Verfügbarkeit: Statistics for engineers | Technische Universität München

Statistics for engineers: an introduction with examples from practice

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Bibliographische Detailangaben
Beteiligte Personen:	Schiefer, Hartmut (VerfasserIn), Schiefer, Felix 1989- (VerfasserIn)
Format:	Buch
Sprache:	Englisch Deutsch
Veröffentlicht:	Wiesbaden, Germany Springer [2021]
Schlagwörter:	Statistik Null hypothesis Standard deviation Test plan Partial Correlation Error calculation Normal distribution Variance Chi-Square Independence Test Significance level Skew Confidence Interval Einführung
Links:	http://deposit.dnb.de/cgi-bin/dokserv?id=ba171499627a46718a9a02494c3d185f&prov=M&dok_var=1&dok_ext=htm http://www.springer.com/ https://d-nb.info/1219924024/04 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=033228620&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Umfang:	xiv, 130 Seiten Illustrationen 24 cm, 311 g
ISBN:	9783658323967 3658323965

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Datensatz im Suchindex

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adam_text	CONTENTS 1 STATISTICAL DESIGN OF EXPERIMENTS (DOE) ........................................................ 1 1.1 DESIGNING EXPERIMENTS .............................................................................. 1 1.1.1 BASIC CONCEPTS .............................................................................. 2 1.1.2 BASIC PRINCIPLES OF EXPERIMENT DESIGN ....................................... 3 1.1.3 CONDUCTING EXPERIMENTS ............................................................... 4 1.2 EXPERIMENT DESIGNS ................................................................................... 7 1.2.1 FULL FACTORIAL EXPERIMENT DESIGNS ............................................... 8 1.2.2 LATIN SQUARES ................................................................................. 10 1.2.3 FRACTIONAL FACTORIAL EXPERIMENT DESIGNS ..................................... 12 1.2.4 FACTORIAL EXPERIMENT DESIGNS WITH A CENTER POINT ..................... 14 1.2.5 CENTRAL COMPOSITE EXPERIMENT DESIGNS ...................................... 15 LITERATURE .............................................................................................................. 20 2 CHARACTERIZING THE SAMPLE AND POPULATION .................................................. 21 2.1 MEAN VALUES ............................................................................................... 22 2.1.1 ARITHMETIC MEAN (AVERAGE) X ....................................................... 22 2.1.2 GEOMETRIC MEAN XQ .......................................................................................... 24 2.1.3 MEDIAN VALUE X Z ............................................................................ 25 2.1.4 MODAL VALUE X D (MODE) ................................................................ 26 2.1.5 HARMONIC MEAN (RECIPROCAL MEAN VALUE) X H ............................ 26 2.1.6 RELATIONS BETWEEN MEAN VALUES .................................................. 26 2.1.7 ROBUST ARITHMETIC MEAN VALUES .................................................. 27 2.1.8 MEAN VALUES FROM MULTIPLE SAMPLES .......................................... 27 2.2 MEASURES OF DISPERSION ............................................................................. 28 2.2.1 RANGED .......................................................................................... 28 2.2.2 VARIANCE S 2 , O 2 (DISPERSION); STANDARD DEVIATION (DISPERSION OF RANDOM SAMPLE) S,O .................................................................... 29 2.2.3 COEFFICIENT OF VARIATION (COEFFICIENT OF VARIABILITY) V ................ 31 2.2.4 SKEWNESS AND EXCESS .................................................................... 31 X CONTENTS 2.3 DISPERSION RANGE AND CONFIDENCE INTERVAL .............................................. 33 2.3.1 DISPERSION RANGE ........................................................................... 34 2.3.2 CONFIDENCE INTERVAL (CONFIDENCE RANGE) ..................................... 35 LITERATURE ............................................................................................................... 38 3 STATISTICAL MEASUREMENT DATA AND PRODUCTION ............................................. 39 3.1 STATISTICAL DATA IN PRODUCTION ..................................................................... 39 3.2 MACHINE CAPABILITY; INVESTIGATING MACHINE CAPABILITY .......................... 41 3.3 PROCESS CAPABILITY; PROCESS CAPABILITY ANALYSIS ..................................... 42 3.4 OPERATING CHARACTERISTIC CURVE; AVERAGE OUTGOING QUALITY .................. 45 LITERATURE ............................................................................................................... 50 4 ERROR ANALYSIS (ERROR CALCULATION) ................................................................ 51 4.1 ERRORS IN MEASURED VALUES ......................................................................... 51 4.1.1 SYSTEMATIC ERRORS ................................................................ 52 4.1.2 RANDOM ERRORS ..................................................................... 53 4.2 ERRORS IN THE MEASUREMENT RESULT ............................................................. 54 4.2.1 ERRORS IN THE MEASUREMENT RESULT DUE TO SYSTEMATIC ERRORS ... 55 4.2.2 ERRORS IN THE MEASUREMENT RESULT DUE TO RANDOM ERRORS .... 59 4.2.3 ERROR LIMITS ......................................................................... 61 LITERATURE ............................................................................................................... 68 5 STATISTICAL TESTS .................................................................................................... 69 5.1 PARAMETER-BOUND STATISTICAL TESTS ............................................................. 69 5.2 HYPOTHESES FOR STATISTICAL TESTS ................................................................. 72 5.3 ETEST ............................................................................................................ 75 5.4 F-TEST ........................................................................................................... 80 5.5 THE CHI-SQUARED TEST / 2 -TEST) ................................................................. 83 5.5.1 CONDITIONS FOR THE CHI-SQUARED TEST ............................................ 83 5.5.2 CHI-SQUARED FIT/DISTRIBUTION TEST ................................................. 85 5.5.3 CHI-SQUARED INDEPENDENCE TEST ................................................... 90 LITERATURE ............................................................................................................... 93 6 CORRELATION ........................................................................................................... 95 6.1 COVARIANCE, EMPIRICAL COVARIANCE ............................................................ 95 6.2 CORRELATION (SAMPLE CORRELATION), EMPIRICAL CORRELATION COEFFICIENT . . 96 6.3 PARTIAL CORRELATION COEFFICIENT, PARTIAL CORRELATION .................................. 97 LITERATURE ............................................................................................................... 98 7 REGRESSION ............................................................................................................ 99 7.1 CAUSE-EFFECT RELATIONSHIP ......................................................................... 99 7.2 LINEAR REGRESSION ....................................................................................... 101 7.3 NONLINEAR REGRESSION (LINEARIZATION) ....................................................... 105 CONTENTS XI 7.4 MULTIPLE LINEAR AND NONLINEAR REGRESSION .............................................. 107 7.5 EXAMPLES OF REGRESSION ............................................................................ 109 LITERATURE .............................................................................................................. 114 APPENDIX ..................................................................................................................... 115 A.L TABLES OF STANDARD NORMAL DISTRIBUTIONS .................................................. 115 A.2 TABLES ON THE /-DISTRIBUTION ...................................................................... 118 A. 3 TABLES ON THE F-DISTRIBUTION .................................................................... 120 A.4 CHI-SQUARED DISTRIBUTION TABLE ............................................................... 123 FURTHER LITERATURE ..................................................................................................... 125 INDEX ............................................................................................................................. 129
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spellingShingle	Schiefer, Hartmut Schiefer, Felix 1989- Statistics for engineers an introduction with examples from practice Statistik (DE-588)4056995-0 gnd
subject_GND	(DE-588)4056995-0 (DE-588)4151278-9
title	Statistics for engineers an introduction with examples from practice
title_alt	Statistik für Ingenieure
title_auth	Statistics for engineers an introduction with examples from practice
title_exact_search	Statistics for engineers an introduction with examples from practice
title_full	Statistics for engineers an introduction with examples from practice Hartmut Schiefer, Felix Schiefer
title_fullStr	Statistics for engineers an introduction with examples from practice Hartmut Schiefer, Felix Schiefer
title_full_unstemmed	Statistics for engineers an introduction with examples from practice Hartmut Schiefer, Felix Schiefer
title_short	Statistics for engineers
title_sort	statistics for engineers an introduction with examples from practice
title_sub	an introduction with examples from practice
topic	Statistik (DE-588)4056995-0 gnd
topic_facet	Statistik Einführung
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