Der Wald und seine Arbeiter

An Introduction to the theory of statistics

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Monograph

Identifikator:: 1024751406

URN:: urn:nbn:de:zbw-retromon-52899

Document type:: Monograph

Title:: Der Wald und seine Arbeiter

Place of publication:: Berlin

Publisher:: Vorstand des Deutschen Landarbeiter-Verbandes

Year of publication:: 1920

Scope:: 1 Online-Ressource (71 Seiten)

Digitisation:: 2018

Collection:: Economics Books

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Chapter

Document type:: Monograph

Structure type:: Chapter

Title:: Die jetzigen Tariflöhne

Collection:: Economics Books

29 THEORY OF STATISTICS. which is similarly the equation ps Ton + Tins - Tony 2S =v ld = 72a) with the secondary suffixes 34 .... (n— 1) added throughout. 18. Equations (12) and (17) imply that certain limiting inequalities must hold between the correlation-coefficients in the ‘expression on the right in each case in order that real values (values between +1) may be obtained for the correlation- coefficient on the left. These inequalities correspond precisely with those ‘conditions of consistence” between class-frequencies with which we dealt in Chapter II., but we propose to treat them only briefly here. Writing (12) in its simplest form for 7, we must have 7},,<1 or (P19 = 715+ Tos)” Et Su] (1 = ri) (L — 73) that is, Tio + 1s + 13 — 2rigrigryy <1 (18) if the three 7”s are consistent with each other. If we take ry, 7; as known, this gives as limits for 7,, Tihs t J1- Th — 7” + riers. Similarly writing (17) in its simplest form for 7, in terms of Ti9.3 T1500 a0d 755, We must have Tas + 155 + 1351 + 2p a1 10 <1 . (19) and therefore, if 7,, and r,;, are given, 7,,; must lie between the limits ~ Tipglise WT- Ths — Tigo + TioaTis. 0 The following table gives the limits of the third coefficient in a few special cases, for the three coefficients of zero order and of the first order respectively :(— Value of Limits of 712 OT 712.3. | 713 OT 713.2. 723. 723.1. 0 - 0 Fl +1 +1 == +1 | = x1 Ti = TI +1 +4/0°5 +1/0°5 0 LIER) +705 FA/0'5 00-1 0, +1 “Hy

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