Step 1: Lanthanide contraction.
Across lanthanide series, atomic/ionic radius decreases due to poor shielding of \(4f\) electrons.
This is called lanthanide contraction.
Step 2: Effect on basicity.
As ionic size decreases, polarizing power increases.
So \(Ln^{3+}\) ions attract \(OH^-\) more strongly and form stronger \(Ln-O\) bonds.
Thus hydroxides become less ionic and less basic.
Step 3: Hence basicity decreases.
Final Answer:
\[
\boxed{\text{decreases}}
\]