A core course on modeling
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A core Course on Modeling. Introduction to Modeling 0LAB0 0LBB0 0LCB0 0LDB0 [email protected] [email protected] S.8. Properties : serve to distinguish and sometimes to order concepts. ordering level 1: nominal only to distinguish individuals.

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A core Course on Modeling

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A core course on modeling

A core Course on Modeling

Introductionto Modeling

0LAB0 0LBB0 0LCB0 0LDB0

[email protected]

[email protected]

S.8


A core course on modeling

Properties:

serve todistinguish

andsometimes

toorder concepts


A core course on modeling

ordering level 1:

nominal

onlytodistinguishindividuals

http://commons.wikimedia.org/wiki/File:Stamp_collection.jpg

  • numbersmaybenominal:

  • telephonenumbers

  • lotterynumbers

  • social security numbers

  • ...


A core course on modeling

ordering level 1:

nominal

onlytodistinguishindividuals

QUIZ

Numberscanoccur as nominallabels.

Typically, numbers are usedfor ordering.

Givean example of orderingwithoutnumbersinvolved.

http://commons.wikimedia.org/wiki/File:Stamp_collection.jpg

  • numbersmaybenominal:

  • telephonenumbers

  • lotterynumbers

  • social security numbers

  • ...


A core course on modeling

ordering level 2:

ranking

imposean order onto pairs of individuals

http://commons.wikimedia.org/wiki/File:Commissioned_Officer_Rank_Structure_of_the_Bulgarian_Navy_-_sleeve_insignia.png

partial order:

order betweensome pairs

total order:

order betweenall pairs


A core course on modeling

ordering level 2:

ranking

imposean order onto pairs of individuals

QUIZ

Numbers are totallyordered: foranytwo non-equalnumbers, one of the two is bigger.

Whataboutintervals ([p,q])?

Whataboutfractions (p/q, p and q are both integers)?

Whatabout complex numbers?

http://commons.wikimedia.org/wiki/File:Commissioned_Officer_Rank_Structure_of_the_Bulgarian_Navy_-_sleeve_insignia.png

partial order:

order betweensome pairs

total order:

order betweenall pairs


A core course on modeling

ordering level 2:

ranking

imposean order onto pairs of individuals

http://commons.wikimedia.org/wiki/File:Commissioned_Officer_Rank_Structure_of_the_Bulgarian_Navy_-_sleeve_insignia.png

  • physics:

  • Mohsscale (hardness of minerals)

  • socialsciences:

  • preferences


A core course on modeling

ordering level 3:

difference (or:Interval) scale

differencebetweenvalues has meaning

http://commons.wikimedia.org/wiki/File:Keyboard_of_grand_piano_-_Steinway_%26_Sons_(Hamburg_factory).jpg

  • physics:

    • heat transfer  temperaturedifference

    • potential energy

    • centigradescale (0C)

    • water height (river)

  • finance:

    •  growth

    • credit / debt


A core course on modeling

ordering level 4:

ratio scale

ratio betweenvalues has meaning

length:

1 : ½ : 1/3

frequency:

1 : 2 : 3

http://commons.wikimedia.org/wiki/File:Vibration_corde_fondamentale_trois_longueurs_petit.gif

  • physics:

    • heat transfer  temperaturedifference

    • potential energy

    • centigradescale (0C)

    • water height (river)

  • finance:

    •  growth

    • credit / debt

  • physics:

    • heat contents  absolute temperature (K)

    • kinetic energy

    • Kelvin scale (K)

    • water flow (m3/s)

  • finance:

    • % growth

    • assets


A core course on modeling

operationrestrictions per ordering level:


A core course on modeling

operationrestrictions per ordering level:


A core course on modeling

operationrestrictions per ordering level:


A core course on modeling

operationrestrictions per ordering level:


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