The Problem of Estimation; a Seventeenth-Century Controversy And Its Bearing On Modern Statistical Questions, Especially Index-Numbers
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And the law of such combinations, transposed, has been called the " law of error." It is a pity it has been called so, because it really is a law of chances, and it is a law of error only in a different way. It is a law of chances, sub- jectively, belonging to chances, as resulting from the con- sideration of chances ; while it is a law of error only objec- tively, as governing errors, because these, when accidental and unbiassed, can be conceived as resembling even chances.
It is, too, a law o...f only one kind of errors, whereas we have seen that there are two kinds, and the other is not subject to this law. The law of the one kind of errors was originally worked out for astronomical observations, which in practice 46 THE PROBLEM OF ESTIMATION conform to the law of chances ; for as measurements they in the long run fall equally and equidistantly on both sides of their mode, and their small residual errors are more frequent than their large residual errors. The latter fact is not esseatial to the propriety of applying to them the arithmetic average ; but the former fact is.
What to read after The Problem of Estimation; a Seventeenth-Century Controversy And Its Bearing On Modern Statistical Questions, Especially Index-Numbers?
You can find similar books in the "Read Also" column, or choose other free books by Correa Moylan Walsh to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
And the law of such combinations, transposed, has been called the " law of error." It is a pity it has been called so, because it really is a law of chances, and it is a law of error only in a different way. It is a law of chances, sub- jectively, belonging to chances, as resulting from the con- sideration of chances ; while it is a law of error only objec- tively, as governing errors, because these, when accidental and unbiassed, can be conceived as resembling even chances.
It is, too, a law o...f only one kind of errors, whereas we have seen that there are two kinds, and the other is not subject to this law. The law of the one kind of errors was originally worked out for astronomical observations, which in practice 46 THE PROBLEM OF ESTIMATION conform to the law of chances ; for as measurements they in the long run fall equally and equidistantly on both sides of their mode, and their small residual errors are more frequent than their large residual errors. The latter fact is not esseatial to the propriety of applying to them the arithmetic average ; but the former fact is.
What to read after The Problem of Estimation; a Seventeenth-Century Controversy And Its Bearing On Modern Statistical Questions, Especially Index-Numbers?
You can find similar books in the "Read Also" column, or choose other free books by Correa Moylan Walsh to read onlineMoreLess
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