Define each of the four levels of measurement (nominal, ordinal, interval, and ratio) and give an example of each. Also, explain the special case of dichotomies in levels of measurement and give an example of a dichotomous level of measurement.

What will be an ideal response?

Nominal--variables whose values have no mathematical interpretation such as race; ordinal--a measurement of a variable in which the numbers indicating a variable's values specify only the order of the cases, permitting “greater than” and “less than” distinctions; interval--a measurement of a variable in which the numbers indicating a variable's values represent fixed measurement units but have no absolute zero point such as temperature in degrees Fahrenheit; ratio--a measurement of a variable in which the number indicating a variable's values represent fixed measuring units and an absolute zero such as age since it can be added and subtracted; dichotomy--variables having only two values such as gender.