Experimental Designs

constant volume, the ratio C,/ Cy, viscosity, thermal con- ductivity, sonic properties and diffusion. Graphs of these properties are given. There is a...
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T h e Physical and Thermodynamic Properties of Helium. Technical Report D-9027. By JESSE T SIMMOXS, Engineering and Research Division, TVm. R . LT'hittaker Co., Ltd. LVm. R. Whittaker Co., Ltd., 915 Korth Citrus Avenue, Los Angeles 38, California. 1957. 79 pp. 23.5 X 28.5 cm. Price, 810.00. The following properties of helium, expressed in engineering units, are listed over the pressure range 14.7 t o 6,000 pounds per square inch absolute and from -440" t o f600" F.: density, specific volume, compressibility factor, entropy, enthalpy, specific heats at constant pressure a n d a t constant volume, the ratio C,/ Cy, viscosity, thermal conductivity, sonic properties and diffusion. Graphs of these properties are given. There is also included a liniited amount of d a t a on air.I In general the properties of helium given in earlier treatises Lire converted into engineering units and smoothed t o even values of the arguments. One would have greater confidence in the tables if he did not read t h e introduction in which some strange thermodynamic statements appear. ( I ) Taken from

"Tables

of Thermal Properties of

Gases" b y

J . Hilsenrath, C. W. Beckett, W. S. Benedict, I,. Fans, €1. J. Hoge, J . I'. Masi, R. L. Nuttall, Y. S. Touloukian and H. W. Woollep,

l-01.

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sound or defective. Sectiolls 4.1% and 4 2 7 a give the methods of analysis with d a t a of this type for completely randomized block designs. These sections fill a gap in the first edition, which gave methods of analysis onl>-for continuous data. Sections 4.61a t o 4.66a contain a discussion of the use of latin squares in adjusting for residual effects which m a y be present when the treatments are applied in sequence t o the same subject. Topics t h a t are presented more briefly arc sequential experimentation (section 2.23a), the testing of effects suggested by the d a t a (section 3.53), the problem of making several tests of significance in the same experiineiit (section 3.54a), Yates' automatic method of coinputing factorial effect totals (section 5.24a), additional st:iiid3rd error formulas for split-plot experiments (section 7 . 2 2 ) , the effects of errors in the weights on thc recox-cry of inter-block information (section l O . l 2 d , a n d the uw of balanced incomplete block dcqigiis i n tustc ;inti prcfcrence testing (section 11.1a). DEPARTMEST OF RADIATIOX l3101,uc~ LXIVERSITY OF ROCHESTER I,EE CRr'alI. ROCHESTER, N E WYORK

National Bureau of Standards Circular 564 (1955).

I~EPARTMEST OF CHEMISTRY TAMES NASSACHUSETTS INSTITUTE OF T E C H S O L ~ G Y CAMBRIDGE, ~~ASSACHUSETTS

A . BEATTIE Heterocyclic Compounds. Volume 5 . Five-membered Heterocycles Containing Two Hetero Atoms and their Benzo Derivatives. Edited by ROBERTC. ELDERFIELD, University of hlichigan. Jwhn LViley and Solis, IXIC., 440 _ _ _ _ . _ ~ Fourth Avenue, New York 16, Kew York. 1037. vi i 4 4 pp. 16 33.5 em. Price, $20.00. Experimental Designs. By L~ILLIAM G. COCHRAS,Profcssur of Biostatistics, The Johns Hopkins UniversitJ-, and This volume maintains the same high standards which GERTRUDE11. Cox, Director, Institute of Statistics, Lvcre set b?; the preceding volumes. -is t h e title indicates I'xiiversity of S o r t h Carolina. John TS'iley and Sons, volume 5 is devoted t o five-mernbercd heterocycles conIiic., 4-10 Fourth Avenue, S e w York 16, S. T. 1957. taining t\ro hetcro atoms and their benzo derivatives. siv 617 pp. 15.5 X 24 cm. Price, 510.25. ;\ccordingly, the eight chapters are devoted t o (1) 1,8Dioxolme and Derivatives (44 pages), (2) Pyrazoles a t l d This book is directed a t experimenters with a fair knowlRelated Compounds (116 pages), (3) Iiidazoles (31 pages), edge of statistical methodology through Analysis of T'arim c e techniques. if'hen the first edition appeared in 1950 ( 4 ) Imidazoles and Condensed Imidazoles (103 pages), (5j Oxazole and its Deriyatives (120 pages), (6) Benzoxazolcs it was b y far the best treatment of the statistical aspects of experimental design for such a n audience. This was still and Related Systems (33 pugesj, (7) Isosazoles (31 pages), and (8) Thiazoles ailti Benzothidzoies (238 pages). These true just prior t o the appearance of the edition reviewed chapters were contributed bh- Robert Elderfield and Frankhere and t h e case is reinforced by its appearance. lin Short, Thomas L . Jacobs, Robert Elderfield, Edgar S. The framework of the book remains the same. The first tliree chapters treat the relation of statistics t o experimen- Schipper and Allan K . Ih! , J . \\-. Cornforth (chaptcrs 3 ;tnd Sj, Roderick .I. Barnes, and j:iiiies 31. Spraguc a i ~ ( l tation and, briefly, the statistical notions and techniques -1.1%. Land, respectively. requisite for the balance of t h e book. T h e wealth of exA table of contcnts for each chapter greatly facilitates tlic perience and good sense which the authors bring t o the location of a particular topic and extensive literature citadiscussion is particularly evident in this section. I n the tions including patcnt literature are found throughout eacli remainder of t h e book the several different classes of exchapter. These citations are up-to-date and they include perimental designs are treated one-by-one. For each there references to some rather uncotmnon literature sources. is presented t h e computational technique, standard error Dr. Elderfield and his eo-workers are t o be coniplimciitcd ~ i i d missing value formulas, and numerical examples. for making the literature dealing wit11 Iieterocyclic comOf special value are the authors' general recommendations pounds more convenientl>- available t o organic chemists. about each of the designs and the comparisons of various undertaking of considerable magnitu