{"id":9042,"slug":"apple-home-away-tenure-denominator-tests-2026","title":"The same home-versus-foreign tenure comparison under six different denominators, Apple Music, 41 African markets, 16 August to 4 November 2026","source":"This desk's own Apple Music daily chart collection and its own artist-origin registry, recomputed under alternative denominators","source_url":"","source_type":"computed","method":"The adjustment that turns a raw tenure share into a relative one is an assumed input, not a measured one, so this table recomputes the same 384 paired recordings six times with the denominator replaced. Row 1 divides by nothing, which is the raw comparison. Row 2 is the published denominator, the mean tenure share across every distinct recording that market charted. Row 3 uses the median of the same distribution, which is resistant to the long tail of one-day entries on the fastest-turning charts. Row 4 uses the tenure of the recording occupying the average chart position, computed as the sum of squared tenure shares over the sum of tenure shares, so the denominator describes a chart slot rather than a chart title. Rows 5 and 6 keep the published denominator but move it 20 per cent in each direction for the eight origin markets only, which is the input a reader is most entitled to doubt. home_rel and away_rel are the mean of each recording's tenure share divided by the denominator for the market concerned; ratio is home_rel over away_rel; longer_at_home counts recordings whose home figure exceeds their mean foreign figure under that denominator. Nothing else changes between rows.","unit":"count","license":"Afrobeats Wire's compilation and analysis are licensed CC BY 4.0. Rights in the underlying source data remain with the source named above.","confidence":"medium","retrieved":"2026-11-04 07:57:44","n":6,"first_party":0,"columns":[{"key":"denominator","label":"Denominator used","type":"text"},{"key":"recordings","label":"Recordings","type":"number"},{"key":"home_rel","label":"Home tenure, adjusted","type":"number"},{"key":"away_rel","label":"Foreign tenure, adjusted","type":"number"},{"key":"ratio","label":"Home\/foreign ratio","type":"number"},{"key":"longer_at_home","label":"Longer at home (of 384)","type":"number"},{"key":"longer_at_home_pct","label":"Longer at home (%)","type":"number"},{"key":"why","label":"Why this denominator","type":"text"}],"rows":[{"denominator":"No denominator: raw tenure shares","recordings":384,"home_rel":50.65,"away_rel":19.789,"ratio":2.56,"longer_at_home":326,"longer_at_home_pct":84.9,"why":"The unadjusted comparison. This is the figure most chart reporting implicitly uses."},{"denominator":"Mean tenure of all recordings on the chart","recordings":384,"home_rel":1.335,"away_rel":1.358,"ratio":0.98,"longer_at_home":198,"longer_at_home_pct":51.6,"why":"The published denominator. Every distinct recording the market charted counts once."},{"denominator":"Median tenure of all recordings on the chart","recordings":384,"home_rel":2.304,"away_rel":3.387,"ratio":0.68,"longer_at_home":139,"longer_at_home_pct":36.2,"why":"Resistant to the long tail of one-day entries that dominates the fastest-turning charts."},{"denominator":"Tenure of the recording in the average chart position","recordings":384,"home_rel":0.7,"away_rel":0.486,"ratio":1.44,"longer_at_home":270,"longer_at_home_pct":70.3,"why":"Weights each recording by the chart positions it actually occupied, so the denominator describes a slot rather than a title."},{"denominator":"Mean denominator, home markets understated by 20 per cent","recordings":384,"home_rel":1.669,"away_rel":1.412,"ratio":1.18,"longer_at_home":234,"longer_at_home_pct":60.9,"why":"Moves the assumed input a fifth in the direction that flatters a home advantage."},{"denominator":"Mean denominator, home markets overstated by 20 per cent","recordings":384,"home_rel":1.113,"away_rel":1.321,"ratio":0.84,"longer_at_home":170,"longer_at_home_pct":44.3,"why":"Moves the same input a fifth the other way."}]}