Pseudoreplication: When n Is Smaller Than It Looks · seed 1 · A4, ink-friendly. The answer key prints on its own page for grown-ups.
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Counting only truly independent replicates

Science · Scientific Inquiry · ages 22-23
Name ______________________   Date ____________
  1. A specimen is measured repeatedly under the same conditions. You want one summary per assigned unit. What is a suitable first step?

    • Count each repeat as a new independently assigned unit
    • Average suitable repeats within each assigned unit
    • Delete unit identifiers before pooling all the repeats
  2. Which practice is pseudoreplication?

    • Treating dependent readings as independent units
    • Repeating a study with new independently assigned units
    • Recording repeated readings with their unit identifiers
  3. Two separately prepared cell cultures share one donor. Separate culture-level treatment assignments do not make them independent donor-level replicates.

    Circle one:   True   False

  4. Treatments are assigned independently to patients, and each patient has repeated readings. Which analysis respects this design?

    • Pool readings and count each as a separately assigned patient
    • Keep only the patient with the greatest number of readings
    • Account for patient units and dependence within each patient
  5. Readings have positive correlation within assigned units. What can happen if a standard-error calculation treats every reading as independent?

    • It can underestimate the uncertainty of the mean
    • It can make n too small and overstate uncertainty
    • It can increase the actual number of independent units
  6. A plot shows 15 readings from five independently assigned animals. Before interpreting its error bars, what should you check?

    • Whether there are enough readings for an independent-data formula
    • What the bars represent and how animal grouping was handled
    • Whether averaging readings creates more independent animals
  7. Four classes are independently assigned teaching methods. Each class has 20 measured students. Which count describes the treatment assignments?

    • 80 assignments, one for every student who was measured
    • 20 assignments, matching the number of students per class
    • 4 assignments, one for each independently assigned class
  8. Accounting for within-unit dependence leaves the effect estimate unchanged but increases its standard error. The result is no longer significant. What follows?

    • The estimated effect became smaller after the analysis changed
    • Greater estimated uncertainty changed the significance decision
    • The change in uncertainty indicates that more units were collected
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Answer key

For grown-ups. Fold this page away before handing over the rest.

Counting only truly independent replicates W1-mt_2gRWB6RTaI-s1

  1. Average suitable repeats within each assigned unit · A within-unit mean supplies the requested summary without pretending that repeats are new assignments.
  2. Treating dependent readings as independent units · The problem is ignoring dependence in the analysis, not collecting or recording repeated measurements.
  3. True · There is one donor, despite the two culture-level assignments. The cultures are not two independently sampled donors.
  4. Account for patient units and dependence within each patient · Patient summaries or a suitable hierarchical model can respect the patient-level assignment and repeated readings.
  5. It can underestimate the uncertainty of the mean · The independent-observation calculation omits positive within-unit dependence and can make the estimated standard error too small.
  6. What the bars represent and how animal grouping was handled · The plotted point count does not reveal the error-bar calculation. A valid analysis may show all readings while accounting for animals.
  7. 4 assignments, one for each independently assigned class · Methods are assigned to whole classes. The 80 student measurements occur within four assigned classes.
  8. Greater estimated uncertainty changed the significance decision · The estimate stayed the same. Its greater uncertainty changed the threshold decision, without proving a zero effect.
Worksheet · LightMySky