There is a mixed effects e-mail list you might want to join for more in depth
discussion of these topics - you can subscribe here
https://stat.ethz.ch/mailman/listinfo/r-sig-mixed-models.
In general the format for crossed effects would be
lmer(y~f1+f2+(1|r1)+(1|r2)) where f1, f2 are fixed effec
Sounds distinctly like an assignment you've been set for which we wouldn't
help. All I'll say is crossed random effects can be dealt with effectively
in lmer. See that for more.
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