A community center wants to decide whether to open one hour earlier. Its manager asks, “Do people like our center?” A favorable answer would not reveal who needs an earlier opening, how often, or whether the people currently absent are the ones most affected. Before collecting any responses, rewrite the question so an answer could inform the proposed decision.
For this worked example, target adults living in the center’s service area during the first four complete weeks of September. An observational unit is one adult resident. Define the outcome as whether that resident wanted to use the center before its current opening time at least once during those weeks. This measures reported unmet demand, not guaranteed future attendance. Record that distinction beside the question. All examples here are synthetic planning exercises, not claims about an actual community.
Predict
Predict how the answer might change if the manager surveys only people already inside at noon. Name two kinds of residents that this method might miss. Then predict whether asking every resident would remove all problems. A complete census removes sampling variation from selecting only some residents for that defined population and date; it does not automatically remove unclear wording, inaccurate recall or coercive collection.
Write the decision, population and outcome before viewing a result. Otherwise it is tempting to redefine “demand” after discovering which response looks favorable. Exploratory questions are useful, but report them as exploratory rather than pretending they were the original aim.
Experiment
Complete the following planning record. Change one row, then explain whether the revised data still answer the original question.
Planning choice
Worked specification
What to check
Decision
Whether to trial an earlier opening
Demand alone does not measure staffing cost
Population and unit
Adult service-area residents; one adult
Existing visitors are a different population
Outcome
Any unmet before-opening use in the named four weeks
Define “wanted to use,” dates and opening times
Comparison
Residents who start work before 9 a.m. versus others
This is a measured grouping, not an assigned treatment
Recruitment
Randomly select residents from a defensible resident frame
Document frame omissions and nonresponse
Analysis
Estimate each group’s proportion and their difference
Keep missing answers separate from “no”
Read forward to design the study; read backward to audit whether a conclusion answers the question. A complete sequence is a plan, not evidence that collection succeeded.
Suppose the frame contains 600 adults. Selecting 120 randomly is a sample. Obtaining the specified measurement from all 600 would be a completed census of that frame. Sending 600 invitations and receiving 420 replies is an attempted census with 180 missing responses, not a completed census. Larger coverage can be valuable, but the missing residents might differ systematically on unmet demand. Replacing missing replies by “no” changes the data rather than repairing that uncertainty.
Understand
Collection timing creates another distinction. A prospective observational study enrolls residents now, records relevant characteristics, and follows their unmet-use reports over the next month. A retrospective study examines existing records or asks about earlier events. Neither design, by itself, randomly assigns opening times. An association between work schedule and demand can have alternative explanations such as distance, childcare responsibilities or transportation access.
A prospective design can establish that a recorded exposure preceded a later outcome, but that ordering does not eliminate confounding. A retrospective attendance archive may be inexpensive yet unable to record visits people wanted to make but could not. Choose the data source for the variable it actually measures. A detailed archive is not automatically the right evidence.
Keep two scope statements separate. Random selection from a good frame can support generalization to the represented population, subject to nonresponse and measurement problems. Random assignment of treatments can support causal comparisons under the experimental protocol. Simply following people longer supplies neither kind of randomization.
Ethics belongs before collection. Obtain informed participation, avoid pressure from service providers, collect only needed information, restrict access and set a deletion schedule. Do not publish named addresses to prove that residents were real. Aggregate categories can still identify people when groups are very small; combine or withhold such summaries where necessary. A consent checkbox does not make every unnecessary disclosure appropriate.
Apply
Try a changed case: a museum wants to know whether visitors understand its new exhibit labels. It proposes counting social-media likes. Write an outcome that actually measures understanding, a sampling frame, a reference period and a comparison before collecting data. State one conclusion that even a perfectly measured observational comparison would not establish.
Compare a possible repair
One plan samples exiting visitors during randomly chosen visit periods and asks a short, prespecified explanation question scored with a stated rubric. The unit is a visitor, the outcome is the response score, and a comparison might distinguish first-time from returning visitors. Likes measure online engagement rather than the proposed understanding outcome. Sampling only exiting visitors does not describe nonvisitors, and first-time versus returning visitors were not randomly assigned those histories. To estimate a causal label effect, a separate randomized label comparison would be needed, with consistent content and a defensible consent procedure.
Continue
Use the practice to write a plan another person could carry out. A good response identifies what will be collected, from whom, when and why, then states what the resulting evidence cannot settle. The next lesson turns selection and treatment allocation into explicit random procedures rather than the instruction “choose people randomly.”
Apply · explain · revise
Practice and reasoning
Drafts save locally as you type. Reveal worked solutions when useful; the site remembers that exposure. Automatic matches check the requested answer, while written arguments require review against the rubric.
A college wants to decide whether to extend its library hours. Write an investigative question and a collection plan that could estimate unmet late-evening demand among all currently enrolled students during a specified two-week period. Define the unit, outcome and comparison. Explain why counting existing late visitors alone is insufficient.
Structure your argument and preserve revisions
These optional planning fields save locally. Recording your response saves an immutable copy of the argument and these fields. Older records may contain only first/latest responses; missing intermediate revisions are not reconstructed.
Each field allows 2,000 characters. Keep a specific claim, state where it applies, cite the facts you use, and explain what still needs checking. Blank fields are allowed and are not evidence of mastery.
A firm sends a questionnaire to all 240 employees and receives 168 responses. A manager calls the result a perfect census and says no uncertainty or bias remains. Evaluate both claims; name one repair and one limitation that the repair cannot automatically remove.
Structure your argument and preserve revisions
These optional planning fields save locally. Recording your response saves an immutable copy of the argument and these fields. Older records may contain only first/latest responses; missing intermediate revisions are not reconstructed.
Each field allows 2,000 characters. Keep a specific claim, state where it applies, cite the facts you use, and explain what still needs checking. Blank fields are allowed and are not evidence of mastery.
Study A enrolls workers today, records current shift type, and observes sleep over the next six months without changing shifts. Study B selects workers with and without recorded sleep problems and reviews their prior shift records. Classify both designs and explain why neither alone establishes that shift type causes sleep problems.
Structure your argument and preserve revisions
These optional planning fields save locally. Recording your response saves an immutable copy of the argument and these fields. Older records may contain only first/latest responses; missing intermediate revisions are not reconstructed.
Each field allows 2,000 characters. Keep a specific claim, state where it applies, cite the facts you use, and explain what still needs checking. Blank fields are allowed and are not evidence of mastery.
A team records 18 outcomes from a new study app, finds one favorable difference, and announces that this was the study’s original primary aim. Design a more transparent plan for a follow-up study without requiring that exploratory findings be discarded.
Structure your argument and preserve revisions
These optional planning fields save locally. Recording your response saves an immutable copy of the argument and these fields. Older records may contain only first/latest responses; missing intermediate revisions are not reconstructed.
Each field allows 2,000 characters. Keep a specific claim, state where it applies, cite the facts you use, and explain what still needs checking. Blank fields are allowed and are not evidence of mastery.
A school invites volunteers to report commute time, exact home address and family income publicly beside their names. The aim is to compare typical commute times by transport mode. Propose a smaller data collection and state which population conclusion the volunteer results support.
Structure your argument and preserve revisions
These optional planning fields save locally. Recording your response saves an immutable copy of the argument and these fields. Older records may contain only first/latest responses; missing intermediate revisions are not reconstructed.
Each field allows 2,000 characters. Keep a specific claim, state where it applies, cite the facts you use, and explain what still needs checking. Blank fields are allowed and are not evidence of mastery.
A researcher records 20 daily stress reports from each of 30 randomly sampled students. The question concerns students’ average stress during those 20 days. Identify the observational structure, a suitable student-level summary, and why calling the data 600 independently sampled students is wrong.
Structure your argument and preserve revisions
These optional planning fields save locally. Recording your response saves an immutable copy of the argument and these fields. Older records may contain only first/latest responses; missing intermediate revisions are not reconstructed.
Each field allows 2,000 characters. Keep a specific claim, state where it applies, cite the facts you use, and explain what still needs checking. Blank fields are allowed and are not evidence of mastery.
Reflect and continue
Before marking this lesson complete, explain one key idea without the worked solution and identify a condition that matters. Marking complete records participation, not independent mastery.