College aantekeningen
Quantative methods statistiek + uitleg minitab
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- Universiteit Van Amsterdam (UvA)
Quantative methods statistiek + uitleg minitab
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Samenvatting Quantative MethodsInhoudsopgave
Quantative methods................................................................................................................................ 4
Lecture 1: Introduction, data, describing data, sampling, validity........................................................4
College............................................................................................................................................ 4
Dia 10: Grafiek/ beschrijven categoriale (kwalitatieve data).........................................................5
Dia 10: Grafiek/ beschrijven numerieke (kwantiatieve data)........................................................5
Dia 16:Mean:................................................................................................................................ 5
Dia 16: Variantie.......................................................................................................................... 6
Dia 25: Boxplot in Minitab:........................................................................................................... 6
Dia 34: Sample versus population...............................................................................................7
Dia 42: Normale verdeling:........................................................................................................... 8
Dia 44: Weibull distributions......................................................................................................... 8
Dia 47: Confidence intervals........................................................................................................ 8
Dia 62: sampling error v. measurement error...............................................................................9
Dia 69: Sampling methodes......................................................................................................... 9
Lecture 2: Estimating probabilities...................................................................................................... 9
College............................................................................................................................................ 9
Recap vorig college..................................................................................................................... 9
Dia 1: Verdelingsfuncties........................................................................................................... 10
Dia 18: Hoe bepaal je welke verdeling van toepassing is op je data:.........................................13
Dia 27: Verschil gewone weibull en lognormaal en 3 parameter weibull en lognormaal:...........14
Dia 28: Schatten van waarschijnlijkheden = estimating probabilities.........................................14
Dia 36: Transformeren van data................................................................................................ 15
Dia 39: Box-cox transformatie.................................................................................................... 15
Dia 47, proces capability analysis.............................................................................................. 17
Dia 56: formules om σ (Stdev) voor overall en within te schatten..............................................18
Dia 58: Relaties tussen variabelen............................................................................................. 18
Dia 82: Welk percentage patienten heeft een maximale opnameduur van 10 dagen................19
Lecture 3: Introduction hypothesis testing and ANOVA....................................................................23
College.......................................................................................................................................... 23
Dia 3. Centrale limiet stelling...................................................................................................... 23
dia 13: summary report, CI mean............................................................................................... 24
Dia 16 Hypothese testen............................................................................................................ 25
Dia 22: hypothese testen........................................................................................................... 25
dia 32 hypothese testen: keuze statistische test........................................................................25
ANOVA...................................................................................................................................... 26
Dia 47: R-square........................................................................................................................ 29
Dia 60: test for equal variances.................................................................................................. 32
, Dia 49 ANOVA uitleg tot standkoming P=waarde......................................................................32
Dia 49: MS = mean of squares................................................................................................... 32
Dia 51: Voor het machine en moisture voorbeeld (4 machines, 10 metingen per machine) geldt:
................................................................................................................................................... 33
In Minitab: Analysis of Variance................................................................................................. 34
Dia 62: Kruskal-Wallis................................................................................................................ 34
Dia 66: T test.............................................................................................................................. 34
Dia 72: 2 sample T test for equal variances...............................................................................35
Dia 75: Man Withney test........................................................................................................... 35
Lecture 4: Regression and chi-square test........................................................................................ 36
College.......................................................................................................................................... 36
Draaitabellen in Excel:............................................................................................................... 36
Regressie analyse..................................................................................................................... 36
Dia 15: mathematische achtergrond.......................................................................................... 37
Dia 17 residualen in regressie analyse......................................................................................38
Dia 25: verschillende regressie modellen...................................................................................39
Dia 27 Voorbeeld: caffeine en aantal extracties voor caffeine vrijdag........................................39
Dia 31: nonlineaire regressie analyse........................................................................................ 41
Dia 34 causaliteit v relatie.......................................................................................................... 41
Dia 36 Exercise: flight times of helicopters.................................................................................41
Dia 37 Exercise: picking time..................................................................................................... 41
Logistische regressie..................................................................................................................... 41
Dia 39: Logistische regressie..................................................................................................... 41
Dia 40: holdtime in a call center................................................................................................. 41
Dia 43: regressie kan niet.......................................................................................................... 42
Dia 46: Logistische regressie..................................................................................................... 43
Dia 47: minitab logit................................................................................................................... 43
Dia 51: exercise: Students pass first year..................................................................................43
Chi square test.............................................................................................................................. 44
Dia 57 Chi-square...................................................................................................................... 44
Dia 61 minitab chi square........................................................................................................... 44
Dia 68: cross tabualation door minitab laten maken..................................................................45
Dia 77: smoking en cancer......................................................................................................... 45
Lecture 5: Analysis of historical data................................................................................................. 45
College.......................................................................................................................................... 45
General linear model.................................................................................................................. 47
Dia 14 Opdracht 2: cashcenter.................................................................................................. 48
Dia 17 Make patterned data....................................................................................................... 49
Dia 18 hoeveel personeel op maandag nodig............................................................................51
Dia 19: lack of fit........................................................................................................................ 51
Ook bij GLM Verdeling testen!!!................................................................................................. 52
Dia 21: housing.......................................................................................................................... 52
Dia 23 Minitab: 3 numerieke variabele.......................................................................................52
, Dia 25 Reclaims......................................................................................................................... 53
Dia 28: Fitted means in plot weergeven.....................................................................................53
Dia 30: Credit request................................................................................................................ 53
Dia 31 Relatie voor elke Complexiteit en factor.........................................................................54
Dia 32 Interactie......................................................................................................................... 55
Dia 33: Minitab interaction.......................................................................................................... 55
Dia 37: problems with unplanned data.......................................................................................57
Dia 41: Danger 1: disturbing influences.....................................................................................57
Dia 44: Danger 2: non optimal design:.......................................................................................57
Dia 42: Ethanol dataset.............................................................................................................. 58
Dia 49: sporten en minder cal intake.......................................................................................... 58
Dia 50......................................................................................................................................... 58
Danger 3: interpretatie problemen............................................................................................. 59
Dia 65: Roadmap statistical analysis......................................................................................... 61
Lecture 6: Design and analysis of experiments.................................................................................62
College: opzetten van experimenten............................................................................................. 62
Dia 4: experimentation............................................................................................................... 62
Dia 15: factorial design............................................................................................................... 62
Dia 19: Het verband is daarmee als volgt:.................................................................................63
Dia 21: replication and center point............................................................................................ 63
Dia 22: Simulatie........................................................................................................................ 64
Dia 32: check for Curvature....................................................................................................... 67
Exercise: dia 41: wachttijd.......................................................................................................... 70
Lecture 7: Statistical Process Control............................................................................................... 71
Assignments...................................................................................................................................... 71
Terugkoppeling assignment 1:....................................................................................................... 71
Terugkoppeling assignment 2:....................................................................................................... 72
College Lecture 7.............................................................................................................................. 72
Dia 4-6:...................................................................................................................................... 72
Dia 16: regelkaarten in Minitab.................................................................................................. 73
Dia 18......................................................................................................................................... 74
Dia 21: Dagen toevoegen in Minitab.......................................................................................... 75
Dia 25: Regelkaarten in excel.................................................................................................... 75
Dia 33: climate........................................................................................................................... 76
Oefening Multiple regression en interacgtion.............................................................................77
Index.............................................................................................................................................. 78
, Quantative methods
Topics Literature Exercises
1 - Introduction Chapters 1-5 (see 2.4, 2.8, 2.14, 2.20,
- Data: variables, units, types of data below) 2.24, 2.40, 3.8, 3.10,
- Describing data with graphs and 3.12, 3.32, 3.42, 3.48,
statistics 3.50, 3.52, 3.90, 3.98,
- Sampling 4.2, 4.6, 4.8, 4.10,
- Validity 4.16, 4.32, 4.36, 4.44,
4.50, 4.54, 4.58, 4.66,
4.68, 4.70, 4.76,
exercises in slides
2 - Estimating probabilities: PDF, CDF, Chapters 8-10 (see exercises in slides
probability plots below)
3 - Introduction to hypothesis testing Chapters 11, 12, 13.1, 12.24, 13.8, 13.12,
- T-test 13.2, 13.4, 14.1, 19.3 13.14, 13.16, 13.20,
- ANOVA 13.30, 13.78, 13.80,
13.84, 14.4, 14.6,
14.8, 14.10, 14.12,
14.14, 14.16, 14.18,
exercises in slides
4 - Regression Chapters 15.2, 16 15.22, 15.24, 15.32,
- Chi-square tests 15.34, 16.2, 16.4,
16.8, 16.10, 16.16,
16.20, 16.32, 16.38,
16.82, 16.84, 16.88,
16.90 16.96, 16.100,
16.102, exercises in
slides
5 - Analysis of historical data Chapters 14.5, 17.1, 17.10, 17.12, 17.14,
17.2, 17.3, 18 18.10, 18.20,
exercises in slides
6 - Design and analysis of experiments Article ‘Statistisch exercises in slides
modelleren’
7 - Statistical Process Control Chapters 21.1-21.3, 21.26, 21.30, 21.34,
22 21.38 exercises in
slides practice exam
Lecture 1: Introduction, data, describing data, sampling, validity
- Study Chapters 1-5
- Skip 3.3
- Read 3.4, no examination
- Skip section ‘Determining the number of class intervals’ (pp. 48-50)
- Skip section ‘Stem-and-Leaf Display’ (pp. 57-59)
- Skip section ‘Ogive’ (pp.57-61)
- Learn the Minitab techniques applied in the exercises you did in class
- Learn the techniques applied in the homework exercises
- Skip Chebysheff’s Theorem on page 114 and example 4.10
- Skip section ‘Coefficient of variation’ (p. 115)
- Skip section ‘Locating percentiles’ (pp. 118-120)
- Skip 4.5 and 4.6
- Read 4.7 and 4.8, no examination
- Study slides
College
Minitab
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