Confidence Intervals and Equivalent Degrees of Freedom
Statistical estimators will calculate an estimated value on the sample series used. The estimates may deviate from the true value and the range of values which for some probability will contain the true value is referred to as the confidence interval. The confidence interval depends on the number of observations in the sample series, the dominant noise type, and the estimator being used. The width is also dependent on the statistical certainty for which the confidence interval values forms a bounded range, thus the statistical certainty that the true value is within that range of values. For variable-τ estimators, the τ0 multiple n is also a variable.
Read more about this topic: Allan Variance
Famous quotes containing the words confidence, intervals, equivalent, degrees and/or freedom:
“My profession brought me in contact with various minds. Earnest, serious discussion on the condition of woman enlivened my business room; failures of banks, no dividends from railroads, defalcations of all kinds, public and private, widows and orphans and unmarried women beggared by the dishonesty, or the mismanagement of men, were fruitful sources of conversation; confidence in man as a protector was evidently losing ground, and women were beginning to see that they must protect themselves.”
—Harriot K. Hunt (1805–1875)
“What is most striking in the Maine wilderness is the continuousness of the forest, with fewer open intervals or glades than you had imagined. Except the few burnt lands, the narrow intervals on the rivers, the bare tops of the high mountains, and the lakes and streams, the forest is uninterrupted.”
—Henry David Thoreau (1817–1862)
“The reality is that zero defects in products plus zero pollution plus zero risk on the job is equivalent to maximum growth of government plus zero economic growth plus runaway inflation.”
—Dixie Lee Ray (b. 1924)
“The political truths declared in that solemn manner acquire by degrees the character of fundamental maxims of free Government, and as they become incorporated with national sentiment, counteract the impulses of interest and passion.”
—James Madison (1751–1836)
“If parents award freedom regardless of whether their children have demonstrated an ability to handle it, children never learn to see a clear link between responsible behavior and adult privileges.”
—Melinda M. Marshall (20th century)