31:T418,html` In destructive sampling for lot testing of batches, the objective is to screen out flawed batches to produce a targeted level of batch reliability with some targeted confidence. However, if batches are not well-mixed, then the contamination might be present in a smaller fraction of samples. This means that more samples are required to increase the probability of screening a flawed batch.

The picture below shows the ${numSamplesPerBatch} samples for each of the ${numBatches} batches, totaling ${numSamplesPerBatch*numBatches} samples.

Flawless batches are represented by white rows.
In flawed batches, samples that are not detectably flawed are ${flawedBatchCleanSampleColor }, and samples that are detectably flawed are ${flawedBatchDirtySampleColor }.

If a row is entirely pink with no red samples, then this flawed batch would have not been screened by the test. `32:Tb18, function drawBatches() { var batchesAreFlawless = []; var samples = []; var i, j; for (i = 1; i <= numBatches; i++) { let batch = []; let batchIsFlawless = Math.random() > fracFlawedBatches; for (j = 1; j <= numSamplesPerBatch; j++) { if (batchIsFlawless || (Math.random() > fracBadSamplesInFlawedBatches)) { batch.push(0); } else { batch.push(1); } } batchesAreFlawless.push(batchIsFlawless); samples = samples.concat([batch]); }; var batchIdx = 0; var sampleIdx = 0; const indexedSamples = samples.map(batch => { const indexedBatch = batch.map(sample => { const indexedSample = { sample: sample, rowIdx: batchIdx, columnIdx: sampleIdx, batchIsFlawless: batchesAreFlawless[batchIdx], }; sampleIdx += 1; return indexedSample; }); batchIdx += 1; sampleIdx = 0; return indexedBatch; }).flat(); const gap = 5; const labelSpacing = 20; const size = Math.min((width - labelSpacing)/(numSamplesPerBatch + 2), (height - labelSpacing)/(numBatches + 2)) - gap; const columnWidth = size + gap; const rowHeight = size + gap; return html`` } 33:[] 2f:{"title":"Destructive pass/fail testing of batches","cells":[{"id":735,"value":"md`# Destructive pass/fail testing of batches`","pinned":false,"hidden":false,"mode":"ojs"},{"id":506,"value":"viewof numBatches = slider({\n min: 0, \n max: 20, \n step: 1, \n value: 10, \n title: \"Batches\", \n description: \"Number of simulated batches\"\n})","pinned":false,"hidden":false,"mode":"ojs"},{"id":542,"value":"viewof numSamplesPerBatch = slider({\n min: 0, \n max: 20, \n step: 1, \n value: 10, \n title: \"Samples per Batch\", \n description: \"Number of simulated samples per batch\"\n})","pinned":false,"hidden":false,"mode":"ojs"},{"id":514,"value":"viewof fracFlawedBatches = slider({\n min: 0, \n max: 1, \n step: 0.01, \n format: \".0%\",\n title: \"yb\", \n description: \"Percentage of flawed batches\"\n})","pinned":false,"hidden":false,"mode":"ojs"},{"id":518,"value":"viewof fracBadSamplesInFlawedBatches = slider({\n min: 0, \n max: 1, \n step: 0.01, \n format: \".0%\",\n title: \"ys\", \n description: \"Percentage of bad samples in flawed batches\"\n})","pinned":false,"hidden":false,"mode":"ojs"},{"id":725,"value":"viewof doAnimation = checkbox({\n options: [{ value: \"toggle\", label: \"Animate the picture\" }],\n value: \"toggle\"\n})","pinned":false,"hidden":false,"mode":"ojs"},{"id":775,"value":"$31","pinned":false,"hidden":false,"mode":"ojs"},{"id":463,"value":"{\n var drawing = drawBatches();\n for (const x of animate()) {\n yield x.then(() => {\n if (doAnimation) {\n drawing = drawBatches();\n }\n return drawing;\n })\n }\n}","pinned":false,"hidden":false,"mode":"ojs"},{"id":815,"value":"import {slider, button, checkbox} from \"@jashkenas/inputs\"","pinned":false,"hidden":false,"mode":"ojs"},{"id":721,"value":"$32","pinned":false,"hidden":false,"mode":"ojs"},{"id":715,"value":"function* animate() {\n while (true) {\n yield Promises.tick(500, true);\n }\n}","pinned":false,"hidden":false,"mode":"ojs"},{"id":677,"value":"height = 500;","pinned":false,"hidden":false,"mode":"ojs"},{"id":681,"value":"width = 800","pinned":false,"hidden":false,"mode":"ojs"},{"id":797,"value":"flawedBatchCleanSampleColor = \"LightPink\"","pinned":false,"hidden":false,"mode":"ojs"},{"id":808,"value":"flawedBatchDirtySampleColor = \"Red\"","pinned":false,"hidden":false,"mode":"ojs"}],"files":"$W33","stdlib":"1","titling":"auto"}