Given what we know, we can confirm that the best type of study to determine if daily reading with a parent can increase the speed at which a child learns to read independently is an experimental study.
How do we perform an experimental study?
First, one must design an experiment, in this case, it can be to allow the child to read alone for a week, then measure reading speed. Then repeat this while reading with a parent and measure the speed again. After 2 weeks, compare the results.
Therefore, with an experimental study, one can test the reading speed of the child and determine if it increases when reading with a parent.
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