Trying to find significant factors in experimental results

Hi,

I've asked a 100 subjects to assess a quantity. For simplicity,
assume I've asked them to estimate the length of a piece of wood.
I've also asked each subject a number of questions (sex, age, whether
they're short sighted or long sighted, if they were glasses, contact
lenses or nothing).

My hypothesis is that the results are independant of all question
answers.

How can I prove this? As a first attempt, I've partitioned the
subjects into every possible partition, based on the question answers,
where I've still got a minimum of ten subjects in the smallest
population. I then ran ANOVA for the two formed populations, and
repeated for every possible partition.

This strikes me as being a bit clumsy, but I'm not sure how else I can
do this. My reading of Factorial ANOVA suggests that every population
needs to be of the same size, and so this isn't possible with my data.

Can anyone point me in the direction of a technique that could be used
to analyse my data?

Thanks,


Rob
.

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