SAMENVATTING MOORE, MACCABE & CRAIG HOOFDSTUK 3-7
Inhoudsopgave
Hoofdstuk 3 Sources of Data.................................................................................. 2
3.1 Sources of data............................................................................................. 2
3.2 Design of experiments.................................................................................. 3
Comparative experiments................................................................................ 3
Randomization................................................................................................. 3
Randomized comparative experiments............................................................3
Principles of experimental design....................................................................3
Block designs................................................................................................... 4
3.3 Sampling design............................................................................................ 4
3.4 Toward Statistical Inference..........................................................................5
3.5 Ethics............................................................................................................ 6
Basic data ethics:............................................................................................. 6
Moeilijkheden bij gedragsstudies.....................................................................6
Hoofdstuk 4: Probability, The Study of randomness...............................................8
4.1 Randomness.................................................................................................. 8
4.2 Probability Models......................................................................................... 8
Rekenregels:........................................................................................................ 8
4.3 Random variables......................................................................................... 9
Normale verdeling............................................................................................ 9
4.4 Means and Variances of Random Variables...................................................9
4.5 General Probability Rules............................................................................ 10
General multiplication rule............................................................................. 11
Boomdiagrammen.......................................................................................... 11
Baye’s Rules................................................................................................... 11
Hoofdstuk 5 Sampling distributions......................................................................12
5.1 The sampling distribution of a Sample Mean..............................................12
Sample mean................................................................................................. 12
The central limit theorem............................................................................... 12
5.2 Sampling Distributions for Counts and Proportions.....................................13
Binomiale verdeling....................................................................................... 13
Normale benadering voor aantallen en proporties.........................................14
Continuïteitscorrectie..................................................................................... 14
Binomiale formule.......................................................................................... 14
The poisson distribution................................................................................. 14
Hoofdstak 6 Introduction to Inference..................................................................16
1 | Pagina
, SAMENVATTING MOORE, MACCABE & CRAIG HOOFDSTUK 3-7
6.1 Estimating with confidence.........................................................................16
6.2 Tests of Significance.................................................................................... 17
Stating hypothesis......................................................................................... 17
Test statistics................................................................................................. 17
P-Values.......................................................................................................... 17
Statistical significance................................................................................... 17
Test for a population mean............................................................................. 18
Two – sided significance test and confidence intervals..................................18
The P- value versus a statement of significance............................................18
6.3 Use and abuse of Tests................................................................................ 18
Choosing a level of significance.....................................................................18
6.4 Power and Inference as a Decision..............................................................19
Power............................................................................................................. 19
Inference as a decision.................................................................................. 19
Error probabilities........................................................................................... 20
Hoofdstuk 7 Inference for the mean of a Population............................................21
Matched pairs t procedures............................................................................21
Robustness of the t procedures......................................................................22
7.2 Comparing two means................................................................................ 22
The two-sample z statistic............................................................................. 22
The two-sample t procedures.........................................................................22
The two-sample t confidence interval............................................................23
The two-sample t significance test.................................................................23
Robustness of the two-sample procedures.....................................................23
2 | Pagina
Inhoudsopgave
Hoofdstuk 3 Sources of Data.................................................................................. 2
3.1 Sources of data............................................................................................. 2
3.2 Design of experiments.................................................................................. 3
Comparative experiments................................................................................ 3
Randomization................................................................................................. 3
Randomized comparative experiments............................................................3
Principles of experimental design....................................................................3
Block designs................................................................................................... 4
3.3 Sampling design............................................................................................ 4
3.4 Toward Statistical Inference..........................................................................5
3.5 Ethics............................................................................................................ 6
Basic data ethics:............................................................................................. 6
Moeilijkheden bij gedragsstudies.....................................................................6
Hoofdstuk 4: Probability, The Study of randomness...............................................8
4.1 Randomness.................................................................................................. 8
4.2 Probability Models......................................................................................... 8
Rekenregels:........................................................................................................ 8
4.3 Random variables......................................................................................... 9
Normale verdeling............................................................................................ 9
4.4 Means and Variances of Random Variables...................................................9
4.5 General Probability Rules............................................................................ 10
General multiplication rule............................................................................. 11
Boomdiagrammen.......................................................................................... 11
Baye’s Rules................................................................................................... 11
Hoofdstuk 5 Sampling distributions......................................................................12
5.1 The sampling distribution of a Sample Mean..............................................12
Sample mean................................................................................................. 12
The central limit theorem............................................................................... 12
5.2 Sampling Distributions for Counts and Proportions.....................................13
Binomiale verdeling....................................................................................... 13
Normale benadering voor aantallen en proporties.........................................14
Continuïteitscorrectie..................................................................................... 14
Binomiale formule.......................................................................................... 14
The poisson distribution................................................................................. 14
Hoofdstak 6 Introduction to Inference..................................................................16
1 | Pagina
, SAMENVATTING MOORE, MACCABE & CRAIG HOOFDSTUK 3-7
6.1 Estimating with confidence.........................................................................16
6.2 Tests of Significance.................................................................................... 17
Stating hypothesis......................................................................................... 17
Test statistics................................................................................................. 17
P-Values.......................................................................................................... 17
Statistical significance................................................................................... 17
Test for a population mean............................................................................. 18
Two – sided significance test and confidence intervals..................................18
The P- value versus a statement of significance............................................18
6.3 Use and abuse of Tests................................................................................ 18
Choosing a level of significance.....................................................................18
6.4 Power and Inference as a Decision..............................................................19
Power............................................................................................................. 19
Inference as a decision.................................................................................. 19
Error probabilities........................................................................................... 20
Hoofdstuk 7 Inference for the mean of a Population............................................21
Matched pairs t procedures............................................................................21
Robustness of the t procedures......................................................................22
7.2 Comparing two means................................................................................ 22
The two-sample z statistic............................................................................. 22
The two-sample t procedures.........................................................................22
The two-sample t confidence interval............................................................23
The two-sample t significance test.................................................................23
Robustness of the two-sample procedures.....................................................23
2 | Pagina
