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(ar1,ar2,md,alpha,lv)'''</div><br/>
 +
*<math>ar1 </math> and <math> ar2 </math>  are set of values.
 +
*<math>md </math> is the  Hypothesized Mean Difference.
 +
*<math> alpha </math> is the significance level.
 +
*<math> lv </math> is the logical value.
  
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'''TTESTPAIRED'''(Array1, Array2, HypothesizeDiff, Alpha, NewTableFlag)
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==Description==
 +
*This function gives a 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(ar1,ar2,md,alpha,lv)</math>, <math> ar1 </math> and <math> ar2 </math> are two arrays of sample values.
 +
*<math> md </math> is the Hypothesized Mean Difference .In this function md=0.
 +
*<math> alpha </math> is the significance level which ranges from 0 to 1.
 +
*<math> lv </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>lv </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} is the average value, <math> sd </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,
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==Examples==
 +
Array1={21,24,29,11,19,8}
 +
Array2={17,10,32,7,15,22}
 +
TTESTPAIRED(A1:F1,A2:F2,5,0.25)
  
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'''Array1 '''- Input range should be one block.
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{| class="wikitable"
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|+Spreadsheet
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'''Array2 '''- Input range should be one block.
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|-
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! !! A !! B !! C !! D!! E !! F
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'''HypothesizeDiff '''- represents the Hypothesized Mean Difference.A value 0 indicates that sample means are hypothesized to be equal.
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|-
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! 1
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'''Alpha '''- represents the significance level and value in range 0 to 1.
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| 21 || 24 || 29 || 11 || 19|| 8  
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|-
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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>
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! 2
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----
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| 17 || 10 || 32 || 7 || 15 || 22
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<div id="1SpaceContent" class="zcontent" align="left">T-Test: Paired two-sample for mean determines whether a sample's means are distinct.</div>
 
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----
 
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<div id="7SpaceContent" class="zcontent" align="left">
 
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Lets see an example in (Column3Row1)
 
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<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).
 
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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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----
 
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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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----
 
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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=" " |
 
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| Column1
 
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| Column2
 
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| class="  " | Column3
 
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| Column4
 
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|- class="odd"
 
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| class=" " | Row1
 
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| 1
 
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| 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
 
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| 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
 
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| 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
 
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| 18
 
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| class="    SelectTD1 ChangeBGColor SelectTD1" |
 
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<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>
 
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| class=" " |
 
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|- class="odd"
 
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| class=" " | Row5
 
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| 37
 
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| class=" " | 31
 
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| class=" " |
 
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| class=" " |
 
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|- class="even"
 
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| Row6
 
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| 6
 
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| class=" " | 9
 
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| class=" " |
 
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| class=" " |
 
 
|}
 
|}
  
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<div align="left">[[Image:calci1.gif]]</div></div>
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==See Also==
−
----
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*[[Manuals/calci/TTEST  | TTEST ]]
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<div id="5SpaceContent" class="zcontent" align="left">
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*[[Manuals/calci/TDIST  | TDIST ]]
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*[[Manuals/calci/TINV  | TINV ]]
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{| class="SpreadSheet blue"
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*[[Manuals/calci/TTESTEQUALVARIANCES  | TTESTEQUALVARIANCES ]]
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|+ t-Test: Paired Two Sample for Means<br />
+
*[[Manuals/calci/TTESTUNEQUALVARIANCES  | TTESTUNEQUALVARIANCES ]]
−
|- class="even"
 
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!
 
−
! Variable1
 
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! Varianble2
 
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|- class="odd"
 
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| Mean
 
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| 13.333333333333334
 
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| 12.333333333333334
 
−
|- class="even"
 
−
| Variance
 
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| 164.26666666666665
 
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| 110.26666666666665
 
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|- class="odd"
 
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| Observations
 
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| 6
 
−
| 6
 
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|- class="even"
 
−
| Pearson Correlation
 
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| 0.9500807056547026
 
−
|- class="odd"
 
−
| Hypothesized Mean Difference
 
−
| 0
 
−
|- class="even"
 
−
| Degree Of Freedom
 
−
| 5
 
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|- class="odd"
 
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| T Statistics
 
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| 0.5649326828660319
 
−
|- class="even"
 
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| P(T&lt;=t) One-tail
 
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| 0.29826188106281603
 
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|- class="odd"
 
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| T Critical One-tail
 
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| 2.015048294624481
 
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|- class="even"
 
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| P(T&lt;=t) Two-tail
 
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| 0.5965237621256321
 
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|- class="odd"
 
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| T Critical Two-tail
 
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| 2.5705816859349686
 
−
|}
 
  
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</div>
+
==References==
−
----
 

Revision as of 22:51, 6 February 2014

TTESTPAIRED(ar1,ar2,md,alpha,lv)


  • and are set of values.
  • is the Hypothesized Mean Difference.
  • is the significance level.
  • is the logical value.

Description

  • This function gives a 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 Hypothesized Mean Difference .In this function md=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 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

Array1={21,24,29,11,19,8} Array2={17,10,32,7,15,22} TTESTPAIRED(A1:F1,A2:F2,5,0.25)

Spreadsheet
A B C D E F
1 21 24 29 11 19 8
2 17 10 32 7 15 22

See Also

References

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