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:
“Men are often so foolish as to boast and value themselves upon their passions, even those that are most vicious. But envy is a passion so full of cowardice and shame that no one every ever had the confidence to own it.”
—François, Duc De La Rochefoucauld (16131680)
“Unless the people can choose their leaders and rulers, and can revoke their choice at intervals long enough to test their measures by results, the government will be a tyranny exercised in the interests of whatever classes or castes or mobs or cliques have this choice.”
—George Bernard Shaw (18561950)
“Accountability in friendship is the equivalent of love without strategy.”
—Anita Brookner (b. 1938)
“By degrees we may come to know the primitive sense of the permanent objects of nature, so that the world shall be to us an open book, and every form significant of its hidden life and final cause.”
—Ralph Waldo Emerson (18031882)
“Ive never understood why people consider youth a time of freedom and joy. Its probably because they have forgotten their own.”
—Margaret Atwood (b. 1939)