Fractional Degrees of Freedom in Statistics

The concept of observation and presentation of the count (reference) results in an interval form is considered. The transition to interval measurements is achieved by use of the total reduced number of measurements (number of degrees of freedom) as a sample parameter, which allows the use of non-integer (fractional) powers of freedom in the calculation of the estimates of static parameters and criteria values. The replacement of single measurements with interval measurements at their same quantities in all cases reduces the accuracy of statistical parameters estimates.