In a one-way ANOVA,if the ratio F =MSG / MSW is quite close to 1.0,there is little cause to doubt the null hypothesis of equality of population mean.

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If the F ratio (MSG/MSW) is close to 1.0, it indicates that the variance between groups (MSG) is similar to the variance within groups (MSW), suggesting that the group means are not significantly different, supporting the null hypothesis of equal population means.

In a One-Way ANOVA,if the Ratio F =MSG / MSW