Behavioral Genetics: Blood Type Survey Results

To begin, we distributed copies of the Blood Type Survey to a mixed population of students, staff and faculty at Carleton College. From the initial surveys we selected for both A and O bloodtypes who had a strong aversion to either Diet 1 or Diet 4 (n=94). The observed food aversions for both blood types are shown below in Table 1.

Table 1: Observed Food Aversion
---- A O
Diet 1 11 24
Diet 4 41 18

After we tallied the observed diet aversions, we calculated the expected food aversions for A and O blood types based upon our sample size. The expected food aversions are shown in Table 2. We used the following formula to derive the expected food aversion values:

expected = (row_total * column_total) / table_total

Table 2: Expected Food Aversion
---- A O
Diet 1 19.36 15.64
Diet 4 32.64 26.36

We used the observed and expected values to perform a chi-squared statistical test on our data. The following formula was used to derive the numbers shown below in Table 3:

X = (observed - expected)2 / expected

Table 3
---- A O
Diet 1 3.61 4.47
Diet 4 2.14 2.65

Using the values presented in Table 3 we calculated the chi-squared and p values for our data set. The formulas we used are shown below and the derived values are shown in Table 4.

chi-squared = Xcell1 + Xcell2 + Xcell3 + Xcell4

degrees_of_freedom = (number_of_rows - 1) * (number_of_columns - 1)

Table 4
Chi-squared Degrees of Freedom p
12.87 1 < .0005

A 1 degree of freedom along with the chi-squared value of 12.87 revealed that our data is statistically significant (p < .0005). In other words, there is a > 99% chance that our data means something.


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