Difference between revisions of "ANOVASINGLEFACTOR"

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<div style="font-size:25px">'''ANOVASINGLEFACTOR(Array, Alpha, GroupBy, NewTableFlag)'''</div><br/>
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<div style="font-size:25px">'''ANOVASINGLEFACTOR(Array, Alpha, GroupBy, NewTableFlag)'''</div>
*<math>Array</math> is an array of numbers or reference to cells containing array
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*'''<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'
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*'''<math>Alpha</math> represents a constant value between '0' and '1'
*<math>GroupBy</math> is a method to perform the analysis by columns or rows
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*'''<math>GroupBy</math> is a method to perform the analysis by columns or rows
*<math>NewTableFlag</math> decides if the output is to be displayed in the same worksheet or a new space cube.<br></br>
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*'''<math>NewTableFlag</math> decides if the output is to be displayed in the same worksheet or a new space cube.<br></br>
  
 
==='''DESCRIPTION'''===
 
==='''DESCRIPTION'''===
* ANOVASINGLEFACTOR() performs a simple analysis of variances between two data sets.
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* '''ANOVASINGLEFACTOR() performs a simple analysis of variances between two data sets.
* Analysis Of Variances (ANOVA) is a method of checking relationship between two or more data sets.
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* '''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.
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* '''Alpha should be in between '0' and '1'. Else, Calci displays #N/A error message.'''
* Analysis can be done by columns or rows. The choice should be entered in quotes (e.g. "COLUMNS" or "ROWS").
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* '''Analysis can be done by columns or rows. The choice should be entered in quotes (e.g. '''''"COLUMNS"''''' or '''''"ROWS"''''').
* <math>NewTableFlag</math> can be a logical value TRUE or FALSE. If omitted, Calci assumes it to be FALSE.
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* '''NewTableFlag can be a logical value '''''TRUE''''' or '''''FALSE'''''. If omitted, Calci assumes it to be FALSE.
* If <math>NewTableFlag</math> is TRUE, the result is displayed on new zspace sheet.<br></br>
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* '''If NewTableFlag is TRUE, the result is displayed on new zspace sheet.'''<br></br>
  
 
==='''EXAMPLE'''===
 
==='''EXAMPLE'''===
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| 31 || 31 || 26 || 20 || 14 || 9
 
| 31 || 31 || 26 || 20 || 14 || 9
 
|}
 
|}
'''=ANOVASINGLEFACTOR(A6:F6,0.95,"ROWS",true)'''
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'''= ANOVASINGLEFACTOR(A1:F6, 0.95, "ROWS", true)'''
  
  

Latest revision as of 14:01, 12 August 2020

ANOVASINGLEFACTOR(Array, Alpha, GroupBy, NewTableFlag)
  • is an array of numbers or reference to cells containing array
  • represents a constant value between '0' and '1'
  • is a method to perform the analysis by columns or rows
  • decides if the output is to be displayed in the same worksheet or a new space cube.

DESCRIPTION

  • ANOVASINGLEFACTOR() performs a simple analysis of variances between two data sets.
  • Analysis Of Variances (ANOVA) is a method of checking relationship between two or more data sets.
  • Alpha should be in between '0' and '1'. Else, Calci displays #N/A error message.
  • Analysis can be done by columns or rows. The choice should be entered in quotes (e.g. "COLUMNS" or "ROWS").
  • NewTableFlag can be a logical value TRUE or FALSE. If omitted, Calci assumes it to be FALSE.
  • If NewTableFlag is TRUE, the result is displayed on new zspace sheet.

EXAMPLE

Spreadsheet
A B C D E F
1 19 18 25 20 17 21
2 8 10 10 18 7 16
3 21 31 26 28 14 24
4 15 26 17 14 17 13
5 23 32 26 16 27 18
6 31 31 26 20 14 9

= ANOVASINGLEFACTOR(A1:F6, 0.95, "ROWS", true)


ANOVA: SINGLE FACTOR SUMMARY
GROUPS COUNT SUM AVERAGE VARIANCE
ROW1 6 120 20 8
VARIANCE 6 69 11.5 19.9
ROW3 6 144 24 35.6
ROW4 6 102 17 22
ROW5 6 142 23.666666666666668 35.46666666666667
ROW6 6 131 21.833333333333332 82.96666666666665


ANOVA
SOURCE OF VARIATION SUM OF SQUARES DEGREE OF FREEDOM MEAN OF SQUARES F PROBABILITY F CRITICAL
BETWEEN GROUPS: 680.3333333333331 5 136.06666666666663 4.003269042170643 0.006690023031923189 0.22244315626178107
WITHIN GROUPS: 1019.6666666666666 30 33.98888888888889
TOTAL: 1699.9999999999998 35



EXCEL RESULTS

Anova.JPG


COMPARISON WITH OTHER SOFTWARE

Conduct ANOVA for the data in the range B2:C16.

Anova1.JPG

SOLUTION
In z3:
Anovaz.JPG

In R:
Anovar.JPG

In Excel:
Anoex.JPG