Table 6.

Effective sample sizes (ESS) of posterior draws for parameters from Model (3), with ${\lambda }_3=0$

League	$T_k$	$T_k^{\prime }$	${\mu }_{\mathit{ks}}$	${\alpha }_{\mathit{ks}}$	${\delta }_{\mathit{ks}}$	${\sigma }_{\mathrm{att},k}$	${\sigma }_{\mathrm{def},k}$
Austrian Bundesliga	33,485	38,599	8268	16,076	23,617	15,612	10,214
Danish Superliga	24,990	23,781	9965	18,872	21,732	10,363	7517
English League Championship	33,130	33,600	13,079	30,217	28,961	9000	9856
English Premier League	33,301	34,014	5838	15,962	23,314	16,252	10,443
German 2. Bundesliga	15,460	16,159	9187	16,584	19,958	6153	2461
German Bundesliga	32,620	37,899	8370	20,156	29,073	16,389	8085
Greek Super League	30,760	29,910	6437	15,768	20,427	14,997	12,580
Italy Serie A	31,899	33,764	6988	18,508	23,720	16,826	11,311
Italy Serie B	31,332	34,283	16,172	31,542	32,692	8383	4687
Norwegian Eliteserien	32,307	29,220	13,841	28,978	30,993	10,642	5949
Portuguese Liga	30,775	32,751	5898	16,217	21,875	15,729	10,634
Russian Premier Liga	28,916	32,465	10,177	22,623	25,440	12,714	11,205
Spanish La Liga	33,778	35,011	6506	18,778	22,536	16,283	12,295
Spanish La Liga 2	20,489	24,182	12,721	23,981	24,046	5081	4813
Swedish Allsvenskan	33,677	31,641	9290	26,587	23,395	11,153	12,115
Swiss Super League	28,506	29,041	9054	16,032	23,589	12,510	7184
Turkish Super Lig	29,032	30,581	10,470	23,238	26,978	10,772	8600

For parameters that vary by season (${\mu }_{\mathit{ks}}$) or team and season (${\alpha }_{\mathit{ks}}$, ${\delta }_{\mathit{ks}}$), mean ESS values are presented