Difference between revisions of "Manuals/calci/PEARSON"

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<div style="font-size:30px">'''PEARSON (ar1,ar2)'''</div><br/>
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<div style="font-size:30px">'''PEARSON (Array1,Array2)'''</div><br/>
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*<math>ar_1</math> is the array of independent values  
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*<math>Array1</math> is the array of independent values  
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*<math>ar_2</math> is the array of dependent values.
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*<math>Array2</math> is the array of dependent values.
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**PEARSON(),returns the Pearson product moment correlation coefficient.
  
 
==Description==
 
==Description==
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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>.
 
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>PEARSON(ar_1,ar_2)</math>, the value of <math> ar_1</math> and <math> ar_2</math> must be either numbers or names, array,constants or references that contain numbers.  
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*In  <math>PEARSON(Array1,Array2)</math>, the value of <math>Array1</math> and <math>Array2</math> 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.
 
*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> ar_1 </math> and <math> ar_2 </math>.
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*This function will return the result as error when the number of values are different for <math> Array1 </math> and <math> Array2 </math>.
  
 
==Examples==
 
==Examples==
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|}
 
|}
  
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  =PEARSON(A1:D1,A2:D2) = -0.759206026
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  =PEARSON(A1:D1,A2:D2) = 0.034204238054579846
  
 
3.
 
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  =PEARSON(A1:C1,A2:B2) = NAN
 
  =PEARSON(A1:C1,A2:B2) = NAN
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==Related Videos==
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{{#ev:youtube|JO-Gc5bEG70|280|center|PEARSON}}
  
 
==See Also==
 
==See Also==
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==References==
 
==References==
 
[http://en.wikipedia.org/wiki/Pearson_product-moment_correlation_coefficient Pearson]
 
[http://en.wikipedia.org/wiki/Pearson_product-moment_correlation_coefficient Pearson]
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*[[Z_API_Functions | List of Main Z Functions]]
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*[[ Z3 |  Z3 home ]]

Latest revision as of 15:01, 8 August 2018

PEARSON (Array1,Array2)


  • Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Array1} is the array of independent values
  • Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Array2} is the array of dependent values.
    • PEARSON(),returns the Pearson product moment correlation coefficient.

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 Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle X } and Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Y } , 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, Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle r } is defined by:

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle r= \frac{ \Sigma(x-\bar{x})(y-\bar{y})}{\sqrt {\Sigma(x-\bar{x})^2(y-\bar{y})^2}}}

where Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \bar{x}} and Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle {\bar {y}}} are Average of the two Samples Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle x } and Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle y } .

  • In Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle PEARSON(Array1,Array2)} , the value of Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Array1} and Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Array2} 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 Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Array1 } and Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Array2 } .

Examples

Spreadsheet
A B C
1 5 9 10
2 8 12 15 
=PEARSON(A1:C1,A2:C2) = 0.968619605

2.

Spreadsheet
A B C D
1 17 0 19 25
2 10 11 7 13 
=PEARSON(A1:D1,A2:D2) = 0.034204238054579846

3.

Spreadsheet
A B C
1 1 2 3
2 4 5 
=PEARSON(A1:C1,A2:B2) = NAN

Related Videos

PEARSON

See Also

References

Pearson



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