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AN INTRODUCTION TO

STATISTICAL ANALYSIS

STATISTICAL ANALYSIS

BY

GEORGE GAILEY CHAMBERS, PH.D.

PROFESSOR OF MATHEMATICS IN THE

UNIVERSITY OF PENNSYLVANIA

F. S. CROFTS & CO.
NEW YORK

1925

COPYRIGHT, 1925

F. S. CROFTS & CO., INC.

THE PLIMPTON PRESS NORWOOD MASSACHUSETTS

PRINTED IN THE UNITED STATES OF

AMERICA

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THIS book is a presentation of the elements of statistical analysis with special applications to biological, anthropometrical and mental measurements. The symbols and processes of mathematics are used when, and to the extent that, they seem incidentally helpful in developing the statistical concepts. When the point is reached at which such symbols and processes are needed, they are then presented and developed.

It is the result of an effort to present a few of the most elementary statistical concepts in a manner comprehensible to first-year students in normal schools, schools of education and colleges. In this effort, however, to make these concepts comprehensible to first-year students, the author has tried to be especially careful not to build up concepts which would have to be discarded by those students who later carry forward either their statistical or mathematical study to a more advanced stage.

In manuscript form, the greater part of this presentation of the subject has been used in classes of first-year students in the University of Pennsylvania for four consecutive semesters, by four different teachers. The author has had the benefit of the experiences of his colleagues in revising the manuscript for publication. For their helpful and sympathetic criticisms, he now, in this public manner, most cordially thanks his colleagues, Professor Maurice J. Babb, Professor John R. Kline, and Dr. Joseph M. Thomas.

Also the author thanks Dean John H. Minnick, of the School of Education of the University of Pennsylvania, for his helpful criticisms of considerable portions of the manuscript, and Mr. Elmer O. Delancy, a recent graduate of the University of Pennsylvania, for his valuable suggestions.

However, we hasten to add that none of those just named should be held responsible for the content as now being published, because not all of their suggestions have been followed.

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