Difference between revisions of "Página de pruebas 3"

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{| class="wikitable"
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! rowspan="2" |
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! rowspan="2" |
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! rowspan="2" style="width:80px;" |Values have any meaningful order
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! rowspan="2" style="width:80px;" |Distance between values is defined
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! colspan="3" style="width:80px;" |'''Mathematical operations make sense'''
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(Values can be used to perform '''mathematical operations)'''
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! rowspan="2" style="width:80px;" |There is a meaning ful zero-point
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! colspan="5" style="width:80px;" |Values can be used to perform statistical computations
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! rowspan="2" |Example
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|- style="background-color:#F2D7D5"
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! style="width:80px;" | '''Comparison operators'''
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! style="width:80px;" | Addition and subtrac tion
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! style="width:80px;" | Multiplica tion and division
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! style="width:80px;" | "Counts", aka, "Fre quency of Distribu tion"
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! style="width:80px;" | Mode
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! style="width:80px;" | Median
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! style="width:80px;" | Mean
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! style="width:80px;" | Stn
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|-
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!'''Nominal'''
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|Values serve only as labels
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| colspan="11" style="margin: 0; padding: 0;" |
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{| class="mw-collapsible mw-collapsed wikitable"
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|- style="vertical-align:middle;"
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| style="height:100px; text-align:center; width:80px;" |<div style="text-align: center;"><span style="color: red;  font-size: 15pt; text-align: center;"><div style="text-align: center;"><span style="color: red; font-size: 15pt;  text-align: center;">✘</span></div></span></div>
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| style="height:100px; text-align:center; width:80px;" |<div style="text-align: center;"><span style="color: red;  font-size: 15pt; text-align: center;"><div style="text-align: center;"><span style="color: red; font-size: 15pt;  text-align: center;">✘</span></div></span></div>
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| style="height:100px; text-align:center; width:80px;" |<div style="text-align: center;"><span style="color: red;  font-size: 15pt; text-align: center;"><div style="text-align: center;"><span style="color: red; font-size: 15pt;  text-align: center;">✘</span></div></span></div>
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| style="height:100px; text-align:center; width:80px;" |<div style="text-align: center;"><span style="color: red;  font-size: 15pt; text-align: center;"><div style="text-align: center;"><span style="color: red; font-size: 15pt;  text-align: center;">✘</span></div></span></div>
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| style="height:100px; text-align:center; width:80px;" |<div style="text-align: center;"><span style="color: red;  font-size: 15pt; text-align: center;"><div style="text-align: center;"><span style="color: red; font-size: 15pt;  text-align: center;">✘</span></div></span></div>
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| style="height:100px; text-align:center; width:80px;" |<div style="text-align: center;"><span style="color: red;  font-size: 15pt; text-align: center;"><div style="text-align: center;"><span style="color: red; font-size: 15pt;  text-align: center;">✘</span></div></span></div>
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| style="height:100px; text-align:center; width:80px;" |<div style="text-align: center;"><span style="color: blue; font-size: 20pt; text-align: center;"><div style="text-align: center;"><span style="color: blue; font-size: 20pt; text-align: center;">✔</span></div></span></div>
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| style="height:100px; text-align:center; width:80px;" |<div style="text-align: center;"><span style="color: blue; font-size: 20pt; text-align: center;"><div style="text-align: center;"><span style="color: blue; font-size: 20pt; text-align: center;">✔</span></div></span></div>
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| style="height:100px; text-align:center; width:80px;" |<div style="text-align: center;"><span style="color: red;  font-size: 15pt; text-align: center;"><div style="text-align: center;"><span style="color: red; font-size: 15pt;  text-align: center;">✘</span></div></span></div>
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| style="height:100px; text-align:center; width:80px;" |<div style="text-align: center;"><span style="color: red;  font-size: 15pt; text-align: center;"><div style="text-align: center;"><span style="color: red; font-size: 15pt;  text-align: center;">✘</span></div></span></div>
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| style="height:100px; text-align:center; width:80px; vertical-align:top; padding-top:30px;" |<div style="text-align: center;"><span style="color: red;  font-size: 15pt; text-align: center;"><div style="text-align: center;"><span style="color: red; font-size: 15pt;  text-align: center;">✘</span></div></span></div>
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|- style="vertical-align:top;"
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| style="height:100px; text-align:left; width:80px;" |
 +
Values don't have any meaningful order
 +
| style="height:100px; text-align:left; width:80px;" |
 +
No distance between values is defined
 +
| colspan="3" style="height:100px; text-align:left; width:80px;" |
 +
Values don't carry any mathematical meaning
 +
|
 +
| style="height:100px; text-align:left; width:80px;" |
 +
| style="height:100px; text-align:left; width:80px;" |
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| colspan="3" style="height:100px; text-align:left; width:80px;" |
 +
Values cannot be used to perform many statistical computations, such as mean and standard deviation
 +
|}
 +
|For an attribute '''"outlook"''' from weather data, potential values could be "sunny", "overcast", and "rainy".
 +
|-
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!'''Ordinal'''
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|Distinction between nominal and ordinal not always clear (e.g., attribute "outlook")
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| colspan="11" style="margin: 0; padding: 0;" |
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{| class="mw-collapsible mw-collapsed wikitable"
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|- style="vertical-align:middle;"
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| style="height:100px; text-align:center; width:80px;" |<div style="text-align: center;"><span style="color: blue; font-size: 20pt; text-align: center;"><div style="text-align: center;"><span style="color: blue; font-size: 20pt; text-align: center;">✔</span></div></span></div>
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| style="height:100px; text-align:center; width:80px;" |<div style="text-align: center;"><span style="color: red;  font-size: 15pt; text-align: center;"><div style="text-align: center;"><span style="color: red; font-size: 15pt;  text-align: center;">✘</span></div></span></div>
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| style="height:100px; text-align:center; width:80px;" |<div style="text-align: center;"><span style="color: blue; font-size: 20pt; text-align: center;"><div style="text-align: center;"><span style="color: blue; font-size: 20pt; text-align: center;">✔</span></div></span></div>
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| style="height:100px; text-align:center; width:80px;" |<div style="text-align: center;"><span style="color: red;  font-size: 15pt; text-align: center;"><div style="text-align: center;"><span style="color: red; font-size: 15pt;  text-align: center;">✘</span></div></span></div>
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| style="height:100px; text-align:center; width:80px;" |<div style="text-align: center;"><span style="color: red;  font-size: 15pt; text-align: center;"><div style="text-align: center;"><span style="color: red; font-size: 15pt;  text-align: center;">✘</span></div></span></div>
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| style="height:100px; text-align:center; width:80px;" |<div style="text-align: center;"><span style="color: red;  font-size: 15pt; text-align: center;"><div style="text-align: center;"><span style="color: red; font-size: 15pt;  text-align: center;">✘</span></div></span></div>
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| style="height:100px; text-align:center; width:80px;" |<div style="text-align: center;"><span style="color: blue; font-size: 20pt; text-align: center;"><div style="text-align: center;"><span style="color: blue; font-size: 20pt; text-align: center;">✔</span></div></span></div>
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| style="height:100px; text-align:center; width:80px;" |<div style="text-align: center;"><span style="color: blue; font-size: 20pt; text-align: center;"><div style="text-align: center;"><span style="color: blue; font-size: 20pt; text-align: center;">✔</span></div></span></div>
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| style="height:100px; text-align:center; width:80px;" |<div style="text-align: center;"><span style="color: blue; font-size: 20pt; text-align: center;"><div style="text-align: center;"><span style="color: blue; font-size: 20pt; text-align: center;">✔</span></div></span></div>
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| style="height:100px; text-align:center; width:80px;" |<div style="text-align: center;"><span style="color: red;  font-size: 15pt; text-align: center;"><div style="text-align: center;"><span style="color: red; font-size: 15pt;  text-align: center;">✘</span></div></span></div>
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| style="height:100px; text-align:center; width:80px; vertical-align:top; padding-top:30px;" |<div style="text-align: center;"><span style="color: red;  font-size: 15pt; text-align: center;"><div style="text-align: center;"><span style="color: red; font-size: 15pt;  text-align: center;">✘</span></div></span></div>
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|- style="vertical-align:top;"
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| style="height:100px; text-align:left; width:80px;" |
 +
Values have a meaningful order
 +
| style="height:100px; text-align:left; width:80px;" |
 +
No distance between values is defined
 +
| style="height:100px; text-align:left; width:80px;" |
 +
Comparison operators make sense
 +
| colspan="2" |Mathematical operations such as addition, subtraction, multiplication, etc. do not make sense
 +
|
 +
| style="height:100px; text-align:left; width:80px;" |
 +
| style="height:100px; text-align:left; width:80px;" |
 +
| style="height:100px; text-align:left; width:80px;" |
 +
|
 +
|
 +
|}
 +
|An attribute '''"temperature"''' in weather data with potential values fo: "hot" > "warm" > "cool"
 +
|-
 +
!'''Interval'''
 +
|
 +
| colspan="11" style="margin: 0; padding: 0;" |
 +
{| class="mw-collapsible mw-collapsed wikitable"
 +
|- style="vertical-align:middle;"
 +
| style="height:100px; text-align:center; width:80px;" |<div style="text-align: center;"><span style="color: blue; font-size: 20pt; text-align: center;"><div style="text-align: center;"><span style="color: blue; font-size: 20pt; text-align: center;">✔</span></div></span></div>
 +
| style="height:100px; text-align:center; width:80px;" |<div style="text-align: center;"><span style="color: blue; font-size: 20pt; text-align: center;"><div style="text-align: center;"><span style="color: blue; font-size: 20pt; text-align: center;">✔</span></div></span></div>
 +
| style="height:100px; text-align:center; width:80px;" |<div style="text-align: center;"><span style="color: blue; font-size: 20pt; text-align: center;"><div style="text-align: center;"><span style="color: blue; font-size: 20pt; text-align: center;">✔</span></div></span></div>
 +
| style="height:100px; text-align:center; width:80px;" |<div style="text-align: center;"><span style="color: blue; font-size: 20pt; text-align: center;"><div style="text-align: center;"><span style="color: blue; font-size: 20pt; text-align: center;">✔</span></div></span></div>
 +
| style="height:100px; text-align:center; width:80px;" |<div style="text-align: center;"><span style="color: red;  font-size: 15pt; text-align: center;"><div style="text-align: center;"><span style="color: red; font-size: 15pt;  text-align: center;">✘</span></div></span></div>
 +
| style="height:100px; text-align:center; width:80px;" |<div style="text-align: center;"><span style="color: red;  font-size: 15pt; text-align: center;"><div style="text-align: center;"><span style="color: red; font-size: 15pt;  text-align: center;">✘</span></div></span></div>
 +
| style="height:100px; text-align:center; width:80px;" |<div style="text-align: center;"><span style="color: blue; font-size: 20pt; text-align: center;"><div style="text-align: center;"><span style="color: blue; font-size: 20pt; text-align: center;">✔</span></div></span></div>
 +
| style="height:100px; text-align:center; width:80px;" |<div style="text-align: center;"><span style="color: blue; font-size: 20pt; text-align: center;"><div style="text-align: center;"><span style="color: blue; font-size: 20pt; text-align: center;">✔</span></div></span></div>
 +
| style="height:100px; text-align:center; width:80px;" |<div style="text-align: center;"><span style="color: blue; font-size: 20pt; text-align: center;"><div style="text-align: center;"><span style="color: blue; font-size: 20pt; text-align: center;">✔</span></div></span></div>
 +
| style="height:100px; text-align:center; width:80px;" |<div style="text-align: center;"><span style="color: blue; font-size: 20pt; text-align: center;"><div style="text-align: center;"><span style="color: blue; font-size: 20pt; text-align: center;">✔</span></div></span></div>
 +
| style="height:100px; text-align:center; width:80px; vertical-align:top; padding-top:30px;" |<div style="text-align: center;"><span style="color: blue; font-size: 20pt; text-align: center;"><div style="text-align: center;"><span style="color: blue; font-size: 20pt; text-align: center;">✔</span></div></span></div>
 +
|- style="vertical-align:top;"
 +
| style="height:100px; text-align:left; width:80px;" |
 +
| style="height:100px; text-align:left; width:80px;" |
 +
Distance between values is defined. In other words, we can quantify the difference between each value
 +
| style="height:100px; text-align:left; width:80px;" |
 +
Comparison operators make sense
 +
|Addition, subtraction, make sense
 +
|Multiplication, and division do not make sense
 +
|Interval variables often do not have a meaningful zero-point.
 +
| style="height:100px; text-align:left; width:80px;" |
 +
| style="height:100px; text-align:left; width:80px;" |
 +
| style="height:100px; text-align:left; width:80px;" |
 +
|
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|(not sure)
 +
|}
 +
|An example of an interval variable would be '''temperature.'''  We can correctly assume that the difference between 70 and 80 degrees is the same as the difference between 80 and 90 degrees.  However, the mathematical operations of multiplication and division do not apply to interval variables.  For instance, we cannot accurately say that 100 degrees is twice as hot as 50 degrees. Additionally, interval variables often do not have a meaningful zero-point.  For example, a temperature of zero degrees (on Celsius and Fahrenheit scales) does not mean a complete absence of heat.
 +
|-
 +
!'''Ratio'''
 +
|
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| colspan="11" style="margin: 0; padding: 0;" |
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{| class="mw-collapsible mw-collapsed wikitable"
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|- style="vertical-align:middle;"
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| style="height:100px; text-align:center; width:80px;" |<div style="text-align: center;"><span style="color: blue; font-size: 20pt; text-align: center;"><div style="text-align: center;"><span style="color: blue; font-size: 20pt; text-align: center;">✔</span></div></span></div>
 +
| style="height:100px; text-align:center; width:80px;" |<div style="text-align: center;"><span style="color: blue; font-size: 20pt; text-align: center;"><div style="text-align: center;"><span style="color: blue; font-size: 20pt; text-align: center;">✔</span></div></span></div>
 +
| style="height:100px; text-align:center; width:80px;" |<div style="text-align: center;"><span style="color: blue; font-size: 20pt; text-align: center;"><div style="text-align: center;"><span style="color: blue; font-size: 20pt; text-align: center;">✔</span></div></span></div>
 +
| style="height:100px; text-align:center; width:80px;" |<div style="text-align: center;"><span style="color: blue; font-size: 20pt; text-align: center;"><div style="text-align: center;"><span style="color: blue; font-size: 20pt; text-align: center;">✔</span></div></span></div>
 +
| style="height:100px; text-align:center; width:80px;" |<div style="text-align: center;"><span style="color: blue; font-size: 20pt; text-align: center;"><div style="text-align: center;"><span style="color: blue; font-size: 20pt; text-align: center;">✔</span></div></span></div>
 +
| style="height:100px; text-align:center; width:80px;" |<div style="text-align: center;"><span style="color: blue; font-size: 20pt; text-align: center;"><div style="text-align: center;"><span style="color: blue; font-size: 20pt; text-align: center;">✔</span></div></span></div>
 +
| style="height:100px; text-align:center; width:80px;" |<div style="text-align: center;"><span style="color: blue; font-size: 20pt; text-align: center;"><div style="text-align: center;"><span style="color: blue; font-size: 20pt; text-align: center;">✔</span></div></span></div>
 +
| style="height:100px; text-align:center; width:80px;" |<div style="text-align: center;"><span style="color: blue; font-size: 20pt; text-align: center;"><div style="text-align: center;"><span style="color: blue; font-size: 20pt; text-align: center;">✔</span></div></span></div>
 +
| style="height:100px; text-align:center; width:80px;" |<div style="text-align: center;"><span style="color: blue; font-size: 20pt; text-align: center;"><div style="text-align: center;"><span style="color: blue; font-size: 20pt; text-align: center;">✔</span></div></span></div>
 +
| style="height:100px; text-align:center; width:80px;" |<div style="text-align: center;"><span style="color: blue; font-size: 20pt; text-align: center;"><div style="text-align: center;"><span style="color: blue; font-size: 20pt; text-align: center;">✔</span></div></span></div>
 +
| style="height:100px; text-align:center; width:80px; vertical-align:top; padding-top:30px;" |<div style="text-align: center;"><span style="color: blue; font-size: 20pt; text-align: center;"><div style="text-align: center;"><span style="color: blue; font-size: 20pt; text-align: center;">✔</span></div></span></div>
 +
|- style="vertical-align:top;"
 +
| style="height:100px; text-align:left; width:80px;" |
 +
| style="height:100px; text-align:left; width:80px;" |
 +
| colspan="3" style="height:100px; text-align:left; width:80px;" |
 +
All arithmetic operations are possible on a ratio variable
 +
|Ratio variables have a meaningful zero-point
 +
| style="height:100px; text-align:left; width:80px;" |
 +
| style="height:100px; text-align:left; width:80px;" |
 +
| style="height:100px; text-align:left; width:80px;" |
 +
|
 +
|
 +
|}
 +
|
 +
|}

Revision as of 21:47, 24 November 2020


Values have any meaningful order Distance between values is defined Mathematical operations make sense

(Values can be used to perform mathematical operations)

There is a meaning ful zero-point Values can be used to perform statistical computations Example
Comparison operators Addition and subtrac tion Multiplica tion and division "Counts", aka, "Fre quency of Distribu tion" Mode Median Mean Stn
Nominal Values serve only as labels

Values don't have any meaningful order

No distance between values is defined

Values don't carry any mathematical meaning

Values cannot be used to perform many statistical computations, such as mean and standard deviation

For an attribute "outlook" from weather data, potential values could be "sunny", "overcast", and "rainy".
Ordinal Distinction between nominal and ordinal not always clear (e.g., attribute "outlook")

Values have a meaningful order

No distance between values is defined

Comparison operators make sense

Mathematical operations such as addition, subtraction, multiplication, etc. do not make sense
An attribute "temperature" in weather data with potential values fo: "hot" > "warm" > "cool"
Interval

Distance between values is defined. In other words, we can quantify the difference between each value

Comparison operators make sense

Addition, subtraction, make sense Multiplication, and division do not make sense Interval variables often do not have a meaningful zero-point. (not sure)
An example of an interval variable would be temperature.  We can correctly assume that the difference between 70 and 80 degrees is the same as the difference between 80 and 90 degrees.  However, the mathematical operations of multiplication and division do not apply to interval variables.  For instance, we cannot accurately say that 100 degrees is twice as hot as 50 degrees. Additionally, interval variables often do not have a meaningful zero-point.  For example, a temperature of zero degrees (on Celsius and Fahrenheit scales) does not mean a complete absence of heat.
Ratio

All arithmetic operations are possible on a ratio variable

Ratio variables have a meaningful zero-point