Difference between revisions of "Manuals/calci/TDIST"

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<div style="font-size:30px">'''TDIST(x,df,t), '''</div><br/>
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<div style="font-size:30px">'''TDIST(Number,DegreeOfFreedom,Tail), '''</div><br/>
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*<math>x </math>  is the numeric value to find the distribution.
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*<math>Number </math>  is the numeric value to find the distribution.
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*<math> df </math> is the degrees of freedom.
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*<math> DegreeOfFreedom </math> is the degrees of freedom.
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*<math> t </math> is the number of tails.
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*<math> Tail </math> is the number of tails.
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**TDIST(),returns the Student t-distribution.
  
 
==Description==
 
==Description==
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*This function gives the value of the t-distribution.  
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*This function gives the value of the T-Distribution.  
 
*It is the continuous probability distributions.  
 
*It is the continuous probability distributions.  
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*The t-distribution is also called students t-distribution.  
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*The T-Distribution is also called Students T-Distribution.  
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*This is the symmetric distribution like the normal distribution.  
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*This is the symmetric distribution like the Normal Distribution.  
 
*It is used when making inferences about a population mean when the population standard deviation is not known.
 
*It is used when making inferences about a population mean when the population standard deviation is not known.
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*In <math> TDIST(x,df,t), x </math> is the numeric value to find the value of the distribution.
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*In <math> TDIST(Number,DegreeOfFreedom,Tail)</math>, <math>Number </math> is the numeric value to find the value of the distribution.
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*<math> df </math> is the integer which is indicating the number of degrees of freedom and <math> t </math> is indicating the number of distribution tails.
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*<math> DegreeOfFreedom </math> is the integer which is indicating the number of degrees of freedom and <math> Tail </math> is indicating the number of distribution tails.
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*Suppose t=1, then this distribution is one-tailed distribution and t=2, then this is two-tailed distribution.  
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*Suppose Tail=1, then this distribution is One-Tailed Distribution and Tail=2, then this is Two-Tailed Distribution.  
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*Also t=1, then it is calculated as <math> TDIST=P(X>x) </math>, where <math> X </math> is a random variable that follows the t-distribution.  
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*Also Tail=1, then it is calculated as <math> TDIST=P(X>x) </math>, where <math> X </math> is a random variable that follows the T-Distribution.  
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*And t=2, then it is calculated as <math> TDIST =P(X>x  or  X<-x) </math>.  
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*And Tail=2, then it is calculated as <math> TDIST =P(X>x  or  X<-x) </math>.  
 
*This function will return the result as error  
 
*This function will return the result as error  
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       1. Any one of the argument is nonnumeric.  
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       1. Any one of the argument is non-numeric.  
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       2. df<1 and x<0. When we are giving df and t as a decimals, then it is changing in to integers.
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       2. DegreeOfFreedom<1 and Number<0. When we are giving DegreeOfFreedom and Tail as a decimals, then it is changing in to integers.
  
 
==Examples==
 
==Examples==
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#TDIST(1.82,55,1) = 0.037101192599
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#=TDIST(1.82,55,1) = 0.037101192599
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#TDIST(1.82,55,2) = 0.074202385199
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#=TDIST(1.82,55,2) = 0.074202385199
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#TDIST(5.9812,75,1)= 3.50350792266e-8
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#=TDIST(5.9812,75,1)= 3.50350792266e-8
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#TDIST(5.9812,75,2) = 7.007015845328e-8
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#=TDIST(5.9812,75,2) = 7.007015845328e-8
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#TDIST(2.4579,20.4,1) = 0.0122238
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#=TDIST(2.4579,20.4,1) = 0.011612360861779858
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#TDIST(2.4579,20.4,1.2) = Null
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#=TDIST(2.4579,20.4,1.2) = 0.011612360861779858
  
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==Related Videos==
  
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{{#ev:youtube|DTiegJgxvlQ|280|center|TDIST}}
  
 
==See Also==
 
==See Also==
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*[[Manuals/calci/TINV  | TINV ]]
 
*[[Manuals/calci/TINV  | TINV ]]
  
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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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==References==
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[[Z_API_Functions | List of Main Z Functions]]
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[[ Z3 |  Z3 home ]]

Latest revision as of 16:22, 8 August 2018

TDIST(Number,DegreeOfFreedom,Tail),


  • is the numeric value to find the distribution.
  • is the degrees of freedom.
  • is the number of tails.
    • TDIST(),returns the Student t-distribution.

Description

  • This function gives the value of the T-Distribution.
  • It is the continuous probability distributions.
  • The T-Distribution is also called Students T-Distribution.
  • This is the symmetric distribution like the Normal Distribution.
  • It is used when making inferences about a population mean when the population standard deviation is not known.
  • In , is the numeric value to find the value of the distribution.
  • is the integer which is indicating the number of degrees of freedom and is indicating the number of distribution tails.
  • Suppose Tail=1, then this distribution is One-Tailed Distribution and Tail=2, then this is Two-Tailed Distribution.
  • Also Tail=1, then it is calculated as , where is a random variable that follows the T-Distribution.
  • And Tail=2, then it is calculated as .
  • This function will return the result as error
     1. Any one of the argument is non-numeric. 
     2. DegreeOfFreedom<1 and Number<0. When we are giving DegreeOfFreedom and Tail as a decimals, then it is changing in to integers.

Examples

  1. =TDIST(1.82,55,1) = 0.037101192599
  2. =TDIST(1.82,55,2) = 0.074202385199
  3. =TDIST(5.9812,75,1)= 3.50350792266e-8
  4. =TDIST(5.9812,75,2) = 7.007015845328e-8
  5. =TDIST(2.4579,20.4,1) = 0.011612360861779858
  6. =TDIST(2.4579,20.4,1.2) = 0.011612360861779858

Related Videos

TDIST

See Also

References


List of Main Z Functions

Z3 home

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