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Results of an experiment to test the effects of different formats of communication of indirect uncertainty around the COVID-19 R number on a public audience

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This experiment was given ethical approval by the University of Cambridge’s Psychology Research Ethics Committee (PRE.2023.087)

UK-based Participants were recruited via the platform Prolific.com using their ‘representative sample’ option to give a participant pool representative of the UK’s population on the basis of age (5 brackets), sex (2 groups) and ethnicity (5 groups). Prolific state that they use the UK census to create the appropriately sized subgroups. The questionnaire itself was hosted on Qualtrics.

A total of 1497 participants provided informed consent and completed the survey. As preregistered in the Method, 28 participants (1.9%) failing an attention check ('please select 'slightly worried' for this question') were removed, resulting in a final sample of N = 1469. In this final sample, gender was relatively balanced (50.8% women, 47.3% men, and 1.9% identifying as non-binary or other. The mean age was 45.1 years (SD = 15.6), and 57.1% held a Bachelor's degree or higher.

Sample characteristics

Category

Response

n

%

Gender

Women

746

50.8

Men

695

47.3

Other

28

1.9

Education

No qualification

9

0.6

Primary school

2

0.1

GCSE / O-Level / BTEC NVQ Level 2

222

15.1

A-Level / International Baccalaureate / BTEC NVQ Level 3

246

16.8

Higher National Certificates and Diplomas / Other vocational

144

9.8

Bachelor's degree or equivalent

552

37.6

Master's degree / Postgraduate qualification

248

16.9

Doctoral degree

39

2.7

Prefer not to say

5

0.3

The median completion time for the experiment was 13.19 minutes, and participants were paid £7.16 per hour pro rata.

The survey contained 2 experiments. Participants were first given text explaining what R was and who SPI-M was (being made up of several independent experts). In the first experiment after that, participants were randomly assigned to one of five conditions in which they read three similar statements about the R number reported by SPI-M, presented as a range. The conditions are summarised in the table below.

Format

Content

n

1. Control

No additional information

291

2. Stated consensus

R range is presented as consensus of SPI-M

291

3. Highly likely

R range described as ‘highly likely’

296

4. Little consensus

Notes there is ‘little consensus’ over the number

293

5. High consensus

Notes there is ‘high consensus’

298

The control condition (1.) is shown with additions comprising other conditions in brackets:

The SPI-M group report that this week [2: their consensus is that] the overall reproduction number, R, of Covid-19 is [3: highly likely to be] between X and Y. [they state that there is [4: little] [5: high] consensus on this.].

Each participant rated three statements (random order), where the X-Y range is: 1.4-1.6, 0.9-1.1, and 0.4-0.6.

After each statement, participants were asked 10 questions, with responses captured on 0-100 sliding scale:

Variable label

Item text

Scale anchors

0-100

Perceived risk

How risky does this R number make the COVID-19 situation feel to you?

Very low risk

Very high risk

Perceived likelihood of upper limit

How likely do you think it is that the value of R is [upper limit]?

Not at all likely

Very likely

Perceived likelihood Covid-19 increasing

How likely do you think it is that Covid-19 is currently increasing, given this information?

Not at all likely

Very likely

Perceived R certainty

How certain or uncertain do you think the R number is?

Not at all certain

Very certain

Surprise if above range

How surprised would you be if the value of R actually turned out to be [0.2 above range]?

Not at all surprised

Very surprised

Surprise if range midpoint

How surprised would you be if the value of R actually turned out to be [range midpoint]?

Not at all surprised

Very surprised

Surprise if below range

How surprised would you be if the value of R actually turned out to be [0.2 below range]?

Not at all surprised

Very surprised

Trustworthiness

How trustworthy do you think the information is?

Not at all trustworthy

Very trustworthy

Effort required

How much effort did you have to put in to understand the information?

No effort at all

A lot of effort

Informedness

How well informed does the statement make you feel about the Covid-19 situation?

Not very informed

Very informed

In the second experiment, participants were randomly assigned to one of three conditions in which they were presented a graphical representation of the R number as a ‘combined consensus’ interval with range [X-Y](based on several different models).

Format

Content

n

No Uncertainty

Only consensus interval displayed

485

Low QoE

Consensus interval displayed along side intervals for each model, with high variability

489

High QoE

Consensus interval displayed along side intervals for each model, with low variability

495

Participants rated two R graphs each (in random order), where the X and Y range was 1.4-1.6 and 0.4-0.6. Participants were asked questions identical to Experiment 1.

The full dataset and questionnaire can be found in the OSF repository: https://osf.io/ypf6c/.

Ethical statement

The results in this publication involved human or animal subjects.

University of Cambridge’s Psychology Research Ethics Committee (PRE.2023.087)

Data permissions statement

The results in this publication does not involve access to materials owned or copyrighted materials (except those in the private ownership of the authors).

Data access statement

The full dataset and questionnaire can be found in the OSF repository: https://osf.io/ypf6c/

Funders

This Results has the following sources of funding:

This study would not have been possible without support from the Expertise Under Pressure research project, based at the Centre for Research in the Arts, Social Sciences and Humanities at the University of Cambridge. We are grateful to THE NEW INSTITUTE for its generous funding of Expertise Under Pressure.

Conflict of interest

This Results does not have any specified conflicts of interest.