Audit an inheritance claim when surviving offspring are a selected sample
A testcross can reveal gamete combinations only through an observation pathway: gametes form, fertilization occurs, offspring survive, markers are expressed and categories are scored. A departure in the final categories need not originate during meiosis. The course-wide task is to separate an inheritance mechanism from survival and readout alternatives while retaining the original data boundary.
Learning outcome: Compare survival factors1 and0.5 at r=0.2, retaining all four initial and surviving categories. Then vary r with survival fixed. Derive the selected denominator before reading the output. Propose an independent observation that could distinguish altered recombination from genotype-specific survival or scoring.
Starting recap
Connect molecular mechanisms to assay and sampling pathways; retain the full causal chain, independently discriminating controls and explicit practical/assessment limits.
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Try
At r=0.2, initial expected counts areAB400,Ab100,aB100,ab400. WithAB survival0.5, survivors are200,100,100,400, totaling800. The naive recombinant fraction is200/800=0.25 although true supplied r remains0.2. With outputsAB100,Ab40,aB0,ab0, mean reporter among survivors is(20000+4000)/800=30 units.
Open the experimentPredict
Can an observed recombinant fraction and a population reporter mean both change while the original meiotic recombination fraction stays fixed?
Experiment
Compare survival factors1 and0.5 at r=0.2, retaining all four initial and surviving categories. Then vary r with survival fixed. Derive the selected denominator before reading the output. Propose an independent observation that could distinguish altered recombination from genotype-specific survival or scoring.
Separate gamete linkage from survival-biased observed categories
Worked teaching model · synthetic values · Original AB/ab×ab/ab testcross with gamete fractions(1−r)/2 for AB,ab and r/2 for Ab,aB. Only AB survival is reduced; others survive with factor1. Counts are expectations per1000 initial offspring, not observed integers. Fictional reporter outputs per survivor: AB100,Ab40,aB0,ab0. No other penetrance, assay or viability effect.
Reset keeps your prediction, captures and practice history.
A changed surviving phenotype distribution can arise without changing meiotic recombination.
Normalize after the explicitly unequal survival step, not before. The survival-adjusted denominator biases a naive linkage estimate and changes the reporter mean. Actual inference would need independent class-specific survival, marker and assay evidence; the hidden generator truth is teaching information.
| Quantity | Value | Unit |
|---|---|---|
| AB initial expected count | 400 | per 1000 initial |
| AB surviving expected count | 200 | per 1000 initial |
| AB fraction among survivors | 0.2500000 | fraction |
| Ab initial expected count | 100 | per 1000 initial |
| Ab surviving expected count | 100 | per 1000 initial |
| Ab fraction among survivors | 0.1250000 | fraction |
| aB initial expected count | 100 | per 1000 initial |
| aB surviving expected count | 100 | per 1000 initial |
| aB fraction among survivors | 0.1250000 | fraction |
| ab initial expected count | 400 | per 1000 initial |
| ab surviving expected count | 400 | per 1000 initial |
| ab fraction among survivors | 0.5000000 | fraction |
| Total expected survivors | 800 | per 1000 initial |
| Naive recombinant fraction among survivors | 0.2500000 | fraction |
| True supplied recombinant fraction | 0.2000000 | fraction |
| Mean reporter output among survivors | 30 | units/survivor |
Retain prior predictions, settings and quantities in the notebook. These are original supplied/calculated comparisons, not physical specimen observations or laboratory participation.
A changed surviving phenotype distribution can arise without changing meiotic recombination.
Normalize after the explicitly unequal survival step, not before. The survival-adjusted denominator biases a naive linkage estimate and changes the reporter mean. Actual inference would need independent class-specific survival, marker and assay evidence; the hidden generator truth is teaching information.
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.
A changed packet has r=0.3 andAB survival0.5. For1000 initial expected offspring, find total survivors and the naive recombinant fraction among them.
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