Statistics of Bioassay (eBook)

With Special Reference to the Vitamins

C. I. Bliss (Autor)

eBook Download: PDF

2014 | 1. Auflage
188 Seiten
Elsevier Science (Verlag)
978-1-4832-7701-1 (ISBN)

Infos

The Statistics of Bioassay: With Special Reference to the Vitamins, Volume II focuses on the processes, reactions, principles, and approaches involved in the biological assay of vitamins. The publication first offers information on the general principles of biological assay, dosage-response curve and its error, and designs for segregating nonrandom variation. Discussions focus on replacement of missing values, randomized groups, calculation of the line, analysis of the variation about the line, comparative biological assays, analytical biological assays, and determination of activity. The text then ponders on measurement of relative potency and correction of quantitative variables. The manuscript takes a look at assays where the variation in response is a function of the dose and slope-ratio assays. Topics include microbiological assays and the slope-ratio technique, analysis of balanced slope-ratio assays, analysis of assays with an all-or-none response, and graded response with unequal variance. The publication then tackles multiple or repeated assays, including quality control in repeated assays and combination of independent assays of a single unknown. The publication is a valuable source of information for researchers interested in the biological assay of vitamins.

Inhalt

Front Cover 1
The Statistics of Bioassay: With Special Reference to the Vitamins 2
Copyright Page 3
Table of Contents 6
FOREWORD 4
Chapter I. General Principles of Biological Assays 9
1. DETERMINATIONS OF ACTIVITY 9
2. COMPARATIVE BIOLOGICAL ASSAYS 10
3. ANALYTICAL BIOLOGICAL ASSAYS 11
4. INSPECTION ASSAYS 12
Chapter II. The Dosage-Response Curve and Its Error 13
1. THE CALCULATION OF THE LINE 14
2. ANALYSIS OF THE VARIATION ABOUT THE LINE 21
3. THE PRECISION OF THE LINE 30
Chapter III. Designs for Segregating Nonrandom Variation 35
1. EANDOMIZED GROUPS 36
2. THE LATIN SQUARE 39
3. THE REPLACEMENT OF MISSING VALUES 42
Chapter IV. Measurement of Relative Potency 43
1. DETERMINATIONS OF POTENCY WITHOUT RESTRICTIONS IN DOSE 44
2. FACTORIAL DETERMINATIONS OP POTENCY 52
3. THE PRECISION OF THE ASSAYED POTENCY 65
4. EXTENSIONS OF THE TWO-DOSE FACTORIAL ASSAY 70
Chapter V. The Correction of Quantitative Variables: Covariance 85
1. THE COVARIANCE BETWEEN A CONCOMITANT MEASURE AND THE RESPONSE 86
2. THE ADJUSTED ESTIMATE OF POTENCY 90
3. THE ERROR OF THE ESTIMATED POTENCY 93
Chapter VI. Assays Where the Variation in Response Is a Function of the Dose 96
1. THE ANALYSIS OF ASSAYS WITH AN ALL-OR-NONE RESPONSE 97
2. A GRADED RESPONSE WITH UNEQUAL VARIANCE 111
Chapter VII. Slope-Ratio Assays 121
1. MICROBIOLOGICAL ASSAYS AND THE SLOPE-RATIO TECHNIQUE 122
2. ANALYSIS OF BALANCED SLOPE-RATIO ASSAYS 126
Chapter VIII. Multiple or Repeated Assays 137
1. THE COMBINATION OF INDEPENDENT ASSAYS OF A SINGLE UNKNOWN 137
2. QUALITY CONTROL IN REPEATED ASSAYS 147
3. COLLABORATIVE EXPERIMENTS 157
Glossary of Symbols 159
Addendum 168
REFERENCES 179
Index to Equations 181
Subject Index 184

Produkt-Details

• Erscheint lt. Verlag: 12.5.2014
• Sprache: englisch
• Themenwelt: Studium ► 1. Studienabschnitt (Vorklinik) ► Physiologie
• Themenwelt: Naturwissenschaften ► Biologie ► Humanbiologie
• Themenwelt: Technik
• ISBN-10: 1-4832-7701-1 / 1483277011
• ISBN-13: 978-1-4832-7701-1 / 9781483277011