Difference between revisions of "Manuals/calci/NORMINV"
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==Description== | ==Description== | ||
− | *This function gives the inverse of the | + | *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 | + | *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 | + | *If <math>m=0</math> and <math>sd=1</math>, NORMINV uses the Standard Normal Distribution. |
==Examples== | ==Examples== |
Revision as of 00:39, 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
- =NORMINV(0.01884908749,17.4,3.2) = 10.750011
- =NORMINV(0.998742,5.4,2.3) = 12.349244172
- =NORMINV(1,7.2,2.3) = NULL