First, always use the latest version of PostgreSQL. Performance improvements are always coming, so you're probably wasting your time if you're tuning an old version. For example, PostgreSQL 9.2 significantly improves the speed of TRUNCATE and of course adds index-only scans. Even minor releases should always be followed; see the version policy.
Don'ts
Do NOT put a tablespace on a RAMdisk or other non-durable storage.
If you lose a tablespace the whole database may be damaged and hard to use without significant work. There's very little advantage to this compared to just using UNLOGGED tables and having lots of RAM for cache anyway.
If you truly want a ramdisk based system, initdb a whole new cluster on the ramdisk by initdbing a new PostgreSQL instance on the ramdisk, so you have a completely disposable PostgreSQL instance.
PostgreSQL server configuration
When testing, you can configure your server for non-durable but faster operation.
This is one of the only acceptable uses for the fsync=off setting in PostgreSQL. This setting pretty much tells PostgreSQL not to bother with ordered writes or any of that other nasty data-integrity-protection and crash-safety stuff, giving it permission to totally trash your data if you lose power or have an OS crash.
Needless to say, you should never enable fsync=off in production unless you're using Pg as a temporary database for data you can re-generate from elsewhere. If and only if you're doing to turn fsync off can also turn full_page_writes off, as it no longer does any good then. Beware that fsync=off and full_page_writes apply at the cluster level, so they affect all databases in your PostgreSQL instance.
For production use you can possibly use synchronous_commit=off and set a commit_delay, as you'll get many of the same benefits as fsync=off without the giant data corruption risk. You do have a small window of loss of recent data if you enable async commit - but that's it.
If you have the option of slightly altering the DDL, you can also use UNLOGGED tables in Pg 9.1+ to completely avoid WAL logging and gain a real speed boost at the cost of the tables getting erased if the server crashes. There is no configuration option to make all tables unlogged, it must be set during CREATE TABLE. In addition to being good for testing this is handy if you have tables full of generated or unimportant data in a database that otherwise contains stuff you need to be safe.
Check your logs and see if you're getting warnings about too many checkpoints. If you are, you should increase your checkpoint_segments. You may also want to tune your checkpoint_completion_target to smooth writes out.
Tune shared_buffers to fit your workload. This is OS-dependent, depends on what else is going on with your machine, and requires some trial and error. The defaults are extremely conservative. You may need to increase the OS's maximum shared memory limit if you increase shared_buffers on PostgreSQL 9.2 and below; 9.3 and above changed how they use shared memory to avoid that.
If you're using a just a couple of connections that do lots of work, increase work_mem to give them more RAM to play with for sorts etc. Beware that too high a work_mem setting can cause out-of-memory problems because it's per-sort not per-connection so one query can have many nested sorts. You only really have to increase work_mem if you can see sorts spilling to disk in EXPLAIN or logged with the log_temp_files setting (recommended), but a higher value may also let Pg pick smarter plans.
As said by another poster here it's wise to put the xlog and the main tables/indexes on separate HDDs if possible. Separate partitions is pretty pointless, you really want separate drives. This separation has much less benefit if you're running with fsync=off and almost none if you're using UNLOGGED tables.
Finally, tune your queries. Make sure that your random_page_cost and seq_page_cost reflect your system's performance, ensure your effective_cache_size is correct, etc. Use EXPLAIN (BUFFERS, ANALYZE) to examine individual query plans, and turn the auto_explain module on to report all slow queries. You can often improve query performance dramatically just by creating an appropriate index or tweaking the cost parameters.
AFAIK there's no way to set an entire database or cluster as UNLOGGED. It'd be interesting to be able to do so. Consider asking on the PostgreSQL mailing list.
Host OS tuning
There's some tuning you can do at the operating system level, too. The main thing you might want to do is convince the operating system not to flush writes to disk aggressively, since you really don't care when/if they make it to disk.
In Linux you can control this with the virtual memory subsystem's dirty_* settings, like dirty_writeback_centisecs.
The only issue with tuning writeback settings to be too slack is that a flush by some other program may cause all PostgreSQL's accumulated buffers to be flushed too, causing big stalls while everything blocks on writes. You may be able to alleviate this by running PostgreSQL on a different file system, but some flushes may be device-level or whole-host-level not filesystem-level, so you can't rely on that.
This tuning really requires playing around with the settings to see what works best for your workload.
On newer kernels, you may wish to ensure that vm.zone_reclaim_mode is set to zero, as it can cause severe performance issues with NUMA systems (most systems these days) due to interactions with how PostgreSQL manages shared_buffers.
Query and workload tuning
These are things that DO require code changes; they may not suit you. Some are things you might be able to apply.
If you're not batching work into larger transactions, start. Lots of small transactions are expensive, so you should batch stuff whenever it's possible and practical to do so. If you're using async commit this is less important, but still highly recommended.
Whenever possible use temporary tables. They don't generate WAL traffic, so they're lots faster for inserts and updates. Sometimes it's worth slurping a bunch of data into a temp table, manipulating it however you need to, then doing an INSERT INTO ... SELECT ... to copy it to the final table. Note that temporary tables are per-session; if your session ends or you lose your connection then the temp table goes away, and no other connection can see the contents of a session's temp table(s).
If you're using PostgreSQL 9.1 or newer you can use UNLOGGED tables for data you can afford to lose, like session state. These are visible across different sessions and preserved between connections. They get truncated if the server shuts down uncleanly so they can't be used for anything you can't re-create, but they're great for caches, materialized views, state tables, etc.
In general, don't DELETE FROM blah;. Use TRUNCATE TABLE blah; instead; it's a lot quicker when you're dumping all rows in a table. Truncate many tables in one TRUNCATE call if you can. There's a caveat if you're doing lots of TRUNCATES of small tables over and over again, though; see: Postgresql Truncation speed
If you don't have indexes on foreign keys, DELETEs involving the primary keys referenced by those foreign keys will be horribly slow. Make sure to create such indexes if you ever expect to DELETE from the referenced table(s). Indexes are not required for TRUNCATE.
Don't create indexes you don't need. Each index has a maintenance cost. Try to use a minimal set of indexes and let bitmap index scans combine them rather than maintaining too many huge, expensive multi-column indexes. Where indexes are required, try to populate the table first, then create indexes at the end.
Hardware
Having enough RAM to hold the entire database is a huge win if you can manage it.
If you don't have enough RAM, the faster storage you can get the better. Even a cheap SSD makes a massive difference over spinning rust. Don't trust cheap SSDs for production though, they're often not crashsafe and might eat your data.
Learning
Greg Smith's book, PostgreSQL 9.0 High Performance remains relevant despite referring to a somewhat older version. It should be a useful reference.
Join the PostgreSQL general mailing list and follow it.
Reading:
config.use_transactional_fixtures = true. I'm having the same issue as you with postgres being more than twice as slow as sqlite and bit confused on how to fix it. – Harebellfsync = offcut integration test time in less than half (including compiling).full_page_writes = offhad no measurable additional effect. A ramdisk (I just used tmpfs) brought varying results (sometimes worse than without for some reason). The ramdisk also get's the full speed gain without settingfsync = off. – Zimmermann