For a certain 2³ factorial design with the total number of observations = 32 (i.e., DF1otal = 31), p of the ANOVA table (F values only) is shown below. Source F A 6.78 В 4.23 4.15 АВ 3.80 АС 4.32 ВС 5.98 АВС 3.65 Error Total Which factors or/and interactions are significant? Please show your work. Information: Fo.05,1,24-4.26, Fo.05,2,20-3.49, Fo.0o5,2,23=3.42, Fo.05,1,20–4.35 (а) А, ВС (d) А, ВС, АС, В, С (е) А, ВС, АС, В, С, АВ (b). А. ВС, АС (с) А, ВС, АС, В (f) А, В, С

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For a certain 2³ factorial design with the total number of observations = 32 (i.e., DF1otal = 31), p
of the ANOVA table (F values only) is shown below.
Source
F
A
6.78
В
4.23
4.15
АВ
3.80
АС
4.32
ВС
5.98
АВС
3.65
Error
Total
Which factors or/and interactions are significant? Please show your work. Information:
Fo.05,1,24-4.26, Fo.05,2,20-3.49, Fo.0o5,2,23=3.42, Fo.05,1,20–4.35
(а) А, ВС
(d) А, ВС, АС, В, С (е) А, ВС, АС, В, С, АВ
(b). А. ВС, АС
(с) А, ВС, АС, В
(f) А, В, С
Transcribed Image Text:For a certain 2³ factorial design with the total number of observations = 32 (i.e., DF1otal = 31), p of the ANOVA table (F values only) is shown below. Source F A 6.78 В 4.23 4.15 АВ 3.80 АС 4.32 ВС 5.98 АВС 3.65 Error Total Which factors or/and interactions are significant? Please show your work. Information: Fo.05,1,24-4.26, Fo.05,2,20-3.49, Fo.0o5,2,23=3.42, Fo.05,1,20–4.35 (а) А, ВС (d) А, ВС, АС, В, С (е) А, ВС, АС, В, С, АВ (b). А. ВС, АС (с) А, ВС, АС, В (f) А, В, С
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Let us consider the following hypothesis:

H0:  The treatment effects is not significant.

H1: The treatment effects is significant.

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