Manuals/calci/ANOVATWOFACTORWITHOUTREPLICATION

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Analysis Of Variances(ANOVA) is a method of checking if there is a relationship between two ror more data sets.

ANOVA:TwoFactor without replication performs an analysis of variances between two or more data sets. And used when we only have one sample from each data set.

ANOVATWOFACTORWITHOUTREPLICATION  returns #ERROR, if Alpha <0 or Alpha >1.


ANOVA : TWO - FACTOR WITHOUT REPLICATION


what is ANOVA?

Remarks

Examples

Description

Syntax

=ANOVATWOFACTORWITHOUTREPLICATION(Array, Alpha, NewTableFlag)

where,

Array - Input range should be one or two blocks.

Alpha - is the constant in between 0 and 1.

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


Lets see an example in (Column3 , Row1)

=ANOVATWOFACTORWITHOUTREPLICATION(R1C1:R12C2, 0.01, TRUE)

ANOVATWOFACTORWITHREPLICATION  returns the result in new sheet(8Space).

=ANOVATWOFACTORWITHOUTREPLICATION(R1C1:R12C2, -0.05, FALSE)

It returns the #ERROR(Alpha >1 or Alpha<0)


Column1 Column2 Column3 Column4
Row1 1 3 8Space 5
Row2 2 5 #ERROR
Row3 6 41
Row4 8 45
Row5 9 56
Row6 10 8
Row7 7 8 9
Row8 12 5 14 15
Row9 17 18 20
Row10 72 31 23 40
Row11 6 3
Row12 2 7

Anova: Two-Factor Without Replication
SUMMARY
Count Sum Average Variance
Row1 2 4 2 2
Row2 2 7 3.5 4.5
Row3 2 47 23.5 612.5
Row4 2 53 26.5 684.5
Row5 2 65 32.5 1104.5
Row6 2 18 9 2
Row7 2 15 7.5 0.5
Row8 2 17 8.5 24.5
Row9 2 35 17.5 0.5
Row10 2 103 51.5 840.5
Row11 2 9 4.5 4.5
Row12 2 9 4.5 12.5
Column1 12 152 12.666666666666666 369.69696969696974
Column2 12 230 19.166666666666668 360.3333333333333

ANOVA
Source of Variation Sum of Squares Degree of Freedom Mean of Squares F Probability F Critical
Rows: 4990.833333333334 11 453.71212121212124 1.6419915556286661 0.21186926809792436 4.460024010499913
Columns: 253.50000000000017 1 253.50000000000017 0.9174206283928278 0.4028687266699078 9.64473915180063
Error: 3039.500000000002 11 276.318181818182
Total: 8283.833333333335 23