Study 1 · Trust in medical AI

Study 1: humans versus AI

This page sets the two kinds of recommender side by side. Humans are the doctor, nurse, remote doctor, therapist, personal trainer and layperson (six). AI is AI in general, an AI diagnostic tool, an AI chatbot and an AI fitness coach (four). A doctor using AI is a person plus a tool, so it is shown on its own. Each person’s score for a group is the average of their ratings of its recommenders. The doctor-versus-AI comparison in the dissertation (H6, H7, E) is one pair; this is the exploratory version across all of them. It was not preregistered.

The gap

People rated humans higher than AI on all three things. On average, trust was 1.6 points higher for humans (d = 0.70), intuition 1.7 points higher (d = 0.67), and perceived quantitative reasoning 0.8 points higher (d = 0.35), the smallest of the three.

Table 15. Humans versus AI, paired by person

What to look for. The difference and d columns. Humans were rated higher than AI on trust, intuition and quantitative reasoning.

Rating Humans, mean (SD) AI, mean (SD) Difference [95% CI] t (df) p d [95% CI]
Trust6.02 (2.01)4.41 (2.79)1.60 [1.27, 1.94]9.43 (180)< .0010.70 [0.54, 0.86]
Quantitative reasoning5.82 (2.05)5.03 (2.79)0.80 [0.47, 1.12]4.79 (186)< .0010.35 [0.20, 0.50]
Intuition5.98 (2.22)4.23 (2.76)1.74 [1.37, 2.12]9.15 (185)< .0010.67 [0.51, 0.83]

Paired t tests on each person’s average rating. Only people who rated every recommender in both groups are included (181 to 187 of 188). d is the mean difference over the SD of the differences.

Figure 9. Every person, humans against AI

Each outline is how people’s averages are spread, each dot is one person, and the diamond is the group average with its bootstrapped 95% interval. The doctor using AI sits between the two groups on all three.

Trust

Human recommenders (average of 6) 6.0 Doctor using AI 5.7 AI recommenders (average of 4) 4.4 012345678910 Trust, average rating (0 to 10)

Outline: how answers are spread (smoothed). Dots: one person each. Diamond and bar: the average and its bootstrapped 95% interval.

View as a table
MeasurenMean95% interval
Human recommenders (average of 6)1856.05.7 to 6.3
Doctor using AI1875.75.2 to 6.1
AI recommenders (average of 4)1834.44.0 to 4.8

Quantitative reasoning

Human recommenders (average of 6) 5.8 Doctor using AI 5.8 AI recommenders (average of 4) 5.0 012345678910 Quantitative reasoning, average rating (0 to 10)

Outline: how answers are spread (smoothed). Dots: one person each. Diamond and bar: the average and its bootstrapped 95% interval.

View as a table
MeasurenMean95% interval
Human recommenders (average of 6)1885.85.5 to 6.1
Doctor using AI1885.85.4 to 6.2
AI recommenders (average of 4)1875.04.6 to 5.4

Intuition

Human recommenders (average of 6) 6.0 Doctor using AI 5.2 AI recommenders (average of 4) 4.3 012345678910 Intuition, average rating (0 to 10)

Outline: how answers are spread (smoothed). Dots: one person each. Diamond and bar: the average and its bootstrapped 95% interval.

View as a table
MeasurenMean95% interval
Human recommenders (average of 6)1876.05.7 to 6.3
Doctor using AI1885.24.7 to 5.6
AI recommenders (average of 4)1874.33.9 to 4.6

Figure 10. How many people show the gap?

The averages hide the people who go the other way. Counting each person’s own difference: 126 of 181 rated humans higher on trust, 42 rated AI higher, and 13 rated them equal.

Trust: humans versus AI 70% 23% Quantitative reasoning: humans versus AI 56% 35% Intuition: humans versus AI 68% 25%
  • First item rated higher
  • Rated the same
  • Second item rated higher
  • Doctor is blue, AI is coral, wherever they appear
If a doctor using AI is counted differently
Table 16. Other ways to draw the line

What to look for. Humans stay above AI however the doctor using AI is counted. Humans against a doctor using AI differ little on trust and not at all on quantitative reasoning.

Comparison Means (SD) Difference [95% CI] t (df) p d [95% CI]
Trust: humans versus a doctor using AI6.01 (1.99), 5.69 (3.06)0.33 [-0.05, 0.70]1.71 (184).0890.13 [-0.02, 0.27]
Trust: a doctor using AI versus the four AI tools5.69 (3.06), 4.42 (2.77)1.27 [0.92, 1.62]7.17 (182)< .0010.53 [0.37, 0.68]
Trust: humans versus AI, counting a doctor using AI as AI (the notebook’s rule)6.02 (2.01), 4.68 (2.68)1.34 [1.03, 1.66]8.38 (180)< .0010.62 [0.46, 0.78]
Quantitative reasoning: humans versus a doctor using AI5.82 (2.04), 5.78 (2.96)0.04 [-0.31, 0.39]0.22 (187).8260.02 [-0.13, 0.16]
Quantitative reasoning: a doctor using AI versus the four AI tools5.76 (2.95), 5.03 (2.79)0.73 [0.41, 1.05]4.48 (186)< .0010.33 [0.18, 0.47]
Quantitative reasoning: humans versus AI, counting a doctor using AI as AI (the notebook’s rule)5.82 (2.05), 5.17 (2.68)0.65 [0.34, 0.96]4.20 (186)< .0010.31 [0.16, 0.45]
Intuition: humans versus a doctor using AI5.98 (2.21), 5.14 (3.15)0.83 [0.46, 1.20]4.40 (186)< .0010.32 [0.17, 0.47]
Intuition: a doctor using AI versus the four AI tools5.14 (3.15), 4.25 (2.76)0.90 [0.50, 1.30]4.40 (186)< .0010.32 [0.17, 0.47]
Intuition: humans versus AI, counting a doctor using AI as AI (the notebook’s rule)5.98 (2.22), 4.41 (2.61)1.56 [1.23, 1.90]9.11 (185)< .0010.67 [0.51, 0.83]

The same paired tests with the doctor using AI shown on its own, compared with each group, or counted as AI as the notebook does. The conclusion does not change.

Recommender by recommender

The groups are not uniform. The doctor is trusted most and the layperson about as little as the AI tools. The gap is widest against the doctor and the nurse, and nearly closes against the layperson. The four AI tools are close to one another.

Figure 11. Each recommender on all three ratings

Each row is a recommender, with one panel each for trust, intuition and quantitative reasoning. The dot is the average rating, with a bar for the 95% interval.

Trust 345678 Average rating, 0 to 10 Quantitative reasoning 345678 Average rating, 0 to 10 Intuition 345678 Average rating, 0 to 10 Human recommenders Doctor Nurse Doctor, remote visit Therapist Personal trainer Layperson Human with AI Doctor using AI AI recommenders AI, general AI diagnostic tool AI fitness coach AI chatbot
View as a table
Recommender Trust: average [95% interval]Quantitative reasoning: average [95% interval]Intuition: average [95% interval]
Doctor 7.5 [7.1, 7.8]7.2 [6.8, 7.6]6.7 [6.3, 7.2]
Nurse 6.8 [6.5, 7.2]6.4 [6.0, 6.8]6.5 [6.2, 6.9]
Doctor, remote visit 6.1 [5.7, 6.5]6.0 [5.5, 6.4]6.0 [5.6, 6.5]
Therapist 6.0 [5.6, 6.4]5.9 [5.5, 6.3]6.2 [5.8, 6.6]
Personal trainer 5.3 [4.9, 5.7]5.0 [4.7, 5.4]5.4 [5.0, 5.8]
Layperson 4.3 [3.9, 4.8]4.4 [3.9, 4.8]4.9 [4.5, 5.4]
Doctor using AI 5.7 [5.2, 6.1]5.8 [5.4, 6.2]5.2 [4.7, 5.6]
AI, general 4.7 [4.2, 5.1]5.2 [4.7, 5.7]4.5 [4.1, 4.9]
AI diagnostic tool 4.4 [4.0, 4.9]5.2 [4.7, 5.6]4.3 [3.9, 4.8]
AI fitness coach 4.3 [3.9, 4.8]4.8 [4.4, 5.3]4.0 [3.6, 4.5]
AI chatbot 4.3 [3.8, 4.7]4.8 [4.4, 5.3]4.2 [3.7, 4.6]

Dots are averages and bars are 95% confidence intervals. Blue is human, coral is AI, grey is a doctor using AI.

Who shows the gap?

The gap points the same way in every group of people shown for trust and intuition, but its size varies. In this sample it is largest among people aged 60 and over, among White participants compared with Black participants, and among people with little experience of AI. It does not differ much by education or political views.

Figure 13. The gap, group by group

Each row is a group of people. The dot is the average human-minus-AI gap in that group, with a bar for the 95% interval; the right panel gives the gap in standard deviations (Cohen's d), which can be read against the Funder and Ozer small (0.20), medium (0.41) and large (0.63).

Trust −101234 Humans minus AI Quantitative reasoning −101234 Humans minus AI Intuition −101234 Humans minus AI Age 18-29 n = 55 30-44 n = 51 45-59 n = 42 60+ n = 39 Gender Woman n = 113 Man n = 74 Race White n = 122 Black n = 44 Education No college degree n = 116 College degree or more n = 72 Political views Liberal n = 58 Moderate n = 74 Conservative n = 56 Experience with AI None or a little n = 119 Moderate or more n = 69
View as a table
Group Trust: average gap [95% interval]Quantitative reasoning: average gap [95% interval]Intuition: average gap [95% interval]
18-29 (n = 55) 1.3 [0.7, 1.9]0.5 [−0.1, 1.0]1.1 [0.5, 1.7]
30-44 (n = 51) 1.1 [0.4, 1.8]0.7 [−0.1, 1.5]1.9 [1.1, 2.7]
45-59 (n = 42) 1.6 [0.9, 2.4]0.6 [0.0, 1.1]1.6 [0.8, 2.4]
60+ (n = 39) 2.7 [2.1, 3.3]1.7 [1.0, 2.4]2.6 [1.8, 3.5]
Woman (n = 113) 1.9 [1.4, 2.3]0.9 [0.5, 1.3]2.0 [1.5, 2.5]
Man (n = 74) 1.2 [0.7, 1.7]0.6 [0.1, 1.1]1.4 [0.8, 1.9]
White (n = 122) 1.9 [1.5, 2.4]0.9 [0.5, 1.4]2.1 [1.6, 2.6]
Black (n = 44) 0.6 [0.1, 1.1]0.2 [−0.4, 0.7]0.8 [0.2, 1.4]
No college degree (n = 116) 1.6 [1.2, 2.1]1.0 [0.5, 1.4]1.8 [1.3, 2.3]
College degree or more (n = 72) 1.5 [1.0, 2.0]0.5 [0.0, 1.0]1.6 [1.0, 2.2]
Liberal (n = 58) 1.6 [1.0, 2.1]0.8 [0.2, 1.4]1.9 [1.1, 2.7]
Moderate (n = 74) 1.4 [0.9, 1.9]0.9 [0.3, 1.4]1.6 [1.0, 2.1]
Conservative (n = 56) 1.9 [1.2, 2.7]0.7 [0.1, 1.3]1.8 [1.1, 2.5]
None or a little (n = 119) 2.1 [1.6, 2.5]1.1 [0.7, 1.6]2.2 [1.7, 2.7]
Moderate or more (n = 69) 0.8 [0.3, 1.2]0.2 [−0.2, 0.6]0.9 [0.5, 1.4]

Each dot is the average gap (human minus AI) for the people in that group, with its 95% confidence interval. Groups under 10 people are not shown, and race is shown only for groups of 30 or more. The tests ask whether the gap differs between the groups shown; they are exploratory and not corrected for the 18 comparisons.

Table 19. Does the gap differ between groups?

What to look for. For trust, age, race and experience with AI show p values below .05; gender, education and political views do not. Treat single small p values as leads, since 18 tests were run.

Compared by Groups Trust Quantitative reasoning Intuition
Age18-29, 30-44, 45-59, 60+F = 4.18, p .007F = 2.51, p .061F = 2.87, p .038
GenderWoman, Mant = −1.96, p .051t = −0.89, p .373t = −1.75, p .082
RaceWhite, Blackt = 3.39, p < .001t = 1.97, p .051t = 2.72, p .007
EducationNo college degree, College degree or moret = −0.30, p .763t = −1.38, p .169t = −0.59, p .555
Political viewsLiberal, Moderate, ConservativeF = 0.89, p .412F = 0.09, p .913F = 0.32, p .729
Experience with AINone or a little, Moderate or moret = 3.90, p < .001t = 2.59, p .010t = 3.26, p .001

t tests for two groups and one-way F tests for more. Exploratory, and not adjusted for running 18 tests, so treat a single small p as a lead, not a finding. The groups overlap (for example, older people and people with less AI experience), so this does not say which characteristic matters.

What goes with trust, for humans and for AI

For humans, perceived quantitative reasoning is the stronger partner of trust. For AI, it is perceived intuition. Letting the two slopes differ by recommender type improves the model (Table 13 on the full analysis page: χ² = 20.21, p < .001).

Table 20. Trust predicted from the other two ratings, humans and AI

What to look for. The coefficients for humans and for AI. Compare which rating carries more weight in each group.

Predictor Humans, b [95% CI] AI, b [95% CI]
Quantitative reasoning0.45 [0.40, 0.49]0.27 [0.21, 0.33]
Intuition0.35 [0.30, 0.41]0.43 [0.37, 0.49]

Mixed models with a random intercept for each person, fitted separately to the human and AI recommenders (the doctor using AI counts as AI, as in the notebook). b is the change in trust for one more point on the predictor, holding the other predictor fixed.

Figure 14. Predicted trust, humans and AI

Each line shows predicted trust as a rating rises, for human recommenders and for AI. Steeper means that rating goes with trust more strongly.

Human recommenders Quantitative reasoning: +0.45 per point Intuition: +0.35 per point 0246810 Rating of the recommender (0 to 10) AI recommenders Quantitative reasoning: +0.27 per point Intuition: +0.43 per point 0246810 Rating of the recommender (0 to 10) 0246810 Predicted trust (0 to 10)
  • Quantitative reasoning
  • Intuition
  • The other rating is held at its average. Bands are 95% confidence intervals.

Predicted trust from the AI-only and human-only models, with the other rating held at its average. Bands are 95% confidence intervals for the fixed effects.