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/>
−
*<math>ar1</math> is the array of independent values and <math>ar2</math> is the array of dependent values.
+
*<math>Array1</math> is the array of independent values  
 +
*<math>Array2</math> is the array of dependent values.
 +
**PEARSON(),returns the Pearson product moment correlation coefficient.
  
 
==Description==
 
==Description==
−
*This function gives the Pearson productmoment correlaton coefficient.
+
*This function gives the Pearson Product-Moment Correlation Coefficient.
 
*It is denoted by PPMC, which shows the linear relationship between two variables.
 
*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 .
 
*It is a measure of the strength of a linear association between two variables .
−
*The two variables  X and Y, giving a value between +1 and −1 inclusive.  
+
*The two variables  <math> X </math>  and <math> Y </math>, giving a value between +1 and −1 inclusive.  
−
*Here +1 indicates the perfect positive correlation, 0 indicates no correlation and -1 indicates the perfect negative correlation.
+
*Here  
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*The formula for PPMC,r is defined by:
+
+1 indicates the perfect positive correlation,
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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>     
+
  0 indicates no correlation  
 +
-1 indicates the perfect negative correlation.
 +
*The formula for PPMC, <math> r </math> is defined by:
 +
<math> r= \frac{ \Sigma(x-\bar{x})(y-\bar{y})}{\sqrt {\Sigma(x-\bar{x})^2(y-\bar{y})^2}}</math>     
  
−
where <math>\bar{x} and \bar{y})</math> are Average of the two Samples x and y.
+
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(ar1,ar2)</math> , the value of <math> ar1</math> and <math> ar2</math> must be either numbers or names, array,constants or references that contain numbers.  
+
*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.
−
*This function will return the result as error when the number of values are different for ar1 and ar2.
+
*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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#Array1          Array2
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{| class="wikitable"
−
5                        8
+
|+Spreadsheet
−
9                        12
+
|-
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10                      15
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! !! A !! B !! C
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PEARSON(B1:B3,C1:C3)=0.968619605
+
|-
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#Array1            Array2
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! 1
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17                    10
+
| 5 || 9 || 10  
−
0                        11
+
|-
−
19                        7
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! 2
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25                      13
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| 8 || 12 || 15
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PEARSON(D1:D4,E1:E4)=-0.759206026
+
|}
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#Array1            Array2
 
−
1                        4
 
−
2                       5
 
−
3
 
−
PEARSON(A1:A3,B1:B2)=NAN
 
  
 +
=PEARSON(A1:C1,A2:C2) = 0.968619605
 +
2.
 +
{| class="wikitable"
 +
|+Spreadsheet
 +
|-
 +
! !! A !! B !! C !!D
 +
|-
 +
! 1
 +
| 17 || 0 || 19 ||25
 +
|-
 +
! 2
 +
| 10 || 11 || 7 ||13
 +
|}
  
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==See Also==
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=PEARSON(A1:D1,A2:D2) = 0.034204238054579846
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*[[Manuals/calci/INTERCEPT  | INTERCEPT ]]
 
−
*[[Manuals/calci/SLOPE  | SLOPE ]]
 
  
−
==References==
+
3.
 +
{| class="wikitable"
 +
|+Spreadsheet
 +
|-
 +
! !! A !! B !! C
 +
|-
 +
! 1
 +
| 1 || 2 || 3
 +
|-
 +
! 2
 +
| 4 || 5 ||
 +
|}
  
 +
=PEARSON(A1:C1,A2:B2) = NAN
  
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'''Array1,''' -  represents a set of independent values.
+
==Related Videos==
  
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'''Array2''' - represents a of dependent values.
+
{{#ev:youtube|JO-Gc5bEG70|280|center|PEARSON}}
  
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</div>
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==See Also==
−
----
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*[[Manuals/calci/INTERCEPT  | INTERCEPT ]]
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<div id="1SpaceContent" class="zcontent" align="left">
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*[[Manuals/calci/SLOPE  | SLOPE ]]
  
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Returns the Pearson product momment correlation coefficient(P).
+
==References==
 +
[http://en.wikipedia.org/wiki/Pearson_product-moment_correlation_coefficient Pearson]
  
−
Formula :-
 
  
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P =
 
  
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</div>
 
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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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<div id="12SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="left">
 
  
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PEARSON
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*[[Z_API_Functions | List of Main Z Functions]]
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</div></div>
 
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----
 
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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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UNIQa9cacf80da78a549-nowiki-00000002-QINU
 
−
 
 
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PEARSON returns -0.015.811.
 
−
 
 
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</div>
 
−
----
 
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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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<div id="11SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Description </div></div>
 
−
----
 
−
<div id="2SpaceContent" class="zcontent" align="left">
 
−
 
 
−
{| id="TABLE3" class="SpreadSheet blue"
 
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|- class="even"
 
−
| class=" " |
 
−
| class="  " | Column1
 
−
| 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
 
−
|
 
−
|- class="even"
 
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| class="  " | Row2
 
−
| class=" " | 8
 
−
| class=" " | 2
 
−
| class=" SelectTD ChangeBGColor SelectTD" |
 
−
<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>
 
−
|
 
−
|- class="odd"
 
−
| Row3
 
−
| class=" " | 9
 
−
| class=" " | 5
 
−
|
 
−
|
 
−
|- class="even"
 
−
| Row4
 
−
| class=" " | 7
 
−
| class=" " | 8
 
−
|
 
−
|
 
−
|- class="odd"
 
−
| class=" " | Row5
 
−
| class=" " | 1
 
−
| class=" " | 4
 
−
|
 
−
|
 
−
|- class="even"
 
−
| Row6
 
−
| class=" " | 2
 
−
| class=" " | 6
 
−
|
 
−
|
 
−
|}
 
  
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<div align="left">[[Image:calci1.gif]]</div></div>
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*[[ Z3 |  Z3 home ]]
−
----
 

Latest revision as of 16:01, 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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