Yes there is much research on mutual funds.
On average the funds return approximately the appropriate index minus fees.
Some do better, some do a worse, the agreement is that there is no reliable way to predict which fund will perform better than the index.
Since it is unlikely that you will buy a mutual fund that will outperform the index, many advocate simply buying am index fund with a low fee. (eg ETF or TD efund).
I am not aware of ANY reputable research that demonstrates superior returns on front or back load funds over no-load funds.
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