Difference between revisions of "Manuals/calci/PEARSON"

From ZCubes Wiki
Jump to navigation Jump to search
 
(12 intermediate revisions by 4 users not shown)
Line 1: Line 1:
−
<div style="font-size:30px">'''PEARSON (ar1,ar2)'''</div><br/>
+
<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  
−
*The formula for PPMC,r is defined by:
+
+1 indicates the perfect positive correlation,
 +
  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>     
 
<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>.
−
*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==
−
*1.Array1          Array2
+
{| class="wikitable"
−
5                        8
+
|+Spreadsheet
−
9                        12
+
|-
−
10                      15
+
! !! A !! B !! C
−
PEARSON(B1:B3,C1:C3)=0.968619605
+
|-
−
*2.Array1            Array2
+
! 1
−
17                    10
+
| 5 || 9 || 10  
−
0                        11
+
|-
−
19                        7
+
! 2
−
25                      13
+
| 8 || 12 || 15
−
PEARSON(D1:D4,E1:E4)=-0.759206026
+
|}
−
*3.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
 +
|}
 +
 +
=PEARSON(A1:D1,A2:D2) = 0.034204238054579846
 +
 +
3.
 +
{| class="wikitable"
 +
|+Spreadsheet
 +
|-
 +
! !! A !! B !! C
 +
|-
 +
! 1
 +
| 1 || 2 || 3
 +
|-
 +
! 2
 +
| 4 || 5 ||
 +
|}
 +
 +
=PEARSON(A1:C1,A2:B2) = NAN
 +
 +
==Related Videos==
 +
 +
{{#ev:youtube|JO-Gc5bEG70|280|center|PEARSON}}
  
 
==See Also==
 
==See Also==
Line 40: Line 74:
  
 
==References==
 
==References==
 +
[http://en.wikipedia.org/wiki/Pearson_product-moment_correlation_coefficient Pearson]
 +
 +
 +
 +
 +
*[[Z_API_Functions | List of Main Z Functions]]
 +
 +
*[[ Z3 |  Z3 home ]]

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



Retrieved from "http://wiki.zcubes.com/index.php?title=Manuals/calci/PEARSON&oldid=210960"