Manuals/calci/ANOVATWOFACTORWITHREPLICATION

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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 :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.

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

It returns the #ERROR, when length of Array != length of NumberofSample.


ANOVA : TWO - FACTOR WITH REPLICATION


what is ANOVA?

Remarks

Examples

Description

Syntax

=ANOVATWOFACTORWITHREPLICATION(Array, NumberofSample, Alpha, NewTableFlag)

where,

Array - Input range should be one or two blocks.

Alpha - is the constant in between 0 and 1.

NumberofSample - Input range should be one blocks.

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)

=ANOVATWOFACTORWITHREPLICATION(R1C1:R12C2, 2, 0.01, TRUE)

ANOVATWOFACTORWITHREPLICATION  returns the result in new sheet(13Space).

=ANOVATWOFACTORWITHREPLICATION(R1C1:R12C2 , 2,-0.05, FALSE)

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


Column1 Column2 Column3 Column4
Row1 1 3 13Space 5
Row2 2 5 #ERROR
Row3 6 41
Row4 8 45
Row5 9 56
Row6 10 8
Row7 7 8 9 128
Row8 12 5 14 15
Row9 17 18 10000 20
Row10 72 31 23 40
Row11 6 3 1.619775 0.525322
Row12 2 7

Anova: Two-Factor With Replication
SUMMARY
Groups Count Sum Average Variance
Array1 12 152 12.666666666666666 369.69696969696974
Array2 12 230 19.166666666666668 360.3333333333333

ANOVA
Source of Variation Sum of Squares Degree of Freedom Mean Square F-Value Probability F Critical
Sample: 3270.333333333334 5 654.0666666666668 2.8081574239713784 0.06629115945265437 5.061984369714618
Columns: 253.50000000000017 1 253.50000000000017 1.0883720930232565 0.36437615127626016 9.332898584189282
Interaction: 1965.0000000000018 5 393.00000000000034 1.6872987477638656 0.2120282015971952 5.061984369714618
Within: 2795 12 232.91666666666666
Total: 8283.833333333335 23