Results

The soil is not compacted. The interaction between mechanical treatment and cover crop is almost significant in 20-25 cm. Row as a factor does not improve the model.

5 - 10 cm

                
                 Fodder radish Black oats Tall fescue
  Ref                        3          3           3
  Compost                    0          0           0
  LB                         3          3           3
  LB extensive               0          0           0
  LB Sand                    0          0           0
  SB                         3          3           3
  SS                         3          3           3
  SS Caterpillar             0          0           0


    studentized Breusch-Pagan test

data:  md
BP = 19.211, df = 12, p-value = 0.08356

Call:
lm(formula = bulk_gew_g_cm3 ~ ondgr_bw * gr_bem + blok, data = dataset.5.10cm)

Coefficients:
                 (Intercept)                    ondgr_bwLB  
                     1.41275                      -0.05300  
                  ondgr_bwSB                    ondgr_bwSS  
                    -0.07667                      -0.05733  
            gr_bemBlack oats             gr_bemTall fescue  
                    -0.07233                      -0.01967  
                        blok   ondgr_bwLB:gr_bemBlack oats  
                    -0.01788                       0.05867  
 ondgr_bwSB:gr_bemBlack oats   ondgr_bwSS:gr_bemBlack oats  
                     0.08900                       0.07733  
ondgr_bwLB:gr_bemTall fescue  ondgr_bwSB:gr_bemTall fescue  
                     0.06200                       0.04233  
ondgr_bwSS:gr_bemTall fescue  
                     0.01033  
Analysis of Variance Table

Response: bulk_gew_g_cm3
                Df   Sum Sq   Mean Sq F value Pr(>F)
ondgr_bw         3 0.006070 0.0020232  0.7485 0.5343
gr_bem           2 0.003875 0.0019377  0.7168 0.4989
blok             1 0.007668 0.0076684  2.8369 0.1056
ondgr_bw:gr_bem  6 0.010777 0.0017962  0.6645 0.6789
Residuals       23 0.062171 0.0027031               


    Shapiro-Wilk normality test

data:  resid(md)
W = 0.97945, p-value = 0.727
$emmeans
 ondgr_bw gr_bem        emmean   SE df lower.CL upper.CL
 Ref      Fodder radish   1.38 0.03 23     1.31     1.44
 LB       Fodder radish   1.32 0.03 23     1.26     1.39
 SB       Fodder radish   1.30 0.03 23     1.24     1.36
 SS       Fodder radish   1.32 0.03 23     1.26     1.38
 Ref      Black oats      1.30 0.03 23     1.24     1.37
 LB       Black oats      1.31 0.03 23     1.25     1.37
 SB       Black oats      1.32 0.03 23     1.25     1.38
 SS       Black oats      1.32 0.03 23     1.26     1.39
 Ref      Tall fescue     1.36 0.03 23     1.30     1.42
 LB       Tall fescue     1.37 0.03 23     1.30     1.43
 SB       Tall fescue     1.32 0.03 23     1.26     1.39
 SS       Tall fescue     1.31 0.03 23     1.25     1.37

Confidence level used: 0.95 

$contrasts
 contrast                              estimate     SE df t.ratio p.value
 Ref Fodder radish - LB Fodder radish  0.053000 0.0425 23   1.249  0.9781
 Ref Fodder radish - SB Fodder radish  0.076667 0.0425 23   1.806  0.7993
 Ref Fodder radish - SS Fodder radish  0.057333 0.0425 23   1.351  0.9621
 Ref Fodder radish - Ref Black oats    0.072333 0.0425 23   1.704  0.8491
 Ref Fodder radish - LB Black oats     0.066667 0.0425 23   1.570  0.9030
 Ref Fodder radish - SB Black oats     0.060000 0.0425 23   1.413  0.9489
 Ref Fodder radish - SS Black oats     0.052333 0.0425 23   1.233  0.9800
 Ref Fodder radish - Ref Tall fescue   0.019667 0.0425 23   0.463  1.0000
 Ref Fodder radish - LB Tall fescue    0.010667 0.0425 23   0.251  1.0000
 Ref Fodder radish - SB Tall fescue    0.054000 0.0425 23   1.272  0.9750
 Ref Fodder radish - SS Tall fescue    0.066667 0.0425 23   1.570  0.9030
 LB Fodder radish - SB Fodder radish   0.023667 0.0425 23   0.558  1.0000
 LB Fodder radish - SS Fodder radish   0.004333 0.0425 23   0.102  1.0000
 LB Fodder radish - Ref Black oats     0.019333 0.0425 23   0.455  1.0000
 LB Fodder radish - LB Black oats      0.013667 0.0425 23   0.322  1.0000
 LB Fodder radish - SB Black oats      0.007000 0.0425 23   0.165  1.0000
 LB Fodder radish - SS Black oats     -0.000667 0.0425 23  -0.016  1.0000
 LB Fodder radish - Ref Tall fescue   -0.033333 0.0425 23  -0.785  0.9995
 LB Fodder radish - LB Tall fescue    -0.042333 0.0425 23  -0.997  0.9962
 LB Fodder radish - SB Tall fescue     0.001000 0.0425 23   0.024  1.0000
 LB Fodder radish - SS Tall fescue     0.013667 0.0425 23   0.322  1.0000
 SB Fodder radish - SS Fodder radish  -0.019333 0.0425 23  -0.455  1.0000
 SB Fodder radish - Ref Black oats    -0.004333 0.0425 23  -0.102  1.0000
 SB Fodder radish - LB Black oats     -0.010000 0.0425 23  -0.236  1.0000
 SB Fodder radish - SB Black oats     -0.016667 0.0425 23  -0.393  1.0000
 SB Fodder radish - SS Black oats     -0.024333 0.0425 23  -0.573  1.0000
 SB Fodder radish - Ref Tall fescue   -0.057000 0.0425 23  -1.343  0.9636
 SB Fodder radish - LB Tall fescue    -0.066000 0.0425 23  -1.555  0.9085
 SB Fodder radish - SB Tall fescue    -0.022667 0.0425 23  -0.534  1.0000
 SB Fodder radish - SS Tall fescue    -0.010000 0.0425 23  -0.236  1.0000
 SS Fodder radish - Ref Black oats     0.015000 0.0425 23   0.353  1.0000
 SS Fodder radish - LB Black oats      0.009333 0.0425 23   0.220  1.0000
 SS Fodder radish - SB Black oats      0.002667 0.0425 23   0.063  1.0000
 SS Fodder radish - SS Black oats     -0.005000 0.0425 23  -0.118  1.0000
 SS Fodder radish - Ref Tall fescue   -0.037667 0.0425 23  -0.887  0.9986
 SS Fodder radish - LB Tall fescue    -0.046667 0.0425 23  -1.099  0.9916
 SS Fodder radish - SB Tall fescue    -0.003333 0.0425 23  -0.079  1.0000
 SS Fodder radish - SS Tall fescue     0.009333 0.0425 23   0.220  1.0000
 Ref Black oats - LB Black oats       -0.005667 0.0425 23  -0.133  1.0000
 Ref Black oats - SB Black oats       -0.012333 0.0425 23  -0.291  1.0000
 Ref Black oats - SS Black oats       -0.020000 0.0425 23  -0.471  1.0000
 Ref Black oats - Ref Tall fescue     -0.052667 0.0425 23  -1.241  0.9791
 Ref Black oats - LB Tall fescue      -0.061667 0.0425 23  -1.453  0.9392
 Ref Black oats - SB Tall fescue      -0.018333 0.0425 23  -0.432  1.0000
 Ref Black oats - SS Tall fescue      -0.005667 0.0425 23  -0.133  1.0000
 LB Black oats - SB Black oats        -0.006667 0.0425 23  -0.157  1.0000
 LB Black oats - SS Black oats        -0.014333 0.0425 23  -0.338  1.0000
 LB Black oats - Ref Tall fescue      -0.047000 0.0425 23  -1.107  0.9911
 LB Black oats - LB Tall fescue       -0.056000 0.0425 23  -1.319  0.9677
 LB Black oats - SB Tall fescue       -0.012667 0.0425 23  -0.298  1.0000
 LB Black oats - SS Tall fescue        0.000000 0.0425 23   0.000  1.0000
 SB Black oats - SS Black oats        -0.007667 0.0425 23  -0.181  1.0000
 SB Black oats - Ref Tall fescue      -0.040333 0.0425 23  -0.950  0.9975
 SB Black oats - LB Tall fescue       -0.049333 0.0425 23  -1.162  0.9871
 SB Black oats - SB Tall fescue       -0.006000 0.0425 23  -0.141  1.0000
 SB Black oats - SS Tall fescue        0.006667 0.0425 23   0.157  1.0000
 SS Black oats - Ref Tall fescue      -0.032667 0.0425 23  -0.770  0.9996
 SS Black oats - LB Tall fescue       -0.041667 0.0425 23  -0.982  0.9967
 SS Black oats - SB Tall fescue        0.001667 0.0425 23   0.039  1.0000
 SS Black oats - SS Tall fescue        0.014333 0.0425 23   0.338  1.0000
 Ref Tall fescue - LB Tall fescue     -0.009000 0.0425 23  -0.212  1.0000
 Ref Tall fescue - SB Tall fescue      0.034333 0.0425 23   0.809  0.9994
 Ref Tall fescue - SS Tall fescue      0.047000 0.0425 23   1.107  0.9911
 LB Tall fescue - SB Tall fescue       0.043333 0.0425 23   1.021  0.9954
 LB Tall fescue - SS Tall fescue       0.056000 0.0425 23   1.319  0.9677
 SB Tall fescue - SS Tall fescue       0.012667 0.0425 23   0.298  1.0000

P value adjustment: tukey method for comparing a family of 12 estimates 

20-25 cm

                
                 Fodder radish Black oats Tall fescue
  Ref                        3          3           3
  Compost                    0          0           0
  LB                         3          3           3
  LB extensive               0          0           0
  LB Sand                    0          0           0
  SB                         3          3           3
  SS                         3          3           3
  SS Caterpillar             0          0           0


Call:
lm(formula = bulk_gew_g_cm3 ~ ondgr_bw * gr_bem + blok, data = dataset.20.25cm)

Coefficients:
                 (Intercept)                    ondgr_bwLB  
                    1.381917                     -0.033000  
                  ondgr_bwSB                    ondgr_bwSS  
                   -0.030000                      0.057000  
            gr_bemBlack oats             gr_bemTall fescue  
                   -0.047000                      0.024667  
                        blok   ondgr_bwLB:gr_bemBlack oats  
                    0.002375                      0.110333  
 ondgr_bwSB:gr_bemBlack oats   ondgr_bwSS:gr_bemBlack oats  
                    0.153667                      0.019000  
ondgr_bwLB:gr_bemTall fescue  ondgr_bwSB:gr_bemTall fescue  
                    0.053667                      0.038333  
ondgr_bwSS:gr_bemTall fescue  
                   -0.093000  
Analysis of Variance Table

Response: bulk_gew_g_cm3
                Df   Sum Sq   Mean Sq F value  Pr(>F)  
ondgr_bw         3 0.006614 0.0022047  0.7970 0.50816  
gr_bem           2 0.004643 0.0023214  0.8392 0.44487  
blok             1 0.000135 0.0001354  0.0489 0.82687  
ondgr_bw:gr_bem  6 0.038017 0.0063361  2.2905 0.07025 .
Residuals       23 0.063623 0.0027662                  
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1


    Shapiro-Wilk normality test

data:  resid(md)
W = 0.96915, p-value = 0.4028
$emmeans
 ondgr_bw gr_bem        emmean     SE df lower.CL upper.CL
 Ref      Fodder radish   1.39 0.0304 23     1.32     1.45
 LB       Fodder radish   1.35 0.0304 23     1.29     1.42
 SB       Fodder radish   1.36 0.0304 23     1.29     1.42
 SS       Fodder radish   1.44 0.0304 23     1.38     1.51
 Ref      Black oats      1.34 0.0304 23     1.28     1.40
 LB       Black oats      1.42 0.0304 23     1.35     1.48
 SB       Black oats      1.46 0.0304 23     1.40     1.53
 SS       Black oats      1.42 0.0304 23     1.35     1.48
 Ref      Tall fescue     1.41 0.0304 23     1.35     1.47
 LB       Tall fescue     1.43 0.0304 23     1.37     1.49
 SB       Tall fescue     1.42 0.0304 23     1.36     1.48
 SS       Tall fescue     1.38 0.0304 23     1.31     1.44

Confidence level used: 0.95 

$contrasts
 contrast                             estimate     SE df t.ratio p.value
 Ref Fodder radish - LB Fodder radish  0.03300 0.0429 23   0.768  0.9996
 Ref Fodder radish - SB Fodder radish  0.03000 0.0429 23   0.699  0.9998
 Ref Fodder radish - SS Fodder radish -0.05700 0.0429 23  -1.327  0.9663
 Ref Fodder radish - Ref Black oats    0.04700 0.0429 23   1.094  0.9919
 Ref Fodder radish - LB Black oats    -0.03033 0.0429 23  -0.706  0.9998
 Ref Fodder radish - SB Black oats    -0.07667 0.0429 23  -1.785  0.8100
 Ref Fodder radish - SS Black oats    -0.02900 0.0429 23  -0.675  0.9999
 Ref Fodder radish - Ref Tall fescue  -0.02467 0.0429 23  -0.574  1.0000
 Ref Fodder radish - LB Tall fescue   -0.04533 0.0429 23  -1.056  0.9939
 Ref Fodder radish - SB Tall fescue   -0.03300 0.0429 23  -0.768  0.9996
 Ref Fodder radish - SS Tall fescue    0.01133 0.0429 23   0.264  1.0000
 LB Fodder radish - SB Fodder radish  -0.00300 0.0429 23  -0.070  1.0000
 LB Fodder radish - SS Fodder radish  -0.09000 0.0429 23  -2.096  0.6303
 LB Fodder radish - Ref Black oats     0.01400 0.0429 23   0.326  1.0000
 LB Fodder radish - LB Black oats     -0.06333 0.0429 23  -1.475  0.9332
 LB Fodder radish - SB Black oats     -0.10967 0.0429 23  -2.554  0.3577
 LB Fodder radish - SS Black oats     -0.06200 0.0429 23  -1.444  0.9415
 LB Fodder radish - Ref Tall fescue   -0.05767 0.0429 23  -1.343  0.9635
 LB Fodder radish - LB Tall fescue    -0.07833 0.0429 23  -1.824  0.7898
 LB Fodder radish - SB Tall fescue    -0.06600 0.0429 23  -1.537  0.9144
 LB Fodder radish - SS Tall fescue    -0.02167 0.0429 23  -0.505  1.0000
 SB Fodder radish - SS Fodder radish  -0.08700 0.0429 23  -2.026  0.6734
 SB Fodder radish - Ref Black oats     0.01700 0.0429 23   0.396  1.0000
 SB Fodder radish - LB Black oats     -0.06033 0.0429 23  -1.405  0.9508
 SB Fodder radish - SB Black oats     -0.10667 0.0429 23  -2.484  0.3954
 SB Fodder radish - SS Black oats     -0.05900 0.0429 23  -1.374  0.9575
 SB Fodder radish - Ref Tall fescue   -0.05467 0.0429 23  -1.273  0.9748
 SB Fodder radish - LB Tall fescue    -0.07533 0.0429 23  -1.754  0.8254
 SB Fodder radish - SB Tall fescue    -0.06300 0.0429 23  -1.467  0.9353
 SB Fodder radish - SS Tall fescue    -0.01867 0.0429 23  -0.435  1.0000
 SS Fodder radish - Ref Black oats     0.10400 0.0429 23   2.422  0.4305
 SS Fodder radish - LB Black oats      0.02667 0.0429 23   0.621  1.0000
 SS Fodder radish - SB Black oats     -0.01967 0.0429 23  -0.458  1.0000
 SS Fodder radish - SS Black oats      0.02800 0.0429 23   0.652  0.9999
 SS Fodder radish - Ref Tall fescue    0.03233 0.0429 23   0.753  0.9997
 SS Fodder radish - LB Tall fescue     0.01167 0.0429 23   0.272  1.0000
 SS Fodder radish - SB Tall fescue     0.02400 0.0429 23   0.559  1.0000
 SS Fodder radish - SS Tall fescue     0.06833 0.0429 23   1.591  0.8955
 Ref Black oats - LB Black oats       -0.07733 0.0429 23  -1.801  0.8020
 Ref Black oats - SB Black oats       -0.12367 0.0429 23  -2.880  0.2121
 Ref Black oats - SS Black oats       -0.07600 0.0429 23  -1.770  0.8178
 Ref Black oats - Ref Tall fescue     -0.07167 0.0429 23  -1.669  0.8646
 Ref Black oats - LB Tall fescue      -0.09233 0.0429 23  -2.150  0.5963
 Ref Black oats - SB Tall fescue      -0.08000 0.0429 23  -1.863  0.7688
 Ref Black oats - SS Tall fescue      -0.03567 0.0429 23  -0.831  0.9992
 LB Black oats - SB Black oats        -0.04633 0.0429 23  -1.079  0.9928
 LB Black oats - SS Black oats         0.00133 0.0429 23   0.031  1.0000
 LB Black oats - Ref Tall fescue       0.00567 0.0429 23   0.132  1.0000
 LB Black oats - LB Tall fescue       -0.01500 0.0429 23  -0.349  1.0000
 LB Black oats - SB Tall fescue       -0.00267 0.0429 23  -0.062  1.0000
 LB Black oats - SS Tall fescue        0.04167 0.0429 23   0.970  0.9970
 SB Black oats - SS Black oats         0.04767 0.0429 23   1.110  0.9910
 SB Black oats - Ref Tall fescue       0.05200 0.0429 23   1.211  0.9825
 SB Black oats - LB Tall fescue        0.03133 0.0429 23   0.730  0.9998
 SB Black oats - SB Tall fescue        0.04367 0.0429 23   1.017  0.9955
 SB Black oats - SS Tall fescue        0.08800 0.0429 23   2.049  0.6591
 SS Black oats - Ref Tall fescue       0.00433 0.0429 23   0.101  1.0000
 SS Black oats - LB Tall fescue       -0.01633 0.0429 23  -0.380  1.0000
 SS Black oats - SB Tall fescue       -0.00400 0.0429 23  -0.093  1.0000
 SS Black oats - SS Tall fescue        0.04033 0.0429 23   0.939  0.9977
 Ref Tall fescue - LB Tall fescue     -0.02067 0.0429 23  -0.481  1.0000
 Ref Tall fescue - SB Tall fescue     -0.00833 0.0429 23  -0.194  1.0000
 Ref Tall fescue - SS Tall fescue      0.03600 0.0429 23   0.838  0.9992
 LB Tall fescue - SB Tall fescue       0.01233 0.0429 23   0.287  1.0000
 LB Tall fescue - SS Tall fescue       0.05667 0.0429 23   1.320  0.9676
 SB Tall fescue - SS Tall fescue       0.04433 0.0429 23   1.032  0.9950

P value adjustment: tukey method for comparing a family of 12 estimates 

Table

wortels_loof ondgr_bw gr_bem name
grond 20-25 cm Ref Fodder radish 1.386667
grond 20-25 cm Ref Black oats 1.339667
grond 20-25 cm Ref Tall fescue 1.411333
grond 20-25 cm Ref NA 1.407000
grond 20-25 cm Compost NA 1.388500
grond 20-25 cm LB Fodder radish 1.353667
grond 20-25 cm LB Black oats 1.417000
grond 20-25 cm LB Tall fescue 1.432000
grond 20-25 cm LB extensive NA 1.419500
grond 20-25 cm LB Sand NA 1.409000
grond 20-25 cm SB Fodder radish 1.356667
grond 20-25 cm SB Black oats 1.463333
grond 20-25 cm SB Tall fescue 1.419667
grond 20-25 cm SS Fodder radish 1.443667
grond 20-25 cm SS Black oats 1.415667
grond 20-25 cm SS Tall fescue 1.375333
grond 20-25 cm SS Caterpillar NA 1.450333
grond 5-10 cm Ref Fodder radish 1.377000
grond 5-10 cm Ref Black oats 1.304667
grond 5-10 cm Ref Tall fescue 1.357333
grond 5-10 cm Ref NA 1.289500
grond 5-10 cm Compost NA 1.297000
grond 5-10 cm LB Fodder radish 1.324000
grond 5-10 cm LB Black oats 1.310333
grond 5-10 cm LB Tall fescue 1.366333
grond 5-10 cm LB extensive NA 1.314000
grond 5-10 cm LB Sand NA 1.304000
grond 5-10 cm SB Fodder radish 1.300333
grond 5-10 cm SB Black oats 1.317000
grond 5-10 cm SB Tall fescue 1.323000
grond 5-10 cm SS Fodder radish 1.319667
grond 5-10 cm SS Black oats 1.324667
grond 5-10 cm SS Tall fescue 1.310333
grond 5-10 cm SS Caterpillar NA 1.294667