Difference between revisions of "Manuals/calci/CHIDIST"
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| − | <div style="font-size:30px">'''CHIDIST( | + | <div style="font-size:30px">'''CHIDIST (Number,DegreeOfFreedom)'''</div><br/> |
| − | * | + | *<math>Number</math> is the value for which distribution is evaluated. |
| − | * | + | *<math>Degreeoffreedom</math> is the number of degrees of freedom. |
| + | **CHIDIST(), returns the one-tailed probability of the chi-squared distribution. | ||
==Description== | ==Description== | ||
*This function gives the one_tailed probability of the chi-squared distribution. | *This function gives the one_tailed probability of the chi-squared distribution. | ||
| − | *It is denoted by <math>\chi^2</math> distribution.Normally categorical data's may displayed in tables. | + | *It is denoted by <math>\chi^2</math> distribution. |
| − | *The <math>\chi^2</math> static used to compare the observed value in each table to the value | + | *Normally categorical data's may displayed in tables. |
| − | * | + | *The <math>\chi^2</math> static used to compare the observed value in each table to the assumed value. |
| − | + | *The conditions of <math>\chi^2</math> test is | |
#The table should be 2x2 or more than 2x2 | #The table should be 2x2 or more than 2x2 | ||
#Each observations should not be dependent | #Each observations should not be dependent | ||
| − | #All expected values should be 10 or greater. | + | #All expected values should be 10 or greater. |
| − | The test statistic is: | + | *The test statistic is: |
<math>\chi^2=\sum\frac{(Oi-Ei)^2}{Ei}</math> | <math>\chi^2=\sum\frac{(Oi-Ei)^2}{Ei}</math> | ||
| − | The degrees of freedom | + | The degrees of freedom is: (r–1)(c–1) |
*r = No. of rows | *r = No. of rows | ||
*c = No. of columns | *c = No. of columns | ||
| Line 23: | Line 24: | ||
Also this function will the result as Error when | Also this function will the result as Error when | ||
| − | #The | + | #The <math>Number</math> & <math>Degreeoffreedom</math> values are non-numeric |
| − | #The | + | #The <math>Number</math> value is negative or <math>Degreeoffreedom</math> value is not an integer |
| − | #The | + | #The <math>Degreeoffreedom < 1</math> or <math>Degreeoffreedom > 10^{10}</math> |
#Here CHIDIST=P(X>x),where X is a <math>\chi^2</math> random variable. | #Here CHIDIST=P(X>x),where X is a <math>\chi^2</math> random variable. | ||
| − | *CHIDIST(-2,1)=Error, because | + | *CHIDIST(-2,1)=Error, because Number is negative. |
| − | *CHIDIST(2,-1)=Error, because | + | *CHIDIST(2,-1)=Error, because Degreeoffreedom<1 |
| + | |||
| + | ==ZOS== | ||
| + | *The syntax is to calculate CHIDIST in ZOS is CHIDIST(Number,Degreeoffreedom). | ||
| + | *<math>Number</math> is the value for which distribution is evaluated. | ||
| + | *<math>Degreeoffreedom</math> is the number of degrees of freedom. | ||
| + | *For e.g.,CHIDIST(10..12,5.1..7.1..0.6) | ||
| + | {{#ev:youtube|44cEta1FnA4|280|center|Chi-squared Distribution}} | ||
==Examples== | ==Examples== | ||
{| id="TABLE3" class="SpreadSheet blue" | {| id="TABLE3" class="SpreadSheet blue" | ||
|- class="even" | |- class="even" | ||
| − | | CHIDIST( | + | | CHIDIST(Number,Degreeoffreedom) |
! x | ! x | ||
! df | ! df | ||
| Line 56: | Line 64: | ||
|- class="even" | |- class="even" | ||
|CHIDIST(-2,1) | |CHIDIST(-2,1) | ||
| − | | | + | | -2 |
|1 | |1 | ||
| − | | | + | |#N/A (NUMBER > 0) |
|- class="odd" | |- class="odd" | ||
|CHIDIST(2,-1) | |CHIDIST(2,-1) | ||
|2 | |2 | ||
| − | | | + | | -1 |
| − | | | + | |null |
|} | |} | ||
| + | |||
| + | ==Related Videos== | ||
| + | |||
| + | {{#ev:youtube|dXB3cUGnaxQ|280|center|Chi-Square Distribution}} | ||
==See Also== | ==See Also== | ||
| − | |||
*[[Manuals/calci/CHITEST | CHITEST]] | *[[Manuals/calci/CHITEST | CHITEST]] | ||
==References== | ==References== | ||
| − | [http://en.wikipedia.org/wiki/ | + | [http://en.wikipedia.org/wiki/Chi-squared_distribution CHI-SQUARE Distribution] |
| + | |||
| + | |||
| + | |||
| + | *[[Z_API_Functions | List of Main Z Functions]] | ||
| + | |||
| + | *[[ Z3 | Z3 home ]] | ||
Latest revision as of 09:50, 2 June 2020
CHIDIST (Number,DegreeOfFreedom)
- is the value for which distribution is evaluated.
- is the number of degrees of freedom.
- CHIDIST(), returns the one-tailed probability of the chi-squared distribution.
is the value for which distribution is evaluated.
is the number of degrees of freedom.
Description
- This function gives the one_tailed probability of the chi-squared distribution.
- It is denoted by distribution.
- Normally categorical data's may displayed in tables.
- The static used to compare the observed value in each table to the assumed value.
- The conditions of test is
distribution.- The table should be 2x2 or more than 2x2
- Each observations should not be dependent
- All expected values should be 10 or greater.
- The test statistic is:
The degrees of freedom is: (r–1)(c–1)
The degrees of freedom is: (r–1)(c–1)
- r = No. of rows
- c = No. of columns
Where:
- Oi-the observed value in the ith cell
- Ei- the expected value in the ith cell
Also this function will the result as Error when
- The & values are non-numeric
- The value is negative or value is not an integer
- The or
- Here CHIDIST=P(X>x),where X is a random variable.
or 
- CHIDIST(-2,1)=Error, because Number is negative.
- CHIDIST(2,-1)=Error, because Degreeoffreedom<1
ZOS
- The syntax is to calculate CHIDIST in ZOS is CHIDIST(Number,Degreeoffreedom).
- is the value for which distribution is evaluated.
- is the number of degrees of freedom.
- For e.g.,CHIDIST(10..12,5.1..7.1..0.6)
Examples
| CHIDIST(Number,Degreeoffreedom) | x | df | RESULT |
|---|---|---|---|
| CHIDIST(18,2) | 18 | 2 | 0.0001234098 |
| CHIDIST(15,1) | 15 | 1 | 0.0001075112 |
| CHIDIST(2,1) | 2 | 1 | 0.157299207050 |
| CHIDIST(-2,1) | -2 | 1 | #N/A (NUMBER > 0) |
| CHIDIST(2,-1) | 2 | -1 | null |
Related Videos
See Also
References