Difference between revisions of "Manuals/calci/TDIST"

Latest revision as of 16:22, 8 August 2018

TDIST(Number,DegreeOfFreedom,Tail),

$Number$ is the numeric value to find the distribution.
$DegreeOfFreedom$ 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 $TDIST(Number,DegreeOfFreedom,Tail)$ , $Number$ is the numeric value to find the value of the distribution.
$DegreeOfFreedom$ is the integer which is indicating the number of degrees of freedom and $Tail$ 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 $TDIST=P(X>x)$ , where $X$ is a random variable that follows the T-Distribution.
And Tail=2, then it is calculated as $TDIST=P(X>xorX<-x)$ .
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

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

References

Student's t-distribution

List of Main Z Functions

Z3 home

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-<div style="font-size:30px">'''TDIST(x,df,t), '''</div><br/>
+<div style="font-size:30px">'''TDIST(Number,DegreeOfFreedom,Tail), '''</div><br/>
-*<math>x </math>  is the numeric value to find the distribution.
+*<math>Number </math>  is the numeric value to find the distribution.
-*<math> df </math> is the degrees of freedom.
+*<math> DegreeOfFreedom </math> is the degrees of freedom.
-*<math> t </math> is the number of tails.
+*<math> Tail </math> is the number of tails.
+**TDIST(),returns the Student t-distribution.
 ==Description==
-*This function gives the value of the t-distribution.
+*This function gives the value of the T-Distribution.
 *It is the continuous probability distributions.
-*The t-distribution is also called students t-distribution.
+*The T-Distribution is also called Students T-Distribution.
-*This is the symmetric distribution like the normal 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 <math> TDIST(x,df,t), x </math> is the numeric value to find the value of the distribution.
+*In <math> TDIST(Number,DegreeOfFreedom,Tail)</math>, <math>Number </math> is the numeric value to find the value of the distribution.
-*<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.
+*<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.
-*Suppose t=1, then this distribution is one-tailed distribution and t=2, then this is two-tailed distribution.
+*Suppose Tail=1, then this distribution is One-Tailed Distribution and Tail=2, then this is Two-Tailed Distribution.
-*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.
+*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.
-*And t=2, then it is calculated as <math> TDIST =P(X>x or X<-x)</math>.
+*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
-. Any one of the argument is nonnumeric.
+. Any one of the argument is non-numeric.
-. df<1 and x<0. When we are giving df and t as a decimals, then it is changing in to integers.
+. DegreeOfFreedom<1 and Number<0. When we are giving DegreeOfFreedom and Tail as a decimals, then it is changing in to integers.
 ==Examples==
-#TDIST(1.82,55,1) = 0.037101192599
+#=TDIST(1.82,55,1) = 0.037101192599
-#TDIST(1.82,55,2) = 0.074202385199
+#=TDIST(1.82,55,2) = 0.074202385199
-#TDIST(5.9812,75,1)= 3.50350792266e-8
+#=TDIST(5.9812,75,1)= 3.50350792266e-8
-#TDIST(5.9812,75,2) = 7.007015845328e-8
+#=TDIST(5.9812,75,2) = 7.007015845328e-8
-#TDIST(2.4579,20.4,1) = 0.0122238
+#=TDIST(2.4579,20.4,1) = 0.011612360861779858
-#TDIST(2.4579,20.4,1.2) = Null
+#=TDIST(2.4579,20.4,1.2) = 0.011612360861779858
+==Related Videos==
+{{#ev:youtube|DTiegJgxvlQ|280|center|TDIST}}
 ==See Also==
 *[[Manuals/calci/TTEST | TTEST]]
 *[[Manuals/calci/TINV  | TINV ]]
+==References==
+*[http://en.wikipedia.org/wiki/Student%27s_t-distribution Student's t-distribution]
-==References==
+[[Z_API_Functions | List of Main Z Functions]]
+[[ Z3 |   Z3 home ]]

Difference between revisions of "Manuals/calci/TDIST"

Latest revision as of 16:22, 8 August 2018

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