Pharmaceutical experimental design and interpretation:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
London [u.a.]
Taylor & Francis
1996
|
| Schriftenreihe: | The Taylor & Francis series in pharmaceutical sciences
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | IX, 274 S. graph. Darst. |
| ISBN: | 0748404368 |
Internformat
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Datensatz im Suchindex
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| adam_text | PHARMACEUTICAL EXPERIMENTAL DESIGN AND INTERPRETATION N. ANTHONY
ARMSTRONG, B. PHARM., PH.D., F.R.PHARM.S., MCPP. KENNETH C. JAMES, M.
PHARM., PH.D., D.SC, FRSC, F.R.PHARM.S., C.CHEM. WELSH SCHOOL OF
PHARMACY, UNIVERSITY OL WALES, CARDIFF, UK TANCIS PUBLISHERS SINCE 1798
CONTENTS 1 INTRODUCTION TO EXPERIMENTAL DESIGN 1 1.1 THE EXPERIMENTAL
PROCESS 1 1.2 COMPUTERS AND EXPERIMENTAL DESIGN 2 1.3 OVERVIEW OF
EXPERIMENTAL DESIGN AND INTERPRETATION 4 2 COMPARISON OF MEAN VALUES 9
2.1 COMPARISON OF TWO MEANS WHEN THE VARIANCE OF THE WHOLE POPULATION IS
KNOWN 9 2.2 COMPARISON OF TWO MEANS WHEN THE VARIANCE OF THE WHOLE
POPULATION IS NOT KNOWN 11 2.3 COMPARISON OF MEANS AMONG MORE THAN TWO
GROUPS OF DATA 13 2.4 ANALYSIS OF VARIANCE 14 2.5 LEAST SIGNIFICANT
DIFFERENCE 16 2.6 TWO-WAY ANALYSIS OF VARIANCE 17 3 NON-PARAMETRIC
TREATMENTS 21 3.1 NON-PARAMETRIC TESTS FOR PAIRED DATA 21 3.1.1 THE SIGN
TEST 21 3.1.2 THE WILCOXON SIGNED RANK TEST 24 3.2 NON-PARAMETRIC TESTS
FOR UNPAIRED DATA 25 3.2.1 THE WILCOXON TWO-SAMPLE TEST 25 4 CORRELATION
AND REGRESSION 29 4.1 INTRODUCTION 29 4.2 CORRELATION 29 4.2.1 LINEAR
CORRELATION 30 4.2.1.1 CONSTITUTIONAL PROPERTIES 30 4.2.1.2 RESULTANT
PROPERTIES 30 4.3 LINEAR REGRESSION 30 4.3.1 THE NUMBER OF PAIRS OF
VARIABLES (N) 32 4.3.2 THE CORRELATION COEFFICIENT (R) 33 CONTENTS 4.3.3
THE STANDARD ERROR OF THE ESTIMATE (S) 36 4.3.4 THE STANDARD ERROR OF
THE COEFFICIENT 37 4.3.5 THE F VALUE OR VARIANCE RATIO 37 4.4 INVERSE
REGRESSION ANALYSIS 37 4.5 MULTIPLE REGRESSION ANALYSIS 38 4.5.1
CORRELATION COEFFICIENTS 40 4.5.2 STANDARD ERROR OF THE ESTIMATE 42
4.5.3 STANDARD ERRORS OF THE COEFFICIENTS AND THE INTERCEPT 42 4.5.4 F
VALUE 42 4.5.5 INTERACTION BETWEEN INDEPENDENT VARIABLES 43 4.6 STEPWISE
REGRESSION 43 4.7 CATEGORICAL DATA 44 4.8 CURVE FITTING OF NON-LINEAR
RELATIONSHIPS 44 4.8.1 THE POWER SERIES 44 4.8.1.1 QUADRATIC
RELATIONSHIPS 45 4.8.1.2 CUBIC EQUATIONS 50 4.8.2 CURVE FITTING WITH
MODELS 50 4.8.3 CURVE FITTING WITHOUT MODELS 52 4.8.3.1 EXPONENTIAL
PLOTS 52 4.8.3.2 GEOMETRIC PLOTS 53 4.8.3.3 HYPERBOLIC PLOTS 53 4.8.3.4
RECTANGULAR HYPERBOLIC PLOTS 54 4.8.4 EXTRAPOLATION 55 4.9 FREE-WILSON
ANALYSIS 57 5 MULTIVARIATE METHODS 61 5.1 INTRODUCTION 61 5.2 DISTANCE
MATRIX 61 5.3 COVARIANCE MATRIX 63 5.4 CORRELATION MATRIX 66 5.5
EIGENVALUES AND EIGENVECTORS 68 6 CLUSTER AND DISCRIMINATION ANALYSIS 73
6.1 CLUSTER ANALYSIS 73 6.1.1 CARTESIAN PLOTS 73 6.1.2 ANDREWS PLOTS 76
6.1.3 DENDROGRAMS 78 6.1.3.1 HIERARCHIC OR AGGLOMERATIVE METHODS 78
6.1.3.2 PARTITIONING METHODS 80 6.2 DISCRIMINATION 83 7 PRINCIPAL
COMPONENTS AND FACTOR ANALYSIS 89 7.1 PRINCIPAL COMPONENTS ANALYSIS 89
7.2 FACTOR ANALYSIS 92 7.3 ROTATION 96 8 SEQUENTIAL ANALYSIS 105 8.1
INTRODUCTION 105 8.2 WALD PLOTS 107 VI CONTENTS 8.2.1 THE SIGN TEST 107
8.2.2 THE SEQUENTIAL PROCEDURE 107 8.2.3 CONSTRUCTION OF BARRIER LINES
108 8.3 BROSS PLOTS 112 8.3.1 CONSTRUCTION OF BARRIER LINES USING THE
BINOMIAL THEOREM 112 8.3.2 CONFIDENCE LEVELS 115 8.3.3 PRIOR
DISTRIBUTION 117 8.4 TRIANGULAR PLOTS 120 8.4.1 CALCULATION OF BARRIERS
FOR TRIANGULAR PLOTS 122 8.5 TRUNCATION PROCEDURES 123 8.5.1 TRUNCATION
USING A VERTICAL BARRIER 124 8.5.2 TRUNCATION USING ANGLED STOPPING
LINES 124 8.5.3 CHANGING THE CONFIDENCE LIMITS 125 8.5.4 TRUNCATION
PROCEDURE FOR TRIANGULAR PLOTS 127 9 FACTORIAL DESIGN OF EXPERIMENTS 131
9.1 TWO-FACTOR, TWO-LEVEL EXPERIMENTAL DESIGNS 132 9.1.1 NOTATION IN
FACTORIALLY DESIGNED EXPERIMENTS 132 9.1.2 FACTORIAL DESIGNS WITH
INTERACTION BETWEEN FACTORS 134 9.2 FACTORIAL DESIGNS WITH THREE FACTORS
137 9.3 FACTORIAL DESIGNS AND ANOVA 140 9.3.1 YATES TREATMENT 140 9.3.2
LINEAR REGRESSION 143 9.4 FACTORIAL DESIGNS WITH REPLICATION 144 9.5
FACTORIAL DESIGNS WITH THREE LEVELS 146 9.6 THREE-FACTOR, THREE-LEVEL
FACTORIAL DESIGNS 151 9.7 BLOCKS AND FRACTIONAL DESIGNS 155 9.7.1
BLOCKED DESIGNS 155 9.7.2 FRACTIONAL FACTORIAL DESIGNS 158 9.7.3
PLACKETT-BURMAN DESIGNS 160 9.7.4, CENTRAL COMPOSITE AND OTHER DESIGNS
161 9.8 GENERAL COMMENTS ON FACTORIAL DESIGN 162 10 MODEL-DEPENDENT
OPTIMIZATION AND RESPONSE SURFACE METHODOLOGY 169 10.1 OPTIMIZATION 169
10.2 MODEL-DEPENDENT OPTIMIZATION 170 10.2.1 VALIDATION OF THE DESIGN
AND THE REGRESSION EQUATIONS 178 10.3 OPTIMIZATION WHEN INTERACTION
OCCURS BETWEEN THE INDEPENDENT VARIABLES 178 10.3.1 USE OF CODED DATA
180 10.4 SECOND-ORDER RELATIONSHIPS BETWEEN INDEPENDENT AND DEPENDENT
VARIABLES 181 10.5 OPTIMIZATION WITH THREE OR MORE INDEPENDENT VARIABLES
183 10.6 OPTIMIZATION USING THE PARETO-OPTIMALITY TECHNIQUE 188 11
MODEL-INDEPENDENT OPTIMIZATION 193 11.1 OPTIMIZATION BY SIMPLEX SEARCH
193 11.2 COMPARISON OF MODEL-INDEPENDENT AND MODEL-DEPENDENT METHODS 199
VII CONTENTS 12 EXPERIMENTAL DESIGNS FOR MIXTURES 205 12.1 THREE
COMPONENT SYSTEMS 206 12.2 MIXTURES WITH MORE THAN THREE COMPONENTS 210
12.3 OPTIMIZATION IN EXPERIMENTS WITH MIXTURES 210 12.4 MODEL-DEPENDENT
METHODS 211 12.4.1 LINEAR RELATIONSHIPS BETWEEN COMPOSITION AND RESPONSE
211 12.4.2 HIGHER ORDER RELATIONSHIPS BETWEEN COMPOSITION AND RESPONSE
212 12.4.3 DERIVATION OF CONTOUR PLOTS 213 12.5 PARETO-OPTIMALITY AND
MIXTURES 219 12.6 PROCESS VARIABLES IN MIXTURE EXPERIMENTS 220 A1
STATISTICAL TABLES 225 A 1.1 CUMULATIVE NORMAL DISTRIBUTION (GAUSSIAN
DISTRIBUTION) 225 A 1.2 STUDENT S T DISTRIBUTION 225 A 1.3 ANALYSIS OF
VARIANCE 226 A2 COMPUTER PROGRAMS IN BASIC AND MINITAB COMMANDS 229 A2.1
CALCULATION OF MEAN, STANDARD DEVIATION ETC. 229 A2.1.1 INSERTION OF
DATA AND INSTRUCTIONS 231 A2.1.2 CALCULATION OF MEAN ETC. 232 A2.1.3
STANDARDIZATION OF DATA 232 A2.2 LINEAR REGRESSION 233 A2.2.1 INSERTION
OF DATA AND INSTRUCTIONS 236 A2.2.2 CALCULATION OF THE REGRESSION
EQUATION ETC. 236 A2.3 PARABOLIC CURVE FIT 237 A2.3.1 INSERTION OF DATA
AND INSTRUCTIONS 240 A2.3.2 CALCULATION OF THE REGRESSION EQUATION ETC.
241 A2.4 THREE-VARIABLE REGRESSION 241 A2.4.1 INSERTION OF DATA AND
INSTRUCTIONS 245 A2.4.2 CALCULATION OF THE REGRESSION EQUATION ETC. 246
A2.5 THE DETERMINANT OF A (3 X 3) MATRIX 246 A2.6 THE DETERMINANT OF A
(4 X 4) MATRIX 248 A2.7 DETERMINATION OF MATRIX PARAMETERS USING MINITAB
249 A2.7.1 INSERTION OF DATA AND INSTRUCTIONS 250 A2.7.2 STANDARDIZATION
OF DATA 250 A2.7.3 CALCULATION OF COVARIANCE MATRIX 251 A2.7.4
CALCULATION OF CORRELATION MATRIX 251 A2.7.5 CALCULATION OF EIGENVALUES
AND EIGENVECTORS 251 A2.8 THREE-FACTOR, TWO-LEVEL FACTORIAL DESIGN 252
A2.8.1 INSERTION OF DATA AND INSTRUCTIONS 255 A2.8.2 ANALYSIS OF
VARIANCE 256 A3 SEQUENTIAL ANALYSIS GRIDS 257 A3.1 A WALD GRID FOR A
PROBABILITY LEVEL OF IP = 0.05 257 A3.2 A WALD GRID FOR A PROBABILITY
LEVEL OF IP = 0.10 258 A3.3 A BROSS GRID FOR A PROBABILITY LEVEL OF IP =
0.01 258 A3.4 A BROSS GRID FOR A PROBABILITY LEVEL OF IP = 0.10 258 VIII
CONTENTS A4 MATRICES 261 A4.1 INTRODUCTION 261 A4.2 ADDITION AND
SUBTRACTION 263 A4.3 MULTIPLICATION 264 A4.3.1 MULTIPLYING A MATRIX BY A
CONSTANT 264 A4.3.2 MULTIPLYING A MATRIX BY A COLUMN VECTOR 264 A4.3.3
MULTIPLICATION OF ONE MATRIX BY ANOTHER 264 A4.3.4 MULTIPLICATION BY A
UNIT MATRIX 265 A4.3.5 MULTIPLICATION BY A NULL MATRIX 266 A4.4
DETERMINANTS 266 IX
|
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| language | English |
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| physical | IX, 274 S. graph. Darst. |
| publishDate | 1996 |
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| series2 | The Taylor & Francis series in pharmaceutical sciences |
| spelling | Armstrong, N. A. Verfasser (DE-588)1216295808 aut Pharmaceutical experimental design and interpretation N. Anthony Armstrong ; Kenneth C. James London [u.a.] Taylor & Francis 1996 IX, 274 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier The Taylor & Francis series in pharmaceutical sciences Data Interpretation, Statistical Drug Design Drugs Research Methodology Experimental design Research Design Pharmazie (DE-588)4045705-9 gnd rswk-swf Versuchsplanung (DE-588)4078859-3 gnd rswk-swf Versuchsplanung (DE-588)4078859-3 s Pharmazie (DE-588)4045705-9 s DE-604 James, Kenneth C. Verfasser aut GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007491347&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Armstrong, N. A. James, Kenneth C. Pharmaceutical experimental design and interpretation Data Interpretation, Statistical Drug Design Drugs Research Methodology Experimental design Research Design Pharmazie (DE-588)4045705-9 gnd Versuchsplanung (DE-588)4078859-3 gnd |
| subject_GND | (DE-588)4045705-9 (DE-588)4078859-3 |
| title | Pharmaceutical experimental design and interpretation |
| title_auth | Pharmaceutical experimental design and interpretation |
| title_exact_search | Pharmaceutical experimental design and interpretation |
| title_full | Pharmaceutical experimental design and interpretation N. Anthony Armstrong ; Kenneth C. James |
| title_fullStr | Pharmaceutical experimental design and interpretation N. Anthony Armstrong ; Kenneth C. James |
| title_full_unstemmed | Pharmaceutical experimental design and interpretation N. Anthony Armstrong ; Kenneth C. James |
| title_short | Pharmaceutical experimental design and interpretation |
| title_sort | pharmaceutical experimental design and interpretation |
| topic | Data Interpretation, Statistical Drug Design Drugs Research Methodology Experimental design Research Design Pharmazie (DE-588)4045705-9 gnd Versuchsplanung (DE-588)4078859-3 gnd |
| topic_facet | Data Interpretation, Statistical Drug Design Drugs Research Methodology Experimental design Research Design Pharmazie Versuchsplanung |
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