If One Takes the Assured B The subjective loss of the B by taking the test is too large relative to the gain of getting an A. One would not gamble for the A. The distance AB is shorter than the distance BC.
Examples Centigrade and Fahrenheit temperature scale. Both based on the Freezing And boiling point of water.
The underling concept is mean molecular motion. Centigrade scale starts at zero and has 100 equal intervals. Fahrenheit scale starts at 32 and ends at 212 with 180 equal appearing intervals
The Distances Between Rank Orders Is Equal The distance from 20 degrees to 30 degrees is the same as the distance between 75 degrees and 85 degrees, or -75 degrees and -85 degrees. There Are Ten Degrees Of Difference
One Can Use Most Of The Mathematical Operations With Interval Scales ADD, Subtract, Multiply, Divide, Square, and Take Square Root. Will be used in most of the statistical methods covered below.
Ratio Scale The most powerful of the scale. An Absolute Zero. Includes Nominal, Ordinal and Interval Scales Equal Intervals. The Ratio Between Intervals Are Equal
Example Kelvin or Absolute Zero Temperature scale. Defined as that point where all molecular motion (Brownian movement) stops. There is no true Ratio scale in Psychology
DATA ORGANIZATION Frequency Distribution A distribution that counts the number of individuals obtaining a given score and arranges those counts in a rank order from high to low or low to high (ordinal scale).