When conducting a one-way independent ANOVA with three levels on the independent

Question

When conducting a one-way independent ANOVA with three levels on the independent variable, an F-ratio that is large enough to be statistically significant tells us:

That one or more of the differences between means is statistically significant but not where the differences between groups lie.

That all of the differences between means are statistically significant.

That there is a significant three-way interaction.

That the model fitted to the data accounts for less variation than extraneous factors, but it doesn't tell us where the differences between groups lie.

That one or more of the differences between means is statistically significant but not where the differences between groups lie.

That all of the differences between means are statistically significant.

That there is a significant three-way interaction.

That the model fitted to the data accounts for less variation than extraneous factors, but it doesn't tell us where the differences between groups lie.

Explanation / Answer

Large F statistics in ANOVA tell us that there is a signficant difference between the populaiton means. But to find that which group has signficant difference we need to do post hoc analysis.

So correct option is

That one or more of the differences between means is statistically significant but not where the differences between groups lie.

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