# ------------------------------------------------

plot(
  model_yield,
  main = "Residual vs Fitted"
)

# ------------------------------------------------
# 16.2 Q-Q Plot Residual
# ------------------------------------------------

qqnorm(
  residuals(model_yield),
  main = "Q-Q Plot Residual"
)

qqline(
  residuals(model_yield)
)

# ------------------------------------------------
# 16.3 Q-Q Plot Random Effect
# ------------------------------------------------

random_effect <- ranef(
  model_yield
)$`Environment:Replications`[[1]]

qqnorm(
  random_effect,
  main = "Q-Q Plot Random Effect"
)

qqline(
  random_effect
)

# ------------------------------------------------
# 16.4 Pemeriksaan diagnostik otomatis
# ------------------------------------------------

check_model(model_yield)


# ------------------------------------------------
# 16.5 Cek singularity
# ------------------------------------------------

isSingular(
  model_yield
)
## [1] FALSE
# ------------------------------------------------
# 16.6 Cek convergence
# ------------------------------------------------

model_yield@optinfo$conv
## $opt
## [1] 0
## 
## $lme4
## list()

================================================================

17. UJI FIXED EFFECT SECARA LEBIH RINCI

================================================================

# Estimated marginal means Genotype
# TIDAK dijadikan hasil utama jika interaksi signifikan

emm_genotype <- emmeans(
  model_yield,
  ~ Genotype
)
## NOTE: Results may be misleading due to involvement in interactions
emm_genotype
##  Genotype emmean    SE  df lower.CL upper.CL
##  R1 - 1     5.78 0.216 237     5.36     6.21
##  R1 - 20    5.34 0.216 237     4.91     5.76
##  R2 - 10    8.01 0.216 237     7.58     8.43
##  R2 - 15    5.46 0.216 237     5.04     5.89
##  R3 - 1     5.69 0.216 237     5.27     6.12
##  R3 - 10    8.63 0.216 237     8.20     9.05
##  R3 - 14    3.96 0.216 237     3.54     4.39
##  R3 - 17    5.61 0.216 237     5.18     6.04
##  R3 - 19    6.24 0.216 237     5.81     6.66
##  R3 - 4     4.90 0.216 237     4.47     5.32
##  R3 - 7     6.58 0.216 237     6.15     7.00
##  R3 - 9     5.73 0.216 237     5.30     6.16
##  R4 - 1     6.99 0.216 237     6.57     7.42
##  R4 - 14    5.59 0.216 237     5.16     6.01
##  R4 - 6     5.63 0.216 237     5.20     6.06
##  R4 - 8     4.94 0.216 237     4.52     5.37
##  SC1        5.80 0.216 237     5.37     6.23
##  SC2        5.29 0.216 237     4.86     5.71
##  SC3        4.95 0.216 237     4.52     5.37
##  SC4        4.51 0.216 237     4.08     4.93
## 
## Results are averaged over the levels of: Environment 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95

================================================================

18. KARENA INTERAKSI GxE SIGNIFIKAN:

ANALISIS GENOTYPE PADA SETIAP ENVIRONMENT

================================================================

emm_GE <- emmeans(
  model_yield,
  ~ Genotype | Environment
)

emm_GE
## Environment = E1:
##  Genotype emmean   SE  df lower.CL upper.CL
##  R1 - 1     4.23 0.53 237    3.190     5.28
##  R1 - 20    4.23 0.53 237    3.190     5.28
##  R2 - 10    8.90 0.53 237    7.856     9.94
##  R2 - 15    7.27 0.53 237    6.223     8.31
##  R3 - 1     7.07 0.53 237    6.023     8.11
##  R3 - 10    6.87 0.53 237    5.823     7.91
##  R3 - 14    3.80 0.53 237    2.756     4.84
##  R3 - 17    6.02 0.53 237    4.979     7.07
##  R3 - 19    5.43 0.53 237    4.390     6.48
##  R3 - 4     5.71 0.53 237    4.667     6.75
##  R3 - 7     3.67 0.53 237    2.623     4.71
##  R3 - 9     4.87 0.53 237    3.823     5.91
##  R4 - 1     7.60 0.53 237    6.556     8.64
##  R4 - 14    3.27 0.53 237    2.223     4.31
##  R4 - 6     7.30 0.53 237    6.256     8.34
##  R4 - 8     8.80 0.53 237    7.756     9.84
##  SC1        6.80 0.53 237    5.756     7.84
##  SC2        2.73 0.53 237    1.690     3.78
##  SC3        4.60 0.53 237    3.556     5.64
##  SC4        5.63 0.53 237    4.590     6.68
## 
## Environment = E2:
##  Genotype emmean   SE  df lower.CL upper.CL
##  R1 - 1     4.37 0.53 237    3.323     5.41
##  R1 - 20    5.27 0.53 237    4.223     6.31
##  R2 - 10    4.33 0.53 237    3.290     5.38
##  R2 - 15    2.43 0.53 237    1.390     3.48
##  R3 - 1     3.47 0.53 237    2.423     4.51
##  R3 - 10    6.53 0.53 237    5.490     7.58
##  R3 - 14    5.00 0.53 237    3.956     6.04
##  R3 - 17    4.23 0.53 237    3.190     5.28
##  R3 - 19    2.77 0.53 237    1.723     3.81
##  R3 - 4     6.40 0.53 237    5.356     7.44
##  R3 - 7     7.07 0.53 237    6.023     8.11
##  R3 - 9     4.77 0.53 237    3.723     5.81
##  R4 - 1     7.27 0.53 237    6.223     8.31
##  R4 - 14    6.05 0.53 237    5.006     7.09
##  R4 - 6     6.40 0.53 237    5.356     7.44
##  R4 - 8     5.03 0.53 237    3.990     6.08
##  SC1        4.13 0.53 237    3.090     5.18
##  SC2        5.20 0.53 237    4.156     6.24
##  SC3        5.13 0.53 237    4.090     6.18
##  SC4        2.97 0.53 237    1.923     4.01
## 
## Environment = E3:
##  Genotype emmean   SE  df lower.CL upper.CL
##  R1 - 1     6.33 0.53 237    5.290     7.38
##  R1 - 20    8.20 0.53 237    7.156     9.24
##  R2 - 10    6.07 0.53 237    5.023     7.11
##  R2 - 15    6.83 0.53 237    5.790     7.88
##  R3 - 1     8.67 0.53 237    7.623     9.71
##  R3 - 10    7.77 0.53 237    6.723     8.81
##  R3 - 14    4.17 0.53 237    3.123     5.21
##  R3 - 17    7.07 0.53 237    6.023     8.11
##  R3 - 19    5.13 0.53 237    4.090     6.18
##  R3 - 4     4.20 0.53 237    3.156     5.24
##  R3 - 7    10.60 0.53 237    9.556    11.64
##  R3 - 9     6.44 0.53 237    5.401     7.49
##  R4 - 1     6.57 0.53 237    5.523     7.61
##  R4 - 14    8.91 0.53 237    7.868     9.95
##  R4 - 6     5.07 0.53 237    4.023     6.11
##  R4 - 8     2.53 0.53 237    1.490     3.58
##  SC1        3.70 0.53 237    2.656     4.74
##  SC2        4.47 0.53 237    3.423     5.51
##  SC3        5.87 0.53 237    4.823     6.91
##  SC4        5.83 0.53 237    4.790     6.88
## 
## Environment = E4:
##  Genotype emmean   SE  df lower.CL upper.CL
##  R1 - 1     8.03 0.53 237    6.990     9.08
##  R1 - 20    1.57 0.53 237    0.523     2.61
##  R2 - 10   15.33 0.53 237   14.290    16.38
##  R2 - 15    6.77 0.53 237    5.723     7.81
##  R3 - 1     7.00 0.53 237    5.956     8.04
##  R3 - 10   13.40 0.53 237   12.356    14.44
##  R3 - 14    2.73 0.53 237    1.690     3.78
##  R3 - 17    8.07 0.53 237    7.023     9.11
##  R3 - 19    5.40 0.53 237    4.356     6.44
##  R3 - 4     4.13 0.53 237    3.090     5.18
##  R3 - 7    10.47 0.53 237    9.423    11.51
##  R3 - 9     7.42 0.53 237    6.373     8.46
##  R4 - 1    14.00 0.53 237   12.956    15.04
##  R4 - 14    7.43 0.53 237    6.390     8.48
##  R4 - 6     3.07 0.53 237    2.023     4.11
##  R4 - 8     7.72 0.53 237    6.673     8.76
##  SC1       11.07 0.53 237   10.023    12.11
##  SC2        8.37 0.53 237    7.323     9.41
##  SC3        5.70 0.53 237    4.656     6.74
##  SC4        3.80 0.53 237    2.756     4.84
## 
## Environment = E5:
##  Genotype emmean   SE  df lower.CL upper.CL
##  R1 - 1     9.33 0.53 237    8.290    10.38
##  R1 - 20    6.93 0.53 237    5.890     7.98
##  R2 - 10    5.00 0.53 237    3.956     6.04
##  R2 - 15    7.93 0.53 237    6.890     8.98
##  R3 - 1     2.63 0.53 237    1.590     3.68
##  R3 - 10    5.77 0.53 237    4.723     6.81
##  R3 - 14    4.87 0.53 237    3.823     5.91
##  R3 - 17    3.37 0.53 237    2.323     4.41
##  R3 - 19    3.63 0.53 237    2.590     4.68
##  R3 - 4     6.83 0.53 237    5.790     7.88
##  R3 - 7     5.47 0.53 237    4.423     6.51
##  R3 - 9     4.97 0.53 237    3.923     6.01
##  R4 - 1     2.43 0.53 237    1.390     3.48
##  R4 - 14    2.93 0.53 237    1.890     3.98
##  R4 - 6     2.31 0.53 237    1.267     3.35
##  R4 - 8     2.10 0.53 237    1.056     3.14
##  SC1        4.80 0.53 237    3.756     5.84
##  SC2        5.29 0.53 237    4.245     6.33
##  SC3        5.64 0.53 237    4.601     6.69
##  SC4        5.80 0.53 237    4.756     6.84
## 
## Environment = E6:
##  Genotype emmean   SE  df lower.CL upper.CL
##  R1 - 1     2.40 0.53 237    1.356     3.44
##  R1 - 20    5.83 0.53 237    4.790     6.88
##  R2 - 10    8.40 0.53 237    7.356     9.44
##  R2 - 15    1.53 0.53 237    0.490     2.58
##  R3 - 1     5.33 0.53 237    4.290     6.38
##  R3 - 10   11.43 0.53 237   10.390    12.48
##  R3 - 14    3.20 0.53 237    2.156     4.24
##  R3 - 17    4.90 0.53 237    3.856     5.94
##  R3 - 19   15.07 0.53 237   14.023    16.11
##  R3 - 4     2.10 0.53 237    1.056     3.14
##  R3 - 7     2.20 0.53 237    1.156     3.24
##  R3 - 9     5.92 0.53 237    4.873     6.96
##  R4 - 1     4.10 0.53 237    3.056     5.14
##  R4 - 14    4.93 0.53 237    3.890     5.98
##  R4 - 6     9.63 0.53 237    8.590    10.68
##  R4 - 8     3.47 0.53 237    2.423     4.51
##  SC1        4.30 0.53 237    3.256     5.34
##  SC2        5.67 0.53 237    4.623     6.71
##  SC3        2.73 0.53 237    1.690     3.78
##  SC4        3.00 0.53 237    1.956     4.04
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95

================================================================

19. UJI PERBANDINGAN GENOTYPE

PADA MASING-MASING ENVIRONMENT

================================================================

pairs(
  emm_GE,
  adjust = "tukey"
)
## Environment = E1:
##  contrast              estimate    SE  df t.ratio p.value
##  (R1 - 1) - (R1 - 20)    0.0000 0.739 228   0.000  1.0000
##  (R1 - 1) - (R2 - 10)   -4.6667 0.739 228  -6.316 <0.0001
##  (R1 - 1) - (R2 - 15)   -3.0333 0.739 228  -4.106  0.0084
##  (R1 - 1) - (R3 - 1)    -2.8333 0.739 228  -3.835  0.0222
##  (R1 - 1) - (R3 - 10)   -2.6333 0.739 228  -3.564  0.0535
##  (R1 - 1) - (R3 - 14)    0.4333 0.739 228   0.587  1.0000
##  (R1 - 1) - (R3 - 17)   -1.7889 0.739 228  -2.421  0.6449
##  (R1 - 1) - (R3 - 19)   -1.2000 0.739 228  -1.624  0.9863
##  (R1 - 1) - (R3 - 4)    -1.4778 0.739 228  -2.000  0.8993
##  (R1 - 1) - (R3 - 7)     0.5667 0.739 228   0.767  1.0000
##  (R1 - 1) - (R3 - 9)    -0.6333 0.739 228  -0.857  1.0000
##  (R1 - 1) - (R4 - 1)    -3.3667 0.739 228  -4.557  0.0014
##  (R1 - 1) - (R4 - 14)    0.9667 0.739 228   1.308  0.9990
##  (R1 - 1) - (R4 - 6)    -3.0667 0.739 228  -4.151  0.0071
##  (R1 - 1) - (R4 - 8)    -4.5667 0.739 228  -6.181 <0.0001
##  (R1 - 1) - SC1         -2.5667 0.739 228  -3.474  0.0703
##  (R1 - 1) - SC2          1.5000 0.739 228   2.030  0.8866
##  (R1 - 1) - SC3         -0.3667 0.739 228  -0.496  1.0000
##  (R1 - 1) - SC4         -1.4000 0.739 228  -1.895  0.9363
##  (R1 - 20) - (R2 - 10)  -4.6667 0.739 228  -6.316 <0.0001
##  (R1 - 20) - (R2 - 15)  -3.0333 0.739 228  -4.106  0.0084
##  (R1 - 20) - (R3 - 1)   -2.8333 0.739 228  -3.835  0.0222
##  (R1 - 20) - (R3 - 10)  -2.6333 0.739 228  -3.564  0.0535
##  (R1 - 20) - (R3 - 14)   0.4333 0.739 228   0.587  1.0000
##  (R1 - 20) - (R3 - 17)  -1.7889 0.739 228  -2.421  0.6449
##  (R1 - 20) - (R3 - 19)  -1.2000 0.739 228  -1.624  0.9863
##  (R1 - 20) - (R3 - 4)   -1.4778 0.739 228  -2.000  0.8993
##  (R1 - 20) - (R3 - 7)    0.5667 0.739 228   0.767  1.0000
##  (R1 - 20) - (R3 - 9)   -0.6333 0.739 228  -0.857  1.0000
##  (R1 - 20) - (R4 - 1)   -3.3667 0.739 228  -4.557  0.0014
##  (R1 - 20) - (R4 - 14)   0.9667 0.739 228   1.308  0.9990
##  (R1 - 20) - (R4 - 6)   -3.0667 0.739 228  -4.151  0.0071
##  (R1 - 20) - (R4 - 8)   -4.5667 0.739 228  -6.181 <0.0001
##  (R1 - 20) - SC1        -2.5667 0.739 228  -3.474  0.0703
##  (R1 - 20) - SC2         1.5000 0.739 228   2.030  0.8866
##  (R1 - 20) - SC3        -0.3667 0.739 228  -0.496  1.0000
##  (R1 - 20) - SC4        -1.4000 0.739 228  -1.895  0.9363
##  (R2 - 10) - (R2 - 15)   1.6333 0.739 228   2.211  0.7908
##  (R2 - 10) - (R3 - 1)    1.8333 0.739 228   2.481  0.5994
##  (R2 - 10) - (R3 - 10)   2.0333 0.739 228   2.752  0.3961
##  (R2 - 10) - (R3 - 14)   5.1000 0.739 228   6.903 <0.0001
##  (R2 - 10) - (R3 - 17)   2.8778 0.739 228   3.895  0.0180
##  (R2 - 10) - (R3 - 19)   3.4667 0.739 228   4.692  0.0008
##  (R2 - 10) - (R3 - 4)    3.1889 0.739 228   4.316  0.0037
##  (R2 - 10) - (R3 - 7)    5.2333 0.739 228   7.083 <0.0001
##  (R2 - 10) - (R3 - 9)    4.0333 0.739 228   5.459 <0.0001
##  (R2 - 10) - (R4 - 1)    1.3000 0.739 228   1.760  0.9683
##  (R2 - 10) - (R4 - 14)   5.6333 0.739 228   7.625 <0.0001
##  (R2 - 10) - (R4 - 6)    1.6000 0.739 228   2.166  0.8178
##  (R2 - 10) - (R4 - 8)    0.1000 0.739 228   0.135  1.0000
##  (R2 - 10) - SC1         2.1000 0.739 228   2.842  0.3348
##  (R2 - 10) - SC2         6.1667 0.739 228   8.347 <0.0001
##  (R2 - 10) - SC3         4.3000 0.739 228   5.820 <0.0001
##  (R2 - 10) - SC4         3.2667 0.739 228   4.421  0.0025
##  (R2 - 15) - (R3 - 1)    0.2000 0.739 228   0.271  1.0000
##  (R2 - 15) - (R3 - 10)   0.4000 0.739 228   0.541  1.0000
##  (R2 - 15) - (R3 - 14)   3.4667 0.739 228   4.692  0.0008
##  (R2 - 15) - (R3 - 17)   1.2444 0.739 228   1.684  0.9797
##  (R2 - 15) - (R3 - 19)   1.8333 0.739 228   2.481  0.5994
##  (R2 - 15) - (R3 - 4)    1.5556 0.739 228   2.105  0.8507
##  (R2 - 15) - (R3 - 7)    3.6000 0.739 228   4.873  0.0004
##  (R2 - 15) - (R3 - 9)    2.4000 0.739 228   3.248  0.1319
##  (R2 - 15) - (R4 - 1)   -0.3333 0.739 228  -0.451  1.0000
##  (R2 - 15) - (R4 - 14)   4.0000 0.739 228   5.414 <0.0001
##  (R2 - 15) - (R4 - 6)   -0.0333 0.739 228  -0.045  1.0000
##  (R2 - 15) - (R4 - 8)   -1.5333 0.739 228  -2.075  0.8658
##  (R2 - 15) - SC1         0.4667 0.739 228   0.632  1.0000
##  (R2 - 15) - SC2         4.5333 0.739 228   6.136 <0.0001
##  (R2 - 15) - SC3         2.6667 0.739 228   3.609  0.0465
##  (R2 - 15) - SC4         1.6333 0.739 228   2.211  0.7908
##  (R3 - 1) - (R3 - 10)    0.2000 0.739 228   0.271  1.0000
##  (R3 - 1) - (R3 - 14)    3.2667 0.739 228   4.421  0.0025
##  (R3 - 1) - (R3 - 17)    1.0444 0.739 228   1.414  0.9973
##  (R3 - 1) - (R3 - 19)    1.6333 0.739 228   2.211  0.7908
##  (R3 - 1) - (R3 - 4)     1.3556 0.739 228   1.835  0.9525
##  (R3 - 1) - (R3 - 7)     3.4000 0.739 228   4.602  0.0012
##  (R3 - 1) - (R3 - 9)     2.2000 0.739 228   2.978  0.2531
##  (R3 - 1) - (R4 - 1)    -0.5333 0.739 228  -0.722  1.0000
##  (R3 - 1) - (R4 - 14)    3.8000 0.739 228   5.143  0.0001
##  (R3 - 1) - (R4 - 6)    -0.2333 0.739 228  -0.316  1.0000
##  (R3 - 1) - (R4 - 8)    -1.7333 0.739 228  -2.346  0.7001
##  (R3 - 1) - SC1          0.2667 0.739 228   0.361  1.0000
##  (R3 - 1) - SC2          4.3333 0.739 228   5.865 <0.0001
##  (R3 - 1) - SC3          2.4667 0.739 228   3.339  0.1035
##  (R3 - 1) - SC4          1.4333 0.739 228   1.940  0.9218
##  (R3 - 10) - (R3 - 14)   3.0667 0.739 228   4.151  0.0071
##  (R3 - 10) - (R3 - 17)   0.8444 0.739 228   1.143  0.9999
##  (R3 - 10) - (R3 - 19)   1.4333 0.739 228   1.940  0.9218
##  (R3 - 10) - (R3 - 4)    1.1556 0.739 228   1.564  0.9910
##  (R3 - 10) - (R3 - 7)    3.2000 0.739 228   4.331  0.0035
##  (R3 - 10) - (R3 - 9)    2.0000 0.739 228   2.707  0.4285
##  (R3 - 10) - (R4 - 1)   -0.7333 0.739 228  -0.993  1.0000
##  (R3 - 10) - (R4 - 14)   3.6000 0.739 228   4.873  0.0004
##  (R3 - 10) - (R4 - 6)   -0.4333 0.739 228  -0.587  1.0000
##  (R3 - 10) - (R4 - 8)   -1.9333 0.739 228  -2.617  0.4957
##  (R3 - 10) - SC1         0.0667 0.739 228   0.090  1.0000
##  (R3 - 10) - SC2         4.1333 0.739 228   5.595 <0.0001
##  (R3 - 10) - SC3         2.2667 0.739 228   3.068  0.2064
##  (R3 - 10) - SC4         1.2333 0.739 228   1.669  0.9815
##  (R3 - 14) - (R3 - 17)  -2.2222 0.739 228  -3.008  0.2369
##  (R3 - 14) - (R3 - 19)  -1.6333 0.739 228  -2.211  0.7908
##  (R3 - 14) - (R3 - 4)   -1.9111 0.739 228  -2.587  0.5186
##  (R3 - 14) - (R3 - 7)    0.1333 0.739 228   0.180  1.0000
##  (R3 - 14) - (R3 - 9)   -1.0667 0.739 228  -1.444  0.9965
##  (R3 - 14) - (R4 - 1)   -3.8000 0.739 228  -5.143  0.0001
##  (R3 - 14) - (R4 - 14)   0.5333 0.739 228   0.722  1.0000
##  (R3 - 14) - (R4 - 6)   -3.5000 0.739 228  -4.737  0.0007
##  (R3 - 14) - (R4 - 8)   -5.0000 0.739 228  -6.768 <0.0001
##  (R3 - 14) - SC1        -3.0000 0.739 228  -4.061  0.0099
##  (R3 - 14) - SC2         1.0667 0.739 228   1.444  0.9965
##  (R3 - 14) - SC3        -0.8000 0.739 228  -1.083  0.9999
##  (R3 - 14) - SC4        -1.8333 0.739 228  -2.481  0.5994
##  (R3 - 17) - (R3 - 19)   0.5889 0.739 228   0.797  1.0000
##  (R3 - 17) - (R3 - 4)    0.3111 0.739 228   0.421  1.0000
##  (R3 - 17) - (R3 - 7)    2.3556 0.739 228   3.188  0.1540
##  (R3 - 17) - (R3 - 9)    1.1556 0.739 228   1.564  0.9910
##  (R3 - 17) - (R4 - 1)   -1.5778 0.739 228  -2.136  0.8347
##  (R3 - 17) - (R4 - 14)   2.7556 0.739 228   3.730  0.0316
##  (R3 - 17) - (R4 - 6)   -1.2778 0.739 228  -1.729  0.9733
##  (R3 - 17) - (R4 - 8)   -2.7778 0.739 228  -3.760  0.0286
##  (R3 - 17) - SC1        -0.7778 0.739 228  -1.053  1.0000
##  (R3 - 17) - SC2         3.2889 0.739 228   4.452  0.0022
##  (R3 - 17) - SC3         1.4222 0.739 228   1.925  0.9269
##  (R3 - 17) - SC4         0.3889 0.739 228   0.526  1.0000
##  (R3 - 19) - (R3 - 4)   -0.2778 0.739 228  -0.376  1.0000
##  (R3 - 19) - (R3 - 7)    1.7667 0.739 228   2.391  0.6673
##  (R3 - 19) - (R3 - 9)    0.5667 0.739 228   0.767  1.0000
##  (R3 - 19) - (R4 - 1)   -2.1667 0.739 228  -2.933  0.2789
##  (R3 - 19) - (R4 - 14)   2.1667 0.739 228   2.933  0.2789
##  (R3 - 19) - (R4 - 6)   -1.8667 0.739 228  -2.527  0.5648
##  (R3 - 19) - (R4 - 8)   -3.3667 0.739 228  -4.557  0.0014
##  (R3 - 19) - SC1        -1.3667 0.739 228  -1.850  0.9488
##  (R3 - 19) - SC2         2.7000 0.739 228   3.655  0.0403
##  (R3 - 19) - SC3         0.8333 0.739 228   1.128  0.9999
##  (R3 - 19) - SC4        -0.2000 0.739 228  -0.271  1.0000
##  (R3 - 4) - (R3 - 7)     2.0444 0.739 228   2.767  0.3856
##  (R3 - 4) - (R3 - 9)     0.8444 0.739 228   1.143  0.9999
##  (R3 - 4) - (R4 - 1)    -1.8889 0.739 228  -2.557  0.5417
##  (R3 - 4) - (R4 - 14)    2.4444 0.739 228   3.309  0.1123
##  (R3 - 4) - (R4 - 6)    -1.5889 0.739 228  -2.151  0.8263
##  (R3 - 4) - (R4 - 8)    -3.0889 0.739 228  -4.181  0.0063
##  (R3 - 4) - SC1         -1.0889 0.739 228  -1.474  0.9955
##  (R3 - 4) - SC2          2.9778 0.739 228   4.030  0.0111
##  (R3 - 4) - SC3          1.1111 0.739 228   1.504  0.9943
##  (R3 - 4) - SC4          0.0778 0.739 228   0.105  1.0000
##  (R3 - 7) - (R3 - 9)    -1.2000 0.739 228  -1.624  0.9863
##  (R3 - 7) - (R4 - 1)    -3.9333 0.739 228  -5.324 <0.0001
##  (R3 - 7) - (R4 - 14)    0.4000 0.739 228   0.541  1.0000
##  (R3 - 7) - (R4 - 6)    -3.6333 0.739 228  -4.918  0.0003
##  (R3 - 7) - (R4 - 8)    -5.1333 0.739 228  -6.948 <0.0001
##  (R3 - 7) - SC1         -3.1333 0.739 228  -4.241  0.0050
##  (R3 - 7) - SC2          0.9333 0.739 228   1.263  0.9994
##  (R3 - 7) - SC3         -0.9333 0.739 228  -1.263  0.9994
##  (R3 - 7) - SC4         -1.9667 0.739 228  -2.662  0.4618
##  (R3 - 9) - (R4 - 1)    -2.7333 0.739 228  -3.700  0.0349
##  (R3 - 9) - (R4 - 14)    1.6000 0.739 228   2.166  0.8178
##  (R3 - 9) - (R4 - 6)    -2.4333 0.739 228  -3.294  0.1170
##  (R3 - 9) - (R4 - 8)    -3.9333 0.739 228  -5.324 <0.0001
##  (R3 - 9) - SC1         -1.9333 0.739 228  -2.617  0.4957
##  (R3 - 9) - SC2          2.1333 0.739 228   2.888  0.3061
##  (R3 - 9) - SC3          0.2667 0.739 228   0.361  1.0000
##  (R3 - 9) - SC4         -0.7667 0.739 228  -1.038  1.0000
##  (R4 - 1) - (R4 - 14)    4.3333 0.739 228   5.865 <0.0001
##  (R4 - 1) - (R4 - 6)     0.3000 0.739 228   0.406  1.0000
##  (R4 - 1) - (R4 - 8)    -1.2000 0.739 228  -1.624  0.9863
##  (R4 - 1) - SC1          0.8000 0.739 228   1.083  0.9999
##  (R4 - 1) - SC2          4.8667 0.739 228   6.587 <0.0001
##  (R4 - 1) - SC3          3.0000 0.739 228   4.061  0.0099
##  (R4 - 1) - SC4          1.9667 0.739 228   2.662  0.4618
##  (R4 - 14) - (R4 - 6)   -4.0333 0.739 228  -5.459 <0.0001
##  (R4 - 14) - (R4 - 8)   -5.5333 0.739 228  -7.489 <0.0001
##  (R4 - 14) - SC1        -3.5333 0.739 228  -4.782  0.0005
##  (R4 - 14) - SC2         0.5333 0.739 228   0.722  1.0000
##  (R4 - 14) - SC3        -1.3333 0.739 228  -1.805  0.9594
##  (R4 - 14) - SC4        -2.3667 0.739 228  -3.203  0.1483
##  (R4 - 6) - (R4 - 8)    -1.5000 0.739 228  -2.030  0.8866
##  (R4 - 6) - SC1          0.5000 0.739 228   0.677  1.0000
##  (R4 - 6) - SC2          4.5667 0.739 228   6.181 <0.0001
##  (R4 - 6) - SC3          2.7000 0.739 228   3.655  0.0403
##  (R4 - 6) - SC4          1.6667 0.739 228   2.256  0.7621
##  (R4 - 8) - SC1          2.0000 0.739 228   2.707  0.4285
##  (R4 - 8) - SC2          6.0667 0.739 228   8.211 <0.0001
##  (R4 - 8) - SC3          4.2000 0.739 228   5.685 <0.0001
##  (R4 - 8) - SC4          3.1667 0.739 228   4.286  0.0042
##  SC1 - SC2               4.0667 0.739 228   5.504 <0.0001
##  SC1 - SC3               2.2000 0.739 228   2.978  0.2531
##  SC1 - SC4               1.1667 0.739 228   1.579  0.9900
##  SC2 - SC3              -1.8667 0.739 228  -2.527  0.5648
##  SC2 - SC4              -2.9000 0.739 228  -3.925  0.0162
##  SC3 - SC4              -1.0333 0.739 228  -1.399  0.9977
## 
## Environment = E2:
##  contrast              estimate    SE  df t.ratio p.value
##  (R1 - 1) - (R1 - 20)   -0.9000 0.739 228  -1.218  0.9996
##  (R1 - 1) - (R2 - 10)    0.0333 0.739 228   0.045  1.0000
##  (R1 - 1) - (R2 - 15)    1.9333 0.739 228   2.617  0.4957
##  (R1 - 1) - (R3 - 1)     0.9000 0.739 228   1.218  0.9996
##  (R1 - 1) - (R3 - 10)   -2.1667 0.739 228  -2.933  0.2788
##  (R1 - 1) - (R3 - 14)   -0.6333 0.739 228  -0.857  1.0000
##  (R1 - 1) - (R3 - 17)    0.1333 0.739 228   0.180  1.0000
##  (R1 - 1) - (R3 - 19)    1.6000 0.739 228   2.166  0.8178
##  (R1 - 1) - (R3 - 4)    -2.0333 0.739 228  -2.752  0.3961
##  (R1 - 1) - (R3 - 7)    -2.7000 0.739 228  -3.655  0.0403
##  (R1 - 1) - (R3 - 9)    -0.4000 0.739 228  -0.541  1.0000
##  (R1 - 1) - (R4 - 1)    -2.9000 0.739 228  -3.925  0.0162
##  (R1 - 1) - (R4 - 14)   -1.6833 0.739 228  -2.278  0.7471
##  (R1 - 1) - (R4 - 6)    -2.0333 0.739 228  -2.752  0.3961
##  (R1 - 1) - (R4 - 8)    -0.6667 0.739 228  -0.902  1.0000
##  (R1 - 1) - SC1          0.2333 0.739 228   0.316  1.0000
##  (R1 - 1) - SC2         -0.8333 0.739 228  -1.128  0.9999
##  (R1 - 1) - SC3         -0.7667 0.739 228  -1.038  1.0000
##  (R1 - 1) - SC4          1.4000 0.739 228   1.895  0.9363
##  (R1 - 20) - (R2 - 10)   0.9333 0.739 228   1.263  0.9994
##  (R1 - 20) - (R2 - 15)   2.8333 0.739 228   3.835  0.0222
##  (R1 - 20) - (R3 - 1)    1.8000 0.739 228   2.436  0.6336
##  (R1 - 20) - (R3 - 10)  -1.2667 0.739 228  -1.714  0.9756
##  (R1 - 20) - (R3 - 14)   0.2667 0.739 228   0.361  1.0000
##  (R1 - 20) - (R3 - 17)   1.0333 0.739 228   1.399  0.9977
##  (R1 - 20) - (R3 - 19)   2.5000 0.739 228   3.384  0.0912
##  (R1 - 20) - (R3 - 4)   -1.1333 0.739 228  -1.534  0.9928
##  (R1 - 20) - (R3 - 7)   -1.8000 0.739 228  -2.436  0.6336
##  (R1 - 20) - (R3 - 9)    0.5000 0.739 228   0.677  1.0000
##  (R1 - 20) - (R4 - 1)   -2.0000 0.739 228  -2.707  0.4285
##  (R1 - 20) - (R4 - 14)  -0.7833 0.739 228  -1.060  1.0000
##  (R1 - 20) - (R4 - 6)   -1.1333 0.739 228  -1.534  0.9928
##  (R1 - 20) - (R4 - 8)    0.2333 0.739 228   0.316  1.0000
##  (R1 - 20) - SC1         1.1333 0.739 228   1.534  0.9928
##  (R1 - 20) - SC2         0.0667 0.739 228   0.090  1.0000
##  (R1 - 20) - SC3         0.1333 0.739 228   0.180  1.0000
##  (R1 - 20) - SC4         2.3000 0.739 228   3.113  0.1855
##  (R2 - 10) - (R2 - 15)   1.9000 0.739 228   2.572  0.5301
##  (R2 - 10) - (R3 - 1)    0.8667 0.739 228   1.173  0.9998
##  (R2 - 10) - (R3 - 10)  -2.2000 0.739 228  -2.978  0.2531
##  (R2 - 10) - (R3 - 14)  -0.6667 0.739 228  -0.902  1.0000
##  (R2 - 10) - (R3 - 17)   0.1000 0.739 228   0.135  1.0000
##  (R2 - 10) - (R3 - 19)   1.5667 0.739 228   2.121  0.8428
##  (R2 - 10) - (R3 - 4)   -2.0667 0.739 228  -2.797  0.3648
##  (R2 - 10) - (R3 - 7)   -2.7333 0.739 228  -3.700  0.0348
##  (R2 - 10) - (R3 - 9)   -0.4333 0.739 228  -0.587  1.0000
##  (R2 - 10) - (R4 - 1)   -2.9333 0.739 228  -3.970  0.0138
##  (R2 - 10) - (R4 - 14)  -1.7167 0.739 228  -2.324  0.7161
##  (R2 - 10) - (R4 - 6)   -2.0667 0.739 228  -2.797  0.3648
##  (R2 - 10) - (R4 - 8)   -0.7000 0.739 228  -0.947  1.0000
##  (R2 - 10) - SC1         0.2000 0.739 228   0.271  1.0000
##  (R2 - 10) - SC2        -0.8667 0.739 228  -1.173  0.9998
##  (R2 - 10) - SC3        -0.8000 0.739 228  -1.083  0.9999
##  (R2 - 10) - SC4         1.3667 0.739 228   1.850  0.9488
##  (R2 - 15) - (R3 - 1)   -1.0333 0.739 228  -1.399  0.9977
##  (R2 - 15) - (R3 - 10)  -4.1000 0.739 228  -5.549 <0.0001
##  (R2 - 15) - (R3 - 14)  -2.5667 0.739 228  -3.474  0.0703
##  (R2 - 15) - (R3 - 17)  -1.8000 0.739 228  -2.436  0.6336
##  (R2 - 15) - (R3 - 19)  -0.3333 0.739 228  -0.451  1.0000
##  (R2 - 15) - (R3 - 4)   -3.9667 0.739 228  -5.369 <0.0001
##  (R2 - 15) - (R3 - 7)   -4.6334 0.739 228  -6.271 <0.0001
##  (R2 - 15) - (R3 - 9)   -2.3333 0.739 228  -3.158  0.1661
##  (R2 - 15) - (R4 - 1)   -4.8334 0.739 228  -6.542 <0.0001
##  (R2 - 15) - (R4 - 14)  -3.6167 0.739 228  -4.895  0.0003
##  (R2 - 15) - (R4 - 6)   -3.9667 0.739 228  -5.369 <0.0001
##  (R2 - 15) - (R4 - 8)   -2.6000 0.739 228  -3.519  0.0614
##  (R2 - 15) - SC1        -1.7000 0.739 228  -2.301  0.7318
##  (R2 - 15) - SC2        -2.7667 0.739 228  -3.745  0.0300
##  (R2 - 15) - SC3        -2.7000 0.739 228  -3.655  0.0403
##  (R2 - 15) - SC4        -0.5333 0.739 228  -0.722  1.0000
##  (R3 - 1) - (R3 - 10)   -3.0667 0.739 228  -4.151  0.0071
##  (R3 - 1) - (R3 - 14)   -1.5333 0.739 228  -2.075  0.8658
##  (R3 - 1) - (R3 - 17)   -0.7667 0.739 228  -1.038  1.0000
##  (R3 - 1) - (R3 - 19)    0.7000 0.739 228   0.947  1.0000
##  (R3 - 1) - (R3 - 4)    -2.9333 0.739 228  -3.970  0.0138
##  (R3 - 1) - (R3 - 7)    -3.6000 0.739 228  -4.873  0.0004
##  (R3 - 1) - (R3 - 9)    -1.3000 0.739 228  -1.760  0.9683
##  (R3 - 1) - (R4 - 1)    -3.8000 0.739 228  -5.143  0.0001
##  (R3 - 1) - (R4 - 14)   -2.5833 0.739 228  -3.497  0.0657
##  (R3 - 1) - (R4 - 6)    -2.9333 0.739 228  -3.970  0.0138
##  (R3 - 1) - (R4 - 8)    -1.5667 0.739 228  -2.121  0.8428
##  (R3 - 1) - SC1         -0.6667 0.739 228  -0.902  1.0000
##  (R3 - 1) - SC2         -1.7333 0.739 228  -2.346  0.7001
##  (R3 - 1) - SC3         -1.6667 0.739 228  -2.256  0.7621
##  (R3 - 1) - SC4          0.5000 0.739 228   0.677  1.0000
##  (R3 - 10) - (R3 - 14)   1.5333 0.739 228   2.075  0.8658
##  (R3 - 10) - (R3 - 17)   2.3000 0.739 228   3.113  0.1855
##  (R3 - 10) - (R3 - 19)   3.7667 0.739 228   5.098  0.0001
##  (R3 - 10) - (R3 - 4)    0.1333 0.739 228   0.180  1.0000
##  (R3 - 10) - (R3 - 7)   -0.5333 0.739 228  -0.722  1.0000
##  (R3 - 10) - (R3 - 9)    1.7667 0.739 228   2.391  0.6673
##  (R3 - 10) - (R4 - 1)   -0.7333 0.739 228  -0.993  1.0000
##  (R3 - 10) - (R4 - 14)   0.4833 0.739 228   0.654  1.0000
##  (R3 - 10) - (R4 - 6)    0.1333 0.739 228   0.180  1.0000
##  (R3 - 10) - (R4 - 8)    1.5000 0.739 228   2.030  0.8866
##  (R3 - 10) - SC1         2.4000 0.739 228   3.248  0.1319
##  (R3 - 10) - SC2         1.3333 0.739 228   1.805  0.9594
##  (R3 - 10) - SC3         1.4000 0.739 228   1.895  0.9363
##  (R3 - 10) - SC4         3.5667 0.739 228   4.828  0.0004
##  (R3 - 14) - (R3 - 17)   0.7667 0.739 228   1.038  1.0000
##  (R3 - 14) - (R3 - 19)   2.2333 0.739 228   3.023  0.2290
##  (R3 - 14) - (R3 - 4)   -1.4000 0.739 228  -1.895  0.9363
##  (R3 - 14) - (R3 - 7)   -2.0667 0.739 228  -2.797  0.3648
##  (R3 - 14) - (R3 - 9)    0.2333 0.739 228   0.316  1.0000
##  (R3 - 14) - (R4 - 1)   -2.2667 0.739 228  -3.068  0.2064
##  (R3 - 14) - (R4 - 14)  -1.0500 0.739 228  -1.421  0.9972
##  (R3 - 14) - (R4 - 6)   -1.4000 0.739 228  -1.895  0.9363
##  (R3 - 14) - (R4 - 8)   -0.0333 0.739 228  -0.045  1.0000
##  (R3 - 14) - SC1         0.8667 0.739 228   1.173  0.9998
##  (R3 - 14) - SC2        -0.2000 0.739 228  -0.271  1.0000
##  (R3 - 14) - SC3        -0.1333 0.739 228  -0.180  1.0000
##  (R3 - 14) - SC4         2.0333 0.739 228   2.752  0.3961
##  (R3 - 17) - (R3 - 19)   1.4667 0.739 228   1.985  0.9053
##  (R3 - 17) - (R3 - 4)   -2.1667 0.739 228  -2.933  0.2788
##  (R3 - 17) - (R3 - 7)   -2.8333 0.739 228  -3.835  0.0222
##  (R3 - 17) - (R3 - 9)   -0.5333 0.739 228  -0.722  1.0000
##  (R3 - 17) - (R4 - 1)   -3.0333 0.739 228  -4.106  0.0084
##  (R3 - 17) - (R4 - 14)  -1.8167 0.739 228  -2.459  0.6165
##  (R3 - 17) - (R4 - 6)   -2.1667 0.739 228  -2.933  0.2788
##  (R3 - 17) - (R4 - 8)   -0.8000 0.739 228  -1.083  0.9999
##  (R3 - 17) - SC1         0.1000 0.739 228   0.135  1.0000
##  (R3 - 17) - SC2        -0.9667 0.739 228  -1.308  0.9990
##  (R3 - 17) - SC3        -0.9000 0.739 228  -1.218  0.9996
##  (R3 - 17) - SC4         1.2667 0.739 228   1.714  0.9756
##  (R3 - 19) - (R3 - 4)   -3.6334 0.739 228  -4.918  0.0003
##  (R3 - 19) - (R3 - 7)   -4.3000 0.739 228  -5.820 <0.0001
##  (R3 - 19) - (R3 - 9)   -2.0000 0.739 228  -2.707  0.4285
##  (R3 - 19) - (R4 - 1)   -4.5000 0.739 228  -6.091 <0.0001
##  (R3 - 19) - (R4 - 14)  -3.2833 0.739 228  -4.444  0.0022
##  (R3 - 19) - (R4 - 6)   -3.6334 0.739 228  -4.918  0.0003
##  (R3 - 19) - (R4 - 8)   -2.2667 0.739 228  -3.068  0.2064
##  (R3 - 19) - SC1        -1.3667 0.739 228  -1.850  0.9488
##  (R3 - 19) - SC2        -2.4333 0.739 228  -3.294  0.1170
##  (R3 - 19) - SC3        -2.3667 0.739 228  -3.203  0.1483
##  (R3 - 19) - SC4        -0.2000 0.739 228  -0.271  1.0000
##  (R3 - 4) - (R3 - 7)    -0.6667 0.739 228  -0.902  1.0000
##  (R3 - 4) - (R3 - 9)     1.6333 0.739 228   2.211  0.7908
##  (R3 - 4) - (R4 - 1)    -0.8667 0.739 228  -1.173  0.9998
##  (R3 - 4) - (R4 - 14)    0.3500 0.739 228   0.474  1.0000
##  (R3 - 4) - (R4 - 6)     0.0000 0.739 228   0.000  1.0000
##  (R3 - 4) - (R4 - 8)     1.3667 0.739 228   1.850  0.9488
##  (R3 - 4) - SC1          2.2667 0.739 228   3.068  0.2064
##  (R3 - 4) - SC2          1.2000 0.739 228   1.624  0.9863
##  (R3 - 4) - SC3          1.2667 0.739 228   1.714  0.9756
##  (R3 - 4) - SC4          3.4334 0.739 228   4.647  0.0010
##  (R3 - 7) - (R3 - 9)     2.3000 0.739 228   3.113  0.1855
##  (R3 - 7) - (R4 - 1)    -0.2000 0.739 228  -0.271  1.0000
##  (R3 - 7) - (R4 - 14)    1.0167 0.739 228   1.376  0.9981
##  (R3 - 7) - (R4 - 6)     0.6667 0.739 228   0.902  1.0000
##  (R3 - 7) - (R4 - 8)     2.0333 0.739 228   2.752  0.3961
##  (R3 - 7) - SC1          2.9333 0.739 228   3.970  0.0138
##  (R3 - 7) - SC2          1.8667 0.739 228   2.527  0.5648
##  (R3 - 7) - SC3          1.9333 0.739 228   2.617  0.4957
##  (R3 - 7) - SC4          4.1000 0.739 228   5.549 <0.0001
##  (R3 - 9) - (R4 - 1)    -2.5000 0.739 228  -3.384  0.0912
##  (R3 - 9) - (R4 - 14)   -1.2833 0.739 228  -1.737  0.9721
##  (R3 - 9) - (R4 - 6)    -1.6333 0.739 228  -2.211  0.7908
##  (R3 - 9) - (R4 - 8)    -0.2667 0.739 228  -0.361  1.0000
##  (R3 - 9) - SC1          0.6333 0.739 228   0.857  1.0000
##  (R3 - 9) - SC2         -0.4333 0.739 228  -0.587  1.0000
##  (R3 - 9) - SC3         -0.3667 0.739 228  -0.496  1.0000
##  (R3 - 9) - SC4          1.8000 0.739 228   2.436  0.6336
##  (R4 - 1) - (R4 - 14)    1.2167 0.739 228   1.647  0.9840
##  (R4 - 1) - (R4 - 6)     0.8667 0.739 228   1.173  0.9998
##  (R4 - 1) - (R4 - 8)     2.2333 0.739 228   3.023  0.2290
##  (R4 - 1) - SC1          3.1333 0.739 228   4.241  0.0050
##  (R4 - 1) - SC2          2.0667 0.739 228   2.797  0.3648
##  (R4 - 1) - SC3          2.1333 0.739 228   2.888  0.3061
##  (R4 - 1) - SC4          4.3000 0.739 228   5.820 <0.0001
##  (R4 - 14) - (R4 - 6)   -0.3500 0.739 228  -0.474  1.0000
##  (R4 - 14) - (R4 - 8)    1.0167 0.739 228   1.376  0.9981
##  (R4 - 14) - SC1         1.9167 0.739 228   2.594  0.5129
##  (R4 - 14) - SC2         0.8500 0.739 228   1.150  0.9998
##  (R4 - 14) - SC3         0.9167 0.739 228   1.241  0.9995
##  (R4 - 14) - SC4         3.0833 0.739 228   4.173  0.0065
##  (R4 - 6) - (R4 - 8)     1.3667 0.739 228   1.850  0.9488
##  (R4 - 6) - SC1          2.2667 0.739 228   3.068  0.2064
##  (R4 - 6) - SC2          1.2000 0.739 228   1.624  0.9863
##  (R4 - 6) - SC3          1.2667 0.739 228   1.714  0.9756
##  (R4 - 6) - SC4          3.4334 0.739 228   4.647  0.0010
##  (R4 - 8) - SC1          0.9000 0.739 228   1.218  0.9996
##  (R4 - 8) - SC2         -0.1667 0.739 228  -0.226  1.0000
##  (R4 - 8) - SC3         -0.1000 0.739 228  -0.135  1.0000
##  (R4 - 8) - SC4          2.0667 0.739 228   2.797  0.3648
##  SC1 - SC2              -1.0667 0.739 228  -1.444  0.9965
##  SC1 - SC3              -1.0000 0.739 228  -1.354  0.9985
##  SC1 - SC4               1.1667 0.739 228   1.579  0.9900
##  SC2 - SC3               0.0667 0.739 228   0.090  1.0000
##  SC2 - SC4               2.2333 0.739 228   3.023  0.2290
##  SC3 - SC4               2.1667 0.739 228   2.933  0.2788
## 
## Environment = E3:
##  contrast              estimate    SE  df t.ratio p.value
##  (R1 - 1) - (R1 - 20)   -1.8667 0.739 228  -2.527  0.5648
##  (R1 - 1) - (R2 - 10)    0.2667 0.739 228   0.361  1.0000
##  (R1 - 1) - (R2 - 15)   -0.5000 0.739 228  -0.677  1.0000
##  (R1 - 1) - (R3 - 1)    -2.3333 0.739 228  -3.158  0.1661
##  (R1 - 1) - (R3 - 10)   -1.4333 0.739 228  -1.940  0.9218
##  (R1 - 1) - (R3 - 14)    2.1667 0.739 228   2.933  0.2788
##  (R1 - 1) - (R3 - 17)   -0.7333 0.739 228  -0.993  1.0000
##  (R1 - 1) - (R3 - 19)    1.2000 0.739 228   1.624  0.9863
##  (R1 - 1) - (R3 - 4)     2.1333 0.739 228   2.888  0.3061
##  (R1 - 1) - (R3 - 7)    -4.2667 0.739 228  -5.775 <0.0001
##  (R1 - 1) - (R3 - 9)    -0.1111 0.739 228  -0.150  1.0000
##  (R1 - 1) - (R4 - 1)    -0.2333 0.739 228  -0.316  1.0000
##  (R1 - 1) - (R4 - 14)   -2.5778 0.739 228  -3.489  0.0672
##  (R1 - 1) - (R4 - 6)     1.2667 0.739 228   1.714  0.9756
##  (R1 - 1) - (R4 - 8)     3.8000 0.739 228   5.143  0.0001
##  (R1 - 1) - SC1          2.6333 0.739 228   3.564  0.0535
##  (R1 - 1) - SC2          1.8667 0.739 228   2.527  0.5648
##  (R1 - 1) - SC3          0.4667 0.739 228   0.632  1.0000
##  (R1 - 1) - SC4          0.5000 0.739 228   0.677  1.0000
##  (R1 - 20) - (R2 - 10)   2.1333 0.739 228   2.888  0.3061
##  (R1 - 20) - (R2 - 15)   1.3667 0.739 228   1.850  0.9488
##  (R1 - 20) - (R3 - 1)   -0.4667 0.739 228  -0.632  1.0000
##  (R1 - 20) - (R3 - 10)   0.4333 0.739 228   0.587  1.0000
##  (R1 - 20) - (R3 - 14)   4.0334 0.739 228   5.459 <0.0001
##  (R1 - 20) - (R3 - 17)   1.1333 0.739 228   1.534  0.9928
##  (R1 - 20) - (R3 - 19)   3.0667 0.739 228   4.151  0.0071
##  (R1 - 20) - (R3 - 4)    4.0000 0.739 228   5.414 <0.0001
##  (R1 - 20) - (R3 - 7)   -2.4000 0.739 228  -3.248  0.1319
##  (R1 - 20) - (R3 - 9)    1.7556 0.739 228   2.376  0.6783
##  (R1 - 20) - (R4 - 1)    1.6333 0.739 228   2.211  0.7908
##  (R1 - 20) - (R4 - 14)  -0.7111 0.739 228  -0.963  1.0000
##  (R1 - 20) - (R4 - 6)    3.1333 0.739 228   4.241  0.0050
##  (R1 - 20) - (R4 - 8)    5.6667 0.739 228   7.670 <0.0001
##  (R1 - 20) - SC1         4.5000 0.739 228   6.091 <0.0001
##  (R1 - 20) - SC2         3.7334 0.739 228   5.053  0.0002
##  (R1 - 20) - SC3         2.3333 0.739 228   3.158  0.1661
##  (R1 - 20) - SC4         2.3667 0.739 228   3.203  0.1483
##  (R2 - 10) - (R2 - 15)  -0.7667 0.739 228  -1.038  1.0000
##  (R2 - 10) - (R3 - 1)   -2.6000 0.739 228  -3.519  0.0614
##  (R2 - 10) - (R3 - 10)  -1.7000 0.739 228  -2.301  0.7318
##  (R2 - 10) - (R3 - 14)   1.9000 0.739 228   2.572  0.5301
##  (R2 - 10) - (R3 - 17)  -1.0000 0.739 228  -1.354  0.9985
##  (R2 - 10) - (R3 - 19)   0.9333 0.739 228   1.263  0.9994
##  (R2 - 10) - (R3 - 4)    1.8667 0.739 228   2.527  0.5648
##  (R2 - 10) - (R3 - 7)   -4.5334 0.739 228  -6.136 <0.0001
##  (R2 - 10) - (R3 - 9)   -0.3778 0.739 228  -0.511  1.0000
##  (R2 - 10) - (R4 - 1)   -0.5000 0.739 228  -0.677  1.0000
##  (R2 - 10) - (R4 - 14)  -2.8445 0.739 228  -3.850  0.0211
##  (R2 - 10) - (R4 - 6)    1.0000 0.739 228   1.354  0.9985
##  (R2 - 10) - (R4 - 8)    3.5334 0.739 228   4.782  0.0005
##  (R2 - 10) - SC1         2.3667 0.739 228   3.203  0.1483
##  (R2 - 10) - SC2         1.6000 0.739 228   2.166  0.8178
##  (R2 - 10) - SC3         0.2000 0.739 228   0.271  1.0000
##  (R2 - 10) - SC4         0.2333 0.739 228   0.316  1.0000
##  (R2 - 15) - (R3 - 1)   -1.8333 0.739 228  -2.481  0.5993
##  (R2 - 15) - (R3 - 10)  -0.9333 0.739 228  -1.263  0.9994
##  (R2 - 15) - (R3 - 14)   2.6667 0.739 228   3.609  0.0465
##  (R2 - 15) - (R3 - 17)  -0.2333 0.739 228  -0.316  1.0000
##  (R2 - 15) - (R3 - 19)   1.7000 0.739 228   2.301  0.7318
##  (R2 - 15) - (R3 - 4)    2.6333 0.739 228   3.564  0.0535
##  (R2 - 15) - (R3 - 7)   -3.7667 0.739 228  -5.098  0.0001
##  (R2 - 15) - (R3 - 9)    0.3889 0.739 228   0.526  1.0000
##  (R2 - 15) - (R4 - 1)    0.2667 0.739 228   0.361  1.0000
##  (R2 - 15) - (R4 - 14)  -2.0778 0.739 228  -2.812  0.3547
##  (R2 - 15) - (R4 - 6)    1.7667 0.739 228   2.391  0.6673
##  (R2 - 15) - (R4 - 8)    4.3000 0.739 228   5.820 <0.0001
##  (R2 - 15) - SC1         3.1333 0.739 228   4.241  0.0050
##  (R2 - 15) - SC2         2.3667 0.739 228   3.203  0.1483
##  (R2 - 15) - SC3         0.9667 0.739 228   1.308  0.9990
##  (R2 - 15) - SC4         1.0000 0.739 228   1.354  0.9985
##  (R3 - 1) - (R3 - 10)    0.9000 0.739 228   1.218  0.9996
##  (R3 - 1) - (R3 - 14)    4.5000 0.739 228   6.091 <0.0001
##  (R3 - 1) - (R3 - 17)    1.6000 0.739 228   2.166  0.8178
##  (R3 - 1) - (R3 - 19)    3.5334 0.739 228   4.782  0.0005
##  (R3 - 1) - (R3 - 4)     4.4667 0.739 228   6.046 <0.0001
##  (R3 - 1) - (R3 - 7)    -1.9333 0.739 228  -2.617  0.4957
##  (R3 - 1) - (R3 - 9)     2.2222 0.739 228   3.008  0.2369
##  (R3 - 1) - (R4 - 1)     2.1000 0.739 228   2.842  0.3348
##  (R3 - 1) - (R4 - 14)   -0.2444 0.739 228  -0.331  1.0000
##  (R3 - 1) - (R4 - 6)     3.6000 0.739 228   4.873  0.0004
##  (R3 - 1) - (R4 - 8)     6.1334 0.739 228   8.302 <0.0001
##  (R3 - 1) - SC1          4.9667 0.739 228   6.723 <0.0001
##  (R3 - 1) - SC2          4.2000 0.739 228   5.685 <0.0001
##  (R3 - 1) - SC3          2.8000 0.739 228   3.790  0.0258
##  (R3 - 1) - SC4          2.8333 0.739 228   3.835  0.0222
##  (R3 - 10) - (R3 - 14)   3.6000 0.739 228   4.873  0.0004
##  (R3 - 10) - (R3 - 17)   0.7000 0.739 228   0.947  1.0000
##  (R3 - 10) - (R3 - 19)   2.6333 0.739 228   3.564  0.0535
##  (R3 - 10) - (R3 - 4)    3.5667 0.739 228   4.828  0.0004
##  (R3 - 10) - (R3 - 7)   -2.8333 0.739 228  -3.835  0.0222
##  (R3 - 10) - (R3 - 9)    1.3222 0.739 228   1.790  0.9625
##  (R3 - 10) - (R4 - 1)    1.2000 0.739 228   1.624  0.9863
##  (R3 - 10) - (R4 - 14)  -1.1444 0.739 228  -1.549  0.9919
##  (R3 - 10) - (R4 - 6)    2.7000 0.739 228   3.655  0.0403
##  (R3 - 10) - (R4 - 8)    5.2334 0.739 228   7.083 <0.0001
##  (R3 - 10) - SC1         4.0667 0.739 228   5.504 <0.0001
##  (R3 - 10) - SC2         3.3000 0.739 228   4.467  0.0020
##  (R3 - 10) - SC3         1.9000 0.739 228   2.572  0.5301
##  (R3 - 10) - SC4         1.9333 0.739 228   2.617  0.4957
##  (R3 - 14) - (R3 - 17)  -2.9000 0.739 228  -3.925  0.0162
##  (R3 - 14) - (R3 - 19)  -0.9667 0.739 228  -1.308  0.9990
##  (R3 - 14) - (R3 - 4)   -0.0333 0.739 228  -0.045  1.0000
##  (R3 - 14) - (R3 - 7)   -6.4334 0.739 228  -8.708 <0.0001
##  (R3 - 14) - (R3 - 9)   -2.2778 0.739 228  -3.083  0.1993
##  (R3 - 14) - (R4 - 1)   -2.4000 0.739 228  -3.248  0.1319
##  (R3 - 14) - (R4 - 14)  -4.7445 0.739 228  -6.422 <0.0001
##  (R3 - 14) - (R4 - 6)   -0.9000 0.739 228  -1.218  0.9996
##  (R3 - 14) - (R4 - 8)    1.6333 0.739 228   2.211  0.7908
##  (R3 - 14) - SC1         0.4667 0.739 228   0.632  1.0000
##  (R3 - 14) - SC2        -0.3000 0.739 228  -0.406  1.0000
##  (R3 - 14) - SC3        -1.7000 0.739 228  -2.301  0.7318
##  (R3 - 14) - SC4        -1.6667 0.739 228  -2.256  0.7621
##  (R3 - 17) - (R3 - 19)   1.9333 0.739 228   2.617  0.4957
##  (R3 - 17) - (R3 - 4)    2.8667 0.739 228   3.880  0.0190
##  (R3 - 17) - (R3 - 7)   -3.5334 0.739 228  -4.782  0.0005
##  (R3 - 17) - (R3 - 9)    0.6222 0.739 228   0.842  1.0000
##  (R3 - 17) - (R4 - 1)    0.5000 0.739 228   0.677  1.0000
##  (R3 - 17) - (R4 - 14)  -1.8445 0.739 228  -2.497  0.5878
##  (R3 - 17) - (R4 - 6)    2.0000 0.739 228   2.707  0.4285
##  (R3 - 17) - (R4 - 8)    4.5334 0.739 228   6.136 <0.0001
##  (R3 - 17) - SC1         3.3667 0.739 228   4.557  0.0014
##  (R3 - 17) - SC2         2.6000 0.739 228   3.519  0.0614
##  (R3 - 17) - SC3         1.2000 0.739 228   1.624  0.9863
##  (R3 - 17) - SC4         1.2333 0.739 228   1.669  0.9815
##  (R3 - 19) - (R3 - 4)    0.9333 0.739 228   1.263  0.9994
##  (R3 - 19) - (R3 - 7)   -5.4667 0.739 228  -7.399 <0.0001
##  (R3 - 19) - (R3 - 9)   -1.3111 0.739 228  -1.775  0.9655
##  (R3 - 19) - (R4 - 1)   -1.4333 0.739 228  -1.940  0.9218
##  (R3 - 19) - (R4 - 14)  -3.7778 0.739 228  -5.113  0.0001
##  (R3 - 19) - (R4 - 6)    0.0667 0.739 228   0.090  1.0000
##  (R3 - 19) - (R4 - 8)    2.6000 0.739 228   3.519  0.0614
##  (R3 - 19) - SC1         1.4333 0.739 228   1.940  0.9218
##  (R3 - 19) - SC2         0.6667 0.739 228   0.902  1.0000
##  (R3 - 19) - SC3        -0.7333 0.739 228  -0.993  1.0000
##  (R3 - 19) - SC4        -0.7000 0.739 228  -0.947  1.0000
##  (R3 - 4) - (R3 - 7)    -6.4000 0.739 228  -8.663 <0.0001
##  (R3 - 4) - (R3 - 9)    -2.2445 0.739 228  -3.038  0.2213
##  (R3 - 4) - (R4 - 1)    -2.3667 0.739 228  -3.203  0.1483
##  (R3 - 4) - (R4 - 14)   -4.7111 0.739 228  -6.377 <0.0001
##  (R3 - 4) - (R4 - 6)    -0.8667 0.739 228  -1.173  0.9998
##  (R3 - 4) - (R4 - 8)     1.6667 0.739 228   2.256  0.7621
##  (R3 - 4) - SC1          0.5000 0.739 228   0.677  1.0000
##  (R3 - 4) - SC2         -0.2667 0.739 228  -0.361  1.0000
##  (R3 - 4) - SC3         -1.6667 0.739 228  -2.256  0.7621
##  (R3 - 4) - SC4         -1.6333 0.739 228  -2.211  0.7908
##  (R3 - 7) - (R3 - 9)     4.1556 0.739 228   5.625 <0.0001
##  (R3 - 7) - (R4 - 1)     4.0334 0.739 228   5.459 <0.0001
##  (R3 - 7) - (R4 - 14)    1.6889 0.739 228   2.286  0.7421
##  (R3 - 7) - (R4 - 6)     5.5334 0.739 228   7.490 <0.0001
##  (R3 - 7) - (R4 - 8)     8.0667 0.739 228  10.918 <0.0001
##  (R3 - 7) - SC1          6.9000 0.739 228   9.339 <0.0001
##  (R3 - 7) - SC2          6.1334 0.739 228   8.302 <0.0001
##  (R3 - 7) - SC3          4.7334 0.739 228   6.407 <0.0001
##  (R3 - 7) - SC4          4.7667 0.739 228   6.452 <0.0001
##  (R3 - 9) - (R4 - 1)    -0.1222 0.739 228  -0.165  1.0000
##  (R3 - 9) - (R4 - 14)   -2.4667 0.739 228  -3.339  0.1035
##  (R3 - 9) - (R4 - 6)     1.3778 0.739 228   1.865  0.9448
##  (R3 - 9) - (R4 - 8)     3.9111 0.739 228   5.294 <0.0001
##  (R3 - 9) - SC1          2.7445 0.739 228   3.715  0.0332
##  (R3 - 9) - SC2          1.9778 0.739 228   2.677  0.4506
##  (R3 - 9) - SC3          0.5778 0.739 228   0.782  1.0000
##  (R3 - 9) - SC4          0.6111 0.739 228   0.827  1.0000
##  (R4 - 1) - (R4 - 14)   -2.3445 0.739 228  -3.173  0.1600
##  (R4 - 1) - (R4 - 6)     1.5000 0.739 228   2.030  0.8866
##  (R4 - 1) - (R4 - 8)     4.0334 0.739 228   5.459 <0.0001
##  (R4 - 1) - SC1          2.8667 0.739 228   3.880  0.0190
##  (R4 - 1) - SC2          2.1000 0.739 228   2.842  0.3348
##  (R4 - 1) - SC3          0.7000 0.739 228   0.947  1.0000
##  (R4 - 1) - SC4          0.7333 0.739 228   0.993  1.0000
##  (R4 - 14) - (R4 - 6)    3.8445 0.739 228   5.204 <0.0001
##  (R4 - 14) - (R4 - 8)    6.3778 0.739 228   8.632 <0.0001
##  (R4 - 14) - SC1         5.2111 0.739 228   7.053 <0.0001
##  (R4 - 14) - SC2         4.4445 0.739 228   6.016 <0.0001
##  (R4 - 14) - SC3         3.0445 0.739 228   4.121  0.0079
##  (R4 - 14) - SC4         3.0778 0.739 228   4.166  0.0067
##  (R4 - 6) - (R4 - 8)     2.5333 0.739 228   3.429  0.0802
##  (R4 - 6) - SC1          1.3667 0.739 228   1.850  0.9488
##  (R4 - 6) - SC2          0.6000 0.739 228   0.812  1.0000
##  (R4 - 6) - SC3         -0.8000 0.739 228  -1.083  0.9999
##  (R4 - 6) - SC4         -0.7667 0.739 228  -1.038  1.0000
##  (R4 - 8) - SC1         -1.1667 0.739 228  -1.579  0.9900
##  (R4 - 8) - SC2         -1.9333 0.739 228  -2.617  0.4957
##  (R4 - 8) - SC3         -3.3333 0.739 228  -4.512  0.0017
##  (R4 - 8) - SC4         -3.3000 0.739 228  -4.467  0.0020
##  SC1 - SC2              -0.7667 0.739 228  -1.038  1.0000
##  SC1 - SC3              -2.1667 0.739 228  -2.933  0.2788
##  SC1 - SC4              -2.1333 0.739 228  -2.888  0.3061
##  SC2 - SC3              -1.4000 0.739 228  -1.895  0.9363
##  SC2 - SC4              -1.3667 0.739 228  -1.850  0.9488
##  SC3 - SC4               0.0333 0.739 228   0.045  1.0000
## 
## Environment = E4:
##  contrast              estimate    SE  df t.ratio p.value
##  (R1 - 1) - (R1 - 20)    6.4667 0.739 228   8.753 <0.0001
##  (R1 - 1) - (R2 - 10)   -7.3000 0.739 228  -9.881 <0.0001
##  (R1 - 1) - (R2 - 15)    1.2667 0.739 228   1.714  0.9756
##  (R1 - 1) - (R3 - 1)     1.0333 0.739 228   1.399  0.9977
##  (R1 - 1) - (R3 - 10)   -5.3667 0.739 228  -7.264 <0.0001
##  (R1 - 1) - (R3 - 14)    5.3000 0.739 228   7.174 <0.0001
##  (R1 - 1) - (R3 - 17)   -0.0333 0.739 228  -0.045  1.0000
##  (R1 - 1) - (R3 - 19)    2.6333 0.739 228   3.564  0.0535
##  (R1 - 1) - (R3 - 4)     3.9000 0.739 228   5.279 <0.0001
##  (R1 - 1) - (R3 - 7)    -2.4333 0.739 228  -3.294  0.1170
##  (R1 - 1) - (R3 - 9)     0.6167 0.739 228   0.835  1.0000
##  (R1 - 1) - (R4 - 1)    -5.9667 0.739 228  -8.076 <0.0001
##  (R1 - 1) - (R4 - 14)    0.6000 0.739 228   0.812  1.0000
##  (R1 - 1) - (R4 - 6)     4.9667 0.739 228   6.722 <0.0001
##  (R1 - 1) - (R4 - 8)     0.3167 0.739 228   0.429  1.0000
##  (R1 - 1) - SC1         -3.0333 0.739 228  -4.106  0.0084
##  (R1 - 1) - SC2         -0.3333 0.739 228  -0.451  1.0000
##  (R1 - 1) - SC3          2.3333 0.739 228   3.158  0.1661
##  (R1 - 1) - SC4          4.2333 0.739 228   5.730 <0.0001
##  (R1 - 20) - (R2 - 10) -13.7667 0.739 228 -18.633 <0.0001
##  (R1 - 20) - (R2 - 15)  -5.2000 0.739 228  -7.038 <0.0001
##  (R1 - 20) - (R3 - 1)   -5.4333 0.739 228  -7.354 <0.0001
##  (R1 - 20) - (R3 - 10) -11.8333 0.739 228 -16.017 <0.0001
##  (R1 - 20) - (R3 - 14)  -1.1667 0.739 228  -1.579  0.9900
##  (R1 - 20) - (R3 - 17)  -6.5000 0.739 228  -8.798 <0.0001
##  (R1 - 20) - (R3 - 19)  -3.8333 0.739 228  -5.188 <0.0001
##  (R1 - 20) - (R3 - 4)   -2.5667 0.739 228  -3.474  0.0703
##  (R1 - 20) - (R3 - 7)   -8.9000 0.739 228 -12.046 <0.0001
##  (R1 - 20) - (R3 - 9)   -5.8500 0.739 228  -7.918 <0.0001
##  (R1 - 20) - (R4 - 1)  -12.4333 0.739 228 -16.829 <0.0001
##  (R1 - 20) - (R4 - 14)  -5.8667 0.739 228  -7.941 <0.0001
##  (R1 - 20) - (R4 - 6)   -1.5000 0.739 228  -2.030  0.8866
##  (R1 - 20) - (R4 - 8)   -6.1500 0.739 228  -8.324 <0.0001
##  (R1 - 20) - SC1        -9.5000 0.739 228 -12.858 <0.0001
##  (R1 - 20) - SC2        -6.8000 0.739 228  -9.204 <0.0001
##  (R1 - 20) - SC3        -4.1333 0.739 228  -5.595 <0.0001
##  (R1 - 20) - SC4        -2.2333 0.739 228  -3.023  0.2290
##  (R2 - 10) - (R2 - 15)   8.5667 0.739 228  11.595 <0.0001
##  (R2 - 10) - (R3 - 1)    8.3333 0.739 228  11.279 <0.0001
##  (R2 - 10) - (R3 - 10)   1.9333 0.739 228   2.617  0.4957
##  (R2 - 10) - (R3 - 14)  12.6000 0.739 228  17.054 <0.0001
##  (R2 - 10) - (R3 - 17)   7.2667 0.739 228   9.836 <0.0001
##  (R2 - 10) - (R3 - 19)   9.9333 0.739 228  13.445 <0.0001
##  (R2 - 10) - (R3 - 4)   11.2000 0.739 228  15.159 <0.0001
##  (R2 - 10) - (R3 - 7)    4.8667 0.739 228   6.587 <0.0001
##  (R2 - 10) - (R3 - 9)    7.9167 0.739 228  10.715 <0.0001
##  (R2 - 10) - (R4 - 1)    1.3333 0.739 228   1.805  0.9594
##  (R2 - 10) - (R4 - 14)   7.9000 0.739 228  10.693 <0.0001
##  (R2 - 10) - (R4 - 6)   12.2667 0.739 228  16.603 <0.0001
##  (R2 - 10) - (R4 - 8)    7.6167 0.739 228  10.309 <0.0001
##  (R2 - 10) - SC1         4.2667 0.739 228   5.775 <0.0001
##  (R2 - 10) - SC2         6.9667 0.739 228   9.430 <0.0001
##  (R2 - 10) - SC3         9.6333 0.739 228  13.039 <0.0001
##  (R2 - 10) - SC4        11.5333 0.739 228  15.611 <0.0001
##  (R2 - 15) - (R3 - 1)   -0.2333 0.739 228  -0.316  1.0000
##  (R2 - 15) - (R3 - 10)  -6.6333 0.739 228  -8.978 <0.0001
##  (R2 - 15) - (R3 - 14)   4.0333 0.739 228   5.459 <0.0001
##  (R2 - 15) - (R3 - 17)  -1.3000 0.739 228  -1.760  0.9683
##  (R2 - 15) - (R3 - 19)   1.3667 0.739 228   1.850  0.9488
##  (R2 - 15) - (R3 - 4)    2.6333 0.739 228   3.564  0.0535
##  (R2 - 15) - (R3 - 7)   -3.7000 0.739 228  -5.008  0.0002
##  (R2 - 15) - (R3 - 9)   -0.6500 0.739 228  -0.880  1.0000
##  (R2 - 15) - (R4 - 1)   -7.2333 0.739 228  -9.790 <0.0001
##  (R2 - 15) - (R4 - 14)  -0.6667 0.739 228  -0.902  1.0000
##  (R2 - 15) - (R4 - 6)    3.7000 0.739 228   5.008  0.0002
##  (R2 - 15) - (R4 - 8)   -0.9500 0.739 228  -1.286  0.9992
##  (R2 - 15) - SC1        -4.3000 0.739 228  -5.820 <0.0001
##  (R2 - 15) - SC2        -1.6000 0.739 228  -2.166  0.8178
##  (R2 - 15) - SC3         1.0667 0.739 228   1.444  0.9965
##  (R2 - 15) - SC4         2.9667 0.739 228   4.015  0.0117
##  (R3 - 1) - (R3 - 10)   -6.4000 0.739 228  -8.663 <0.0001
##  (R3 - 1) - (R3 - 14)    4.2667 0.739 228   5.775 <0.0001
##  (R3 - 1) - (R3 - 17)   -1.0667 0.739 228  -1.444  0.9965
##  (R3 - 1) - (R3 - 19)    1.6000 0.739 228   2.166  0.8178
##  (R3 - 1) - (R3 - 4)     2.8667 0.739 228   3.880  0.0190
##  (R3 - 1) - (R3 - 7)    -3.4667 0.739 228  -4.692  0.0008
##  (R3 - 1) - (R3 - 9)    -0.4167 0.739 228  -0.564  1.0000
##  (R3 - 1) - (R4 - 1)    -7.0000 0.739 228  -9.475 <0.0001
##  (R3 - 1) - (R4 - 14)   -0.4333 0.739 228  -0.587  1.0000
##  (R3 - 1) - (R4 - 6)     3.9333 0.739 228   5.324 <0.0001
##  (R3 - 1) - (R4 - 8)    -0.7167 0.739 228  -0.970  1.0000
##  (R3 - 1) - SC1         -4.0667 0.739 228  -5.504 <0.0001
##  (R3 - 1) - SC2         -1.3667 0.739 228  -1.850  0.9488
##  (R3 - 1) - SC3          1.3000 0.739 228   1.760  0.9683
##  (R3 - 1) - SC4          3.2000 0.739 228   4.331  0.0035
##  (R3 - 10) - (R3 - 14)  10.6667 0.739 228  14.438 <0.0001
##  (R3 - 10) - (R3 - 17)   5.3333 0.739 228   7.219 <0.0001
##  (R3 - 10) - (R3 - 19)   8.0000 0.739 228  10.828 <0.0001
##  (R3 - 10) - (R3 - 4)    9.2667 0.739 228  12.543 <0.0001
##  (R3 - 10) - (R3 - 7)    2.9333 0.739 228   3.970  0.0138
##  (R3 - 10) - (R3 - 9)    5.9833 0.739 228   8.099 <0.0001
##  (R3 - 10) - (R4 - 1)   -0.6000 0.739 228  -0.812  1.0000
##  (R3 - 10) - (R4 - 14)   5.9667 0.739 228   8.076 <0.0001
##  (R3 - 10) - (R4 - 6)   10.3333 0.739 228  13.986 <0.0001
##  (R3 - 10) - (R4 - 8)    5.6833 0.739 228   7.692 <0.0001
##  (R3 - 10) - SC1         2.3333 0.739 228   3.158  0.1661
##  (R3 - 10) - SC2         5.0333 0.739 228   6.813 <0.0001
##  (R3 - 10) - SC3         7.7000 0.739 228  10.422 <0.0001
##  (R3 - 10) - SC4         9.6000 0.739 228  12.994 <0.0001
##  (R3 - 14) - (R3 - 17)  -5.3333 0.739 228  -7.219 <0.0001
##  (R3 - 14) - (R3 - 19)  -2.6667 0.739 228  -3.609  0.0465
##  (R3 - 14) - (R3 - 4)   -1.4000 0.739 228  -1.895  0.9363
##  (R3 - 14) - (R3 - 7)   -7.7333 0.739 228 -10.467 <0.0001
##  (R3 - 14) - (R3 - 9)   -4.6833 0.739 228  -6.339 <0.0001
##  (R3 - 14) - (R4 - 1)  -11.2667 0.739 228 -15.250 <0.0001
##  (R3 - 14) - (R4 - 14)  -4.7000 0.739 228  -6.362 <0.0001
##  (R3 - 14) - (R4 - 6)   -0.3333 0.739 228  -0.451  1.0000
##  (R3 - 14) - (R4 - 8)   -4.9833 0.739 228  -6.745 <0.0001
##  (R3 - 14) - SC1        -8.3333 0.739 228 -11.279 <0.0001
##  (R3 - 14) - SC2        -5.6333 0.739 228  -7.625 <0.0001
##  (R3 - 14) - SC3        -2.9667 0.739 228  -4.015  0.0117
##  (R3 - 14) - SC4        -1.0667 0.739 228  -1.444  0.9965
##  (R3 - 17) - (R3 - 19)   2.6667 0.739 228   3.609  0.0465
##  (R3 - 17) - (R3 - 4)    3.9333 0.739 228   5.324 <0.0001
##  (R3 - 17) - (R3 - 7)   -2.4000 0.739 228  -3.248  0.1319
##  (R3 - 17) - (R3 - 9)    0.6500 0.739 228   0.880  1.0000
##  (R3 - 17) - (R4 - 1)   -5.9333 0.739 228  -8.031 <0.0001
##  (R3 - 17) - (R4 - 14)   0.6333 0.739 228   0.857  1.0000
##  (R3 - 17) - (R4 - 6)    5.0000 0.739 228   6.768 <0.0001
##  (R3 - 17) - (R4 - 8)    0.3500 0.739 228   0.474  1.0000
##  (R3 - 17) - SC1        -3.0000 0.739 228  -4.061  0.0099
##  (R3 - 17) - SC2        -0.3000 0.739 228  -0.406  1.0000
##  (R3 - 17) - SC3         2.3667 0.739 228   3.203  0.1483
##  (R3 - 17) - SC4         4.2667 0.739 228   5.775 <0.0001
##  (R3 - 19) - (R3 - 4)    1.2667 0.739 228   1.714  0.9756
##  (R3 - 19) - (R3 - 7)   -5.0667 0.739 228  -6.858 <0.0001
##  (R3 - 19) - (R3 - 9)   -2.0167 0.739 228  -2.730  0.4122
##  (R3 - 19) - (R4 - 1)   -8.6000 0.739 228 -11.640 <0.0001
##  (R3 - 19) - (R4 - 14)  -2.0333 0.739 228  -2.752  0.3961
##  (R3 - 19) - (R4 - 6)    2.3333 0.739 228   3.158  0.1661
##  (R3 - 19) - (R4 - 8)   -2.3167 0.739 228  -3.136  0.1756
##  (R3 - 19) - SC1        -5.6667 0.739 228  -7.670 <0.0001
##  (R3 - 19) - SC2        -2.9667 0.739 228  -4.015  0.0117
##  (R3 - 19) - SC3        -0.3000 0.739 228  -0.406  1.0000
##  (R3 - 19) - SC4         1.6000 0.739 228   2.166  0.8178
##  (R3 - 4) - (R3 - 7)    -6.3333 0.739 228  -8.572 <0.0001
##  (R3 - 4) - (R3 - 9)    -3.2833 0.739 228  -4.444  0.0022
##  (R3 - 4) - (R4 - 1)    -9.8667 0.739 228 -13.355 <0.0001
##  (R3 - 4) - (R4 - 14)   -3.3000 0.739 228  -4.467  0.0020
##  (R3 - 4) - (R4 - 6)     1.0667 0.739 228   1.444  0.9965
##  (R3 - 4) - (R4 - 8)    -3.5833 0.739 228  -4.850  0.0004
##  (R3 - 4) - SC1         -6.9333 0.739 228  -9.384 <0.0001
##  (R3 - 4) - SC2         -4.2333 0.739 228  -5.730 <0.0001
##  (R3 - 4) - SC3         -1.5667 0.739 228  -2.121  0.8428
##  (R3 - 4) - SC4          0.3333 0.739 228   0.451  1.0000
##  (R3 - 7) - (R3 - 9)     3.0500 0.739 228   4.128  0.0077
##  (R3 - 7) - (R4 - 1)    -3.5333 0.739 228  -4.782  0.0005
##  (R3 - 7) - (R4 - 14)    3.0333 0.739 228   4.106  0.0084
##  (R3 - 7) - (R4 - 6)     7.4000 0.739 228  10.016 <0.0001
##  (R3 - 7) - (R4 - 8)     2.7500 0.739 228   3.722  0.0324
##  (R3 - 7) - SC1         -0.6000 0.739 228  -0.812  1.0000
##  (R3 - 7) - SC2          2.1000 0.739 228   2.842  0.3348
##  (R3 - 7) - SC3          4.7667 0.739 228   6.452 <0.0001
##  (R3 - 7) - SC4          6.6667 0.739 228   9.023 <0.0001
##  (R3 - 9) - (R4 - 1)    -6.5833 0.739 228  -8.911 <0.0001
##  (R3 - 9) - (R4 - 14)   -0.0167 0.739 228  -0.023  1.0000
##  (R3 - 9) - (R4 - 6)     4.3500 0.739 228   5.888 <0.0001
##  (R3 - 9) - (R4 - 8)    -0.3000 0.739 228  -0.406  1.0000
##  (R3 - 9) - SC1         -3.6500 0.739 228  -4.940  0.0003
##  (R3 - 9) - SC2         -0.9500 0.739 228  -1.286  0.9992
##  (R3 - 9) - SC3          1.7167 0.739 228   2.324  0.7161
##  (R3 - 9) - SC4          3.6167 0.739 228   4.895  0.0003
##  (R4 - 1) - (R4 - 14)    6.5667 0.739 228   8.888 <0.0001
##  (R4 - 1) - (R4 - 6)    10.9333 0.739 228  14.798 <0.0001
##  (R4 - 1) - (R4 - 8)     6.2833 0.739 228   8.505 <0.0001
##  (R4 - 1) - SC1          2.9333 0.739 228   3.970  0.0138
##  (R4 - 1) - SC2          5.6333 0.739 228   7.625 <0.0001
##  (R4 - 1) - SC3          8.3000 0.739 228  11.234 <0.0001
##  (R4 - 1) - SC4         10.2000 0.739 228  13.806 <0.0001
##  (R4 - 14) - (R4 - 6)    4.3667 0.739 228   5.910 <0.0001
##  (R4 - 14) - (R4 - 8)   -0.2833 0.739 228  -0.383  1.0000
##  (R4 - 14) - SC1        -3.6333 0.739 228  -4.918  0.0003
##  (R4 - 14) - SC2        -0.9333 0.739 228  -1.263  0.9994
##  (R4 - 14) - SC3         1.7333 0.739 228   2.346  0.7001
##  (R4 - 14) - SC4         3.6333 0.739 228   4.918  0.0003
##  (R4 - 6) - (R4 - 8)    -4.6500 0.739 228  -6.294 <0.0001
##  (R4 - 6) - SC1         -8.0000 0.739 228 -10.828 <0.0001
##  (R4 - 6) - SC2         -5.3000 0.739 228  -7.174 <0.0001
##  (R4 - 6) - SC3         -2.6333 0.739 228  -3.564  0.0535
##  (R4 - 6) - SC4         -0.7333 0.739 228  -0.993  1.0000
##  (R4 - 8) - SC1         -3.3500 0.739 228  -4.534  0.0015
##  (R4 - 8) - SC2         -0.6500 0.739 228  -0.880  1.0000
##  (R4 - 8) - SC3          2.0167 0.739 228   2.730  0.4122
##  (R4 - 8) - SC4          3.9167 0.739 228   5.301 <0.0001
##  SC1 - SC2               2.7000 0.739 228   3.655  0.0403
##  SC1 - SC3               5.3667 0.739 228   7.264 <0.0001
##  SC1 - SC4               7.2667 0.739 228   9.836 <0.0001
##  SC2 - SC3               2.6667 0.739 228   3.609  0.0465
##  SC2 - SC4               4.5667 0.739 228   6.181 <0.0001
##  SC3 - SC4               1.9000 0.739 228   2.572  0.5301
## 
## Environment = E5:
##  contrast              estimate    SE  df t.ratio p.value
##  (R1 - 1) - (R1 - 20)    2.4000 0.739 228   3.248  0.1319
##  (R1 - 1) - (R2 - 10)    4.3334 0.739 228   5.865 <0.0001
##  (R1 - 1) - (R2 - 15)    1.4000 0.739 228   1.895  0.9363
##  (R1 - 1) - (R3 - 1)     6.7000 0.739 228   9.069 <0.0001
##  (R1 - 1) - (R3 - 10)    3.5667 0.739 228   4.828  0.0004
##  (R1 - 1) - (R3 - 14)    4.4667 0.739 228   6.046 <0.0001
##  (R1 - 1) - (R3 - 17)    5.9667 0.739 228   8.076 <0.0001
##  (R1 - 1) - (R3 - 19)    5.7000 0.739 228   7.715 <0.0001
##  (R1 - 1) - (R3 - 4)     2.5000 0.739 228   3.384  0.0912
##  (R1 - 1) - (R3 - 7)     3.8667 0.739 228   5.234 <0.0001
##  (R1 - 1) - (R3 - 9)     4.3667 0.739 228   5.910 <0.0001
##  (R1 - 1) - (R4 - 1)     6.9000 0.739 228   9.339 <0.0001
##  (R1 - 1) - (R4 - 14)    6.4000 0.739 228   8.663 <0.0001
##  (R1 - 1) - (R4 - 6)     7.0223 0.739 228   9.505 <0.0001
##  (R1 - 1) - (R4 - 8)     7.2334 0.739 228   9.791 <0.0001
##  (R1 - 1) - SC1          4.5334 0.739 228   6.136 <0.0001
##  (R1 - 1) - SC2          4.0445 0.739 228   5.474 <0.0001
##  (R1 - 1) - SC3          3.6889 0.739 228   4.993  0.0002
##  (R1 - 1) - SC4          3.5334 0.739 228   4.782  0.0005
##  (R1 - 20) - (R2 - 10)   1.9333 0.739 228   2.617  0.4957
##  (R1 - 20) - (R2 - 15)  -1.0000 0.739 228  -1.354  0.9985
##  (R1 - 20) - (R3 - 1)    4.3000 0.739 228   5.820 <0.0001
##  (R1 - 20) - (R3 - 10)   1.1667 0.739 228   1.579  0.9900
##  (R1 - 20) - (R3 - 14)   2.0667 0.739 228   2.797  0.3648
##  (R1 - 20) - (R3 - 17)   3.5667 0.739 228   4.828  0.0004
##  (R1 - 20) - (R3 - 19)   3.3000 0.739 228   4.467  0.0020
##  (R1 - 20) - (R3 - 4)    0.1000 0.739 228   0.135  1.0000
##  (R1 - 20) - (R3 - 7)    1.4667 0.739 228   1.985  0.9053
##  (R1 - 20) - (R3 - 9)    1.9667 0.739 228   2.662  0.4617
##  (R1 - 20) - (R4 - 1)    4.5000 0.739 228   6.091 <0.0001
##  (R1 - 20) - (R4 - 14)   4.0000 0.739 228   5.414 <0.0001
##  (R1 - 20) - (R4 - 6)    4.6222 0.739 228   6.256 <0.0001
##  (R1 - 20) - (R4 - 8)    4.8334 0.739 228   6.542 <0.0001
##  (R1 - 20) - SC1         2.1333 0.739 228   2.888  0.3061
##  (R1 - 20) - SC2         1.6445 0.739 228   2.226  0.7814
##  (R1 - 20) - SC3         1.2889 0.739 228   1.745  0.9709
##  (R1 - 20) - SC4         1.1333 0.739 228   1.534  0.9928
##  (R2 - 10) - (R2 - 15)  -2.9333 0.739 228  -3.970  0.0138
##  (R2 - 10) - (R3 - 1)    2.3667 0.739 228   3.203  0.1483
##  (R2 - 10) - (R3 - 10)  -0.7667 0.739 228  -1.038  1.0000
##  (R2 - 10) - (R3 - 14)   0.1333 0.739 228   0.180  1.0000
##  (R2 - 10) - (R3 - 17)   1.6333 0.739 228   2.211  0.7908
##  (R2 - 10) - (R3 - 19)   1.3667 0.739 228   1.850  0.9488
##  (R2 - 10) - (R3 - 4)   -1.8333 0.739 228  -2.481  0.5993
##  (R2 - 10) - (R3 - 7)   -0.4667 0.739 228  -0.632  1.0000
##  (R2 - 10) - (R3 - 9)    0.0333 0.739 228   0.045  1.0000
##  (R2 - 10) - (R4 - 1)    2.5667 0.739 228   3.474  0.0703
##  (R2 - 10) - (R4 - 14)   2.0667 0.739 228   2.797  0.3648
##  (R2 - 10) - (R4 - 6)    2.6889 0.739 228   3.639  0.0423
##  (R2 - 10) - (R4 - 8)    2.9000 0.739 228   3.925  0.0162
##  (R2 - 10) - SC1         0.2000 0.739 228   0.271  1.0000
##  (R2 - 10) - SC2        -0.2889 0.739 228  -0.391  1.0000
##  (R2 - 10) - SC3        -0.6444 0.739 228  -0.872  1.0000
##  (R2 - 10) - SC4        -0.8000 0.739 228  -1.083  0.9999
##  (R2 - 15) - (R3 - 1)    5.3000 0.739 228   7.174 <0.0001
##  (R2 - 15) - (R3 - 10)   2.1667 0.739 228   2.933  0.2788
##  (R2 - 15) - (R3 - 14)   3.0667 0.739 228   4.151  0.0071
##  (R2 - 15) - (R3 - 17)   4.5667 0.739 228   6.181 <0.0001
##  (R2 - 15) - (R3 - 19)   4.3000 0.739 228   5.820 <0.0001
##  (R2 - 15) - (R3 - 4)    1.1000 0.739 228   1.489  0.9950
##  (R2 - 15) - (R3 - 7)    2.4667 0.739 228   3.339  0.1035
##  (R2 - 15) - (R3 - 9)    2.9667 0.739 228   4.015  0.0117
##  (R2 - 15) - (R4 - 1)    5.5000 0.739 228   7.444 <0.0001
##  (R2 - 15) - (R4 - 14)   5.0000 0.739 228   6.768 <0.0001
##  (R2 - 15) - (R4 - 6)    5.6223 0.739 228   7.610 <0.0001
##  (R2 - 15) - (R4 - 8)    5.8334 0.739 228   7.896 <0.0001
##  (R2 - 15) - SC1         3.1333 0.739 228   4.241  0.0050
##  (R2 - 15) - SC2         2.6445 0.739 228   3.579  0.0511
##  (R2 - 15) - SC3         2.2889 0.739 228   3.098  0.1923
##  (R2 - 15) - SC4         2.1333 0.739 228   2.888  0.3061
##  (R3 - 1) - (R3 - 10)   -3.1333 0.739 228  -4.241  0.0050
##  (R3 - 1) - (R3 - 14)   -2.2333 0.739 228  -3.023  0.2290
##  (R3 - 1) - (R3 - 17)   -0.7333 0.739 228  -0.993  1.0000
##  (R3 - 1) - (R3 - 19)   -1.0000 0.739 228  -1.354  0.9985
##  (R3 - 1) - (R3 - 4)    -4.2000 0.739 228  -5.685 <0.0001
##  (R3 - 1) - (R3 - 7)    -2.8333 0.739 228  -3.835  0.0222
##  (R3 - 1) - (R3 - 9)    -2.3333 0.739 228  -3.158  0.1661
##  (R3 - 1) - (R4 - 1)     0.2000 0.739 228   0.271  1.0000
##  (R3 - 1) - (R4 - 14)   -0.3000 0.739 228  -0.406  1.0000
##  (R3 - 1) - (R4 - 6)     0.3222 0.739 228   0.436  1.0000
##  (R3 - 1) - (R4 - 8)     0.5333 0.739 228   0.722  1.0000
##  (R3 - 1) - SC1         -2.1667 0.739 228  -2.933  0.2788
##  (R3 - 1) - SC2         -2.6556 0.739 228  -3.594  0.0488
##  (R3 - 1) - SC3         -3.0111 0.739 228  -4.076  0.0094
##  (R3 - 1) - SC4         -3.1667 0.739 228  -4.286  0.0042
##  (R3 - 10) - (R3 - 14)   0.9000 0.739 228   1.218  0.9996
##  (R3 - 10) - (R3 - 17)   2.4000 0.739 228   3.248  0.1319
##  (R3 - 10) - (R3 - 19)   2.1333 0.739 228   2.888  0.3061
##  (R3 - 10) - (R3 - 4)   -1.0667 0.739 228  -1.444  0.9965
##  (R3 - 10) - (R3 - 7)    0.3000 0.739 228   0.406  1.0000
##  (R3 - 10) - (R3 - 9)    0.8000 0.739 228   1.083  0.9999
##  (R3 - 10) - (R4 - 1)    3.3333 0.739 228   4.512  0.0017
##  (R3 - 10) - (R4 - 14)   2.8333 0.739 228   3.835  0.0222
##  (R3 - 10) - (R4 - 6)    3.4556 0.739 228   4.677  0.0008
##  (R3 - 10) - (R4 - 8)    3.6667 0.739 228   4.963  0.0002
##  (R3 - 10) - SC1         0.9667 0.739 228   1.308  0.9990
##  (R3 - 10) - SC2         0.4778 0.739 228   0.647  1.0000
##  (R3 - 10) - SC3         0.1222 0.739 228   0.165  1.0000
##  (R3 - 10) - SC4        -0.0333 0.739 228  -0.045  1.0000
##  (R3 - 14) - (R3 - 17)   1.5000 0.739 228   2.030  0.8866
##  (R3 - 14) - (R3 - 19)   1.2333 0.739 228   1.669  0.9815
##  (R3 - 14) - (R3 - 4)   -1.9667 0.739 228  -2.662  0.4617
##  (R3 - 14) - (R3 - 7)   -0.6000 0.739 228  -0.812  1.0000
##  (R3 - 14) - (R3 - 9)   -0.1000 0.739 228  -0.135  1.0000
##  (R3 - 14) - (R4 - 1)    2.4333 0.739 228   3.294  0.1170
##  (R3 - 14) - (R4 - 14)   1.9333 0.739 228   2.617  0.4957
##  (R3 - 14) - (R4 - 6)    2.5556 0.739 228   3.459  0.0734
##  (R3 - 14) - (R4 - 8)    2.7667 0.739 228   3.745  0.0300
##  (R3 - 14) - SC1         0.0667 0.739 228   0.090  1.0000
##  (R3 - 14) - SC2        -0.4222 0.739 228  -0.571  1.0000
##  (R3 - 14) - SC3        -0.7778 0.739 228  -1.053  1.0000
##  (R3 - 14) - SC4        -0.9333 0.739 228  -1.263  0.9994
##  (R3 - 17) - (R3 - 19)  -0.2667 0.739 228  -0.361  1.0000
##  (R3 - 17) - (R3 - 4)   -3.4667 0.739 228  -4.692  0.0008
##  (R3 - 17) - (R3 - 7)   -2.1000 0.739 228  -2.842  0.3348
##  (R3 - 17) - (R3 - 9)   -1.6000 0.739 228  -2.166  0.8178
##  (R3 - 17) - (R4 - 1)    0.9333 0.739 228   1.263  0.9994
##  (R3 - 17) - (R4 - 14)   0.4333 0.739 228   0.587  1.0000
##  (R3 - 17) - (R4 - 6)    1.0556 0.739 228   1.429  0.9970
##  (R3 - 17) - (R4 - 8)    1.2667 0.739 228   1.714  0.9756
##  (R3 - 17) - SC1        -1.4333 0.739 228  -1.940  0.9218
##  (R3 - 17) - SC2        -1.9222 0.739 228  -2.602  0.5071
##  (R3 - 17) - SC3        -2.2778 0.739 228  -3.083  0.1993
##  (R3 - 17) - SC4        -2.4333 0.739 228  -3.294  0.1170
##  (R3 - 19) - (R3 - 4)   -3.2000 0.739 228  -4.331  0.0035
##  (R3 - 19) - (R3 - 7)   -1.8333 0.739 228  -2.481  0.5993
##  (R3 - 19) - (R3 - 9)   -1.3333 0.739 228  -1.805  0.9594
##  (R3 - 19) - (R4 - 1)    1.2000 0.739 228   1.624  0.9863
##  (R3 - 19) - (R4 - 14)   0.7000 0.739 228   0.947  1.0000
##  (R3 - 19) - (R4 - 6)    1.3222 0.739 228   1.790  0.9625
##  (R3 - 19) - (R4 - 8)    1.5333 0.739 228   2.075  0.8658
##  (R3 - 19) - SC1        -1.1667 0.739 228  -1.579  0.9900
##  (R3 - 19) - SC2        -1.6556 0.739 228  -2.241  0.7719
##  (R3 - 19) - SC3        -2.0111 0.739 228  -2.722  0.4176
##  (R3 - 19) - SC4        -2.1667 0.739 228  -2.933  0.2788
##  (R3 - 4) - (R3 - 7)     1.3667 0.739 228   1.850  0.9488
##  (R3 - 4) - (R3 - 9)     1.8667 0.739 228   2.527  0.5648
##  (R3 - 4) - (R4 - 1)     4.4000 0.739 228   5.956 <0.0001
##  (R3 - 4) - (R4 - 14)    3.9000 0.739 228   5.279 <0.0001
##  (R3 - 4) - (R4 - 6)     4.5222 0.739 228   6.121 <0.0001
##  (R3 - 4) - (R4 - 8)     4.7334 0.739 228   6.407 <0.0001
##  (R3 - 4) - SC1          2.0333 0.739 228   2.752  0.3961
##  (R3 - 4) - SC2          1.5445 0.739 228   2.090  0.8583
##  (R3 - 4) - SC3          1.1889 0.739 228   1.609  0.9876
##  (R3 - 4) - SC4          1.0333 0.739 228   1.399  0.9977
##  (R3 - 7) - (R3 - 9)     0.5000 0.739 228   0.677  1.0000
##  (R3 - 7) - (R4 - 1)     3.0333 0.739 228   4.106  0.0084
##  (R3 - 7) - (R4 - 14)    2.5333 0.739 228   3.429  0.0802
##  (R3 - 7) - (R4 - 6)     3.1556 0.739 228   4.271  0.0045
##  (R3 - 7) - (R4 - 8)     3.3667 0.739 228   4.557  0.0014
##  (R3 - 7) - SC1          0.6667 0.739 228   0.902  1.0000
##  (R3 - 7) - SC2          0.1778 0.739 228   0.241  1.0000
##  (R3 - 7) - SC3         -0.1778 0.739 228  -0.241  1.0000
##  (R3 - 7) - SC4         -0.3333 0.739 228  -0.451  1.0000
##  (R3 - 9) - (R4 - 1)     2.5333 0.739 228   3.429  0.0802
##  (R3 - 9) - (R4 - 14)    2.0333 0.739 228   2.752  0.3961
##  (R3 - 9) - (R4 - 6)     2.6556 0.739 228   3.594  0.0488
##  (R3 - 9) - (R4 - 8)     2.8667 0.739 228   3.880  0.0190
##  (R3 - 9) - SC1          0.1667 0.739 228   0.226  1.0000
##  (R3 - 9) - SC2         -0.3222 0.739 228  -0.436  1.0000
##  (R3 - 9) - SC3         -0.6778 0.739 228  -0.917  1.0000
##  (R3 - 9) - SC4         -0.8333 0.739 228  -1.128  0.9999
##  (R4 - 1) - (R4 - 14)   -0.5000 0.739 228  -0.677  1.0000
##  (R4 - 1) - (R4 - 6)     0.1222 0.739 228   0.165  1.0000
##  (R4 - 1) - (R4 - 8)     0.3333 0.739 228   0.451  1.0000
##  (R4 - 1) - SC1         -2.3667 0.739 228  -3.203  0.1483
##  (R4 - 1) - SC2         -2.8556 0.739 228  -3.865  0.0200
##  (R4 - 1) - SC3         -3.2111 0.739 228  -4.346  0.0033
##  (R4 - 1) - SC4         -3.3667 0.739 228  -4.557  0.0014
##  (R4 - 14) - (R4 - 6)    0.6222 0.739 228   0.842  1.0000
##  (R4 - 14) - (R4 - 8)    0.8333 0.739 228   1.128  0.9999
##  (R4 - 14) - SC1        -1.8667 0.739 228  -2.527  0.5648
##  (R4 - 14) - SC2        -2.3556 0.739 228  -3.188  0.1540
##  (R4 - 14) - SC3        -2.7111 0.739 228  -3.670  0.0384
##  (R4 - 14) - SC4        -2.8667 0.739 228  -3.880  0.0190
##  (R4 - 6) - (R4 - 8)     0.2111 0.739 228   0.286  1.0000
##  (R4 - 6) - SC1         -2.4889 0.739 228  -3.369  0.0952
##  (R4 - 6) - SC2         -2.9778 0.739 228  -4.030  0.0111
##  (R4 - 6) - SC3         -3.3333 0.739 228  -4.512  0.0017
##  (R4 - 6) - SC4         -3.4889 0.739 228  -4.722  0.0007
##  (R4 - 8) - SC1         -2.7000 0.739 228  -3.655  0.0403
##  (R4 - 8) - SC2         -3.1889 0.739 228  -4.316  0.0037
##  (R4 - 8) - SC3         -3.5445 0.739 228  -4.797  0.0005
##  (R4 - 8) - SC4         -3.7000 0.739 228  -5.008  0.0002
##  SC1 - SC2              -0.4889 0.739 228  -0.662  1.0000
##  SC1 - SC3              -0.8444 0.739 228  -1.143  0.9999
##  SC1 - SC4              -1.0000 0.739 228  -1.354  0.9985
##  SC2 - SC3              -0.3556 0.739 228  -0.481  1.0000
##  SC2 - SC4              -0.5111 0.739 228  -0.692  1.0000
##  SC3 - SC4              -0.1556 0.739 228  -0.211  1.0000
## 
## Environment = E6:
##  contrast              estimate    SE  df t.ratio p.value
##  (R1 - 1) - (R1 - 20)   -3.4334 0.739 228  -4.647  0.0010
##  (R1 - 1) - (R2 - 10)   -6.0000 0.739 228  -8.121 <0.0001
##  (R1 - 1) - (R2 - 15)    0.8667 0.739 228   1.173  0.9998
##  (R1 - 1) - (R3 - 1)    -2.9333 0.739 228  -3.970  0.0138
##  (R1 - 1) - (R3 - 10)   -9.0334 0.739 228 -12.227 <0.0001
##  (R1 - 1) - (R3 - 14)   -0.8000 0.739 228  -1.083  0.9999
##  (R1 - 1) - (R3 - 17)   -2.5000 0.739 228  -3.384  0.0912
##  (R1 - 1) - (R3 - 19)  -12.6667 0.739 228 -17.145 <0.0001
##  (R1 - 1) - (R3 - 4)     0.3000 0.739 228   0.406  1.0000
##  (R1 - 1) - (R3 - 7)     0.2000 0.739 228   0.271  1.0000
##  (R1 - 1) - (R3 - 9)    -3.5167 0.739 228  -4.760  0.0006
##  (R1 - 1) - (R4 - 1)    -1.7000 0.739 228  -2.301  0.7318
##  (R1 - 1) - (R4 - 14)   -2.5333 0.739 228  -3.429  0.0802
##  (R1 - 1) - (R4 - 6)    -7.2334 0.739 228  -9.791 <0.0001
##  (R1 - 1) - (R4 - 8)    -1.0667 0.739 228  -1.444  0.9965
##  (R1 - 1) - SC1         -1.9000 0.739 228  -2.572  0.5301
##  (R1 - 1) - SC2         -3.2667 0.739 228  -4.422  0.0025
##  (R1 - 1) - SC3         -0.3333 0.739 228  -0.451  1.0000
##  (R1 - 1) - SC4         -0.6000 0.739 228  -0.812  1.0000
##  (R1 - 20) - (R2 - 10)  -2.5667 0.739 228  -3.474  0.0703
##  (R1 - 20) - (R2 - 15)   4.3000 0.739 228   5.820 <0.0001
##  (R1 - 20) - (R3 - 1)    0.5000 0.739 228   0.677  1.0000
##  (R1 - 20) - (R3 - 10)  -5.6000 0.739 228  -7.580 <0.0001
##  (R1 - 20) - (R3 - 14)   2.6333 0.739 228   3.564  0.0535
##  (R1 - 20) - (R3 - 17)   0.9333 0.739 228   1.263  0.9994
##  (R1 - 20) - (R3 - 19)  -9.2334 0.739 228 -12.498 <0.0001
##  (R1 - 20) - (R3 - 4)    3.7334 0.739 228   5.053  0.0002
##  (R1 - 20) - (R3 - 7)    3.6334 0.739 228   4.918  0.0003
##  (R1 - 20) - (R3 - 9)   -0.0833 0.739 228  -0.113  1.0000
##  (R1 - 20) - (R4 - 1)    1.7333 0.739 228   2.346  0.7001
##  (R1 - 20) - (R4 - 14)   0.9000 0.739 228   1.218  0.9996
##  (R1 - 20) - (R4 - 6)   -3.8000 0.739 228  -5.143  0.0001
##  (R1 - 20) - (R4 - 8)    2.3667 0.739 228   3.203  0.1483
##  (R1 - 20) - SC1         1.5333 0.739 228   2.075  0.8658
##  (R1 - 20) - SC2         0.1667 0.739 228   0.226  1.0000
##  (R1 - 20) - SC3         3.1000 0.739 228   4.196  0.0060
##  (R1 - 20) - SC4         2.8333 0.739 228   3.835  0.0222
##  (R2 - 10) - (R2 - 15)   6.8667 0.739 228   9.294 <0.0001
##  (R2 - 10) - (R3 - 1)    3.0667 0.739 228   4.151  0.0071
##  (R2 - 10) - (R3 - 10)  -3.0333 0.739 228  -4.106  0.0084
##  (R2 - 10) - (R3 - 14)   5.2000 0.739 228   7.038 <0.0001
##  (R2 - 10) - (R3 - 17)   3.5000 0.739 228   4.737  0.0007
##  (R2 - 10) - (R3 - 19)  -6.6667 0.739 228  -9.024 <0.0001
##  (R2 - 10) - (R3 - 4)    6.3000 0.739 228   8.527 <0.0001
##  (R2 - 10) - (R3 - 7)    6.2000 0.739 228   8.392 <0.0001
##  (R2 - 10) - (R3 - 9)    2.4833 0.739 228   3.361  0.0972
##  (R2 - 10) - (R4 - 1)    4.3000 0.739 228   5.820 <0.0001
##  (R2 - 10) - (R4 - 14)   3.4667 0.739 228   4.692  0.0008
##  (R2 - 10) - (R4 - 6)   -1.2333 0.739 228  -1.669  0.9815
##  (R2 - 10) - (R4 - 8)    4.9334 0.739 228   6.677 <0.0001
##  (R2 - 10) - SC1         4.1000 0.739 228   5.549 <0.0001
##  (R2 - 10) - SC2         2.7333 0.739 228   3.700  0.0348
##  (R2 - 10) - SC3         5.6667 0.739 228   7.670 <0.0001
##  (R2 - 10) - SC4         5.4000 0.739 228   7.309 <0.0001
##  (R2 - 15) - (R3 - 1)   -3.8000 0.739 228  -5.143  0.0001
##  (R2 - 15) - (R3 - 10)  -9.9000 0.739 228 -13.400 <0.0001
##  (R2 - 15) - (R3 - 14)  -1.6667 0.739 228  -2.256  0.7621
##  (R2 - 15) - (R3 - 17)  -3.3667 0.739 228  -4.557  0.0014
##  (R2 - 15) - (R3 - 19) -13.5334 0.739 228 -18.318 <0.0001
##  (R2 - 15) - (R3 - 4)   -0.5667 0.739 228  -0.767  1.0000
##  (R2 - 15) - (R3 - 7)   -0.6667 0.739 228  -0.902  1.0000
##  (R2 - 15) - (R3 - 9)   -4.3834 0.739 228  -5.933 <0.0001
##  (R2 - 15) - (R4 - 1)   -2.5667 0.739 228  -3.474  0.0703
##  (R2 - 15) - (R4 - 14)  -3.4000 0.739 228  -4.602  0.0012
##  (R2 - 15) - (R4 - 6)   -8.1000 0.739 228 -10.964 <0.0001
##  (R2 - 15) - (R4 - 8)   -1.9333 0.739 228  -2.617  0.4957
##  (R2 - 15) - SC1        -2.7667 0.739 228  -3.745  0.0300
##  (R2 - 15) - SC2        -4.1334 0.739 228  -5.595 <0.0001
##  (R2 - 15) - SC3        -1.2000 0.739 228  -1.624  0.9863
##  (R2 - 15) - SC4        -1.4667 0.739 228  -1.985  0.9053
##  (R3 - 1) - (R3 - 10)   -6.1000 0.739 228  -8.257 <0.0001
##  (R3 - 1) - (R3 - 14)    2.1333 0.739 228   2.888  0.3061
##  (R3 - 1) - (R3 - 17)    0.4333 0.739 228   0.587  1.0000
##  (R3 - 1) - (R3 - 19)   -9.7334 0.739 228 -13.174 <0.0001
##  (R3 - 1) - (R3 - 4)     3.2333 0.739 228   4.376  0.0029
##  (R3 - 1) - (R3 - 7)     3.1333 0.739 228   4.241  0.0050
##  (R3 - 1) - (R3 - 9)    -0.5833 0.739 228  -0.790  1.0000
##  (R3 - 1) - (R4 - 1)     1.2333 0.739 228   1.669  0.9815
##  (R3 - 1) - (R4 - 14)    0.4000 0.739 228   0.541  1.0000
##  (R3 - 1) - (R4 - 6)    -4.3000 0.739 228  -5.820 <0.0001
##  (R3 - 1) - (R4 - 8)     1.8667 0.739 228   2.527  0.5648
##  (R3 - 1) - SC1          1.0333 0.739 228   1.399  0.9977
##  (R3 - 1) - SC2         -0.3333 0.739 228  -0.451  1.0000
##  (R3 - 1) - SC3          2.6000 0.739 228   3.519  0.0614
##  (R3 - 1) - SC4          2.3333 0.739 228   3.158  0.1661
##  (R3 - 10) - (R3 - 14)   8.2334 0.739 228  11.144 <0.0001
##  (R3 - 10) - (R3 - 17)   6.5334 0.739 228   8.843 <0.0001
##  (R3 - 10) - (R3 - 19)  -3.6334 0.739 228  -4.918  0.0003
##  (R3 - 10) - (R3 - 4)    9.3334 0.739 228  12.633 <0.0001
##  (R3 - 10) - (R3 - 7)    9.2334 0.739 228  12.498 <0.0001
##  (R3 - 10) - (R3 - 9)    5.5167 0.739 228   7.467 <0.0001
##  (R3 - 10) - (R4 - 1)    7.3334 0.739 228   9.926 <0.0001
##  (R3 - 10) - (R4 - 14)   6.5000 0.739 228   8.798 <0.0001
##  (R3 - 10) - (R4 - 6)    1.8000 0.739 228   2.436  0.6336
##  (R3 - 10) - (R4 - 8)    7.9667 0.739 228  10.783 <0.0001
##  (R3 - 10) - SC1         7.1334 0.739 228   9.655 <0.0001
##  (R3 - 10) - SC2         5.7667 0.739 228   7.805 <0.0001
##  (R3 - 10) - SC3         8.7000 0.739 228  11.776 <0.0001
##  (R3 - 10) - SC4         8.4334 0.739 228  11.415 <0.0001
##  (R3 - 14) - (R3 - 17)  -1.7000 0.739 228  -2.301  0.7318
##  (R3 - 14) - (R3 - 19) -11.8667 0.739 228 -16.062 <0.0001
##  (R3 - 14) - (R3 - 4)    1.1000 0.739 228   1.489  0.9950
##  (R3 - 14) - (R3 - 7)    1.0000 0.739 228   1.354  0.9985
##  (R3 - 14) - (R3 - 9)   -2.7167 0.739 228  -3.677  0.0375
##  (R3 - 14) - (R4 - 1)   -0.9000 0.739 228  -1.218  0.9996
##  (R3 - 14) - (R4 - 14)  -1.7333 0.739 228  -2.346  0.7001
##  (R3 - 14) - (R4 - 6)   -6.4334 0.739 228  -8.708 <0.0001
##  (R3 - 14) - (R4 - 8)   -0.2667 0.739 228  -0.361  1.0000
##  (R3 - 14) - SC1        -1.1000 0.739 228  -1.489  0.9950
##  (R3 - 14) - SC2        -2.4667 0.739 228  -3.339  0.1035
##  (R3 - 14) - SC3         0.4667 0.739 228   0.632  1.0000
##  (R3 - 14) - SC4         0.2000 0.739 228   0.271  1.0000
##  (R3 - 17) - (R3 - 19) -10.1667 0.739 228 -13.761 <0.0001
##  (R3 - 17) - (R3 - 4)    2.8000 0.739 228   3.790  0.0258
##  (R3 - 17) - (R3 - 7)    2.7000 0.739 228   3.655  0.0403
##  (R3 - 17) - (R3 - 9)   -1.0167 0.739 228  -1.376  0.9981
##  (R3 - 17) - (R4 - 1)    0.8000 0.739 228   1.083  0.9999
##  (R3 - 17) - (R4 - 14)  -0.0333 0.739 228  -0.045  1.0000
##  (R3 - 17) - (R4 - 6)   -4.7334 0.739 228  -6.407 <0.0001
##  (R3 - 17) - (R4 - 8)    1.4333 0.739 228   1.940  0.9218
##  (R3 - 17) - SC1         0.6000 0.739 228   0.812  1.0000
##  (R3 - 17) - SC2        -0.7667 0.739 228  -1.038  1.0000
##  (R3 - 17) - SC3         2.1667 0.739 228   2.933  0.2788
##  (R3 - 17) - SC4         1.9000 0.739 228   2.572  0.5301
##  (R3 - 19) - (R3 - 4)   12.9667 0.739 228  17.551 <0.0001
##  (R3 - 19) - (R3 - 7)   12.8667 0.739 228  17.415 <0.0001
##  (R3 - 19) - (R3 - 9)    9.1500 0.739 228  12.385 <0.0001
##  (R3 - 19) - (R4 - 1)   10.9667 0.739 228  14.844 <0.0001
##  (R3 - 19) - (R4 - 14)  10.1334 0.739 228  13.716 <0.0001
##  (R3 - 19) - (R4 - 6)    5.4334 0.739 228   7.354 <0.0001
##  (R3 - 19) - (R4 - 8)   11.6001 0.739 228  15.701 <0.0001
##  (R3 - 19) - SC1        10.7667 0.739 228  14.573 <0.0001
##  (R3 - 19) - SC2         9.4000 0.739 228  12.723 <0.0001
##  (R3 - 19) - SC3        12.3334 0.739 228  16.693 <0.0001
##  (R3 - 19) - SC4        12.0667 0.739 228  16.333 <0.0001
##  (R3 - 4) - (R3 - 7)    -0.1000 0.739 228  -0.135  1.0000
##  (R3 - 4) - (R3 - 9)    -3.8167 0.739 228  -5.166 <0.0001
##  (R3 - 4) - (R4 - 1)    -2.0000 0.739 228  -2.707  0.4285
##  (R3 - 4) - (R4 - 14)   -2.8333 0.739 228  -3.835  0.0222
##  (R3 - 4) - (R4 - 6)    -7.5334 0.739 228 -10.197 <0.0001
##  (R3 - 4) - (R4 - 8)    -1.3667 0.739 228  -1.850  0.9488
##  (R3 - 4) - SC1         -2.2000 0.739 228  -2.978  0.2531
##  (R3 - 4) - SC2         -3.5667 0.739 228  -4.828  0.0004
##  (R3 - 4) - SC3         -0.6333 0.739 228  -0.857  1.0000
##  (R3 - 4) - SC4         -0.9000 0.739 228  -1.218  0.9996
##  (R3 - 7) - (R3 - 9)    -3.7167 0.739 228  -5.031  0.0002
##  (R3 - 7) - (R4 - 1)    -1.9000 0.739 228  -2.572  0.5301
##  (R3 - 7) - (R4 - 14)   -2.7333 0.739 228  -3.700  0.0348
##  (R3 - 7) - (R4 - 6)    -7.4334 0.739 228 -10.061 <0.0001
##  (R3 - 7) - (R4 - 8)    -1.2667 0.739 228  -1.714  0.9756
##  (R3 - 7) - SC1         -2.1000 0.739 228  -2.842  0.3348
##  (R3 - 7) - SC2         -3.4667 0.739 228  -4.692  0.0008
##  (R3 - 7) - SC3         -0.5333 0.739 228  -0.722  1.0000
##  (R3 - 7) - SC4         -0.8000 0.739 228  -1.083  0.9999
##  (R3 - 9) - (R4 - 1)     1.8167 0.739 228   2.459  0.6165
##  (R3 - 9) - (R4 - 14)    0.9833 0.739 228   1.331  0.9988
##  (R3 - 9) - (R4 - 6)    -3.7167 0.739 228  -5.031  0.0002
##  (R3 - 9) - (R4 - 8)     2.4500 0.739 228   3.316  0.1101
##  (R3 - 9) - SC1          1.6167 0.739 228   2.188  0.8045
##  (R3 - 9) - SC2          0.2500 0.739 228   0.338  1.0000
##  (R3 - 9) - SC3          3.1833 0.739 228   4.309  0.0039
##  (R3 - 9) - SC4          2.9167 0.739 228   3.948  0.0150
##  (R4 - 1) - (R4 - 14)   -0.8333 0.739 228  -1.128  0.9999
##  (R4 - 1) - (R4 - 6)    -5.5334 0.739 228  -7.490 <0.0001
##  (R4 - 1) - (R4 - 8)     0.6333 0.739 228   0.857  1.0000
##  (R4 - 1) - SC1         -0.2000 0.739 228  -0.271  1.0000
##  (R4 - 1) - SC2         -1.5667 0.739 228  -2.121  0.8428
##  (R4 - 1) - SC3          1.3667 0.739 228   1.850  0.9488
##  (R4 - 1) - SC4          1.1000 0.739 228   1.489  0.9950
##  (R4 - 14) - (R4 - 6)   -4.7000 0.739 228  -6.362 <0.0001
##  (R4 - 14) - (R4 - 8)    1.4667 0.739 228   1.985  0.9053
##  (R4 - 14) - SC1         0.6333 0.739 228   0.857  1.0000
##  (R4 - 14) - SC2        -0.7333 0.739 228  -0.993  1.0000
##  (R4 - 14) - SC3         2.2000 0.739 228   2.978  0.2531
##  (R4 - 14) - SC4         1.9333 0.739 228   2.617  0.4957
##  (R4 - 6) - (R4 - 8)     6.1667 0.739 228   8.347 <0.0001
##  (R4 - 6) - SC1          5.3334 0.739 228   7.219 <0.0001
##  (R4 - 6) - SC2          3.9667 0.739 228   5.369 <0.0001
##  (R4 - 6) - SC3          6.9000 0.739 228   9.339 <0.0001
##  (R4 - 6) - SC4          6.6334 0.739 228   8.978 <0.0001
##  (R4 - 8) - SC1         -0.8333 0.739 228  -1.128  0.9999
##  (R4 - 8) - SC2         -2.2000 0.739 228  -2.978  0.2531
##  (R4 - 8) - SC3          0.7333 0.739 228   0.993  1.0000
##  (R4 - 8) - SC4          0.4667 0.739 228   0.632  1.0000
##  SC1 - SC2              -1.3667 0.739 228  -1.850  0.9488
##  SC1 - SC3               1.5667 0.739 228   2.121  0.8428
##  SC1 - SC4               1.3000 0.739 228   1.760  0.9683
##  SC2 - SC3               2.9333 0.739 228   3.970  0.0138
##  SC2 - SC4               2.6667 0.739 228   3.609  0.0465
##  SC3 - SC4              -0.2667 0.739 228  -0.361  1.0000
## 
## Degrees-of-freedom method: kenward-roger 
## P value adjustment: tukey method for comparing a family of 20 estimates

================================================================

20. CONFIDENCE INTERVAL

================================================================

confint(
  emm_GE
)
## Environment = E1:
##  Genotype emmean   SE  df lower.CL upper.CL
##  R1 - 1     4.23 0.53 237    3.190     5.28
##  R1 - 20    4.23 0.53 237    3.190     5.28
##  R2 - 10    8.90 0.53 237    7.856     9.94
##  R2 - 15    7.27 0.53 237    6.223     8.31
##  R3 - 1     7.07 0.53 237    6.023     8.11
##  R3 - 10    6.87 0.53 237    5.823     7.91
##  R3 - 14    3.80 0.53 237    2.756     4.84
##  R3 - 17    6.02 0.53 237    4.979     7.07
##  R3 - 19    5.43 0.53 237    4.390     6.48
##  R3 - 4     5.71 0.53 237    4.667     6.75
##  R3 - 7     3.67 0.53 237    2.623     4.71
##  R3 - 9     4.87 0.53 237    3.823     5.91
##  R4 - 1     7.60 0.53 237    6.556     8.64
##  R4 - 14    3.27 0.53 237    2.223     4.31
##  R4 - 6     7.30 0.53 237    6.256     8.34
##  R4 - 8     8.80 0.53 237    7.756     9.84
##  SC1        6.80 0.53 237    5.756     7.84
##  SC2        2.73 0.53 237    1.690     3.78
##  SC3        4.60 0.53 237    3.556     5.64
##  SC4        5.63 0.53 237    4.590     6.68
## 
## Environment = E2:
##  Genotype emmean   SE  df lower.CL upper.CL
##  R1 - 1     4.37 0.53 237    3.323     5.41
##  R1 - 20    5.27 0.53 237    4.223     6.31
##  R2 - 10    4.33 0.53 237    3.290     5.38
##  R2 - 15    2.43 0.53 237    1.390     3.48
##  R3 - 1     3.47 0.53 237    2.423     4.51
##  R3 - 10    6.53 0.53 237    5.490     7.58
##  R3 - 14    5.00 0.53 237    3.956     6.04
##  R3 - 17    4.23 0.53 237    3.190     5.28
##  R3 - 19    2.77 0.53 237    1.723     3.81
##  R3 - 4     6.40 0.53 237    5.356     7.44
##  R3 - 7     7.07 0.53 237    6.023     8.11
##  R3 - 9     4.77 0.53 237    3.723     5.81
##  R4 - 1     7.27 0.53 237    6.223     8.31
##  R4 - 14    6.05 0.53 237    5.006     7.09
##  R4 - 6     6.40 0.53 237    5.356     7.44
##  R4 - 8     5.03 0.53 237    3.990     6.08
##  SC1        4.13 0.53 237    3.090     5.18
##  SC2        5.20 0.53 237    4.156     6.24
##  SC3        5.13 0.53 237    4.090     6.18
##  SC4        2.97 0.53 237    1.923     4.01
## 
## Environment = E3:
##  Genotype emmean   SE  df lower.CL upper.CL
##  R1 - 1     6.33 0.53 237    5.290     7.38
##  R1 - 20    8.20 0.53 237    7.156     9.24
##  R2 - 10    6.07 0.53 237    5.023     7.11
##  R2 - 15    6.83 0.53 237    5.790     7.88
##  R3 - 1     8.67 0.53 237    7.623     9.71
##  R3 - 10    7.77 0.53 237    6.723     8.81
##  R3 - 14    4.17 0.53 237    3.123     5.21
##  R3 - 17    7.07 0.53 237    6.023     8.11
##  R3 - 19    5.13 0.53 237    4.090     6.18
##  R3 - 4     4.20 0.53 237    3.156     5.24
##  R3 - 7    10.60 0.53 237    9.556    11.64
##  R3 - 9     6.44 0.53 237    5.401     7.49
##  R4 - 1     6.57 0.53 237    5.523     7.61
##  R4 - 14    8.91 0.53 237    7.868     9.95
##  R4 - 6     5.07 0.53 237    4.023     6.11
##  R4 - 8     2.53 0.53 237    1.490     3.58
##  SC1        3.70 0.53 237    2.656     4.74
##  SC2        4.47 0.53 237    3.423     5.51
##  SC3        5.87 0.53 237    4.823     6.91
##  SC4        5.83 0.53 237    4.790     6.88
## 
## Environment = E4:
##  Genotype emmean   SE  df lower.CL upper.CL
##  R1 - 1     8.03 0.53 237    6.990     9.08
##  R1 - 20    1.57 0.53 237    0.523     2.61
##  R2 - 10   15.33 0.53 237   14.290    16.38
##  R2 - 15    6.77 0.53 237    5.723     7.81
##  R3 - 1     7.00 0.53 237    5.956     8.04
##  R3 - 10   13.40 0.53 237   12.356    14.44
##  R3 - 14    2.73 0.53 237    1.690     3.78
##  R3 - 17    8.07 0.53 237    7.023     9.11
##  R3 - 19    5.40 0.53 237    4.356     6.44
##  R3 - 4     4.13 0.53 237    3.090     5.18
##  R3 - 7    10.47 0.53 237    9.423    11.51
##  R3 - 9     7.42 0.53 237    6.373     8.46
##  R4 - 1    14.00 0.53 237   12.956    15.04
##  R4 - 14    7.43 0.53 237    6.390     8.48
##  R4 - 6     3.07 0.53 237    2.023     4.11
##  R4 - 8     7.72 0.53 237    6.673     8.76
##  SC1       11.07 0.53 237   10.023    12.11
##  SC2        8.37 0.53 237    7.323     9.41
##  SC3        5.70 0.53 237    4.656     6.74
##  SC4        3.80 0.53 237    2.756     4.84
## 
## Environment = E5:
##  Genotype emmean   SE  df lower.CL upper.CL
##  R1 - 1     9.33 0.53 237    8.290    10.38
##  R1 - 20    6.93 0.53 237    5.890     7.98
##  R2 - 10    5.00 0.53 237    3.956     6.04
##  R2 - 15    7.93 0.53 237    6.890     8.98
##  R3 - 1     2.63 0.53 237    1.590     3.68
##  R3 - 10    5.77 0.53 237    4.723     6.81
##  R3 - 14    4.87 0.53 237    3.823     5.91
##  R3 - 17    3.37 0.53 237    2.323     4.41
##  R3 - 19    3.63 0.53 237    2.590     4.68
##  R3 - 4     6.83 0.53 237    5.790     7.88
##  R3 - 7     5.47 0.53 237    4.423     6.51
##  R3 - 9     4.97 0.53 237    3.923     6.01
##  R4 - 1     2.43 0.53 237    1.390     3.48
##  R4 - 14    2.93 0.53 237    1.890     3.98
##  R4 - 6     2.31 0.53 237    1.267     3.35
##  R4 - 8     2.10 0.53 237    1.056     3.14
##  SC1        4.80 0.53 237    3.756     5.84
##  SC2        5.29 0.53 237    4.245     6.33
##  SC3        5.64 0.53 237    4.601     6.69
##  SC4        5.80 0.53 237    4.756     6.84
## 
## Environment = E6:
##  Genotype emmean   SE  df lower.CL upper.CL
##  R1 - 1     2.40 0.53 237    1.356     3.44
##  R1 - 20    5.83 0.53 237    4.790     6.88
##  R2 - 10    8.40 0.53 237    7.356     9.44
##  R2 - 15    1.53 0.53 237    0.490     2.58
##  R3 - 1     5.33 0.53 237    4.290     6.38
##  R3 - 10   11.43 0.53 237   10.390    12.48
##  R3 - 14    3.20 0.53 237    2.156     4.24
##  R3 - 17    4.90 0.53 237    3.856     5.94
##  R3 - 19   15.07 0.53 237   14.023    16.11
##  R3 - 4     2.10 0.53 237    1.056     3.14
##  R3 - 7     2.20 0.53 237    1.156     3.24
##  R3 - 9     5.92 0.53 237    4.873     6.96
##  R4 - 1     4.10 0.53 237    3.056     5.14
##  R4 - 14    4.93 0.53 237    3.890     5.98
##  R4 - 6     9.63 0.53 237    8.590    10.68
##  R4 - 8     3.47 0.53 237    2.423     4.51
##  SC1        4.30 0.53 237    3.256     5.34
##  SC2        5.67 0.53 237    4.623     6.71
##  SC3        2.73 0.53 237    1.690     3.78
##  SC4        3.00 0.53 237    1.956     4.04
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95

================================================================

21. KELOMPOK HURUF GENOTYPE

PADA MASING-MASING ENVIRONMENT

================================================================

cld_GE <- cld(
  emm_GE,
  Letters = letters,
  adjust = "tukey"
)
## Note: adjust = "tukey" was changed to "sidak"
## because "tukey" is only appropriate for one set of pairwise comparisons
cld_GE
## Environment = E1:
##  Genotype emmean   SE  df lower.CL upper.CL .group     
##  SC2        2.73 0.53 237   1.1184     4.35  a         
##  R4 - 14    3.27 0.53 237   1.6517     4.88  ab        
##  R3 - 7     3.67 0.53 237   2.0517     5.28  abc       
##  R3 - 14    3.80 0.53 237   2.1851     5.41  abc       
##  R1 - 1     4.23 0.53 237   2.6184     5.85  abcd      
##  R1 - 20    4.23 0.53 237   2.6184     5.85  abcd      
##  SC3        4.60 0.53 237   2.9851     6.21  abcde     
##  R3 - 9     4.87 0.53 237   3.2517     6.48  abcdef    
##  R3 - 19    5.43 0.53 237   3.8184     7.05   bcdefg   
##  SC4        5.63 0.53 237   4.0184     7.25   bcdefg   
##  R3 - 4     5.71 0.53 237   4.0962     7.33   bcdefg   
##  R3 - 17    6.02 0.53 237   4.4073     7.64    cdefg   
##  SC1        6.80 0.53 237   5.1851     8.41     defgh  
##  R3 - 10    6.87 0.53 237   5.2517     8.48     defgh  
##  R3 - 1     7.07 0.53 237   5.4517     8.68      efgh  
##  R2 - 15    7.27 0.53 237   5.6517     8.88       fgh  
##  R4 - 6     7.30 0.53 237   5.6851     8.91       fgh  
##  R4 - 1     7.60 0.53 237   5.9851     9.21        gh  
##  R4 - 8     8.80 0.53 237   7.1851    10.41         h  
##  R2 - 10    8.90 0.53 237   7.2851    10.51         h  
## 
## Environment = E2:
##  Genotype emmean   SE  df lower.CL upper.CL .group     
##  R2 - 15    2.43 0.53 237   0.8184     4.05  a         
##  R3 - 19    2.77 0.53 237   1.1518     4.38  ab        
##  SC4        2.97 0.53 237   1.3518     4.58  ab        
##  R3 - 1     3.47 0.53 237   1.8518     5.08  abc       
##  SC1        4.13 0.53 237   2.5184     5.75  abcd      
##  R3 - 17    4.23 0.53 237   2.6184     5.85  abcd      
##  R2 - 10    4.33 0.53 237   2.7184     5.95  abcd      
##  R1 - 1     4.37 0.53 237   2.7518     5.98  abcd      
##  R3 - 9     4.77 0.53 237   3.1518     6.38  abcde     
##  R3 - 14    5.00 0.53 237   3.3851     6.61  abcde     
##  R4 - 8     5.03 0.53 237   3.4184     6.65  abcde     
##  SC3        5.13 0.53 237   3.5184     6.75   bcde     
##  SC2        5.20 0.53 237   3.5851     6.81   bcde     
##  R1 - 20    5.27 0.53 237   3.6518     6.88   bcde     
##  R4 - 14    6.05 0.53 237   4.4351     7.66    cde     
##  R3 - 4     6.40 0.53 237   4.7851     8.01     de     
##  R4 - 6     6.40 0.53 237   4.7851     8.01     de     
##  R3 - 10    6.53 0.53 237   4.9184     8.15     de     
##  R3 - 7     7.07 0.53 237   5.4518     8.68      e     
##  R4 - 1     7.27 0.53 237   5.6518     8.88      e     
## 
## Environment = E3:
##  Genotype emmean   SE  df lower.CL upper.CL .group     
##  R4 - 8     2.53 0.53 237   0.9184     4.15  a         
##  SC1        3.70 0.53 237   2.0851     5.31  ab        
##  R3 - 14    4.17 0.53 237   2.5518     5.78  abc       
##  R3 - 4     4.20 0.53 237   2.5851     5.81  abcd      
##  SC2        4.47 0.53 237   2.8518     6.08  abcde     
##  R4 - 6     5.07 0.53 237   3.4518     6.68  abcde     
##  R3 - 19    5.13 0.53 237   3.5184     6.75  abcdef    
##  SC4        5.83 0.53 237   4.2184     7.45   bcdefg   
##  SC3        5.87 0.53 237   4.2518     7.48   bcdefg   
##  R2 - 10    6.07 0.53 237   4.4518     7.68   bcdefgh  
##  R1 - 1     6.33 0.53 237   4.7184     7.95   bcdefghi 
##  R3 - 9     6.44 0.53 237   4.8295     8.06    cdefghi 
##  R4 - 1     6.57 0.53 237   4.9518     8.18    cdefghi 
##  R2 - 15    6.83 0.53 237   5.2184     8.45     defghi 
##  R3 - 17    7.07 0.53 237   5.4518     8.68      efghi 
##  R3 - 10    7.77 0.53 237   6.1518     9.38       fghi 
##  R1 - 20    8.20 0.53 237   6.5851     9.81        ghij
##  R3 - 1     8.67 0.53 237   7.0518    10.28         hij
##  R4 - 14    8.91 0.53 237   7.2962    10.53          ij
##  R3 - 7    10.60 0.53 237   8.9851    12.21           j
## 
## Environment = E4:
##  Genotype emmean   SE  df lower.CL upper.CL .group     
##  R1 - 20    1.57 0.53 237  -0.0483     3.18  a         
##  R3 - 14    2.73 0.53 237   1.1184     4.35  a         
##  R4 - 6     3.07 0.53 237   1.4517     4.68  ab        
##  SC4        3.80 0.53 237   2.1851     5.41  ab        
##  R3 - 4     4.13 0.53 237   2.5184     5.75  abc       
##  R3 - 19    5.40 0.53 237   3.7851     7.01   bcd      
##  SC3        5.70 0.53 237   4.0851     7.31   bcde     
##  R2 - 15    6.77 0.53 237   5.1517     8.38    cdef    
##  R3 - 1     7.00 0.53 237   5.3851     8.61     def    
##  R3 - 9     7.42 0.53 237   5.8017     9.03     def    
##  R4 - 14    7.43 0.53 237   5.8184     9.05     def    
##  R4 - 8     7.72 0.53 237   6.1017     9.33     def    
##  R1 - 1     8.03 0.53 237   6.4184     9.65     defg   
##  R3 - 17    8.07 0.53 237   6.4517     9.68      efg   
##  SC2        8.37 0.53 237   6.7517     9.98       fg   
##  R3 - 7    10.47 0.53 237   8.8517    12.08        gh  
##  SC1       11.07 0.53 237   9.4517    12.68         hi 
##  R3 - 10   13.40 0.53 237  11.7851    15.01          ij
##  R4 - 1    14.00 0.53 237  12.3851    15.61           j
##  R2 - 10   15.33 0.53 237  13.7184    16.95           j
## 
## Environment = E5:
##  Genotype emmean   SE  df lower.CL upper.CL .group     
##  R4 - 8     2.10 0.53 237   0.4851     3.71  a         
##  R4 - 6     2.31 0.53 237   0.6962     3.93  ab        
##  R4 - 1     2.43 0.53 237   0.8184     4.05  abc       
##  R3 - 1     2.63 0.53 237   1.0184     4.25  abc       
##  R4 - 14    2.93 0.53 237   1.3184     4.55  abcd      
##  R3 - 17    3.37 0.53 237   1.7518     4.98  abcde     
##  R3 - 19    3.63 0.53 237   2.0184     5.25  abcde     
##  SC1        4.80 0.53 237   3.1851     6.41   bcdef    
##  R3 - 14    4.87 0.53 237   3.2518     6.48   bcdef    
##  R3 - 9     4.97 0.53 237   3.3518     6.58    cdef    
##  R2 - 10    5.00 0.53 237   3.3851     6.61    cdef    
##  SC2        5.29 0.53 237   3.6740     6.90     defg   
##  R3 - 7     5.47 0.53 237   3.8518     7.08     defg   
##  SC3        5.64 0.53 237   4.0295     7.26      efg   
##  R3 - 10    5.77 0.53 237   4.1518     7.38      efg   
##  SC4        5.80 0.53 237   4.1851     7.41      efg   
##  R3 - 4     6.83 0.53 237   5.2184     8.45       fgh  
##  R1 - 20    6.93 0.53 237   5.3184     8.55       fgh  
##  R2 - 15    7.93 0.53 237   6.3184     9.55        gh  
##  R1 - 1     9.33 0.53 237   7.7185    10.95         h  
## 
## Environment = E6:
##  Genotype emmean   SE  df lower.CL upper.CL .group     
##  R2 - 15    1.53 0.53 237  -0.0816     3.15  a         
##  R3 - 4     2.10 0.53 237   0.4851     3.71  ab        
##  R3 - 7     2.20 0.53 237   0.5851     3.81  ab        
##  R1 - 1     2.40 0.53 237   0.7851     4.01  abc       
##  SC3        2.73 0.53 237   1.1184     4.35  abcd      
##  SC4        3.00 0.53 237   1.3851     4.61  abcd      
##  R3 - 14    3.20 0.53 237   1.5851     4.81  abcde     
##  R4 - 8     3.47 0.53 237   1.8518     5.08  abcdef    
##  R4 - 1     4.10 0.53 237   2.4851     5.71  abcdef    
##  SC1        4.30 0.53 237   2.6851     5.91   bcdef    
##  R3 - 17    4.90 0.53 237   3.2851     6.51    cdef    
##  R4 - 14    4.93 0.53 237   3.3184     6.55    cdef    
##  R3 - 1     5.33 0.53 237   3.7184     6.95     def    
##  SC2        5.67 0.53 237   4.0518     7.28      ef    
##  R1 - 20    5.83 0.53 237   4.2184     7.45      efg   
##  R3 - 9     5.92 0.53 237   4.3018     7.53       fg   
##  R2 - 10    8.40 0.53 237   6.7851    10.01        gh  
##  R4 - 6     9.63 0.53 237   8.0185    11.25         hi 
##  R3 - 10   11.43 0.53 237   9.8185    13.05          i 
##  R3 - 19   15.07 0.53 237  13.4518    16.68           j
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## Conf-level adjustment: sidak method for 20 estimates 
## P value adjustment: tukey method for comparing a family of 20 estimates 
## significance level used: alpha = 0.05 
## NOTE: If two or more means share the same grouping symbol,
##       then we cannot show them to be different.
##       But we also did not show them to be the same.

================================================================

22. GRAFIK INTERAKSI GENOTYPE x ENVIRONMENT

================================================================

emmip(
  model_yield,
  Environment ~ Genotype,
  CIs = TRUE
)

# Alternatif tampilan
emmip(
  model_yield,
  Genotype ~ Environment,
  CIs = TRUE
)

================================================================

23. RATA-RATA OBSERVASI UNTUK GRAFIK

================================================================

mean_GE <- aggregate(
  Yield ~ Genotype + Environment,
  data = data,
  FUN = mean
)

mean_GE
##     Genotype Environment     Yield
## 1     R1 - 1          E1  4.233333
## 2    R1 - 20          E1  4.233333
## 3    R2 - 10          E1  8.900000
## 4    R2 - 15          E1  7.266667
## 5     R3 - 1          E1  7.066667
## 6    R3 - 10          E1  6.866667
## 7    R3 - 14          E1  3.800000
## 8    R3 - 17          E1  6.022222
## 9    R3 - 19          E1  5.433333
## 10    R3 - 4          E1  5.711111
## 11    R3 - 7          E1  3.666667
## 12    R3 - 9          E1  4.866667
## 13    R4 - 1          E1  7.600000
## 14   R4 - 14          E1  3.266667
## 15    R4 - 6          E1  7.300000
## 16    R4 - 8          E1  8.800000
## 17       SC1          E1  6.800000
## 18       SC2          E1  2.733333
## 19       SC3          E1  4.600000
## 20       SC4          E1  5.633333
## 21    R1 - 1          E2  4.366689
## 22   R1 - 20          E2  5.266693
## 23   R2 - 10          E2  4.333355
## 24   R2 - 15          E2  2.433346
## 25    R3 - 1          E2  3.466684
## 26   R3 - 10          E2  6.533366
## 27   R3 - 14          E2  5.000025
## 28   R3 - 17          E2  4.233354
## 29   R3 - 19          E2  2.766681
## 30    R3 - 4          E2  6.400032
## 31    R3 - 7          E2  7.066702
## 32    R3 - 9          E2  4.766691
## 33    R4 - 1          E2  7.266703
## 34   R4 - 14          E2  6.050030
## 35    R4 - 6          E2  6.400032
## 36    R4 - 8          E2  5.033359
## 37       SC1          E2  4.133354
## 38       SC2          E2  5.200026
## 39       SC3          E2  5.133359
## 40       SC4          E2  2.966681
## 41    R1 - 1          E3  6.333365
## 42   R1 - 20          E3  8.200041
## 43   R2 - 10          E3  6.066697
## 44   R2 - 15          E3  6.833368
## 45    R3 - 1          E3  8.666710
## 46   R3 - 10          E3  7.766706
## 47   R3 - 14          E3  4.166688
## 48   R3 - 17          E3  7.066702
## 49   R3 - 19          E3  5.133359
## 50    R3 - 4          E3  4.200021
## 51    R3 - 7          E3 10.600053
## 52    R3 - 9          E3  6.444477
## 53    R4 - 1          E3  6.566700
## 54   R4 - 14          E3  8.911156
## 55    R4 - 6          E3  5.066692
## 56    R4 - 8          E3  2.533346
## 57       SC1          E3  3.700019
## 58       SC2          E3  4.466689
## 59       SC3          E3  5.866696
## 60       SC4          E3  5.833362
## 61    R1 - 1          E4  8.033333
## 62   R1 - 20          E4  1.566667
## 63   R2 - 10          E4 15.333333
## 64   R2 - 15          E4  6.766667
## 65    R3 - 1          E4  7.000000
## 66   R3 - 10          E4 13.400000
## 67   R3 - 14          E4  2.733333
## 68   R3 - 17          E4  8.066667
## 69   R3 - 19          E4  5.400000
## 70    R3 - 4          E4  4.133333
## 71    R3 - 7          E4 10.466667
## 72    R3 - 9          E4  7.416667
## 73    R4 - 1          E4 14.000000
## 74   R4 - 14          E4  7.433333
## 75    R4 - 6          E4  3.066667
## 76    R4 - 8          E4  7.716667
## 77       SC1          E4 11.066667
## 78       SC2          E4  8.366667
## 79       SC3          E4  5.700000
## 80       SC4          E4  3.800000
## 81    R1 - 1          E5  9.333380
## 82   R1 - 20          E5  6.933368
## 83   R2 - 10          E5  5.000025
## 84   R2 - 15          E5  7.933373
## 85    R3 - 1          E5  2.633347
## 86   R3 - 10          E5  5.766695
## 87   R3 - 14          E5  4.866691
## 88   R3 - 17          E5  3.366684
## 89   R3 - 19          E5  3.633351
## 90    R3 - 4          E5  6.833367
## 91    R3 - 7          E5  5.466694
## 92    R3 - 9          E5  4.966691
## 93    R4 - 1          E5  2.433346
## 94   R4 - 14          E5  2.933348
## 95    R4 - 6          E5  2.311123
## 96    R4 - 8          E5  2.100010
## 97       SC1          E5  4.800024
## 98       SC2          E5  5.288915
## 99       SC3          E5  5.644473
## 100      SC4          E5  5.800029
## 101   R1 - 1          E6  2.400012
## 102  R1 - 20          E6  5.833362
## 103  R2 - 10          E6  8.400042
## 104  R2 - 15          E6  1.533341
## 105   R3 - 1          E6  5.333360
## 106  R3 - 10          E6 11.433390
## 107  R3 - 14          E6  3.200016
## 108  R3 - 17          E6  4.900024
## 109  R3 - 19          E6 15.066742
## 110   R3 - 4          E6  2.100010
## 111   R3 - 7          E6  2.200011
## 112   R3 - 9          E6  5.916696
## 113   R4 - 1          E6  4.100021
## 114  R4 - 14          E6  4.933358
## 115   R4 - 6          E6  9.633382
## 116   R4 - 8          E6  3.466684
## 117      SC1          E6  4.300021
## 118      SC2          E6  5.666695
## 119      SC3          E6  2.733347
## 120      SC4          E6  3.000015

================================================================

24. MODEL UNTUK BIOMASS

================================================================

Analisis tambahan jika Biomass juga ingin dianalisis

================================================================

model_biomass <- lmer(
  Biomass ~ Genotype * Environment +
    (1 | Environment:Replications),
  data = data,
  REML = TRUE
)


# Ringkasan
summary(model_biomass)
## Linear mixed model fit by REML. t-tests use Satterthwaite's method [
## lmerModLmerTest]
## Formula: Biomass ~ Genotype * Environment + (1 | Environment:Replications)
##    Data: data
## 
## REML criterion at convergence: 3081.2
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -2.9173 -0.3683  0.0200  0.3334  2.4094 
## 
## Random effects:
##  Groups                   Name        Variance Std.Dev.
##  Environment:Replications (Intercept)   918.7   30.31  
##  Residual                             12150.9  110.23  
## Number of obs: 360, groups:  Environment:Replications, 18
## 
## Fixed effects:
##                               Estimate Std. Error       df t value Pr(>|t|)    
## (Intercept)                    929.667     66.004  219.402  14.085  < 2e-16 ***
## GenotypeR1 - 20                -56.333     90.003  228.000  -0.626 0.532005    
## GenotypeR2 - 10                596.833     90.003  228.000   6.631 2.38e-10 ***
## GenotypeR2 - 15               -289.833     90.003  228.000  -3.220 0.001468 ** 
## GenotypeR3 - 1                 233.333     90.003  228.000   2.592 0.010144 *  
## GenotypeR3 - 10                -50.000     90.003  228.000  -0.556 0.579074    
## GenotypeR3 - 14                503.667     90.003  228.000   5.596 6.26e-08 ***
## GenotypeR3 - 17                139.000     90.003  228.000   1.544 0.123882    
## GenotypeR3 - 19                -65.333     90.003  228.000  -0.726 0.468645    
## GenotypeR3 - 4                 223.167     90.003  228.000   2.480 0.013879 *  
## GenotypeR3 - 7                  69.583     90.003  228.000   0.773 0.440253    
## GenotypeR3 - 9                 -65.833     90.003  228.000  -0.731 0.465253    
## GenotypeR4 - 1                 575.333     90.003  228.000   6.392 9.12e-10 ***
## GenotypeR4 - 14               -192.317     90.003  228.000  -2.137 0.033682 *  
## GenotypeR4 - 6                 150.833     90.003  228.000   1.676 0.095136 .  
## GenotypeR4 - 8                 581.833     90.003  228.000   6.465 6.10e-10 ***
## GenotypeSC1                    339.667     90.003  228.000   3.774 0.000205 ***
## GenotypeSC2                    341.583     90.003  228.000   3.795 0.000189 ***
## GenotypeSC3                    385.333     90.003  228.000   4.281 2.74e-05 ***
## GenotypeSC4                    215.500     90.003  228.000   2.394 0.017459 *  
## EnvironmentE2                 -167.500     93.344  219.402  -1.794 0.074120 .  
## EnvironmentE3                 -334.250     93.344  219.402  -3.581 0.000422 ***
## EnvironmentE4                 -234.667     93.344  219.402  -2.514 0.012655 *  
## EnvironmentE5                 -650.667     93.344  219.402  -6.971 3.65e-11 ***
## EnvironmentE6                 -788.667     93.344  219.402  -8.449 4.07e-15 ***
## GenotypeR1 - 20:EnvironmentE2  101.917    127.284  228.000   0.801 0.424137    
## GenotypeR2 - 10:EnvironmentE2 -168.850    127.284  228.000  -1.327 0.185981    
## GenotypeR2 - 15:EnvironmentE2  169.667    127.284  228.000   1.333 0.183870    
## GenotypeR3 - 1:EnvironmentE2  -302.667    127.284  228.000  -2.378 0.018238 *  
## GenotypeR3 - 10:EnvironmentE2  205.083    127.284  228.000   1.611 0.108514    
## GenotypeR3 - 14:EnvironmentE2 -728.833    127.284  228.000  -5.726 3.22e-08 ***
## GenotypeR3 - 17:EnvironmentE2 -358.167    127.284  228.000  -2.814 0.005322 ** 
## GenotypeR3 - 19:EnvironmentE2  356.167    127.284  228.000   2.798 0.005578 ** 
## GenotypeR3 - 4:EnvironmentE2   -56.000    127.284  228.000  -0.440 0.660382    
## GenotypeR3 - 7:EnvironmentE2    76.417    127.284  228.000   0.600 0.548860    
## GenotypeR3 - 9:EnvironmentE2   243.917    127.284  228.000   1.916 0.056575 .  
## GenotypeR4 - 1:EnvironmentE2    -8.000    127.284  228.000  -0.063 0.949940    
## GenotypeR4 - 14:EnvironmentE2  286.150    127.284  228.000   2.248 0.025525 *  
## GenotypeR4 - 6:EnvironmentE2  -299.333    127.284  228.000  -2.352 0.019540 *  
## GenotypeR4 - 8:EnvironmentE2  -533.850    127.284  228.000  -4.194 3.92e-05 ***
## GenotypeSC1:EnvironmentE2     -310.167    127.284  228.000  -2.437 0.015584 *  
## GenotypeSC2:EnvironmentE2     -576.583    127.284  228.000  -4.530 9.52e-06 ***
## GenotypeSC3:EnvironmentE2     -367.000    127.284  228.000  -2.883 0.004312 ** 
## GenotypeSC4:EnvironmentE2     -356.000    127.284  228.000  -2.797 0.005600 ** 
## GenotypeR1 - 20:EnvironmentE3  285.917    127.284  228.000   2.246 0.025644 *  
## GenotypeR2 - 10:EnvironmentE3 -525.250    127.284  228.000  -4.127 5.16e-05 ***
## GenotypeR2 - 15:EnvironmentE3  701.917    127.284  228.000   5.515 9.44e-08 ***
## GenotypeR3 - 1:EnvironmentE3   115.250    127.284  228.000   0.905 0.366180    
## GenotypeR3 - 10:EnvironmentE3  406.583    127.284  228.000   3.194 0.001600 ** 
## GenotypeR3 - 14:EnvironmentE3 -267.333    127.284  228.000  -2.100 0.036802 *  
## GenotypeR3 - 17:EnvironmentE3  192.167    127.284  228.000   1.510 0.132492    
## GenotypeR3 - 19:EnvironmentE3  243.750    127.284  228.000   1.915 0.056743 .  
## GenotypeR3 - 4:EnvironmentE3   112.667    127.284  228.000   0.885 0.377003    
## GenotypeR3 - 7:EnvironmentE3   348.667    127.284  228.000   2.739 0.006644 ** 
## GenotypeR3 - 9:EnvironmentE3   241.083    127.284  228.000   1.894 0.059483 .  
## GenotypeR4 - 1:EnvironmentE3  -621.417    127.284  228.000  -4.882 1.97e-06 ***
## GenotypeR4 - 14:EnvironmentE3  615.233    127.284  228.000   4.834 2.46e-06 ***
## GenotypeR4 - 6:EnvironmentE3  -284.750    127.284  228.000  -2.237 0.026246 *  
## GenotypeR4 - 8:EnvironmentE3  -343.250    127.284  228.000  -2.697 0.007525 ** 
## GenotypeSC1:EnvironmentE3     -156.417    127.284  228.000  -1.229 0.220384    
## GenotypeSC2:EnvironmentE3     -282.667    127.284  228.000  -2.221 0.027351 *  
## GenotypeSC3:EnvironmentE3      105.750    127.284  228.000   0.831 0.406945    
## GenotypeSC4:EnvironmentE3       10.583    127.284  228.000   0.083 0.933807    
## GenotypeR1 - 20:EnvironmentE4 -408.667    127.284  228.000  -3.211 0.001515 ** 
## GenotypeR2 - 10:EnvironmentE4 -690.833    127.284  228.000  -5.427 1.46e-07 ***
## GenotypeR2 - 15:EnvironmentE4  508.833    127.284  228.000   3.998 8.64e-05 ***
## GenotypeR3 - 1:EnvironmentE4  -114.583    127.284  228.000  -0.900 0.368954    
## GenotypeR3 - 10:EnvironmentE4 -444.500    127.284  228.000  -3.492 0.000575 ***
## GenotypeR3 - 14:EnvironmentE4 -792.667    127.284  228.000  -6.228 2.26e-09 ***
## GenotypeR3 - 17:EnvironmentE4 -594.000    127.284  228.000  -4.667 5.22e-06 ***
## GenotypeR3 - 19:EnvironmentE4 -298.667    127.284  228.000  -2.346 0.019810 *  
## GenotypeR3 - 4:EnvironmentE4  -363.500    127.284  228.000  -2.856 0.004689 ** 
## GenotypeR3 - 7:EnvironmentE4  -367.583    127.284  228.000  -2.888 0.004251 ** 
## GenotypeR3 - 9:EnvironmentE4  -282.667    127.284  228.000  -2.221 0.027351 *  
## GenotypeR4 - 1:EnvironmentE4  -585.333    127.284  228.000  -4.599 7.05e-06 ***
## GenotypeR4 - 14:EnvironmentE4  -61.850    127.284  228.000  -0.486 0.627490    
## GenotypeR4 - 6:EnvironmentE4  -555.833    127.284  228.000  -4.367 1.91e-05 ***
## GenotypeR4 - 8:EnvironmentE4  -769.833    127.284  228.000  -6.048 5.94e-09 ***
## GenotypeSC1:EnvironmentE4     -550.667    127.284  228.000  -4.326 2.27e-05 ***
## GenotypeSC2:EnvironmentE4     -617.583    127.284  228.000  -4.852 2.27e-06 ***
## GenotypeSC3:EnvironmentE4     -547.833    127.284  228.000  -4.304 2.49e-05 ***
## GenotypeSC4:EnvironmentE4      -58.333    127.284  228.000  -0.458 0.647179    
## GenotypeR1 - 20:EnvironmentE5  222.833    127.284  228.000   1.751 0.081346 .  
## GenotypeR2 - 10:EnvironmentE5 -618.833    127.284  228.000  -4.862 2.17e-06 ***
## GenotypeR2 - 15:EnvironmentE5  554.833    127.284  228.000   4.359 1.98e-05 ***
## GenotypeR3 - 1:EnvironmentE5  -145.167    127.284  228.000  -1.140 0.255277    
## GenotypeR3 - 10:EnvironmentE5   -6.000    127.284  228.000  -0.047 0.962444    
## GenotypeR3 - 14:EnvironmentE5 -424.167    127.284  228.000  -3.332 0.001004 ** 
## GenotypeR3 - 17:EnvironmentE5   25.500    127.284  228.000   0.200 0.841394    
## GenotypeR3 - 19:EnvironmentE5  -69.167    127.284  228.000  -0.543 0.587382    
## GenotypeR3 - 4:EnvironmentE5   -31.917    127.284  228.000  -0.251 0.802232    
## GenotypeR3 - 7:EnvironmentE5   223.917    127.284  228.000   1.759 0.079887 .  
## GenotypeR3 - 9:EnvironmentE5   228.833    127.284  228.000   1.798 0.073529 .  
## GenotypeR4 - 1:EnvironmentE5  -258.833    127.284  228.000  -2.034 0.043159 *  
## GenotypeR4 - 14:EnvironmentE5  151.817    127.284  228.000   1.193 0.234211    
## GenotypeR4 - 6:EnvironmentE5     9.167    127.284  228.000   0.072 0.942651    
## GenotypeR4 - 8:EnvironmentE5  -705.667    127.284  228.000  -5.544 8.15e-08 ***
## GenotypeSC1:EnvironmentE5     -182.667    127.284  228.000  -1.435 0.152626    
## GenotypeSC2:EnvironmentE5     -345.583    127.284  228.000  -2.715 0.007134 ** 
## GenotypeSC3:EnvironmentE5     -356.333    127.284  228.000  -2.800 0.005557 ** 
## GenotypeSC4:EnvironmentE5      -24.333    127.284  228.000  -0.191 0.848560    
## GenotypeR1 - 20:EnvironmentE6  372.083    127.284  228.000   2.923 0.003813 ** 
## GenotypeR2 - 10:EnvironmentE6  -63.833    127.284  228.000  -0.502 0.616501    
## GenotypeR2 - 15:EnvironmentE6  356.333    127.284  228.000   2.800 0.005557 ** 
## GenotypeR3 - 1:EnvironmentE6   -48.833    127.284  228.000  -0.384 0.701591    
## GenotypeR3 - 10:EnvironmentE6  476.833    127.284  228.000   3.746 0.000227 ***
## GenotypeR3 - 14:EnvironmentE6 -404.833    127.284  228.000  -3.181 0.001674 ** 
## GenotypeR3 - 17:EnvironmentE6   27.833    127.284  228.000   0.219 0.827102    
## GenotypeR3 - 19:EnvironmentE6  750.833    127.284  228.000   5.899 1.31e-08 ***
## GenotypeR3 - 4:EnvironmentE6   315.833    127.284  228.000   2.481 0.013812 *  
## GenotypeR3 - 7:EnvironmentE6   -95.583    127.284  228.000  -0.751 0.453460    
## GenotypeR3 - 9:EnvironmentE6   174.833    127.284  228.000   1.374 0.170925    
## GenotypeR4 - 1:EnvironmentE6  -429.333    127.284  228.000  -3.373 0.000873 ***
## GenotypeR4 - 14:EnvironmentE6  242.817    127.284  228.000   1.908 0.057690 .  
## GenotypeR4 - 6:EnvironmentE6   229.667    127.284  228.000   1.804 0.072494 .  
## GenotypeR4 - 8:EnvironmentE6  -361.083    127.284  228.000  -2.837 0.004967 ** 
## GenotypeSC1:EnvironmentE6     -298.667    127.284  228.000  -2.346 0.019810 *  
## GenotypeSC2:EnvironmentE6     -377.583    127.284  228.000  -2.966 0.003333 ** 
## GenotypeSC3:EnvironmentE6     -387.333    127.284  228.000  -3.043 0.002616 ** 
## GenotypeSC4:EnvironmentE6     -210.500    127.284  228.000  -1.654 0.099548 .  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Correlation matrix not shown by default, as p = 120 > 12.
## Use print(x, correlation=TRUE)  or
##     vcov(x)        if you need it
# Uji fixed effect
anova(model_biomass)
## Type III Analysis of Variance Table with Satterthwaite's method
##                        Sum Sq Mean Sq NumDF DenDF  F value    Pr(>F)    
## Genotype              2259939  118944    19   228   9.7889 < 2.2e-16 ***
## Environment          11154242 2230848     5    12 183.5951 6.656e-11 ***
## Genotype:Environment 12141752  127808    95   228  10.5184 < 2.2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
# Random effect
VarCorr(model_biomass)
##  Groups                   Name        Std.Dev.
##  Environment:Replications (Intercept)  30.31  
##  Residual                             110.23
# Singularity
isSingular(model_biomass)
## [1] FALSE

================================================================

25. EMMEANS BIOMASS

================================================================

emm_biomass <- emmeans(
  model_biomass,
  ~ Genotype | Environment
)

emm_biomass
## Environment = E1:
##  Genotype emmean SE  df lower.CL upper.CL
##  R1 - 1      930 66 219   799.58     1060
##  R1 - 20     873 66 219   743.25     1003
##  R2 - 10    1526 66 219  1396.42     1657
##  R2 - 15     640 66 219   509.75      770
##  R3 - 1     1163 66 219  1032.92     1293
##  R3 - 10     880 66 219   749.58     1010
##  R3 - 14    1433 66 219  1303.25     1563
##  R3 - 17    1069 66 219   938.58     1199
##  R3 - 19     864 66 219   734.25      994
##  R3 - 4     1153 66 219  1022.75     1283
##  R3 - 7      999 66 219   869.17     1129
##  R3 - 9      864 66 219   733.75      994
##  R4 - 1     1505 66 219  1374.92     1635
##  R4 - 14     737 66 219   607.27      867
##  R4 - 6     1080 66 219   950.42     1211
##  R4 - 8     1512 66 219  1381.42     1642
##  SC1        1269 66 219  1139.25     1399
##  SC2        1271 66 219  1141.17     1401
##  SC3        1315 66 219  1184.92     1445
##  SC4        1145 66 219  1015.08     1275
## 
## Environment = E2:
##  Genotype emmean SE  df lower.CL upper.CL
##  R1 - 1      762 66 219   632.08      892
##  R1 - 20     808 66 219   677.67      938
##  R2 - 10    1190 66 219  1060.07     1320
##  R2 - 15     642 66 219   511.92      772
##  R3 - 1      693 66 219   562.75      823
##  R3 - 10     917 66 219   787.17     1047
##  R3 - 14     537 66 219   406.92      667
##  R3 - 17     543 66 219   412.92      673
##  R3 - 19    1053 66 219   922.92     1183
##  R3 - 4      929 66 219   799.25     1059
##  R3 - 7      908 66 219   778.08     1038
##  R3 - 9      940 66 219   810.17     1070
##  R4 - 1     1330 66 219  1199.42     1460
##  R4 - 14     856 66 219   725.92      986
##  R4 - 6      614 66 219   483.58      744
##  R4 - 8      810 66 219   680.07      940
##  SC1         792 66 219   661.58      922
##  SC2         527 66 219   397.08      657
##  SC3         780 66 219   650.42      911
##  SC4         622 66 219   491.58      752
## 
## Environment = E3:
##  Genotype emmean SE  df lower.CL upper.CL
##  R1 - 1      595 66 219   465.33      725
##  R1 - 20     825 66 219   694.92      955
##  R2 - 10     667 66 219   536.92      797
##  R2 - 15    1008 66 219   877.42     1138
##  R3 - 1      944 66 219   813.92     1074
##  R3 - 10     952 66 219   821.92     1082
##  R3 - 14     832 66 219   701.67      962
##  R3 - 17     927 66 219   796.50     1057
##  R3 - 19     774 66 219   643.75      904
##  R3 - 4      931 66 219   801.17     1061
##  R3 - 7     1014 66 219   883.58     1144
##  R3 - 9      771 66 219   640.58      901
##  R4 - 1      549 66 219   419.25      679
##  R4 - 14    1018 66 219   888.25     1148
##  R4 - 6      462 66 219   331.42      592
##  R4 - 8      834 66 219   703.92      964
##  SC1         779 66 219   648.58      909
##  SC2         654 66 219   524.25      784
##  SC3        1086 66 219   956.42     1217
##  SC4         822 66 219   691.42      952
## 
## Environment = E4:
##  Genotype emmean SE  df lower.CL upper.CL
##  R1 - 1      695 66 219   564.92      825
##  R1 - 20     230 66 219    99.92      360
##  R2 - 10     601 66 219   470.92      731
##  R2 - 15     914 66 219   783.92     1044
##  R3 - 1      814 66 219   683.67      944
##  R3 - 10     200 66 219    70.42      331
##  R3 - 14     406 66 219   275.92      536
##  R3 - 17     240 66 219   109.92      370
##  R3 - 19     331 66 219   200.92      461
##  R3 - 4      555 66 219   424.58      685
##  R3 - 7      397 66 219   266.92      527
##  R3 - 9      346 66 219   216.42      477
##  R4 - 1      685 66 219   554.92      815
##  R4 - 14     441 66 219   310.75      571
##  R4 - 6      290 66 219   159.92      420
##  R4 - 8      507 66 219   376.92      637
##  SC1         484 66 219   353.92      614
##  SC2         419 66 219   288.92      549
##  SC3         532 66 219   402.42      663
##  SC4         852 66 219   722.08      982
## 
## Environment = E5:
##  Genotype emmean SE  df lower.CL upper.CL
##  R1 - 1      279 66 219   148.92      409
##  R1 - 20     446 66 219   315.42      576
##  R2 - 10     257 66 219   126.92      387
##  R2 - 15     544 66 219   413.92      674
##  R3 - 1      367 66 219   237.08      497
##  R3 - 10     223 66 219    92.92      353
##  R3 - 14     358 66 219   228.42      489
##  R3 - 17     444 66 219   313.42      574
##  R3 - 19     144 66 219    14.42      275
##  R3 - 4      470 66 219   340.17      600
##  R3 - 7      572 66 219   442.42      703
##  R3 - 9      442 66 219   311.92      572
##  R4 - 1      596 66 219   465.42      726
##  R4 - 14     238 66 219   108.42      369
##  R4 - 6      439 66 219   308.92      569
##  R4 - 8      155 66 219    25.08      285
##  SC1         436 66 219   305.92      566
##  SC2         275 66 219   144.92      405
##  SC3         308 66 219   177.92      438
##  SC4         470 66 219   340.08      600
## 
## Environment = E6:
##  Genotype emmean SE  df lower.CL upper.CL
##  R1 - 1      141 66 219    10.92      271
##  R1 - 20     457 66 219   326.67      587
##  R2 - 10     674 66 219   543.92      804
##  R2 - 15     208 66 219    77.42      338
##  R3 - 1      326 66 219   195.42      456
##  R3 - 10     568 66 219   437.75      698
##  R3 - 14     240 66 219   109.75      370
##  R3 - 17     308 66 219   177.75      438
##  R3 - 19     826 66 219   696.42      957
##  R3 - 4      680 66 219   549.92      810
##  R3 - 7      115 66 219   -15.08      245
##  R3 - 9      250 66 219   119.92      380
##  R4 - 1      287 66 219   156.92      417
##  R4 - 14     192 66 219    61.42      322
##  R4 - 6      522 66 219   391.42      652
##  R4 - 8      362 66 219   231.67      492
##  SC1         182 66 219    51.92      312
##  SC2         105 66 219   -25.08      235
##  SC3         139 66 219     8.92      269
##  SC4         146 66 219    15.92      276
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95

================================================================

26. POST-HOC BIOMASS

================================================================

pairs(
  emm_biomass,
  adjust = "tukey"
)
## Environment = E1:
##  contrast               estimate SE  df t.ratio p.value
##  (R1 - 1) - (R1 - 20)    56.3333 90 228   0.626  1.0000
##  (R1 - 1) - (R2 - 10)  -596.8333 90 228  -6.631 <0.0001
##  (R1 - 1) - (R2 - 15)   289.8333 90 228   3.220  0.1420
##  (R1 - 1) - (R3 - 1)   -233.3333 90 228  -2.592  0.5142
##  (R1 - 1) - (R3 - 10)    50.0000 90 228   0.556  1.0000
##  (R1 - 1) - (R3 - 14)  -503.6667 90 228  -5.596 <0.0001
##  (R1 - 1) - (R3 - 17)  -139.0000 90 228  -1.544  0.9922
##  (R1 - 1) - (R3 - 19)    65.3333 90 228   0.726  1.0000
##  (R1 - 1) - (R3 - 4)   -223.1667 90 228  -2.480  0.6008
##  (R1 - 1) - (R3 - 7)    -69.5833 90 228  -0.773  1.0000
##  (R1 - 1) - (R3 - 9)     65.8333 90 228   0.731  1.0000
##  (R1 - 1) - (R4 - 1)   -575.3333 90 228  -6.392 <0.0001
##  (R1 - 1) - (R4 - 14)   192.3167 90 228   2.137  0.8340
##  (R1 - 1) - (R4 - 6)   -150.8333 90 228  -1.676  0.9807
##  (R1 - 1) - (R4 - 8)   -581.8333 90 228  -6.465 <0.0001
##  (R1 - 1) - SC1        -339.6667 90 228  -3.774  0.0273
##  (R1 - 1) - SC2        -341.5833 90 228  -3.795  0.0254
##  (R1 - 1) - SC3        -385.3333 90 228  -4.281  0.0043
##  (R1 - 1) - SC4        -215.5000 90 228  -2.394  0.6650
##  (R1 - 20) - (R2 - 10) -653.1667 90 228  -7.257 <0.0001
##  (R1 - 20) - (R2 - 15)  233.5000 90 228   2.594  0.5128
##  (R1 - 20) - (R3 - 1)  -289.6667 90 228  -3.218  0.1426
##  (R1 - 20) - (R3 - 10)   -6.3333 90 228  -0.070  1.0000
##  (R1 - 20) - (R3 - 14) -560.0000 90 228  -6.222 <0.0001
##  (R1 - 20) - (R3 - 17) -195.3333 90 228  -2.170  0.8151
##  (R1 - 20) - (R3 - 19)    9.0000 90 228   0.100  1.0000
##  (R1 - 20) - (R3 - 4)  -279.5000 90 228  -3.105  0.1889
##  (R1 - 20) - (R3 - 7)  -125.9167 90 228  -1.399  0.9977
##  (R1 - 20) - (R3 - 9)     9.5000 90 228   0.106  1.0000
##  (R1 - 20) - (R4 - 1)  -631.6667 90 228  -7.018 <0.0001
##  (R1 - 20) - (R4 - 14)  135.9833 90 228   1.511  0.9940
##  (R1 - 20) - (R4 - 6)  -207.1667 90 228  -2.302  0.7313
##  (R1 - 20) - (R4 - 8)  -638.1667 90 228  -7.090 <0.0001
##  (R1 - 20) - SC1       -396.0000 90 228  -4.400  0.0027
##  (R1 - 20) - SC2       -397.9167 90 228  -4.421  0.0025
##  (R1 - 20) - SC3       -441.6667 90 228  -4.907  0.0003
##  (R1 - 20) - SC4       -271.8333 90 228  -3.020  0.2303
##  (R2 - 10) - (R2 - 15)  886.6667 90 228   9.851 <0.0001
##  (R2 - 10) - (R3 - 1)   363.5000 90 228   4.039  0.0108
##  (R2 - 10) - (R3 - 10)  646.8333 90 228   7.187 <0.0001
##  (R2 - 10) - (R3 - 14)   93.1667 90 228   1.035  1.0000
##  (R2 - 10) - (R3 - 17)  457.8333 90 228   5.087  0.0001
##  (R2 - 10) - (R3 - 19)  662.1667 90 228   7.357 <0.0001
##  (R2 - 10) - (R3 - 4)   373.6667 90 228   4.152  0.0071
##  (R2 - 10) - (R3 - 7)   527.2500 90 228   5.858 <0.0001
##  (R2 - 10) - (R3 - 9)   662.6667 90 228   7.363 <0.0001
##  (R2 - 10) - (R4 - 1)    21.5000 90 228   0.239  1.0000
##  (R2 - 10) - (R4 - 14)  789.1500 90 228   8.768 <0.0001
##  (R2 - 10) - (R4 - 6)   446.0000 90 228   4.955  0.0002
##  (R2 - 10) - (R4 - 8)    15.0000 90 228   0.167  1.0000
##  (R2 - 10) - SC1        257.1667 90 228   2.857  0.3252
##  (R2 - 10) - SC2        255.2500 90 228   2.836  0.3390
##  (R2 - 10) - SC3        211.5000 90 228   2.350  0.6974
##  (R2 - 10) - SC4        381.3333 90 228   4.237  0.0051
##  (R2 - 15) - (R3 - 1)  -523.1667 90 228  -5.813 <0.0001
##  (R2 - 15) - (R3 - 10) -239.8333 90 228  -2.665  0.4597
##  (R2 - 15) - (R3 - 14) -793.5000 90 228  -8.816 <0.0001
##  (R2 - 15) - (R3 - 17) -428.8333 90 228  -4.765  0.0006
##  (R2 - 15) - (R3 - 19) -224.5000 90 228  -2.494  0.5895
##  (R2 - 15) - (R3 - 4)  -513.0000 90 228  -5.700 <0.0001
##  (R2 - 15) - (R3 - 7)  -359.4167 90 228  -3.993  0.0127
##  (R2 - 15) - (R3 - 9)  -224.0000 90 228  -2.489  0.5937
##  (R2 - 15) - (R4 - 1)  -865.1667 90 228  -9.613 <0.0001
##  (R2 - 15) - (R4 - 14)  -97.5167 90 228  -1.083  0.9999
##  (R2 - 15) - (R4 - 6)  -440.6667 90 228  -4.896  0.0003
##  (R2 - 15) - (R4 - 8)  -871.6667 90 228  -9.685 <0.0001
##  (R2 - 15) - SC1       -629.5000 90 228  -6.994 <0.0001
##  (R2 - 15) - SC2       -631.4167 90 228  -7.015 <0.0001
##  (R2 - 15) - SC3       -675.1667 90 228  -7.502 <0.0001
##  (R2 - 15) - SC4       -505.3333 90 228  -5.615 <0.0001
##  (R3 - 1) - (R3 - 10)   283.3333 90 228   3.148  0.1703
##  (R3 - 1) - (R3 - 14)  -270.3333 90 228  -3.004  0.2391
##  (R3 - 1) - (R3 - 17)    94.3333 90 228   1.048  1.0000
##  (R3 - 1) - (R3 - 19)   298.6667 90 228   3.318  0.1094
##  (R3 - 1) - (R3 - 4)     10.1667 90 228   0.113  1.0000
##  (R3 - 1) - (R3 - 7)    163.7500 90 228   1.819  0.9561
##  (R3 - 1) - (R3 - 9)    299.1667 90 228   3.324  0.1077
##  (R3 - 1) - (R4 - 1)   -342.0000 90 228  -3.800  0.0250
##  (R3 - 1) - (R4 - 14)   425.6500 90 228   4.729  0.0007
##  (R3 - 1) - (R4 - 6)     82.5000 90 228   0.917  1.0000
##  (R3 - 1) - (R4 - 8)   -348.5000 90 228  -3.872  0.0195
##  (R3 - 1) - SC1        -106.3333 90 228  -1.181  0.9998
##  (R3 - 1) - SC2        -108.2500 90 228  -1.203  0.9997
##  (R3 - 1) - SC3        -152.0000 90 228  -1.689  0.9791
##  (R3 - 1) - SC4          17.8333 90 228   0.198  1.0000
##  (R3 - 10) - (R3 - 14) -553.6667 90 228  -6.152 <0.0001
##  (R3 - 10) - (R3 - 17) -189.0000 90 228  -2.100  0.8535
##  (R3 - 10) - (R3 - 19)   15.3333 90 228   0.170  1.0000
##  (R3 - 10) - (R3 - 4)  -273.1667 90 228  -3.035  0.2227
##  (R3 - 10) - (R3 - 7)  -119.5833 90 228  -1.329  0.9988
##  (R3 - 10) - (R3 - 9)    15.8333 90 228   0.176  1.0000
##  (R3 - 10) - (R4 - 1)  -625.3333 90 228  -6.948 <0.0001
##  (R3 - 10) - (R4 - 14)  142.3167 90 228   1.581  0.9898
##  (R3 - 10) - (R4 - 6)  -200.8333 90 228  -2.231  0.7779
##  (R3 - 10) - (R4 - 8)  -631.8333 90 228  -7.020 <0.0001
##  (R3 - 10) - SC1       -389.6667 90 228  -4.329  0.0036
##  (R3 - 10) - SC2       -391.5833 90 228  -4.351  0.0033
##  (R3 - 10) - SC3       -435.3333 90 228  -4.837  0.0004
##  (R3 - 10) - SC4       -265.5000 90 228  -2.950  0.2688
##  (R3 - 14) - (R3 - 17)  364.6667 90 228   4.052  0.0103
##  (R3 - 14) - (R3 - 19)  569.0000 90 228   6.322 <0.0001
##  (R3 - 14) - (R3 - 4)   280.5000 90 228   3.117  0.1839
##  (R3 - 14) - (R3 - 7)   434.0833 90 228   4.823  0.0004
##  (R3 - 14) - (R3 - 9)   569.5000 90 228   6.328 <0.0001
##  (R3 - 14) - (R4 - 1)   -71.6667 90 228  -0.796  1.0000
##  (R3 - 14) - (R4 - 14)  695.9833 90 228   7.733 <0.0001
##  (R3 - 14) - (R4 - 6)   352.8333 90 228   3.920  0.0165
##  (R3 - 14) - (R4 - 8)   -78.1667 90 228  -0.868  1.0000
##  (R3 - 14) - SC1        164.0000 90 228   1.822  0.9555
##  (R3 - 14) - SC2        162.0833 90 228   1.801  0.9602
##  (R3 - 14) - SC3        118.3333 90 228   1.315  0.9990
##  (R3 - 14) - SC4        288.1667 90 228   3.202  0.1489
##  (R3 - 17) - (R3 - 19)  204.3333 90 228   2.270  0.7526
##  (R3 - 17) - (R3 - 4)   -84.1667 90 228  -0.935  1.0000
##  (R3 - 17) - (R3 - 7)    69.4167 90 228   0.771  1.0000
##  (R3 - 17) - (R3 - 9)   204.8333 90 228   2.276  0.7489
##  (R3 - 17) - (R4 - 1)  -436.3333 90 228  -4.848  0.0004
##  (R3 - 17) - (R4 - 14)  331.3167 90 228   3.681  0.0370
##  (R3 - 17) - (R4 - 6)   -11.8333 90 228  -0.131  1.0000
##  (R3 - 17) - (R4 - 8)  -442.8333 90 228  -4.920  0.0003
##  (R3 - 17) - SC1       -200.6667 90 228  -2.230  0.7791
##  (R3 - 17) - SC2       -202.5833 90 228  -2.251  0.7654
##  (R3 - 17) - SC3       -246.3333 90 228  -2.737  0.4069
##  (R3 - 17) - SC4        -76.5000 90 228  -0.850  1.0000
##  (R3 - 19) - (R3 - 4)  -288.5000 90 228  -3.205  0.1475
##  (R3 - 19) - (R3 - 7)  -134.9167 90 228  -1.499  0.9945
##  (R3 - 19) - (R3 - 9)     0.5000 90 228   0.006  1.0000
##  (R3 - 19) - (R4 - 1)  -640.6667 90 228  -7.118 <0.0001
##  (R3 - 19) - (R4 - 14)  126.9833 90 228   1.411  0.9974
##  (R3 - 19) - (R4 - 6)  -216.1667 90 228  -2.402  0.6595
##  (R3 - 19) - (R4 - 8)  -647.1667 90 228  -7.190 <0.0001
##  (R3 - 19) - SC1       -405.0000 90 228  -4.500  0.0018
##  (R3 - 19) - SC2       -406.9167 90 228  -4.521  0.0016
##  (R3 - 19) - SC3       -450.6667 90 228  -5.007  0.0002
##  (R3 - 19) - SC4       -280.8333 90 228  -3.120  0.1823
##  (R3 - 4) - (R3 - 7)    153.5833 90 228   1.706  0.9767
##  (R3 - 4) - (R3 - 9)    289.0000 90 228   3.211  0.1454
##  (R3 - 4) - (R4 - 1)   -352.1667 90 228  -3.913  0.0169
##  (R3 - 4) - (R4 - 14)   415.4833 90 228   4.616  0.0011
##  (R3 - 4) - (R4 - 6)     72.3333 90 228   0.804  1.0000
##  (R3 - 4) - (R4 - 8)   -358.6667 90 228  -3.985  0.0131
##  (R3 - 4) - SC1        -116.5000 90 228  -1.294  0.9992
##  (R3 - 4) - SC2        -118.4167 90 228  -1.316  0.9990
##  (R3 - 4) - SC3        -162.1667 90 228  -1.802  0.9600
##  (R3 - 4) - SC4           7.6667 90 228   0.085  1.0000
##  (R3 - 7) - (R3 - 9)    135.4167 90 228   1.505  0.9943
##  (R3 - 7) - (R4 - 1)   -505.7500 90 228  -5.619 <0.0001
##  (R3 - 7) - (R4 - 14)   261.9000 90 228   2.910  0.2924
##  (R3 - 7) - (R4 - 6)    -81.2500 90 228  -0.903  1.0000
##  (R3 - 7) - (R4 - 8)   -512.2500 90 228  -5.691 <0.0001
##  (R3 - 7) - SC1        -270.0833 90 228  -3.001  0.2406
##  (R3 - 7) - SC2        -272.0000 90 228  -3.022  0.2294
##  (R3 - 7) - SC3        -315.7500 90 228  -3.508  0.0635
##  (R3 - 7) - SC4        -145.9167 90 228  -1.621  0.9865
##  (R3 - 9) - (R4 - 1)   -641.1667 90 228  -7.124 <0.0001
##  (R3 - 9) - (R4 - 14)   126.4833 90 228   1.405  0.9975
##  (R3 - 9) - (R4 - 6)   -216.6667 90 228  -2.407  0.6554
##  (R3 - 9) - (R4 - 8)   -647.6667 90 228  -7.196 <0.0001
##  (R3 - 9) - SC1        -405.5000 90 228  -4.505  0.0017
##  (R3 - 9) - SC2        -407.4167 90 228  -4.527  0.0016
##  (R3 - 9) - SC3        -451.1667 90 228  -5.013  0.0002
##  (R3 - 9) - SC4        -281.3333 90 228  -3.126  0.1799
##  (R4 - 1) - (R4 - 14)   767.6500 90 228   8.529 <0.0001
##  (R4 - 1) - (R4 - 6)    424.5000 90 228   4.716  0.0007
##  (R4 - 1) - (R4 - 8)     -6.5000 90 228  -0.072  1.0000
##  (R4 - 1) - SC1         235.6667 90 228   2.618  0.4945
##  (R4 - 1) - SC2         233.7500 90 228   2.597  0.5107
##  (R4 - 1) - SC3         190.0000 90 228   2.111  0.8478
##  (R4 - 1) - SC4         359.8333 90 228   3.998  0.0125
##  (R4 - 14) - (R4 - 6)  -343.1500 90 228  -3.813  0.0239
##  (R4 - 14) - (R4 - 8)  -774.1500 90 228  -8.601 <0.0001
##  (R4 - 14) - SC1       -531.9833 90 228  -5.911 <0.0001
##  (R4 - 14) - SC2       -533.9000 90 228  -5.932 <0.0001
##  (R4 - 14) - SC3       -577.6500 90 228  -6.418 <0.0001
##  (R4 - 14) - SC4       -407.8167 90 228  -4.531  0.0016
##  (R4 - 6) - (R4 - 8)   -431.0000 90 228  -4.789  0.0005
##  (R4 - 6) - SC1        -188.8333 90 228  -2.098  0.8545
##  (R4 - 6) - SC2        -190.7500 90 228  -2.119  0.8434
##  (R4 - 6) - SC3        -234.5000 90 228  -2.605  0.5043
##  (R4 - 6) - SC4         -64.6667 90 228  -0.718  1.0000
##  (R4 - 8) - SC1         242.1667 90 228   2.691  0.4405
##  (R4 - 8) - SC2         240.2500 90 228   2.669  0.4562
##  (R4 - 8) - SC3         196.5000 90 228   2.183  0.8075
##  (R4 - 8) - SC4         366.3333 90 228   4.070  0.0096
##  SC1 - SC2               -1.9167 90 228  -0.021  1.0000
##  SC1 - SC3              -45.6667 90 228  -0.507  1.0000
##  SC1 - SC4              124.1667 90 228   1.380  0.9980
##  SC2 - SC3              -43.7500 90 228  -0.486  1.0000
##  SC2 - SC4              126.0833 90 228   1.401  0.9976
##  SC3 - SC4              169.8333 90 228   1.887  0.9386
## 
## Environment = E2:
##  contrast               estimate SE  df t.ratio p.value
##  (R1 - 1) - (R1 - 20)   -45.5833 90 228  -0.506  1.0000
##  (R1 - 1) - (R2 - 10)  -427.9833 90 228  -4.755  0.0006
##  (R1 - 1) - (R2 - 15)   120.1667 90 228   1.335  0.9987
##  (R1 - 1) - (R3 - 1)     69.3333 90 228   0.770  1.0000
##  (R1 - 1) - (R3 - 10)  -155.0833 90 228  -1.723  0.9743
##  (R1 - 1) - (R3 - 14)   225.1667 90 228   2.502  0.5838
##  (R1 - 1) - (R3 - 17)   219.1667 90 228   2.435  0.6346
##  (R1 - 1) - (R3 - 19)  -290.8333 90 228  -3.231  0.1379
##  (R1 - 1) - (R3 - 4)   -167.1667 90 228  -1.857  0.9468
##  (R1 - 1) - (R3 - 7)   -146.0000 90 228  -1.622  0.9864
##  (R1 - 1) - (R3 - 9)   -178.0833 90 228  -1.979  0.9078
##  (R1 - 1) - (R4 - 1)   -567.3333 90 228  -6.303 <0.0001
##  (R1 - 1) - (R4 - 14)   -93.8333 90 228  -1.043  1.0000
##  (R1 - 1) - (R4 - 6)    148.5000 90 228   1.650  0.9837
##  (R1 - 1) - (R4 - 8)    -47.9833 90 228  -0.533  1.0000
##  (R1 - 1) - SC1         -29.5000 90 228  -0.328  1.0000
##  (R1 - 1) - SC2         235.0000 90 228   2.611  0.5001
##  (R1 - 1) - SC3         -18.3333 90 228  -0.204  1.0000
##  (R1 - 1) - SC4         140.5000 90 228   1.561  0.9912
##  (R1 - 20) - (R2 - 10) -382.4000 90 228  -4.249  0.0049
##  (R1 - 20) - (R2 - 15)  165.7500 90 228   1.842  0.9508
##  (R1 - 20) - (R3 - 1)   114.9167 90 228   1.277  0.9993
##  (R1 - 20) - (R3 - 10) -109.5000 90 228  -1.217  0.9996
##  (R1 - 20) - (R3 - 14)  270.7500 90 228   3.008  0.2367
##  (R1 - 20) - (R3 - 17)  264.7500 90 228   2.942  0.2736
##  (R1 - 20) - (R3 - 19) -245.2500 90 228  -2.725  0.4156
##  (R1 - 20) - (R3 - 4)  -121.5833 90 228  -1.351  0.9985
##  (R1 - 20) - (R3 - 7)  -100.4167 90 228  -1.116  0.9999
##  (R1 - 20) - (R3 - 9)  -132.5000 90 228  -1.472  0.9956
##  (R1 - 20) - (R4 - 1)  -521.7500 90 228  -5.797 <0.0001
##  (R1 - 20) - (R4 - 14)  -48.2500 90 228  -0.536  1.0000
##  (R1 - 20) - (R4 - 6)   194.0833 90 228   2.156  0.8231
##  (R1 - 20) - (R4 - 8)    -2.4000 90 228  -0.027  1.0000
##  (R1 - 20) - SC1         16.0833 90 228   0.179  1.0000
##  (R1 - 20) - SC2        280.5833 90 228   3.117  0.1835
##  (R1 - 20) - SC3         27.2500 90 228   0.303  1.0000
##  (R1 - 20) - SC4        186.0833 90 228   2.068  0.8696
##  (R2 - 10) - (R2 - 15)  548.1500 90 228   6.090 <0.0001
##  (R2 - 10) - (R3 - 1)   497.3167 90 228   5.526 <0.0001
##  (R2 - 10) - (R3 - 10)  272.9000 90 228   3.032  0.2242
##  (R2 - 10) - (R3 - 14)  653.1500 90 228   7.257 <0.0001
##  (R2 - 10) - (R3 - 17)  647.1500 90 228   7.190 <0.0001
##  (R2 - 10) - (R3 - 19)  137.1500 90 228   1.524  0.9933
##  (R2 - 10) - (R3 - 4)   260.8167 90 228   2.898  0.2997
##  (R2 - 10) - (R3 - 7)   281.9833 90 228   3.133  0.1767
##  (R2 - 10) - (R3 - 9)   249.9000 90 228   2.777  0.3791
##  (R2 - 10) - (R4 - 1)  -139.3500 90 228  -1.548  0.9920
##  (R2 - 10) - (R4 - 14)  334.1500 90 228   3.713  0.0334
##  (R2 - 10) - (R4 - 6)   576.4833 90 228   6.405 <0.0001
##  (R2 - 10) - (R4 - 8)   380.0000 90 228   4.222  0.0054
##  (R2 - 10) - SC1        398.4833 90 228   4.427  0.0024
##  (R2 - 10) - SC2        662.9833 90 228   7.366 <0.0001
##  (R2 - 10) - SC3        409.6500 90 228   4.551  0.0014
##  (R2 - 10) - SC4        568.4833 90 228   6.316 <0.0001
##  (R2 - 15) - (R3 - 1)   -50.8333 90 228  -0.565  1.0000
##  (R2 - 15) - (R3 - 10) -275.2500 90 228  -3.058  0.2112
##  (R2 - 15) - (R3 - 14)  105.0000 90 228   1.167  0.9998
##  (R2 - 15) - (R3 - 17)   99.0000 90 228   1.100  0.9999
##  (R2 - 15) - (R3 - 19) -411.0000 90 228  -4.566  0.0013
##  (R2 - 15) - (R3 - 4)  -287.3333 90 228  -3.192  0.1524
##  (R2 - 15) - (R3 - 7)  -266.1667 90 228  -2.957  0.2646
##  (R2 - 15) - (R3 - 9)  -298.2500 90 228  -3.314  0.1108
##  (R2 - 15) - (R4 - 1)  -687.5000 90 228  -7.639 <0.0001
##  (R2 - 15) - (R4 - 14) -214.0000 90 228  -2.378  0.6772
##  (R2 - 15) - (R4 - 6)    28.3333 90 228   0.315  1.0000
##  (R2 - 15) - (R4 - 8)  -168.1500 90 228  -1.868  0.9439
##  (R2 - 15) - SC1       -149.6667 90 228  -1.663  0.9823
##  (R2 - 15) - SC2        114.8333 90 228   1.276  0.9993
##  (R2 - 15) - SC3       -138.5000 90 228  -1.539  0.9925
##  (R2 - 15) - SC4         20.3333 90 228   0.226  1.0000
##  (R3 - 1) - (R3 - 10)  -224.4167 90 228  -2.493  0.5902
##  (R3 - 1) - (R3 - 14)   155.8333 90 228   1.731  0.9730
##  (R3 - 1) - (R3 - 17)   149.8333 90 228   1.665  0.9821
##  (R3 - 1) - (R3 - 19)  -360.1667 90 228  -4.002  0.0123
##  (R3 - 1) - (R3 - 4)   -236.5000 90 228  -2.628  0.4875
##  (R3 - 1) - (R3 - 7)   -215.3333 90 228  -2.393  0.6664
##  (R3 - 1) - (R3 - 9)   -247.4167 90 228  -2.749  0.3984
##  (R3 - 1) - (R4 - 1)   -636.6667 90 228  -7.074 <0.0001
##  (R3 - 1) - (R4 - 14)  -163.1667 90 228  -1.813  0.9576
##  (R3 - 1) - (R4 - 6)     79.1667 90 228   0.880  1.0000
##  (R3 - 1) - (R4 - 8)   -117.3167 90 228  -1.303  0.9991
##  (R3 - 1) - SC1         -98.8333 90 228  -1.098  0.9999
##  (R3 - 1) - SC2         165.6667 90 228   1.841  0.9511
##  (R3 - 1) - SC3         -87.6667 90 228  -0.974  1.0000
##  (R3 - 1) - SC4          71.1667 90 228   0.791  1.0000
##  (R3 - 10) - (R3 - 14)  380.2500 90 228   4.225  0.0053
##  (R3 - 10) - (R3 - 17)  374.2500 90 228   4.158  0.0069
##  (R3 - 10) - (R3 - 19) -135.7500 90 228  -1.508  0.9941
##  (R3 - 10) - (R3 - 4)   -12.0833 90 228  -0.134  1.0000
##  (R3 - 10) - (R3 - 7)     9.0833 90 228   0.101  1.0000
##  (R3 - 10) - (R3 - 9)   -23.0000 90 228  -0.256  1.0000
##  (R3 - 10) - (R4 - 1)  -412.2500 90 228  -4.580  0.0013
##  (R3 - 10) - (R4 - 14)   61.2500 90 228   0.681  1.0000
##  (R3 - 10) - (R4 - 6)   303.5833 90 228   3.373  0.0940
##  (R3 - 10) - (R4 - 8)   107.1000 90 228   1.190  0.9997
##  (R3 - 10) - SC1        125.5833 90 228   1.395  0.9977
##  (R3 - 10) - SC2        390.0833 90 228   4.334  0.0035
##  (R3 - 10) - SC3        136.7500 90 228   1.519  0.9936
##  (R3 - 10) - SC4        295.5833 90 228   3.284  0.1200
##  (R3 - 14) - (R3 - 17)   -6.0000 90 228  -0.067  1.0000
##  (R3 - 14) - (R3 - 19) -516.0000 90 228  -5.733 <0.0001
##  (R3 - 14) - (R3 - 4)  -392.3333 90 228  -4.359  0.0032
##  (R3 - 14) - (R3 - 7)  -371.1667 90 228  -4.124  0.0079
##  (R3 - 14) - (R3 - 9)  -403.2500 90 228  -4.480  0.0019
##  (R3 - 14) - (R4 - 1)  -792.5000 90 228  -8.805 <0.0001
##  (R3 - 14) - (R4 - 14) -319.0000 90 228  -3.544  0.0569
##  (R3 - 14) - (R4 - 6)   -76.6667 90 228  -0.852  1.0000
##  (R3 - 14) - (R4 - 8)  -273.1500 90 228  -3.035  0.2228
##  (R3 - 14) - SC1       -254.6667 90 228  -2.830  0.3432
##  (R3 - 14) - SC2          9.8333 90 228   0.109  1.0000
##  (R3 - 14) - SC3       -243.5000 90 228  -2.705  0.4297
##  (R3 - 14) - SC4        -84.6667 90 228  -0.941  1.0000
##  (R3 - 17) - (R3 - 19) -510.0000 90 228  -5.666 <0.0001
##  (R3 - 17) - (R3 - 4)  -386.3333 90 228  -4.292  0.0041
##  (R3 - 17) - (R3 - 7)  -365.1667 90 228  -4.057  0.0101
##  (R3 - 17) - (R3 - 9)  -397.2500 90 228  -4.414  0.0025
##  (R3 - 17) - (R4 - 1)  -786.5000 90 228  -8.739 <0.0001
##  (R3 - 17) - (R4 - 14) -313.0000 90 228  -3.478  0.0695
##  (R3 - 17) - (R4 - 6)   -70.6667 90 228  -0.785  1.0000
##  (R3 - 17) - (R4 - 8)  -267.1500 90 228  -2.968  0.2584
##  (R3 - 17) - SC1       -248.6667 90 228  -2.763  0.3886
##  (R3 - 17) - SC2         15.8333 90 228   0.176  1.0000
##  (R3 - 17) - SC3       -237.5000 90 228  -2.639  0.4791
##  (R3 - 17) - SC4        -78.6667 90 228  -0.874  1.0000
##  (R3 - 19) - (R3 - 4)   123.6667 90 228   1.374  0.9981
##  (R3 - 19) - (R3 - 7)   144.8333 90 228   1.609  0.9876
##  (R3 - 19) - (R3 - 9)   112.7500 90 228   1.253  0.9995
##  (R3 - 19) - (R4 - 1)  -276.5000 90 228  -3.072  0.2045
##  (R3 - 19) - (R4 - 14)  197.0000 90 228   2.189  0.8042
##  (R3 - 19) - (R4 - 6)   439.3333 90 228   4.881  0.0003
##  (R3 - 19) - (R4 - 8)   242.8500 90 228   2.698  0.4349
##  (R3 - 19) - SC1        261.3333 90 228   2.904  0.2962
##  (R3 - 19) - SC2        525.8333 90 228   5.842 <0.0001
##  (R3 - 19) - SC3        272.5000 90 228   3.028  0.2265
##  (R3 - 19) - SC4        431.3333 90 228   4.792  0.0005
##  (R3 - 4) - (R3 - 7)     21.1667 90 228   0.235  1.0000
##  (R3 - 4) - (R3 - 9)    -10.9167 90 228  -0.121  1.0000
##  (R3 - 4) - (R4 - 1)   -400.1667 90 228  -4.446  0.0022
##  (R3 - 4) - (R4 - 14)    73.3333 90 228   0.815  1.0000
##  (R3 - 4) - (R4 - 6)    315.6667 90 228   3.507  0.0636
##  (R3 - 4) - (R4 - 8)    119.1833 90 228   1.324  0.9989
##  (R3 - 4) - SC1         137.6667 90 228   1.530  0.9930
##  (R3 - 4) - SC2         402.1667 90 228   4.468  0.0020
##  (R3 - 4) - SC3         148.8333 90 228   1.654  0.9833
##  (R3 - 4) - SC4         307.6667 90 228   3.418  0.0826
##  (R3 - 7) - (R3 - 9)    -32.0833 90 228  -0.356  1.0000
##  (R3 - 7) - (R4 - 1)   -421.3333 90 228  -4.681  0.0008
##  (R3 - 7) - (R4 - 14)    52.1667 90 228   0.580  1.0000
##  (R3 - 7) - (R4 - 6)    294.5000 90 228   3.272  0.1239
##  (R3 - 7) - (R4 - 8)     98.0167 90 228   1.089  0.9999
##  (R3 - 7) - SC1         116.5000 90 228   1.294  0.9992
##  (R3 - 7) - SC2         381.0000 90 228   4.233  0.0052
##  (R3 - 7) - SC3         127.6667 90 228   1.418  0.9972
##  (R3 - 7) - SC4         286.5000 90 228   3.183  0.1560
##  (R3 - 9) - (R4 - 1)   -389.2500 90 228  -4.325  0.0036
##  (R3 - 9) - (R4 - 14)    84.2500 90 228   0.936  1.0000
##  (R3 - 9) - (R4 - 6)    326.5833 90 228   3.629  0.0438
##  (R3 - 9) - (R4 - 8)    130.1000 90 228   1.446  0.9965
##  (R3 - 9) - SC1         148.5833 90 228   1.651  0.9836
##  (R3 - 9) - SC2         413.0833 90 228   4.590  0.0012
##  (R3 - 9) - SC3         159.7500 90 228   1.775  0.9654
##  (R3 - 9) - SC4         318.5833 90 228   3.540  0.0577
##  (R4 - 1) - (R4 - 14)   473.5000 90 228   5.261 <0.0001
##  (R4 - 1) - (R4 - 6)    715.8333 90 228   7.953 <0.0001
##  (R4 - 1) - (R4 - 8)    519.3500 90 228   5.770 <0.0001
##  (R4 - 1) - SC1         537.8333 90 228   5.976 <0.0001
##  (R4 - 1) - SC2         802.3333 90 228   8.914 <0.0001
##  (R4 - 1) - SC3         549.0000 90 228   6.100 <0.0001
##  (R4 - 1) - SC4         707.8333 90 228   7.865 <0.0001
##  (R4 - 14) - (R4 - 6)   242.3333 90 228   2.692  0.4391
##  (R4 - 14) - (R4 - 8)    45.8500 90 228   0.509  1.0000
##  (R4 - 14) - SC1         64.3333 90 228   0.715  1.0000
##  (R4 - 14) - SC2        328.8333 90 228   3.654  0.0404
##  (R4 - 14) - SC3         75.5000 90 228   0.839  1.0000
##  (R4 - 14) - SC4        234.3333 90 228   2.604  0.5057
##  (R4 - 6) - (R4 - 8)   -196.4833 90 228  -2.183  0.8076
##  (R4 - 6) - SC1        -178.0000 90 228  -1.978  0.9082
##  (R4 - 6) - SC2          86.5000 90 228   0.961  1.0000
##  (R4 - 6) - SC3        -166.8333 90 228  -1.854  0.9478
##  (R4 - 6) - SC4          -8.0000 90 228  -0.089  1.0000
##  (R4 - 8) - SC1          18.4833 90 228   0.205  1.0000
##  (R4 - 8) - SC2         282.9833 90 228   3.144  0.1720
##  (R4 - 8) - SC3          29.6500 90 228   0.329  1.0000
##  (R4 - 8) - SC4         188.4833 90 228   2.094  0.8565
##  SC1 - SC2              264.5000 90 228   2.939  0.2753
##  SC1 - SC3               11.1667 90 228   0.124  1.0000
##  SC1 - SC4              170.0000 90 228   1.889  0.9381
##  SC2 - SC3             -253.3333 90 228  -2.815  0.3531
##  SC2 - SC4              -94.5000 90 228  -1.050  1.0000
##  SC3 - SC4              158.8333 90 228   1.765  0.9673
## 
## Environment = E3:
##  contrast               estimate SE  df t.ratio p.value
##  (R1 - 1) - (R1 - 20)  -229.5833 90 228  -2.551  0.5461
##  (R1 - 1) - (R2 - 10)   -71.5833 90 228  -0.795  1.0000
##  (R1 - 1) - (R2 - 15)  -412.0833 90 228  -4.579  0.0013
##  (R1 - 1) - (R3 - 1)   -348.5833 90 228  -3.873  0.0194
##  (R1 - 1) - (R3 - 10)  -356.5833 90 228  -3.962  0.0142
##  (R1 - 1) - (R3 - 14)  -236.3333 90 228  -2.626  0.4889
##  (R1 - 1) - (R3 - 17)  -331.1667 90 228  -3.679  0.0372
##  (R1 - 1) - (R3 - 19)  -178.4167 90 228  -1.982  0.9064
##  (R1 - 1) - (R3 - 4)   -335.8333 90 228  -3.731  0.0314
##  (R1 - 1) - (R3 - 7)   -418.2500 90 228  -4.647  0.0010
##  (R1 - 1) - (R3 - 9)   -175.2500 90 228  -1.947  0.9194
##  (R1 - 1) - (R4 - 1)     46.0833 90 228   0.512  1.0000
##  (R1 - 1) - (R4 - 14)  -422.9167 90 228  -4.699  0.0008
##  (R1 - 1) - (R4 - 6)    133.9167 90 228   1.488  0.9950
##  (R1 - 1) - (R4 - 8)   -238.5833 90 228  -2.651  0.4701
##  (R1 - 1) - SC1        -183.2500 90 228  -2.036  0.8841
##  (R1 - 1) - SC2         -58.9167 90 228  -0.655  1.0000
##  (R1 - 1) - SC3        -491.0833 90 228  -5.456 <0.0001
##  (R1 - 1) - SC4        -226.0833 90 228  -2.512  0.5760
##  (R1 - 20) - (R2 - 10)  158.0000 90 228   1.755  0.9690
##  (R1 - 20) - (R2 - 15) -182.5000 90 228  -2.028  0.8877
##  (R1 - 20) - (R3 - 1)  -119.0000 90 228  -1.322  0.9989
##  (R1 - 20) - (R3 - 10) -127.0000 90 228  -1.411  0.9974
##  (R1 - 20) - (R3 - 14)   -6.7500 90 228  -0.075  1.0000
##  (R1 - 20) - (R3 - 17) -101.5833 90 228  -1.129  0.9999
##  (R1 - 20) - (R3 - 19)   51.1667 90 228   0.568  1.0000
##  (R1 - 20) - (R3 - 4)  -106.2500 90 228  -1.181  0.9998
##  (R1 - 20) - (R3 - 7)  -188.6667 90 228  -2.096  0.8554
##  (R1 - 20) - (R3 - 9)    54.3333 90 228   0.604  1.0000
##  (R1 - 20) - (R4 - 1)   275.6667 90 228   3.063  0.2089
##  (R1 - 20) - (R4 - 14) -193.3333 90 228  -2.148  0.8278
##  (R1 - 20) - (R4 - 6)   363.5000 90 228   4.039  0.0108
##  (R1 - 20) - (R4 - 8)    -9.0000 90 228  -0.100  1.0000
##  (R1 - 20) - SC1         46.3333 90 228   0.515  1.0000
##  (R1 - 20) - SC2        170.6667 90 228   1.896  0.9359
##  (R1 - 20) - SC3       -261.5000 90 228  -2.905  0.2951
##  (R1 - 20) - SC4          3.5000 90 228   0.039  1.0000
##  (R2 - 10) - (R2 - 15) -340.5000 90 228  -3.783  0.0264
##  (R2 - 10) - (R3 - 1)  -277.0000 90 228  -3.078  0.2018
##  (R2 - 10) - (R3 - 10) -285.0000 90 228  -3.167  0.1627
##  (R2 - 10) - (R3 - 14) -164.7500 90 228  -1.830  0.9535
##  (R2 - 10) - (R3 - 17) -259.5833 90 228  -2.884  0.3082
##  (R2 - 10) - (R3 - 19) -106.8333 90 228  -1.187  0.9997
##  (R2 - 10) - (R3 - 4)  -264.2500 90 228  -2.936  0.2769
##  (R2 - 10) - (R3 - 7)  -346.6667 90 228  -3.852  0.0209
##  (R2 - 10) - (R3 - 9)  -103.6667 90 228  -1.152  0.9998
##  (R2 - 10) - (R4 - 1)   117.6667 90 228   1.307  0.9990
##  (R2 - 10) - (R4 - 14) -351.3333 90 228  -3.904  0.0175
##  (R2 - 10) - (R4 - 6)   205.5000 90 228   2.283  0.7439
##  (R2 - 10) - (R4 - 8)  -167.0000 90 228  -1.855  0.9473
##  (R2 - 10) - SC1       -111.6667 90 228  -1.241  0.9995
##  (R2 - 10) - SC2         12.6667 90 228   0.141  1.0000
##  (R2 - 10) - SC3       -419.5000 90 228  -4.661  0.0009
##  (R2 - 10) - SC4       -154.5000 90 228  -1.717  0.9753
##  (R2 - 15) - (R3 - 1)    63.5000 90 228   0.706  1.0000
##  (R2 - 15) - (R3 - 10)   55.5000 90 228   0.617  1.0000
##  (R2 - 15) - (R3 - 14)  175.7500 90 228   1.953  0.9174
##  (R2 - 15) - (R3 - 17)   80.9167 90 228   0.899  1.0000
##  (R2 - 15) - (R3 - 19)  233.6667 90 228   2.596  0.5114
##  (R2 - 15) - (R3 - 4)    76.2500 90 228   0.847  1.0000
##  (R2 - 15) - (R3 - 7)    -6.1667 90 228  -0.069  1.0000
##  (R2 - 15) - (R3 - 9)   236.8333 90 228   2.631  0.4847
##  (R2 - 15) - (R4 - 1)   458.1667 90 228   5.091  0.0001
##  (R2 - 15) - (R4 - 14)  -10.8333 90 228  -0.120  1.0000
##  (R2 - 15) - (R4 - 6)   546.0000 90 228   6.066 <0.0001
##  (R2 - 15) - (R4 - 8)   173.5000 90 228   1.928  0.9260
##  (R2 - 15) - SC1        228.8333 90 228   2.542  0.5525
##  (R2 - 15) - SC2        353.1667 90 228   3.924  0.0163
##  (R2 - 15) - SC3        -79.0000 90 228  -0.878  1.0000
##  (R2 - 15) - SC4        186.0000 90 228   2.067  0.8700
##  (R3 - 1) - (R3 - 10)    -8.0000 90 228  -0.089  1.0000
##  (R3 - 1) - (R3 - 14)   112.2500 90 228   1.247  0.9995
##  (R3 - 1) - (R3 - 17)    17.4167 90 228   0.194  1.0000
##  (R3 - 1) - (R3 - 19)   170.1667 90 228   1.891  0.9376
##  (R3 - 1) - (R3 - 4)     12.7500 90 228   0.142  1.0000
##  (R3 - 1) - (R3 - 7)    -69.6667 90 228  -0.774  1.0000
##  (R3 - 1) - (R3 - 9)    173.3333 90 228   1.926  0.9266
##  (R3 - 1) - (R4 - 1)    394.6667 90 228   4.385  0.0028
##  (R3 - 1) - (R4 - 14)   -74.3333 90 228  -0.826  1.0000
##  (R3 - 1) - (R4 - 6)    482.5000 90 228   5.361 <0.0001
##  (R3 - 1) - (R4 - 8)    110.0000 90 228   1.222  0.9996
##  (R3 - 1) - SC1         165.3333 90 228   1.837  0.9520
##  (R3 - 1) - SC2         289.6667 90 228   3.218  0.1426
##  (R3 - 1) - SC3        -142.5000 90 228  -1.583  0.9897
##  (R3 - 1) - SC4         122.5000 90 228   1.361  0.9984
##  (R3 - 10) - (R3 - 14)  120.2500 90 228   1.336  0.9987
##  (R3 - 10) - (R3 - 17)   25.4167 90 228   0.282  1.0000
##  (R3 - 10) - (R3 - 19)  178.1667 90 228   1.980  0.9075
##  (R3 - 10) - (R3 - 4)    20.7500 90 228   0.231  1.0000
##  (R3 - 10) - (R3 - 7)   -61.6667 90 228  -0.685  1.0000
##  (R3 - 10) - (R3 - 9)   181.3333 90 228   2.015  0.8933
##  (R3 - 10) - (R4 - 1)   402.6667 90 228   4.474  0.0020
##  (R3 - 10) - (R4 - 14)  -66.3333 90 228  -0.737  1.0000
##  (R3 - 10) - (R4 - 6)   490.5000 90 228   5.450 <0.0001
##  (R3 - 10) - (R4 - 8)   118.0000 90 228   1.311  0.9990
##  (R3 - 10) - SC1        173.3333 90 228   1.926  0.9266
##  (R3 - 10) - SC2        297.6667 90 228   3.307  0.1127
##  (R3 - 10) - SC3       -134.5000 90 228  -1.494  0.9947
##  (R3 - 10) - SC4        130.5000 90 228   1.450  0.9963
##  (R3 - 14) - (R3 - 17)  -94.8333 90 228  -1.054  1.0000
##  (R3 - 14) - (R3 - 19)   57.9167 90 228   0.643  1.0000
##  (R3 - 14) - (R3 - 4)   -99.5000 90 228  -1.106  0.9999
##  (R3 - 14) - (R3 - 7)  -181.9167 90 228  -2.021  0.8905
##  (R3 - 14) - (R3 - 9)    61.0833 90 228   0.679  1.0000
##  (R3 - 14) - (R4 - 1)   282.4167 90 228   3.138  0.1747
##  (R3 - 14) - (R4 - 14) -186.5833 90 228  -2.073  0.8669
##  (R3 - 14) - (R4 - 6)   370.2500 90 228   4.114  0.0082
##  (R3 - 14) - (R4 - 8)    -2.2500 90 228  -0.025  1.0000
##  (R3 - 14) - SC1         53.0833 90 228   0.590  1.0000
##  (R3 - 14) - SC2        177.4167 90 228   1.971  0.9106
##  (R3 - 14) - SC3       -254.7500 90 228  -2.830  0.3426
##  (R3 - 14) - SC4         10.2500 90 228   0.114  1.0000
##  (R3 - 17) - (R3 - 19)  152.7500 90 228   1.697  0.9780
##  (R3 - 17) - (R3 - 4)    -4.6667 90 228  -0.052  1.0000
##  (R3 - 17) - (R3 - 7)   -87.0833 90 228  -0.968  1.0000
##  (R3 - 17) - (R3 - 9)   155.9167 90 228   1.732  0.9729
##  (R3 - 17) - (R4 - 1)   377.2500 90 228   4.192  0.0061
##  (R3 - 17) - (R4 - 14)  -91.7500 90 228  -1.019  1.0000
##  (R3 - 17) - (R4 - 6)   465.0833 90 228   5.167 <0.0001
##  (R3 - 17) - (R4 - 8)    92.5833 90 228   1.029  1.0000
##  (R3 - 17) - SC1        147.9167 90 228   1.643  0.9844
##  (R3 - 17) - SC2        272.2500 90 228   3.025  0.2279
##  (R3 - 17) - SC3       -159.9167 90 228  -1.777  0.9651
##  (R3 - 17) - SC4        105.0833 90 228   1.168  0.9998
##  (R3 - 19) - (R3 - 4)  -157.4167 90 228  -1.749  0.9701
##  (R3 - 19) - (R3 - 7)  -239.8333 90 228  -2.665  0.4597
##  (R3 - 19) - (R3 - 9)     3.1667 90 228   0.035  1.0000
##  (R3 - 19) - (R4 - 1)   224.5000 90 228   2.494  0.5895
##  (R3 - 19) - (R4 - 14) -244.5000 90 228  -2.717  0.4216
##  (R3 - 19) - (R4 - 6)   312.3333 90 228   3.470  0.0711
##  (R3 - 19) - (R4 - 8)   -60.1667 90 228  -0.668  1.0000
##  (R3 - 19) - SC1         -4.8333 90 228  -0.054  1.0000
##  (R3 - 19) - SC2        119.5000 90 228   1.328  0.9988
##  (R3 - 19) - SC3       -312.6667 90 228  -3.474  0.0703
##  (R3 - 19) - SC4        -47.6667 90 228  -0.530  1.0000
##  (R3 - 4) - (R3 - 7)    -82.4167 90 228  -0.916  1.0000
##  (R3 - 4) - (R3 - 9)    160.5833 90 228   1.784  0.9636
##  (R3 - 4) - (R4 - 1)    381.9167 90 228   4.243  0.0050
##  (R3 - 4) - (R4 - 14)   -87.0833 90 228  -0.968  1.0000
##  (R3 - 4) - (R4 - 6)    469.7500 90 228   5.219 <0.0001
##  (R3 - 4) - (R4 - 8)     97.2500 90 228   1.081  0.9999
##  (R3 - 4) - SC1         152.5833 90 228   1.695  0.9783
##  (R3 - 4) - SC2         276.9167 90 228   3.077  0.2023
##  (R3 - 4) - SC3        -155.2500 90 228  -1.725  0.9740
##  (R3 - 4) - SC4         109.7500 90 228   1.219  0.9996
##  (R3 - 7) - (R3 - 9)    243.0000 90 228   2.700  0.4337
##  (R3 - 7) - (R4 - 1)    464.3333 90 228   5.159 <0.0001
##  (R3 - 7) - (R4 - 14)    -4.6667 90 228  -0.052  1.0000
##  (R3 - 7) - (R4 - 6)    552.1667 90 228   6.135 <0.0001
##  (R3 - 7) - (R4 - 8)    179.6667 90 228   1.996  0.9009
##  (R3 - 7) - SC1         235.0000 90 228   2.611  0.5001
##  (R3 - 7) - SC2         359.3333 90 228   3.992  0.0127
##  (R3 - 7) - SC3         -72.8333 90 228  -0.809  1.0000
##  (R3 - 7) - SC4         192.1667 90 228   2.135  0.8349
##  (R3 - 9) - (R4 - 1)    221.3333 90 228   2.459  0.6163
##  (R3 - 9) - (R4 - 14)  -247.6667 90 228  -2.752  0.3964
##  (R3 - 9) - (R4 - 6)    309.1667 90 228   3.435  0.0788
##  (R3 - 9) - (R4 - 8)    -63.3333 90 228  -0.704  1.0000
##  (R3 - 9) - SC1          -8.0000 90 228  -0.089  1.0000
##  (R3 - 9) - SC2         116.3333 90 228   1.293  0.9992
##  (R3 - 9) - SC3        -315.8333 90 228  -3.509  0.0633
##  (R3 - 9) - SC4         -50.8333 90 228  -0.565  1.0000
##  (R4 - 1) - (R4 - 14)  -469.0000 90 228  -5.211 <0.0001
##  (R4 - 1) - (R4 - 6)     87.8333 90 228   0.976  1.0000
##  (R4 - 1) - (R4 - 8)   -284.6667 90 228  -3.163  0.1642
##  (R4 - 1) - SC1        -229.3333 90 228  -2.548  0.5483
##  (R4 - 1) - SC2        -105.0000 90 228  -1.167  0.9998
##  (R4 - 1) - SC3        -537.1667 90 228  -5.968 <0.0001
##  (R4 - 1) - SC4        -272.1667 90 228  -3.024  0.2284
##  (R4 - 14) - (R4 - 6)   556.8333 90 228   6.187 <0.0001
##  (R4 - 14) - (R4 - 8)   184.3333 90 228   2.048  0.8786
##  (R4 - 14) - SC1        239.6667 90 228   2.663  0.4611
##  (R4 - 14) - SC2        364.0000 90 228   4.044  0.0106
##  (R4 - 14) - SC3        -68.1667 90 228  -0.757  1.0000
##  (R4 - 14) - SC4        196.8333 90 228   2.187  0.8053
##  (R4 - 6) - (R4 - 8)   -372.5000 90 228  -4.139  0.0074
##  (R4 - 6) - SC1        -317.1667 90 228  -3.524  0.0605
##  (R4 - 6) - SC2        -192.8333 90 228  -2.143  0.8309
##  (R4 - 6) - SC3        -625.0000 90 228  -6.944 <0.0001
##  (R4 - 6) - SC4        -360.0000 90 228  -4.000  0.0124
##  (R4 - 8) - SC1          55.3333 90 228   0.615  1.0000
##  (R4 - 8) - SC2         179.6667 90 228   1.996  0.9009
##  (R4 - 8) - SC3        -252.5000 90 228  -2.805  0.3593
##  (R4 - 8) - SC4          12.5000 90 228   0.139  1.0000
##  SC1 - SC2              124.3333 90 228   1.381  0.9980
##  SC1 - SC3             -307.8333 90 228  -3.420  0.0822
##  SC1 - SC4              -42.8333 90 228  -0.476  1.0000
##  SC2 - SC3             -432.1667 90 228  -4.802  0.0005
##  SC2 - SC4             -167.1667 90 228  -1.857  0.9468
##  SC3 - SC4              265.0000 90 228   2.944  0.2720
## 
## Environment = E4:
##  contrast               estimate SE  df t.ratio p.value
##  (R1 - 1) - (R1 - 20)   465.0000 90 228   5.166 <0.0001
##  (R1 - 1) - (R2 - 10)    94.0000 90 228   1.044  1.0000
##  (R1 - 1) - (R2 - 15)  -219.0000 90 228  -2.433  0.6360
##  (R1 - 1) - (R3 - 1)   -118.7500 90 228  -1.319  0.9989
##  (R1 - 1) - (R3 - 10)   494.5000 90 228   5.494 <0.0001
##  (R1 - 1) - (R3 - 14)   289.0000 90 228   3.211  0.1454
##  (R1 - 1) - (R3 - 17)   455.0000 90 228   5.055  0.0002
##  (R1 - 1) - (R3 - 19)   364.0000 90 228   4.044  0.0106
##  (R1 - 1) - (R3 - 4)    140.3333 90 228   1.559  0.9913
##  (R1 - 1) - (R3 - 7)    298.0000 90 228   3.311  0.1116
##  (R1 - 1) - (R3 - 9)    348.5000 90 228   3.872  0.0195
##  (R1 - 1) - (R4 - 1)     10.0000 90 228   0.111  1.0000
##  (R1 - 1) - (R4 - 14)   254.1667 90 228   2.824  0.3469
##  (R1 - 1) - (R4 - 6)    405.0000 90 228   4.500  0.0018
##  (R1 - 1) - (R4 - 8)    188.0000 90 228   2.089  0.8591
##  (R1 - 1) - SC1         211.0000 90 228   2.344  0.7014
##  (R1 - 1) - SC2         276.0000 90 228   3.067  0.2071
##  (R1 - 1) - SC3         162.5000 90 228   1.805  0.9592
##  (R1 - 1) - SC4        -157.1667 90 228  -1.746  0.9706
##  (R1 - 20) - (R2 - 10) -371.0000 90 228  -4.122  0.0079
##  (R1 - 20) - (R2 - 15) -684.0000 90 228  -7.600 <0.0001
##  (R1 - 20) - (R3 - 1)  -583.7500 90 228  -6.486 <0.0001
##  (R1 - 20) - (R3 - 10)   29.5000 90 228   0.328  1.0000
##  (R1 - 20) - (R3 - 14) -176.0000 90 228  -1.955  0.9164
##  (R1 - 20) - (R3 - 17)  -10.0000 90 228  -0.111  1.0000
##  (R1 - 20) - (R3 - 19) -101.0000 90 228  -1.122  0.9999
##  (R1 - 20) - (R3 - 4)  -324.6667 90 228  -3.607  0.0468
##  (R1 - 20) - (R3 - 7)  -167.0000 90 228  -1.855  0.9473
##  (R1 - 20) - (R3 - 9)  -116.5000 90 228  -1.294  0.9992
##  (R1 - 20) - (R4 - 1)  -455.0000 90 228  -5.055  0.0002
##  (R1 - 20) - (R4 - 14) -210.8333 90 228  -2.343  0.7027
##  (R1 - 20) - (R4 - 6)   -60.0000 90 228  -0.667  1.0000
##  (R1 - 20) - (R4 - 8)  -277.0000 90 228  -3.078  0.2018
##  (R1 - 20) - SC1       -254.0000 90 228  -2.822  0.3481
##  (R1 - 20) - SC2       -189.0000 90 228  -2.100  0.8535
##  (R1 - 20) - SC3       -302.5000 90 228  -3.361  0.0973
##  (R1 - 20) - SC4       -622.1667 90 228  -6.913 <0.0001
##  (R2 - 10) - (R2 - 15) -313.0000 90 228  -3.478  0.0695
##  (R2 - 10) - (R3 - 1)  -212.7500 90 228  -2.364  0.6874
##  (R2 - 10) - (R3 - 10)  400.5000 90 228   4.450  0.0022
##  (R2 - 10) - (R3 - 14)  195.0000 90 228   2.167  0.8172
##  (R2 - 10) - (R3 - 17)  361.0000 90 228   4.011  0.0119
##  (R2 - 10) - (R3 - 19)  270.0000 90 228   3.000  0.2411
##  (R2 - 10) - (R3 - 4)    46.3333 90 228   0.515  1.0000
##  (R2 - 10) - (R3 - 7)   204.0000 90 228   2.267  0.7551
##  (R2 - 10) - (R3 - 9)   254.5000 90 228   2.828  0.3445
##  (R2 - 10) - (R4 - 1)   -84.0000 90 228  -0.933  1.0000
##  (R2 - 10) - (R4 - 14)  160.1667 90 228   1.780  0.9645
##  (R2 - 10) - (R4 - 6)   311.0000 90 228   3.455  0.0742
##  (R2 - 10) - (R4 - 8)    94.0000 90 228   1.044  1.0000
##  (R2 - 10) - SC1        117.0000 90 228   1.300  0.9991
##  (R2 - 10) - SC2        182.0000 90 228   2.022  0.8901
##  (R2 - 10) - SC3         68.5000 90 228   0.761  1.0000
##  (R2 - 10) - SC4       -251.1667 90 228  -2.791  0.3694
##  (R2 - 15) - (R3 - 1)   100.2500 90 228   1.114  0.9999
##  (R2 - 15) - (R3 - 10)  713.5000 90 228   7.927 <0.0001
##  (R2 - 15) - (R3 - 14)  508.0000 90 228   5.644 <0.0001
##  (R2 - 15) - (R3 - 17)  674.0000 90 228   7.489 <0.0001
##  (R2 - 15) - (R3 - 19)  583.0000 90 228   6.478 <0.0001
##  (R2 - 15) - (R3 - 4)   359.3333 90 228   3.992  0.0127
##  (R2 - 15) - (R3 - 7)   517.0000 90 228   5.744 <0.0001
##  (R2 - 15) - (R3 - 9)   567.5000 90 228   6.305 <0.0001
##  (R2 - 15) - (R4 - 1)   229.0000 90 228   2.544  0.5511
##  (R2 - 15) - (R4 - 14)  473.1667 90 228   5.257 <0.0001
##  (R2 - 15) - (R4 - 6)   624.0000 90 228   6.933 <0.0001
##  (R2 - 15) - (R4 - 8)   407.0000 90 228   4.522  0.0016
##  (R2 - 15) - SC1        430.0000 90 228   4.778  0.0005
##  (R2 - 15) - SC2        495.0000 90 228   5.500 <0.0001
##  (R2 - 15) - SC3        381.5000 90 228   4.239  0.0051
##  (R2 - 15) - SC4         61.8333 90 228   0.687  1.0000
##  (R3 - 1) - (R3 - 10)   613.2500 90 228   6.814 <0.0001
##  (R3 - 1) - (R3 - 14)   407.7500 90 228   4.530  0.0016
##  (R3 - 1) - (R3 - 17)   573.7500 90 228   6.375 <0.0001
##  (R3 - 1) - (R3 - 19)   482.7500 90 228   5.364 <0.0001
##  (R3 - 1) - (R3 - 4)    259.0833 90 228   2.879  0.3117
##  (R3 - 1) - (R3 - 7)    416.7500 90 228   4.630  0.0010
##  (R3 - 1) - (R3 - 9)    467.2500 90 228   5.191 <0.0001
##  (R3 - 1) - (R4 - 1)    128.7500 90 228   1.431  0.9969
##  (R3 - 1) - (R4 - 14)   372.9167 90 228   4.143  0.0073
##  (R3 - 1) - (R4 - 6)    523.7500 90 228   5.819 <0.0001
##  (R3 - 1) - (R4 - 8)    306.7500 90 228   3.408  0.0851
##  (R3 - 1) - SC1         329.7500 90 228   3.664  0.0391
##  (R3 - 1) - SC2         394.7500 90 228   4.386  0.0028
##  (R3 - 1) - SC3         281.2500 90 228   3.125  0.1803
##  (R3 - 1) - SC4         -38.4167 90 228  -0.427  1.0000
##  (R3 - 10) - (R3 - 14) -205.5000 90 228  -2.283  0.7439
##  (R3 - 10) - (R3 - 17)  -39.5000 90 228  -0.439  1.0000
##  (R3 - 10) - (R3 - 19) -130.5000 90 228  -1.450  0.9963
##  (R3 - 10) - (R3 - 4)  -354.1667 90 228  -3.935  0.0156
##  (R3 - 10) - (R3 - 7)  -196.5000 90 228  -2.183  0.8075
##  (R3 - 10) - (R3 - 9)  -146.0000 90 228  -1.622  0.9864
##  (R3 - 10) - (R4 - 1)  -484.5000 90 228  -5.383 <0.0001
##  (R3 - 10) - (R4 - 14) -240.3333 90 228  -2.670  0.4555
##  (R3 - 10) - (R4 - 6)   -89.5000 90 228  -0.994  1.0000
##  (R3 - 10) - (R4 - 8)  -306.5000 90 228  -3.405  0.0858
##  (R3 - 10) - SC1       -283.5000 90 228  -3.150  0.1696
##  (R3 - 10) - SC2       -218.5000 90 228  -2.428  0.6401
##  (R3 - 10) - SC3       -332.0000 90 228  -3.689  0.0361
##  (R3 - 10) - SC4       -651.6667 90 228  -7.240 <0.0001
##  (R3 - 14) - (R3 - 17)  166.0000 90 228   1.844  0.9502
##  (R3 - 14) - (R3 - 19)   75.0000 90 228   0.833  1.0000
##  (R3 - 14) - (R3 - 4)  -148.6667 90 228  -1.652  0.9835
##  (R3 - 14) - (R3 - 7)     9.0000 90 228   0.100  1.0000
##  (R3 - 14) - (R3 - 9)    59.5000 90 228   0.661  1.0000
##  (R3 - 14) - (R4 - 1)  -279.0000 90 228  -3.100  0.1915
##  (R3 - 14) - (R4 - 14)  -34.8333 90 228  -0.387  1.0000
##  (R3 - 14) - (R4 - 6)   116.0000 90 228   1.289  0.9992
##  (R3 - 14) - (R4 - 8)  -101.0000 90 228  -1.122  0.9999
##  (R3 - 14) - SC1        -78.0000 90 228  -0.867  1.0000
##  (R3 - 14) - SC2        -13.0000 90 228  -0.144  1.0000
##  (R3 - 14) - SC3       -126.5000 90 228  -1.406  0.9975
##  (R3 - 14) - SC4       -446.1667 90 228  -4.957  0.0002
##  (R3 - 17) - (R3 - 19)  -91.0000 90 228  -1.011  1.0000
##  (R3 - 17) - (R3 - 4)  -314.6667 90 228  -3.496  0.0658
##  (R3 - 17) - (R3 - 7)  -157.0000 90 228  -1.744  0.9709
##  (R3 - 17) - (R3 - 9)  -106.5000 90 228  -1.183  0.9998
##  (R3 - 17) - (R4 - 1)  -445.0000 90 228  -4.944  0.0003
##  (R3 - 17) - (R4 - 14) -200.8333 90 228  -2.231  0.7779
##  (R3 - 17) - (R4 - 6)   -50.0000 90 228  -0.556  1.0000
##  (R3 - 17) - (R4 - 8)  -267.0000 90 228  -2.967  0.2594
##  (R3 - 17) - SC1       -244.0000 90 228  -2.711  0.4256
##  (R3 - 17) - SC2       -179.0000 90 228  -1.989  0.9038
##  (R3 - 17) - SC3       -292.5000 90 228  -3.250  0.1314
##  (R3 - 17) - SC4       -612.1667 90 228  -6.802 <0.0001
##  (R3 - 19) - (R3 - 4)  -223.6667 90 228  -2.485  0.5966
##  (R3 - 19) - (R3 - 7)   -66.0000 90 228  -0.733  1.0000
##  (R3 - 19) - (R3 - 9)   -15.5000 90 228  -0.172  1.0000
##  (R3 - 19) - (R4 - 1)  -354.0000 90 228  -3.933  0.0158
##  (R3 - 19) - (R4 - 14) -109.8333 90 228  -1.220  0.9996
##  (R3 - 19) - (R4 - 6)    41.0000 90 228   0.456  1.0000
##  (R3 - 19) - (R4 - 8)  -176.0000 90 228  -1.955  0.9164
##  (R3 - 19) - SC1       -153.0000 90 228  -1.700  0.9776
##  (R3 - 19) - SC2        -88.0000 90 228  -0.978  1.0000
##  (R3 - 19) - SC3       -201.5000 90 228  -2.239  0.7732
##  (R3 - 19) - SC4       -521.1667 90 228  -5.791 <0.0001
##  (R3 - 4) - (R3 - 7)    157.6667 90 228   1.752  0.9696
##  (R3 - 4) - (R3 - 9)    208.1667 90 228   2.313  0.7236
##  (R3 - 4) - (R4 - 1)   -130.3333 90 228  -1.448  0.9964
##  (R3 - 4) - (R4 - 14)   113.8333 90 228   1.265  0.9994
##  (R3 - 4) - (R4 - 6)    264.6667 90 228   2.941  0.2742
##  (R3 - 4) - (R4 - 8)     47.6667 90 228   0.530  1.0000
##  (R3 - 4) - SC1          70.6667 90 228   0.785  1.0000
##  (R3 - 4) - SC2         135.6667 90 228   1.507  0.9942
##  (R3 - 4) - SC3          22.1667 90 228   0.246  1.0000
##  (R3 - 4) - SC4        -297.5000 90 228  -3.305  0.1133
##  (R3 - 7) - (R3 - 9)     50.5000 90 228   0.561  1.0000
##  (R3 - 7) - (R4 - 1)   -288.0000 90 228  -3.200  0.1496
##  (R3 - 7) - (R4 - 14)   -43.8333 90 228  -0.487  1.0000
##  (R3 - 7) - (R4 - 6)    107.0000 90 228   1.189  0.9997
##  (R3 - 7) - (R4 - 8)   -110.0000 90 228  -1.222  0.9996
##  (R3 - 7) - SC1         -87.0000 90 228  -0.967  1.0000
##  (R3 - 7) - SC2         -22.0000 90 228  -0.244  1.0000
##  (R3 - 7) - SC3        -135.5000 90 228  -1.505  0.9942
##  (R3 - 7) - SC4        -455.1667 90 228  -5.057  0.0002
##  (R3 - 9) - (R4 - 1)   -338.5000 90 228  -3.761  0.0285
##  (R3 - 9) - (R4 - 14)   -94.3333 90 228  -1.048  1.0000
##  (R3 - 9) - (R4 - 6)     56.5000 90 228   0.628  1.0000
##  (R3 - 9) - (R4 - 8)   -160.5000 90 228  -1.783  0.9638
##  (R3 - 9) - SC1        -137.5000 90 228  -1.528  0.9931
##  (R3 - 9) - SC2         -72.5000 90 228  -0.806  1.0000
##  (R3 - 9) - SC3        -186.0000 90 228  -2.067  0.8700
##  (R3 - 9) - SC4        -505.6667 90 228  -5.618 <0.0001
##  (R4 - 1) - (R4 - 14)   244.1667 90 228   2.713  0.4243
##  (R4 - 1) - (R4 - 6)    395.0000 90 228   4.389  0.0028
##  (R4 - 1) - (R4 - 8)    178.0000 90 228   1.978  0.9082
##  (R4 - 1) - SC1         201.0000 90 228   2.233  0.7767
##  (R4 - 1) - SC2         266.0000 90 228   2.955  0.2657
##  (R4 - 1) - SC3         152.5000 90 228   1.694  0.9784
##  (R4 - 1) - SC4        -167.1667 90 228  -1.857  0.9468
##  (R4 - 14) - (R4 - 6)   150.8333 90 228   1.676  0.9807
##  (R4 - 14) - (R4 - 8)   -66.1667 90 228  -0.735  1.0000
##  (R4 - 14) - SC1        -43.1667 90 228  -0.480  1.0000
##  (R4 - 14) - SC2         21.8333 90 228   0.243  1.0000
##  (R4 - 14) - SC3        -91.6667 90 228  -1.018  1.0000
##  (R4 - 14) - SC4       -411.3333 90 228  -4.570  0.0013
##  (R4 - 6) - (R4 - 8)   -217.0000 90 228  -2.411  0.6526
##  (R4 - 6) - SC1        -194.0000 90 228  -2.155  0.8236
##  (R4 - 6) - SC2        -129.0000 90 228  -1.433  0.9968
##  (R4 - 6) - SC3        -242.5000 90 228  -2.694  0.4378
##  (R4 - 6) - SC4        -562.1667 90 228  -6.246 <0.0001
##  (R4 - 8) - SC1          23.0000 90 228   0.256  1.0000
##  (R4 - 8) - SC2          88.0000 90 228   0.978  1.0000
##  (R4 - 8) - SC3         -25.5000 90 228  -0.283  1.0000
##  (R4 - 8) - SC4        -345.1667 90 228  -3.835  0.0222
##  SC1 - SC2               65.0000 90 228   0.722  1.0000
##  SC1 - SC3              -48.5000 90 228  -0.539  1.0000
##  SC1 - SC4             -368.1667 90 228  -4.091  0.0089
##  SC2 - SC3             -113.5000 90 228  -1.261  0.9994
##  SC2 - SC4             -433.1667 90 228  -4.813  0.0005
##  SC3 - SC4             -319.6667 90 228  -3.552  0.0556
## 
## Environment = E5:
##  contrast               estimate SE  df t.ratio p.value
##  (R1 - 1) - (R1 - 20)  -166.5000 90 228  -1.850  0.9487
##  (R1 - 1) - (R2 - 10)    22.0000 90 228   0.244  1.0000
##  (R1 - 1) - (R2 - 15)  -265.0000 90 228  -2.944  0.2720
##  (R1 - 1) - (R3 - 1)    -88.1667 90 228  -0.980  1.0000
##  (R1 - 1) - (R3 - 10)    56.0000 90 228   0.622  1.0000
##  (R1 - 1) - (R3 - 14)   -79.5000 90 228  -0.883  1.0000
##  (R1 - 1) - (R3 - 17)  -164.5000 90 228  -1.828  0.9542
##  (R1 - 1) - (R3 - 19)   134.5000 90 228   1.494  0.9947
##  (R1 - 1) - (R3 - 4)   -191.2500 90 228  -2.125  0.8404
##  (R1 - 1) - (R3 - 7)   -293.5000 90 228  -3.261  0.1276
##  (R1 - 1) - (R3 - 9)   -163.0000 90 228  -1.811  0.9580
##  (R1 - 1) - (R4 - 1)   -316.5000 90 228  -3.517  0.0619
##  (R1 - 1) - (R4 - 14)    40.5000 90 228   0.450  1.0000
##  (R1 - 1) - (R4 - 6)   -160.0000 90 228  -1.778  0.9649
##  (R1 - 1) - (R4 - 8)    123.8333 90 228   1.376  0.9981
##  (R1 - 1) - SC1        -157.0000 90 228  -1.744  0.9709
##  (R1 - 1) - SC2           4.0000 90 228   0.044  1.0000
##  (R1 - 1) - SC3         -29.0000 90 228  -0.322  1.0000
##  (R1 - 1) - SC4        -191.1667 90 228  -2.124  0.8409
##  (R1 - 20) - (R2 - 10)  188.5000 90 228   2.094  0.8564
##  (R1 - 20) - (R2 - 15)  -98.5000 90 228  -1.094  0.9999
##  (R1 - 20) - (R3 - 1)    78.3333 90 228   0.870  1.0000
##  (R1 - 20) - (R3 - 10)  222.5000 90 228   2.472  0.6065
##  (R1 - 20) - (R3 - 14)   87.0000 90 228   0.967  1.0000
##  (R1 - 20) - (R3 - 17)    2.0000 90 228   0.022  1.0000
##  (R1 - 20) - (R3 - 19)  301.0000 90 228   3.344  0.1019
##  (R1 - 20) - (R3 - 4)   -24.7500 90 228  -0.275  1.0000
##  (R1 - 20) - (R3 - 7)  -127.0000 90 228  -1.411  0.9974
##  (R1 - 20) - (R3 - 9)     3.5000 90 228   0.039  1.0000
##  (R1 - 20) - (R4 - 1)  -150.0000 90 228  -1.667  0.9818
##  (R1 - 20) - (R4 - 14)  207.0000 90 228   2.300  0.7325
##  (R1 - 20) - (R4 - 6)     6.5000 90 228   0.072  1.0000
##  (R1 - 20) - (R4 - 8)   290.3333 90 228   3.226  0.1399
##  (R1 - 20) - SC1          9.5000 90 228   0.106  1.0000
##  (R1 - 20) - SC2        170.5000 90 228   1.894  0.9365
##  (R1 - 20) - SC3        137.5000 90 228   1.528  0.9931
##  (R1 - 20) - SC4        -24.6667 90 228  -0.274  1.0000
##  (R2 - 10) - (R2 - 15) -287.0000 90 228  -3.189  0.1539
##  (R2 - 10) - (R3 - 1)  -110.1667 90 228  -1.224  0.9996
##  (R2 - 10) - (R3 - 10)   34.0000 90 228   0.378  1.0000
##  (R2 - 10) - (R3 - 14) -101.5000 90 228  -1.128  0.9999
##  (R2 - 10) - (R3 - 17) -186.5000 90 228  -2.072  0.8673
##  (R2 - 10) - (R3 - 19)  112.5000 90 228   1.250  0.9995
##  (R2 - 10) - (R3 - 4)  -213.2500 90 228  -2.369  0.6833
##  (R2 - 10) - (R3 - 7)  -315.5000 90 228  -3.505  0.0640
##  (R2 - 10) - (R3 - 9)  -185.0000 90 228  -2.055  0.8752
##  (R2 - 10) - (R4 - 1)  -338.5000 90 228  -3.761  0.0285
##  (R2 - 10) - (R4 - 14)   18.5000 90 228   0.206  1.0000
##  (R2 - 10) - (R4 - 6)  -182.0000 90 228  -2.022  0.8901
##  (R2 - 10) - (R4 - 8)   101.8333 90 228   1.131  0.9999
##  (R2 - 10) - SC1       -179.0000 90 228  -1.989  0.9038
##  (R2 - 10) - SC2        -18.0000 90 228  -0.200  1.0000
##  (R2 - 10) - SC3        -51.0000 90 228  -0.567  1.0000
##  (R2 - 10) - SC4       -213.1667 90 228  -2.368  0.6840
##  (R2 - 15) - (R3 - 1)   176.8333 90 228   1.965  0.9130
##  (R2 - 15) - (R3 - 10)  321.0000 90 228   3.567  0.0531
##  (R2 - 15) - (R3 - 14)  185.5000 90 228   2.061  0.8726
##  (R2 - 15) - (R3 - 17)  100.5000 90 228   1.117  0.9999
##  (R2 - 15) - (R3 - 19)  399.5000 90 228   4.439  0.0023
##  (R2 - 15) - (R3 - 4)    73.7500 90 228   0.819  1.0000
##  (R2 - 15) - (R3 - 7)   -28.5000 90 228  -0.317  1.0000
##  (R2 - 15) - (R3 - 9)   102.0000 90 228   1.133  0.9999
##  (R2 - 15) - (R4 - 1)   -51.5000 90 228  -0.572  1.0000
##  (R2 - 15) - (R4 - 14)  305.5000 90 228   3.394  0.0885
##  (R2 - 15) - (R4 - 6)   105.0000 90 228   1.167  0.9998
##  (R2 - 15) - (R4 - 8)   388.8333 90 228   4.320  0.0037
##  (R2 - 15) - SC1        108.0000 90 228   1.200  0.9997
##  (R2 - 15) - SC2        269.0000 90 228   2.989  0.2471
##  (R2 - 15) - SC3        236.0000 90 228   2.622  0.4917
##  (R2 - 15) - SC4         73.8333 90 228   0.820  1.0000
##  (R3 - 1) - (R3 - 10)   144.1667 90 228   1.602  0.9882
##  (R3 - 1) - (R3 - 14)     8.6667 90 228   0.096  1.0000
##  (R3 - 1) - (R3 - 17)   -76.3333 90 228  -0.848  1.0000
##  (R3 - 1) - (R3 - 19)   222.6667 90 228   2.474  0.6051
##  (R3 - 1) - (R3 - 4)   -103.0833 90 228  -1.145  0.9998
##  (R3 - 1) - (R3 - 7)   -205.3333 90 228  -2.281  0.7451
##  (R3 - 1) - (R3 - 9)    -74.8333 90 228  -0.831  1.0000
##  (R3 - 1) - (R4 - 1)   -228.3333 90 228  -2.537  0.5568
##  (R3 - 1) - (R4 - 14)   128.6667 90 228   1.430  0.9969
##  (R3 - 1) - (R4 - 6)    -71.8333 90 228  -0.798  1.0000
##  (R3 - 1) - (R4 - 8)    212.0000 90 228   2.355  0.6934
##  (R3 - 1) - SC1         -68.8333 90 228  -0.765  1.0000
##  (R3 - 1) - SC2          92.1667 90 228   1.024  1.0000
##  (R3 - 1) - SC3          59.1667 90 228   0.657  1.0000
##  (R3 - 1) - SC4        -103.0000 90 228  -1.144  0.9999
##  (R3 - 10) - (R3 - 14) -135.5000 90 228  -1.505  0.9942
##  (R3 - 10) - (R3 - 17) -220.5000 90 228  -2.450  0.6234
##  (R3 - 10) - (R3 - 19)   78.5000 90 228   0.872  1.0000
##  (R3 - 10) - (R3 - 4)  -247.2500 90 228  -2.747  0.3997
##  (R3 - 10) - (R3 - 7)  -349.5000 90 228  -3.883  0.0188
##  (R3 - 10) - (R3 - 9)  -219.0000 90 228  -2.433  0.6360
##  (R3 - 10) - (R4 - 1)  -372.5000 90 228  -4.139  0.0074
##  (R3 - 10) - (R4 - 14)  -15.5000 90 228  -0.172  1.0000
##  (R3 - 10) - (R4 - 6)  -216.0000 90 228  -2.400  0.6609
##  (R3 - 10) - (R4 - 8)    67.8333 90 228   0.754  1.0000
##  (R3 - 10) - SC1       -213.0000 90 228  -2.367  0.6853
##  (R3 - 10) - SC2        -52.0000 90 228  -0.578  1.0000
##  (R3 - 10) - SC3        -85.0000 90 228  -0.944  1.0000
##  (R3 - 10) - SC4       -247.1667 90 228  -2.746  0.4004
##  (R3 - 14) - (R3 - 17)  -85.0000 90 228  -0.944  1.0000
##  (R3 - 14) - (R3 - 19)  214.0000 90 228   2.378  0.6772
##  (R3 - 14) - (R3 - 4)  -111.7500 90 228  -1.242  0.9995
##  (R3 - 14) - (R3 - 7)  -214.0000 90 228  -2.378  0.6772
##  (R3 - 14) - (R3 - 9)   -83.5000 90 228  -0.928  1.0000
##  (R3 - 14) - (R4 - 1)  -237.0000 90 228  -2.633  0.4833
##  (R3 - 14) - (R4 - 14)  120.0000 90 228   1.333  0.9987
##  (R3 - 14) - (R4 - 6)   -80.5000 90 228  -0.894  1.0000
##  (R3 - 14) - (R4 - 8)   203.3333 90 228   2.259  0.7599
##  (R3 - 14) - SC1        -77.5000 90 228  -0.861  1.0000
##  (R3 - 14) - SC2         83.5000 90 228   0.928  1.0000
##  (R3 - 14) - SC3         50.5000 90 228   0.561  1.0000
##  (R3 - 14) - SC4       -111.6667 90 228  -1.241  0.9995
##  (R3 - 17) - (R3 - 19)  299.0000 90 228   3.322  0.1083
##  (R3 - 17) - (R3 - 4)   -26.7500 90 228  -0.297  1.0000
##  (R3 - 17) - (R3 - 7)  -129.0000 90 228  -1.433  0.9968
##  (R3 - 17) - (R3 - 9)     1.5000 90 228   0.017  1.0000
##  (R3 - 17) - (R4 - 1)  -152.0000 90 228  -1.689  0.9791
##  (R3 - 17) - (R4 - 14)  205.0000 90 228   2.278  0.7476
##  (R3 - 17) - (R4 - 6)     4.5000 90 228   0.050  1.0000
##  (R3 - 17) - (R4 - 8)   288.3333 90 228   3.204  0.1482
##  (R3 - 17) - SC1          7.5000 90 228   0.083  1.0000
##  (R3 - 17) - SC2        168.5000 90 228   1.872  0.9428
##  (R3 - 17) - SC3        135.5000 90 228   1.505  0.9942
##  (R3 - 17) - SC4        -26.6667 90 228  -0.296  1.0000
##  (R3 - 19) - (R3 - 4)  -325.7500 90 228  -3.619  0.0451
##  (R3 - 19) - (R3 - 7)  -428.0000 90 228  -4.755  0.0006
##  (R3 - 19) - (R3 - 9)  -297.5000 90 228  -3.305  0.1133
##  (R3 - 19) - (R4 - 1)  -451.0000 90 228  -5.011  0.0002
##  (R3 - 19) - (R4 - 14)  -94.0000 90 228  -1.044  1.0000
##  (R3 - 19) - (R4 - 6)  -294.5000 90 228  -3.272  0.1239
##  (R3 - 19) - (R4 - 8)   -10.6667 90 228  -0.119  1.0000
##  (R3 - 19) - SC1       -291.5000 90 228  -3.239  0.1353
##  (R3 - 19) - SC2       -130.5000 90 228  -1.450  0.9963
##  (R3 - 19) - SC3       -163.5000 90 228  -1.817  0.9568
##  (R3 - 19) - SC4       -325.6667 90 228  -3.618  0.0452
##  (R3 - 4) - (R3 - 7)   -102.2500 90 228  -1.136  0.9999
##  (R3 - 4) - (R3 - 9)     28.2500 90 228   0.314  1.0000
##  (R3 - 4) - (R4 - 1)   -125.2500 90 228  -1.392  0.9978
##  (R3 - 4) - (R4 - 14)   231.7500 90 228   2.575  0.5277
##  (R3 - 4) - (R4 - 6)     31.2500 90 228   0.347  1.0000
##  (R3 - 4) - (R4 - 8)    315.0833 90 228   3.501  0.0649
##  (R3 - 4) - SC1          34.2500 90 228   0.381  1.0000
##  (R3 - 4) - SC2         195.2500 90 228   2.169  0.8156
##  (R3 - 4) - SC3         162.2500 90 228   1.803  0.9598
##  (R3 - 4) - SC4           0.0833 90 228   0.001  1.0000
##  (R3 - 7) - (R3 - 9)    130.5000 90 228   1.450  0.9963
##  (R3 - 7) - (R4 - 1)    -23.0000 90 228  -0.256  1.0000
##  (R3 - 7) - (R4 - 14)   334.0000 90 228   3.711  0.0336
##  (R3 - 7) - (R4 - 6)    133.5000 90 228   1.483  0.9952
##  (R3 - 7) - (R4 - 8)    417.3333 90 228   4.637  0.0010
##  (R3 - 7) - SC1         136.5000 90 228   1.517  0.9937
##  (R3 - 7) - SC2         297.5000 90 228   3.305  0.1133
##  (R3 - 7) - SC3         264.5000 90 228   2.939  0.2753
##  (R3 - 7) - SC4         102.3333 90 228   1.137  0.9999
##  (R3 - 9) - (R4 - 1)   -153.5000 90 228  -1.705  0.9769
##  (R3 - 9) - (R4 - 14)   203.5000 90 228   2.261  0.7587
##  (R3 - 9) - (R4 - 6)      3.0000 90 228   0.033  1.0000
##  (R3 - 9) - (R4 - 8)    286.8333 90 228   3.187  0.1546
##  (R3 - 9) - SC1           6.0000 90 228   0.067  1.0000
##  (R3 - 9) - SC2         167.0000 90 228   1.855  0.9473
##  (R3 - 9) - SC3         134.0000 90 228   1.489  0.9950
##  (R3 - 9) - SC4         -28.1667 90 228  -0.313  1.0000
##  (R4 - 1) - (R4 - 14)   357.0000 90 228   3.967  0.0140
##  (R4 - 1) - (R4 - 6)    156.5000 90 228   1.739  0.9718
##  (R4 - 1) - (R4 - 8)    440.3333 90 228   4.892  0.0003
##  (R4 - 1) - SC1         159.5000 90 228   1.772  0.9660
##  (R4 - 1) - SC2         320.5000 90 228   3.561  0.0541
##  (R4 - 1) - SC3         287.5000 90 228   3.194  0.1517
##  (R4 - 1) - SC4         125.3333 90 228   1.393  0.9978
##  (R4 - 14) - (R4 - 6)  -200.5000 90 228  -2.228  0.7803
##  (R4 - 14) - (R4 - 8)    83.3333 90 228   0.926  1.0000
##  (R4 - 14) - SC1       -197.5000 90 228  -2.194  0.8008
##  (R4 - 14) - SC2        -36.5000 90 228  -0.406  1.0000
##  (R4 - 14) - SC3        -69.5000 90 228  -0.772  1.0000
##  (R4 - 14) - SC4       -231.6667 90 228  -2.574  0.5284
##  (R4 - 6) - (R4 - 8)    283.8333 90 228   3.154  0.1680
##  (R4 - 6) - SC1           3.0000 90 228   0.033  1.0000
##  (R4 - 6) - SC2         164.0000 90 228   1.822  0.9555
##  (R4 - 6) - SC3         131.0000 90 228   1.456  0.9962
##  (R4 - 6) - SC4         -31.1667 90 228  -0.346  1.0000
##  (R4 - 8) - SC1        -280.8333 90 228  -3.120  0.1823
##  (R4 - 8) - SC2        -119.8333 90 228  -1.331  0.9988
##  (R4 - 8) - SC3        -152.8333 90 228  -1.698  0.9779
##  (R4 - 8) - SC4        -315.0000 90 228  -3.500  0.0651
##  SC1 - SC2              161.0000 90 228   1.789  0.9627
##  SC1 - SC3              128.0000 90 228   1.422  0.9971
##  SC1 - SC4              -34.1667 90 228  -0.380  1.0000
##  SC2 - SC3              -33.0000 90 228  -0.367  1.0000
##  SC2 - SC4             -195.1667 90 228  -2.168  0.8162
##  SC3 - SC4             -162.1667 90 228  -1.802  0.9600
## 
## Environment = E6:
##  contrast               estimate SE  df t.ratio p.value
##  (R1 - 1) - (R1 - 20)  -315.7500 90 228  -3.508  0.0635
##  (R1 - 1) - (R2 - 10)  -533.0000 90 228  -5.922 <0.0001
##  (R1 - 1) - (R2 - 15)   -66.5000 90 228  -0.739  1.0000
##  (R1 - 1) - (R3 - 1)   -184.5000 90 228  -2.050  0.8778
##  (R1 - 1) - (R3 - 10)  -426.8333 90 228  -4.742  0.0006
##  (R1 - 1) - (R3 - 14)   -98.8333 90 228  -1.098  0.9999
##  (R1 - 1) - (R3 - 17)  -166.8333 90 228  -1.854  0.9478
##  (R1 - 1) - (R3 - 19)  -685.5000 90 228  -7.616 <0.0001
##  (R1 - 1) - (R3 - 4)   -539.0000 90 228  -5.989 <0.0001
##  (R1 - 1) - (R3 - 7)     26.0000 90 228   0.289  1.0000
##  (R1 - 1) - (R3 - 9)   -109.0000 90 228  -1.211  0.9997
##  (R1 - 1) - (R4 - 1)   -146.0000 90 228  -1.622  0.9864
##  (R1 - 1) - (R4 - 14)   -50.5000 90 228  -0.561  1.0000
##  (R1 - 1) - (R4 - 6)   -380.5000 90 228  -4.228  0.0053
##  (R1 - 1) - (R4 - 8)   -220.7500 90 228  -2.453  0.6213
##  (R1 - 1) - SC1         -41.0000 90 228  -0.456  1.0000
##  (R1 - 1) - SC2          36.0000 90 228   0.400  1.0000
##  (R1 - 1) - SC3           2.0000 90 228   0.022  1.0000
##  (R1 - 1) - SC4          -5.0000 90 228  -0.056  1.0000
##  (R1 - 20) - (R2 - 10) -217.2500 90 228  -2.414  0.6505
##  (R1 - 20) - (R2 - 15)  249.2500 90 228   2.769  0.3841
##  (R1 - 20) - (R3 - 1)   131.2500 90 228   1.458  0.9961
##  (R1 - 20) - (R3 - 10) -111.0833 90 228  -1.234  0.9996
##  (R1 - 20) - (R3 - 14)  216.9167 90 228   2.410  0.6533
##  (R1 - 20) - (R3 - 17)  148.9167 90 228   1.655  0.9832
##  (R1 - 20) - (R3 - 19) -369.7500 90 228  -4.108  0.0083
##  (R1 - 20) - (R3 - 4)  -223.2500 90 228  -2.480  0.6001
##  (R1 - 20) - (R3 - 7)   341.7500 90 228   3.797  0.0252
##  (R1 - 20) - (R3 - 9)   206.7500 90 228   2.297  0.7344
##  (R1 - 20) - (R4 - 1)   169.7500 90 228   1.886  0.9389
##  (R1 - 20) - (R4 - 14)  265.2500 90 228   2.947  0.2704
##  (R1 - 20) - (R4 - 6)   -64.7500 90 228  -0.719  1.0000
##  (R1 - 20) - (R4 - 8)    95.0000 90 228   1.056  1.0000
##  (R1 - 20) - SC1        274.7500 90 228   3.053  0.2139
##  (R1 - 20) - SC2        351.7500 90 228   3.908  0.0172
##  (R1 - 20) - SC3        317.7500 90 228   3.530  0.0593
##  (R1 - 20) - SC4        310.7500 90 228   3.453  0.0748
##  (R2 - 10) - (R2 - 15)  466.5000 90 228   5.183 <0.0001
##  (R2 - 10) - (R3 - 1)   348.5000 90 228   3.872  0.0195
##  (R2 - 10) - (R3 - 10)  106.1667 90 228   1.180  0.9998
##  (R2 - 10) - (R3 - 14)  434.1667 90 228   4.824  0.0004
##  (R2 - 10) - (R3 - 17)  366.1667 90 228   4.068  0.0097
##  (R2 - 10) - (R3 - 19) -152.5000 90 228  -1.694  0.9784
##  (R2 - 10) - (R3 - 4)    -6.0000 90 228  -0.067  1.0000
##  (R2 - 10) - (R3 - 7)   559.0000 90 228   6.211 <0.0001
##  (R2 - 10) - (R3 - 9)   424.0000 90 228   4.711  0.0007
##  (R2 - 10) - (R4 - 1)   387.0000 90 228   4.300  0.0040
##  (R2 - 10) - (R4 - 14)  482.5000 90 228   5.361 <0.0001
##  (R2 - 10) - (R4 - 6)   152.5000 90 228   1.694  0.9784
##  (R2 - 10) - (R4 - 8)   312.2500 90 228   3.469  0.0713
##  (R2 - 10) - SC1        492.0000 90 228   5.466 <0.0001
##  (R2 - 10) - SC2        569.0000 90 228   6.322 <0.0001
##  (R2 - 10) - SC3        535.0000 90 228   5.944 <0.0001
##  (R2 - 10) - SC4        528.0000 90 228   5.866 <0.0001
##  (R2 - 15) - (R3 - 1)  -118.0000 90 228  -1.311  0.9990
##  (R2 - 15) - (R3 - 10) -360.3333 90 228  -4.004  0.0122
##  (R2 - 15) - (R3 - 14)  -32.3333 90 228  -0.359  1.0000
##  (R2 - 15) - (R3 - 17) -100.3333 90 228  -1.115  0.9999
##  (R2 - 15) - (R3 - 19) -619.0000 90 228  -6.878 <0.0001
##  (R2 - 15) - (R3 - 4)  -472.5000 90 228  -5.250 <0.0001
##  (R2 - 15) - (R3 - 7)    92.5000 90 228   1.028  1.0000
##  (R2 - 15) - (R3 - 9)   -42.5000 90 228  -0.472  1.0000
##  (R2 - 15) - (R4 - 1)   -79.5000 90 228  -0.883  1.0000
##  (R2 - 15) - (R4 - 14)   16.0000 90 228   0.178  1.0000
##  (R2 - 15) - (R4 - 6)  -314.0000 90 228  -3.489  0.0673
##  (R2 - 15) - (R4 - 8)  -154.2500 90 228  -1.714  0.9757
##  (R2 - 15) - SC1         25.5000 90 228   0.283  1.0000
##  (R2 - 15) - SC2        102.5000 90 228   1.139  0.9999
##  (R2 - 15) - SC3         68.5000 90 228   0.761  1.0000
##  (R2 - 15) - SC4         61.5000 90 228   0.683  1.0000
##  (R3 - 1) - (R3 - 10)  -242.3333 90 228  -2.692  0.4391
##  (R3 - 1) - (R3 - 14)    85.6667 90 228   0.952  1.0000
##  (R3 - 1) - (R3 - 17)    17.6667 90 228   0.196  1.0000
##  (R3 - 1) - (R3 - 19)  -501.0000 90 228  -5.566 <0.0001
##  (R3 - 1) - (R3 - 4)   -354.5000 90 228  -3.939  0.0154
##  (R3 - 1) - (R3 - 7)    210.5000 90 228   2.339  0.7053
##  (R3 - 1) - (R3 - 9)     75.5000 90 228   0.839  1.0000
##  (R3 - 1) - (R4 - 1)     38.5000 90 228   0.428  1.0000
##  (R3 - 1) - (R4 - 14)   134.0000 90 228   1.489  0.9950
##  (R3 - 1) - (R4 - 6)   -196.0000 90 228  -2.178  0.8108
##  (R3 - 1) - (R4 - 8)    -36.2500 90 228  -0.403  1.0000
##  (R3 - 1) - SC1         143.5000 90 228   1.594  0.9888
##  (R3 - 1) - SC2         220.5000 90 228   2.450  0.6234
##  (R3 - 1) - SC3         186.5000 90 228   2.072  0.8673
##  (R3 - 1) - SC4         179.5000 90 228   1.994  0.9016
##  (R3 - 10) - (R3 - 14)  328.0000 90 228   3.644  0.0416
##  (R3 - 10) - (R3 - 17)  260.0000 90 228   2.889  0.3053
##  (R3 - 10) - (R3 - 19) -258.6667 90 228  -2.874  0.3146
##  (R3 - 10) - (R3 - 4)  -112.1667 90 228  -1.246  0.9995
##  (R3 - 10) - (R3 - 7)   452.8333 90 228   5.031  0.0002
##  (R3 - 10) - (R3 - 9)   317.8333 90 228   3.531  0.0592
##  (R3 - 10) - (R4 - 1)   280.8333 90 228   3.120  0.1823
##  (R3 - 10) - (R4 - 14)  376.3333 90 228   4.181  0.0063
##  (R3 - 10) - (R4 - 6)    46.3333 90 228   0.515  1.0000
##  (R3 - 10) - (R4 - 8)   206.0833 90 228   2.290  0.7395
##  (R3 - 10) - SC1        385.8333 90 228   4.287  0.0042
##  (R3 - 10) - SC2        462.8333 90 228   5.142  0.0001
##  (R3 - 10) - SC3        428.8333 90 228   4.765  0.0006
##  (R3 - 10) - SC4        421.8333 90 228   4.687  0.0008
##  (R3 - 14) - (R3 - 17)  -68.0000 90 228  -0.756  1.0000
##  (R3 - 14) - (R3 - 19) -586.6667 90 228  -6.518 <0.0001
##  (R3 - 14) - (R3 - 4)  -440.1667 90 228  -4.891  0.0003
##  (R3 - 14) - (R3 - 7)   124.8333 90 228   1.387  0.9979
##  (R3 - 14) - (R3 - 9)   -10.1667 90 228  -0.113  1.0000
##  (R3 - 14) - (R4 - 1)   -47.1667 90 228  -0.524  1.0000
##  (R3 - 14) - (R4 - 14)   48.3333 90 228   0.537  1.0000
##  (R3 - 14) - (R4 - 6)  -281.6667 90 228  -3.130  0.1783
##  (R3 - 14) - (R4 - 8)  -121.9167 90 228  -1.355  0.9985
##  (R3 - 14) - SC1         57.8333 90 228   0.643  1.0000
##  (R3 - 14) - SC2        134.8333 90 228   1.498  0.9946
##  (R3 - 14) - SC3        100.8333 90 228   1.120  0.9999
##  (R3 - 14) - SC4         93.8333 90 228   1.043  1.0000
##  (R3 - 17) - (R3 - 19) -518.6667 90 228  -5.763 <0.0001
##  (R3 - 17) - (R3 - 4)  -372.1667 90 228  -4.135  0.0075
##  (R3 - 17) - (R3 - 7)   192.8333 90 228   2.143  0.8309
##  (R3 - 17) - (R3 - 9)    57.8333 90 228   0.643  1.0000
##  (R3 - 17) - (R4 - 1)    20.8333 90 228   0.231  1.0000
##  (R3 - 17) - (R4 - 14)  116.3333 90 228   1.293  0.9992
##  (R3 - 17) - (R4 - 6)  -213.6667 90 228  -2.374  0.6799
##  (R3 - 17) - (R4 - 8)   -53.9167 90 228  -0.599  1.0000
##  (R3 - 17) - SC1        125.8333 90 228   1.398  0.9977
##  (R3 - 17) - SC2        202.8333 90 228   2.254  0.7636
##  (R3 - 17) - SC3        168.8333 90 228   1.876  0.9418
##  (R3 - 17) - SC4        161.8333 90 228   1.798  0.9608
##  (R3 - 19) - (R3 - 4)   146.5000 90 228   1.628  0.9859
##  (R3 - 19) - (R3 - 7)   711.5000 90 228   7.905 <0.0001
##  (R3 - 19) - (R3 - 9)   576.5000 90 228   6.405 <0.0001
##  (R3 - 19) - (R4 - 1)   539.5000 90 228   5.994 <0.0001
##  (R3 - 19) - (R4 - 14)  635.0000 90 228   7.055 <0.0001
##  (R3 - 19) - (R4 - 6)   305.0000 90 228   3.389  0.0899
##  (R3 - 19) - (R4 - 8)   464.7500 90 228   5.164 <0.0001
##  (R3 - 19) - SC1        644.5000 90 228   7.161 <0.0001
##  (R3 - 19) - SC2        721.5000 90 228   8.016 <0.0001
##  (R3 - 19) - SC3        687.5000 90 228   7.639 <0.0001
##  (R3 - 19) - SC4        680.5000 90 228   7.561 <0.0001
##  (R3 - 4) - (R3 - 7)    565.0000 90 228   6.278 <0.0001
##  (R3 - 4) - (R3 - 9)    430.0000 90 228   4.778  0.0005
##  (R3 - 4) - (R4 - 1)    393.0000 90 228   4.367  0.0031
##  (R3 - 4) - (R4 - 14)   488.5000 90 228   5.428 <0.0001
##  (R3 - 4) - (R4 - 6)    158.5000 90 228   1.761  0.9680
##  (R3 - 4) - (R4 - 8)    318.2500 90 228   3.536  0.0584
##  (R3 - 4) - SC1         498.0000 90 228   5.533 <0.0001
##  (R3 - 4) - SC2         575.0000 90 228   6.389 <0.0001
##  (R3 - 4) - SC3         541.0000 90 228   6.011 <0.0001
##  (R3 - 4) - SC4         534.0000 90 228   5.933 <0.0001
##  (R3 - 7) - (R3 - 9)   -135.0000 90 228  -1.500  0.9945
##  (R3 - 7) - (R4 - 1)   -172.0000 90 228  -1.911  0.9314
##  (R3 - 7) - (R4 - 14)   -76.5000 90 228  -0.850  1.0000
##  (R3 - 7) - (R4 - 6)   -406.5000 90 228  -4.516  0.0017
##  (R3 - 7) - (R4 - 8)   -246.7500 90 228  -2.742  0.4036
##  (R3 - 7) - SC1         -67.0000 90 228  -0.744  1.0000
##  (R3 - 7) - SC2          10.0000 90 228   0.111  1.0000
##  (R3 - 7) - SC3         -24.0000 90 228  -0.267  1.0000
##  (R3 - 7) - SC4         -31.0000 90 228  -0.344  1.0000
##  (R3 - 9) - (R4 - 1)    -37.0000 90 228  -0.411  1.0000
##  (R3 - 9) - (R4 - 14)    58.5000 90 228   0.650  1.0000
##  (R3 - 9) - (R4 - 6)   -271.5000 90 228  -3.017  0.2323
##  (R3 - 9) - (R4 - 8)   -111.7500 90 228  -1.242  0.9995
##  (R3 - 9) - SC1          68.0000 90 228   0.756  1.0000
##  (R3 - 9) - SC2         145.0000 90 228   1.611  0.9874
##  (R3 - 9) - SC3         111.0000 90 228   1.233  0.9996
##  (R3 - 9) - SC4         104.0000 90 228   1.156  0.9998
##  (R4 - 1) - (R4 - 14)    95.5000 90 228   1.061  1.0000
##  (R4 - 1) - (R4 - 6)   -234.5000 90 228  -2.605  0.5043
##  (R4 - 1) - (R4 - 8)    -74.7500 90 228  -0.831  1.0000
##  (R4 - 1) - SC1         105.0000 90 228   1.167  0.9998
##  (R4 - 1) - SC2         182.0000 90 228   2.022  0.8901
##  (R4 - 1) - SC3         148.0000 90 228   1.644  0.9843
##  (R4 - 1) - SC4         141.0000 90 228   1.567  0.9908
##  (R4 - 14) - (R4 - 6)  -330.0000 90 228  -3.667  0.0388
##  (R4 - 14) - (R4 - 8)  -170.2500 90 228  -1.892  0.9373
##  (R4 - 14) - SC1          9.5000 90 228   0.106  1.0000
##  (R4 - 14) - SC2         86.5000 90 228   0.961  1.0000
##  (R4 - 14) - SC3         52.5000 90 228   0.583  1.0000
##  (R4 - 14) - SC4         45.5000 90 228   0.506  1.0000
##  (R4 - 6) - (R4 - 8)    159.7500 90 228   1.775  0.9654
##  (R4 - 6) - SC1         339.5000 90 228   3.772  0.0274
##  (R4 - 6) - SC2         416.5000 90 228   4.628  0.0010
##  (R4 - 6) - SC3         382.5000 90 228   4.250  0.0049
##  (R4 - 6) - SC4         375.5000 90 228   4.172  0.0065
##  (R4 - 8) - SC1         179.7500 90 228   1.997  0.9005
##  (R4 - 8) - SC2         256.7500 90 228   2.853  0.3281
##  (R4 - 8) - SC3         222.7500 90 228   2.475  0.6043
##  (R4 - 8) - SC4         215.7500 90 228   2.397  0.6629
##  SC1 - SC2               77.0000 90 228   0.856  1.0000
##  SC1 - SC3               43.0000 90 228   0.478  1.0000
##  SC1 - SC4               36.0000 90 228   0.400  1.0000
##  SC2 - SC3              -34.0000 90 228  -0.378  1.0000
##  SC2 - SC4              -41.0000 90 228  -0.456  1.0000
##  SC3 - SC4               -7.0000 90 228  -0.078  1.0000
## 
## Degrees-of-freedom method: kenward-roger 
## P value adjustment: tukey method for comparing a family of 20 estimates

================================================================

27. GRAFIK INTERAKSI BIOMASS

================================================================

emmip(
  model_biomass,
  Environment ~ Genotype,
  CIs = TRUE
)

# ================================================================ # 28. MEMBANDINGKAN MODEL YIELD DAN BIOMASS # ================================================================

summary(model_yield)
## Linear mixed model fit by REML. t-tests use Satterthwaite's method [
## lmerModLmerTest]
## Formula: Yield ~ Genotype * Environment + (1 | Environment:Replications)
##    Data: data
## 
## REML criterion at convergence: 770.3
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -4.4372 -0.1681 -0.0115  0.2045  4.5136 
## 
## Random effects:
##  Groups                   Name        Variance Std.Dev.
##  Environment:Replications (Intercept) 0.02313  0.1521  
##  Residual                             0.81877  0.9049  
## Number of obs: 360, groups:  Environment:Replications, 18
## 
## Fixed effects:
##                                 Estimate Std. Error         df t value Pr(>|t|)
## (Intercept)                    4.233e+00  5.297e-01  2.366e+02   7.991 5.86e-14
## GenotypeR1 - 20                4.811e-14  7.388e-01  2.280e+02   0.000 1.000000
## GenotypeR2 - 10                4.667e+00  7.388e-01  2.280e+02   6.316 1.39e-09
## GenotypeR2 - 15                3.033e+00  7.388e-01  2.280e+02   4.106 5.62e-05
## GenotypeR3 - 1                 2.833e+00  7.388e-01  2.280e+02   3.835 0.000163
## GenotypeR3 - 10                2.633e+00  7.388e-01  2.280e+02   3.564 0.000444
## GenotypeR3 - 14               -4.333e-01  7.388e-01  2.280e+02  -0.587 0.558103
## GenotypeR3 - 17                1.789e+00  7.388e-01  2.280e+02   2.421 0.016247
## GenotypeR3 - 19                1.200e+00  7.388e-01  2.280e+02   1.624 0.105710
## GenotypeR3 - 4                 1.478e+00  7.388e-01  2.280e+02   2.000 0.046665
## GenotypeR3 - 7                -5.667e-01  7.388e-01  2.280e+02  -0.767 0.443878
## GenotypeR3 - 9                 6.333e-01  7.388e-01  2.280e+02   0.857 0.392219
## GenotypeR4 - 1                 3.367e+00  7.388e-01  2.280e+02   4.557 8.47e-06
## GenotypeR4 - 14               -9.667e-01  7.388e-01  2.280e+02  -1.308 0.192054
## GenotypeR4 - 6                 3.067e+00  7.388e-01  2.280e+02   4.151 4.68e-05
## GenotypeR4 - 8                 4.567e+00  7.388e-01  2.280e+02   6.181 2.91e-09
## GenotypeSC1                    2.567e+00  7.388e-01  2.280e+02   3.474 0.000613
## GenotypeSC2                   -1.500e+00  7.388e-01  2.280e+02  -2.030 0.043489
## GenotypeSC3                    3.667e-01  7.388e-01  2.280e+02   0.496 0.620168
## GenotypeSC4                    1.400e+00  7.388e-01  2.280e+02   1.895 0.059367
## EnvironmentE2                  1.334e-01  7.492e-01  2.366e+02   0.178 0.858873
## EnvironmentE3                  2.100e+00  7.492e-01  2.366e+02   2.803 0.005481
## EnvironmentE4                  3.800e+00  7.492e-01  2.366e+02   5.072 7.94e-07
## EnvironmentE5                  5.100e+00  7.492e-01  2.366e+02   6.808 8.10e-11
## EnvironmentE6                 -1.833e+00  7.492e-01  2.366e+02  -2.447 0.015129
## GenotypeR1 - 20:EnvironmentE2  9.000e-01  1.045e+00  2.280e+02   0.861 0.389935
## GenotypeR2 - 10:EnvironmentE2 -4.700e+00  1.045e+00  2.280e+02  -4.498 1.09e-05
## GenotypeR2 - 15:EnvironmentE2 -4.967e+00  1.045e+00  2.280e+02  -4.754 3.54e-06
## GenotypeR3 - 1:EnvironmentE2  -3.733e+00  1.045e+00  2.280e+02  -3.573 0.000430
## GenotypeR3 - 10:EnvironmentE2 -4.667e-01  1.045e+00  2.280e+02  -0.447 0.655567
## GenotypeR3 - 14:EnvironmentE2  1.067e+00  1.045e+00  2.280e+02   1.021 0.308388
## GenotypeR3 - 17:EnvironmentE2 -1.922e+00  1.045e+00  2.280e+02  -1.840 0.067109
## GenotypeR3 - 19:EnvironmentE2 -2.800e+00  1.045e+00  2.280e+02  -2.680 0.007903
## GenotypeR3 - 4:EnvironmentE2   5.556e-01  1.045e+00  2.280e+02   0.532 0.595436
## GenotypeR3 - 7:EnvironmentE2   3.267e+00  1.045e+00  2.280e+02   3.126 0.001999
## GenotypeR3 - 9:EnvironmentE2  -2.333e-01  1.045e+00  2.280e+02  -0.223 0.823488
## GenotypeR4 - 1:EnvironmentE2  -4.667e-01  1.045e+00  2.280e+02  -0.447 0.655570
## GenotypeR4 - 14:EnvironmentE2  2.650e+00  1.045e+00  2.280e+02   2.536 0.011873
## GenotypeR4 - 6:EnvironmentE2  -1.033e+00  1.045e+00  2.280e+02  -0.989 0.323723
## GenotypeR4 - 8:EnvironmentE2  -3.900e+00  1.045e+00  2.280e+02  -3.733 0.000239
## GenotypeSC1:EnvironmentE2     -2.800e+00  1.045e+00  2.280e+02  -2.680 0.007903
## GenotypeSC2:EnvironmentE2      2.333e+00  1.045e+00  2.280e+02   2.233 0.026507
## GenotypeSC3:EnvironmentE2      4.000e-01  1.045e+00  2.280e+02   0.383 0.702198
## GenotypeSC4:EnvironmentE2     -2.800e+00  1.045e+00  2.280e+02  -2.680 0.007903
## GenotypeR1 - 20:EnvironmentE3  1.867e+00  1.045e+00  2.280e+02   1.787 0.075337
## GenotypeR2 - 10:EnvironmentE3 -4.933e+00  1.045e+00  2.280e+02  -4.722 4.09e-06
## GenotypeR2 - 15:EnvironmentE3 -2.533e+00  1.045e+00  2.280e+02  -2.425 0.016104
## GenotypeR3 - 1:EnvironmentE3  -5.000e-01  1.045e+00  2.280e+02  -0.479 0.632732
## GenotypeR3 - 10:EnvironmentE3 -1.200e+00  1.045e+00  2.280e+02  -1.148 0.251969
## GenotypeR3 - 14:EnvironmentE3 -1.733e+00  1.045e+00  2.280e+02  -1.659 0.098500
## GenotypeR3 - 17:EnvironmentE3 -1.056e+00  1.045e+00  2.280e+02  -1.010 0.313446
## GenotypeR3 - 19:EnvironmentE3 -2.400e+00  1.045e+00  2.280e+02  -2.297 0.022526
## GenotypeR3 - 4:EnvironmentE3  -3.611e+00  1.045e+00  2.280e+02  -3.456 0.000653
## GenotypeR3 - 7:EnvironmentE3   4.833e+00  1.045e+00  2.280e+02   4.626 6.25e-06
## GenotypeR3 - 9:EnvironmentE3  -5.222e-01  1.045e+00  2.280e+02  -0.500 0.617691
## GenotypeR4 - 1:EnvironmentE3  -3.133e+00  1.045e+00  2.280e+02  -2.999 0.003011
## GenotypeR4 - 14:EnvironmentE3  3.544e+00  1.045e+00  2.280e+02   3.392 0.000817
## GenotypeR4 - 6:EnvironmentE3  -4.333e+00  1.045e+00  2.280e+02  -4.147 4.75e-05
## GenotypeR4 - 8:EnvironmentE3  -8.367e+00  1.045e+00  2.280e+02  -8.008 5.96e-14
## GenotypeSC1:EnvironmentE3     -5.200e+00  1.045e+00  2.280e+02  -4.977 1.27e-06
## GenotypeSC2:EnvironmentE3     -3.667e-01  1.045e+00  2.280e+02  -0.351 0.725958
## GenotypeSC3:EnvironmentE3     -8.333e-01  1.045e+00  2.280e+02  -0.798 0.425949
## GenotypeSC4:EnvironmentE3     -1.900e+00  1.045e+00  2.280e+02  -1.818 0.070306
## GenotypeR1 - 20:EnvironmentE4 -6.467e+00  1.045e+00  2.280e+02  -6.189 2.78e-09
## GenotypeR2 - 10:EnvironmentE4  2.633e+00  1.045e+00  2.280e+02   2.520 0.012409
## GenotypeR2 - 15:EnvironmentE4 -4.300e+00  1.045e+00  2.280e+02  -4.115 5.40e-05
## GenotypeR3 - 1:EnvironmentE4  -3.867e+00  1.045e+00  2.280e+02  -3.701 0.000270
## GenotypeR3 - 10:EnvironmentE4  2.733e+00  1.045e+00  2.280e+02   2.616 0.009490
## GenotypeR3 - 14:EnvironmentE4 -4.867e+00  1.045e+00  2.280e+02  -4.658 5.43e-06
## GenotypeR3 - 17:EnvironmentE4 -1.756e+00  1.045e+00  2.280e+02  -1.680 0.094286
## GenotypeR3 - 19:EnvironmentE4 -3.833e+00  1.045e+00  2.280e+02  -3.669 0.000303
## GenotypeR3 - 4:EnvironmentE4  -5.378e+00  1.045e+00  2.280e+02  -5.147 5.71e-07
## GenotypeR3 - 7:EnvironmentE4   3.000e+00  1.045e+00  2.280e+02   2.871 0.004474
## GenotypeR3 - 9:EnvironmentE4  -1.250e+00  1.045e+00  2.280e+02  -1.196 0.232801
## GenotypeR4 - 1:EnvironmentE4   2.600e+00  1.045e+00  2.280e+02   2.488 0.013547
## GenotypeR4 - 14:EnvironmentE4  3.667e-01  1.045e+00  2.280e+02   0.351 0.725965
## GenotypeR4 - 6:EnvironmentE4  -8.033e+00  1.045e+00  2.280e+02  -7.689 4.42e-13
## GenotypeR4 - 8:EnvironmentE4  -4.883e+00  1.045e+00  2.280e+02  -4.674 5.06e-06
## GenotypeSC1:EnvironmentE4      4.667e-01  1.045e+00  2.280e+02   0.447 0.655560
## GenotypeSC2:EnvironmentE4      1.833e+00  1.045e+00  2.280e+02   1.755 0.080662
## GenotypeSC3:EnvironmentE4     -2.700e+00  1.045e+00  2.280e+02  -2.584 0.010386
## GenotypeSC4:EnvironmentE4     -5.633e+00  1.045e+00  2.280e+02  -5.392 1.74e-07
## GenotypeR1 - 20:EnvironmentE5 -2.400e+00  1.045e+00  2.280e+02  -2.297 0.022526
## GenotypeR2 - 10:EnvironmentE5 -9.000e+00  1.045e+00  2.280e+02  -8.614 1.18e-15
## GenotypeR2 - 15:EnvironmentE5 -4.433e+00  1.045e+00  2.280e+02  -4.243 3.21e-05
## GenotypeR3 - 1:EnvironmentE5  -9.533e+00  1.045e+00  2.280e+02  -9.124  < 2e-16
## GenotypeR3 - 10:EnvironmentE5 -6.200e+00  1.045e+00  2.280e+02  -5.934 1.09e-08
## GenotypeR3 - 14:EnvironmentE5 -4.033e+00  1.045e+00  2.280e+02  -3.860 0.000148
## GenotypeR3 - 17:EnvironmentE5 -7.756e+00  1.045e+00  2.280e+02  -7.423 2.26e-12
## GenotypeR3 - 19:EnvironmentE5 -6.900e+00  1.045e+00  2.280e+02  -6.604 2.78e-10
## GenotypeR3 - 4:EnvironmentE5  -3.978e+00  1.045e+00  2.280e+02  -3.807 0.000181
## GenotypeR3 - 7:EnvironmentE5  -3.300e+00  1.045e+00  2.280e+02  -3.158 0.001801
## GenotypeR3 - 9:EnvironmentE5  -5.000e+00  1.045e+00  2.280e+02  -4.785 3.07e-06
## GenotypeR4 - 1:EnvironmentE5  -1.027e+01  1.045e+00  2.280e+02  -9.826  < 2e-16
## GenotypeR4 - 14:EnvironmentE5 -5.433e+00  1.045e+00  2.280e+02  -5.200 4.43e-07
## GenotypeR4 - 6:EnvironmentE5  -1.009e+01  1.045e+00  2.280e+02  -9.656  < 2e-16
## GenotypeR4 - 8:EnvironmentE5  -1.180e+01  1.045e+00  2.280e+02 -11.294  < 2e-16
## GenotypeSC1:EnvironmentE5     -7.100e+00  1.045e+00  2.280e+02  -6.795 9.32e-11
## GenotypeSC2:EnvironmentE5     -2.544e+00  1.045e+00  2.280e+02  -2.435 0.015649
## GenotypeSC3:EnvironmentE5     -4.056e+00  1.045e+00  2.280e+02  -3.882 0.000136
## GenotypeSC4:EnvironmentE5     -4.933e+00  1.045e+00  2.280e+02  -4.722 4.09e-06
## GenotypeR1 - 20:EnvironmentE6  3.433e+00  1.045e+00  2.280e+02   3.286 0.001177
## GenotypeR2 - 10:EnvironmentE6  1.333e+00  1.045e+00  2.280e+02   1.276 0.203205
## GenotypeR2 - 15:EnvironmentE6 -3.900e+00  1.045e+00  2.280e+02  -3.733 0.000239
## GenotypeR3 - 1:EnvironmentE6   1.000e-01  1.045e+00  2.280e+02   0.096 0.923825
## GenotypeR3 - 10:EnvironmentE6  6.400e+00  1.045e+00  2.280e+02   6.125 3.93e-09
## GenotypeR3 - 14:EnvironmentE6  1.233e+00  1.045e+00  2.280e+02   1.180 0.239069
## GenotypeR3 - 17:EnvironmentE6  7.111e-01  1.045e+00  2.280e+02   0.681 0.496813
## GenotypeR3 - 19:EnvironmentE6  1.147e+01  1.045e+00  2.280e+02  10.975  < 2e-16
## GenotypeR3 - 4:EnvironmentE6  -1.778e+00  1.045e+00  2.280e+02  -1.701 0.090216
## GenotypeR3 - 7:EnvironmentE6   3.667e-01  1.045e+00  2.280e+02   0.351 0.725965
## GenotypeR3 - 9:EnvironmentE6   2.883e+00  1.045e+00  2.280e+02   2.760 0.006257
## GenotypeR4 - 1:EnvironmentE6  -1.667e+00  1.045e+00  2.280e+02  -1.595 0.112068
## GenotypeR4 - 14:EnvironmentE6  3.500e+00  1.045e+00  2.280e+02   3.350 0.000946
## GenotypeR4 - 6:EnvironmentE6   4.167e+00  1.045e+00  2.280e+02   3.988 8.98e-05
## GenotypeR4 - 8:EnvironmentE6  -3.500e+00  1.045e+00  2.280e+02  -3.350 0.000946
## GenotypeSC1:EnvironmentE6     -6.667e-01  1.045e+00  2.280e+02  -0.638 0.524084
## GenotypeSC2:EnvironmentE6      4.767e+00  1.045e+00  2.280e+02   4.562 8.27e-06
## GenotypeSC3:EnvironmentE6     -3.333e-02  1.045e+00  2.280e+02  -0.032 0.974579
## GenotypeSC4:EnvironmentE6     -8.000e-01  1.045e+00  2.280e+02  -0.766 0.444669
##                                  
## (Intercept)                   ***
## GenotypeR1 - 20                  
## GenotypeR2 - 10               ***
## GenotypeR2 - 15               ***
## GenotypeR3 - 1                ***
## GenotypeR3 - 10               ***
## GenotypeR3 - 14                  
## GenotypeR3 - 17               *  
## GenotypeR3 - 19                  
## GenotypeR3 - 4                *  
## GenotypeR3 - 7                   
## GenotypeR3 - 9                   
## GenotypeR4 - 1                ***
## GenotypeR4 - 14                  
## GenotypeR4 - 6                ***
## GenotypeR4 - 8                ***
## GenotypeSC1                   ***
## GenotypeSC2                   *  
## GenotypeSC3                      
## GenotypeSC4                   .  
## EnvironmentE2                    
## EnvironmentE3                 ** 
## EnvironmentE4                 ***
## EnvironmentE5                 ***
## EnvironmentE6                 *  
## GenotypeR1 - 20:EnvironmentE2    
## GenotypeR2 - 10:EnvironmentE2 ***
## GenotypeR2 - 15:EnvironmentE2 ***
## GenotypeR3 - 1:EnvironmentE2  ***
## GenotypeR3 - 10:EnvironmentE2    
## GenotypeR3 - 14:EnvironmentE2    
## GenotypeR3 - 17:EnvironmentE2 .  
## GenotypeR3 - 19:EnvironmentE2 ** 
## GenotypeR3 - 4:EnvironmentE2     
## GenotypeR3 - 7:EnvironmentE2  ** 
## GenotypeR3 - 9:EnvironmentE2     
## GenotypeR4 - 1:EnvironmentE2     
## GenotypeR4 - 14:EnvironmentE2 *  
## GenotypeR4 - 6:EnvironmentE2     
## GenotypeR4 - 8:EnvironmentE2  ***
## GenotypeSC1:EnvironmentE2     ** 
## GenotypeSC2:EnvironmentE2     *  
## GenotypeSC3:EnvironmentE2        
## GenotypeSC4:EnvironmentE2     ** 
## GenotypeR1 - 20:EnvironmentE3 .  
## GenotypeR2 - 10:EnvironmentE3 ***
## GenotypeR2 - 15:EnvironmentE3 *  
## GenotypeR3 - 1:EnvironmentE3     
## GenotypeR3 - 10:EnvironmentE3    
## GenotypeR3 - 14:EnvironmentE3 .  
## GenotypeR3 - 17:EnvironmentE3    
## GenotypeR3 - 19:EnvironmentE3 *  
## GenotypeR3 - 4:EnvironmentE3  ***
## GenotypeR3 - 7:EnvironmentE3  ***
## GenotypeR3 - 9:EnvironmentE3     
## GenotypeR4 - 1:EnvironmentE3  ** 
## GenotypeR4 - 14:EnvironmentE3 ***
## GenotypeR4 - 6:EnvironmentE3  ***
## GenotypeR4 - 8:EnvironmentE3  ***
## GenotypeSC1:EnvironmentE3     ***
## GenotypeSC2:EnvironmentE3        
## GenotypeSC3:EnvironmentE3        
## GenotypeSC4:EnvironmentE3     .  
## GenotypeR1 - 20:EnvironmentE4 ***
## GenotypeR2 - 10:EnvironmentE4 *  
## GenotypeR2 - 15:EnvironmentE4 ***
## GenotypeR3 - 1:EnvironmentE4  ***
## GenotypeR3 - 10:EnvironmentE4 ** 
## GenotypeR3 - 14:EnvironmentE4 ***
## GenotypeR3 - 17:EnvironmentE4 .  
## GenotypeR3 - 19:EnvironmentE4 ***
## GenotypeR3 - 4:EnvironmentE4  ***
## GenotypeR3 - 7:EnvironmentE4  ** 
## GenotypeR3 - 9:EnvironmentE4     
## GenotypeR4 - 1:EnvironmentE4  *  
## GenotypeR4 - 14:EnvironmentE4    
## GenotypeR4 - 6:EnvironmentE4  ***
## GenotypeR4 - 8:EnvironmentE4  ***
## GenotypeSC1:EnvironmentE4        
## GenotypeSC2:EnvironmentE4     .  
## GenotypeSC3:EnvironmentE4     *  
## GenotypeSC4:EnvironmentE4     ***
## GenotypeR1 - 20:EnvironmentE5 *  
## GenotypeR2 - 10:EnvironmentE5 ***
## GenotypeR2 - 15:EnvironmentE5 ***
## GenotypeR3 - 1:EnvironmentE5  ***
## GenotypeR3 - 10:EnvironmentE5 ***
## GenotypeR3 - 14:EnvironmentE5 ***
## GenotypeR3 - 17:EnvironmentE5 ***
## GenotypeR3 - 19:EnvironmentE5 ***
## GenotypeR3 - 4:EnvironmentE5  ***
## GenotypeR3 - 7:EnvironmentE5  ** 
## GenotypeR3 - 9:EnvironmentE5  ***
## GenotypeR4 - 1:EnvironmentE5  ***
## GenotypeR4 - 14:EnvironmentE5 ***
## GenotypeR4 - 6:EnvironmentE5  ***
## GenotypeR4 - 8:EnvironmentE5  ***
## GenotypeSC1:EnvironmentE5     ***
## GenotypeSC2:EnvironmentE5     *  
## GenotypeSC3:EnvironmentE5     ***
## GenotypeSC4:EnvironmentE5     ***
## GenotypeR1 - 20:EnvironmentE6 ** 
## GenotypeR2 - 10:EnvironmentE6    
## GenotypeR2 - 15:EnvironmentE6 ***
## GenotypeR3 - 1:EnvironmentE6     
## GenotypeR3 - 10:EnvironmentE6 ***
## GenotypeR3 - 14:EnvironmentE6    
## GenotypeR3 - 17:EnvironmentE6    
## GenotypeR3 - 19:EnvironmentE6 ***
## GenotypeR3 - 4:EnvironmentE6  .  
## GenotypeR3 - 7:EnvironmentE6     
## GenotypeR3 - 9:EnvironmentE6  ** 
## GenotypeR4 - 1:EnvironmentE6     
## GenotypeR4 - 14:EnvironmentE6 ***
## GenotypeR4 - 6:EnvironmentE6  ***
## GenotypeR4 - 8:EnvironmentE6  ***
## GenotypeSC1:EnvironmentE6        
## GenotypeSC2:EnvironmentE6     ***
## GenotypeSC3:EnvironmentE6        
## GenotypeSC4:EnvironmentE6        
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Correlation matrix not shown by default, as p = 120 > 12.
## Use print(x, correlation=TRUE)  or
##     vcov(x)        if you need it
summary(model_biomass)
## Linear mixed model fit by REML. t-tests use Satterthwaite's method [
## lmerModLmerTest]
## Formula: Biomass ~ Genotype * Environment + (1 | Environment:Replications)
##    Data: data
## 
## REML criterion at convergence: 3081.2
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -2.9173 -0.3683  0.0200  0.3334  2.4094 
## 
## Random effects:
##  Groups                   Name        Variance Std.Dev.
##  Environment:Replications (Intercept)   918.7   30.31  
##  Residual                             12150.9  110.23  
## Number of obs: 360, groups:  Environment:Replications, 18
## 
## Fixed effects:
##                               Estimate Std. Error       df t value Pr(>|t|)    
## (Intercept)                    929.667     66.004  219.402  14.085  < 2e-16 ***
## GenotypeR1 - 20                -56.333     90.003  228.000  -0.626 0.532005    
## GenotypeR2 - 10                596.833     90.003  228.000   6.631 2.38e-10 ***
## GenotypeR2 - 15               -289.833     90.003  228.000  -3.220 0.001468 ** 
## GenotypeR3 - 1                 233.333     90.003  228.000   2.592 0.010144 *  
## GenotypeR3 - 10                -50.000     90.003  228.000  -0.556 0.579074    
## GenotypeR3 - 14                503.667     90.003  228.000   5.596 6.26e-08 ***
## GenotypeR3 - 17                139.000     90.003  228.000   1.544 0.123882    
## GenotypeR3 - 19                -65.333     90.003  228.000  -0.726 0.468645    
## GenotypeR3 - 4                 223.167     90.003  228.000   2.480 0.013879 *  
## GenotypeR3 - 7                  69.583     90.003  228.000   0.773 0.440253    
## GenotypeR3 - 9                 -65.833     90.003  228.000  -0.731 0.465253    
## GenotypeR4 - 1                 575.333     90.003  228.000   6.392 9.12e-10 ***
## GenotypeR4 - 14               -192.317     90.003  228.000  -2.137 0.033682 *  
## GenotypeR4 - 6                 150.833     90.003  228.000   1.676 0.095136 .  
## GenotypeR4 - 8                 581.833     90.003  228.000   6.465 6.10e-10 ***
## GenotypeSC1                    339.667     90.003  228.000   3.774 0.000205 ***
## GenotypeSC2                    341.583     90.003  228.000   3.795 0.000189 ***
## GenotypeSC3                    385.333     90.003  228.000   4.281 2.74e-05 ***
## GenotypeSC4                    215.500     90.003  228.000   2.394 0.017459 *  
## EnvironmentE2                 -167.500     93.344  219.402  -1.794 0.074120 .  
## EnvironmentE3                 -334.250     93.344  219.402  -3.581 0.000422 ***
## EnvironmentE4                 -234.667     93.344  219.402  -2.514 0.012655 *  
## EnvironmentE5                 -650.667     93.344  219.402  -6.971 3.65e-11 ***
## EnvironmentE6                 -788.667     93.344  219.402  -8.449 4.07e-15 ***
## GenotypeR1 - 20:EnvironmentE2  101.917    127.284  228.000   0.801 0.424137    
## GenotypeR2 - 10:EnvironmentE2 -168.850    127.284  228.000  -1.327 0.185981    
## GenotypeR2 - 15:EnvironmentE2  169.667    127.284  228.000   1.333 0.183870    
## GenotypeR3 - 1:EnvironmentE2  -302.667    127.284  228.000  -2.378 0.018238 *  
## GenotypeR3 - 10:EnvironmentE2  205.083    127.284  228.000   1.611 0.108514    
## GenotypeR3 - 14:EnvironmentE2 -728.833    127.284  228.000  -5.726 3.22e-08 ***
## GenotypeR3 - 17:EnvironmentE2 -358.167    127.284  228.000  -2.814 0.005322 ** 
## GenotypeR3 - 19:EnvironmentE2  356.167    127.284  228.000   2.798 0.005578 ** 
## GenotypeR3 - 4:EnvironmentE2   -56.000    127.284  228.000  -0.440 0.660382    
## GenotypeR3 - 7:EnvironmentE2    76.417    127.284  228.000   0.600 0.548860    
## GenotypeR3 - 9:EnvironmentE2   243.917    127.284  228.000   1.916 0.056575 .  
## GenotypeR4 - 1:EnvironmentE2    -8.000    127.284  228.000  -0.063 0.949940    
## GenotypeR4 - 14:EnvironmentE2  286.150    127.284  228.000   2.248 0.025525 *  
## GenotypeR4 - 6:EnvironmentE2  -299.333    127.284  228.000  -2.352 0.019540 *  
## GenotypeR4 - 8:EnvironmentE2  -533.850    127.284  228.000  -4.194 3.92e-05 ***
## GenotypeSC1:EnvironmentE2     -310.167    127.284  228.000  -2.437 0.015584 *  
## GenotypeSC2:EnvironmentE2     -576.583    127.284  228.000  -4.530 9.52e-06 ***
## GenotypeSC3:EnvironmentE2     -367.000    127.284  228.000  -2.883 0.004312 ** 
## GenotypeSC4:EnvironmentE2     -356.000    127.284  228.000  -2.797 0.005600 ** 
## GenotypeR1 - 20:EnvironmentE3  285.917    127.284  228.000   2.246 0.025644 *  
## GenotypeR2 - 10:EnvironmentE3 -525.250    127.284  228.000  -4.127 5.16e-05 ***
## GenotypeR2 - 15:EnvironmentE3  701.917    127.284  228.000   5.515 9.44e-08 ***
## GenotypeR3 - 1:EnvironmentE3   115.250    127.284  228.000   0.905 0.366180    
## GenotypeR3 - 10:EnvironmentE3  406.583    127.284  228.000   3.194 0.001600 ** 
## GenotypeR3 - 14:EnvironmentE3 -267.333    127.284  228.000  -2.100 0.036802 *  
## GenotypeR3 - 17:EnvironmentE3  192.167    127.284  228.000   1.510 0.132492    
## GenotypeR3 - 19:EnvironmentE3  243.750    127.284  228.000   1.915 0.056743 .  
## GenotypeR3 - 4:EnvironmentE3   112.667    127.284  228.000   0.885 0.377003    
## GenotypeR3 - 7:EnvironmentE3   348.667    127.284  228.000   2.739 0.006644 ** 
## GenotypeR3 - 9:EnvironmentE3   241.083    127.284  228.000   1.894 0.059483 .  
## GenotypeR4 - 1:EnvironmentE3  -621.417    127.284  228.000  -4.882 1.97e-06 ***
## GenotypeR4 - 14:EnvironmentE3  615.233    127.284  228.000   4.834 2.46e-06 ***
## GenotypeR4 - 6:EnvironmentE3  -284.750    127.284  228.000  -2.237 0.026246 *  
## GenotypeR4 - 8:EnvironmentE3  -343.250    127.284  228.000  -2.697 0.007525 ** 
## GenotypeSC1:EnvironmentE3     -156.417    127.284  228.000  -1.229 0.220384    
## GenotypeSC2:EnvironmentE3     -282.667    127.284  228.000  -2.221 0.027351 *  
## GenotypeSC3:EnvironmentE3      105.750    127.284  228.000   0.831 0.406945    
## GenotypeSC4:EnvironmentE3       10.583    127.284  228.000   0.083 0.933807    
## GenotypeR1 - 20:EnvironmentE4 -408.667    127.284  228.000  -3.211 0.001515 ** 
## GenotypeR2 - 10:EnvironmentE4 -690.833    127.284  228.000  -5.427 1.46e-07 ***
## GenotypeR2 - 15:EnvironmentE4  508.833    127.284  228.000   3.998 8.64e-05 ***
## GenotypeR3 - 1:EnvironmentE4  -114.583    127.284  228.000  -0.900 0.368954    
## GenotypeR3 - 10:EnvironmentE4 -444.500    127.284  228.000  -3.492 0.000575 ***
## GenotypeR3 - 14:EnvironmentE4 -792.667    127.284  228.000  -6.228 2.26e-09 ***
## GenotypeR3 - 17:EnvironmentE4 -594.000    127.284  228.000  -4.667 5.22e-06 ***
## GenotypeR3 - 19:EnvironmentE4 -298.667    127.284  228.000  -2.346 0.019810 *  
## GenotypeR3 - 4:EnvironmentE4  -363.500    127.284  228.000  -2.856 0.004689 ** 
## GenotypeR3 - 7:EnvironmentE4  -367.583    127.284  228.000  -2.888 0.004251 ** 
## GenotypeR3 - 9:EnvironmentE4  -282.667    127.284  228.000  -2.221 0.027351 *  
## GenotypeR4 - 1:EnvironmentE4  -585.333    127.284  228.000  -4.599 7.05e-06 ***
## GenotypeR4 - 14:EnvironmentE4  -61.850    127.284  228.000  -0.486 0.627490    
## GenotypeR4 - 6:EnvironmentE4  -555.833    127.284  228.000  -4.367 1.91e-05 ***
## GenotypeR4 - 8:EnvironmentE4  -769.833    127.284  228.000  -6.048 5.94e-09 ***
## GenotypeSC1:EnvironmentE4     -550.667    127.284  228.000  -4.326 2.27e-05 ***
## GenotypeSC2:EnvironmentE4     -617.583    127.284  228.000  -4.852 2.27e-06 ***
## GenotypeSC3:EnvironmentE4     -547.833    127.284  228.000  -4.304 2.49e-05 ***
## GenotypeSC4:EnvironmentE4      -58.333    127.284  228.000  -0.458 0.647179    
## GenotypeR1 - 20:EnvironmentE5  222.833    127.284  228.000   1.751 0.081346 .  
## GenotypeR2 - 10:EnvironmentE5 -618.833    127.284  228.000  -4.862 2.17e-06 ***
## GenotypeR2 - 15:EnvironmentE5  554.833    127.284  228.000   4.359 1.98e-05 ***
## GenotypeR3 - 1:EnvironmentE5  -145.167    127.284  228.000  -1.140 0.255277    
## GenotypeR3 - 10:EnvironmentE5   -6.000    127.284  228.000  -0.047 0.962444    
## GenotypeR3 - 14:EnvironmentE5 -424.167    127.284  228.000  -3.332 0.001004 ** 
## GenotypeR3 - 17:EnvironmentE5   25.500    127.284  228.000   0.200 0.841394    
## GenotypeR3 - 19:EnvironmentE5  -69.167    127.284  228.000  -0.543 0.587382    
## GenotypeR3 - 4:EnvironmentE5   -31.917    127.284  228.000  -0.251 0.802232    
## GenotypeR3 - 7:EnvironmentE5   223.917    127.284  228.000   1.759 0.079887 .  
## GenotypeR3 - 9:EnvironmentE5   228.833    127.284  228.000   1.798 0.073529 .  
## GenotypeR4 - 1:EnvironmentE5  -258.833    127.284  228.000  -2.034 0.043159 *  
## GenotypeR4 - 14:EnvironmentE5  151.817    127.284  228.000   1.193 0.234211    
## GenotypeR4 - 6:EnvironmentE5     9.167    127.284  228.000   0.072 0.942651    
## GenotypeR4 - 8:EnvironmentE5  -705.667    127.284  228.000  -5.544 8.15e-08 ***
## GenotypeSC1:EnvironmentE5     -182.667    127.284  228.000  -1.435 0.152626    
## GenotypeSC2:EnvironmentE5     -345.583    127.284  228.000  -2.715 0.007134 ** 
## GenotypeSC3:EnvironmentE5     -356.333    127.284  228.000  -2.800 0.005557 ** 
## GenotypeSC4:EnvironmentE5      -24.333    127.284  228.000  -0.191 0.848560    
## GenotypeR1 - 20:EnvironmentE6  372.083    127.284  228.000   2.923 0.003813 ** 
## GenotypeR2 - 10:EnvironmentE6  -63.833    127.284  228.000  -0.502 0.616501    
## GenotypeR2 - 15:EnvironmentE6  356.333    127.284  228.000   2.800 0.005557 ** 
## GenotypeR3 - 1:EnvironmentE6   -48.833    127.284  228.000  -0.384 0.701591    
## GenotypeR3 - 10:EnvironmentE6  476.833    127.284  228.000   3.746 0.000227 ***
## GenotypeR3 - 14:EnvironmentE6 -404.833    127.284  228.000  -3.181 0.001674 ** 
## GenotypeR3 - 17:EnvironmentE6   27.833    127.284  228.000   0.219 0.827102    
## GenotypeR3 - 19:EnvironmentE6  750.833    127.284  228.000   5.899 1.31e-08 ***
## GenotypeR3 - 4:EnvironmentE6   315.833    127.284  228.000   2.481 0.013812 *  
## GenotypeR3 - 7:EnvironmentE6   -95.583    127.284  228.000  -0.751 0.453460    
## GenotypeR3 - 9:EnvironmentE6   174.833    127.284  228.000   1.374 0.170925    
## GenotypeR4 - 1:EnvironmentE6  -429.333    127.284  228.000  -3.373 0.000873 ***
## GenotypeR4 - 14:EnvironmentE6  242.817    127.284  228.000   1.908 0.057690 .  
## GenotypeR4 - 6:EnvironmentE6   229.667    127.284  228.000   1.804 0.072494 .  
## GenotypeR4 - 8:EnvironmentE6  -361.083    127.284  228.000  -2.837 0.004967 ** 
## GenotypeSC1:EnvironmentE6     -298.667    127.284  228.000  -2.346 0.019810 *  
## GenotypeSC2:EnvironmentE6     -377.583    127.284  228.000  -2.966 0.003333 ** 
## GenotypeSC3:EnvironmentE6     -387.333    127.284  228.000  -3.043 0.002616 ** 
## GenotypeSC4:EnvironmentE6     -210.500    127.284  228.000  -1.654 0.099548 .  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Correlation matrix not shown by default, as p = 120 > 12.
## Use print(x, correlation=TRUE)  or
##     vcov(x)        if you need it

================================================================

SELESAI

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