Data analysis with Excel: an introduction for physical scientists
Gespeichert in:
1. Verfasser: | |
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Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Cambridge [u.a.]
Cambridge Univ. Press
2002
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Ausgabe: | 1. publ. |
Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | XVII, 446 S. Ill., graph. Darst. |
ISBN: | 0521797373 0521793378 |
Internformat
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adam_text | DATA ANALYSIS WITH EXCEL AN INTRODUCTION FOR PHYSICAL SCIENTISTS
LESKIRKUP UNIVERSITY OF TECHNOLOGY, SYDNEY CAMBRIDGE UNIVERSITY PRESS
CONTENTS PREFACE XV 1 INTRODUCTION TO SCIENTIFIC DATA ANALYSIS 1 1.1
INTRODUCTION 1 1.2 SCIENTIFIC EXPERIMENTATION 2 1.2.1 AIM OF AN
EXPERIMENT 3 1.2.2 EXPERIMENTAL DESIGN 4 1.3 UNITS AND STANDARDS 6 1.3.1
UNITS 7 1.3.2 STANDARDS 10 1.3.3 PREFIXES AND SCIENTIFIC NOTATION 10
1.3.4 SIGNIFICANT FIGURES 12 1.4 PICTURING EXPERIMENTAL DATA 14 1.4.1
HISTOGRAMS 14 1.4.2 RELATIONSHIPS AND THE X-Y GRAPH 17 1.4.3 LOGARITHMIC
SCALES 20 1.5 KEY NUMBERS SUMMARISE EXPERIMENTAL DATA 21 1.5.1 THE MEAN
AND THE MEDIAN 22 1.5.2 VARIANCE AND STANDARD DEVIATION 24 1.6
POPULATION AND SAMPLE 26 1.6.1 POPULATION PARAMETERS 27 1.6.2 TRUE VALUE
AND POPULATION MEAN 27 1.6.3 SAMPLE STATISTICS 28 1.6.4 WHICH STANDARD
DEVIATION DO WE USE? 30 1.6.5 APPROXIMATING 5 31 1.7 EXPERIMENTAL ERROR
32 1.7.1 RANDOM ERROR 33 CONTENTS 1.7.2 SYSTEMATIC ERROR 33 1.7.3
REPEATABILITY AND REPRODUCIBILITY 34 1.8 MODERN TOOLS OF DATA ANALYSIS -
THE COMPUTER BASED SPREADSHEET 34 1.9 REVIEW 35 PROBLEMS 36 2 EXCEL AND
DATA ANALYSIS 39 2.1 INTRODUCTION 39 2.2 WHAT IS A SPREADSHEET? 40 2.3
INTRODUCTION TO EXCEL 41 2.3.1 STARTING WITH EXCEL 42 2.3.2 WORKSHEETS
AND WORKBOOKS 43 2.3.3 ENTERING AND SAVING DATA 44 2.3.4 ROUNDING, RANGE
AND THE DISPLAY OF NUMBERS 45 2.3.5 ENTERING FORMULAE 47 2.3.6 CELL
REFERENCES AND NAMING CELLS 50 2.3.7 OPERATOR PRECEDENCE AND SPREADSHEET
READABILITY 53 2.3.8 VERIFICATION AND TROUBLESHOOTING 55 2.3.9 AUDITING
TOOLS 58 2.4 BUILT IN MATHEMATICAL FUNCTIONS 59 2.4.1 TRIGONOMETRICAL
FUNCTIONS 61 2.5 BUILT IN STATISTICAL FUNCTIONS 62 2.5.1 SUMO, MAX() AND
MINO 62 2.5.2 AVERAGE(),MEDIAN()ANDMODE0 64 2.5.3 OTHER USEFUL FUNCTIONS
65 2.6 PRESENTATION OPTIONS 66 2.7 CHARTS IN EXCEL 68 2.7.1 THEX-YGRAPH
68 2.7.2 PLOTTING MULTIPLE SETS OF DATA ON AN X-Y GRAPH 73 2.8 DATA
ANALYSIS TOOLS 75 2.8.1 HISTOGRAMS 76 2.8.2 DESCRIPTIVE STATISTICS 79
2.9 REVIEW 80 PROBLEMS 81 3 DATA DISTRIBUTIONS I 85 3.1 INTRODUCTION 85
3.2 PROBABILITY 86 3.2.1 RULES OF PROBABILITY 87 3.3 PROBABILITY
DISTRIBUTIONS 89 3.3.1 LIMITS IN PROBABILITY CALCULATIONS 93 CONTENTS
3.4 DISTRIBUTIONS OF REAL DATA 94 3.5 THE NORMAL DISTRIBUTION 97 3.5.1
EXCEL S NORMDISTO FUNCTION 99 3.5.2 THE STANDARD NORMAL DISTRIBUTION
101 3.5.3 EXCEP S NORMSDIST0 FUNCTION 104 3.5.4 XAND S AS APPROXIMATIONS
TO ^ AND O- 106 3.6 CONFIDENCE INTERVALS AND CONFIDENCE LIMITS 107 3.6.1
THE 68% AND 95% CONFIDENCE INTERVALS 109 3.6.2 EXCEL S NORMINV0
FUNCTION 112 3.6.3 EXCEL S NORMSINV0 FUNCTION 113 3.7 DISTRIBUTION OF
SAMPLE MEANS 114 3.8 THE CENTRAL LIMIT THEOREM 116 3.8.1 STANDARD ERROR
OF THE SAMPLE MEAN 117 3.8.1.1 APPROXIMATING CR. 120 3.8.2 EXCEL S
CONFIDENCE0 FUNCTION 121 3.9 THE T DISTRIBUTION 122 3.9.1 EXCEFSTDISTO
AND TINVO FUNCTIONS 125 3.10 THE LOGNORMAL DISTRIBUTION 126 3.11
ASSESSING THE NORMALITY OF DATA 128 3.11.1 THE NORMAL QUANTILE PLOT 128
3.12 POPULATION MEAN AND CONTINUOUS DISTRIBUTIONS 131 3.13 POPULATION
MEAN AND EXPECTATION VALUE 132 3.14 REVIEW 133 PROBLEMS 133 4 DATA
DISTRIBUTIONS II 138 4.1 INTRODUCTION 138 4.2 THE BINOMIAL DISTRIBUTION
138 4.2.1 CALCULATION OF PROBABILITIES USING THE BINOMIAL DISTRIBUTION
140 4.2.2 PROBABILITY OF A SUCCESS, P 142 4.2.3 EXCEL S BINOMDIST0
FUNCTION 143 4.2.4 MEAN AND STANDARD DEVIATION OF BINOMIALLY DISTRIBUTED
DATA 144 4.2.5 NORMAL DISTRIBUTION AS AN APPROXIMATION TO THE BINOMIAL
DISTRIBUTION 145 4.3 THE POISSON DISTRIBUTION 149 4.3.1 APPLICATIONS OF
THE POISSON DISTRIBUTION 151 4.3.2 STANDARD DEVIATION OF THE POISSON
DISTRIBUTION 152 4.3.3 EXCEL S POISSON0 FUNCTION 154 4.3.4 NORMAL
DISTRIBUTION AS AN APPROXIMATION TO THE POISSON DISTRIBUTION 156
CONTENTS 4.4 REVIEW 157 PROBLEMS 158 5 MEASUREMENT, ERROR AND
UNCERTAINTY 161 5.1 INTRODUCTION 161 5.2 THE PROCESS OF MEASUREMENT 162
5.3 TRUE VALUE, ERROR AND UNCERTAINTY 165 5.3.1 CALCULATION OF
UNCERTAINTY, U 167 5.4 PRECISION AND ACCURACY 170 5.5 RANDOM AND
SYSTEMATIC ERRORS 171 5.6 RANDOM ERRORS 172 5.6.1 COMMON SOURCES OF
ERROR 172 5.7 ABSOLUTE, FRACTIONAL AND PERCENTAGE UNCERTAINTIES 174
5.7.1 COMBINING UNCERTAINTIES CAUSED BY RANDOM ERRORS 176 5.7.2
EQUATIONS CONTAINING A SINGLE VARIABLE 176 5.7.3 EQUATIONS CONTAINING
MORE THAN ONE VARIABLE 178 5.7.4 MOST PROBABLE UNCERTAINTY 180 5.7.5
REVIEW OF COMBINING UNCERTAINTIES 183 5.8 COPING WITH EXTREMES IN DATA
VARIABILITY 183 5.8.1 OUTLIERS 183 5.8.2 CHAUVENET S CRITERION 184 5.8.3
DEALING WITH VALUES THAT SHOW NO VARIABILITY 187 5.9 UNCERTAINTY DUE TO
SYSTEMATIC ERRORS 190 5.9.1 CALIBRATION ERRORS AND SPECIFICATIONS 191
5.9.2 OFFSET AND GAIN ERRORS 192 5.9.3 LOADING ERRORS 195 5.9.4 DYNAMIC
EFFECTS 197 5.9.5 ZERO ORDER SYSTEM 198 5.9.6 FIRST ORDER SYSTEM 198
5.10 COMBINING UNCERTAINTIES CAUSED BY SYSTEMATIC ERRORS 201 5.11
COMBINING UNCERTAINTIES DUE TO RANDOM AND SYSTEMATIC ERRORS 202 5.11.1
TYPE A AND TYPE B CATEGORISATION OF UNCERTAINTIES 205 5.12 WEIGHTED MEAN
205 5.12.1 STANDARD ERROR IN THE WEIGHTED MEAN 207 5.12.2 SHOULD MEANS
BE COMBINED? 208 5.13 REVIEW 208 PROBLEMS 209 6 LEAST SQUARES I 213
6.1 INTRODUCTION 213 6.2 THE EQUATION OF A STRAIGHT LINE 214 6.2.1 THE
BEST STRAIGHT LINE THROUGH X-Y DATA 215 CONTENTS 6.2.2 UNWEIGHTED
LEAST SQUARES 217 6.2.3 TRENDLINE IN EXCEL 222 6.2.4 UNCERTAINTY IN A
AND B 223 6.2.5 LEAST SQUARES, INTERMEDIATE CALCULATIONS AND SIGNIFICANT
FIGURES 226 6.2.6 CONFIDENCE INTERVALS FOR A AND /3 226 6.3 EXCEPS
LINESTO FUNCTION 228 6.4 USING THE LINE OF BEST FIT 230 6.4.1 COMPARING
A PHYSICAL EQUATION TO Y = A + BX 231 6.4.1.1
UNCERTAINTIESINPARAMETERSWHICHAREFUNCTIONSOFAANDFO 232 6.4.2 ESTIMATING
Y FOR A GIVEN X 233 6.4.2.1 UNCERTAINTY IN PREDICTION OF Y AT A
PARTICULAR VALUE OF X 236 6.4.3 ESTIMATING X FOR A GIVEN Y 236 6.5
FITTING A STRAIGHT LINE TO DATA WHEN RANDOM ERRORS ARE CONFINED TO THE X
QUANTITY 239 6.6 LINEAR CORRELATION COEFFICIENT, R 242 6.6.1 CALCULATING
R USING EXCEL 246 6.6.2 IS THE VALUE OF R SIGNIFICANT? 247 6.7
RESIDUALS 249 6.7.1 STANDARDISED RESIDUALS 252 6.8 DATA REJECTION 254
6.9 TRANSFORMING DATA FOR LEAST SQUARES ANALYSIS 257 6.9.1 CONSEQUENCES
OF DATA TRANSFORMATION 262 6.10 WEIGHTED LEAST SQUARES 264 6.10.1
WEIGHTED UNCERTAINTY IN A AND B 267 6.10.2 WEIGHTED STANDARD DEVIATION,
A W 268 6.10.3 WEIGHTED LEAST SQUARES AND EXCEL 272 6.11 REVIEW 272
PROBLEMS 273 7 LEAST SQUARES II 280 7.1 INTRODUCTION 280 7.2 EXTENDING
LINEAR LEAST SQUARES 281 7.3 FORMULATING EQUATIONS TO SOLVE FOR
PARAMETER ESTIMATES 283 7.4 MATRICES AND EXCEL 285 7.4.1 THE MINVERSEO
FUNCTION 285 7.4.2 THE MMULTO FUNCTION 286 7.4.3 FITTING THE POLYNOMIAL
Y= A +BX+ EX 2 TO DATA 288 7.5 MULTIPLE LEAST SQUARES 290 7.6 STANDARD
ERRORS IN PARAMETER ESTIMATES 293 7.6.1 CONFIDENCE INTERVALS FOR
PARAMETERS 296 7.7 WEIGHTING THE FIT 297 CONTENTS 7.8 COEFFICIENTS OF
MULTIPLE CORRELATION AND MULTIPLE DETERMINATION 299 7.9 THE LINESTO
FUNCTION FOR MULTIPLE LEAST SQUARES 300 7.10 CHOOSING EQUATIONS TO FIT
TO DATA 302 7.10.1 COMPARING EQUATIONS FITTED TO DATA 303 7.11
NON-LINEAR LEAST SQUARES 306 7.12 REVIEW 309 PROBLEMS 309 8 TESTS OF
SIGNIFICANCE 315 8.1 INTRODUCTION 315 8.2 CONFIDENCE LEVELS AND
SIGNIFICANCE TESTING 316 8.3 HYPOTHESIS TESTING 320 8.3.1 DISTRIBUTION
OF THE TEST STATISTIC, Z 322 8.3.2 USING EXCEL TO COMPARE SAMPLE MEAN
AND HYPOTHESISED POPULATION MEAN 325 8.3.3 ONE TAILED AND TWO TAILED
TESTS OF SIGNIFICANCE 327 8.3.4 TYPE I AND TYPE II ERRORS 328 8.4
COMPARING XWITH N 0 WHEN SAMPLE SIZES ARE SMALL 329 8.5 SIGNIFICANCE
TESTING FOR LEAST SQUARES PARAMETERS 331 8.6 COMPARISON OF THE MEANS OF
TWO SAMPLES 334 8.6.1 EXCEP S TTEST0 337 8.7 ?TEST FOR PAIRED SAMPLES
339 8.7.1 EXCEP S TTEST0 FOR PAIRED SAMPLES 341 8.8 COMPARING VARIANCES
USING THE FTEST 342 8.8.1 THE F DISTRIBUTION 342 8.8.2 THEFTEST 344
8.8.3 EXCEP S FINV0 FUNCTION 346 8.8.4 ROBUSTNESS OF THE F TEST 346 8.9
COMPARING EXPECTED AND OBSERVED FREQUENCIES USING THE X 2 TEST 347 8.9.1
THE X 2 DISTRIBUTION 347 8.9.2 THEFTEST 349 8.9.3 IS THE FIT TOO GOOD?
350 8.9.4 DEGREES OF FREEDOM IN X 2 TEST 351 8.9.5 EXCEP S CHIINV0
FUNCTION 354 8.10 ANALYSIS OF VARIANCE 354 - 8.10.1 PRINCIPLE OF ANOVA
355 8.10.2 EXAMPLE OF ANOVA CALCULATION 357 8.11 REVIEW 359 PROBLEMS 360
CONTENTS XIII 9 DATA ANALYSIS TOOLS IN EXCEL AND THE ANALYSIS TOOLPAK
364 9.1 INTRODUCTION 364 9.2 ACTIVATING THE DATA ANALYSIS TOOLS 365
9.2.1 GENERAL FEATURES 366 9.3 ANOVA: SINGLE FACTOR 367 9.4 CORRELATION
368 9.5 FTEST TWO-SAMPLE FOR VARIANCES 369 9.6 RANDOM NUMBER GENERATION
371 9.7 REGRESSION 373 9.7.1 ADVANCED LINEAR LEAST SQUARES USING EXCEP S
REGRESSION TOOL 375 9.8 T TESTS 376 9.9 OTHER TOOLS 378 9.9.1 ANOVA:
TWO-FACTOR WITH REPLICATION AND ANOVA: TWO-FACTOR WITHOUT REPLICATION
378 9.9.2 COVARIANCE 378 9.9.3 EXPONENTIAL SMOOTHING 379 9.9.4 FOURIER
ANALYSIS 379 9.9.5 MOVING AVERAGE 379 9.9.6 RANK AND PERCENTILE 380
9.9.7 SAMPLING 380 9.10 REVIEW 380 APPENDIX 1 STATISTICAL TABLES 381
APPENDIX 2 PROPAGATION OF UNCERTAINTIES 390 APPENDIX 3 LEAST SQUARES AND
THE PRINCIPLE OF MAXIMUM LIKELIHOOD 392 A3.1 MEAN ARID WEIGHTED MEAN 392
A3.2 BEST ESTIMATES OF SLOPE AND INTERCEPT 394 A3.3 THE LINE OF BEST FIT
PASSES THROUGH X,Y 396 A3.4 WEIGHTING THE FIT 397 APPENDIX 4 STANDARD
ERRORS IN MEAN, INTERCEPT AND SLOPE 398 A4.1 STANDARD ERROR IN THE MEAN
AND WEIGHTED MEAN 398 A4.2 STANDARD ERROR IN INTERCEPT A AND SLOPE B FOR
A STRAIGHT LINE 399 APPENDIX 5 INTRODUCTION TO MATRICES FOR LEAST
SQUARES ANALYSIS 403 APPENDIX 6 USEFUL FORMULAE 409 ANSWERS TO EXERCISES
AND PROBLEMS 413 REFERENCES 438 INDEX 441
|
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dewey-full | 001.4/22/0285 |
dewey-hundreds | 000 - Computer science, information, general works |
dewey-ones | 001 - Knowledge |
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dewey-search | 001.4/22/0285 |
dewey-sort | 11.4 222 3285 |
dewey-tens | 000 - Computer science, information, general works |
discipline | Allgemeines Informatik |
edition | 1. publ. |
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id | DE-604.BV014398006 |
illustrated | Illustrated |
indexdate | 2024-07-09T19:02:22Z |
institution | BVB |
isbn | 0521797373 0521793378 |
language | English |
lccn | 2001037408 |
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physical | XVII, 446 S. Ill., graph. Darst. |
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publisher | Cambridge Univ. Press |
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spelling | Kirkup, Les 1957- Verfasser (DE-588)1197141391 aut Data analysis with Excel an introduction for physical scientists Les Kirkup 1. publ. Cambridge [u.a.] Cambridge Univ. Press 2002 XVII, 446 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Microsoft Excel (Computer file) Datenverarbeitung Electronic spreadsheets Research Statistical methods Data processing EXCEL (DE-588)4138932-3 gnd rswk-swf Datenanalyse (DE-588)4123037-1 gnd rswk-swf EXCEL (DE-588)4138932-3 s Datenanalyse (DE-588)4123037-1 s DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009853485&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Kirkup, Les 1957- Data analysis with Excel an introduction for physical scientists Microsoft Excel (Computer file) Datenverarbeitung Electronic spreadsheets Research Statistical methods Data processing EXCEL (DE-588)4138932-3 gnd Datenanalyse (DE-588)4123037-1 gnd |
subject_GND | (DE-588)4138932-3 (DE-588)4123037-1 |
title | Data analysis with Excel an introduction for physical scientists |
title_auth | Data analysis with Excel an introduction for physical scientists |
title_exact_search | Data analysis with Excel an introduction for physical scientists |
title_full | Data analysis with Excel an introduction for physical scientists Les Kirkup |
title_fullStr | Data analysis with Excel an introduction for physical scientists Les Kirkup |
title_full_unstemmed | Data analysis with Excel an introduction for physical scientists Les Kirkup |
title_short | Data analysis with Excel |
title_sort | data analysis with excel an introduction for physical scientists |
title_sub | an introduction for physical scientists |
topic | Microsoft Excel (Computer file) Datenverarbeitung Electronic spreadsheets Research Statistical methods Data processing EXCEL (DE-588)4138932-3 gnd Datenanalyse (DE-588)4123037-1 gnd |
topic_facet | Microsoft Excel (Computer file) Datenverarbeitung Electronic spreadsheets Research Statistical methods Data processing EXCEL Datenanalyse |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009853485&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
work_keys_str_mv | AT kirkuples dataanalysiswithexcelanintroductionforphysicalscientists |