Difference between revisions of "Manuals/calci/MPEARSON"

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<div style="font-size:30px">'''MPEARSON (ArrayOfArrays)'''</div><br/>
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*<math>ArrayOfArrays</math> is the array of two set of independent values.
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.
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==Description==
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*This function gives the Pearson Product-Moment Correlation Coefficient.
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*It is denoted by PPMC, which shows the linear relationship between two variables.
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*It is a measure of the strength of a linear association between two variables .
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*The two variables  <math> X </math>  and <math> Y </math>, giving a value between +1 and −1 inclusive.
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*Here
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+1 indicates the perfect positive correlation,
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  0 indicates no correlation
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-1 indicates the perfect negative correlation.
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*The formula for PPMC, <math> r </math> is defined by:
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<math> r= \frac{ \Sigma(x-\bar{x})(y-\bar{y})}{\sqrt {\Sigma(x-\bar{x})^2(y-\bar{y})^2}}</math>   
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where <math> \bar{x}</math>  and  <math>\bar{y} </math>  are Average of the two Samples  <math>x </math> and  <math>y </math>.
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*In  <math>MPEARSON(ArrayOfArrays)</math>, the value of <math> Array of Arrays</math>  must be either numbers or names, array,constants or references that contain numbers.
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*Suppose the array contains text, logicl values or empty cells, like that values are not considered.
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*This function will return the result as error when the number of values are different for <math> Array of Arrays </math>
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==Examples==
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1.
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{| class="wikitable"
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|+Spreadsheet
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|-
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! !! A !! B !! C
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|-
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! 1
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| 5 || 9 || 10
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|-
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! 2
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| 8 || 12 || 15
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|}
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MPEARSON(A1:C1,A2:C2)
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{| class="wikitable"
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|-
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| 1 || 0.9686196045011367
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|-
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| 0.9686196045011367 || 1
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|}
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2. MPEARSON([[15,18,20,24],[-3,-8,43,31]])
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{| class="wikitable"
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|-
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| 1 || 0.7113828912825356
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|-
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| 0.7113828912825356 || 1
 +
|}
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==Related Videos==
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{{#ev:youtube|v=zt1K9qhFdfQ&t=191s|280|center|Pearson Product Moment Correlation}}
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==See Also==
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*[[Manuals/calci/INTERCEPT  | INTERCEPT ]]
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*[[Manuals/calci/SLOPE  | SLOPE ]]
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==References==
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[http://en.wikipedia.org/wiki/Pearson_product-moment_correlation_coefficient Pearson]
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 +
 
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*[[Z_API_Functions | List of Main Z Functions]]
 +
 
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*[[ Z3 |  Z3 home ]]

Latest revision as of 14:14, 6 December 2018

MPEARSON (ArrayOfArrays)


  • is the array of two set of independent values.

.

Description

  • This function gives the Pearson Product-Moment Correlation Coefficient.
  • It is denoted by PPMC, which shows the linear relationship between two variables.
  • It is a measure of the strength of a linear association between two variables .
  • The two variables and , giving a value between +1 and −1 inclusive.
  • Here
+1 indicates the perfect positive correlation,
 0 indicates no correlation 
-1 indicates the perfect negative correlation.
  • The formula for PPMC, is defined by:

where and are Average of the two Samples and .

  • In , the value of must be either numbers or names, array,constants or references that contain numbers.
  • Suppose the array contains text, logicl values or empty cells, like that values are not considered.
  • This function will return the result as error when the number of values are different for

Examples

1.

Spreadsheet
A B C
1 5 9 10
2 8 12 15

MPEARSON(A1:C1,A2:C2)

1 0.9686196045011367
0.9686196045011367 1

2. MPEARSON([[15,18,20,24],[-3,-8,43,31]])

1 0.7113828912825356
0.7113828912825356 1

Related Videos

Pearson Product Moment Correlation

See Also

References

Pearson



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