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| − | <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.</div>
| + | =ANOVATWOFACTORWITHREPLICATION(Array, Alpha, NumberOfSamples, NewTableFlag)= |
| − | ----
| |
| − | <div id="1SpaceContent" class="zcontent" align="left">ANOVA :Two-Factor with replication performs an analysis of variances between two more data sets. And used when we have more than one sample from each data set.</div>
| |
| − | ----
| |
| − | <div id="7SpaceContent" class="zcontent" align="left">
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| | | | |
| − | ANOVATWOFACTORWITHREPLICATION returns #ERROR, if Alpha <0 or Alpha >1.
| + | *where, <math>Array</math> is an array of numbers or reference to cells containing array |
| | + | *<math>Alpha</math> represents a constant value between '0' and '1' |
| | + | *<math>NumberOfSamples</math> represents the number of samples in an array |
| | + | *<math>NewTableFlag</math> that decides to display the output in the same worksheet or a new space cube. |
| | | | |
| − | It returns the #ERROR, when length of Array != length of NumberofSample.
| + | ANOVATWOFACTORWITHREPLICATION() performs an analysis of variances between two or more data sets. |
| | | | |
| − | </div>
| + | == Description == |
| − | ----
| |
| − | <div id="12SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="left">
| |
| | | | |
| − | ANOVA : TWO - FACTOR WITH REPLICATION
| + | ANOVATWOFACTORWITHREPLICATION(Array, Alpha, NumberOfSamples, NewTableFlag) |
| | | | |
| − | </div></div>
| + | *Analysis Of Variances(ANOVA) is a method of checking relationship between two or more data sets. |
| − | ----
| + | *<math>Alpha</math> should be in between '0' and '1'. Else Calci displays #N/A error message. |
| − | <div id="10SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">what is ANOVA?</div><div class="ZEditBox"><center></center></div></div>
| + | *Data in an array can be divided in one or more groups. That is represented by <math>NumberOfSamples</math>. |
| − | ----
| + | *<math>NewTableFlag</math> can be a logical value TRUE or FALSE. If omitted, Calci assumes it to be FALSE. |
| − | <div id="4SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Remarks </div></div> | + | *If <math>NewTableFlag</math> is TRUE, the result is displayed on new zspace sheet. |
| − | ----
| |
| − | <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="9SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Syntax</div><div class="ZEditBox"><center></center></div></div> | |
| − | ----
| |
| − | <div id="5SpaceContent" class="zcontent" align="left">
| |
| | | | |
| − | <nowiki>=</nowiki>'''ANOVATWOFACTORWITHREPLICATION'''(Array, NumberofSample, Alpha, NewTableFlag)
| + | == Examples == |
| | | | |
| − | where,
| + | Consider the following table with Columns A and B as array inputs for ANOVATWOFACTORWITHREPLICATION() function. |
| | | | |
| − | '''Array '''- Input range should be one or two blocks.
| |
| − |
| |
| − | '''Alpha '''- is the constant in between 0 and 1.
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| − |
| |
| − | '''NumberofSample''' - Input range should be one blocks.
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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>
| |
| − | ----
| |
| − | <div id="14SpaceContent" class="zcontent" align="left">
| |
| − |
| |
| − | Lets see an example in (Column3 , Row1)
| |
| − |
| |
| − | <nowiki>=ANOVATWOFACTORWITHREPLICATION(R1C1:R12C2, 2, 0.01, TRUE) </nowiki>
| |
| − |
| |
| − | ANOVATWOFACTORWITHREPLICATION returns the result in new sheet(13Space).
| |
| − |
| |
| − | <nowiki>=ANOVATWOFACTORWITHREPLICATION(R1C1:R12C2 , 2,-0.05, FALSE)</nowiki>
| |
| − |
| |
| − | It returns the #ERROR(Alpha >1 or Alpha<0)
| |
| − |
| |
| − | </div>
| |
| − | ----
| |
| | <div id="2SpaceContent" class="zcontent" align="left"> | | <div id="2SpaceContent" class="zcontent" align="left"> |
| | | | |
| | {| id="TABLE3" class="SpreadSheet blue" | | {| id="TABLE3" class="SpreadSheet blue" |
| | |- class="even" | | |- class="even" |
| | + | | class="sshl_f" | 1 |
| | + | | class=" " |3 |
| | | class=" " | | | | class=" " | |
| − | | class=" " | Column1
| + | |
| − | | class=" " | Column2
| |
| − | | class=" " | Column3
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| − | | Column4
| |
| | |- class="odd" | | |- class="odd" |
| − | | class=" " | Row1 | + | | class="sshl_f" | 2 |
| − | | class=" " | 1 | + | | class=" " |5 |
| − | | class=" " | 3
| + | | class=" " | |
| − | | class="sshl_f" | 13Space | + | |
| − | | class="sshl_f" | 5
| |
| | |- class="even" | | |- class="even" |
| − | | class="sshl_f" | Row2 | + | | class="sshl_f" | 6 |
| − | | class=" " | 2 | + | | class=" " |41 |
| − | | class=" " | 5 | + | | class=" " | |
| − | | class="sshl_f " |
| + | |
| − | | class="sshl_f" | #ERROR
| |
| | |- class="odd" | | |- class="odd" |
| − | | class="sshl_f" | Row3 | + | | class="sshl_f" | 8 |
| − | | class=" " | 6 | + | | class=" " |45 |
| − | | class=" " | 41 | + | | class=" " | |
| − | | class="sshl_f" |
| + | |
| − | | class="sshl_f 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="even" | | |- class="even" |
| − | | class="sshl_f" | Row4 | + | | class="sshl_f" | 9 |
| − | | class=" " | 8 | + | | class=" " |56 |
| − | | class=" " | 45 | + | | class=" " | |
| − | | class="sshl_f" |
| + | |
| − | | class="sshl_f" |
| |
| | |- class="odd" | | |- class="odd" |
| − | | class="sshl_f" | Row5 | + | | class="sshl_f" | 10 |
| − | | class=" " | 9 | + | | class=" " |8 |
| − | | class=" " | 56 | + | | class=" " | |
| − | | class="sshl_f" |
| + | |
| − | | class="sshl_f" |
| |
| | |- class="even" | | |- class="even" |
| − | | class="sshl_f" | Row6 | + | | class="sshl_f" | 7 |
| − | | class=" " | 10
| + | | class=" " |8 |
| − | | class=" " | 8 | + | | class=" " | |
| − | | class="sshl_f" | | + | |
| − | | class="sshl_f" |
| |
| | |- class="odd" | | |- class="odd" |
| − | | class="sshl_f" | Row7 | + | | class="sshl_f" | 12 |
| − | | class=" " | 7 | + | | class=" " |5 |
| − | | class=" " | 8 | + | | class=" " | |
| − | | 9
| + | |
| − | | class="sshl_f" | 128
| |
| | |- class="even" | | |- class="even" |
| − | | class="sshl_f" | Row8 | + | | class="sshl_f" | 17 |
| − | | class=" " | 12 | + | | class=" " |18 |
| − | | class=" " | 5 | + | | class=" " | |
| − | | 14
| + | |
| − | | class="sshl_f " | 15
| |
| | |- class="odd" | | |- class="odd" |
| − | | class="sshl_f" | Row9 | + | | class="sshl_f" | 72 |
| − | | class=" " | 17 | + | | class=" " |31 |
| − | | class=" " | 18 | + | | class=" " | |
| − | | class="sshl_f" | 10000
| + | |
| − | | class=" " | 20
| |
| | |- class="even" | | |- class="even" |
| − | | class="sshl_f" | Row10 | + | | class="sshl_f" | 6 |
| − | | class=" " | 72 | + | | class=" " |3 |
| − | | class=" " | 31 | + | | class=" " | |
| − | | 23
| + | |
| − | | 40
| |
| | |- class="odd" | | |- class="odd" |
| − | | class="sshl_f" | Row11 | + | | class="sshl_f" | 2 |
| − | | class=" " | 6 | + | | class=" " |7 |
| − | | class=" " | 3 | + | | class=" " | |
| − | | 1.619775
| + | |
| − | | 0.525322
| |
| | |- class="even" | | |- class="even" |
| − | | class="sshl_f" | Row12 | + | | class="sshl_f" | |
| − | | class=" " | 2 | + | | class=" " | |
| − | | class=" " | 7 | + | | class=" " | |
| − | | class="sshl_f" |
| |
| − | | class="sshl_f" |
| |
| | |} | | |} |
| | | | |
| − | <div align="left">[[Image:calci1.gif]]</div></div>
| + | |
| − | ----
| + | =ANOVATWOFACTORWITHREPLICATION(A1:B12, 0.01, 2, TRUE) returns the result in new Zspace cube. |
| | + | |
| | <div id="8SpaceContent" class="zcontent" align="left"> | | <div id="8SpaceContent" class="zcontent" align="left"> |
| | | | |
| Line 158: |
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| | | 152 | | | 152 |
| | | 12.666666666666666 | | | 12.666666666666666 |
| − | | 369.69696969696974 | + | | 369.69696969696975 |
| | |- class="even" | | |- class="even" |
| | | Array2 | | | Array2 |
| Line 182: |
Line 133: |
| | | 5 | | | 5 |
| | | 654.0666666666668 | | | 654.0666666666668 |
| − | | 2.8081574239713784 | + | | 2.8081574239713785 |
| | | 0.06629115945265437 | | | 0.06629115945265437 |
| − | | 5.061984369714618 | + | | 5.064312767657053 |
| | |- class="even" | | |- class="even" |
| | | Columns: | | | Columns: |
| Line 192: |
Line 143: |
| | | 1.0883720930232565 | | | 1.0883720930232565 |
| | | 0.36437615127626016 | | | 0.36437615127626016 |
| − | | 9.332898584189282 | + | | 9.330229140735954 |
| | |- class="odd" | | |- class="odd" |
| | | Interaction: | | | Interaction: |
| Line 200: |
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| | | 1.6872987477638656 | | | 1.6872987477638656 |
| | | 0.2120282015971952 | | | 0.2120282015971952 |
| − | | 5.061984369714618 | + | | 5.0650509516310676 |
| | |- class="even" | | |- class="even" |
| | | Within: | | | Within: |
| Line 208: |
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| | |- class="odd" | | |- class="odd" |
| | | Total: | | | Total: |
| − | | 8283.833333333335 | + | | 8283.833333333336 |
| | | 23 | | | 23 |
| | |} | | |} |
| | | | |
| − | </div>
| + | == See Also == |
| − | ----
| + | |
| | + | *[[Manuals/calci/ANOVATWOFACTORWITHOUTREPLICATION | ANOVATWOFACTORWITHOUTREPLICATION]] |
| | + | *[[Manuals/calci/ANOVASINGLEFACTOR | ANOVASINGLEFACTOR]] |
| | + | |
| | + | == References == |
| | + | |
| | + | *[http://en.wikipedia.org/wiki/Analysis_of_variance ANOVA] |
| | + | *[http://en.wikipedia.org/wiki/Analysis_of_variance#ANOVA_for_multiple_factors Anova Multiple Factors] |