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In: Statistics and Probability

A researcher tests whether 4 treatments for depression are different, and gets a significant value for...

A researcher tests whether 4 treatments for depression are different, and gets a significant value for F. What can the researcher conclude about differences between groups? What can the researcher not conclude about differences between groups? 


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A researcher tests whether 4 treatments for depression are different, and gets a significant value for F. What can the researcher conclude about differences between groups? What can the researcher not conclude about differences between groups?

Solution:

Null Hypothesis(H0) : there is not significant difference between 4 (treatments for depression) groups. All the four group means are same .

Alternative Hypothesis(H1) : there is significant difference between 4 (treatments for depression) groups. Atleast two group means are significantly different.

If researcher gets a significant value for F .

It means Calculated value of F is greater than Critical value of F.

So , researcher can reject the Null Hypothesis (H0) that there is not significant difference between 4 (treatments for depression) groups.

And researcher conclude that there is significant difference between 4 (treatments for depression) groups.

Researcher cannot conclude that there is not significant difference between 4 (treatments for depression) groups.


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