help with two layers of factors

df <- read.table(textConnection('Experiment_id Treament_type Value

I have a data frame that looks something like...

Column 1 is an experiment_id, Column 2 is the type of treatment  
("control",
"full treatment", or "partial treatment"), and Column 3 is a value.

Experiment_id Treament_type Value
12345    "control"    3
12345    "full treatment"    4
12345    "full treatment"    5
12345    "partial treatment"    4
10000    "control"    1

What I want to do is this:
For each experiment_id, compute the mean "control" value, the mean  
"full
treatment" value, and the mean "partial treatment" value.
Is there an easy way to do this?

(Also, for each experiment_id, I then want to find
1) "mean full treatment value" - "mean control value"
2) "mean partial treatment value" - "mean control value".)

Thanks!
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