Thus, some argue that so long as the unknown interval difference between ordinal scale ranks is not too variable, interval scale statistics such as means can meaningfully be used on ordinal scale variables.
12.
Percentile ranks are not on an equal-interval scale; that is, the difference between any two scores is not the same between any other two scores whose difference in percentile ranks is the same.
13.
It would appear that Raven was one of the very few people ( another was Louis Guttman ) who appreciated the importance of developing tests which yielded something approaching an interval scale ( although that term was not the stated objective of either author ).
14.
In 1947, John von Neumann and Oskar Morgenstern proved that any individual whose preferences satisfied four axioms has a utility function; such an individual's preferences can be represented on an interval scale and the individual will always prefer actions that maximize expected utility.
15.
Responses to several Likert questions may be summed providing that all questions use the same Likert scale and that the scale is a defensible approximation to an interval scale, in which case the Central Limit Theorem allows treatment of the data as interval data measuring a latent variable.
16.
For example, most temperature scales ( e . g ., Celsius, Fahrenheit etc . ) are interval scales that can take both positive and negative values, whereas the Kelvin temperature can never be less than zero, which is the complete absence of thermal energy.
17.
A "'Quantitative Imaging Biomarkers "'( QIB ) is " an objective characteristic derived from an in vivo image measured on a ratio or interval scale as indicators of normal biological processes, pathogenic processes or a response to a therapeutic intervention ".
18.
The most general approach is to treat it as an ordinal scale, but it can be argued that the neutral response ( i . e . the middle alternative on the scale ) serves as an arbitrary zero point, and that the intervals between the scale values can be treated as equal, making it an interval scale.
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