In a one-way ANOVA, what does it mean to reject the statement in the null hypothesis if three treatment groups are being compared?

allhvasstH

allhvasstH

Answered question

2021-03-05

In a one-way ANOVA, what does it mean to reject the statement in the null hypothesis if three treatment groups are being compared?

Answer & Explanation

BleabyinfibiaG

BleabyinfibiaG

Skilled2021-03-06Added 118 answers

The null hypothesis for one-way ANOVA: 
H0 : μ1=μ2=μ3 
H1 : μ1  μ2  μ3 
Where μ1, μ2, and μ3, are means of three different groups respectively. 
If the null hypothesis is rejected. It means that one of mean is different from another two means. 
Hence, 
Rejecting the statement in the null hypothesis means that there is sufficient evidence to conclude that the population mean is different than the other two means or that all three population means are different.

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