Probability and statistics give research governance its measurement discipline: how bibliometric and survey indicators are built, how uncertainty is stated in advice, how selective reporting is detected, and how confident a synthesis can be. In this field they are applied to evidence about research systems, and the indicators carry their construction with them.
Probability and statistics provide the mathematical framework for describing uncertainty and learning from data. They underpin estimation, testing and prediction in every risk discipline. In research and evidence and governance and institutions, statistical methods quantify the likelihood and uncertainty of losses across interconnected systems. They make the evidence behind risk decisions explicit and reproducible. The canonical description is on the STEM Commons.
Building bibliometric indicators
Counts of outputs, co-authorship and retractions are normalised by field, year and output volume, with the errors from author and institution disambiguation estimated and reported beside each indicator.
Detecting selective reporting
Distributions of reported test statistics across a literature are examined for patterns consistent with selective reporting, and outcomes registered in advance are compared with outcomes published.
Calibrated language for uncertainty
Verbal likelihood and confidence scales, such as those in IPCC guidance, are compared with how readers interpret them, to inform how advisers state probability in plain words.
03Monitor
Tail fit.
The screen a team would use to follow this method: its measures, states and decisions. Names are examples and values are illustrative.
Tail fit
Research · Statistics for research governance · Run R-0211
Shape parameter uncertainGRF · Research Nexus
Return level curve
Method card
Method
Probability and statistics
Approach
peaks over threshold
Threshold
90th percentile
Label
MODELLED
Parameters
generalised Pareto fit
Shape ξ
0.27
0.00
0.49
heavy tail if above zero
Scale σ
4.7
1.0
5.8
units of the variable
Exceedances
45
declustered
Tail fit: the screen's structure, terms and states for Research.Example names and illustrative values; a design, not a record or a live system.
04Data
What the method consumes.
Datasets and records used by probability and statistics on this platform, with the role each plays and the label its values carry. Sources are listed in the source register.
Data
Role
Label
OpenAlex and Crossref metadata
Bibliometric counts and citation links
OBSERVED
R&D surveys under the Frascati Manual
Expenditure and personnel series
Published statistics
Trial and study registries
Planned outcomes against reported outcomes
OBSERVED
Surveys of researchers and institutions
Measures of practice and perception
REPORTED
05Policy scenarios
Compare instruments: rules, incentives and information.
Three families of instruments side by side against the baseline, each with its own lag and adoption speed, under the coverage and compliance you set; effect sizes are teaching values to replace with evidence. Scenario: named assumptions about the future, not a forecast.
Controls
Baseline trend of the outcome
2.0% a year
Coverage of the instrument
70%
Compliance
75%
Effect size, against the teaching value
100%
Years ahead
20 years
Readouts
Largest reduction at the horizon
Regulation
Its reduction against the baseline
21%
Numbers, methods and sources
Year
Baseline
Regulation
Economic incentive
Information and capacity
0
100.0
99.5
98.8
99.1
1
102.0
101.2
100.1
99.8
2
104.0
102.5
101.1
99.9
3
106.1
103.5
101.6
100.0
4
108.2
103.7
101.8
100.7
5
110.4
103.2
101.7
102.1
6
112.6
102.0
101.6
103.9
7
114.9
100.4
101.6
105.9
8
117.2
99.2
102.1
108.0
9
119.5
98.6
102.9
110.1
10
121.9
98.9
104.2
112.3
11
124.3
99.7
105.7
114.5
12
126.8
101.1
107.4
116.8
13
129.4
102.7
109.4
119.2
14
131.9
104.5
111.4
121.6
15
134.6
106.5
113.5
124.0
16
137.3
108.5
115.7
126.5
17
140.0
110.7
118.0
129.0
18
142.8
112.9
120.4
131.6
19
145.7
115.1
122.8
134.2
20
148.6
117.4
125.2
136.9
Methods
Tools of government Hood (1983), The Tools of Government, Macmillan
Carrots, sticks and sermons Bemelmans-Videc, Rist and Vedung (1998), Transaction
Diffusion of innovations Rogers (2003), Diffusion of Innovations, Free Press
Uncertainty fan (parameter Monte Carlo) Spiegelhalter, Pearson and Short (2011), Visualising uncertainty about the future, Science 333
One-at-a-time sensitivity (tornado) Saltelli and others (2008), Global Sensitivity Analysis: The Primer, Wiley
Data
The model runs on the teaching values set by the controls. To calibrate it for a place, read it against these admitted layers and series, which this page's map can draw:
Borders Natural Earth
Cities Natural Earth
Compare instruments: rules, incentives and information. Illustrative teaching model: it runs on the values set by the controls, not on measured data. Methods: Tools of government (Hood (1983), The Tools of Government, Macmillan); Carrots, sticks and sermons (Bemelmans-Videc, Rist and Vedung (1998), Transaction); Diffusion of innovations (Rogers (2003), Diffusion of Innovations, Free Press).
Results are checked through diagnostics, cross-validation and sensitivity to assumptions. Independent replication confirms findings.
Check
How it is done
Normalisation stated
Every comparative indicator states its field and time normalisation; raw counts are not compared across fields
Coverage audit
Index coverage by language, region and output type is reported before any comparison is made
Uncertainty reported
Estimates carry intervals from resampling or a stated sampling error
Multiple comparisons
Analyses that test many indicators adjust for multiplicity or say that they did not
Inference depends on assumptions about independence, distribution and sampling that may not hold. Small or biased samples limit reliability.
07Implementation
From mandate to evaluation, by pillar.
The steps an instrument takes from mandate to evaluation, each with the pillar that runs it, and the decisions that stay with the authority. Teaching model with stated illustrative values, not a prediction.
Mandate and problem framingCompetent authority (outside the programme) A competent authority frames the problem and the mandate under its own rules. Howlett, Ramesh and Perl (2009)
Evidence and system modelFoundry The system is modelled with its feedbacks, data and stated limits. OECD (2014), principle 2
Options appraised with scenariosFoundry Instruments are compared under scenarios, with uncertainty shown. Hood (1983)
Exercise with stakeholdersUniverse The options are tested in an exercise with those who would implement and bear them. OECD (2014), principle 3
Standard or guidance draftedNexus Standards What works is codified as a standard or guidance, open to comment. Nexus Standards process
Decision by the authorityCompetent authority (outside the programme) The authority decides, outside the programme, with the evidence on record. Howlett, Ramesh and Perl (2009)
Capacity and trainingRisk Academy Those who implement are trained on the decided instrument and its data. Sendai Framework (2015), priority 2
Monitoring and public reportReports Indicators are published with sources, limits and corrections. OECD (2014), principle 5
Evaluation and revisionNexus Standards Results return to the standard and the model: the cycle closes. Howlett, Ramesh and Perl (2009)
Methods
Policy cycle Howlett, Ramesh and Perl (2009), Studying Public Policy, Oxford University Press
Governance of critical risks OECD (2014), Recommendation of the Council on the Governance of Critical Risks
Layered drawing of directed graphs Sugiyama, Tagawa and Toda (1981), IEEE SMC 11
From mandate to evaluation, by pillar: the steps as recorded, each with its pillar; sources as cited on each step.
How statistics for research governance is governed: instruments, mandates and commitments.
The instruments, mandates, actors and accountability arrangements a policymaker, diplomat or development agency works with, citing the agreements that set them. Structures follow the frameworks named. Any state or progress drawn is illustrative, not a record.
Who holds which role
The actors around statistics for research governance: who decides, who implements, who finances and who brings knowledge and voice.
Illustrative: roles, not named institutions; no position is attributed to anyone. A dialogue fills it with the participants on record.
Sendai Framework for Disaster Risk Reduction · UNDRRParis Agreement · UNFCCC2030 Agenda and the Sustainable Development Goals · United NationsInternational Health Regulations · WHO
10Stewardship
Who maintains the method.
Systems Science and Modelling stewards probability and statistics for the Consortium and reviews how it is applied across platforms.
What are the limits of probability and statistics in this field?
Inference depends on assumptions about independence, distribution and sampling that may not hold. Small or biased samples limit reliability.
How are results checked?
Results are checked through diagnostics, cross-validation and sensitivity to assumptions. Independent replication confirms findings.
Are the values on this page real?
The data names, roles and checks are real descriptions of practice. The canvas shows a design of the method's use, not a run; no result is reported here.
Reports is the Consortium's quarterly publication. What you know about this subject can become evidence, a case or a correction in the next edition, credited to you and published under CC BY 4.0 where it is your own work.
Global Risks ForumResearch NexusEvidence BriefUniverse Annual Synthesis
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Research Nexus
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