It means what it says, there is no variance within the groups, i.e. all subjects have the same value. Maybe you mixed up dependent and independent variables? Whe you enter you grouping variable as dependent variable, all subjects have the same value, e.g. all subjects in group 1 have 1, in group 2 a 2 and so on.
Can you show your variable view in SPSS or your data structure? Which test did you choose in SPSS? The more detailed your information, the more likely it is that I can help.
In SPSS-Analysis-Compare Mean-Mean- and then entered DV and IVs in their respective section-then selected Linearity and ANOVA table (also tried separately but same results) in Option and then run.
Data is 5 Likert rang from 1-5, 370 Respondents. 4 IVs and 2 Dvs-also performed separately.