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Published byOscar Francis Modified over 6 years ago
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Common Statistical Errors (and how to avoid them)
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Conflict of Interest Disclosure
I have no potential conflict of interest to report
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A quick tour of common statistical errors
Advice to help your submission pass statistical review
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Pop quiz: p values
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Can you spot the error?
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Bill Gates walks into a room…
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Error 1 DATA STATISTICIAN P VALUES
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Consultation Collaboration Partnership
Biostatisticians Consultation The statistician works on a single paper or protocol as a once-off Collaboration The statistician works with you on all of your projects over many years Partnership The statistician is a key part of the research team and develops scientific ideas
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Statisticians can also help with…
Thinking through the scientific question Experimental design Data collection Data quality assurance
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Inference: is something there?
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Estimation: How big is it?
Mean Median Proportion
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10% reduction in breast cancer incidence P=0.07
Trial Results 10% reduction in breast cancer incidence P=0.07
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Messi beats me 5 – 1 P = 0.08 by binomial test
Error 2 Messi beats me 5 – 1 P = 0.08 by binomial test
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I could play for Barcelona!
Error 2 I could play for Barcelona!
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State a null hypothesis
Inference 101 State a null hypothesis
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State a null hypothesis Get your data, calculate p value
Inference 101 State a null hypothesis Get your data, calculate p value
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Inference 101 State a null hypothesis Get your data, calculate p value If p<5%, reject null hypothesis If p ≥5%, don’t reject null hypothesis
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Inference 101 Don’t accept the null hypothesis In a court case: guilty or not guilty In a statistical test: reject or don’t reject
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Barcelona still hasn’t called.
Error 2 Barcelona still hasn’t called.
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Which is bigger?
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Error 3 “At randomization, there was a statistically significant difference in age between the drug and placebo group (p=0.04).” “Erectile function decreased in older men during the two-year follow-up period (p<0.0001).”
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Don’t run a statistical test if you already know the answer
Error 3 Don’t run a statistical test if you already know the answer
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Error 4 Erk3, ECAD, P21, P53, Cadherin, il 6, il12 and Jak had no association with outcome (p>0.2 for all), Ki67 was a predictor of recurrence (p=0.03). We recommend that Ki67 be measured to determined eligibility for adjuvant chemotherapy.
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Looked at 9 different biomarkers.
Error 4 Multiple testing: Looked at 9 different biomarkers. 35% chance of at least one marker with p<0.05. 1 significant p-value is not grounds to change practice.
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Error 4 Every single p value tests a hypothesis Think carefully about every scientific question you want to ask
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Error 5 RESULTS: Compared with a BMI of 18.5 to 21.9 kg/m2 at age 18 years, the hazard ratio for premature death was 2.79 (CI, 2.04 to 3.81) for a BMI of 30 kg/m2 or greater. CONCLUSION: Moderately higher adiposity at age 18 years is associated with increased premature death in younger and middle-aged U.S. women
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A RESULT IS NOT A CONCLUSION!
Error 5 A RESULT IS NOT A CONCLUSION!
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Biostatistics Biology Math
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Error 5 OLD CONCLUSION: Moderately higher adiposity at age 18 years is associated with increased premature death in younger and middle-aged U.S. women NEW CONCLUSION:
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Error 5 OLD CONCLUSION: Moderately higher adiposity at age 18 years is associated with increased premature death in younger and middle-aged U.S. women NEW CONCLUSION: Public health interventions should relay the risks of premature death among overweight women to encourage teen girls to avoid obesity.
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Error 6 Mean gestational time was weeks in the experimental group compared to weeks in controls (p=0.6945).
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Statistical Code
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Statistical Code
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Statistical Code
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Simple Statistical Errors
Melissa Assel Research Biostatistician Memorial Sloan Kettering Cancer Center
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