Partial & Multiple Correlation

Partial & Multiple correlation

Presented by :Abhishek kumar yadav Roll no.-(02) Ravi mahali Roll no.-(58)

Partial correlation  Used

in a situation where three and four variables involved.

  Three

variables such as age, height & weight.

  The

correlation b/w height & weight can be computed by keeping age constant.

  Denoted 

by “ r12.3 ”

QUESTION  From



the following data, calculate the correlation b/w variable 1 & 2 keeping the 3rd constant. r12 = 0.7 ; r13 = 0.6 ; r23 = 0.4



 Solution

:-

Multiple correlation  Dealing

with situations that involve three or more variables.

  One

dependent & rest are independent.

  Dependent

variable is always denoted by X1 & others by X2, X3, X4, etc.

question  The



following zero-order, correlation coefficients are givenr12 = 0.98 ; r13 = 0.44 & r23 = 0.54

 

Calculate multiple correlation coefficient treating 1st variable as dependent & rest are independent.

  Solution: