2. An experiment was conducted to test the effects of nitrogen fertilizer on lettuce production. Five...
2. An experiment was conducted to test the effects of nitrogen fertilizer on lettuce production. Five rates of ammonium nitrate were applied to four replicate plots in a completely randomized design. The data are the number of heads of lettuce harvested from the plot.
|
Treatment (lb N/acre) |
Head of lecture/plot |
|||
|
0 |
104 |
114 |
90 |
140 |
|
50 |
134 |
130 |
144 |
174 |
|
100 |
146 |
142 |
152 |
156 |
|
150 |
147 |
160 |
160 |
163 |
|
200 |
131 |
148 |
154 |
163 |
- Write the linear statistical model for this study, and explain the model components.
- State the assumptions necessary for an analysis of variance of the data.
- Compute the analysis of variance for the data.
- Compute the least squares means and their standard errors for each nitrogen level.
- Compute the 95 % confidence interval estimates of the nitrogen level means.
- Test the hypothesis of no difference among the means of the nitrogen levels with the F test at the .05 level of significance.
- Write the normal equations for the data.
- This experiment was conducted in a completely randomized design with the field plots in a 4 x 5 rectangular array of plots. Show a randomization of the five nitrogen treatments to the 20 plots using a random permutation of the numbers 1 through 20.
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