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Confidence intervals for two separate variables?

  1. May 16, 2013 #1
    Hi

    I have a certain experiment that I repeat 40 times and get the result:

    0.001 +/- 0.004.

    Now I've repeated the experiment using a different method (so it is essentially a new experiment) and I get a new value:

    -0.002 +/- 0.003

    Now, is it true to say there is no statistically significant difference between these two different methods? Even though they lie within each other's standard deviation, I think the fact that I've repeated the experiment 40 times should mean something- it makes me confident that method 2 gives a lower result. I don't know how to translate this confidence into statistical analysis though.

    The fact that the means are different is clearly not sufficient to convince anyone... how can I convince someone that method 2 gives a lower result? Let's say I even repeat the experiment another 40 times and get EXACTLY the same means and standard deviations. But I know with more certainty the means are different because I've done more experiments. How do I show this using maths though (without actually having to do the experiments?).

    Thanks
     
  2. jcsd
  3. May 16, 2013 #2

    DrDu

    User Avatar
    Science Advisor

  4. May 16, 2013 #3
    Perfect. Stats really should be compulsory for undergrad physicists!
     
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