Manuals/calci/MCORREL

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MCORREL (ArrayOfArrays)


  • is set of values.

Description

  • This function is showing the result for multiple correlation.
  • In , are set of values.
  • Correlation is a statistical technique which shows the relation of strongly paired variables.When one variable is related to a number of other variables, the correlation is not simple.
  • It is multiple if there is one variable on one side and a set of variables on the other side.
  • If we have a series of measurements of and written as and where then the Sample Correlation Coefficient is:

  • and are the sample means of and .
  • The above formula is used for simple correlation.
  • Now consider the variables x,y and z we define the multiple correlation as:

Failed to parse (syntax error): {\displaystyle R_{zxy}=\sqrt{\frac{r_{xz}^2+r_{yz}^2-2 r_{xz} r_{yz} r_{xy}}{1-r_{xy}^2}}

  • is the correlation of x and y.
  • is the correlation of y and z.
  • is the correlation of z and x.
  • Here x and y are viewed as the independent variables and z is the dependent variable.
  • This function will give the result as error when

1. are non-numeric or different number of data points. 2.is empty 3.The denominator value is zero. Failed to parse (syntax error): {\displaystyle \sqrt{\frac{r_{xz}^2+r_{yz}^2-2 r_{xz} r_{yz} r_{xy}}{1-r_{xy}^2}}

Examples

See Also

References