Posted by mjh
on 11/6/2009, 11:39 am, in reply to "Re: Hip Dysplasia"
Hi Gary,
Dave has provided everyone with a lot of qualatative data on the hip scores and temperaments of his line of dogs. I can personally attest to his frankness and honesty with me PRIOR, during, and after I purchased my dog.
If your trying to say that there are no guarantees in life, you will not get too many arguments. Do you agree with Dave's statement that the reported number of HD in dogs as reported to OFA and Penn HIp are that high. The key word in the last sentence is reported as many are not.
As the person who asked the question, Can you please tell us the standard deviation of your dog's hip scores compared to the breed average?
The standard deviation of a probability distribution is defined as the square root of the variance ,
(1)
(2)
where is the mean, is the second raw moment, and denotes an expectation value. The variance is therefore equal to the second central moment (i.e., moment about the mean),
(3)
The square root of the sample variance of a set of values is the sample standard deviation
(4)
The sample standard deviation distribution is a slightly complicated, though well-studied and well-understood, function.
However, consistent with widespread inconsistent and ambiguous terminology, the square root of the bias-corrected variance is sometimes also known as the standard deviation,
(5)
The standard deviation of a list of data is implemented as StandardDeviation[list].
Physical scientists often use the term root-mean-square as a synonym for standard deviation when they refer to the square root of the mean squared deviation of a quantity from a given baseline.
The standard deviation arises naturally in mathematical statistics through its definition in terms of the second central moment. However, a more natural but much less frequently encountered measure of average deviation from the mean that is used in descriptive statistics is the so-called mean deviation.
The variate value producing a confidence interval CI is often denoted , and
(6)
The following table lists the confidence intervals corresponding to the first few multiples of the standard deviation.
range CI
0.6826895
0.9544997
0.9973002
0.9999366
0.9999994
To find the standard deviation range corresponding to a given confidence interval, solve (5) for , giving
(7)
CI range
0.800
0.900
0.950
0.990
0.995
0.999
Temperaments are difficult to measure as their many variables and "beauty is in the eyes of the beholder." This is when qualatative data becomes necessary. I could not be more thrilled with my dog.
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