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feat(experiments): Calculate secondary metric credible interval (#26138)
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@ -131,6 +131,7 @@ export function SecondaryMetricsTable({
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countDataForVariant,
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exposureCountDataForVariant,
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conversionRateForVariant,
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credibleIntervalForVariant,
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experimentMathAggregationForTrends,
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getHighestProbabilityVariant,
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} = useValues(experimentLogic({ experimentId }))
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@ -223,6 +224,24 @@ export function SecondaryMetricsTable({
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)
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},
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},
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{
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title: 'Credible interval (95%)',
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render: function Key(_, item: TabularSecondaryMetricResults): JSX.Element {
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if (item.variant === 'control') {
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return <em>Baseline</em>
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}
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const credibleInterval = credibleIntervalForVariant(targetResults || null, item.variant)
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if (!credibleInterval) {
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return <>—</>
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}
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const [lowerBound, upperBound] = credibleInterval
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return (
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<div className="font-semibold">{`[${lowerBound > 0 ? '+' : ''}${lowerBound.toFixed(
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2
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)}%, ${upperBound > 0 ? '+' : ''}${upperBound.toFixed(2)}%]`}</div>
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)
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},
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},
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{
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title: 'Win probability',
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render: function Key(_, item: TabularSecondaryMetricResults): JSX.Element {
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@ -255,6 +274,25 @@ export function SecondaryMetricsTable({
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return <div>{`${conversionRate.toFixed(2)}%`}</div>
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},
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},
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{
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title: 'Credible interval (95%)',
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render: function Key(_, item: TabularSecondaryMetricResults): JSX.Element {
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if (item.variant === 'control') {
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return <em>Baseline</em>
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}
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const credibleInterval = credibleIntervalForVariant(targetResults || null, item.variant)
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if (!credibleInterval) {
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return <>—</>
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}
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const [lowerBound, upperBound] = credibleInterval
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return (
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<div className="font-semibold">{`[${lowerBound > 0 ? '+' : ''}${lowerBound.toFixed(
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2
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)}%, ${upperBound > 0 ? '+' : ''}${upperBound.toFixed(2)}%]`}</div>
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)
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},
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},
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{
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title: 'Win probability',
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render: function Key(_, item: TabularSecondaryMetricResults): JSX.Element {
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@ -105,6 +105,18 @@ export interface ExperimentResultCalculationError {
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statusCode: number
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}
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export interface CachedSecondaryMetricExperimentFunnelsQueryResponse extends CachedExperimentFunnelsQueryResponse {
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filters?: {
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insight?: InsightType
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}
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}
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export interface CachedSecondaryMetricExperimentTrendsQueryResponse extends CachedExperimentTrendsQueryResponse {
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filters?: {
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insight?: InsightType
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}
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}
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export const experimentLogic = kea<experimentLogicType>([
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props({} as ExperimentLogicProps),
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key((props) => props.experimentId || 'new'),
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@ -1261,6 +1273,53 @@ export const experimentLogic = kea<experimentLogicType>([
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return (variantResults[variantResults.length - 1].count / variantResults[0].count) * 100
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},
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],
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credibleIntervalForVariant: [
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() => [],
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() =>
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(
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experimentResults:
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| Partial<ExperimentResults['result']>
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| CachedSecondaryMetricExperimentFunnelsQueryResponse
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| CachedSecondaryMetricExperimentTrendsQueryResponse
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| null,
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variantKey: string
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): [number, number] | null => {
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const credibleInterval = experimentResults?.credible_intervals?.[variantKey]
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if (!credibleInterval) {
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return null
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}
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if (experimentResults.filters?.insight === InsightType.FUNNELS) {
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const controlVariant = (experimentResults.variants as FunnelExperimentVariant[]).find(
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({ key }) => key === 'control'
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) as FunnelExperimentVariant
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const controlConversionRate =
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controlVariant.success_count / (controlVariant.success_count + controlVariant.failure_count)
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if (!controlConversionRate) {
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return null
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}
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// Calculate the percentage difference between the credible interval bounds of the variant and the control's conversion rate.
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// This represents the range in which the true percentage change relative to the control is likely to fall.
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const lowerBound = ((credibleInterval[0] - controlConversionRate) / controlConversionRate) * 100
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const upperBound = ((credibleInterval[1] - controlConversionRate) / controlConversionRate) * 100
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return [lowerBound, upperBound]
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}
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const controlVariant = (experimentResults.variants as TrendExperimentVariant[]).find(
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({ key }) => key === 'control'
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) as TrendExperimentVariant
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const controlMean = controlVariant.count / controlVariant.absolute_exposure
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// Calculate the percentage difference between the credible interval bounds of the variant and the control's mean.
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// This represents the range in which the true percentage change relative to the control is likely to fall.
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const lowerBound = ((credibleInterval[0] - controlMean) / controlMean) * 100
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const upperBound = ((credibleInterval[1] - controlMean) / controlMean) * 100
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return [lowerBound, upperBound]
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},
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],
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getIndexForVariant: [
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(s) => [s.experimentInsightType],
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(experimentInsightType) =>
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