Results
A correlation between the temperature of the counting day in Celsius and the amount of Uca minax fiddler crabs counted on both sides of Spermaceti Cove concluded that they have a slightly positive correlation of .31056. Evidentially, on a warmer day, more fiddler crabs will be spotted, as past counting sessions have shown (see Figure 1).
Mean, standard deviation, and variance of the 2016-2017 baseline data set and the 2017-2018 data set were calculated in order to determine the spread of the data. (see Figure 2).
The variance of both years varied greatly between both sides of Spermaceti Cove. For example, the variance of the North side of the cove during 2016-2017 is 28,835.8, while the variance during 2017-2018 is only 5,586.5, meaning that the amount of crabs counted in the latter data set have values much closer together than in the 2016-2017 data set.
On the other hand, the difference in variance between the South side of the cove between both data sets is significantly less, with a variance of 48,062.8 in the 2016-2017 data set and 47,435.1. This means that the amount of crabs spotted on the South side were relatively close to each other each counting session. The same is true of the standard deviation between both sides of Spermaceti Cove, with a bigger difference of standard deviation on the North side than on the South side in both data sets.
The amount of fiddler crabs counted in the summer months, June, July, and August, of 2016 and 2017 were statistically compared using a t-test to determine the differences between the summers of both years. Using a t-distribution table, the t-test number with an alpha level of .05 and 5 degrees of freedom should have been 2.015, not the 1.943 that was calculated.
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| Figure 1: Above is a table of the date the crabs were counted, with the amount of crabs counted and the temperature in Celsius. It is shown that a higher temperature also yields a higher amount of fiddler crabs counted the majority of the time. |
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| Figure 2: This table breaks up the data from the 2016-2017 and 2017-2018 data collection sets, which are then further broken down into the amount of crabs counted on the North and South side of Spermaceti Cove during each counting session. Then the columns were totaled and the amount of crabs found on each side of the cove were averaged, which was then used to derived the variance and standard deviation of each set. |
On the other hand, the difference in variance between the South side of the cove between both data sets is significantly less, with a variance of 48,062.8 in the 2016-2017 data set and 47,435.1. This means that the amount of crabs spotted on the South side were relatively close to each other each counting session. The same is true of the standard deviation between both sides of Spermaceti Cove, with a bigger difference of standard deviation on the North side than on the South side in both data sets.
The amount of fiddler crabs counted in the summer months, June, July, and August, of 2016 and 2017 were statistically compared using a t-test to determine the differences between the summers of both years. Using a t-distribution table, the t-test number with an alpha level of .05 and 5 degrees of freedom should have been 2.015, not the 1.943 that was calculated.
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