Butler

#1	Player	xButler	AOB	x.P/s	Team
1	Shi Jian	2.037	0.274	208/118	SHH Longevity
2	Wang Ping	1.882	0.220	123/74	YBS
3	Sun GuoQuan	1.816	0.171	227/138	SHH Longevity
4	Shih JueiYu	1.706	-0.286	255/128	YBS
5	Cheng KuoPaw	1.502	-0.545	131/64	YBS
6	Mao Jiansheng	1.255	-0.028	77/60	Hangzhou-Huzhou
7	Jung-Fu Lee	1.172	-0.061	143/116	Sheng Feng
7	Wen-Ke Chen	1.172	-0.061	143/116	Sheng Feng
9	Patrick Choy	1.058	-0.182	62/50	The Young Ones
10	Sundarram Srinivasan	0.998	0.148	68/80	India
10	Sridharan Padmanabhan	0.998	0.148	68/80	India
12	Zhang Minger	0.910	-0.293	178/148	Hangzhou-Huzhou
13	Lu Chen-Dann	0.879	0.407	34/72	Formosa
14	Lin ChihMou	0.802	0.302	47/94	YBS
14	Jonky Chung	0.802	0.302	47/94	YBS
16	Machangyong	0.792	0.407	37/96	Sang Yu
16	Hujinbao	0.792	0.407	37/96	Sang Yu
18	Chenming	0.691	0.318	44/118	Sang Yu
18	Shibiao	0.691	0.318	44/118	Sang Yu
20	XueSumin	0.687	-0.182	73/84	Xiamen Senior
20	YuXinlin	0.687	-0.182	73/84	Xiamen Senior
22	Chen YoungHong	0.675	0.373	29/96	Formosa
23	Lou Jienv	0.656	-0.492	101/88	Hangzhou-Huzhou
24	张锟	0.595	0.189	43/106	Beijing Senior
24	郑一心	0.595	0.189	43/106	Beijing Senior
26	Hewei	0.573	-0.086	54/82	Sang Yu
26	Zhangxiongjie	0.573	-0.086	54/82	Sang Yu
28	Shen Mingkun	0.526	-0.453	92/94	Beijing Senior
28	Sun Ming	0.526	-0.453	92/94	Beijing Senior
30	Chi JenLee	0.501	-0.279	92/118	Freeman
30	Wu MingHsuan	0.501	-0.279	92/118	Freeman
32	Peter Yeung	0.500	-0.250	87/116	HK.Senior Friends
32	Roger Ling	0.500	-0.250	87/116	HK.Senior Friends
34	Zhao Dongpo	0.453	0.721	-22/82	CCMSA
35	Warren Lazer	0.433	0.063	40/108	Australia
35	Pauline Gumby	0.433	0.063	40/108	Australia
37	Xia jianqiang	0.297	-0.120	45/108	Jinjiang
38	LinYalong	0.293	0.022	26/96	Xiamen Senior
38	ZhangGuoming	0.293	0.022	26/96	Xiamen Senior
40	Alan Sia	0.285	-0.006	43/148	The Young Ones
41	Bert Toar Polii	0.241	-0.072	30/96	Djarum
42	Shi Shaoming	0.237	-0.294	68/128	Jinjiang
43	Zheng JianPing	0.193	0.322	-15/116	CCMSA
44	Long Hao	0.149	0.095	5/92	CCMSA
45	King RongYung	0.126	0.074	5/96	hoshin
46	Chang ChiangLin	0.093	-0.026	5/42	Siyuan
47	Donny Chen	0.073	-0.071	15/104	hoshin
48	William Chan	0.073	0.198	-8/64	Xiashun
49	ZhongSheng Chen	0.046	-0.096	15/106	Xiashun
50	Ron Klinger	0.041	-0.084	5/40	Australia
51	Gong WangYing	0.018	-0.166	14/76	CCMSA
52	Zhang YaLan	0.005	0.005	0/74	YBS
53	Ho Wei	0.001	-0.383	33/86	Freeman
53	Lee Sunwei	0.001	-0.383	33/86	Freeman
55	CongHai Zeng	-0.023	-0.083	7/116	Xiashun
56	Shen Xiaonong	-0.031	0.240	-26/96	Beijing Senior
56	Liang Yixiong	-0.031	0.240	-26/96	Beijing Senior
58	Samuel Wan	-0.036	-0.415	44/116	HK.Senior Friends
59	Peter Buchen	-0.046	0.240	-28/98	Australia
60	Luo WuHu	-0.054	-0.189	14/104	hoshin
61	Joyce Hsu	-0.056	-0.117	4/66	hoshin
62	Shyi-Long Lee	-0.062	0.034	-10/104	Sheng Feng
63	Avi Kanetkar	-0.066	0.236	-26/86	Australia
64	Xia Xiaoqing	-0.079	0.307	-34/88	Hangzhou-Huzhou
64	Lu Zhengxiang	-0.079	0.307	-34/88	Hangzhou-Huzhou
66	Romulo Virola	-0.104	-0.158	4/74	The Young Ones
67	Apin Nurhalim	-0.116	-0.125	1/108	Djarum
68	Jang jungbae	-0.126	0.018	-15/104	TOP
68	Park Jungyoon	-0.126	0.018	-15/104	TOP
70	Derek Zen	-0.141	-0.478	29/86	HK.Senior Friends
71	HuangShuxian	-0.165	-0.015	-6/40	Xiamen Senior
72	Shi TongKuang	-0.199	-0.492	24/82	Siyuan
73	WeiZe Tue	-0.220	-0.107	-12/106	Xiashun
74	LinBowen	-0.223	-0.085	-16/116	Xiamen Senior
75	Huang JinSheng	-0.240	0.393	-62/98	SHH Longevity
76	Chang ChungPing	-0.242	0.146	-45/116	Formosa
76	Chen ChuanCheng	-0.242	0.146	-45/116	Formosa
78	FanYunxi	-0.256	-0.124	-10/76	Xiamen Senior
79	Yeh Chen	-0.262	-0.278	1/64	YBS
80	Wang Rui	-0.263	-0.159	-11/106	Ravo
80	Wu ZhongHua	-0.263	-0.159	-11/106	Ravo
82	Shou-Liang Chen	-0.279	0.066	-40/116	Sheng Feng
83	Lin AiMei	-0.284	0.466	-66/88	SHH Longevity
84	Chang-Biau Yang	-0.289	0.055	-22/64	Sheng Feng
85	Gemma Tan	-0.317	-0.131	-16/86	The Young Ones
86	Xiong Fuxing	-0.329	0.021	-21/60	Hangzhou-Huzhou
86	Hanyi Lai	-0.329	0.021	-21/60	Hangzhou-Huzhou
88	Kuang PaoShan	-0.331	-0.146	-17/92	Freeman
88	Su PoYen	-0.331	-0.146	-17/92	Freeman
90	Hu ChuanZhen	-0.339	0.190	-37/70	SHH Longevity
91	Xu JinTai	-0.350	0.169	-55/106	hoshin
92	Hu YongLiang	-0.356	0.019	-30/80	SHH Longevity
93	Ou XianLiang	-0.359	-0.407	4/84	Ravo
93	Gong JingYuan	-0.359	-0.407	4/84	Ravo
95	Giovani .Watulingas	-0.363	-0.216	-17/116	Djarum
95	Rustam Effendi	-0.363	-0.216	-17/116	Djarum
97	Shen NaiJeng	-0.371	0.522	-75/84	Formosa
97	Cheng Te-Tung	-0.371	0.522	-75/84	Formosa
99	Ashley Lung	-0.389	0.158	-35/64	Xiashun
100	Ma AiYue	-0.406	-0.208	-21/106	Ravo
100	HuXingBo	-0.406	-0.208	-21/106	Ravo
102	SS Chan	-0.431	0.312	-55/74	Xiashun
103	Tanudjan sugiarto	-0.439	-0.064	-27/72	Djarum
104	Kim yoonkyung	-0.448	-0.313	-13/96	TOP
104	Hwang mansuk	-0.448	-0.313	-13/96	TOP
106	Jiang Yuanding	-0.468	-0.119	-37/106	Jinjiang
107	Bruce Neill	-0.471	0.000	-48/102	Australia
108	Hsu MingXiang	-0.477	0.032	-59/116	hoshin
109	Jane Choo	-0.508	0.097	-46/76	The Young Ones
110	Wang Yuanluo	-0.541	-0.291	-10/40	Jinjiang
111	Rajesh Dalal	-0.579	0.021	-36/60	India
111	Anil Padhye	-0.579	0.021	-36/60	India
113	Zhou GengSheng	-0.580	-0.655	3/40	Siyuan
114	Jen-Hou Hsu	-0.581	0.103	-52/76	Sheng Feng
115	David Chan	-0.628	0.468	-103/94	HK.Senior Friends
116	Michael Courtney	-0.653	0.023	-92/136	KW
116	Zhang RenDa	-0.653	0.023	-92/136	KW
118	Yang ChienRon	-0.657	-0.062	-50/84	Siyuan
119	ShaoQiang Cai	-0.679	-0.163	-32/62	Xiashun
120	Chian Feng	-0.697	0.089	-66/84	Siyuan
121	Yoke Lan Foo	-0.766	0.139	-67/74	The Young Ones
122	M.Bambang Hartono	-0.798	-0.131	-56/84	Djarum
123	Wang Yuanwei	-0.823	-0.090	-85/116	Jinjiang
124	Wang Mingming	-0.832	0.168	-126/126	KW
125	Tsou ChengMin	-0.857	0.020	-93/106	Siyuan
125	Chen KuoWen	-0.857	0.020	-93/106	Siyuan
127	Chi Tianhe	-0.862	0.000	-81/94	Jinjiang
128	Lu YaPin	-0.909	-0.207	-66/94	CCMSA
129	Zhang K.W.	-0.960	0.256	-141/116	KW
130	Kim Morrison	-1.008	0.012	-51/50	Australia
131	Edmund Tse	-1.018	0.826	-118/64	HK.Senior Friends
132	Chen XiaoJuan	-1.118	-0.189	-78/84	CCMSA
133	Ashok Kumar Goel	-1.137	0.196	-80/60	India
133	Vinay Ishwarlal Desai	-1.137	0.196	-80/60	India
135	Steve Robinson	-1.355	0.074	-120/84	The Young Ones
136	Chung ilsub	-2.031	0.177	-159/72	TOP
136	Sungkyunghae	-2.031	0.177	-159/72	TOP

完牌数量不足1/4排行榜
#1	Player	xButler	AOB	x.P/s	Team
1	Judy	0.753	-0.147	9/10	KW
2	Zhang Wei	0.728	-0.472	24/20	KW
3	Wang BiLan	0.046	0.254	-5/24	Formosa

Butler 计分规则说明

一、Butler计分法的基本概念

定义与用途：Butler 是一种用于团体赛中评估每对牌手得分能力的统计指标，通过计算牌手平均每副牌获得的国际比赛分（IMP）来量化其表现。

适用场景：国际桥牌团体赛（如世界桥联赛事），用于横向比较不同牌手的表现。

核心构成要素

Datum（基准分）：每副牌所有参赛桌得分的平均值（通常去掉最高/最低分以减少偏差）。
xIMP（相对基准分的IMP）：牌手单副牌得分与 Datum 的差值，换算为 IMP（国际比赛分）。

二、Butler值算法与规则

Butler值计算公式：Butler = 牌手累计xIMP / 打牌总副数

意义：表示每对牌手平均每副牌的得分能力，值越大能力越强。

示例：某对牌手6轮比赛累计xIMP为81，打牌96副，则Butler=81/96≈0.844。

Butler值的局限性

对手强度偏差：强对手导致Butler偏低（难得分），弱对手导致虚高。
非排名依据：世界桥联按Butler值排序但不标注名次，因未修正对手差异。

三、修正Butler：消除对手强度影响

AOB（平均对手Butler）：AOB = ∑所有对手Butler值 / 交手对手数

修正Butler：修正Butler = Butler + AOB

意义：综合自身得分与对手强度，更客观反映技术水平。

四、Butler与其他计分法的区别

计分法	计算逻辑	适用场景
Butler IMP	与全场平均分（Datum）比较得xIMP	团体赛牌手个人统计
Cross IMP	本桌得分与其他每桌比较IMP，再取平均	国际双人赛
传统IMP	仅比较两队分差，不涉及全场数据	团体赛胜负判定

五、结论

Butler算法通过基准分标准化和对手强度修正，为团体赛中牌手能力评估提供了量化工具。但需结合比赛牌数（反映教练信任度）和修正Butler综合判断，避免单一数值的片面性。实际应用中，高水平牌手常因对手更强而Butler值偏低，需理性解读数据。

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Yeh Cup 2022 Senior Teams Online Butler