Question

complete a between-subjects analysis of variance (ANOVA) by hand for the data:

ANOVA data:

A: 3, 1, 3, 4, 2

B: 4, 5, 4, 8, 7

C: 2, 3, 2, 4, 1

thank you so much. if you do not know how to do this please carry on! i rate :)

Answer 1

complete a between-subjects analysis of variance (ANOVA) by hand for the data:

ANOVA data:

A: 3, 1, 3, 4, 2

B: 4, 5, 4, 8, 7

C: 2, 3, 2, 4, 1

	A:	B:	C:
	3	4	2
	1	5	3
	3	4	2
	4	8	4
	2	7	1	Total
sum	13	28	12	53
sum of square	39	170	34	243

H₁: At least one of the mean is different from the others

n1=n2=n3=5, N=15

T1, T2 , T3 are group totals

=

=55.7333

SSE= SST-SSG    = 55.7333-32.1333 =23.6

Df for groups = 3-1=2

Df for total 15-1=14

Df for error = 14-2=12

ANOVA table
Source	SS	df	MS	F
group	32.1333	2	32.1333/2=16.0667	16.0667/1.9667 = 8.1695
Error	23.6000	12	23.6/12=1.9667
Total	55.7333	14

Let level of significance=0.05

Table value of F with (DF1=2, DF2=12 ) at 0.05 level =3.89

Calculated F=8.1695 > 3.89 the table value

The null hypothesis is rejected.

The data indicate there is a significant difference among the three groups