If the F value in ANOVA produces a significantly high p value (aka "Sig." in SPSS)of 10 or more,then it is appropriate to proceed with an ad hoc test.

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If the p-value obtained from ANOVA is significantly high (i.e. greater than the level of significance set for the study), it suggests that there is no significant difference between the groups being compared. In such a case, there is no need to perform post-hoc tests, as they are conducted to explore significant differences between groups identified by ANOVA. Therefore, it is not appropriate to proceed with ad hoc tests when the F value in ANOVA produces a significantly high p value.

If the F Value in ANOVA Produces a Significantly High