Difference between revisions of "Manuals/calci/TTESTUNEQUALVARIANCES"

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(Created page with "<div id="6SpaceContent" class="zcontent" align="left"> '''TTESTTWOSAMPLESUNEQUALVARIANCES('''Array1, Array2, HypothesizeDiff, Alpha, NewTableFlag) where, '''Array1 '...")
 
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<div style="font-size:30px">'''TTESTTWOSAMPLESUNEQUALVARIANCES(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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'''TTESTTWOSAMPLESUNEQUALVARIANCES('''Array1, Array2, HypothesizeDiff, Alpha, NewTableFlag)
 
  
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where,
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==Description==
 +
*This function calculating the two Sample for unequal variances determines whether two sample means also distinct.
 +
*We can use this test when both:
 +
*1.the two sample sizes  are may are may not be equal;
 +
*2. The means and variances are distinct .
 +
*In <math>TTESTTWOSAMPLESUNEQUALVARIANCES(ar1,ar2,md,alpha,lv), ar1</math> and <math> ar2 </math> are two arrays of sample values.
 +
*<math> md </math> is the Hypothesized Mean Difference .Suppose md=0 which  indicates that sample means are hypothesized to be equal.
 +
*<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 lv value it will consider the value as FALSE.
 +
*The t statistic of this function calculated by:
 +
t=x1(bar)-x2(bar)/sx1(bar)-x2(bar) where sx1(bar)-x2(bar)= sqart[s1^2/n1+s2^2/n2]
 +
*Here s1^2 and s2^2 are unbiased estimators of the variances of two samples.n1 and n2 are the number of data points in two arrays . sx1(bar)-x2(bar) is not a pooled variance.
 +
*This function will give the result as error when
 +
      1. any one of th argument is nonnumeric.
 +
      2.alpha>1
  
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'''Array1 '''- Input range should be one block.
 
  
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'''Array2 '''- Input range should be one block.
 
  
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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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==Examples==
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{| class="wikitable"
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'''Alpha '''- represents the significance level and value in range 0 to 1.
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|+Spreadsheet
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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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! !! A !! B !! C !! D!! E !! F !! G
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----
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|-
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<div id="1SpaceContent" class="zcontent" align="left">T-Test: Two Sample for unequal variances determines whether two sample means are distinct.</div>
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! 1
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----
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| 12 || 21 || 9 || 18 || 27 || 37 ||41
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<div id="7SpaceContent" class="zcontent" align="left">
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|-
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! 2
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Lets see an example in (Column3Row1)
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| 19 || 8 || 45 || 29 || 14 || 10 || 11
 +
|}
  
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<nowiki>=TTESTTWOSAMPLESUNEQUALVARIANCES (R1C1:R6C1, R1C2:R5C2, 0, 0.05, TRUE)</nowiki>
 
  
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TTESTTWOSAMPLESUNEQUALVARIANCES returns the result in new sheet(9Space).
 
  
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<nowiki>=TTESTTWOSAMPLESUNEQUALVARIANCES(R1C1:R4C1,R1C2:R6C2, 0,- 0.055, TRUE)</nowiki>
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#=TTESTSAMPLESEQUALVARIANCES(A1:F1,A2:F2,0.5)
  
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TTESTTWOSAMPLESUNEQUALVARIANCES returns the #ERROR(Alpha = -0.055).
 
  
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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 : TWO SAMPLE ASSUMING UNEQUAL VARIANCES
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==See Also==
 +
*[[Manuals/calci/TTEST  | TTEST ]]
 +
*[[Manuals/calci/TDIST  | TDIST ]]
 +
*[[Manuals/calci/TINV  | TINV ]]
 +
*[[Manuals/calci/TTESTEQUALVARIANCES  | TTESTEQUALVARIANCES ]]
  
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</div></div>
 
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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, TTESTTWOSAMPLESUNEQUALVARIANCES returns the #ERROR.
 
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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=" " |
 
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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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| 10
 
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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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| 8
 
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| class=" " |
 
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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="sshl_f" | #ERROR
 
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| class=" " |
 
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|- class="odd"
 
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| class=" " | Row5
 
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| class=" " | 46
 
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| 34
 
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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="even"
 
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| Row6
 
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| class=" " | 6
 
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| 7
 
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| class=" " |
 
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|}
 
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<div align="left">[[Image:calci1.gif]]</div></div>
 
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----
 
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<div id="5SpaceContent" class="zcontent" align="left">
 
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{| class="SpreadSheet blue"
 
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|+ t-Test: Two-Sample Assuming Unequal Variances<br />
 
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|- class="even"
 
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!
 
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! Variable1
 
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! Variable2
 
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|- class="odd"
 
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| Mean
 
−
| 16.333333333333332
 
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| 14.2
 
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|- class="even"
 
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| Variance
 
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| 226.66666666666668
 
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| 152.2
 
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|- class="odd"
 
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| Observations
 
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| 6
 
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| 5
 
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|- class="even"
 
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| Hypothesized Mean Difference
 
−
| 0
 
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|- class="odd"
 
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| Degree Of Freedom
 
−
| 9
 
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|- class="even"
 
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| T Statistics
 
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| 0.2582913934642728
 
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|- class="odd"
 
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| P(T&lt;=t) One-tail
 
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| 0.4009958484338277
 
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|- class="even"
 
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| T Critical One-tail
 
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| 1.833112928058645
 
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|- class="odd"
 
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| P(T&lt;=t) Two-tail
 
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| 0.8019916968676554
 
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|- class="even"
 
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| T Critical Two-tail
 
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| 2.262157150957689
 
−
|}
 
  
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</div>
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==References==
−
----
 

Revision as of 04:37, 3 February 2014

TTESTTWOSAMPLESUNEQUALVARIANCES(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 calculating the two Sample for unequal variances determines whether two sample means also distinct.
  • We can use this test when both:
  • 1.the two sample sizes are may are may not be equal;
  • 2. The means and variances are distinct .
  • In and are two arrays of sample values.
  • is the Hypothesized Mean Difference .Suppose md=0 which indicates that sample means are hypothesized to be equal.
  • 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 lv value it will consider the value as FALSE.
  • The t statistic of this function calculated by:

t=x1(bar)-x2(bar)/sx1(bar)-x2(bar) where sx1(bar)-x2(bar)= sqart[s1^2/n1+s2^2/n2]

  • Here s1^2 and s2^2 are unbiased estimators of the variances of two samples.n1 and n2 are the number of data points in two arrays . sx1(bar)-x2(bar) is not a pooled variance.
  • This function will give the result as error when
     1. any one of th argument is nonnumeric.
     2.alpha>1


Examples

Spreadsheet
A B C D E F G
1 12 21 9 18 27 37 41
2 19 8 45 29 14 10 11


  1. =TTESTSAMPLESEQUALVARIANCES(A1:F1,A2:F2,0.5)


See Also


References

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