# Manuals/calci/ANOVATWOFACTORWITHOUTREPLICATION

ANOVATWOFACTORWITHOUTREPLICATION (Array,Alpha,NewTableFlag)

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

## Description

ANOVATWOFACTORWITHOUTREPLICATION(Array, Alpha, 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.
• 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 ANOVATWOFACTORWITHOUTREPLICATION() 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

```=ANOVATWOFACTORWITHOUTREPLICATION(A1:B12, 0.01, TRUE) returns the result in new Zspace cube.
```
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 369.69696969696975
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 4.463512627383915
Columns: 253.50000000000017 1 253.50000000000017 0.9174206283928278 0.4028687266699078 9.6447311508211713
Error: 3039.500000000002 11 276.318181818182
Total: 8283.833333333336 23

ANOVA