Question

What can we conclude if the omnibus null hypothesis is rejected in a one-factor anova?

Answer 1

Answer:

Not all the means are equal.

Step-by-step explanation:

In an ANOVA table, a sum of squares for the independent variable divided by its respective degrees of freedom.

So if the omnibus null hypothesis is rejected it means that there is sufficient evidence to conclude that not all the means are equal.

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Answer 2

Conclude that all remedies are not created equal.

• One-way analysis of variance (ANOVA) is used to determine whether there are  statistically significant differences between the means of three or more independent (unrelated) groups.

• One-way ANOVA compares  means between  groups of interest and determines whether  those means are statistically significantly different from each other. Specifically, it tests the null hypothesis.

• At this point,  the one-way ANOVA is an omnibus test statistic and cannot tell  which particular groups were statistically significantly different from each other, only recognizing that there were at least two groups.

• In the ANOVA table, the sum of squares of the independent variables divided by their respective degrees of freedom. Therefore, if the omnibus null hypothesis is rejected, it means that there is sufficient evidence to conclude that all remedies are not created equal.

Learn more about hypothesis here

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