(a) State an appropriate model. (b) By using ANOVA, test for (1) equality in cell means. (ii) the significance of interaction effects between proportion of watering and growth stage. (iii) the significance of growth stage effects. Use a = 0.05.

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Question 3
A farmer plants ginger as a main crop in his farm all year long because ginger can
be harvested multiple times throughout its growth stages. The farmer studied the
effects of proportion of watering (ml) per day and different growth stages on the
crop yield (kg) in his farm. The below table records the ginger crop yielded (kg) for
different growth stages and different proportions of watering. Each watering setting
has four rows of crops to rule out other factors.
Proportion of watering (ml)
Growth Stage
50
65
80
130, 155
34, 40
20, 70
1
74, 180
80, 75
82, 58
150, 188
136, 122
25, 70
159, 126
106, 115
58, 45
138, 110
174, 120
96, 104
3
168,170
150, 139
82, 60
Transcribed Image Text:Question 3 A farmer plants ginger as a main crop in his farm all year long because ginger can be harvested multiple times throughout its growth stages. The farmer studied the effects of proportion of watering (ml) per day and different growth stages on the crop yield (kg) in his farm. The below table records the ginger crop yielded (kg) for different growth stages and different proportions of watering. Each watering setting has four rows of crops to rule out other factors. Proportion of watering (ml) Growth Stage 50 65 80 130, 155 34, 40 20, 70 1 74, 180 80, 75 82, 58 150, 188 136, 122 25, 70 159, 126 106, 115 58, 45 138, 110 174, 120 96, 104 3 168,170 150, 139 82, 60
(a)
State an appropriate model.
(b) By using ANOVA, test for
(i) equality in cell means.
(ii) the significance of interaction effects between proportion of watering
and growth stage.
(iii) the significance of growth stage effects.
Use a = 0.05.
%3D
Transcribed Image Text:(a) State an appropriate model. (b) By using ANOVA, test for (i) equality in cell means. (ii) the significance of interaction effects between proportion of watering and growth stage. (iii) the significance of growth stage effects. Use a = 0.05. %3D
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