Which of the following expresses a correct distinction between an ordinal and interval scale
There are four scales of measurement: Nominal, Ordinal, Interval, Ratio. Show These are considered under qualitative and quantitative data as under: Qualitative data:
In this scale, categories are nominated names (hence “nominal”). There is no inherent order between categories. Put simply, one cannot say that a particular category is superior/ better than another. Examples:
The various categories can be logically arranged in a meaningful order. However, the difference between the categories is not “meaningful”. Examples:
Quantitative data:
The values (not categories) can be ordered and have a meaningful difference, but doubling is not meaningful. This is because of the absence of an “absolute zero”. Example: The Celsius scale: The difference between 40 C and 50 C is the same as that between 20 C and 30 C (meaningful difference = equidistant). Besides, 50 C is hotter than 40 C (order). However, 20 C is not half as hot as 40 C and vice versa (doubling is not meaningful). Meaningful difference: In the Celsius scale, the difference between each unit is the same anywhere on the scale- the difference between 49 C and 50 C is the same as the difference between any two consecutive values on the scale ( 1 unit).[Thus, (2-1)= (23-22)= (40-39)=(99-98)= 1].
The values can be ordered, have a meaningful difference, and doubling is also meaningful. There is an “absolute zero”. Examples:
In addition, quantitative data may also be classified as being either Discrete or Continuous. Discrete: The values can be specific numbers only. Fractions are meaningless. In some situations, mathematical functions are not possible, too. Examples:
Continuous: Any numerical value (including fractions) is possible and meaningful. Examples:
Most of the numerical data we use is continuous. As you might have noticed by now, the Ratio scale often involves continuous data [Temperature is an exception, unless the Kelvin scale is being used]. http://en.wikibooks.org/wiki/Statistics/Different_Types_of_Data/Quantitative_and_Qualitative_Data http://www.cimt.plymouth.ac.uk/projects/mepres/book7/bk7i11/bk7_11i1.htm Click to access 03a_continuous_descriptive.slides.pdf What is the difference between ordinal scale and interval scale?Ordinal scale has all its variables in a specific order, beyond just naming them. Interval scale offers labels, order, as well as, a specific interval between each of its variable options.
What is the main difference between an ordinal scale and an interval scale and between an interval scale and a ratio scale?The difference between interval and ratio scales comes from their ability to dip below zero. Interval scales hold no true zero and can represent values below zero. For example, you can measure temperature below 0 degrees Celsius, such as -10 degrees. Ratio variables, on the other hand, never fall below zero.
What is the primary difference between ordinal and interval variables?1. Ordinal data are most concerned about the order and ranking while interval data are concerned about the differences of value within two consecutive values. 2. Ordinal data place an emphasis on the position on a scale while interval data are on the value differences of two values in a scale.
Is a scale of 1 10 ordinal or interval?An ordinal variable, is one where the order matters but not the difference between values. For example, you might ask patients to express the amount of pain they are feeling on a scale of 1 to 10. A score of 7 means more pain than a score of 5, and that is more than a score of 3.
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