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The application of mathematical statistics to chemical analysis
SHORT COMMUNICATIOSS
403
tnercially available qaminoantipyrine. Preliminary experiments demonstrated that 1% q-aminoantipyrine in x00/~ sodium carbonate forms colored compounds with catechols on paper chromatograms. A subsequent overspray with x0/o ammonium persulfate or 1% potassium ferricyanide produces colors with other phenols. T. A. LARUE E. Ii. BLAKLEY
Prairie Regional Laboratory, Natioxat Research Council. Saskatoon, Saskatchewa?L (Canada)
(I
January 7th, xgG4)
Book Reviews The A@tication of Mathematical Statistics to Clzcntical A*zalysis, by V, V, NALIIVOV, Translated by PRASEX JIT BASU, English translation editor : M. WxLr_xAnrs, Pcr6amon Press, Oxford-London-Paris-Frankfurt, 1963, ix -t_ zg4 pp., price 84 s. ~~~thern~tical statistics becomes more and more important for analrticaI chemists, and therefore the publication of the present book must be welcomed. After a short “Publisher’s Note” and a Preface, cbaptcr I deals with the problems of mathematical statistics in gcncral and especially from the view of analytical chemists. The next chapter. entitled “Classification of errors of chernicnl analysis” is of an introductory nature, but chapter XII, presentirq the problems of random variables, gives a detailed discussion of the matter. Although distribution functions are mentioned here already, separate chapters deal with the most important ones, namely normal (chapter IV), Poisson and binomial distributions (chapter V). The next chapter has the title “Estimation of results of chemical analysis” and contains mainly comparison tests between results, means and variances, including the t and F functions. A short discussion of the Tschebyschcff inequality and its use is added here, A separate chapter deals with analysis of variance, indicatiw the growing importance of this matter. Statistics of linear relations totqther with regression analysis and correlation calculus are described relatively briefly, while regression analysis in the case of nonlinear correlations is omitted completely. The last chapter is perhaps the best one of the book and presents some worki% methods connected with the statistical design of experiments. Research workers will profit particularly from this part of the book. The bibliography is presented in a valuable manner; full titles of textbooks and original papers are given, and short abstracts (or notes) are added to each title. The 172 Rnnl. C&m. Acfa, 31 (xgC4) 403-404
404
BOOK REVIEWS
references cover the field in which analytical chemists would be interested, although it is not quite clear why some of them have no separate numbers. There is also an ap~>cnc?ix containing tabulated values of some important functions, and a subject in&x. The mathematical standard of the book is relatively high; this allows a more exact treatment of the matter than is customary. It must be pointed out that from the very beginning of the discussions, numerical calculations are presented based on examples familiar to analytical chemists; this makes the problems easier to understand for the reader. The examples cover various ck&cal and instrumental methods, with regard to both error calculation and experimental. design, Translation and translation editing can be difficult, but these, together with the layout of the book, arc of a high standard. This new book can be rccommenciccl to all annlytical chemists working in industry and rcsenrch. c, Sv@,Ir.~\ (Budaj~cst)
wide application of infrared methods to qualitative and quantitative analysis is largely dependent on the ready availability of clata on the frequencies and intensities of absorption bands. This book collects data for characteristic group frequencies in a convcnicnt form. After a series of correlation charts there follow sections, arranged alphabetically, dealing with each functional group in turn; some sections are supplemented by a list of rcfcrences of variable value as a key to further informati~)n. Tkc brevity of the treatment cxcludcs from the main text any discussion of factors likely to interfere with the correct assignment of bands and it is unfortunate in this respect that tltc cautionary comments in the I~troductiol~ ccmnot be dis~)~ayed more prontincntly, As an adjunct to Bellamy’s bible this book performs a useful function.
The
403
tnercially available qaminoantipyrine. Preliminary experiments demonstrated that 1% q-aminoantipyrine in x00/~ sodium carbonate forms colored compounds with catechols on paper chromatograms. A subsequent overspray with x0/o ammonium persulfate or 1% potassium ferricyanide produces colors with other phenols. T. A. LARUE E. Ii. BLAKLEY
Prairie Regional Laboratory, Natioxat Research Council. Saskatoon, Saskatchewa?L (Canada)
(I
January 7th, xgG4)
Book Reviews The A@tication of Mathematical Statistics to Clzcntical A*zalysis, by V, V, NALIIVOV, Translated by PRASEX JIT BASU, English translation editor : M. WxLr_xAnrs, Pcr6amon Press, Oxford-London-Paris-Frankfurt, 1963, ix -t_ zg4 pp., price 84 s. ~~~thern~tical statistics becomes more and more important for analrticaI chemists, and therefore the publication of the present book must be welcomed. After a short “Publisher’s Note” and a Preface, cbaptcr I deals with the problems of mathematical statistics in gcncral and especially from the view of analytical chemists. The next chapter. entitled “Classification of errors of chernicnl analysis” is of an introductory nature, but chapter XII, presentirq the problems of random variables, gives a detailed discussion of the matter. Although distribution functions are mentioned here already, separate chapters deal with the most important ones, namely normal (chapter IV), Poisson and binomial distributions (chapter V). The next chapter has the title “Estimation of results of chemical analysis” and contains mainly comparison tests between results, means and variances, including the t and F functions. A short discussion of the Tschebyschcff inequality and its use is added here, A separate chapter deals with analysis of variance, indicatiw the growing importance of this matter. Statistics of linear relations totqther with regression analysis and correlation calculus are described relatively briefly, while regression analysis in the case of nonlinear correlations is omitted completely. The last chapter is perhaps the best one of the book and presents some worki% methods connected with the statistical design of experiments. Research workers will profit particularly from this part of the book. The bibliography is presented in a valuable manner; full titles of textbooks and original papers are given, and short abstracts (or notes) are added to each title. The 172 Rnnl. C&m. Acfa, 31 (xgC4) 403-404
404
BOOK REVIEWS
references cover the field in which analytical chemists would be interested, although it is not quite clear why some of them have no separate numbers. There is also an ap~>cnc?ix containing tabulated values of some important functions, and a subject in&x. The mathematical standard of the book is relatively high; this allows a more exact treatment of the matter than is customary. It must be pointed out that from the very beginning of the discussions, numerical calculations are presented based on examples familiar to analytical chemists; this makes the problems easier to understand for the reader. The examples cover various ck&cal and instrumental methods, with regard to both error calculation and experimental. design, Translation and translation editing can be difficult, but these, together with the layout of the book, arc of a high standard. This new book can be rccommenciccl to all annlytical chemists working in industry and rcsenrch. c, Sv@,Ir.~\ (Budaj~cst)
wide application of infrared methods to qualitative and quantitative analysis is largely dependent on the ready availability of clata on the frequencies and intensities of absorption bands. This book collects data for characteristic group frequencies in a convcnicnt form. After a series of correlation charts there follow sections, arranged alphabetically, dealing with each functional group in turn; some sections are supplemented by a list of rcfcrences of variable value as a key to further informati~)n. Tkc brevity of the treatment cxcludcs from the main text any discussion of factors likely to interfere with the correct assignment of bands and it is unfortunate in this respect that tltc cautionary comments in the I~troductiol~ ccmnot be dis~)~ayed more prontincntly, As an adjunct to Bellamy’s bible this book performs a useful function.
The