# Interpreting results of an ANOVA with R-sq lower then 70

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• #53657

Hello everybody,

How reliable is the outcome of an Anova when the R-sq is <70.
Can you use the p-value for evaluating the Ho.

grtz

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#191003 Robert Butler
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Your questions are such that without more detail I don’t think anyone will be able to offer much of anything.

If we accept your questions at face value and interpret them as asked the short answers are as follows:

Q: “How reliable is the outcome of an Anova when the R-sq is <70." (?)

A: Reliability has nothing to do with ANOVA or Rsquare. ANOVA provides the answer to the question: Is at least one mean in a group of tested means significantly different from the rest? If the result of an ANOVA meets the criteria for significant difference (as expressed by a prechosen alpha level) then one can say that at least one of the means in the group of means under consideration is significantly different from the rest.

Q: “Can you use the p-value for evaluating the Ho.” (?)

A: The usual practic with respect to a discussion of differences is to set up a null hypothesis (H0) and an alternative hypothesis (H1). The decision to accept or reject the validity of either one is usually based on the outcome of the level of significance of some prechosen statistical test. If the level of significance is exceeded then one usually rejects H0 and accepts the alternative H1. Thus the p-value acts as a decision point with respect to acceptance or rejection not evaluation.

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