Difference between revisions of "Manuals/calci/PEARSON"

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(Created page with "<div id="6SpaceContent" class="zcontent" align="left"> '''PEARSON'''(Array1, Array2) where, '''Array1,''' -  represents a set of independent values. '''Array2'''...")
 
 
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<div id="6SpaceContent" class="zcontent" align="left">
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<div style="font-size:30px">'''PEARSON (Array1,Array2)'''</div><br/>
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*<math>Array1</math> is the array of independent 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.
  
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'''PEARSON'''(Array1, Array2)
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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.
 +
*It is a measure of the strength of a linear association between two variables .
 +
*The two variables  <math> X </math>  and <math> Y </math>, giving a value between +1 and −1 inclusive.
 +
*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,
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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>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.
 +
*This function will return the result as error when the number of values are different for <math> Array1 </math> and <math> Array2 </math>.
  
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'''Array1,''' -  represents a set of independent values.
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==Examples==
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{| class="wikitable"
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|+Spreadsheet
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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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'''Array2''' - represents a of dependent values.
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=PEARSON(A1:C1,A2:C2) = 0.968619605
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2.
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{| class="wikitable"
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|+Spreadsheet
 +
|-
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! !! A !! B !! C !!D
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|-
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! 1
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| 17 || 0 || 19 ||25
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|-
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! 2
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| 10 || 11 || 7 ||13
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|}
  
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</div>
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=PEARSON(A1:D1,A2:D2) = 0.034204238054579846
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----
 
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<div id="1SpaceContent" class="zcontent" align="left">
 
  
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Returns the Pearson product momment correlation coefficient(P).
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3.
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{| class="wikitable"
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|+Spreadsheet
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|-
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! !! A !! B !! C
 +
|-
 +
! 1
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| 1 || 2 || 3
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|-
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! 2
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| 4 || 5 ||
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|}
  
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Formula :-
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=PEARSON(A1:C1,A2:B2) = NAN
  
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P =
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==Related Videos==
  
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</div>
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{{#ev:youtube|JO-Gc5bEG70|280|center|PEARSON}}
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----
 
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<div id="7SpaceContent" class="zcontent" align="left">If Length of Array1 =! Length of Array2 , PEARSON returns the #ERROR.</div>
 
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----
 
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<div id="12SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="left">
 
  
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PEARSON
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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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</div></div>
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==References==
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----
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[http://en.wikipedia.org/wiki/Pearson_product-moment_correlation_coefficient Pearson]
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<div id="8SpaceContent" class="zcontent" align="left">
 
  
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Lets see an example in (Column3, Row1)
 
  
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<nowiki>=PEARSON(R1C1:R6C1, R1C2:R6C2)</nowiki>
 
  
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PEARSON returns -0.015.811.
 
  
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</div>
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*[[Z_API_Functions | List of Main Z Functions]]
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----
 
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<div id="10SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Syntax </div><div class="ZEditBox"><center></center></div></div>
 
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----
 
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<div id="4SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Remarks </div></div>
 
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----
 
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<div id="3SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Examples </div></div>
 
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----
 
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<div id="11SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Description </div></div>
 
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----
 
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<div id="2SpaceContent" class="zcontent" align="left">
 
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{| id="TABLE3" class="SpreadSheet blue"
 
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|- class="even"
 
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| class=" " |
 
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| class="  " | Column1
 
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| class="  " | Column2
 
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| class="  " | Column3
 
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| Column4
 
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|- class="odd"
 
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| class=" " | Row1
 
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| class=" " | 5
 
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| class="                sshl_f " | 1
 
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| class="sshl_f" | -0.015811
 
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|
 
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|- class="even"
 
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| class="  " | Row2
 
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| class=" " | 8
 
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| class=" " | 2
 
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| class=" SelectTD ChangeBGColor SelectTD" |
 
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<div id="2Space_Handle" class="zhandles" title="Click and Drag to resize CALCI Column/Row/Cell. It is EZ!"></div><div id="2Space_Copy" class="zhandles" title="Click and Drag over to AutoFill other cells."></div><div id="2Space_Drag" class="zhandles" title="Click and Drag to Move/Copy Area.">[[Image:copy-cube.gif]]  </div>
 
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|
 
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|- class="odd"
 
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| Row3
 
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| class=" " | 9
 
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| class=" " | 5
 
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|
 
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|
 
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|- class="even"
 
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| Row4
 
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| class=" " | 7
 
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| class=" " | 8
 
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|
 
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|
 
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|- class="odd"
 
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| class=" " | Row5
 
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| class=" " | 1
 
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| class=" " | 4
 
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|
 
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|
 
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|- class="even"
 
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| Row6
 
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| class=" " | 2
 
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| class=" " | 6
 
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|
 
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|
 
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|}
 
  
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<div align="left">[[Image:calci1.gif]]</div></div>
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*[[ Z3 |  Z3 home ]]
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Latest revision as of 15:01, 8 August 2018

PEARSON (Array1,Array2)


  • is the array of independent values
  • 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 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 and 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 and .

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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