A study was conducted by a level 200 student who investigated whether there is a difference in the abundance of three invertebrate phyla’s (moulluscs, arthropods and annelids) in the Vaughan dam in the Legon botanical gardens. Determine whether there is a difference in the abundance of the three groups of invertebrates. Assume the data is not normally distributed. Table2: Invertebrate abundance in the Vaughan dam Molluscs Annelids Arthropods 25 17 20 15 23 26 20 13 23 30 24 18
A study was conducted by a level 200 student who investigated whether there is a difference in the abundance of three invertebrate phyla’s (moulluscs, arthropods and annelids) in the Vaughan dam in the Legon botanical gardens. Determine whether there is a difference in the abundance of the three groups of invertebrates. Assume the data is not
Table2: Invertebrate abundance in the Vaughan dam
| Molluscs | Annelids | Arthropods |
| 25 | 17 | 20 |
| 15 | 23 | 26 |
| 20 | 13 | 23 |
| 30 | 24 | 18 |
To do the test, we will apply an analysis of variance of a factor with three levels, for this we will assume that the samples are normal with the same variance and independent.
Note that to apply the formulas we must first know the sum of all the observations, both the original data and the squared data. This information is summarized in the following two tables
Squared data:
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