Moratorien und andere Sonderregelungen des Zahlungsverkehrs im Auslande

An Introduction to the theory of statistics

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Monograph

Identifikator:: 1004499035

URN:: urn:nbn:de:zbw-retromon-18411

Document type:: Monograph

Title:: Moratorien und andere Sonderregelungen des Zahlungsverkehrs im Auslande

Edition:: Dritte vervollständigte Auflage

Place of publication:: Berlin

Publisher:: [Liebheit & Thiesen]

Year of publication:: 1914

Scope:: 1 Online-Ressource (verschiedene Seitenzählungen)

Digitisation:: 2017

Collection:: Economics Books

Usage license:: Get license information via the feedback formular.

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Document type:: Monograph

Structure type:: Chapter

Title:: England

Collection:: Economics Books

Co THEORY OF STATISTICS. Given only the above data, investigate whether there is probably a partial association between child and grandparent. If there were no partial association we would have— (4B)(BO) , (4B)(BO) AC) == HET Rar _ 2524 x 2231 1060 x 947 Ag ST =18450+ 513-2 = 2358-2. Actually (AC)=2480; there must, then, be partial association either in the B-universe, the S-universe, or both. In the absence of any reason to the contrary, it would be natural to suppose there is a partial association in both; 7. that there is a partial association with the grandparent whether the line of descent passes through “light-eyed ” or “not-light-eyed ” parents, but this could not be proved without a knowledge of the class-frequency (480). 10. The total possible number of associations to be derived from n attributes grows so rapidly with the value of » that the evalua- tion of them all for any case in which =» is greater than four becomes almost unmanageable. For three attributes there are 9 possible associations—three totals, three partials in positive universes, and three partials in negative universes. For four attributes, the number of possible associations rises to 64, for there are 6 pairs to be formed from four attributes, and we can find 9 associations for each pair (1 total, 4 partials with the universe specified by one attribute, and 4 partials with the universe specified by two). For five attributes the student will find that there are no less than 270, and for six attributes 1215 associations. As suggested by Examples i. and ii. above, however, it is not necessary in any actual case to investigate all the associations that are theoretically possible ; the nature of the problem indicates those that are required. In Example i., for instance, the total and partial associations between 4 and D were alone investigated ; the associations between A and B, B and D were not essential for answering the question that was asked. In Example ii., again, the three total associations and the partial association between 4 and C' were worked out, but the partial associations between 4 and B, B and C' were omitted as unnecessary. Practical considerations of this kind will always lessen the amount of necessary labour. nA

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