# Manuals/calci/ANOVATWOFACTORWITHREPLICATION

ANOVATWOFACTORWITHREPLICATION (Array,Alpha,NumberofSamplesPerRow,NewTableFlag)

• where, is an array of numbers or reference to cells containing array
• represents a constant value between '0' and '1'
• represents the number of samples in an array
• that decides to display the output in the same worksheet or a new space cube.
• ANOVATWOFACTORWITHREPLICATION(), performs an analysis of variances between more more data sets.This should be used when you have more than one sample from each data set.

## Description

ANOVATWOFACTORWITHREPLICATION(Array, Alpha, NumberOfSamples, NewTableFlag)

• Analysis Of Variances(ANOVA) is a method of checking relationship between two or more data sets.
• should be in between '0' and '1'. Else Calci displays #N/A error message.
• Data in an array can be divided in one or more groups. That is represented by .
• can be a logical value TRUE or FALSE. If omitted, Calci assumes it to be FALSE.
• If is TRUE, the result is displayed on new zspace sheet.

## Examples

Consider the following table with Columns A and B as array inputs for ANOVATWOFACTORWITHREPLICATION() function.

 1 3 2 5 6 41 8 45 9 56 10 8 7 8 12 5 17 18 72 31 6 3 2 7

```=ANOVATWOFACTORWITHREPLICATION(A1:B12, 0.01, 2, TRUE) returns the result in new Zspace cube.
```
Anova: Two-Factor With Replication
SUMMARY
Groups Count Sum Average Variance
Array1 12 152 12.666666666666666 369.69696969696975
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 2.8081574239713785 0.06629115945265437 5.064312767657053
Columns: 253.50000000000017 1 253.50000000000017 1.0883720930232565 0.36437615127626016 9.330229140735954
Interaction: 1965.0000000000018 5 393.00000000000034 1.6872987477638656 0.2120282015971952 5.0650509516310676
Within: 2795 12 232.91666666666666
Total: 8283.833333333336 23

ANOVA