Calculate gain and denominator-specific rates
See this course’s project requirements
A fictional program evaluation brief with denominator definitions, matched pre/post results, attrition sensitivity, project-rubric evidence, a noncausal conclusion and a next measurement plan.
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What to include
- Provide a stable dictionary for enrollment, completion, quiz and project measures.
- Retain all eight enrolled aliases and document matched/missing/exception records.
- Calculate denominator-specific rates and observed paired gain.
- Show explicitly hypothetical missing-score bounds and independent project-rubric evidence.
- Write a descriptive conclusion with causal limits and a next-evidence plan.
Review and revise
Use these criteria to check your work and choose what to improve.
- All rates and means use the stated cohort or matched subset.
- Missing and conflicting records are not silently dropped or invented.
- Quiz and reviewed-project evidence retain their different standards.
- The conclusion is descriptive and its limitations match the study design.
Want more background?
The idea in everyday life
Fictional learning program: eight enrolled aliases P1–P8 have baseline scores. Four post-test items score from 0 to 4; the exercise threshold is at least3. Completion means the supplied attendance/submission conditions were met, independently of quiz or project result. P1–P4 completed; their post scores are4,4,3,3 and pre scores2,3,1,2. P5–P8 did not complete and have missing post scores; their pre scores are2,1,0,1. A four-criterion project rubric was reviewed for P1–P4: P1/P3/P4 meet all criteria; P2 needs revision. No comparison group, random assignment or real participant data exists.
A paired mean compares the same people before and after. A cohort rate answers a different question; label the denominator each time.
Calculate gain and denominator-specific rates — supplied practice
A paired mean compares the same people before and after. A cohort rate answers a different question; label the denominator each time.
Fictional learning program: eight enrolled aliases P1–P8 have baseline scores. Four post-test items score from 0 to 4; the exercise threshold is at least3. Completion means the supplied attendance/submission conditions were met, independently of quiz or project result. P1–P4 completed; their post scores are4,4,3,3 and pre scores2,3,1,2. P5–P8 did not complete and have missing post scores; their pre scores are2,1,0,1. A four-criterion project rubric was reviewed for P1–P4: P1/P3/P4 meet all criteria; P2 needs revision. No comparison group, random assignment or real participant data exists.
Fictional eight-learner evidence register
Paste at A1.
| AID | BPre score /4 | CPost score /4 | DCompleted program | EProject review |
|---|---|---|---|---|
| P1 | 2 | 4 | Yes | Pass |
| P2 | 3 | 4 | Yes | Revise |
| P3 | 1 | 3 | Yes | Pass |
| P4 | 2 | 3 | Yes | Pass |
| P5 | 2 | Missing | No | Not reviewed |
| P6 | 1 | Missing | No | Not reviewed |
| P7 | 0 | Missing | No | Not reviewed |
| P8 | 1 | Missing | No | Not reviewed |
Copy as plain text
1. Calculate the matched pre mean
Add P1–P4 pre scores2+3+1+2 and divide by four.
You should see: Matched pre total 8 and mean 2.0 out of 4.
These are the same four people who have post scores.
2. Calculate matched post and change
Add4+4+3+3, divide by four, then subtract matched pre mean.
You should see: Matched post total 14; mean 3.5; mean change+1.5 points.
Equivalent individual changes2,1,2,1 average1.5.
3. Calculate cohort completion
Divide four completed records by eight enrolled and convert to percent.
You should see: Completion among enrolled is50%.
The denominator includes known noncompleters.
4. Report threshold rates
Count all four observed post scores≥ 3; report4/4 observed100%, and4/8 enrolled50% with demonstrated threshold evidence.
You should see: Both figures are valid with different labels; four enrolled scores remain unknown.
Do not use the respondent rate as an all-enrolled pass claim.
What to finish
A calculation sheet with paired mean change and denominator-specific rates.
Watch for this
Subtracting the all-eight baseline mean from the four-person post mean and calling that paired change.
How can I tell I understand it?
Observed-response and enrolled-evidence rates retain their distinct labels.
Quick knowledge check
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Source & access notes · checked 2026-10-01
This official reference supports the mapped concepts. The supplied exercise inputs and operating rules are original fictional practice, not universal legal requirements or qualification evidence.
Access: official search extract of program-evaluation toolkit; fullPDFreadererror on 2026-10-01; external resources are optional.
Reuse: Original fictional teaching and practice; source concepts paraphrased and linked, with no copied provider exercises.
Source & access notes · checked 2026-10-01
This official reference supports the mapped concepts. The supplied exercise inputs and operating rules are original fictional practice, not universal legal requirements or qualification evidence.
Access: official IES missing-data report metadata/search extract; fullreadererror on 2026-10-01; external resources are optional.
Reuse: Original fictional teaching and practice; source concepts paraphrased and linked, with no copied provider exercises.
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