streaming replication vacuum

Might be discussed but not clear for the below query.

In async. streaming replication do I need to run VACUUM & ANALYZE on both master & slave.
Bec, while querying on master getting below result, but slave's system table is not updated.

select last_vacuum, last_autovacuum, last_analyze, last_autoanalyze from pg_stat_user_tables where relname like 'test';
last_vacuum | last_autovacuum | last_analyze | last_autoanalyze
----------------------------------+-----------------+----------------------------------+------------------
2011-12-30 11:14:02.802973+05:30 | | 2011-12-30 11:14:20.943012+05:30 |

Slave:

select last_vacuum, last_autovacuum, last_analyze, last_autoanalyze from pg_stat_user_tables where relname like 'test';
last_vacuum | last_autovacuum | last_analyze | last_autoanalyze
-------------+-----------------+--------------+------------------
| | |