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Summary Statistical terms and definitions (0HV110)

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This document contains an overview of all statistical terms used in the 0HV110 course part 2 (by Daniël Lakens) including their definitions, and some extra explanation. Learning this summary gives a good preparation for the exam. It is ordered by week, and based on the provided video lectures. Furthermore, this document is useful for all students and scientists who want to gain better understanding in statistical concepts. Pro-tip: buy my 0HV110 bundle for a discount on the documents!

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October 28, 2020
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Written in
2020/2021
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Contents
Week 1 – Introduction + Frequentist statistics......................................................................................4
Frequentist statistics..........................................................................................................................4
Likelihood statistics............................................................................................................................4
Bayesian statistics..............................................................................................................................4
p-values.............................................................................................................................................4
Error rates..........................................................................................................................................4
Type 1 errors......................................................................................................................................4
Type 2 errors......................................................................................................................................5
Week 2 – Likelihoods & Bayesian statistics............................................................................................6
Likelihood ratio..................................................................................................................................6
Binomial likelihood function..............................................................................................................6
Binomial Bayesian inference..............................................................................................................6
Beta distributions in Bayesian statistics.............................................................................................6
Bayes factor.......................................................................................................................................6
Bayesian estimation...........................................................................................................................6
Nomogram.........................................................................................................................................7
Week 3 – Error control..........................................................................................................................8
Type 1 error in multiple testing.........................................................................................................8
Bonferroni correction....................................................................................................................8
Familywise error rate.....................................................................................................................8
Pre-registration..............................................................................................................................8
Holm correlation............................................................................................................................8
Type 1 error in optional stopping......................................................................................................8
Sequential analysis.........................................................................................................................8
Type 2 error and power.....................................................................................................................8
Pre-registration content....................................................................................................................9
Benefits of pre-registration............................................................................................................9
HARKing.............................................................................................................................................9
Confirmatory research.......................................................................................................................9
Week 4 – Effect sizes...........................................................................................................................10
Goals/ uses of effect sizes................................................................................................................10
Unstandardized effect sizes.............................................................................................................10
Standardized effect sizes.................................................................................................................10
r family of effect sizes / correlations................................................................................................10

, d family of effect sizes / Cohens’ d..................................................................................................10
dz.................................................................................................................................................11
ds.................................................................................................................................................11
dav...............................................................................................................................................11
Hedges’ g.....................................................................................................................................11
Variance in data explained by an effect...........................................................................................11
Total variance explained by an effect..........................................................................................11
Partial variance............................................................................................................................11
Cohens’ f......................................................................................................................................12
Generalized eta-squared..............................................................................................................12
Week 5 – Sample size justification, confidence intervals, p-curve analysis.........................................13
Confidence intervals........................................................................................................................13
Confidence interval calculation....................................................................................................13
Capture percentage.........................................................................................................................13
Credible intervals.............................................................................................................................13
Sample sizes.....................................................................................................................................13
Sample size justifications.............................................................................................................13
Small sample size problems.........................................................................................................13
Corridor of stability (Schönbrodt and Perugini)...........................................................................13
Sample size justification approaches...........................................................................................13
p-value distribution.........................................................................................................................14
p-curve analysis...............................................................................................................................14
Week 6 – Philosophy of science and theory........................................................................................15
Demarcation criteria........................................................................................................................15
Modus tollens..................................................................................................................................15
Affirming the consequent................................................................................................................15
Refutation or falsification of a theory..............................................................................................15
Alternative theory............................................................................................................................15
Progressive vs degenerative research line (Lakatos)........................................................................15
Objectivity of science.......................................................................................................................15
Criticism on null hypothesis testing.................................................................................................16
Random assignment vs measured variables....................................................................................16
Crud factor.......................................................................................................................................16
George Box on NHST........................................................................................................................16
Strong inference..............................................................................................................................16
Falsification of a theory...................................................................................................................16

, Scientific theory...............................................................................................................................16
Scientific cycle stages (Fiedler)........................................................................................................16
Loosening stage...........................................................................................................................16
Tightening stage...........................................................................................................................16
Week 7 – Open science & ethical code of conduct..............................................................................17
Replication study.............................................................................................................................17
Direct replication.............................................................................................................................17
Theoretical reproduction / conceptual replication..........................................................................17
Troubling trio (Lindley)....................................................................................................................17
Metadata studies.............................................................................................................................17
Replication and extension study......................................................................................................17
Publication bias................................................................................................................................17
Quantitative science and publication bias.......................................................................................17
Meta-analysis and publication bias..................................................................................................18
Trim and fail analysis...................................................................................................................18
Commutative meta-analysis........................................................................................................18
Failsafe N – not usable.................................................................................................................18
Meta-regression techniques........................................................................................................18
Open science...................................................................................................................................18
Gold open access.............................................................................................................................18
Green open access...........................................................................................................................18
Sci-hub.............................................................................................................................................18
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