Economic essays

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Monograph

Identifikator:: 1753623200

URN:: urn:nbn:de:zbw-retromon-136107

Document type:: Monograph

Title:: Economic essays

Place of publication:: New York

Publisher:: Macmillan

Year of publication:: 1927

Scope:: viii, 368 S.; Ill., graph. Darst.

Digitisation:: 2021

Collection:: Economics Books

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Document type:: Monograph

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Title:: Les cooperatives dans les pays latins un probléme de géographie sociale / Charles Gide

Collection:: Economics Books

404 THEORY OF STATISTICS, 2. To 34= + 0-680, Ti3.04= +0°803, T14.03= + 0-397. To3.14= — 0433, To413= ——" 0553, Tgqe10= = 0°149. 010034 =917, 02.134 =49°2, Op 13=125, 04-103=105"4. xX; =53 + 0127 Xo+ 0-587 Xs + 0 ‘0345 X,. 3. The correlation of the pth order is 7/(1 +7). Hence if » be negative, the correlation of order #—2 cannot be numerically greater than unity and r cannot exceed (numerically) 1/(n — 1). 4, TE 719 5. Ti9.3= — 1; Ti3.9=7T931= +1. 6. T12.3=713.g=793.7= — 1. CHAPTER XIII. 1. Theo. M=6, 0=1782 : Actual ¥=6°116, o=1"732. 2. (a) Theo. M=2:5, ¢=1"118 : Actual M=2'48, c=1"14, (By, M=5, ‘g=1225. Y= 29] o=120. (eS), eM =313 Rr=11 3230: SNM = 3:47 So = 1-40. 3. Theo. M=50, ¢=5 : Actual M=50°11, ¢=5"23. 4. The standard deviation of the proportion is 000179, and the actual divergence is 54 times this, and therefore almost certainly significant. 5. The standard deviation of the number drawn is 32, and the actual difference from expectation 18, There is no significance. 6. p=1-02M, n=M/p : p=0'510, n=120 : p=0-454, n=110"4. 8. Standard deviation of simple sampling 230 per cent. The actual standard-deviation does not, therefore, seem to indicate any real variation, but only fluctuations of sampling. 9. Difference from expectation 75 : standard error 10:0. The difference might therefore occur frequently as a fluctuation of sampling. 10. The test can be applied either by the formule of Case II. or Case III. Case II. is taken as the simplest. (2) (4B)/(B)=69"1 per cent.: (4B)/(B)=80'0 per cent. Difference 109 per cent. (A)/N=71"1 per cent. and thence ,=12'9 per cent. The actual difference is less than this, and would frequently occur as a fluctuation of simple sampling. (0) (4B)/(B)=70°1 per cent. : (4B)/(B)=643 per cent. Difference 5:8 per cent. (4)/N=676 per cent., and thence e;,=38°40 per cent. The actual difference is 1°7 times this, and might, rather infrequently, occur as a fluctua- tion of simple sampling. CHAPTER XIV. Row. Ope Group of Rows. ape 1 31 5, 6, and 7 2:1 2 2:1 8,9, 10, and 11 16 3 17 12, 13, and 14 1-2 1 7 15 and upwards 11 op is given in units per 1000 births, as s and s,. 2. s,=7'02, and op=2'5 units. 3. ¢2=n.pq as if the chance of success were p in all cases (but the mean is n/2 not p.n). 4. Mean number of deaths per annum = ¢,*=680, a2=566,582, r=0°000029. 1.

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