Translate a dramatic headline
What does a relative reduction mean in actual counts?
Entering midway? Revisit Did opinions change—or respondents? for the preceding worked example, or start here and use the explanation below.
Start with a concrete question
Original fictional study rates use the same 1,000-exposure denominator. Compare relative and absolute framing.
Try the initial inputs, then write a prediction before changing one setting. All calculations run locally on your CPU.
What do you expect?
Before changing a setting: What does a relative reduction mean in actual counts? Write what you expect and why.
Change one thing. Inspect what happens.
- Read both headline frames for the initial baseline.
- Raise baseline risk while keeping relative reduction fixed.
- Set baseline to zero and explain why an observed relative decrease cannot be estimated.
- Write a news paragraph including baseline, absolute change, denominator and assumptions.
Your settingsMechanism
Calculation belowEvidence
Compare outcomes
Compare the current results
Every bar starts at zero and uses the same numeric scale in this chart. The upper bound automatically adjusts to the largest current value (at least 1), so compare the numbers when changing inputs. Units and quantities come from each label; different kinds of quantity are not interchangeable. Displayed values are rounded to at most six significant digits.Follow the calculation
- Headline: “Incidents fall by 50%.”
- Original fictional study: 2 incidents per 1,000 exposures before; assumed relative reduction 50%; after=1.
- Expected fractional incidents describe a rate, not a partial event. The relative-reduction headline is undefined when baseline incidents are zero.
Translate relative changes into absolute counts using the same denominator and time period; retain uncertainty and study limitations when reporting.
Rewrite the news paragraph
Report baseline, absolute and relative change using the same denominator. Distinguish an assumed scenario from measured causal evidence.
64/8,000 characters. Drafts save locally and are included in backups. Importing or opening a draft never runs it.
Compare with my earlier draft
A new method cuts incidents by 50%, so almost everyone benefits.
Explain what you changed and why in your observation notes. Text differences do not establish quality.
Inspect an example solution after your attempt
In the fictional scenario, incidents fall from 2 to 1 per 1,000 exposures: one fewer per 1,000, a 50% relative decrease. This is a modeled assumption and does not identify individual benefit or prove causation.
This is one worked example. Test another input and explain its limitations.
Captures keep your inputs, prediction and observation. Results are recalculated from those inputs. Resetting inputs keeps your captures and challenge history.
Explain the mechanism
Translate a dramatic headline
Original fictional study rates use the same 1,000-exposure denominator. Compare relative and absolute framing.
Follow the mechanism
A 50% relative decrease from 2 per 1,000 means 1 fewer incident per 1,000.
The same relative decrease from 100 means 50 fewer per 1,000.
The modeled reduction is an input assumption; a before-after observation alone would not establish causation.
Worked example
Headline: “Incidents fall by 50%.”
Original fictional study: 2 incidents per 1,000 exposures before; assumed relative reduction 50%; after=1.
Expected fractional incidents describe a rate, not a partial event. The relative-reduction headline is undefined when baseline incidents are zero.
Calculation
Expected after = baseline × (1 − relative reduction/100); avoided = baseline − after.
Try a controlled comparison
Read both headline frames for the initial baseline.
Raise baseline risk while keeping relative reduction fixed.
Set baseline to zero and explain why an observed relative decrease cannot be estimated.
Write a news paragraph including baseline, absolute change, denominator and assumptions.
What this does not establish
- All messages, people, documents and outcomes here are original fictional teaching fixtures; results are not measurements of real organizations.
Try a fresh case
A risk falls from 8 to 6 incidents per 1000. What is the relative reduction as a percentage?
This is a public practice check. Retries support learning; matching a number does not certify independent proficiency.
Take the investigation further
Choose any extension. These are project prompts for you to carry out; they are not automatically assessed.
School investigation
Create a new case with different numbers and explain your decision to a classmate.
College investigation
Implement or analyze a fresh case, document assumptions and compare at least two alternatives.
Workplace investigation
Prepare a decision artifact with evidence, operating constraints, an owner and a follow-up measurement.
Keep the evidence, choose your next step
Completion records your own decision that you have worked through this investigation. Practice checks and independent project evidence are separate.