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tests/testthat/_snaps/all-w2.md
In biometryassist: Functions to Assist Design and Analysis of Agronomic Experiments
example 1 works
Analysis of Variance Table
Response: RL
Df Sum Sq Mean Sq F value Pr(>F)
trt 3 190.79 63.598 77.675 0.0000000009414 ***
Residuals 16 13.10 0.819
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
trt predicted.value std.error df groups ci low up
1 20 9.96 0.4 16 a 0.71 9.26 10.67
2 1 12.26 0.4 16 b 0.71 11.55 12.96
3 5 16.14 0.4 16 c 0.71 15.44 16.85
4 10 17.77 0.4 16 c 0.71 17.07 18.48
example 2 works
Analysis of Variance Table
Response: TuberLengthGrowth
Df Sum Sq Mean Sq F value Pr(>F)
trt 6 436.01 72.668 54.989 < 2.2e-16 ***
Residuals 77 101.76 1.322
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
trt predicted.value std.error df groups ci low up
1 T3 11.15 0.33 77 a 0.55 10.60 11.70
2 T5 12.45 0.33 77 a 0.55 11.90 13.01
3 T6 14.02 0.33 77 b 0.55 13.47 14.58
4 T4 15.10 0.33 77 bc 0.55 14.55 15.65
5 T2 16.11 0.33 77 cd 0.55 15.56 16.66
6 T7 17.24 0.33 77 de 0.55 16.69 17.79
7 T1 17.83 0.33 77 e 0.55 17.28 18.38
example 3 works
Analysis of Variance Table
Response: Yield
Df Sum Sq Mean Sq F value Pr(>F)
Block 4 29.191 7.2977 3.7085 0.034525 *
Variety 3 36.527 12.1756 6.1873 0.008747 **
Residuals 12 23.614 1.9678
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Variety predicted.value std.error df groups ci low up
1 Parafield 1.68 0.63 12 a 1.12 0.56 2.80
2 Kaspa 2.68 0.63 12 ab 1.12 1.56 3.79
3 Yarrum 4.72 0.63 12 b 1.12 3.61 5.84
4 Excell 4.85 0.63 12 b 1.12 3.73 5.97
example 4 works
Analysis of Variance Table
Response: DM
Df Sum Sq Mean Sq F value Pr(>F)
row 3 45760 15253 0.9928 0.457425
col 3 59232 19744 1.2851 0.361855
trt 3 613113 204371 13.3020 0.004638 **
Residuals 6 92184 15364
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
trt predicted.value std.error df groups ci low up
1 S4 1707.94 61.98 6 a 120.43 1587.51 1828.37
2 S2 1802.70 61.98 6 ab 120.43 1682.27 1923.13
3 S1 2053.73 61.98 6 bc 120.43 1933.30 2174.16
4 S3 2200.08 61.98 6 c 120.43 2079.66 2320.51
example 3 LMM works
Df denDF F.inc Pr
(Intercept) 1 4 33.230 0.004494493
Variety 3 12 6.187 0.008747377
Variety predicted.value std.error groups ci low up
1 Parafield 1.68 0.81 a 1.45 0.23 3.13
2 Kaspa 2.68 0.81 ab 1.45 1.23 4.12
3 Yarrum 4.72 0.81 b 1.45 3.28 6.17
4 Excell 4.85 0.81 b 1.45 3.40 6.30
example 4 LMM works
Df denDF F.inc Pr
(Intercept) 1 3 3053.00 1.305451e-05
trt 3 9 13.33 1.162778e-03
trt predicted.value std.error groups ci low up
1 S4 1707.94 64.09 a 117.49 1590.45 1825.43
2 S2 1802.70 64.09 ab 117.49 1685.21 1920.19
3 S1 2053.73 64.09 bc 117.49 1936.24 2171.22
4 S3 2200.09 64.09 c 117.49 2082.60 2317.57
example 5 works
Df denDF F.inc Pr
(Intercept) 1 3 3029.0000 1.321435e-05
Genotype 69 414 7.2010 0.000000e+00
Fungicide 1 3 40.2700 7.914935e-03
Genotype:Fungicide 69 414 0.9331 6.290102e-01
Genotype predicted.value std.error groups ci low up
1 G04 4.14 0.14 a 0.23 3.92 4.37
2 G14 4.63 0.14 ab 0.23 4.41 4.86
3 G20 4.80 0.14 bc 0.23 4.57 5.02
4 G10 4.81 0.14 bcd 0.23 4.59 5.04
5 G28 4.84 0.14 bcde 0.23 4.61 5.07
6 G24 4.85 0.14 bcdef 0.23 4.63 5.08
7 G01 4.91 0.14 bcdefg 0.23 4.68 5.14
8 G05 4.94 0.14 bcdefgh 0.23 4.72 5.17
9 G49 4.95 0.14 bcdefgh 0.23 4.72 5.17
10 G34 5.01 0.14 bcdefgh 0.23 4.78 5.23
11 G25 5.02 0.14 bcdefgh 0.23 4.79 5.24
12 G30 5.04 0.14 bcdefghi 0.23 4.82 5.27
13 G21 5.05 0.14 bcdefghi 0.23 4.82 5.27
14 G02 5.06 0.14 bcdefghi 0.23 4.84 5.29
15 G15 5.07 0.14 bcdefghi 0.23 4.85 5.30
16 G41 5.09 0.14 bcdefghi 0.23 4.86 5.31
17 G08 5.09 0.14 bcdefghi 0.23 4.86 5.32
18 G07 5.10 0.14 bcdefghi 0.23 4.87 5.32
19 G45 5.11 0.14 bcdefghi 0.23 4.88 5.33
20 G06 5.13 0.14 bcdefghi 0.23 4.90 5.35
21 G55 5.14 0.14 bcdefghi 0.23 4.92 5.37
22 G32 5.16 0.14 bcdefghij 0.23 4.93 5.38
23 G11 5.16 0.14 bcdefghij 0.23 4.94 5.39
24 G39 5.18 0.14 bcdefghij 0.23 4.95 5.40
25 G61 5.20 0.14 bcdefghij 0.23 4.97 5.42
26 G53 5.21 0.14 bcdefghij 0.23 4.98 5.43
27 G37 5.21 0.14 bcdefghij 0.23 4.99 5.44
28 G26 5.21 0.14 bcdefghij 0.23 4.99 5.44
29 G43 5.21 0.14 bcdefghij 0.23 4.99 5.44
30 G35 5.22 0.14 bcdefghij 0.23 4.99 5.44
31 G66 5.22 0.14 bcdefghij 0.23 4.99 5.44
32 G16 5.23 0.14 cdefghij 0.23 5.00 5.45
33 G68 5.25 0.14 cdefghij 0.23 5.02 5.48
34 G46 5.25 0.14 cdefghij 0.23 5.03 5.48
35 G29 5.26 0.14 cdefghij 0.23 5.04 5.49
36 G47 5.27 0.14 cdefghij 0.23 5.05 5.50
37 G44 5.29 0.14 cdefghij 0.23 5.06 5.52
38 G23 5.29 0.14 cdefghij 0.23 5.07 5.52
39 G56 5.29 0.14 cdefghij 0.23 5.07 5.52
40 G58 5.31 0.14 cdefghij 0.23 5.08 5.53
41 G57 5.31 0.14 cdefghij 0.23 5.09 5.54
42 G63 5.32 0.14 cdefghij 0.23 5.09 5.54
43 G62 5.32 0.14 cdefghij 0.23 5.09 5.55
44 G54 5.33 0.14 cdefghij 0.23 5.11 5.56
45 G51 5.36 0.14 cdefghij 0.23 5.13 5.58
46 G67 5.37 0.14 cdefghij 0.23 5.14 5.59
47 G22 5.37 0.14 cdefghij 0.23 5.14 5.60
48 G42 5.37 0.14 cdefghij 0.23 5.14 5.60
49 G59 5.37 0.14 cdefghij 0.23 5.14 5.60
50 G65 5.38 0.14 cdefghij 0.23 5.15 5.60
51 G69 5.38 0.14 cdefghij 0.23 5.16 5.61
52 G38 5.38 0.14 cdefghij 0.23 5.16 5.61
53 G12 5.39 0.14 defghij 0.23 5.17 5.62
54 G31 5.41 0.14 efghij 0.23 5.19 5.64
55 G50 5.42 0.14 efghij 0.23 5.20 5.65
56 G17 5.42 0.14 efghij 0.23 5.20 5.65
57 G52 5.43 0.14 efghij 0.23 5.20 5.65
58 G64 5.44 0.14 fghij 0.23 5.21 5.67
59 G13 5.45 0.14 ghij 0.23 5.22 5.67
60 G70 5.45 0.14 ghij 0.23 5.23 5.68
61 G09 5.46 0.14 ghij 0.23 5.23 5.68
62 G60 5.48 0.14 ghij 0.23 5.25 5.71
63 G27 5.49 0.14 ghijk 0.23 5.26 5.72
64 G18 5.50 0.14 ghijk 0.23 5.27 5.72
65 G36 5.50 0.14 hijk 0.23 5.28 5.73
66 G48 5.51 0.14 hijk 0.23 5.29 5.74
67 G40 5.53 0.14 hijk 0.23 5.30 5.75
68 G33 5.61 0.14 ijk 0.23 5.38 5.83
69 G19 5.73 0.14 jk 0.23 5.51 5.96
70 G03 6.07 0.14 k 0.23 5.85 6.30
Fungicide predicted.value std.error groups ci low up
1 F2 4.97 0.1 a 0.25 4.72 5.21
2 F1 5.51 0.1 b 0.25 5.27 5.76
example 6 works
Df denDF F.inc Pr
(Intercept) 1 6.9 188.100 2.807176e-06
Treatment 20 27.6 2.963 4.353194e-03
component std.error z.ratio bound %ch
Block 2.864157e-07 NA NA B NA
Column:Row!R 1.790098e-01 0.04842597 3.696565 P 0.0
Column:Row!Row!cor 5.407771e-01 0.13654557 3.960414 U 0.1
Treatment predicted.value std.error groups ci low up
1 Hoegrass_0.75L 0.92 0.20 a 0.35 0.57 1.27
2 Wildcat_300mL 0.94 0.20 a 0.35 0.59 1.28
3 Atlantis_300mL 0.94 0.21 ab 0.35 0.58 1.29
4 Wildcat_350mL 0.94 0.20 a 0.35 0.60 1.29
5 Topik_50mL 0.95 0.20 a 0.35 0.60 1.29
6 Achieve_300g 0.96 0.21 ab 0.35 0.61 1.32
7 Control_0 0.98 0.21 a 0.35 0.63 1.34
8 Hoegrass_1.0L 1.06 0.20 ab 0.35 0.72 1.41
9 Tristar_1.0L 1.07 0.20 ab 0.35 0.72 1.41
10 Achieve_380g 1.08 0.20 ab 0.35 0.74 1.43
11 Atlantis_330mL 1.18 0.20 ab 0.35 0.84 1.53
12 Topik_85mL 1.22 0.21 ab 0.35 0.87 1.57
13 MatavenL_2.25L 1.23 0.21 ab 0.35 0.88 1.58
14 Hoegrass_1.2L 1.30 0.21 ab 0.35 0.95 1.65
15 Topik_65mL 1.37 0.20 ab 0.35 1.02 1.71
16 Wildcat_250mL 1.53 0.20 ab 0.35 1.19 1.88
17 MatavenL_3.0L 1.59 0.21 ab 0.35 1.23 1.94
18 Hussar_200g 1.66 0.20 ab 0.34 1.31 2.00
19 Achieve_250g 1.68 0.21 ab 0.35 1.32 2.03
20 Tristar_1.5L 1.90 0.21 ab 0.35 1.55 2.25
21 Hussar_150g 2.01 0.21 b 0.35 1.66 2.36
example 7 works
Df denDF F.inc Pr
(Intercept) 1 6.9 188.10000 2.807176e-06
Control 1 30.1 3.40000 7.504586e-02
Herbicide 7 27.5 3.41500 9.356671e-03
Rate 2 29.6 0.03766 9.630875e-01
Herbicide:Rate 10 29.4 3.18000 7.021822e-03
component std.error z.ratio bound %ch
Block 2.9e-07 NA NA B NA
Column:Row!R 1.8e-01 0.048 3.7 P 0.0
Column:Row!Row!cor 5.4e-01 0.137 4.0 U 0.1
Herbicide Rate predicted.value std.error groups ci low up
1 Hoegrass Low 0.92 0.20 a 0.35 0.57 1.27
2 Wildcat Medium 0.94 0.20 a 0.35 0.59 1.28
3 Atlantis Low 0.94 0.21 ab 0.35 0.59 1.29
4 Wildcat High 0.94 0.20 a 0.35 0.60 1.29
5 Topik Low 0.95 0.20 a 0.34 0.60 1.29
6 Achieve Medium 0.96 0.21 ab 0.35 0.61 1.31
7 Control Control 0.98 0.21 a 0.35 0.63 1.34
8 Hoegrass Medium 1.06 0.20 ab 0.35 0.72 1.41
9 Tristar Low 1.07 0.20 ab 0.35 0.72 1.41
10 Achieve High 1.08 0.20 ab 0.35 0.74 1.43
11 Atlantis High 1.18 0.20 ab 0.34 0.84 1.53
12 Topik High 1.22 0.21 ab 0.35 0.87 1.57
13 MatavenL Low 1.23 0.21 ab 0.35 0.88 1.58
14 Hoegrass High 1.30 0.21 ab 0.35 0.95 1.65
15 Topik Medium 1.37 0.20 ab 0.35 1.02 1.71
16 Wildcat Low 1.53 0.20 ab 0.35 1.19 1.88
17 MatavenL High 1.59 0.21 ab 0.35 1.23 1.94
18 Hussar High 1.66 0.20 ab 0.34 1.31 2.00
19 Achieve Low 1.68 0.21 ab 0.35 1.32 2.03
20 Tristar High 1.90 0.21 ab 0.35 1.55 2.25
21 Hussar Low 2.01 0.21 b 0.35 1.66 2.36
Aliased levels are: Achieve:Control, Atlantis:Control, Atlantis:Medium, Control:High, Control:Low, Control:Medium, Hoegrass:Control, Hussar:Control, Hussar:Medium, MatavenL:Control, MatavenL:Medium, Topik:Control, Tristar:Control, Tristar:Medium and Wildcat:Control
exercise 1 works
Analysis of Variance Table
Response: Yield
Df Sum Sq Mean Sq F value Pr(>F)
Variety 11 2.14254 0.194777 4.6796 0.0007707 ***
Residuals 24 0.99893 0.041622
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Variety predicted.value std.error df groups ci low up
1 Lang 1.97333 0.11779 24 a 0.20152 1.77181 2.17486
2 Drysdale 2.13000 0.11779 24 a 0.20152 1.92848 2.33152
3 Wylah 2.13000 0.11779 24 a 0.20152 1.92848 2.33152
4 Baxter 2.14000 0.11779 24 a 0.20152 1.93848 2.34152
5 Janz 2.19333 0.11779 24 ab 0.20152 1.99181 2.39486
6 Endure 2.24000 0.11779 24 ab 0.20152 2.03848 2.44152
7 Orion 2.27000 0.11779 24 ab 0.20152 2.06848 2.47152
8 Zippy 2.28333 0.11779 24 ab 0.20152 2.08181 2.48486
9 Fortune 2.52667 0.11779 24 ab 0.20152 2.32514 2.72819
10 Caryina 2.54000 0.11779 24 ab 0.20152 2.33848 2.74152
11 Pugsley 2.75000 0.11779 24 b 0.20152 2.54848 2.95152
12 Arrino 2.75333 0.11779 24 b 0.20152 2.55181 2.95486
exercise 2 works
Analysis of Variance Table
Response: Time
Df Sum Sq Mean Sq F value Pr(>F)
Treatment 5 4.2352 0.84704 6.4554 0.001331 **
Residuals 18 2.3619 0.13122
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Code
data.frame(lapply(pred2e.out, function(y) if (is.numeric(y)) round(y, 1) else y))
Output
Treatment predicted.value std.error df groups ci low up
1 KC 2.1 0.2 18 a 0.3 1.8 2.4
2 PE 2.2 0.2 18 a 0.3 1.9 2.5
3 HL 2.6 0.2 18 ab 0.3 2.3 2.9
4 CN 2.8 0.2 18 ab 0.3 2.5 3.1
5 HE 2.8 0.2 18 ab 0.3 2.5 3.1
6 CP 3.4 0.2 18 b 0.3 3.0 3.7
exercise 3 works
Analysis of Variance Table
Response: AverageFruitSize
Df Sum Sq Mean Sq F value Pr(>F)
Replicate 4 44.969 11.2421 12.696 1.092e-05 ***
Variety 6 134.623 22.4371 25.339 2.868e-09 ***
Residuals 24 21.251 0.8855
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Variety predicted.value std.error df groups ci low up
1 CarolinaCross 2.84 0.42 24 a 0.72 2.12 3.56
2 Pharoah 2.86 0.42 24 a 0.72 2.14 3.58
3 Phantom 3.08 0.42 24 ab 0.72 2.36 3.80
4 Hercules 4.70 0.42 24 ab 0.72 3.98 5.42
5 Melitopolski 4.78 0.42 24 b 0.72 4.06 5.50
6 Orangeglo 4.96 0.42 24 b 0.72 4.24 5.68
7 Sudanese 8.88 0.42 24 c 0.72 8.16 9.60
exercise 4 works
Analysis of Variance Table
Response: Yield
Df Sum Sq Mean Sq F value Pr(>F)
Block 3 1.94436 0.64812 4.9021 0.01434 *
SeedingRate 5 0.87353 0.17471 1.3214 0.30758
Residuals 15 1.98317 0.13221
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
exercise 5 works
Analysis of Variance Table
Response: EarInfect
Df Sum Sq Mean Sq F value Pr(>F)
row 1 2.71 2.710 0.2773 0.6049
col 1 2.67 2.668 0.2730 0.6077
Treatment 4 826.56 206.640 21.1476 1.327e-06 ***
Residuals 18 175.88 9.771
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Treatment predicted.value std.error df groups ci low up
1 Root 31.61 1.4 18 a 2.42 29.18 34.03
2 Seed 35.98 1.4 18 ab 2.42 33.55 38.40
3 Stalk 38.95 1.4 18 bc 2.42 36.53 41.38
4 Damage 43.52 1.4 18 cd 2.42 41.09 45.94
5 Silk 48.12 1.4 18 d 2.42 45.69 50.54
exercise 6 works
Analysis of Variance Table
Response: SugarYield
Df Sum Sq Mean Sq F value Pr(>F)
row 1 11.666 11.666 1.1452 0.30971
col 1 21.084 21.084 2.0696 0.18081
Treatment 3 172.965 57.655 5.6594 0.01574 *
Residuals 10 101.874 10.187
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Treatment predicted.value std.error df groups ci low up
1 T4 16.01 1.6 10 a 2.89 13.12 18.90
2 T8 17.51 1.6 10 ab 2.89 14.62 20.40
3 T12 21.40 1.6 10 ab 2.89 18.51 24.29
4 T0 24.39 1.6 10 b 2.89 21.50 27.28
exercise 7 works
Df denDF F.inc Pr
(Intercept) 1 4 65.47 1.267962e-03
Variety 6 24 25.34 2.868344e-09
Variety predicted.value std.error groups ci low up
1 CarolinaCross 2.84 0.69 a 1.18 1.66 4.02
2 Pharoah 2.86 0.69 a 1.18 1.68 4.04
3 Phantom 3.08 0.69 ab 1.18 1.90 4.26
4 Hercules 4.70 0.69 ab 1.18 3.52 5.88
5 Melitopolski 4.78 0.69 b 1.18 3.60 5.96
6 Orangeglo 4.96 0.69 b 1.18 3.78 6.14
7 Sudanese 8.88 0.69 c 1.18 7.70 10.06
exercise 8 works
Df denDF F.inc Pr
(Intercept) 1 3 910.800 7.990756e-05
SeedingRate 5 15 1.321 3.075796e-01
exercise 9 works
Df denDF F.inc Pr
(Intercept) 1 20 4333.0 0.000000e+00
Treatment 4 20 22.8 3.258972e-07
Treatment predicted.value std.error groups ci low up
1 Root 31.61 1.35 a 2.32 29.29 33.93
2 Seed 35.98 1.35 ab 2.32 33.66 38.30
3 Stalk 38.95 1.35 bc 2.32 36.63 41.27
4 Damage 43.52 1.35 cd 2.32 41.20 45.84
5 Silk 48.12 1.35 d 2.32 45.80 50.44
exercise 10 works
Df denDF F.inc Pr
(Intercept) 1 0.7 124.100 0.11595886
Treatment 3 10.0 5.659 0.01573632
Treatment predicted.value std.error groups ci low up
1 T4 16.01 1.6 a 2.89 13.12 18.90
2 T8 17.51 1.6 ab 2.89 14.62 20.40
3 T12 21.40 1.6 ab 2.89 18.51 24.29
4 T0 24.39 1.6 b 2.89 21.50 27.28
exercise 11 works
Df denDF F.inc Pr
(Intercept) 1 5.0 245.1000 1.931825e-05
Genotype 2 54.3 3.2210 4.765853e-02
Nitrogen 3 43.2 27.0500 5.270026e-10
Genotype:Nitrogen 6 50.1 0.2233 9.674091e-01
Genotype predicted.value std.error groups ci low up
1 Victory 97.68 7.15 a 11.97 85.71 109.65
2 GoldenRain 104.89 7.15 ab 11.97 92.92 116.86
3 Marvellous 109.35 7.16 b 11.98 97.37 121.33
Nitrogen predicted.value std.error groups ci low up
1 0 79.39 7.37 a 12.4 66.99 91.78
2 0.2 98.89 7.37 b 12.4 86.49 111.28
3 0.4 114.22 7.37 c 12.4 101.83 126.62
4 0.6 123.39 7.37 c 12.4 110.99 135.78
exercise 12 works
Df denDF F.inc Pr
(Intercept) 1 2 48.000 0.020205048
Variety 4 16 6.943 0.001937025
Irrigation 1 2 22.820 0.041135282
Variety:Irrigation 4 16 3.994 0.019643763
Variety Irrigation predicted.value std.error groups ci low up
1 Thumper Rainfed 4.61 0.99 a 1.73 2.88 6.34
2 Cobbler Rainfed 5.47 0.99 ab 1.73 3.74 7.20
3 Bravo Rainfed 5.91 0.99 b 1.73 4.18 7.64
4 Hyola Rainfed 6.19 0.99 bc 1.73 4.46 7.92
5 Victory Rainfed 6.43 0.99 bc 1.73 4.70 8.16
6 Thumper Irrigated 6.92 0.99 bc 1.73 5.19 8.65
7 Victory Irrigated 7.02 0.99 bc 1.73 5.29 8.75
8 Bravo Irrigated 7.68 0.99 c 1.73 5.95 9.41
9 Hyola Irrigated 7.70 0.99 c 1.73 5.97 9.43
10 Cobbler Irrigated 7.75 0.99 c 1.73 6.02 9.48
exercise 13 works
Df denDF F.inc Pr
(Intercept) 1 5.0 254.40 1.83e-05
Genotype 2 53.6 4.63 1.39e-02
Nitrogen 3 21.3 33.70 2.86e-08
Genotype:Nitrogen 6 50.3 0.30 9.34e-01
Genotype predicted.value std.error groups ci low up
1 Victory 97.41 7.04 a 11.79 85.62 109.20
2 GoldenRain 104.31 7.05 ab 11.81 92.50 116.12
3 Marvellous 110.07 7.04 b 11.79 98.28 121.86
Nitrogen predicted.value std.error groups ci low up
1 0 79.44 7.11 a 12.23 67.21 91.67
2 0.2 98.82 7.11 b 12.23 86.58 111.05
3 0.4 114.08 7.11 c 12.23 101.85 126.32
4 0.6 123.37 7.10 c 12.21 111.16 135.58
exercise 14 works
Df denDF F.inc Pr
(Intercept) 1 17.7 23710.000 0.000000e+00
Genotype 49 69.4 5.089 4.795863e-10
Genotype predicted.value std.error groups ci low up
1 G36 3.68 0.09 a 0.15 3.53 3.83
2 G28 3.79 0.09 ab 0.15 3.64 3.94
3 G30 3.90 0.09 abc 0.15 3.75 4.05
4 G46 3.91 0.09 abcd 0.15 3.76 4.05
5 G23 3.92 0.09 abcde 0.15 3.77 4.07
6 G29 3.96 0.09 abcdef 0.15 3.81 4.10
7 G07 3.96 0.09 abcdef 0.15 3.81 4.11
8 G21 3.98 0.09 abcdefg 0.15 3.83 4.13
9 G45 3.98 0.09 abcdefg 0.15 3.83 4.13
10 G33 4.02 0.09 abcdefgh 0.15 3.87 4.17
11 G49 4.03 0.09 abcdefgh 0.15 3.89 4.18
12 G06 4.04 0.09 abcdefgh 0.15 3.89 4.18
13 G38 4.06 0.09 abcdefgh 0.15 3.91 4.21
14 G27 4.06 0.09 abcdefgh 0.15 3.91 4.21
15 G43 4.06 0.09 abcdefgh 0.15 3.92 4.21
16 G19 4.07 0.09 abcdefgh 0.15 3.92 4.22
17 G15 4.12 0.09 abcdefgh 0.15 3.98 4.27
18 G31 4.13 0.09 abcdefgh 0.15 3.98 4.28
19 G24 4.13 0.09 abcdefgh 0.15 3.98 4.28
20 G48 4.15 0.09 abcdefgh 0.15 4.00 4.30
21 G34 4.15 0.09 abcdefgh 0.15 4.00 4.30
22 G05 4.15 0.09 abcdefgh 0.15 4.00 4.30
23 G18 4.16 0.09 abcdefgh 0.15 4.01 4.31
24 G37 4.16 0.09 bcdefgh 0.15 4.01 4.31
25 G47 4.18 0.09 abcdefgh 0.15 4.03 4.33
26 G08 4.18 0.09 abcdefgh 0.15 4.03 4.33
27 G25 4.19 0.09 bcdefgh 0.15 4.05 4.34
28 G26 4.19 0.09 abcdefgh 0.15 4.05 4.34
29 G13 4.20 0.09 bcdefgh 0.15 4.05 4.34
30 G35 4.21 0.09 bcdefgh 0.15 4.06 4.35
31 G44 4.22 0.09 bcdefgh 0.15 4.07 4.37
32 G39 4.23 0.09 bcdefgh 0.15 4.08 4.38
33 G14 4.26 0.09 bcdefgh 0.15 4.11 4.41
34 G41 4.27 0.09 bcdefgh 0.15 4.12 4.42
35 G01 4.31 0.09 bcdefgh 0.16 4.15 4.46
36 G10 4.31 0.09 cdefgh 0.15 4.16 4.46
37 G03 4.33 0.09 cdefgh 0.15 4.18 4.47
38 G16 4.33 0.09 cdefgh 0.15 4.18 4.48
39 G32 4.33 0.09 cdefgh 0.15 4.18 4.48
40 G22 4.34 0.09 cdefgh 0.15 4.19 4.49
41 G20 4.36 0.09 cdefgh 0.15 4.21 4.51
42 G02 4.36 0.09 cdefgh 0.15 4.22 4.51
43 G40 4.38 0.09 cdefgh 0.15 4.22 4.53
44 G11 4.38 0.09 cdefgh 0.15 4.23 4.54
45 G42 4.41 0.09 defgh 0.15 4.27 4.56
46 G09 4.42 0.09 efgh 0.15 4.27 4.57
47 G50 4.43 0.09 efgh 0.15 4.28 4.58
48 G17 4.43 0.09 fgh 0.15 4.29 4.58
49 G12 4.49 0.09 gh 0.15 4.33 4.64
50 G04 4.52 0.09 h 0.15 4.37 4.67
exercise 15 works
Df denDF F.inc Pr
(Intercept) 1 4.7 433.300 8.380984e-06
Control 1 15.2 17.600 7.572642e-04
Season 1 16.1 7.289 1.570468e-02
Rate 2 15.0 6.489 9.355453e-03
Season:Rate 2 20.8 1.352 2.804897e-01
Control predicted.value std.error groups ci low up
1 No 2.37 0.13 a 0.22 2.14 2.59
2 Yes 3.06 0.17 b 0.30 2.76 3.36
Rate predicted.value std.error groups ci low up
1 12 1.99 0.17 a 0.29 1.70 2.29
2 3 2.48 0.17 ab 0.29 2.18 2.77
3 6 2.62 0.17 bc 0.30 2.33 2.92
4 0 3.06 0.17 c 0.30 2.76 3.36
Season predicted.value std.error groups ci low up
1 F 2.14 0.15 a 0.26 1.88 2.40
2 S 2.59 0.15 b 0.27 2.33 2.86
3 O 3.06 0.17 c 0.30 2.76 3.36
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example 1 works
Analysis of Variance Table
Response: RL
Df Sum Sq Mean Sq F value Pr(>F)
trt 3 190.79 63.598 77.675 0.0000000009414 ***
Residuals 16 13.10 0.819
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
trt predicted.value std.error df groups ci low up
1 20 9.96 0.4 16 a 0.71 9.26 10.67
2 1 12.26 0.4 16 b 0.71 11.55 12.96
3 5 16.14 0.4 16 c 0.71 15.44 16.85
4 10 17.77 0.4 16 c 0.71 17.07 18.48
example 2 works
Analysis of Variance Table
Response: TuberLengthGrowth
Df Sum Sq Mean Sq F value Pr(>F)
trt 6 436.01 72.668 54.989 < 2.2e-16 ***
Residuals 77 101.76 1.322
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
trt predicted.value std.error df groups ci low up
1 T3 11.15 0.33 77 a 0.55 10.60 11.70
2 T5 12.45 0.33 77 a 0.55 11.90 13.01
3 T6 14.02 0.33 77 b 0.55 13.47 14.58
4 T4 15.10 0.33 77 bc 0.55 14.55 15.65
5 T2 16.11 0.33 77 cd 0.55 15.56 16.66
6 T7 17.24 0.33 77 de 0.55 16.69 17.79
7 T1 17.83 0.33 77 e 0.55 17.28 18.38
example 3 works
Analysis of Variance Table
Response: Yield
Df Sum Sq Mean Sq F value Pr(>F)
Block 4 29.191 7.2977 3.7085 0.034525 *
Variety 3 36.527 12.1756 6.1873 0.008747 **
Residuals 12 23.614 1.9678
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Variety predicted.value std.error df groups ci low up
1 Parafield 1.68 0.63 12 a 1.12 0.56 2.80
2 Kaspa 2.68 0.63 12 ab 1.12 1.56 3.79
3 Yarrum 4.72 0.63 12 b 1.12 3.61 5.84
4 Excell 4.85 0.63 12 b 1.12 3.73 5.97
example 4 works
Analysis of Variance Table
Response: DM
Df Sum Sq Mean Sq F value Pr(>F)
row 3 45760 15253 0.9928 0.457425
col 3 59232 19744 1.2851 0.361855
trt 3 613113 204371 13.3020 0.004638 **
Residuals 6 92184 15364
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
trt predicted.value std.error df groups ci low up
1 S4 1707.94 61.98 6 a 120.43 1587.51 1828.37
2 S2 1802.70 61.98 6 ab 120.43 1682.27 1923.13
3 S1 2053.73 61.98 6 bc 120.43 1933.30 2174.16
4 S3 2200.08 61.98 6 c 120.43 2079.66 2320.51
example 3 LMM works
Df denDF F.inc Pr
(Intercept) 1 4 33.230 0.004494493
Variety 3 12 6.187 0.008747377
Variety predicted.value std.error groups ci low up
1 Parafield 1.68 0.81 a 1.45 0.23 3.13
2 Kaspa 2.68 0.81 ab 1.45 1.23 4.12
3 Yarrum 4.72 0.81 b 1.45 3.28 6.17
4 Excell 4.85 0.81 b 1.45 3.40 6.30
example 4 LMM works
Df denDF F.inc Pr
(Intercept) 1 3 3053.00 1.305451e-05
trt 3 9 13.33 1.162778e-03
trt predicted.value std.error groups ci low up
1 S4 1707.94 64.09 a 117.49 1590.45 1825.43
2 S2 1802.70 64.09 ab 117.49 1685.21 1920.19
3 S1 2053.73 64.09 bc 117.49 1936.24 2171.22
4 S3 2200.09 64.09 c 117.49 2082.60 2317.57
example 5 works
Df denDF F.inc Pr
(Intercept) 1 3 3029.0000 1.321435e-05
Genotype 69 414 7.2010 0.000000e+00
Fungicide 1 3 40.2700 7.914935e-03
Genotype:Fungicide 69 414 0.9331 6.290102e-01
Genotype predicted.value std.error groups ci low up
1 G04 4.14 0.14 a 0.23 3.92 4.37
2 G14 4.63 0.14 ab 0.23 4.41 4.86
3 G20 4.80 0.14 bc 0.23 4.57 5.02
4 G10 4.81 0.14 bcd 0.23 4.59 5.04
5 G28 4.84 0.14 bcde 0.23 4.61 5.07
6 G24 4.85 0.14 bcdef 0.23 4.63 5.08
7 G01 4.91 0.14 bcdefg 0.23 4.68 5.14
8 G05 4.94 0.14 bcdefgh 0.23 4.72 5.17
9 G49 4.95 0.14 bcdefgh 0.23 4.72 5.17
10 G34 5.01 0.14 bcdefgh 0.23 4.78 5.23
11 G25 5.02 0.14 bcdefgh 0.23 4.79 5.24
12 G30 5.04 0.14 bcdefghi 0.23 4.82 5.27
13 G21 5.05 0.14 bcdefghi 0.23 4.82 5.27
14 G02 5.06 0.14 bcdefghi 0.23 4.84 5.29
15 G15 5.07 0.14 bcdefghi 0.23 4.85 5.30
16 G41 5.09 0.14 bcdefghi 0.23 4.86 5.31
17 G08 5.09 0.14 bcdefghi 0.23 4.86 5.32
18 G07 5.10 0.14 bcdefghi 0.23 4.87 5.32
19 G45 5.11 0.14 bcdefghi 0.23 4.88 5.33
20 G06 5.13 0.14 bcdefghi 0.23 4.90 5.35
21 G55 5.14 0.14 bcdefghi 0.23 4.92 5.37
22 G32 5.16 0.14 bcdefghij 0.23 4.93 5.38
23 G11 5.16 0.14 bcdefghij 0.23 4.94 5.39
24 G39 5.18 0.14 bcdefghij 0.23 4.95 5.40
25 G61 5.20 0.14 bcdefghij 0.23 4.97 5.42
26 G53 5.21 0.14 bcdefghij 0.23 4.98 5.43
27 G37 5.21 0.14 bcdefghij 0.23 4.99 5.44
28 G26 5.21 0.14 bcdefghij 0.23 4.99 5.44
29 G43 5.21 0.14 bcdefghij 0.23 4.99 5.44
30 G35 5.22 0.14 bcdefghij 0.23 4.99 5.44
31 G66 5.22 0.14 bcdefghij 0.23 4.99 5.44
32 G16 5.23 0.14 cdefghij 0.23 5.00 5.45
33 G68 5.25 0.14 cdefghij 0.23 5.02 5.48
34 G46 5.25 0.14 cdefghij 0.23 5.03 5.48
35 G29 5.26 0.14 cdefghij 0.23 5.04 5.49
36 G47 5.27 0.14 cdefghij 0.23 5.05 5.50
37 G44 5.29 0.14 cdefghij 0.23 5.06 5.52
38 G23 5.29 0.14 cdefghij 0.23 5.07 5.52
39 G56 5.29 0.14 cdefghij 0.23 5.07 5.52
40 G58 5.31 0.14 cdefghij 0.23 5.08 5.53
41 G57 5.31 0.14 cdefghij 0.23 5.09 5.54
42 G63 5.32 0.14 cdefghij 0.23 5.09 5.54
43 G62 5.32 0.14 cdefghij 0.23 5.09 5.55
44 G54 5.33 0.14 cdefghij 0.23 5.11 5.56
45 G51 5.36 0.14 cdefghij 0.23 5.13 5.58
46 G67 5.37 0.14 cdefghij 0.23 5.14 5.59
47 G22 5.37 0.14 cdefghij 0.23 5.14 5.60
48 G42 5.37 0.14 cdefghij 0.23 5.14 5.60
49 G59 5.37 0.14 cdefghij 0.23 5.14 5.60
50 G65 5.38 0.14 cdefghij 0.23 5.15 5.60
51 G69 5.38 0.14 cdefghij 0.23 5.16 5.61
52 G38 5.38 0.14 cdefghij 0.23 5.16 5.61
53 G12 5.39 0.14 defghij 0.23 5.17 5.62
54 G31 5.41 0.14 efghij 0.23 5.19 5.64
55 G50 5.42 0.14 efghij 0.23 5.20 5.65
56 G17 5.42 0.14 efghij 0.23 5.20 5.65
57 G52 5.43 0.14 efghij 0.23 5.20 5.65
58 G64 5.44 0.14 fghij 0.23 5.21 5.67
59 G13 5.45 0.14 ghij 0.23 5.22 5.67
60 G70 5.45 0.14 ghij 0.23 5.23 5.68
61 G09 5.46 0.14 ghij 0.23 5.23 5.68
62 G60 5.48 0.14 ghij 0.23 5.25 5.71
63 G27 5.49 0.14 ghijk 0.23 5.26 5.72
64 G18 5.50 0.14 ghijk 0.23 5.27 5.72
65 G36 5.50 0.14 hijk 0.23 5.28 5.73
66 G48 5.51 0.14 hijk 0.23 5.29 5.74
67 G40 5.53 0.14 hijk 0.23 5.30 5.75
68 G33 5.61 0.14 ijk 0.23 5.38 5.83
69 G19 5.73 0.14 jk 0.23 5.51 5.96
70 G03 6.07 0.14 k 0.23 5.85 6.30
Fungicide predicted.value std.error groups ci low up
1 F2 4.97 0.1 a 0.25 4.72 5.21
2 F1 5.51 0.1 b 0.25 5.27 5.76
example 6 works
Df denDF F.inc Pr
(Intercept) 1 6.9 188.100 2.807176e-06
Treatment 20 27.6 2.963 4.353194e-03
component std.error z.ratio bound %ch
Block 2.864157e-07 NA NA B NA
Column:Row!R 1.790098e-01 0.04842597 3.696565 P 0.0
Column:Row!Row!cor 5.407771e-01 0.13654557 3.960414 U 0.1
Treatment predicted.value std.error groups ci low up
1 Hoegrass_0.75L 0.92 0.20 a 0.35 0.57 1.27
2 Wildcat_300mL 0.94 0.20 a 0.35 0.59 1.28
3 Atlantis_300mL 0.94 0.21 ab 0.35 0.58 1.29
4 Wildcat_350mL 0.94 0.20 a 0.35 0.60 1.29
5 Topik_50mL 0.95 0.20 a 0.35 0.60 1.29
6 Achieve_300g 0.96 0.21 ab 0.35 0.61 1.32
7 Control_0 0.98 0.21 a 0.35 0.63 1.34
8 Hoegrass_1.0L 1.06 0.20 ab 0.35 0.72 1.41
9 Tristar_1.0L 1.07 0.20 ab 0.35 0.72 1.41
10 Achieve_380g 1.08 0.20 ab 0.35 0.74 1.43
11 Atlantis_330mL 1.18 0.20 ab 0.35 0.84 1.53
12 Topik_85mL 1.22 0.21 ab 0.35 0.87 1.57
13 MatavenL_2.25L 1.23 0.21 ab 0.35 0.88 1.58
14 Hoegrass_1.2L 1.30 0.21 ab 0.35 0.95 1.65
15 Topik_65mL 1.37 0.20 ab 0.35 1.02 1.71
16 Wildcat_250mL 1.53 0.20 ab 0.35 1.19 1.88
17 MatavenL_3.0L 1.59 0.21 ab 0.35 1.23 1.94
18 Hussar_200g 1.66 0.20 ab 0.34 1.31 2.00
19 Achieve_250g 1.68 0.21 ab 0.35 1.32 2.03
20 Tristar_1.5L 1.90 0.21 ab 0.35 1.55 2.25
21 Hussar_150g 2.01 0.21 b 0.35 1.66 2.36
example 7 works
Df denDF F.inc Pr
(Intercept) 1 6.9 188.10000 2.807176e-06
Control 1 30.1 3.40000 7.504586e-02
Herbicide 7 27.5 3.41500 9.356671e-03
Rate 2 29.6 0.03766 9.630875e-01
Herbicide:Rate 10 29.4 3.18000 7.021822e-03
component std.error z.ratio bound %ch
Block 2.9e-07 NA NA B NA
Column:Row!R 1.8e-01 0.048 3.7 P 0.0
Column:Row!Row!cor 5.4e-01 0.137 4.0 U 0.1
Herbicide Rate predicted.value std.error groups ci low up
1 Hoegrass Low 0.92 0.20 a 0.35 0.57 1.27
2 Wildcat Medium 0.94 0.20 a 0.35 0.59 1.28
3 Atlantis Low 0.94 0.21 ab 0.35 0.59 1.29
4 Wildcat High 0.94 0.20 a 0.35 0.60 1.29
5 Topik Low 0.95 0.20 a 0.34 0.60 1.29
6 Achieve Medium 0.96 0.21 ab 0.35 0.61 1.31
7 Control Control 0.98 0.21 a 0.35 0.63 1.34
8 Hoegrass Medium 1.06 0.20 ab 0.35 0.72 1.41
9 Tristar Low 1.07 0.20 ab 0.35 0.72 1.41
10 Achieve High 1.08 0.20 ab 0.35 0.74 1.43
11 Atlantis High 1.18 0.20 ab 0.34 0.84 1.53
12 Topik High 1.22 0.21 ab 0.35 0.87 1.57
13 MatavenL Low 1.23 0.21 ab 0.35 0.88 1.58
14 Hoegrass High 1.30 0.21 ab 0.35 0.95 1.65
15 Topik Medium 1.37 0.20 ab 0.35 1.02 1.71
16 Wildcat Low 1.53 0.20 ab 0.35 1.19 1.88
17 MatavenL High 1.59 0.21 ab 0.35 1.23 1.94
18 Hussar High 1.66 0.20 ab 0.34 1.31 2.00
19 Achieve Low 1.68 0.21 ab 0.35 1.32 2.03
20 Tristar High 1.90 0.21 ab 0.35 1.55 2.25
21 Hussar Low 2.01 0.21 b 0.35 1.66 2.36
Aliased levels are: Achieve:Control, Atlantis:Control, Atlantis:Medium, Control:High, Control:Low, Control:Medium, Hoegrass:Control, Hussar:Control, Hussar:Medium, MatavenL:Control, MatavenL:Medium, Topik:Control, Tristar:Control, Tristar:Medium and Wildcat:Control
exercise 1 works
Analysis of Variance Table
Response: Yield
Df Sum Sq Mean Sq F value Pr(>F)
Variety 11 2.14254 0.194777 4.6796 0.0007707 ***
Residuals 24 0.99893 0.041622
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Variety predicted.value std.error df groups ci low up
1 Lang 1.97333 0.11779 24 a 0.20152 1.77181 2.17486
2 Drysdale 2.13000 0.11779 24 a 0.20152 1.92848 2.33152
3 Wylah 2.13000 0.11779 24 a 0.20152 1.92848 2.33152
4 Baxter 2.14000 0.11779 24 a 0.20152 1.93848 2.34152
5 Janz 2.19333 0.11779 24 ab 0.20152 1.99181 2.39486
6 Endure 2.24000 0.11779 24 ab 0.20152 2.03848 2.44152
7 Orion 2.27000 0.11779 24 ab 0.20152 2.06848 2.47152
8 Zippy 2.28333 0.11779 24 ab 0.20152 2.08181 2.48486
9 Fortune 2.52667 0.11779 24 ab 0.20152 2.32514 2.72819
10 Caryina 2.54000 0.11779 24 ab 0.20152 2.33848 2.74152
11 Pugsley 2.75000 0.11779 24 b 0.20152 2.54848 2.95152
12 Arrino 2.75333 0.11779 24 b 0.20152 2.55181 2.95486
exercise 2 works
Analysis of Variance Table
Response: Time
Df Sum Sq Mean Sq F value Pr(>F)
Treatment 5 4.2352 0.84704 6.4554 0.001331 **
Residuals 18 2.3619 0.13122
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Code
data.frame(lapply(pred2e.out, function(y) if (is.numeric(y)) round(y, 1) else y))
Output
Treatment predicted.value std.error df groups ci low up
1 KC 2.1 0.2 18 a 0.3 1.8 2.4
2 PE 2.2 0.2 18 a 0.3 1.9 2.5
3 HL 2.6 0.2 18 ab 0.3 2.3 2.9
4 CN 2.8 0.2 18 ab 0.3 2.5 3.1
5 HE 2.8 0.2 18 ab 0.3 2.5 3.1
6 CP 3.4 0.2 18 b 0.3 3.0 3.7
exercise 3 works
Analysis of Variance Table
Response: AverageFruitSize
Df Sum Sq Mean Sq F value Pr(>F)
Replicate 4 44.969 11.2421 12.696 1.092e-05 ***
Variety 6 134.623 22.4371 25.339 2.868e-09 ***
Residuals 24 21.251 0.8855
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Variety predicted.value std.error df groups ci low up
1 CarolinaCross 2.84 0.42 24 a 0.72 2.12 3.56
2 Pharoah 2.86 0.42 24 a 0.72 2.14 3.58
3 Phantom 3.08 0.42 24 ab 0.72 2.36 3.80
4 Hercules 4.70 0.42 24 ab 0.72 3.98 5.42
5 Melitopolski 4.78 0.42 24 b 0.72 4.06 5.50
6 Orangeglo 4.96 0.42 24 b 0.72 4.24 5.68
7 Sudanese 8.88 0.42 24 c 0.72 8.16 9.60
exercise 4 works
Analysis of Variance Table
Response: Yield
Df Sum Sq Mean Sq F value Pr(>F)
Block 3 1.94436 0.64812 4.9021 0.01434 *
SeedingRate 5 0.87353 0.17471 1.3214 0.30758
Residuals 15 1.98317 0.13221
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
exercise 5 works
Analysis of Variance Table
Response: EarInfect
Df Sum Sq Mean Sq F value Pr(>F)
row 1 2.71 2.710 0.2773 0.6049
col 1 2.67 2.668 0.2730 0.6077
Treatment 4 826.56 206.640 21.1476 1.327e-06 ***
Residuals 18 175.88 9.771
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Treatment predicted.value std.error df groups ci low up
1 Root 31.61 1.4 18 a 2.42 29.18 34.03
2 Seed 35.98 1.4 18 ab 2.42 33.55 38.40
3 Stalk 38.95 1.4 18 bc 2.42 36.53 41.38
4 Damage 43.52 1.4 18 cd 2.42 41.09 45.94
5 Silk 48.12 1.4 18 d 2.42 45.69 50.54
exercise 6 works
Analysis of Variance Table
Response: SugarYield
Df Sum Sq Mean Sq F value Pr(>F)
row 1 11.666 11.666 1.1452 0.30971
col 1 21.084 21.084 2.0696 0.18081
Treatment 3 172.965 57.655 5.6594 0.01574 *
Residuals 10 101.874 10.187
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Treatment predicted.value std.error df groups ci low up
1 T4 16.01 1.6 10 a 2.89 13.12 18.90
2 T8 17.51 1.6 10 ab 2.89 14.62 20.40
3 T12 21.40 1.6 10 ab 2.89 18.51 24.29
4 T0 24.39 1.6 10 b 2.89 21.50 27.28
exercise 7 works
Df denDF F.inc Pr
(Intercept) 1 4 65.47 1.267962e-03
Variety 6 24 25.34 2.868344e-09
Variety predicted.value std.error groups ci low up
1 CarolinaCross 2.84 0.69 a 1.18 1.66 4.02
2 Pharoah 2.86 0.69 a 1.18 1.68 4.04
3 Phantom 3.08 0.69 ab 1.18 1.90 4.26
4 Hercules 4.70 0.69 ab 1.18 3.52 5.88
5 Melitopolski 4.78 0.69 b 1.18 3.60 5.96
6 Orangeglo 4.96 0.69 b 1.18 3.78 6.14
7 Sudanese 8.88 0.69 c 1.18 7.70 10.06
exercise 8 works
Df denDF F.inc Pr
(Intercept) 1 3 910.800 7.990756e-05
SeedingRate 5 15 1.321 3.075796e-01
exercise 9 works
Df denDF F.inc Pr
(Intercept) 1 20 4333.0 0.000000e+00
Treatment 4 20 22.8 3.258972e-07
Treatment predicted.value std.error groups ci low up
1 Root 31.61 1.35 a 2.32 29.29 33.93
2 Seed 35.98 1.35 ab 2.32 33.66 38.30
3 Stalk 38.95 1.35 bc 2.32 36.63 41.27
4 Damage 43.52 1.35 cd 2.32 41.20 45.84
5 Silk 48.12 1.35 d 2.32 45.80 50.44
exercise 10 works
Df denDF F.inc Pr
(Intercept) 1 0.7 124.100 0.11595886
Treatment 3 10.0 5.659 0.01573632
Treatment predicted.value std.error groups ci low up
1 T4 16.01 1.6 a 2.89 13.12 18.90
2 T8 17.51 1.6 ab 2.89 14.62 20.40
3 T12 21.40 1.6 ab 2.89 18.51 24.29
4 T0 24.39 1.6 b 2.89 21.50 27.28
exercise 11 works
Df denDF F.inc Pr
(Intercept) 1 5.0 245.1000 1.931825e-05
Genotype 2 54.3 3.2210 4.765853e-02
Nitrogen 3 43.2 27.0500 5.270026e-10
Genotype:Nitrogen 6 50.1 0.2233 9.674091e-01
Genotype predicted.value std.error groups ci low up
1 Victory 97.68 7.15 a 11.97 85.71 109.65
2 GoldenRain 104.89 7.15 ab 11.97 92.92 116.86
3 Marvellous 109.35 7.16 b 11.98 97.37 121.33
Nitrogen predicted.value std.error groups ci low up
1 0 79.39 7.37 a 12.4 66.99 91.78
2 0.2 98.89 7.37 b 12.4 86.49 111.28
3 0.4 114.22 7.37 c 12.4 101.83 126.62
4 0.6 123.39 7.37 c 12.4 110.99 135.78
exercise 12 works
Df denDF F.inc Pr
(Intercept) 1 2 48.000 0.020205048
Variety 4 16 6.943 0.001937025
Irrigation 1 2 22.820 0.041135282
Variety:Irrigation 4 16 3.994 0.019643763
Variety Irrigation predicted.value std.error groups ci low up
1 Thumper Rainfed 4.61 0.99 a 1.73 2.88 6.34
2 Cobbler Rainfed 5.47 0.99 ab 1.73 3.74 7.20
3 Bravo Rainfed 5.91 0.99 b 1.73 4.18 7.64
4 Hyola Rainfed 6.19 0.99 bc 1.73 4.46 7.92
5 Victory Rainfed 6.43 0.99 bc 1.73 4.70 8.16
6 Thumper Irrigated 6.92 0.99 bc 1.73 5.19 8.65
7 Victory Irrigated 7.02 0.99 bc 1.73 5.29 8.75
8 Bravo Irrigated 7.68 0.99 c 1.73 5.95 9.41
9 Hyola Irrigated 7.70 0.99 c 1.73 5.97 9.43
10 Cobbler Irrigated 7.75 0.99 c 1.73 6.02 9.48
exercise 13 works
Df denDF F.inc Pr
(Intercept) 1 5.0 254.40 1.83e-05
Genotype 2 53.6 4.63 1.39e-02
Nitrogen 3 21.3 33.70 2.86e-08
Genotype:Nitrogen 6 50.3 0.30 9.34e-01
Genotype predicted.value std.error groups ci low up
1 Victory 97.41 7.04 a 11.79 85.62 109.20
2 GoldenRain 104.31 7.05 ab 11.81 92.50 116.12
3 Marvellous 110.07 7.04 b 11.79 98.28 121.86
Nitrogen predicted.value std.error groups ci low up
1 0 79.44 7.11 a 12.23 67.21 91.67
2 0.2 98.82 7.11 b 12.23 86.58 111.05
3 0.4 114.08 7.11 c 12.23 101.85 126.32
4 0.6 123.37 7.10 c 12.21 111.16 135.58
exercise 14 works
Df denDF F.inc Pr
(Intercept) 1 17.7 23710.000 0.000000e+00
Genotype 49 69.4 5.089 4.795863e-10
Genotype predicted.value std.error groups ci low up
1 G36 3.68 0.09 a 0.15 3.53 3.83
2 G28 3.79 0.09 ab 0.15 3.64 3.94
3 G30 3.90 0.09 abc 0.15 3.75 4.05
4 G46 3.91 0.09 abcd 0.15 3.76 4.05
5 G23 3.92 0.09 abcde 0.15 3.77 4.07
6 G29 3.96 0.09 abcdef 0.15 3.81 4.10
7 G07 3.96 0.09 abcdef 0.15 3.81 4.11
8 G21 3.98 0.09 abcdefg 0.15 3.83 4.13
9 G45 3.98 0.09 abcdefg 0.15 3.83 4.13
10 G33 4.02 0.09 abcdefgh 0.15 3.87 4.17
11 G49 4.03 0.09 abcdefgh 0.15 3.89 4.18
12 G06 4.04 0.09 abcdefgh 0.15 3.89 4.18
13 G38 4.06 0.09 abcdefgh 0.15 3.91 4.21
14 G27 4.06 0.09 abcdefgh 0.15 3.91 4.21
15 G43 4.06 0.09 abcdefgh 0.15 3.92 4.21
16 G19 4.07 0.09 abcdefgh 0.15 3.92 4.22
17 G15 4.12 0.09 abcdefgh 0.15 3.98 4.27
18 G31 4.13 0.09 abcdefgh 0.15 3.98 4.28
19 G24 4.13 0.09 abcdefgh 0.15 3.98 4.28
20 G48 4.15 0.09 abcdefgh 0.15 4.00 4.30
21 G34 4.15 0.09 abcdefgh 0.15 4.00 4.30
22 G05 4.15 0.09 abcdefgh 0.15 4.00 4.30
23 G18 4.16 0.09 abcdefgh 0.15 4.01 4.31
24 G37 4.16 0.09 bcdefgh 0.15 4.01 4.31
25 G47 4.18 0.09 abcdefgh 0.15 4.03 4.33
26 G08 4.18 0.09 abcdefgh 0.15 4.03 4.33
27 G25 4.19 0.09 bcdefgh 0.15 4.05 4.34
28 G26 4.19 0.09 abcdefgh 0.15 4.05 4.34
29 G13 4.20 0.09 bcdefgh 0.15 4.05 4.34
30 G35 4.21 0.09 bcdefgh 0.15 4.06 4.35
31 G44 4.22 0.09 bcdefgh 0.15 4.07 4.37
32 G39 4.23 0.09 bcdefgh 0.15 4.08 4.38
33 G14 4.26 0.09 bcdefgh 0.15 4.11 4.41
34 G41 4.27 0.09 bcdefgh 0.15 4.12 4.42
35 G01 4.31 0.09 bcdefgh 0.16 4.15 4.46
36 G10 4.31 0.09 cdefgh 0.15 4.16 4.46
37 G03 4.33 0.09 cdefgh 0.15 4.18 4.47
38 G16 4.33 0.09 cdefgh 0.15 4.18 4.48
39 G32 4.33 0.09 cdefgh 0.15 4.18 4.48
40 G22 4.34 0.09 cdefgh 0.15 4.19 4.49
41 G20 4.36 0.09 cdefgh 0.15 4.21 4.51
42 G02 4.36 0.09 cdefgh 0.15 4.22 4.51
43 G40 4.38 0.09 cdefgh 0.15 4.22 4.53
44 G11 4.38 0.09 cdefgh 0.15 4.23 4.54
45 G42 4.41 0.09 defgh 0.15 4.27 4.56
46 G09 4.42 0.09 efgh 0.15 4.27 4.57
47 G50 4.43 0.09 efgh 0.15 4.28 4.58
48 G17 4.43 0.09 fgh 0.15 4.29 4.58
49 G12 4.49 0.09 gh 0.15 4.33 4.64
50 G04 4.52 0.09 h 0.15 4.37 4.67
exercise 15 works
Df denDF F.inc Pr
(Intercept) 1 4.7 433.300 8.380984e-06
Control 1 15.2 17.600 7.572642e-04
Season 1 16.1 7.289 1.570468e-02
Rate 2 15.0 6.489 9.355453e-03
Season:Rate 2 20.8 1.352 2.804897e-01
Control predicted.value std.error groups ci low up
1 No 2.37 0.13 a 0.22 2.14 2.59
2 Yes 3.06 0.17 b 0.30 2.76 3.36
Rate predicted.value std.error groups ci low up
1 12 1.99 0.17 a 0.29 1.70 2.29
2 3 2.48 0.17 ab 0.29 2.18 2.77
3 6 2.62 0.17 bc 0.30 2.33 2.92
4 0 3.06 0.17 c 0.30 2.76 3.36
Season predicted.value std.error groups ci low up
1 F 2.14 0.15 a 0.26 1.88 2.40
2 S 2.59 0.15 b 0.27 2.33 2.86
3 O 3.06 0.17 c 0.30 2.76 3.36
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