ANOVASINGLEFACTOR

ANOVASINGLEFACTOR(Array, Alpha, GroupBy, NewTableFlag)

• $Array$ is an array of numbers or reference to cells containing array
• $Alpha$ represents a constant value between '0' and '1'
• $GroupBy$ is a method to perform the analysis by columns or rows
• $NewTableFlag$ 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(A6: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

Comparison with other software

Anova Single Factor

SOLUTION
In z3:

In R:

In Excel: