An experiment was conducted to study growth characteristics of 8different provenances (regions of natural occurrence) of Gmelinaarborea (a tree native to southern Asia). There are three plotsavailable for planting, so one tree of each provenance is plantedin each plot. The response variable is the diameter of each tree(in centimeters) at breast height (1.4 meters above ground).
What type of design is being used in this experiment?
Perform the appropriate analysis to evaluate the differences inmean diameter at breast height of the eight provenances.
Which provenance(s), if any, has (have) largest mean diameter atbreast height?
Comment on the effectiveness of the design in increasing theefficiency of the experiment.
| Provenance | Plot | Diameter |
| 1 | 1 | 30.85 |
| 1 | 2 | 38.01 |
| 1 | 3 | 35.1 |
| 2 | 1 | 30.24 |
| 2 | 2 | 28.43 |
| 2 | 3 | 35.93 |
| 3 | 1 | 30.94 |
| 3 | 2 | 31.64 |
| 3 | 3 | 34.95 |
| 4 | 1 | 29.89 |
| 4 | 2 | 29.12 |
| 4 | 3 | 36.75 |
| 5 | 1 | 21.52 |
| 5 | 2 | 24.07 |
| 5 | 3 | 20.76 |
| 6 | 1 | 25.38 |
| 6 | 2 | 32.14 |
| 6 | 3 | 32.19 |
| 7 | 1 | 22.89 |
| 7 | 2 | 19.66 |
| 7 | 3 | 26.92 |
| 8 | 1 | 29.44 |
| 8 | 2 | 24.95 |
| 8 | 3 | 37.99 |
