Difference between revisions of "Manuals/calci/TTESTPAIRED"

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(Created page with "<div id="6SpaceContent" class="zcontent" align="left"> '''TTESTPAIRED'''(Array1, Array2, HypothesizeDiff, Alpha, NewTableFlag) where, '''Array1 '''- Input range sho...")
 
 
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<div id="6SpaceContent" class="zcontent" align="left">
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<div style="font-size:30px">'''TTESTPAIRED(Array1,Array2,HypothesizedMeanDifference,Alpha,NewTableFlag)'''</div><br/>
 +
*<math>Array1 </math> and <math> Array2 </math>  are set of values.
 +
*<math>HypothesizedMeanDifference </math> is the  Hypothesized Mean Difference.
 +
*<math> Alpha </math> is the significance level.
 +
*<math> NewTableFlag </math> is the logical value.
 +
**TTESTPAIRED() determines whether a samples means are distinct.
  
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'''TTESTPAIRED'''(Array1, Array2, HypothesizeDiff, Alpha, NewTableFlag)
+
==Description==
 +
*This function gives a value of paired t -test.
 +
*A paired t-test looks at the difference between paired values in two samples.
 +
*Paired samples also called matched samples or repeated measures.
 +
*This test is used when the samples are dependent. i.e.,only one sample which is tested twice or the two samples that have been paired.
 +
*In <math>TTESTPAIRED(Array1,Array2,HypothesizedMeanDifference,Alpha,NewTableFlag)</math>, <math> Array1 </math> and <math> Array2 </math> are two arrays of sample values.
 +
*<math> HypothesizedMeanDifference </math> is the value of the Hypothesized Mean Difference .In this function HypothesizedMeanDifference=0.
 +
*<math> Alpha </math> is the significance level which ranges from 0 to 1.
 +
*<math> NewTableFlag </math> is the logical value like TRUE or FALSE.TRUE is indicating the result will display in new worksheet.Suppose we are omitted the <math>NewTableFlag </math> value it will consider the value as FALSE.
 +
*The t statistic of this function calculated by:
 +
<math> t = \frac{\bar{x}-\mu_ 0}{s.d/\sqrt{n}}</math>
 +
where <math> \bar{x}</math> is the average value, <math> s.d </math> is the standard deviation and <math> \mu_0 </math> is the constant.
 +
*This function will give the result as error when
 +
      1. any one of the argument is non_numeric.
 +
      2. Alpha>1.
  
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where,
+
==Examples==
  
−
'''Array1 '''- Input range should be one block.
+
{| class="wikitable"
 +
|+Spreadsheet
 +
|-
 +
! !! A !! B !! C !! D!! E !! F
 +
|-
 +
! 1
 +
| 21 || 24 || 29 || 11 || 19|| 8
 +
|-
 +
! 2
 +
| 17 || 10 || 32 || 7 || 15 || 22
 +
|}
  
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'''Array2 '''- Input range should be one block.
+
#=TTESTPAIRED(A1:F1,A2:F2,5,0.25)
 +
{| class="wikitable"
 +
|+Result
 +
|+t-TEST: PAIRED TWO SAMPLE FOR MEANS
 +
|-
 +
! !! VARIABLE1  !! VARIABLE2
 +
|-
 +
! MEAN
 +
| 18.666666666666668 || 17.166666666666668
 +
|-
 +
! VARIANCE
 +
| 62.66666666666667 || 80.56666666666666
 +
|-
 +
! OBSERVATIONS
 +
| 6 || 6
 +
|-
 +
! PEARSON CORRELATION
 +
| 0.39499794997886284
 +
|-
 +
! HYPOTHESIZED MEAN DIFFERENCE
 +
| 5
 +
|-
 +
! DEGREE OF FREEDOM
 +
| 5
 +
|-
 +
! T STATISTICS
 +
| -0.9186172406951716
 +
|-
 +
! P(T<=t) ONE-TAIL
 +
|0.20022020093421516
 +
|-
 +
! T CRITICAL ONE-TAIL
 +
| 0.7266868353364707
 +
|-
 +
! P(T<=t) TWO-TAIL
 +
| 0.40044040186843033
 +
|-
 +
! T CRITICAL TWO-TAIL
 +
| 1.300949035127116
 +
|}
  
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'''HypothesizeDiff '''- represents the Hypothesized Mean Difference.A value 0 indicates that sample means are hypothesized to be equal.
+
==Related Videos==
  
−
'''Alpha '''- represents the significance level and value in range 0 to 1.
+
{{#ev:youtube|RHBIQ2reACM|280|center|TTESTPAIRED}}
  
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''' ''''''NewTableFlag''' - is the TRUE or FALSE.If set as TRUE,the result in new sheet. If NewTableFlag is omitted, it assumed to be FALSE.</div>
+
==See Also==
−
----
+
*[[Manuals/calci/TTEST  | TTEST ]]
−
<div id="1SpaceContent" class="zcontent" align="left">T-Test: Paired two-sample for mean determines whether a sample's means are distinct.</div>
+
*[[Manuals/calci/TDIST  | TDIST ]]
−
----
+
*[[Manuals/calci/TINV  | TINV ]]
−
<div id="7SpaceContent" class="zcontent" align="left">
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*[[Manuals/calci/TTESTEQUALVARIANCES  | TTESTEQUALVARIANCES ]]
 +
*[[Manuals/calci/TTESTUNEQUALVARIANCES  | TTESTUNEQUALVARIANCES ]]
  
−
Lets see an example in (Column3Row1)
+
==References==
 +
*[http://en.wikipedia.org/wiki/Student%27s_t-test Student's t-test]
  
−
<nowiki>=TTESTPAIRED (R1C1:R6C1, R1C2:R6C2, 0, 0.05, TRUE)</nowiki>
 
  
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TTESTPAIRED returns the result in new sheet(5Space).
 
  
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<nowiki>=TTESTPAIRED(R1C1:R4C1,R1C2:R6C2, 0, 0.055, TRUE)</nowiki>
 
  
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TTESTPAIRED returns the #ERROR(LengthofArray1 != LengthofArray2).
+
*[[Z_API_Functions | List of Main Z Functions]]
−
 
 
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</div>
 
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----
 
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<div id="12SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="left">
 
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T-TEST : PAIRED TWO SAMPLE FOR MEANS
 
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</div></div>
 
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----
 
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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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----
 
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<div id="4SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Remarks </div></div>
 
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----
 
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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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----
 
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<div id="8SpaceContent" class="zcontent" align="left">
 
−
 
 
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If the Alpha &lt; 0 or Alpha &gt;1, TTESTPAIRED returns the #ERROR.
 
−
 
 
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TTESTPAIRED returns the #ERROR, if Length of Array1 != Length of Array2.
 
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</div>
 
−
----
 
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<div id="2SpaceContent" class="zcontent" align="left">
 
−
 
 
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{| id="TABLE3" class="SpreadSheet blue"
 
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|- class="even"
 
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| class=" " |
 
−
| Column1
 
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| Column2
 
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| class="  " | Column3
 
−
| Column4
 
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|- class="odd"
 
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| class=" " | Row1
 
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| 1
 
−
| 3
 
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| class="sshl_f" | 5Space
 
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| class=" " |
 
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|- class="even"
 
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| class="  " | Row2
 
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| 7
 
−
| 8
 
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| class="    " |
 
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| class=" " |
 
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|- class="odd"
 
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| Row3
 
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| 12
 
−
| 5
 
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| class="sshl_f" | #ERROR
 
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| class=" " |
 
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|- class="even"
 
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| Row4
 
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| 17
 
−
| 18
 
−
| class="    SelectTD1 ChangeBGColor SelectTD1" |
 
−
<div id="2Space_Handle" class="zhandles" title="Click and Drag to resize CALCI Column/Row/Cell. It is EZ!"></div><div id="2Space_Copy" class="zhandles" title="Click and Drag over to AutoFill other cells."></div><div id="2Space_Drag" class="zhandles" title="Click and Drag to Move/Copy Area.">[[Image:copy-cube.gif]]  </div>
 
−
| class=" " |
 
−
|- class="odd"
 
−
| class=" " | Row5
 
−
| 37
 
−
| class=" " | 31
 
−
| class=" " |
 
−
| class=" " |
 
−
|- class="even"
 
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| Row6
 
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| 6
 
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| class=" " | 9
 
−
| class=" " |
 
−
| class=" " |
 
−
|}
 
−
 
 
−
<div align="left">[[Image:calci1.gif]]</div></div>
 
−
----
 
−
<div id="5SpaceContent" class="zcontent" align="left">
 
−
 
 
−
{| class="SpreadSheet blue"
 
−
|+ t-Test: Paired Two Sample for Means<br />
 
−
|- class="even"
 
−
!
 
−
! Variable1
 
−
! Varianble2
 
−
|- class="odd"
 
−
| Mean
 
−
| 13.333333333333334
 
−
| 12.333333333333334
 
−
|- class="even"
 
−
| Variance
 
−
| 164.26666666666665
 
−
| 110.26666666666665
 
−
|- class="odd"
 
−
| Observations
 
−
| 6
 
−
| 6
 
−
|- class="even"
 
−
| Pearson Correlation
 
−
| 0.9500807056547026
 
−
|- class="odd"
 
−
| Hypothesized Mean Difference
 
−
| 0
 
−
|- class="even"
 
−
| Degree Of Freedom
 
−
| 5
 
−
|- class="odd"
 
−
| T Statistics
 
−
| 0.5649326828660319
 
−
|- class="even"
 
−
| P(T&lt;=t) One-tail
 
−
| 0.29826188106281603
 
−
|- class="odd"
 
−
| T Critical One-tail
 
−
| 2.015048294624481
 
−
|- class="even"
 
−
| P(T&lt;=t) Two-tail
 
−
| 0.5965237621256321
 
−
|- class="odd"
 
−
| T Critical Two-tail
 
−
| 2.5705816859349686
 
−
|}
 
  
−
</div>
+
*[[ Z3 |  Z3 home ]]
−
----
 

Latest revision as of 14:55, 18 June 2018

TTESTPAIRED(Array1,Array2,HypothesizedMeanDifference,Alpha,NewTableFlag)


  • and are set of values.
  • is the Hypothesized Mean Difference.
  • is the significance level.
  • is the logical value.
    • TTESTPAIRED() determines whether a samples means are distinct.

Description

  • This function gives a value of paired t -test.
  • A paired t-test looks at the difference between paired values in two samples.
  • Paired samples also called matched samples or repeated measures.
  • This test is used when the samples are dependent. i.e.,only one sample which is tested twice or the two samples that have been paired.
  • In , and are two arrays of sample values.
  • is the value of the Hypothesized Mean Difference .In this function HypothesizedMeanDifference=0.
  • is the significance level which ranges from 0 to 1.
  • is the logical value like TRUE or FALSE.TRUE is indicating the result will display in new worksheet.Suppose we are omitted the value it will consider the value as FALSE.
  • The t statistic of this function calculated by:

where is the average value, is the standard deviation and is the constant.

  • This function will give the result as error when
      1. any one of the argument is non_numeric.
      2. Alpha>1.

Examples

Spreadsheet
A B C D E F
1 21 24 29 11 19 8
2 17 10 32 7 15 22
  1. =TTESTPAIRED(A1:F1,A2:F2,5,0.25)
Result t-TEST: PAIRED TWO SAMPLE FOR MEANS
VARIABLE1 VARIABLE2
MEAN 18.666666666666668 17.166666666666668
VARIANCE 62.66666666666667 80.56666666666666
OBSERVATIONS 6 6
PEARSON CORRELATION 0.39499794997886284
HYPOTHESIZED MEAN DIFFERENCE 5
DEGREE OF FREEDOM 5
T STATISTICS -0.9186172406951716
P(T<=t) ONE-TAIL 0.20022020093421516
T CRITICAL ONE-TAIL 0.7266868353364707
P(T<=t) TWO-TAIL 0.40044040186843033
T CRITICAL TWO-TAIL 1.300949035127116

Related Videos

TTESTPAIRED

See Also

References



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