Difference between revisions of "Manuals/calci/TTEST"

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<div id="6SpaceContent" class="zcontent" align="left"><font color="#484848"><font face="Arial, sans-serif"><font size="2">'''TTEST'''</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">'''ar1'''</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">'''ar2'''</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">'''t'''</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">'''type'''</font></font></font><font color="#484848"><font face="Arial, sans-serif"><font size="2">)</font></font></font>
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<div style="font-size:30px">'''TTEST(Array1,Array2,Tails,Type)'''</div><br/>
 +
*<math>Array1 </math> and <math> Array2 </math> are the array of values.
 +
*<math> Tails </math> is the number of distribution tails.
 +
*<math> Type </math> is the type of t-test.
 +
**TTEST() returns the probability associated with a Students t-test.
  
<font color="#484848"><font face="Arial, sans-serif"><font size="2">'''Where ar1, ar2 '''</font></font></font><font color="#484848"><font face="Arial, sans-serif"><font size="2">are t</font></font></font><font color="#484848"><font face="Arial, sans-serif"><font size="2">he first and second data sets,'t' the number of distribution tails,and 'type' is the kind of t-Test to perform.</font></font></font>
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==Description==
 +
*This function gives the probability of the t-test.
 +
*It is also called student's t-test.
 +
*This function is used to find the probability of two samples having the same mean but equal or unequal variances.
 +
*In <math>TTEST(Array1,Array2,Tails,Type)</math>, <math>Array1</math> and <math>Array2</math> are two set of array values.
 +
*ta is indicating the number of distribution tails. ta value is either 1 or 2.
 +
*If Tails=1,then TTEST uses the one-tailed distribution.If Tails=2, then TTEST uses the two-tailed distribution. Type is the type of t-Test. Type value is 1 or 2 or 3.
 +
{| class="wikitable"
 +
|-
 +
|Type value  ||          t-Test is performed
 +
|-
 +
|1      ||                Paired
 +
|-
 +
|2       ||                Two-sample equal variance
 +
|-
 +
|3      ||                Two-sample unequal variance
 +
|}
 +
*Suppose we are giving ta and ty in decimals , then it will converted in to integers.
 +
*TTEST uses the value of Array1 and Array2 to find non-negative t-statistic.
 +
*If Tails=1, then it gives the probability of a higher value of the t-statistic with consideration of two arrays of samples with the same mean.
 +
*If Tails=2, then TTEST is gives double that when ta=1 and corresponds to the probability of a higher absolute value of the t-statistic with the consideration of same mean.
 +
This function will give the result as error when
 +
      1. Array1 and Array2 have a different number of data points and Type=1.
 +
      2. Any one of the argument is nonnumeric.
 +
      3. Tails>2 and Type>3.
  
</div>
+
==Examples==
----
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{| class="wikitable"
<div id="1SpaceContent" class="zcontent" align="left"> <font color="#484848"><font face="Arial, sans-serif"><font size="2">This function returns the probability associated with a Student's t-Test. </font></font></font></div>
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|+Spreadsheet
----
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|-
<div id="7SpaceContent" class="zcontent" align="left">
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! !! A !! B !! C !! D!! E!! F !! G
 
+
|-
* <font color="#484848"><font face="Arial, sans-serif"><font size="2">TTEST returns the error value when array1 and array2 have a different number of data points or 't' or type is nonnumeric.</font></font></font>
+
! 1
* <font color="#484848"><font face="Arial, sans-serif"><font size="2">In this test 't' value must be 1 or 2.</font></font></font>
+
| 3 || 5 || 14 || 10 || 8 || 2 || 15
 
+
|-
</div>
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! 2
----
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| 11 || 19 || 5 || 4 || 15 || 7 || 3
<div id="12SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="left">
+
|}
 
 
TTEST
 
 
 
</div></div>
 
----
 
<div id="8SpaceContent" class="zcontent" align="left"> 
 
 
 
<font color="#484848"><font face="Arial, sans-serif"><font size="2">Lets see an example,</font></font></font>
 
 
 
<font color="#484848"><font face="Arial, sans-serif"><font size="2">B C</font></font></font>
 
 
 
<font color="#484848"><font face="Arial, sans-serif"><font size="2">4 5</font></font></font>
 
 
 
<font color="#484848"><font face="Arial, sans-serif"><font size="2">5 15</font></font></font>
 
  
<font color="#484848"><font face="Arial, sans-serif"><font size="2">6 6</font></font></font>
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#=TTEST(A1:G1,A2:G2,1,1)=0.399108571503
 +
#=TTEST(A1:G1,A2:G2,2,1)=0.7982171430076
 +
#=TTEST(A1:G1,A2:G2,1,2)=0.3725946027453
 +
#=TTEST(A1:G1,A2:G2,2,2)=0.7451892054907
 +
#=TTEST(A1:G1,A2:G2,1,3) = 0.37285157760157517
 +
#=TTEST(A1:G1,A2:G2,2,3) = 0.7457031552031503
 +
#=TTEST(A1:G1,A2:G2,2.2,1.3) = NAN
  
<font color="#484848"><font face="Arial, sans-serif"><font size="2">7 4</font></font></font>
+
==Related Videos==
  
<font color="#484848"><font face="Arial, sans-serif"><font size="2">1 5</font></font></font>
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{{#ev:youtube|BlS11D2VL_U|280|center|T-TEST}}
  
<font color="#484848"><font face="Arial, sans-serif"><font size="2">2 5</font></font></font>
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==See Also==
 +
*[[Manuals/calci/TDIST  | TDIST ]]
 +
*[[Manuals/calci/TINV  | TINV ]]
  
<font color="#484848"><font face="Arial, sans-serif"><font size="2">5 19</font></font></font>
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==References==
 +
*[http://docs.statwing.com/examples-and-definitions/t-test/ T-test]
  
<font color="#484848"><font face="Arial, sans-serif"><font size="2">4 2</font></font></font>
 
  
<font color="#484848"><font face="Arial, sans-serif"><font size="2"><nowiki>=TTEST(B2:B9,C2:C9,2,1) is 0.1499</nowiki></font></font></font>
 
  
</div>
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*[[Z_API_Functions | List of Main Z Functions]]
----
 
<div id="10SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Syntax </div><div class="ZEditBox"><center></center></div></div>
 
----
 
<div id="4SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Remarks </div></div>
 
----
 
<div id="3SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Examples </div></div>
 
----
 
<div id="11SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Description </div></div>
 
----
 
<div id="2SpaceContent" class="zcontent" align="left">
 
 
 
{| id="TABLE3" class="SpreadSheet blue"
 
|- class="even"
 
| class=" " |
 
| class="      " | Column1
 
| class="      " | Column2
 
| class="  " | Column3
 
| class="  " | Column4
 
|- class="odd"
 
| class=" " | Row1
 
| class="sshl_f " | 4
 
| class="sshl_f " | 5
 
| class="sshl_f" | 0.149852
 
| class="sshl_f" |
 
|- class="even"
 
| class="  " | Row2
 
| class="sshl_f" | 5
 
| class="sshl_f" | 15
 
| class="sshl_f" |
 
| class="sshl_f  " |
 
|- class="odd"
 
| Row3
 
| class="sshl_f" | 6
 
| class="sshl_f" | 6
 
| class="sshl_f" |
 
| class="sshl_f" |
 
|- class="even"
 
| Row4
 
| class="sshl_f" | 7
 
| class="sshl_f" | 4
 
| class="sshl_f  " |
 
| class="sshl_f" |
 
|- class="odd"
 
| class="sshl_f" | Row5
 
| class="sshl_f" | 1
 
| class="sshl_f" | 5
 
| class="sshl_f  " |
 
| class="sshl_f  " |
 
|- class="even"
 
| class="sshl_f" | Row6
 
| class="sshl_f" | 2
 
| class="sshl_f" | 5
 
| class="sshl_f" |
 
| class="sshl_f" |
 
|- class="odd"
 
| class="sshl_f" | Row7
 
| class=" " | 5
 
| class="sshl_f" | 19
 
| class="sshl_f  " |
 
| class="SelectTD" |
 
|- class="even"
 
| class="sshl_f" | Row8
 
| class=" " | 4
 
| class=" " | 2
 
| class="  " |
 
|
 
|}
 
  
<div align="left">[[Image:calci1.gif]]</div></div>
+
*[[ Z3 |  Z3 home ]]
----
 

Latest revision as of 14:45, 18 June 2018

TTEST(Array1,Array2,Tails,Type)


  • and are the array of values.
  • is the number of distribution tails.
  • is the type of t-test.
    • TTEST() returns the probability associated with a Students t-test.

Description

  • This function gives the probability of the t-test.
  • It is also called student's t-test.
  • This function is used to find the probability of two samples having the same mean but equal or unequal variances.
  • In , and are two set of array values.
  • ta is indicating the number of distribution tails. ta value is either 1 or 2.
  • If Tails=1,then TTEST uses the one-tailed distribution.If Tails=2, then TTEST uses the two-tailed distribution. Type is the type of t-Test. Type value is 1 or 2 or 3.
Type value t-Test is performed
1 Paired
2 Two-sample equal variance
3 Two-sample unequal variance
  • Suppose we are giving ta and ty in decimals , then it will converted in to integers.
  • TTEST uses the value of Array1 and Array2 to find non-negative t-statistic.
  • If Tails=1, then it gives the probability of a higher value of the t-statistic with consideration of two arrays of samples with the same mean.
  • If Tails=2, then TTEST is gives double that when ta=1 and corresponds to the probability of a higher absolute value of the t-statistic with the consideration of same mean.

This function will give the result as error when

     1. Array1 and Array2 have a different number of data points and Type=1.
     2. Any one of the argument is nonnumeric.
     3. Tails>2 and Type>3.

Examples

Spreadsheet
A B C D E F G
1 3 5 14 10 8 2 15
2 11 19 5 4 15 7 3
  1. =TTEST(A1:G1,A2:G2,1,1)=0.399108571503
  2. =TTEST(A1:G1,A2:G2,2,1)=0.7982171430076
  3. =TTEST(A1:G1,A2:G2,1,2)=0.3725946027453
  4. =TTEST(A1:G1,A2:G2,2,2)=0.7451892054907
  5. =TTEST(A1:G1,A2:G2,1,3) = 0.37285157760157517
  6. =TTEST(A1:G1,A2:G2,2,3) = 0.7457031552031503
  7. =TTEST(A1:G1,A2:G2,2.2,1.3) = NAN

Related Videos

T-TEST

See Also

References