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    Re: "Vernier acuity" of horizon IC tests
    From: Bill Morris
    Date: 2009 Jul 10, 03:28 -0700

    Nicolas
    
    I hesitate to disagree with anyone about statistics, regarding it a kind of 
    intellectual glue that gums up my brain.
    
    Loosely speaking, isn't the standard error of the mean at a given level an 
    indicator of the  probability that the _mean_ lies within a specified range? 
    We would expect the distribution of the means to be smaller than the 
    distribution of the samples.
    
    I took n to be 30, rather than 30-1, as 30 seemed to qualify as a "large 
    sample." The 1.96 gives us exactly 95%, versus your 2 SD and 95.45% (in case 
    anyone is confused about where the figures come from).
    
    You seem to be writing about the probability that a given _observation_ lies within a specified range.
    
    Bill Morris
    Pukenui
    New Zealand
    
    
    
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