Nominal Ordinal Interval Ratio Some Definitions Variable Some Definitions Variable Attribute Attribute Some Definitions Gender Variable Attribute Attribute Some Definitions Gender Female ID: 1018971
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1. Levels of Measurement
2. The Levels of MeasurementNominalOrdinalIntervalRatio
3. Some DefinitionsVariable
4. Some DefinitionsVariableAttributeAttribute
5. Some DefinitionsGenderVariableAttributeAttribute
6. Some DefinitionsGenderFemaleMaleVariableAttributeAttribute
7. Qualities of VariablesExhaustive -- Should include all possible answerable responses.Mutually exclusive -- No respondent should be able to have two attributes simultaneously (for example, employed vs. unemployed -- it is possible to be both if looking for a second job while employed).
8. What Is Level of Measurement?The relationship of the values that are assigned to the attributes for a variable
9. What Is Level of Measurement?The relationship of the values that are assigned to the attributes for a variableRelationship
10. What Is Level of Measurement?The relationship of the values that are assigned to the attributes for a variable123RelationshipValues
11. What Is Level of Measurement?The relationship of the values that are assigned to the attributes for a variable123RelationshipValuesAttributesRepublicanIndependentDemocrat
12. What Is Level of Measurement?The relationship of the values that are assigned to the attributes for a variable123RelationshipValuesAttributesVariableRepublicanIndependentDemocratParty Affiliation
13. Why Is Level of Measurement Important?Helps you decide what statistical analysis is appropriate on the values that were assignedHelps you decide how to interpret the data from that variable
14. Nominal MeasurementThe values “name” the attribute uniquely.
15. Nominal MeasurementThe values “name” the attribute uniquely.The name does not imply any ordering of the cases.
16. Nominal MeasurementThe values “name” the attribute uniquely.The value does not imply any ordering of the cases, for example, jersey numbers in football.
17. Nominal MeasurementThe values “name” the attribute uniquely.The value does not imply any ordering of the cases, for example, jersey numbers in football.Even though player 32 has higher number than player 19, you can’t say from the data that he’s greater than or more than the other.
18. Ordinal MeasurementWhen attributes can be rank-ordered…
19. Ordinal MeasurementWhen attributes can be rank-ordered…Distances between attributes do not have any meaning.
20. Ordinal MeasurementWhen attributes can be rank-ordered…Distances between attributes do not have any meaning,for example, code Educational Attainment as 0=less than H.S.; 1=some H.S.; 2=H.S. degree; 3=some college; 4=college degree; 5=post college
21. Ordinal MeasurementWhen attributes can be rank-ordered…Distances between attributes do not have any meaning,for example, code Educational Attainment as 0=less than H.S.; 1=some H.S.; 2=H.S. degree; 3=some college; 4=college degree; 5=post collegeIs the distance from 0 to 1 the same as 3 to 4?
22. Interval MeasurementWhen distance between attributes has meaning…
23. Interval MeasurementWhen distance between attributes has meaning, for example, temperature (in Fahrenheit) -- distance from 30-40 is same as distance from 70-80
24. Interval MeasurementWhen distance between attributes has meaning, for example, temperature (in Fahrenheit) -- distance from 30-40 is same as distance from 70-80Note that ratios don’t make any sense -- 80 degrees is not twice as hot as 40 degrees (although the attribute values are).
25. Ratio MeasurementHas an absolute zero that is meaningful
26. Ratio MeasurementHas an absolute zero that is meaningfulCan construct a meaningful ratio (fraction)
27. Ratio MeasurementHas an absolute zero that is meaningfulCan construct a meaningful ratio (fraction), for example, number of clients in past six months
28. Ratio MeasurementHas an absolute zero that is meaningfulCan construct a meaningful ratio (fraction), for example, number of clients in past six monthsIt is meaningful to say that “...we had twice as many clients in this period as we did in the previous six months.
29. The Hierarchy of LevelsNominal
30. The Hierarchy of LevelsNominalAttributes are only named; weakest
31. The Hierarchy of LevelsNominalAttributes are only named; weakestOrdinal
32. The Hierarchy of LevelsNominalAttributes are only named; weakestAttributes can be orderedOrdinal
33. The Hierarchy of LevelsNominalIntervalAttributes are only named; weakestAttributes can be orderedOrdinal
34. The Hierarchy of LevelsNominalIntervalAttributes are only named; weakestAttributes can be orderedDistance is meaningfulOrdinal
35. The Hierarchy of LevelsNominalIntervalRatioAttributes are only named; weakestAttributes can be orderedDistance is meaningfulOrdinal
36. The Hierarchy of LevelsNominalIntervalRatioAttributes are only named; weakestAttributes can be orderedDistance is meaningfulAbsolute zeroOrdinal