Modeling and data treatment in the pharmaceutical sciences:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Lancaster [u.a.]
Technomic Publ.
1996
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIII, 270 S. graph. Darst. |
| ISBN: | 1566764408 |
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| adam_text | MODELING AND DATA TREATMENT IN THE PHARMACEUTICAL SCIENCES J. T.
CARSTENSEN, M.CH.E., PH.D. PROFESSOR EMERITUS THE UNIVERSITY OF
WISCONSIN TECHNOMIC PUBLISHING CO, INC T ,ANCASTER * BASET, TABLE OF
CONTENTS INTRODUCTION XIII 1. PURPOSE OF PHARMACEUTICAL RESEARCH 1 1.1
LITERATURE SEARCHES 1 1.2 RESEARCH MOTIVATION 1 1.3 NEGATIVE MODELING 2
1.4 HYPOTHETICAL MODELS 2 1.5 STRICT MODELING 3 1.6 PSEUDOMODELING 3 1.7
CURVE FITTING 3 1.8 ONE-POINT EXPERIMENTATION 4 1.9 REFERENCES 4 2. THE
SINGLE EXPERIMENT 5 2.1 DATA IN TABLES 5 2.2 CORRELATION 5 2.3 FORMULA
CONSIDERATIONS 6 2.4 SPECIFICATIONS 8 3. REPRESENTATION OF NUMBERS AND
DATA 9 3.1 TABULAR PRESENTATIONS 9 3.2 MEANS 9 3.3 THE DISPERSION 10 3.4
MEASURES OF DISPERSION 11 3.5 DEGREES OF FREEDOM 12 3.6 SPECIAL CASES OF
STANDARD DEVIATIONS 13 3.7 POPULATIONS AND SAMPLES 13 3.8 THE POOLED
STANDARD DEVIATION 15 VII VIII TABLE OF CONTENTS 3.9 PROBLEM 17 3.10
ANSWER 17 4. COMPUTER PROGRAMS :.... 19 4.1 DATA GENERATION FROM
EQUATIONS, BASIC 19 4.2 STATWORKS* 21 4.3 SIGMAPLOT 22 4.4 GRAPHICAL
PROGRAM (CRICKETGRAPH*) 23 5. CURVE FITTING AND PHENOMENOLOGY 25 5.1
CURVE FITTING OF CONTINUOUS CURVES 26 5.2 CURVE FITTING 26 5.3 CURVE
FITTING BY COMPUTER GRAPHING PROGRAMS 26 5.4 DOMAINS 28 5.5 SELECTION OF
ORDINATE AND ABSCISSA 28 5.6 COMMON CONSIDERATIONS 31 5.7 GENERAL CURVE
FORMS 34 5.8 SECOND-ORDER CURVE, FIRST-ORDER CURVE WITH EQUILIBRIUM 35
5.9 THE SIGMA-MINUS PLOT 36 5.10 THE LOGARITHMIC PLOT 38 5.11 POLYNOMIAL
PLOTS 38 5.12 INVERSE PLOTS 39 5.13 DEDUCTION AND CURVE FITTING 41 5.14
ARE THE DATA MONOPHASIC OR BIPHASIC? 45 5.15 CURVE-FITTING THE
NORMALIZED FREQUENCY FUNCTION 48 5.16 PROBABILITY PLOTS 51 5.17 WEIBULL
PLOTTING 53 5.18 PROBLEMS 53 5.19 ANSWERS 55 5.20 REFERENCES 60 6.
NORMALIZED FREQUENCY DISTRIBUTIONS 61 6.1 HISTOGRAMS 61 6.2 MAKING
FREQUENCY DISTRIBUTIONS COMPARABLE 63 6.3 NORMAL (GAUSSIAN) DISTRIBUTION
66 6.4 PROBABILITY CALCULATIONS FROM THE NORMAL DISTRIBUTION 68 ; 6.5
CUMULATIVE PRESENTATION: DISTRIBUTION FUNCTION 68 6.6 CONSTRUCTION OF
PROBABILITY PAPER 70 6.7 PARTICLE SIZES: LOG-NORMAL DISTRIBUTIONS 71
TABLE OF CONTENTS IX 6.8 STATISTICAL MOMENTS 73 6.9 REFERENCES 74 7.
OTHER DISTRIBUTIONS 75 7.1 POPULATIONS 75 7.2 THE X^DISTRIBUTION,
CONFIDENCE INTERVALS 77 7.3 OUTLIERS 79 7.4 THE SQUARE DISTRIBUTION:
RANDOM NUMBERS 82 7.5 THE STUDENT R-DISTRIBUTION 82 7.6 CONFIDENCE
LIMITS: SIGNIFICANT NUMBERS 83 7.7 THE BINOMIAL DISTRIBUTION 84 7.8
PROBLEM 86 7.9 ANSWER 86 7.10 REFERENCES 87 8. SIGNIFICANCE TESTING 89
8.1 NULL HYPOTHESIS 89 8.2 TESTING BY COMPARING VARIANCES 90 8.3 THE
F-TEST 91 8.4 FACTORIALS 92 8.5 DIFFERENCES BETWEEN ESTIMATES OF S 95
8.6 THE UNPAIRED R-TEST: SAMPLES AT HAND THE ONLY SOURCE OF VARIANCE 96
8.7 CHECKING THE MEANING OF PARAMETERS IN PROGRAMS: PROGRAM VALIDATION
98 8.8 UNEQUAL VARIANCES 99 8.9 PAIRED R-TEST 100 8.10 X 2 -TEST 101
8.11 THE WILCOXON/FRIEDMAN TEST 104 8.12 EQUIVALENCE TESTING 105 8.13
THE POWER OF A TEST 106 8.14 TEST FOR NORMALITY 107 8.15 PROBLEMS 110
8.16 ANSWERS 111 8.17 REFERENCES 114 9. SAMPLING 115 9.1 SAMPLING BY
VARIANCE 115 9.2 SAMPLING BY ATTRIBUTES 117 9.3 A PHARMACEUTICAL EXAMPLE
118 9.4 BLENDING VALIDATION 119 9.5 CONTROL CHARTS 120 X TABLE OF
CONTENTS 9.6 ARBITRARY AND TABULATED SAMPLE SIZES 124 9.7 PROBLEMS 124
9.8 ANSWERS 125 9.9 REFERENCES 126 10. LEAST SQUARES FITTING 127 10.1
EQUATION FOR A STRAIGHT LINE 127 10.2 CONCEPT OF LEAST SQUARES FITTING
128 10.3 DERIVATION OF THE LEAST SQUARES FIT EQUATION 132 10.4 A
LONG-HAND EXAMPLE 133 10.5 THE SLOPE 134 10.6 THE INTERCEPT AND
EXTRAPOLATED ESTIMATIONS 135 10.7 PREDICTION INTERVALS 136 10.8 THE
CORRELATION COEFFICIENT, R 136 10.9 UPPER AND LOWER CONFIDENCE BOUNDS:
PROGRAMMING THE LEAST SQUARES FIT 137 10.10 EXPIRATION PERIODS 138 10.11
PROGRAMS FOR REGRESSION WITH CONFIDENCE BOUNDS 140 10.12 ASSUMPTIONS
MADE IN THE LEAST SQUARES FIT 144 10.13 ANOVA OF LEAST SQUARES FIT 145
10.14 WEIGHTED LEAST SQUARES 147 10.15 SIGNIFICANCE OF CORRELATION AND
CURVATURE 148 10.16 THE SIGNIFICANCE OF THE CORRELATION COEFFICIENT 148
10.17 DURBIN-WATSON STATISTICS 149 10.18 MULTIPLE REGRESSION 151 10.19
TRANSFORMATIONS 152 10.20 NONLINEAR REGRESSION 154 10.21 WEIGHTING OF
TRANSFORMED VARIABLES 154 10.22 POLYNOMIALS 155 10.23 LEAST SQUARES FITS
OF DISTRIBUTION FUNCTIONS 157 10.24 REFERENCE 159 11. ITERATION 161 11.1
ONE ITERANT 161 11.2 NONLINEAR FITTING 164 11.3 CURVATURE 166 11.4
MULTIPLE PARAMETER CURVE FITTING 167 11.5 A PHARMACEUTICAL EXAMPLE
(SHEAR CELL) 172 11.6 MULTIPLE ITERANTS 174 11.7 DECONVOLUTION 177 11.8
THE LEAST SQUARES WRIST 180 TABLE OF CONTENTS XI 11.9 MODELING BY
COMPARISON AND STATISTICS 181 11.10 ZERO-POINT PROBLEMS 181 11.11 AN
EXAMPLE OF MULTIPLE ITERANTS 182 11.12 APPENDIX 185 11.13 REFERENCES 188
12. FACTORIALS AND PHENOMENOLOGY 189 12.1 THE SIMPLE FACTORIAL 190 12.2
SCREENING FOR VARIABLES 192 12.3 MULTIPLE SPECIFICATIONS 193 12.4
DIMENSIONLESS ANALYSIS 195 12.5 THE DIFFERENTIATION APPROACH 198 12.6
EXAMPLES OF DIFFERENTIAL FITTING 199 12.7 MONOPHASIC VERSUS BIPHASIC
PROFILES 202 12.8 OPTIMIZATION 202 12.9 REFERENCES 204 13. MONTE CARLO
METHOD AND SIMULATION 205 13.1 DESCRIPTION OF THE STEPS OF THE PROCESS
205 13.2 THE INITIAL THOUGHT-PROCESS 205 13.3 MONTE CARLO METHOD 207
13.4 SIMULATION 211 13.5 REFERENCES 215 14. PSEUDOMODELING 217 14.1
RELYING ON PREVIOUS MODELS 217 14.2 PSEUDOMODELING 219 14.3 GOING
BACKWARDS 220 14.4 GENERAL EQUATIONS IMITATED IN REVERSE DEDUCTION 221
14.5 A PHARMACEUTICAL EXAMPLE: AUTO-OXIDATION 222 14.6 CURVES WITH
EXTREMA 222 14.7 MODELS WITH FUNCTIONAL ASSUMPTIONS 224 14.8 MODELS WITH
INPUT FUNCTIONS: A PHARMACEUTICAL EXAMPLE 225 14.9 ARRIVING AT
DIFFERENTIAL OR OTHER EQUATIONS NOT SOLVABLE IN CLOSED FORM 229 14.10
REFERENCES 233 15. MODELING 235 15.1 DEFINITION OF MODELING 235 15.2
GETTING STARTED 235 XII TABLE OF CONTENTS 15.3 LITERATURE SEARCH 236
15.4 THE BASIC IDEA 236 15.5 GRAPHING 237 15.6 THE SATURDAY AFTERNOON
EXPERIMENT: THE QUICK-AND-DIRTY 240 15.7 INITIAL CONCLUSIONS FROM THE
GRAPH 241 15.8 THE INITIAL MODELING THOUGHTS: THE DOODLE 241 15.9
STRESSING THE MODEL 243 15.10 THE FINISHING TOUCHES 246 15.11
SCRUTINIZING THE SHORTCUTS TAKEN 247 15.12 IT NEVER ENDS 248 15.13
PROBLEMS 248 15.14 REFERENCES 250 16. CONCLUDING REMARKS 251 APPENDICES
255 INDEX 265
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| spelling | Carstensen, Jens T. Verfasser aut Modeling and data treatment in the pharmaceutical sciences J. T. Carstensen Lancaster [u.a.] Technomic Publ. 1996 XIII, 270 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Data-analyse gtt Models, Statistical Pharmaceutical Preparations Pharmacy Research Computer simulation Pharmacy Research Statistical methods Research methods Pharmazie (DE-588)4045705-9 gnd rswk-swf Modellierung (DE-588)4170297-9 gnd rswk-swf Datenanalyse (DE-588)4123037-1 gnd rswk-swf Pharmazie (DE-588)4045705-9 s Datenanalyse (DE-588)4123037-1 s DE-604 Modellierung (DE-588)4170297-9 s GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007433430&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Carstensen, Jens T. Modeling and data treatment in the pharmaceutical sciences Data-analyse gtt Models, Statistical Pharmaceutical Preparations Pharmacy Research Computer simulation Pharmacy Research Statistical methods Research methods Pharmazie (DE-588)4045705-9 gnd Modellierung (DE-588)4170297-9 gnd Datenanalyse (DE-588)4123037-1 gnd |
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| title | Modeling and data treatment in the pharmaceutical sciences |
| title_auth | Modeling and data treatment in the pharmaceutical sciences |
| title_exact_search | Modeling and data treatment in the pharmaceutical sciences |
| title_full | Modeling and data treatment in the pharmaceutical sciences J. T. Carstensen |
| title_fullStr | Modeling and data treatment in the pharmaceutical sciences J. T. Carstensen |
| title_full_unstemmed | Modeling and data treatment in the pharmaceutical sciences J. T. Carstensen |
| title_short | Modeling and data treatment in the pharmaceutical sciences |
| title_sort | modeling and data treatment in the pharmaceutical sciences |
| topic | Data-analyse gtt Models, Statistical Pharmaceutical Preparations Pharmacy Research Computer simulation Pharmacy Research Statistical methods Research methods Pharmazie (DE-588)4045705-9 gnd Modellierung (DE-588)4170297-9 gnd Datenanalyse (DE-588)4123037-1 gnd |
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