Quality Management in the Bosch Group
- Basic Concepts of Technical Statistics Continuous Characteristics
Table of contents
Introduction 5
- Terms ..6
2.1 Characteristic ..6
2.2 Population .7
2.3 Sample .8
2.4 Random variable 8
2.5 Probability ..10
3 Statistical Measures 13
3.1 Median..13
3.2 Arithmetic mean .15
3.3 Moving average ..16
3.4 Geometric mean .17
3.5 Harmonic mean18
3.6 Standard deviation.19
3.7 Variation coefficient .21
3.8 Range .22
3.9 Range method to determine the standard deviation ..22
4 Statistical calculations in EXCEL .24
5 Graphical display of data ..27
5.1 Original value chart 27
5.2 Tally chart, dot diagram .28
5.3 Grouping, histogram .28
5.4 Cumulative curve .32
Statistical distributions..34 6.1 Gaussian normal distribution ..34
6.1.1 Properties and measures of the normal distribution .35
6.1.2 Distribution function .37
6.1.3 Standard normal distribution39
6.2 The normal probability plot .41
6.3 Lognormal distribution.48
6.3.1 Lognormal probability plot .50
6.3.2 Relationship between normal distribution and lognormal distribution ..53
6.4 Mixture distributions ..54
7 Quality control charts.56 7.1 Location control charts ..56
7.1.1 Mean chart ..57
7.1.2 Original value chart (x-chart) 59
7.2 Variation control charts .60
7.2.1 s-chart .61
7.2.2 R-chart.62
8 Evaluating frequency distributions in connection with a tolerance ..63
9 Accuracy of estimating mean and standard deviation ..66
10 Standard normal distribution.68
11 References.72
12 Symbols and terms .73
Index.75
11 References
[1] Brochure: Elementary Quality Assurance Tools (C/QMM)
[2] M. Sadowy: Industrielle Statistik, Vogel-Verlag, Würzburg, 1970
[3] Erwin Kreyszig: Statistische Methoden und ihre Anwendungen, Vandenhoeck u. Ruprecht, Göttingen, 1988
[4] H. Weber: Einführung in die Wahrscheinlichkeitsrechnung und Statistik für Ingenieure, Teubner, Stuttgart, 1988
[5] Karl Bosch: Elementare Einführung in die Wahrscheinlichkeitsrechnung, Vieweg, Braunschweig, 1989
[6] Karl Bosch: Elementare Einführung in die angewandte Statistik, Vieweg, Braunschweig, 1989
[7] F. Barth, H. Berghold, R. Haller: Stochastik (Grundkurs, Leistungskurs), Ehrenwirth, München, 1992
[8] G. Wagner und R. Lang: Statistische Auswertung von Meß- und Prüfergebnissen, Hrsg.: Deutsche Gesellschaft für Qualität e. V., DGQ 14, 1976
[9] Graf, Henning, Stange, Wilrich: Formeln und Tabellen der angewandten mathematischen Statistik, Springer-Verlag, Berlin, 1987
[10] Lothar Sachs: Angewandte Statistik, Springer-Verlag, Berlin, 1992
[11] Hartung: Statistik, Oldenbourg, München, 1989
参考資料
Quality Management in the Bosch Group
ボッシュ自動車ハンドブック11版 一覧（新）
文書履歴(document history)
ver. 0.01 初稿 20230217
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