Aantekeningen Statistics
2020-2021
Inhoud
1: Algemene informatie..........................................................................................................................2
1.1 Begrippen.....................................................................................................................................2
1.2 Overzicht parameters...................................................................................................................2
1.3 Reorderpoint................................................................................................................................3
1.4 Skewness......................................................................................................................................3
1.5 Sample size...................................................................................................................................4
1.6 Quartiles.......................................................................................................................................5
1.7 Calculating Mean, variance and standard deviation.....................................................................7
2: Probabilities........................................................................................................................................8
2.1 Binominal probabilities.................................................................................................................8
2.2 Joint probability............................................................................................................................9
2.3 Probability tree...........................................................................................................................14
3. Normal distribution..........................................................................................................................15
3.1 Z-test...........................................................................................................................................15
3.1.1 Comparing two means (sampling distribution)....................................................................15
3.1.2. Single Z-test (normal)..........................................................................................................16
3.1.3 Z-test for proportion............................................................................................................18
3.2 T-Test..........................................................................................................................................19
3.2.1 Single T-test.........................................................................................................................19
3.2.2. Paired (matched pairs) T-test..............................................................................................21
3.2.3. Independent paired T-test (first F-test)..............................................................................22
3.2.4. F-Test..................................................................................................................................24
3.3 Chi-squared.............................................................................................................................33
3.3.1 Chi-squared Goodness of fit test..........................................................................................34
3.3.2 Chi-squared contingency table............................................................................................35
3.4 Regression..................................................................................................................................36
3.4.1. Analysis...............................................................................................................................36
3.4.2. Simple linear regression......................................................................................................38
3.4.3 Multiple linear regression........................................................................................................40
4: Nonnormal distribution....................................................................................................................45
4.1. Matched pairs............................................................................................................................47
4.1.1. Sign test..............................................................................................................................47
, 4.1.2. Wilcoxon signed rank sum test...........................................................................................49
4.2 Independent sample pairs..........................................................................................................51
4.2.1 Wilcoxon ranked test...........................................................................................................51
4.2.2. Spearman rank correlation coefficient................................................................................56
4.2.3. Pearson...............................................................................................................................60
1: Algemene informatie
1.1Begrippen
1.2Overzicht parameters
,1.3Reorderpoint
1.4Skewness
,1.5Sample size
,1.6Quartiles
,
,1.7Calculating Mean, variance and standard deviation
,2: Probabilities
2.1 Binominal probabilities
,2.2 Joint probability
Conditional prob.
, Marginal prob.
2020-2021
Inhoud
1: Algemene informatie..........................................................................................................................2
1.1 Begrippen.....................................................................................................................................2
1.2 Overzicht parameters...................................................................................................................2
1.3 Reorderpoint................................................................................................................................3
1.4 Skewness......................................................................................................................................3
1.5 Sample size...................................................................................................................................4
1.6 Quartiles.......................................................................................................................................5
1.7 Calculating Mean, variance and standard deviation.....................................................................7
2: Probabilities........................................................................................................................................8
2.1 Binominal probabilities.................................................................................................................8
2.2 Joint probability............................................................................................................................9
2.3 Probability tree...........................................................................................................................14
3. Normal distribution..........................................................................................................................15
3.1 Z-test...........................................................................................................................................15
3.1.1 Comparing two means (sampling distribution)....................................................................15
3.1.2. Single Z-test (normal)..........................................................................................................16
3.1.3 Z-test for proportion............................................................................................................18
3.2 T-Test..........................................................................................................................................19
3.2.1 Single T-test.........................................................................................................................19
3.2.2. Paired (matched pairs) T-test..............................................................................................21
3.2.3. Independent paired T-test (first F-test)..............................................................................22
3.2.4. F-Test..................................................................................................................................24
3.3 Chi-squared.............................................................................................................................33
3.3.1 Chi-squared Goodness of fit test..........................................................................................34
3.3.2 Chi-squared contingency table............................................................................................35
3.4 Regression..................................................................................................................................36
3.4.1. Analysis...............................................................................................................................36
3.4.2. Simple linear regression......................................................................................................38
3.4.3 Multiple linear regression........................................................................................................40
4: Nonnormal distribution....................................................................................................................45
4.1. Matched pairs............................................................................................................................47
4.1.1. Sign test..............................................................................................................................47
, 4.1.2. Wilcoxon signed rank sum test...........................................................................................49
4.2 Independent sample pairs..........................................................................................................51
4.2.1 Wilcoxon ranked test...........................................................................................................51
4.2.2. Spearman rank correlation coefficient................................................................................56
4.2.3. Pearson...............................................................................................................................60
1: Algemene informatie
1.1Begrippen
1.2Overzicht parameters
,1.3Reorderpoint
1.4Skewness
,1.5Sample size
,1.6Quartiles
,
,1.7Calculating Mean, variance and standard deviation
,2: Probabilities
2.1 Binominal probabilities
,2.2 Joint probability
Conditional prob.
, Marginal prob.
