p_nested_layout$t - cp_both_layout$t + p_both_layout$shp_both_layout$t - 1Error in p_both_layout$t $ operator is invalid for atomic vectors

This error occurs because you cannot use the $ operator on a numeric vector. It is generally used to access elements of a list or data frame by their name.

In this case, it seems that p_both_layout is not a list or data frame, but rather a numeric vector. Therefore, you cannot use the $ operator to access its elements.

To fix this error, you may need to check the type of the object p_both_layout and make sure it is a list or data frame. Alternatively, you may need to use a different method to access its elements, such as indexing with square brackets ([]).