A core Course on Modeling Introduction to Modeling 0LAB0 0LBB0 0LCB0 0LDB0 S.8.

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A core Course on Modeling Introduction to Modeling 0LAB0 0LBB0 0LCB0 0LDB0 S.8

Properties: serve to distinguish and sometimes to order concepts

ordering level 1: nominal only to distinguish individuals numbers may be nominal: telephone numbers telephone numbers lottery numbers lottery numbers social security numbers social security numbers......

ordering level 1: nominal only to distinguish individuals numbers may be nominal: telephone numbers telephone numbers lottery numbers lottery numbers social security numbers social security numbers......

ordering level 2: ranking impose an order onto pairs of individuals garian_Navy_-_sleeve_insignia.png partial order: order between some pairs total order: order between all pairs

ordering level 2: ranking impose an order onto pairs of individuals garian_Navy_-_sleeve_insignia.png partial order: order between some pairs total order: order between all pairs

ordering level 2: ranking impose an order onto pairs of individuals garian_Navy_-_sleeve_insignia.png physics: Mohs scale (hardness of minerals) Mohs scale (hardness of minerals) social sciences: preferences preferences

ordering level 3: difference ( or: Interval ) scale difference between values has meaning physics: heat transfer  temperature difference heat transfer  temperature difference potential energy potential energy centigrade scale ( 0 C) centigrade scale ( 0 C) water height (river) water height (river)finance:  growth  growth credit / debt credit / debt

ordering level 4: ratio scale ratio between values has meaning ntale_trois_longueurs_petit.gif length: 1 : ½ : 1 / 3 frequency: 1 : 2 : 3 physics: heat contents  absolute temperature (K) heat contents  absolute temperature (K) kinetic energy kinetic energy Kelvin scale (K) Kelvin scale (K) water flow (m 3 /s) water flow (m 3 /s)finance: % growth % growth assets assetsphysics: heat transfer  temperature difference heat transfer  temperature difference potential energy potential energy centigrade scale ( 0 C) centigrade scale ( 0 C) water height (river) water height (river)finance:  growth  growth credit / debt credit / debt

nominal partial / total ordinal intervalratio frequency distribution yes median add, subtract multiply, divide operation restrictions per ordering level:

nominal partial / total ordinal intervalratio frequency distribution yes mediannono / yesyes add, subtract multiply, divide operation restrictions per ordering level:

nominal partial / total ordinal intervalratio frequency distribution yes mediannono / yesyes add, subtractno yes multiply, divide operation restrictions per ordering level:

nominal partial / total ordinal intervalratio frequency distribution yes mediannono / yesyes add, subtractno yes multiply, divideno yes operation restrictions per ordering level: