Etasquared意思

"eta squared" (η²) is a statistical term used in the context of ANOVA (Analysis of Variance) to denote the proportion of variance explained by a particular factor or treatment. It is a measure of effect size, which helps to quantify the strength of the relationship or effect.

In ANOVA, the eta squared value ranges from 0 to 1, with higher values indicating a stronger effect. A value of 0 means that the factor does not explain any variance, while a value of 1 indicates that the factor explains all the variance in the outcome.

To calculate eta squared, you typically use the following formula:

η² = SS(factor) / (SS(factor) + SS(error))

where SS(factor) is the sum of squares for the factor of interest, and SS(error) is the residual sum of squares (the error term).

Effect size measures like eta squared are important because they provide additional information beyond the significance of the results. They help to put the size of the effect into context and can be used to compare the relative importance of different factors or treatments in the model.