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Significant digits - a Quiz for our community

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  • Significant digits - a Quiz for our community

    Hi everyone,



    This is general question relevant to a lot of our research. It should
    be simple, but I don't recall the answer.



    How many digits should be used in reporting data?



    Here is an example. A biomechanist is trying to show a difference
    between Technique A and Technique B. He/she recruits 36 subjects and
    records each one of them performing both techniques, using equipment
    that measures each person to the nearest 0.1 unit. How many decimal
    places should be used in reporting the data? I can make a "common
    sense" determination, but is there some accepted procedure or guideline?



    Example data:



    TECHNIQUE A

    Subject 1: 13.3 units

    Subject 2: 35.0 units

    Subject 3: 22.2 units




    Subject 36: 18.4 units





    TECHNIQUE B

    Subject 1: 12.9 units

    Subject 2: 35.0 units

    Subject 3: 21.9 units




    Subject 36: 18.5 units





    Even though the mean within-subject difference is less than 0.1 units, a
    paired t-test reveals a statistically significant difference.

    Technique A mean: 25.33333 units

    Technique B mean: 25.36170 units

    Average difference : 0.02837 units

    Paired t-test p-value: 0.035



    How many decimal places would you use in reporting these mean values and
    difference in your paper? Why?



    Thanks in advance,

    - Glenn S. Fleisig, Ph.D.

    Glenn S. Fleisig, Ph.D., Smith & Nephew Chair of Research
    American Sports Medicine Institute
    833 St. Vincent's Drive, Suite 100
    Birmingham, AL 35205
    (email) glennf@asmi.org
    (tel) 205-918-2139
    www.asmi.org


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