Compare genotype effects across environments without universal rankings
A phenotype reflects gene products acting in a developmental and environmental context. Many traits involve several loci and environmental influences rather than a single dominant/recessive category. An observed group difference cannot be assigned uniquely to genotype without knowing how environments, sampling and other causal factors compare.
Learning outcome: Compare E=0 and E=4 at equal composition, then vary composition at E=2. Retain both genotype means and the mixture mean. Propose a factorial comparison that separates environmental response from composition change, with the biological unit clearly identified.
Starting recap
Connect chromosome mechanisms to conditional probabilities, map intervals and phenotype models. State ascertainment, viability, scoring and environment assumptions before interpreting genetic evidence.
All lessons are open directly. Your saved experiments remain when you leave and return.
Try
At E=0, genotype means are A=10 and B=14. At E=2 they are 14 and 12, reversing the ranking. A half-and-half mixture at E=2 has mean 13. Changing the mixture to 75% A gives 13.5 without changing either genotype’s reaction norm.
Open the experimentPredict
Can a population mean change even when neither genotype’s response curve changes?
Experiment
Compare E=0 and E=4 at equal composition, then vary composition at E=2. Retain both genotype means and the mixture mean. Propose a factorial comparison that separates environmental response from composition change, with the biological unit clearly identified.
Compare reaction norms rather than ranking genotypes universally
Worked teaching model · synthetic values · Original fictional trait: genotype A mean10+2E, genotype B mean14−E. Mixture mean is weighted by supplied genotype fraction. No within-genotype variance, inheritance model, fitness or human trait prediction is supplied. Environmental index is descriptive, not an intervention protocol.
Reset keeps your prediction, captures and practice history.
The ranking of genotype means depends on environment in this supplied interaction model.
A mixture mean can change through environment, genotype composition or both. This model provides no within-genotype variance and cannot estimate heritability or predict an individual outcome.
Solid: Genotype A. Dashed: Genotype B. For a count distribution, connecting segments are guides between discrete outcomes, not probabilities for fractional counts. Axes rescale to the current range; use labeled values rather than comparing graph heights across settings.
| Environmental index | Genotype A (Mean trait units) | Genotype B (Mean trait units) |
|---|---|---|
| 0 | 10.00000 | 14.00000 |
| 0.25 | 10.50000 | 13.75000 |
| 0.5 | 11.00000 | 13.50000 |
| 0.75 | 11.50000 | 13.25000 |
| 1 | 12.00000 | 13.00000 |
| 1.25 | 12.50000 | 12.75000 |
| 1.5 | 13.00000 | 12.50000 |
| 1.75 | 13.50000 | 12.25000 |
| 2 | 14.00000 | 12.00000 |
| 2.25 | 14.50000 | 11.75000 |
| 2.5 | 15.00000 | 11.50000 |
| 2.75 | 15.50000 | 11.25000 |
| 3 | 16.00000 | 11.00000 |
| 3.25 | 16.50000 | 10.75000 |
| 3.5 | 17.00000 | 10.50000 |
| 3.75 | 17.50000 | 10.25000 |
| 4 | 18.00000 | 10.00000 |
| Quantity | Value | Unit |
|---|---|---|
| Genotype A trait mean | 14 | trait units |
| Genotype B trait mean | 12 | trait units |
| A minus B at selected environment | 2 | trait units |
| Mixture trait mean | 13 | trait units |
| Environment where means cross | 1.333333 | relative units |
Retain prior predictions, settings and quantities in the notebook. These are original supplied/calculated comparisons, not physical specimen observations or laboratory participation.
The ranking of genotype means depends on environment in this supplied interaction model.
A mixture mean can change through environment, genotype composition or both. This model provides no within-genotype variance and cannot estimate heritability or predict an individual outcome.
Captures preserve recipes and replay their calculated results. They are synthetic model evidence, not physical measurements.
Understand
Apply
Public practice checks a specific claim. It does not establish independent mastery.
At E=3, the supplied means are A=10+2E and B=14−E. Find both means and the mixture mean with 20% A.
Continue
Completion requires a saved prediction, at least one capture and a reflection. Presence checks do not grade your reasoning.
Skipping retains experiments and awards no mastery.
Save a science backup or import one
Science work is stored locally in this browser, separately from mathematics and AI. It does not sync automatically. Use this science-only backup; this checkout's older all-subject export does not include science.
A legacy file is available only when the complete snapshot fits the 36 MB limit. For larger snapshots, prepare a complete file set below; never discard notebooks to make a smaller file.
Matching imported notebook drafts replace their current drafts. Omitted lessons and known first attempts remain. Export your current work first if you want to retain both drafts.
Complete file sets and course backups
A file set can hold more work than one science file. Keep its manifest and every part together. Each file is limited to 36 MB. This format needs this version of LearnAI or a compatible newer version; older versions can use only the legacy single-file backup above.
The set includes every saved science course and global continuation at this moment. Later edits need a new export. A conflicting tab exports its own visible work, which may differ from saved work in another tab.
0 file(s) selected. File order and filenames do not determine identity. Missing, changed or conflicting parts block the entire restore; no good part is applied by itself.
Science storage: loading. No account or remote computation is required.