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What is another way of denoting 'between' and 'within' in an ANOVA table?

a. Systematic, Error
b. Variance, Deviance
c. Treatment, Residual
d. Main effects, Interactions

User Genaro
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1 Answer

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Final answer:

The terms used to denote 'between' and 'within' in an ANOVA table are 'Treatment' and 'Residual', respectively. 'Treatment' refers to the variance between groups due to different treatments, while 'Residual' refers to the variance within each group not accounted for by the treatments.

Step-by-step explanation:

You asked about the terms used to denote 'between' and 'within' in an ANOVA table. In the context of ANOVA, 'between' refers to the variability in the data that is due to differences among the group means. This is often represented in the ANOVA table as SS(Factor) or SS(Between) and is related to the impact of the treatment or conditions being compared. The correct term for this concept is 'Treatment', which signifies the systematic variance due to different treatments or groups in the study.

On the other hand, 'within' signifies the variability in the data that is due to differences inside each group, which might be because of random error or individual differences not accounted for by the treatment. In the table, this is represented as SS(Error) or SS(Within) and corresponds to the term 'Residual', referring to the error variance that is unrelated to the treatment effects.

Therefore, the correct answer to your question is c. Treatment, Residual, as these two terms describe the variability between and within the groups, respectively.

User Heaphach
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