# NAU EPS 525 - MEASUREMENT SCALES (2 pages)

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# MEASUREMENT SCALES

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## MEASUREMENT SCALES

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Pages:
2
School:
Northern Arizona University
Course:
Eps 525 - Introduction to Statistics

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MEASUREMENT SCALES NOMINAL ORDINAL INTERVAL AND RATIO SCALES Statistics deals with data and data are the result of measurement The type of measuring scale employed in collecting the data helps determine which statistical inference test is used to analyze the data Theoretically a measuring scale can have one or more of the following mathematical attributes Magnitude An equal interval between adjacent units An absolute zero point Four 4 types of scales are commonly encountered in the behavioral sciences nominal ordinal interval and ratio They differ in the number of mathematical attributes that they possess A NOMINAL SCALES A nominal scale is the lowest level of measurement and is most often used with variables that are qualitative categorical in nature rather than quantitative continuous When a nominal scale is used the variable is divided into its several categories These categories comprise the units of the scale and objects are measured by determining the category to which they belong Measurement with a nominal scale really amounts to classifying the objects and giving them the name hence nominal scale of the category to which they belong It is important to note that because the units of a nominal scale are categories there is no magnitude relationship between the units of a nominal scale That is there is no quantitative relationship between the categories A fundamental property of nominal scales is that of equivalence All members of a given class are the same from the standpoint of the classification variable An operation often performed in conjunction with nominal measurement is that of counting the instances within each class The frequency allows us to compare the number of items within each category A nominal scale does not posses any of the mathematical attributes of magnitude equal interval or absolute zero point It merely allows categorization of objects into mutually exclusive categories B ORDINAL SCALES An ordinal scale represents the next higher level of

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