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a superstructure has negative degree of freedom... ;0
None. A degree can be written as 1 degree - with not a decimal point in sight!
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There is no direct relationship between degrees of freedom and probability values.
Yes. The parameters of the t distribution are mean, variance and the degree of freedom. The degree of freedom is equal to n-1, where n is the sample size. As a rule of thumb, above a sample size of 100, the degrees of freedom will be insignificant and can be ignored, by using the normal distribution. Some textbooks state that above 30, the degrees of freedom can be ignored.