Difference between revisions of "Manuals/calci/TINV"

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(Created page with "<div id="6SpaceContent" class="zcontent" align="left"> <font color="#484848"><font face="Arial, sans-serif"><font size="2">'''TINV'''</font></font></font><font color="#4848...")
 
 
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<div style="font-size:30px">'''TINV (Probability,DegreeOfFreedom) '''</div><br/>
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*<math>Probability </math> is the probability value for the two tailed T-distribution.
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*<math> DegreeOfFreedom </math> is the degrees of freedom.
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**TINV(), returns the inverse of the Students t-distribution.
  
<font color="#484848"><font face="Arial, sans-serif"><font size="2">'''TINV'''</font></font></font><font color="#484848"><font face="Arial, sans-serif"><font size="2">(</font></font></font><font color="#484848"><font face="Arial, sans-serif"><font size="2">'''prob'''</font></font></font><font color="#484848"><font face="Arial, sans-serif"><font size="2">,</font></font></font><font color="#484848"><font face="Arial, sans-serif"><font size="2">'''df'''</font></font></font><font color="#484848"><font face="Arial, sans-serif"><font size="2">)</font></font></font>
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==Description==
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*This function gives the <math>t</math> value of the T-distribution.
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*This function is called the inverse function of the T-distribution.
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*In <math> TINV(Probability,DegreeOfFreedom)</math>, <math>Probability</math> is the probability value related with the two tailed distribution and <math> DegreeOfFreedom </math> is the number of degrees of freedom which is characterize the distribution.
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*i.e., This function is the inverse value of <math> TDIST (Number,DegreeOfFreedom,2)</math>.
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*Suppose we want to find the inverse value of one tailed distribution, then we have to multiply 2 with the prob value.
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*For e.g., TINV(0.078,20) = 1.857683 which is the inverse value of two tailed T-distribution.
 +
*TINV(2*0.078,20)=1.474181542 which is the  inverse value of one tailed T-distribution.
 +
*Suppose <math>DegreeOfFreedom</math> value is decimal then it is converted in to integers.
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*If <math>TDIST (Number,DegreeOfFreedom,Tail)=prob </math>, then <math> TINV (Probability,DegreeOfFreedom)=x</math> for the two tailed T-distribution. 
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*<math> TINV </math> using the iterating method to find the value of <math> x </math>.
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*Suppose the iteration has not converged after 100 searches, then the function gives the error result.
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*This function will give the result as error when
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    1.Any one of the argument is non-numeric.
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    2.Probability<0 or Probability>1 or DegreeOfFreedom<1.
  
<font color="#484848"><font face="Arial, sans-serif"><font size="2">Where prob is the probability associated with the two-tailed Student's t-distribution and 'df' It is the number of degrees of freedom.</font></font></font>
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==Examples==
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#=TINV(0.0742,55) = 1.820015422
 +
#=TINV(2*0.0371,55) = 1.820015422
 +
#=TINV(0.65482,29) = 0.451735616
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#=TINV(0.5,5) = 0.726686844
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==Related Videos==
  
</div>
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{{#ev:youtube|sn5_vMaB1YE|280|center|TINV}}
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<div id="1SpaceContent" class="zcontent" align="left"> <font color="#484848"><font face="Arial, sans-serif"><font size="2">This function returns the t-value of the Student's t-distribution as a function of the probability and the degrees of freedom.</font></font></font></div>
 
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<div id="7SpaceContent" class="zcontent" align="left"> 
 
  
* <font color="#484848"><font face="Arial, sans-serif"><font size="2">TINV returns the error value when the argument is non numeric or df&lt;1</font></font></font>
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==See Also==
* <font color="#484848"><font face="Arial, sans-serif"><font size="2">Prob value must be between 0 and 1.</font></font></font>
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*[[Manuals/calci/TTEST | TTEST]]
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*[[Manuals/calci/TDIST  | TDIST ]]
  
</div>
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==References==
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*[http://en.wikipedia.org/wiki/Student%27s_t-distribution Student's t-distribution]
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TINV
 
  
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*[[Z_API_Functions | List of Main Z Functions]]
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<font color="#484848"><font face="Arial, sans-serif"><font size="2">'''B'''</font></font></font>
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*[[ Z3 Z3 home ]]
 
 
<font color="#484848"><font face="Arial, sans-serif"><font size="2">'''0.3979'''</font></font></font>
 
 
 
<font color="#484848"><font face="Arial, sans-serif"><font size="2">'''80'''</font></font></font>
 
 
 
<font color="#484848"><font face="Arial, sans-serif"><font size="2">'''<nowiki>=TINV(B2,B3) is 0.85</nowiki>'''</font></font></font>
 
 
 
</div>
 
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<div id="10SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Syntax </div><div class="ZEditBox"><center></center></div></div>
 
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<div id="4SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Remarks </div></div>
 
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<div id="3SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Examples </div></div>
 
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<div id="11SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Description </div></div>
 
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<div align="left">[[Image:calci1.gif]]</div></div>
 
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Latest revision as of 16:23, 8 August 2018

TINV (Probability,DegreeOfFreedom)


  • is the probability value for the two tailed T-distribution.
  • is the degrees of freedom.
    • TINV(), returns the inverse of the Students t-distribution.

Description

  • This function gives the value of the T-distribution.
  • This function is called the inverse function of the T-distribution.
  • In , is the probability value related with the two tailed distribution and is the number of degrees of freedom which is characterize the distribution.
  • i.e., This function is the inverse value of .
  • Suppose we want to find the inverse value of one tailed distribution, then we have to multiply 2 with the prob value.
  • For e.g., TINV(0.078,20) = 1.857683 which is the inverse value of two tailed T-distribution.
  • TINV(2*0.078,20)=1.474181542 which is the inverse value of one tailed T-distribution.
  • Suppose value is decimal then it is converted in to integers.
  • If , then for the two tailed T-distribution.
  • using the iterating method to find the value of .
  • Suppose the iteration has not converged after 100 searches, then the function gives the error result.
  • This function will give the result as error when
    1.Any one of the argument is non-numeric. 
    2.Probability<0 or Probability>1 or DegreeOfFreedom<1.

Examples

  1. =TINV(0.0742,55) = 1.820015422
  2. =TINV(2*0.0371,55) = 1.820015422
  3. =TINV(0.65482,29) = 0.451735616
  4. =TINV(0.5,5) = 0.726686844

Related Videos

TINV

See Also

References