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# Arbitrary Zero Point in an Interval Scale

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1. What are the implications of having an arbitrary zero point in an interval scale? Define your terms, and explain your response in detail.

2. Describe paired comparison scaling. What are the advantages and disadvantages of this approach? Give an example of an appropriate use of paired comparison scaling, and explain why this scaling method is appropriate in your example.

3. Search the Internet for two examples of each of the four primary types of scales. Write an essay describing the context in which these scales are being used.

#### Solution Preview

1. What are the implications of having an arbitrary zero point in an interval scale? Define your terms, and explain your response in detail.

The implication of having an arbitrary zero point in an interval scale is that the zero is arbitrary so that the intervals can be measure with accuracy. The degree of difference between items can be measured but the ratio between them cannot be measured. For example, the difference between 12th April 2013 and January 12th 2014 can be measured. However, the origin of dates is arbitrary. The focus is on differences and not on absolute ratio. For example, when measuring temperature in Celsius, the 0 does not mean that zero degrees Celsius there is no temperature. Zero degree is an arbitrary point. Even though the zero is arbitrary, the measures of central tendency can be used. For example, range and standard deviation can be measured efficiently. The central moments are meaningful. The interval scale gives information about magnitude. The information is about relative positions (Lomax. R, 2007). For example, the intervals between numbers are equally. For example, the difference between 2 and 1 is the same as the difference between 10 and 9. When there is an ...

#### Solution Summary

The answer to this problem explains common scaling methods in research instrument development. The references related to the answer are also included.

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