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Created page with "<div id="6SpaceContent" class="zcontent" align="left">Analysis Of Variances(ANOVA) is a method of checking if there is a relationship between two ror more data sets.ANOVA :Sin..."
<div id="6SpaceContent" class="zcontent" align="left">Analysis Of Variances(ANOVA) is a method of checking if there is a relationship between two ror more data sets.ANOVA :Single Factor performs a simple analysis of variances between two data sets.</div>
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<div id="1SpaceContent" class="zcontent" align="left">ANOVA :Single Factor performs a simple analysis of variances between two data sets.</div>
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<div id="7SpaceContent" class="zcontent" align="left">

ANOVA:SINGLE FACTOR returns #ERROR, if Alpha &lt;0 or Alpha &gt;1.

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<div id="12SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="left">

ANOVA : SINGLE FACTOR

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<div id="10SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">what is ANOVA?</div><div class="ZEditBox"><center></center></div></div>
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<div id="4SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Remarks </div></div>
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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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<div id="9SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Syntax</div><div class="ZEditBox"><center></center></div></div>
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<nowiki>=</nowiki>'''ANOVASIGLEFACTOR'''(Array, Alpha, GroupBy,NewTableFlag)

where,

'''Array '''- Input range should be one or two blocks.

'''Alpha '''- represents the constant and value in between 0 and 1.

'''GroupBy''' - Either groupby columns or rows.

'''NewTableFlag''' - is the TRUE or FALSE.If set as TRUE, the result in new sheet.If NewTableFlag is omitted, it assumed to be false.

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{| id="TABLE3" class="SpreadSheet blue"
|- class="even"
| class=" " |
| Column1
| class=" " | Column2
| Column3
| Column4
|- class="odd"
| class=" " | Row1
| class=" " | 1
| class=" " | 3
| class="sshl_f" | 15Space
| class="sshl_f" | 5
|- class="even"
| class=" " | Row2
| class=" " | 7
| class=" " | 8
| class=" " | 9
| class="sshl_f" | 128
|- class="odd"
| Row3
| class=" " | 12
| class=" " | 5
| 14
| class="sshl_f " | 15
|- class="even"
| Row4
| class=" " | 17
| class=" " | 18
| class="sshl_f" | #ERROR
| class=" " | 20
|- class="odd"
| class=" " | Row5
| 37
| class=" " | 31
| class="SelectTD1 ChangeBGColor SelectTD1" | 23
| 168
|- class="even"
| Row6
| class="sshl_f" | 16Space
| 0.850904
| 1.619775
| 0.525322
|}

<div align="left">[[Image:calci1.gif]]</div></div>
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{| id="TABLE1" class="SpreadSheet blue"
|+ Anova: Single Factor<br />SUMMARY
|- class="even"
! Groups
! Count
! Sum
! Average
! Variance
|- class="odd"
| Column1
| 4
| 37
| 9.25
| 46.916666666666664
|- class="even"
| Column2
| 4
| 34
| 8.5
| 44.333333333333336
|}

{| id="TABLE2" class="SpreadSheet blue"
|+ <br />ANOVA
|- class="even"
! Source of Variation
! Sum of Squares
! Degree of Freedom
! Mean of Squares
! F
! Probability
! F Critical
|- class="odd"
| Between Groups:
| 1.125
| 1
| 1.125
| 0.024657534246575342
| 0.8886077621608085
| 5.98702940083107
|- class="even"
| Within Groups:
| 273.75
| 6
| 45.625
|- class="odd"
| Total:
| 274.875
| 7
|}

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{| id="TABLE4" class="SpreadSheet blue"
|+ Anova: Single Factor<br />SUMMARY
|- class="even"
! Groups
! Count
! Sum
! Average
! Variance
|- class="odd"
| Column1
| 4
| 37
| 9.25
| 46.916666666666664
|- class="even"
| Column2
| 4
| 34
| 8.5
| 44.333333333333336
|}

{| id="TABLE5" class="SpreadSheet blue"
|+ <br />ANOVA
|- class="even"
! Source of Variation
! Sum of Squares
! Degree of Freedom
! Mean of Squares
! F
! Probability
! F Critical
|- class="odd"
| Between Groups:
| 1.125
| 1
| 1.125
| 0.024657534246575342
| 0.8886077621608085
| 5.98702940083107
|- class="even"
| Within Groups:
| 273.75
| 6
| 45.625
|- class="odd"
| Total:
| 274.875
| 7
|}

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<div id="14SpaceContent" class="zcontent" align="left">

Lets see an example in (Column3 , Row1)

<nowiki>=ANOVASINGLEFACTOR(R1C1:R4:C2, 0.05, "columns", TRUE) </nowiki>

ANOVASINGLEFACTOR returns the result in new sheet(15Space).

<nowiki>=ANOVASINGLEFACTOR(R1C1:R4C2 , 0.05, "rows", TRUE)</nowiki>

It returns the results in new sheet(16Space).

<nowiki>=ANOVASINGLEFACTOR(R1C1:R4C2 , -0.05, "rows", FALSE)</nowiki>

It returns the #ERROR(Alpha &gt;1 or Alpha&lt;0)

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