By John H Jellett

ISBN-10: 1418183598

ISBN-13: 9781418183592

This quantity is made out of electronic photos created throughout the college of Michigan college Library's protection reformatting software.

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**Extra info for An elementary treatise on calculus of variations (1850)**

**Example text**

7) shows 2 2 2 (Xl - χ) + (x 2 Χ) Λ V ( X - 1 - x) + n (Xn - x) = 0. Hence, any deviation equals the negative sum of the remaining η — 1 deviations; for example, x n - χ = - [ ( χ ι — χ) Η 1- ( x „ _ i - x)]. 18 DESCRIPTIVE STATISTICS In general, with η observations, one of the sample deviations can be expressed by the other η — 1 sample deviations. 9) that shows each observation making its contribution to the sum, it is understood that one of these deviations can be written in terms of the remaining η — 1 deviations.

1. 1 using Sturges's rule. 09. 94. The number of classes is therefore 8. 1, we have apparently used too few intervals (assuming we should follow Sturges's rule rigorously). Once the value of Κ has been determined, the width of each class interval would be the range divided by K. This division would yield Κ intervals of equal width. 1, the minimum and maximum ages of onset that were observed in this study were 12 and 68, respectively. If one applied the result of Sturges's rule and used equal-sized class intervals, then the width of each interval should be (68 — 12) +- 8, or 7 years.

7. , and W. Cochran. 1967. Statistical Methods, 6th ed. Ames: Iowa State University Press. 8. Torrie. 1960. Principles and Procedures of Statistics. New York: McGraw-Hill. Statistical Methods for the Analysis of Biomédical Data, Second Edition by Robert F. Woolson and William R. Clarke Copyright © 2002 John Wiley & Sons. Inc. 1 Statistics INTRODUCTION Although each data point is valuable in an experiment or an epidemiologic study, the investigator generally wants to present all of the data in summary form.

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