Difference between revisions of "Manuals/calci/NORMINV"

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==Description==
 
==Description==
*This function gives the inverse of the normal cumulative distribution for the particular mean and standard deviation.
+
*This function gives the inverse of the Normal Cumulative Distribution for the particular Mean and Standard Deviation.
 
*If <math>NORMDIST(x,m,sd,TRUE)=prob</math>, then <math>NORMINV(prob,m,sd)=x</math>.
 
*If <math>NORMDIST(x,m,sd,TRUE)=prob</math>, then <math>NORMINV(prob,m,sd)=x</math>.
 
*<math>NORMINV</math> using the iterating method to find the value of x.
 
*<math>NORMINV</math> using the iterating method to find the value of x.
 
*Suppose the iteration has not converged after 100 searches, then the function gives the error result.  
 
*Suppose the iteration has not converged after 100 searches, then the function gives the error result.  
*In <math>NORMINV(prob,m,sd)</math>, where <math>prob</math> is the corresponding probability of the normal distribution, <math>m</math> is the arithmetic mean of the normal distribution and <math>sd</math> is the standard deviation of the normal distribution.
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*In <math>NORMINV(prob,m,sd)</math>, where <math>prob</math> is the corresponding probability of the Normal Distribution, <math>m</math> is the Arithmetic Mean of the Normal Distribution and <math>sd</math> is the Standard Deviation of the Normal Distribution.
 
*This function will return the result as error when  
 
*This function will return the result as error when  
 
  1.any one of the argument is non-numeric
 
  1.any one of the argument is non-numeric
 
  2.Suppose <math>prob<0</math> or <math>prob>1</math>
 
  2.Suppose <math>prob<0</math> or <math>prob>1</math>
 
  3.<math>sd<=0</math>.
 
  3.<math>sd<=0</math>.
*If <math>m=0</math> and <math>sd=1</math>, NORMINV uses the standard normal distribution.
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*If <math>m=0</math> and <math>sd=1</math>, NORMINV uses the Standard Normal Distribution.
  
 
==Examples==
 
==Examples==

Revision as of 01:39, 22 January 2014

NORMINV(prob,m,sd)


  • is the probability corresponding to the Normal Distribution, is the Mean, and is the Standard Deviation.

Description

  • This function gives the inverse of the Normal Cumulative Distribution for the particular Mean and Standard Deviation.
  • If , then .
  • using the iterating method to find the value of x.
  • Suppose the iteration has not converged after 100 searches, then the function gives the error result.
  • In , where is the corresponding probability of the Normal Distribution, is the Arithmetic Mean of the Normal Distribution and is the Standard Deviation of the Normal Distribution.
  • This function will return the result as error when
1.any one of the argument is non-numeric
2.Suppose  or 
3..
  • If and , NORMINV uses the Standard Normal Distribution.

Examples

  1. =NORMINV(0.01884908749,17.4,3.2) = 10.750011
  2. =NORMINV(0.998742,5.4,2.3) = 12.349244172
  3. =NORMINV(1,7.2,2.3) = NULL

See Also

References

Normal distribution