Problems in assessing rates of infection with methicillin resistant Staphylococcus aureus
BMJ 2005; 331 doi: https://doi.org/10.1136/bmj.331.7523.1013 (Published 27 October 2005) Cite this as: BMJ 2005;331:1013
Data supplement
Published as supplied by the author
Table 1 Chance of Type I and Type II errors for three strategies for assessing whether a target has been met for an median trust with 32 expected cases of MRSA per year, both with and without adjustment of the criterion for over-dispersion illustrated with a 20% reduction (the target each year) and 50% reduction (the overall target over 3 years)
"Errors"
Target: 20% reduction
Target: 50% reduction
Type I: Chance (%) of wrongly stating target has been met, when truly no reduction
Type II: Chance (%) of wrongly stating target has not been met when it truly has
Type I: Chance (%) of wrongly stating target has been met, when truly no reduction
Type II: Chance (%) of wrongly stating target has not been met, when it truly has
Criteria adjusted for over-dispersion?
No
Yes
No
Yes
No
Yes
No
Yes
Criterion 1. "Significant reduction"
7
2.5
77
89
7
2.5
30
46
Criterion 2. "Meet target"
25
25
50
50
2
2
50
50
Criterion 3. "Compatible with target"
81
92
7
2.5
38
62
7
2.5
All results assume data exhibits 33% over-dispersion.
The high Type II errors for criterion 1, which requires a statistically significant reduction in rates, show that few trusts will pass this threshold on an annual basis, and a substantial proportion would not be expected to show such a reduction over 3 years, even if the risk has truly been reduced by 50%. Criterion 2, simply demanding the observed reduction exceeds the target, means that 50% of trusts will fail the criterion even if the risk has truly been reduced according to the target. Criterion 3, in which one only penalises a trust if there is significant evidence that the target has not been met, will accept almost all results on an annual basis, and even over 3 years most trusts that do not reduce their risks will still pass this criterion if over-dispersion is (appropriately) taken into account.
Related articles
- This Week In The BMJ Published: 27 October 2005; BMJ 331 doi:10.1136/bmj.331.7523.0-b
- Editor's Choice Published: 27 October 2005; BMJ 331 doi:10.1136/bmj.331.7523.0-f
- Editorial Published: 27 October 2005; BMJ 331 doi:10.1136/bmj.331.7523.976
- News Published: 27 October 2005; BMJ 331 doi:10.1136/bmj.331.7523.982-a
- News Published: 27 October 2005; BMJ 331 doi:10.1136/bmj.331.7523.982-b
- Letter Published: 05 April 2007; BMJ 334 doi:10.1136/bmj.39169.900475.1F
- Letter Published: 10 November 2005; BMJ 331 doi:10.1136/bmj.331.7525.1143-b
- Education And Debate Published: 04 June 1994; BMJ 308 doi:10.1136/bmj.308.6942.1499
See more
- David Oliver: Protecting healthcare workers in future pandemicsBMJ May 18, 2022, 377 o1200; DOI: https://doi.org/10.1136/bmj.o1200
- Seven monkeypox cases are confirmed in EnglandBMJ May 17, 2022, 377 o1239; DOI: https://doi.org/10.1136/bmj.o1239
- Acute hepatitis is identified in more children, but cause remains elusiveBMJ May 06, 2022, 377 o1156; DOI: https://doi.org/10.1136/bmj.o1156
- French research institute faces criminal charges over “serious breaches”BMJ May 04, 2022, 377 o1117; DOI: https://doi.org/10.1136/bmj.o1117
- Covid-19: China installs fences and alarms in Shanghai in effort to curb casesBMJ April 27, 2022, 377 o1076; DOI: https://doi.org/10.1136/bmj.o1076