what is the level of measurement for the following question?
1) the SAT scores for the GEORGE W BUSH white house staff.
It is nominal, interval, ordinal, or rational? Why?
The level of measurement for the given question is interval.
Interval measurement involves assigning scores or values to the variables of interest, where the distances or differences between values are meaningful and can be compared. In the case of the SAT scores for the GEORGE W BUSH white house staff, SAT scores are measured on a continuous scale, where the differences between scores have meaning. For example, the difference between a score of 1200 and 1300 is seen as a difference of 100 points, which holds the same meaning throughout the scale.
On the other hand, nominal measurement, which is the simplest level of measurement, allows for categorizing without any inherent order or meaningful differences between categories. Ordinal measurement, on the other hand, allows for ranking or ordering data, but the distances or differences between the categories are not necessarily equal. Lastly, rational measurement involves the presence of a true zero point, which is absent in the case of SAT scores since zero does not represent an absence of the variable being measured.