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    Re: Median versus Mean Averaging
    From: Bill Lionheart
    Date: 2019 Oct 28, 09:00 +0000

    Before probing this a bit further has anyone done a literature survey
    on the distribution of errors in aeronautical sextant readings?
    
    At risk of stating the obvious for a random variable with a symmetric
    probability distribution the mean and mode coincide. Of course there
    is very much more to this question, starting that this is a sample
    from the distribution, but understanding the sources of the errors and
    their distribution is the first thing to do. I imaging someone did a
    study with aviators taking lots of sights from a known position!
    
    I looked for references when writing my paper with Moses and
    Kimberling  in the JoN (http:/dx.doi.org/10.1017/S0373463319000675)
    and found this
    
    Peterson, B.C. (1952). Some observations of refraction at low
    altitudes and of astronomical position-line accuracy.
    The Journal of Navigation, 5(1), 31–38.
    (http://dx.doi.org/10.1017/S0373463300045033
    
    Also
    Shufeldt, H. (1962). Precision Celestial Navigation Experiments.
    Journal of Navigation, 15(3), 301-324.
    http://dx.doi.org/10.1017/S0373463300042703
    and
    Gordon, R. (1964). The Attainment of Precision in Celestial
    Navigation. Journal of Navigation, 17(2), 125-147.
    http://dx.doi.org/10.1017/S0373463300048505
    (both referring to Peterson)
     I expect NavListers will know other studies, especially for
    aeronautical bubble sextants?
    
    Bill
    
    
    On Mon, 28 Oct 2019 at 02:04, Bill Morris  wrote:
    >
    > I'm not a mathematician and have an uncertain grasp of statistics having 
    once thought them to be a form of contact adhesive, but can say with the 
    conviction of the possibly ill-informed that taking the median ensures that 
    less weight is given to outliers.
    >
    > And, mathematicians, how does continuously integrating as in the SOLD and 
    Hughes Marine Bubble sextant, compare with averaging sixty observations two 
    seconds apart?
    >
    > Bill Morris
    >
    > Pukenui
    >
    > New Zealand
    >
    > View and reply to this message
    

       
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