mct.md
In biometryassist: Functions to Assist Design and Analysis of Agronomic Experiments

save produces output

     Species predicted.value std.error  df groups   ci  low   up
1     setosa            0.25      0.03 147      a 0.05 0.20 0.29
2 versicolor            1.33      0.03 147      b 0.05 1.28 1.37
3  virginica            2.03      0.03 147      c 0.05 1.98 2.07

mct removes aliased treatments in aov

[1] 15.81 25.95 31.75

mct handles aliased results in asreml with a warning

   Nitrogen     Variety predicted.value std.error groups    ci    low     up
1     0_cwt     Victory           70.69      8.80      a 14.91  55.78  85.59
2     0_cwt Golden_rain           77.41      8.82     ab 14.94  62.47  92.34
3     0_cwt  Marvellous           86.25      8.80    abc 14.89  71.36 101.14
4   0.2_cwt     Victory           92.75      8.79    bcd 14.89  77.87 107.64
5   0.2_cwt  Marvellous          108.72      8.73     de 14.78  93.94 123.50
6   0.4_cwt     Victory          111.78      8.86    cde 15.01  96.77 126.79
7   0.4_cwt  Marvellous          113.38      8.87     de 15.01  98.37 128.39
8   0.4_cwt Golden_rain          115.33      8.94    cde 15.14 100.20 130.47
9   0.6_cwt     Victory          119.64      8.84      e 14.97 104.66 134.61
10  0.6_cwt Golden_rain          121.48      8.92     de 15.10 106.38 136.59
11  0.6_cwt  Marvellous          128.10      8.77      e 14.85 113.25 142.94

Aliased level is: 0.2_cwt:Golden_rain

   Nitrogen     Variety predicted.value std.error groups    ci    low     up
1     0_cwt     Victory           70.17      9.28      a 15.72  54.46  85.89
2     0_cwt Golden_rain           72.86      9.22      a 15.62  57.24  88.48
3     0_cwt  Marvellous           88.36      9.25     ab 15.68  72.68 104.03
4   0.2_cwt  Marvellous          108.91      9.13     bc 15.46  93.44 124.37
5   0.4_cwt     Victory          109.53      9.31     bc 15.77  93.76 125.30
6   0.4_cwt Golden_rain          112.61      9.40     bc 15.92  96.70 128.53
7   0.6_cwt Golden_rain          115.99      9.20      c 15.59 100.40 131.58
8   0.4_cwt  Marvellous          116.22      9.37      c 15.87 100.35 132.08
9   0.6_cwt     Victory          116.85      9.34      c 15.83 101.02 132.67
10  0.6_cwt  Marvellous          128.99      9.20      c 15.59 113.40 144.58

Aliased levels are: 0.2_cwt:Golden_rain and 0.2_cwt:Victory

3 way interaction works

 [1]  99.08  99.26  99.57  99.73  99.73  99.73  99.77  99.79  99.90  99.94
[11] 100.01 100.04 100.07 100.19 100.21 100.22 100.31 100.32 100.37 100.46
[21] 100.48 100.48 100.49 100.64 100.68 100.72 101.23