A critical evaluation of all the data on the level structures of 178Hf, 168Er, 162Dy and 164Dy with special emphasis on the (n,\gamma ) studies with average resonance capture (ARC) indicates the presence of a total of 4 states which are anomalous and may be chaotic (1 in 178Hf below 1800 keV, 1 in 162Dy below 2000 keV, and 2 in 164Dy below 2000 keV) imbedded among the normal quadrupole deformed rotational states