By Lancelot Hogben
ISBN-10: 0393063054
ISBN-13: 9780393063059
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Additional info for Statistcal Theory: The Relationship of Probability, Credibility and Error
Example text
In a full deck of 52 there are 52^ ways* in which the disposition of the cards may occur, this being the number of linear permutations of 52 objects taken 5 at a time without = replacement. Out of these 52 (5) 311,853,201 ways in which the cards might occur, the number of ways in which the disis position consistent with the bet is 5( 2 ) '4 (2) I2 {3) = 158,400, this being (vide infra) p. 41) the number of recognisably different linear permutations of 5 things taken from 52 when (a) we regard 4 of the 52 as identical members of class Q,and 12 as identical members of class P; (b) the sample consists of 2 mem: bers of Qand 3 members of P.
Irwin (p. 201) who opened the discussion said I think all : students of statistics should learn something about probability from a frequency point of view. When teaching students with mature minds who are yet new or almost new to the subject, I usually give an outline of the different theories of the subject, tell them that they will find the frequency theory the most useful in practice, and to suspend judgment on which theory they will had more opportunity of ultimately prefer as a basis until they have study.
We have defined probability with reference the word anywhere sequences we may encounter, Inasmuch all possible and replacing as to in It endorses the context has therefore a special meaning. t. the level from which we take a card, the level at which we replace it, or the level at which we cut the pack, in a sufficiently protracted this succession of games. It alternatively prescribe is irrelevant to : 47 make this explicit if we STATISTICAL THEORY a reshuffle of the pack of (i) or (ii) between taking from it an individual card and replacing it (b] a reshuffle of each of the 3 packs in (iii) and (iv) between (a) ; successive games.
Statistcal Theory: The Relationship of Probability, Credibility and Error by Lancelot Hogben
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