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Could you give me the the null and alternative hypotheses for one-way ANOVA in the form of text description?

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Candy Lau
2020年8月5日
Could you give me the the null and alternative hypotheses for one-way ANOVA in the form of text description?

I am still confused. Should we reject the null hypothesis as long as one pair of the means is different?

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Candy Lau
2023年5月4日

Thank you. I am now much clearer about the definitions of ANOVA null and alternative hypotheses.

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erickwong_1988@gmail.com
2020年8月5日

Yes. But be careful with the word “different.” To decide if you should reject or fail to reject the null hypothesis, you must refer to the p-value in the output of the ANOVA table. If the p-value is less than some significance level (e.g., 0.05), you can reject the null hypothesis and conclude that at least one pair of group means are different and not all group means are equal.

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