Once that is understood, you will need to look up the data structures sent over the network, especially blocks, transactions, accounts and storage. Accounts refer to both externally owned and contract accounts, the latter with contract code. Storage refers to contract storage.
Back to the point of data analysis
You might be better off building a traditional NoSQL or SQL database if you want to have quick lookups about any transactions done by an account or contract. What the chaindata is optimised for is validating transactions and maintaining a valid state, and not so for historical lookups.
Best Answer
Hosted Main Chain Explorers:
https://ethtools.com/mainnet/chain
Can explore:
https://www.etherchain.org
Can explore:
https://live.ether.camp
Can explore:
http://etherscan.io
Can explore:
Hosted Testnet (Ropsten) Explorers:
https://ethtools.com/ropsten/chainoffline (2010/01/26)Hosted Testnet (Rinkeby) Explorers:
PoA testnet started by the Ethereum team, uses Clique PoA consensus protocol, supported by geth only
Hosted Testnet (Kovan) Explorers:
PoA testnet started by the Parity team, supported by parity only
Open source projects:
Outdated / defunct explorers: