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Q: What are degrees of freedom use for in statistics?
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What are the difference between static degrees of freedom and dynamic degrees of freedom?

Mass and damping are associated with the motion of a dynamic system. Degrees-of-freedom with mass or damping are often called dynamic degrees-of-freedom; degrees-of-freedom with stiffness are called static degrees-of-freedom. It is possible (and often desirable) in models of complex systems to have fewer dynamic degrees-of-freedom than static degrees-of-freedom.


Why is it impossible to compute a T statistic for a sample that has only one score?

A T test is used to find the probability of a scenario given a specific average and the number of degrees of freedom. You are free to use as few degrees of freedom as you wish, but you must have at least 1 degree of freedom. The formula to find the degrees of freedom is "n-1" or the population sample size minus 1. The minus 1 is because of the fact that the first n is not a degree of freedom because it is not an independent data source from the original, as it is the original. Degrees of freedom are another way of saying, "Additional data sources after the first". A T test requires there be at least 1 degree of freedom, so there is no variability to test for.


If a related measures experiment and matched subject experiment both produce t statistics with degrees of freedom of 20 which experiment used more subjects?

The matched subject because the experiment involves pairs which halves the df.


Why there is no degrees of freedom in Z test?

so


Does statistics use math?

Statistics is a branch of mathematics.