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I. Professor Aurel von Török's attack on the Arithmetical Mean

I. Professor Aurel von Török's attack on the Arithmetical Mean I. Professor Aurel von Torok's attack on the Arithmetical Mean. By KARL PEARSON, F.R.S. A very voluminous craniological memoir has recently been issued by Professor Aurel v. TOrflk assisted by Herr Gabriel v. Laazld. It is entitled : Ueber das gegenseitige Vcrhalten der klemsten und grostten Stirnbreite so vie der hUintten wid griissten HirtiscJrfidelbrcite bei Variationen der menschlichen Schiidelform. " Zeitschrift filr Morphologie und Anthropologie," Band iv. S. 500—88. This memoir consists of two luwta, first a vigorous criticism of the use of the arithmetic mean in craniology, and secondly an investigation of the correlation which exists between certain cranial breadths. The data with which the authors deal are very ample, consisting of 2000 skulls " aus alteren und jiingeren FriedhOfen Ungarns." Presumably the crania were adult and of one sei. This first note deals only with Professor v. Torok's attack on the use of the arithmetic mean. Professor v. Torok's attack is of the following character. He says that under the expression "type" can only be understood what is characteristic of the totality of any class of things, something which enables us at once to distinguish them from other things: "So kano...die Bestimmung eines Typus in gar http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Biometrika Oxford University Press

I. Professor Aurel von Török's attack on the Arithmetical Mean

Abstract

I. Professor Aurel von Torok's attack on the Arithmetical Mean. By KARL PEARSON, F.R.S. A very voluminous craniological memoir has recently been issued by Professor Aurel v. TOrflk assisted by Herr Gabriel v. Laazld. It is entitled : Ueber das gegenseitige Vcrhalten der klemsten und grostten Stirnbreite so vie der hUintten wid griissten HirtiscJrfidelbrcite bei Variationen der menschlichen Schiidelform. " Zeitschrift filr Morphologie und Anthropologie," Band iv. S. 500—88. This memoir consists of two luwta, first a vigorous criticism of the use of the arithmetic mean in craniology, and secondly an investigation of the correlation which exists between certain cranial breadths. The data with which the authors deal are very ample, consisting of 2000 skulls " aus alteren und jiingeren FriedhOfen Ungarns." Presumably the crania were adult and of one sei. This first note deals only with Professor v. Torok's attack on the use of the arithmetic mean. Professor v. Torok's attack is of the following character. He says that under the expression "type" can only be understood what is characteristic of the totality of any class of things, something which enables us at once to distinguish them from other things: "So kano...die Bestimmung eines Typus in gar
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