Report 03 — Independence over time and across wheels

Two independent five-number draws from 90 share on average 0.277778 numbers.

E[overlap] = 5 × 5 / 90 = 0.277777…

No wheel shows significant dependence between consecutive draws (11 tests). Across the 55 wheel pairs, the smallest raw p-value is 0.00916, but becomes 0.50394 after Holm: this is not evidence of an anomalous relationship.

Each wheel against itself over time

Each five-number draw is compared with the next draw on the same wheel. The overlap count should follow the hypergeometric distribution expected for two independent draws.

Wheel	N pairs	Mean overlap	p raw	p Holm
Bari	10751	0.27942	0.82986	1.00000
Cagliari	7276	0.27680	0.84225	1.00000
Firenze	10917	0.27846	0.98184	1.00000
Genova	7348	0.27899	0.98464	1.00000
Milano	10923	0.27941	0.16748	1.00000
Napoli	10919	0.27631	0.94773	1.00000
Nazionale	3485	0.26714	0.13576	1.00000
Palermo	10899	0.27324	0.46212	1.00000
Roma	10923	0.28719	0.14211	1.00000
Torino	10923	0.27209	0.27938	1.00000
Venezia	10922	0.28282	0.40739	1.00000

Wheel vs wheel on the same date

All 55 pairs are tested. The table is sorted by the smallest raw p-value, transparently showing fluctuations that might look suspicious if separated from the multiple-testing context.

A	B	Common dates	Mean overlap	p raw	p Holm
Genova	Napoli	7345	0.29067	0.00916	0.50394
Firenze	Napoli	10913	0.28342	0.02373	1.00000
Milano	Napoli	10919	0.26898	0.03724	1.00000
Roma	Torino	10923	0.27071	0.05265	1.00000
Torino	Venezia	10923	0.26778	0.07053	1.00000
Cagliari	Milano	7276	0.26457	0.07130	1.00000
Bari	Nazionale	3486	0.27969	0.08383	1.00000
Palermo	Torino	10899	0.26929	0.09109	1.00000
Bari	Roma	10751	0.27179	0.09748	1.00000
Genova	Nazionale	3486	0.29145	0.11225	1.00000
Nazionale	Torino	3486	0.29403	0.12407	1.00000
Genova	Torino	7348	0.28702	0.13241	1.00000
Milano	Nazionale	3486	0.26104	0.14610	1.00000
Cagliari	Venezia	7276	0.27240	0.15795	1.00000
Genova	Palermo	7326	0.26836	0.16711	1.00000
Napoli	Nazionale	3486	0.28686	0.16789	1.00000
Firenze	Genova	7342	0.27159	0.18504	1.00000
Firenze	Milano	10917	0.27105	0.23865	1.00000
Milano	Torino	10923	0.27648	0.25123	1.00000
Napoli	Palermo	10900	0.27073	0.26368	1.00000
Milano	Palermo	10899	0.28443	0.26782	1.00000
Bari	Cagliari	7277	0.26810	0.27236	1.00000
Palermo	Roma	10900	0.27881	0.28488	1.00000
Cagliari	Nazionale	3486	0.28112	0.29792	1.00000
Palermo	Venezia	10898	0.27051	0.31231	1.00000
Napoli	Roma	10919	0.27155	0.33775	1.00000
Milano	Venezia	10922	0.28346	0.33801	1.00000
Genova	Milano	7348	0.28416	0.36725	1.00000
Bari	Firenze	10745	0.28413	0.39343	1.00000
Firenze	Nazionale	3486	0.27940	0.39488	1.00000
Roma	Venezia	10922	0.28438	0.39895	1.00000
Napoli	Torino	10919	0.27841	0.44187	1.00000
Firenze	Venezia	10916	0.27327	0.54635	1.00000
Bari	Milano	10751	0.28332	0.55326	1.00000
Genova	Venezia	7347	0.28352	0.56144	1.00000
Firenze	Torino	10917	0.28240	0.59671	1.00000
Genova	Roma	7349	0.27500	0.61108	1.00000
Milano	Roma	10923	0.27950	0.61315	1.00000
Nazionale	Venezia	3486	0.27653	0.61608	1.00000
Bari	Napoli	10747	0.28240	0.62312	1.00000
Firenze	Roma	10917	0.27608	0.65386	1.00000
Bari	Venezia	10750	0.27386	0.68140	1.00000
Firenze	Palermo	10893	0.27357	0.69037	1.00000
Cagliari	Palermo	7267	0.27838	0.69873	1.00000
Cagliari	Roma	7277	0.27992	0.71262	1.00000
Nazionale	Palermo	3486	0.28141	0.74749	1.00000
Bari	Torino	10751	0.27793	0.76514	1.00000
Bari	Genova	7349	0.27460	0.80143	1.00000
Napoli	Venezia	10918	0.27569	0.82702	1.00000
Nazionale	Roma	3486	0.27309	0.83091	1.00000
Cagliari	Genova	7277	0.27731	0.86197	1.00000
Bari	Palermo	10727	0.27575	0.87529	1.00000
Cagliari	Torino	7276	0.27804	0.89143	1.00000
Cagliari	Firenze	7277	0.27690	0.89820	1.00000
Cagliari	Napoli	7277	0.27869	0.95293	1.00000

LottoStatistics 1.0.1 — reproducible descriptive/inferential analysis; not a prediction system.