Marcels - The Hockey Edition

[DatsyukToZetterberg]

I was looking for a project that could help me begin to learn how to use R and the one that I settled on was to try an recreate the Marcel Projections from baseball, but for hockey. The Marcels are of the most basic projection systems around and created by Tom Tango to act as a reference point for all other projections. When I googled it I wasn't able to find any examples so I thought this would be a good project to try.

Without going into too much detail Marcels use three seasons of data, with the more recent seasons being more heavily weighted; regresses those weighted numbers towards a league average; and then adjusts those projections by an age adjustment. All rookies are assumed to provide league average production for whatever position they play. This blog post by Tango goes more in-depth with the process and will explain it better than I could.

I decided that the best way to go about projecting a player’s stats was not to use TOI, but to use TOI/GP. I found in previous research that there was little predictive value in using a player’s previous seasons GP to predict a future number of GP. For that reason, I felt it would create more accurate projections if the GP portion of the equation was removed and the projections assumed all players would play 82 games.

The steps are the same to calculate the hockey Marcels, the difference is in some of the values used.

1) The 5/4/3 weights for each season were kept the same and I continued to use league averages as the regression component – though I did split the league averages into F & D categories. I also made the decision to implement a minimum GP of 15 to count as a season played. The regression towards the mean component was changed from 1200 PA to 31 toi/gp for Fowards and 37 toi/gp for Defenceman.

2) The original projected PA formula called for PA = 0.5*N-1PA + 0.1*N-2PA + 200. I couldn’t find a reason for why the specific coefficient values were used or why it was + 200 PA. I assumed the 200 PA was used to provide a baseline and act as floor value. It also worked out that 1/3 of 600 PA is 200. I initially tried the base formula, but found that the projected TOI values were far too low to be reasonable projections. I settled on this formula through trial and error:

• TOI(F) = 0.5*N-1 + 0.2*N-2 + 5
• TOI(D) = 0.5*N-1 + 0.2*N-2+ 6

*The 5 for F is about one-third of 1250/82 and the 6 for D is about one-third of 1500/82*

3) For the age adjustment I lowered the peak to 28 and the values for the adjustments to 0.01 (if under 28) and 0.005 (if over 28). 28 was used because it’s around the age where both F and D see their TOI peak and the values were adjusted because I felt like there should be a slightly higher increase/decrease for aging.

As an example let's calculate McDavid's projected goals for the 2021 season.

Spoiler: McDavid Example

1) First we must calculate McDavid's weighted goals per gp:

Weighted Goals/GP: ((34G/64GP) * 5) + ((41G/78GP)*4) + ((41G/82GP)*3) = 6.2588

2) We calculate the league wide rate of goals per minute and multiply it by McDavid's TOI:

2018: (6290G/456,259 TOI)*(1767/82)*3 = 0.891
2019: (6452G/456,802 TOI)*(1781/78)*4 = 1.290
2020: (5460G/388,451 TOI)*(1399/64)*5 = 1.536
Total expected goals of: 3.717 in 265.27 TOI. The TOI comes from (1767/82)*3 +(1781/78)*4+(1399/64)*5

3) We want to change this number from the 3.717 expected goals in 265.27 weighted TOI to a set rate per 31 minutes. Then we combine the weighted goals and the expected goals per 31 minutes to get a goals per minute:

Goals per 31 minutes: (3.717/265.27)*(31) = 0.4343

We then use this number to calculate McDavid's goals per minute:

Goals per min: (6.2588+0.4343)/((31)+265.27) =0.02259122

4) Then multiply the goals/toi by McDavid's proj TOI and by 82:

Projected TOI: 0.5*(1399/64) + 0.2*(1781/78)+ (5) = 20.50

Proj Goals (Pre Age adj): 0.02259122*20.50*82 = 37.98

5) Apply the aging value:

((28-(2021-1997))*0.01+1)* 37.98= 39.50 ~ 40

These were the only notable changes to the Marcels. With actual projections made the only thing left to do was to compare the projections with how the season actually played out. I decided to use RMSE, R^2, and MAE as my methods to evaluate the accuracy of the model. I believe all three have their merits and can be used to draw helpful conclusions.

The error for the Marcels in the 2018-2019 season:



And the error for the 2019-2020 season:



In this case I included two different samples. One that included all the players that played in the season and had a projection as well as one which included just those that played in at least the past 3 seasons. This was because the Marcel is really designed to only project those with 3 seasons of data and expecting it to project those seasons accurately is unfair.

From first glance the Marcel seems to have been decent at projecting most of the categories as the R^2 values are greater than 0.60, some are over 0.70. Those numbers become more accurate when we limit the sample to just those that had 3 season worth of data with most being in 0.70 to 0.80 range. That’s very promising and shows that overall the Marcels were able to explain quite a bit of the variation. I’ll also add that I did conduct an F-Test for each category and confirmed that the predictions were useful. It’s a little bit harder to tell what the RMSE and MAE mean without comparing them to other projection models. Unfortunately, I wasn’t able to find a ton of public projection models that were easily downloadable, so I used a post from Dom Luszczyszyn to act as my reference point.



The picture is comparing two models for the 2018-2019 season, those being the Left-Wing Lock and Dom’s, and are based on a full 82 GP season for all players. While it’s never specified if Dom used MAE or RMSE in his comparison I make an assumption that he uses MAE due to the lower error values. The Marcel is beaten handedly in some categories by Dom’s model; however, it holds its own against the LWL model in goals, assists, powerplay points, Penalty Minutes, and TOI. While it’s clear that overall the other models are better than the Marcel I think it’s a positive sign that it came close in some categories and wasn’t too far behind in some others.

For the 2019-2020 season I think that while the overall error scores are lower, indicating more accuracy, the R^2 is also lower. I believe this is due to the regular season being cut short and there being a large number of games not played for all players. When I compare the MAE and RMSE values to my own projection model the values are again quite similar and are not too far off in most categories.

The Marcel model clearly has its limitations. It’s a 3 season weighted model which means players without those full 3 seasons will likely have projections that are all over the place. Not just that, but it also regresses players towards a league average. This means that projections will naturally be more conservative than other models. All that said, I think the hockey Marcels are still an excellent baseline for a projection model and are an excellent reference point. If your model is having a hard time beating the Marcel then you should probably re-evaluate it.

I should also reference the links that were quite helpful to me in creating this project. Thanks to Evolving-Hockey, for help with setting up the process; Marcel the Matrix, for help with the R code and a guide I could loosely follow; Beyond the Box Score, for help with setting up the methodology and a process to follow; and Tom Tango for keeping his blog post up so I could have something to reference.

*I have the 2021 projections all ready. I'll attach those in a post below.

Click to read more...

 

[DatsyukToZetterberg]

Spoiler: 2021 Marcel Projections

Player	Pos	Age	TOI	Goals	Assists	Pts	PPG	PPA	PPP	Shots	Blocks	Hits	PIM	FOW	FOL
Connor McDavid	F	24	20.50	40	70	110	9	26	35	252	33	49	30	388	455
Leon Draisaitl	F	25	20.82	41	58	100	13	18	31	228	27	52	35	665	604
Nikita Kucherov	F	27	18.43	36	63	100	8	25	33	241	26	48	48	30	31
Nathan MacKinnon	F	25	20.03	39	59	98	12	21	33	333	33	61	33	452	590
David Pastrnak	F	24	18.23	45	50	96	18	17	36	287	32	68	43	35	41
Brad Marchand	F	32	18.65	32	58	90	7	21	28	207	25	58	81	63	76
Evgeni Malkin	F	34	18.53	31	58	89	10	20	30	224	35	61	83	482	531
Artemi Panarin	F	29	19.28	30	58	88	7	14	21	213	22	31	26	30	32
Auston Matthews	F	23	19.20	48	40	88	12	12	24	302	73	48	17	546	472
Mitch Marner	F	23	19.74	25	63	88	7	21	27	225	45	44	27	50	54
Patrick Kane	F	32	20.17	33	52	86	7	16	23	285	21	32	34	31	33
Steven Stamkos	F	30	17.87	36	50	86	14	15	29	223	44	82	42	458	403
Jack Eichel	F	24	20.14	34	50	84	9	18	27	286	50	68	37	586	685
Sidney Crosby	F	33	19.33	29	55	84	8	20	29	207	36	71	35	855	708
Mikko Rantanen	F	24	18.64	33	49	82	14	16	30	201	44	60	40	80	74
Jonathan Huberdeau	F	27	18.15	27	53	80	7	20	27	194	38	60	36	48	52
Mika Zibanejad	F	27	19.93	40	39	79	15	12	28	254	67	103	30	748	757
Brayden Point	F	24	18.24	33	44	77	11	9	20	192	45	40	24	464	465
Mark Scheifele	F	27	20.27	32	45	77	10	10	21	184	50	59	39	675	737
Aleksander Barkov	F	25	19.48	27	50	77	8	14	22	210	53	37	18	802	691
Sebastian Aho	F	23	18.74	36	41	76	7	13	20	237	29	74	31	410	456
Johnny Gaudreau	F	27	18.41	25	51	76	5	16	22	227	18	21	22	30	32
Elias Pettersson	F	22	17.91	32	44	76	10	16	26	189	55	74	23	189	252
Taylor Hall	F	29	18.52	26	50	76	6	20	26	266	49	66	39	72	82
Alex Ovechkin	F	35	19.52	46	29	75	14	8	23	313	33	177	35	29	30
John Tavares	F	30	18.59	35	40	75	9	13	22	244	41	51	31	730	617
Patrice Bergeron	F	35	18.06	35	39	75	11	14	25	243	58	61	35	847	639
Blake Wheeler	F	34	18.80	21	53	74	4	23	27	203	53	94	46	196	210
Jake Guentzel	F	26	19.19	35	38	74	9	7	15	230	45	114	34	66	71
Mark Stone	F	28	18.68	27	46	73	5	13	18	193	60	75	28	54	60
Kyle Connor	F	24	19.39	38	35	73	10	8	17	246	26	30	30	35	39
Mathew Barzal	F	23	18.61	22	50	72	4	14	19	196	50	37	47	291	392
Teuvo Teravainen	F	26	18.18	21	51	71	6	17	22	196	31	39	16	51	58
Matthew Tkachuk	F	23	17.67	30	41	71	9	13	22	224	24	124	75	35	38
Claude Giroux	F	33	18.78	24	47	70	6	17	23	200	22	45	27	602	433
Evgeny Kuznetsov	F	28	17.68	23	46	70	7	13	20	180	25	54	49	407	551
Patrik Laine	F	22	18.15	36	33	68	14	10	23	264	47	100	35	43	54
Ryan Nugent-Hopkins	F	27	19.25	28	40	68	7	15	22	205	49	62	34	342	368
John Carlson	D	31	23.33	14	54	68	3	25	27	195	135	62	32	0	1
J.T. Miller	F	27	17.98	24	43	67	8	15	23	165	36	135	45	405	333
Brock Boeser	F	23	18.12	29	38	67	8	13	21	243	29	43	26	54	68
Sean Couturier	F	28	19.34	27	40	66	6	8	14	205	42	64	33	568	433
Gabriel Landeskog	F	28	19.25	30	37	66	9	13	21	215	55	129	54	334	290
Sean Monahan	F	26	17.86	29	37	66	10	10	20	204	26	60	25	567	536
Nicklas Backstrom	F	33	18.50	18	47	66	5	17	22	163	45	50	29	605	616
Dylan Larkin	F	24	20.00	24	41	65	5	9	14	259	46	78	59	750	676
David Perron	F	32	17.57	26	39	65	7	15	22	166	24	91	57	60	74
Jakub Voracek	F	31	17.26	17	48	65	4	16	20	182	29	30	35	38	43
Anze Kopitar	F	33	19.98	24	41	65	5	15	20	156	58	58	23	800	662
Filip Forsberg	F	26	17.40	30	35	64	10	7	17	245	39	113	39	32	35
Ryan O'Reilly	F	29	19.44	20	44	64	6	13	19	182	42	37	13	949	706
Tyler Seguin	F	29	18.72	27	37	64	7	13	20	281	40	85	28	594	477
Jonathan Toews	F	32	19.09	24	40	64	4	10	14	203	37	55	46	867	658
Alex DeBrincat	F	23	17.29	30	33	63	11	8	19	229	29	62	19	46	52
Travis Konecny	F	23	16.45	28	35	63	4	11	16	192	48	89	43	48	53
Phil Kessel	F	33	17.17	22	40	62	10	17	27	195	22	23	29	32	35
Elias Lindholm	F	26	18.87	27	36	62	8	11	19	183	44	100	25	446	411
Anthony Mantha	F	26	18.01	28	33	61	9	6	15	235	40	94	52	54	64
Mike Hoffman	F	31	16.99	29	32	61	11	13	24	233	29	45	31	40	43
Tomas Hertl	F	27	18.02	28	33	61	6	6	13	187	57	67	30	613	551
Andrei Svechnikov	F	20	16.30	26	35	61	4	12	16	221	35	141	66	42	45
Brayden Schenn	F	29	17.95	24	37	61	7	10	17	171	32	129	47	410	437
Logan Couture	F	31	17.98	26	34	61	4	12	16	194	61	69	25	249	297
Nikolaj Ehlers	F	24	16.41	29	32	60	4	5	9	229	31	50	31	33	34
Reilly Smith	F	29	17.61	25	35	60	5	7	11	189	35	59	24	33	36
Torey Krug	D	29	20.51	11	50	60	3	28	31	187	77	70	42	0	0
William Nylander	F	24	17.21	25	35	60	6	8	15	217	23	31	21	251	230
Jonathan Marchessault	F	30	17.27	25	35	60	6	9	15	264	23	107	41	140	184
William Karlsson	F	28	18.20	25	34	60	5	7	12	173	48	57	20	508	515
Sam Reinhart	F	25	19.10	25	35	60	6	10	16	185	42	53	25	71	100
Bryan Rust	F	28	18.06	27	32	60	6	6	12	188	56	120	37	37	47
Evgenii Dadonov	F	31	17.22	27	32	59	9	7	16	187	35	41	13	29	29
Bo Horvat	F	25	19.04	26	33	59	10	7	17	209	60	65	27	907	743
David Krejci	F	34	17.13	19	40	58	5	10	16	132	37	47	25	487	485
Timo Meier	F	24	17.04	27	31	58	4	6	10	244	48	142	54	58	69
Pierre-Luc Dubois	F	22	17.51	24	35	58	3	9	12	187	55	118	59	440	551
Roman Josi	D	30	23.93	15	43	58	4	14	18	259	128	69	40	0	0
Victor Hedman	D	30	22.58	13	45	58	3	21	24	188	112	95	44	0	1
Matt Duchene	F	30	17.21	23	35	58	6	7	13	173	38	52	22	557	463
Alexander Radulov	F	34	17.33	23	34	58	7	10	17	188	63	68	57	32	36
Jaden Schwartz	F	28	17.72	22	36	57	6	8	14	192	34	73	25	47	52
Brent Burns	D	35	23.73	12	45	57	5	15	20	253	116	83	37	0	0
Erik Karlsson	D	30	23.16	7	50	57	2	18	20	193	109	59	31	0	0
Tomas Tatar	F	30	16.43	24	33	57	7	5	13	187	31	85	38	37	48
Max Domi	F	25	17.02	20	36	57	2	9	11	194	29	55	60	370	417
Evander Kane	F	29	18.45	30	26	56	9	6	15	270	32	163	125	132	142
Max Pacioretty	F	32	17.36	27	28	56	7	9	16	267	34	122	43	58	61
Josh Bailey	F	31	16.81	17	39	56	3	13	16	131	42	30	19	125	129
Kevin Fiala	F	24	15.83	23	33	56	6	10	17	206	27	48	43	34	38
Dylan Strome	F	23	16.20	20	35	55	5	8	12	156	49	39	29	419	472
Eric Staal	F	36	17.19	25	30	55	7	8	15	177	32	43	35	531	522
Nico Hischier	F	22	17.65	21	34	55	3	9	12	192	52	73	27	566	613
Ryan Getzlaf	F	35	18.25	15	40	55	2	10	12	154	73	138	58	531	503
Brendan Gallagher	F	28	16.74	30	25	55	4	6	10	286	39	97	42	62	68
Rickard Rakell	F	27	17.77	23	32	55	6	8	14	222	38	103	23	63	68
Morgan Rielly	D	26	22.72	10	45	55	1	16	17	206	113	69	29	0	1
Chris Kreider	F	29	17.11	27	27	55	9	6	15	200	48	149	64	71	88
Brady Tkachuk	F	21	17.67	26	29	54	4	7	11	279	45	274	103	157	172
Tyler Bertuzzi	F	25	17.96	22	32	54	3	7	11	162	49	95	52	38	43
T.J. Oshie	F	34	17.87	25	29	54	9	6	15	152	60	122	34	128	142
Kyle Palmieri	F	29	17.18	29	25	54	12	9	21	213	47	104	45	49	74
Brock Nelson	F	29	18.02	26	28	54	4	5	9	186	54	63	38	569	574
Cam Atkinson	F	31	17.80	28	26	54	5	7	13	260	34	41	18	58	74
Clayton Keller	F	22	16.80	19	35	54	3	15	18	210	24	29	30	51	62
Pavel Buchnevich	F	25	16.50	22	32	54	6	8	15	174	33	89	27	40	56
Jakub Vrana	F	24	15.25	26	28	54	2	8	9	201	28	52	26	41	41
Kris Letang	D	33	24.05	15	39	54	4	14	18	215	117	123	51	0	0
Anthony Cirelli	F	23	17.20	22	31	53	1	3	4	150	52	109	38	516	546
Nazem Kadri	F	30	16.95	26	27	53	7	9	16	206	21	98	85	516	436
Viktor Arvidsson	F	27	16.93	30	23	53	4	4	9	220	39	41	37	38	44
James van Riemsdyk	F	31	15.77	28	24	53	8	7	14	203	24	46	22	36	38
Zach Parise	F	36	17.33	27	26	53	9	5	15	202	57	50	22	50	54
Kailer Yamamoto	F	22	16.30	23	30	53	4	3	7	125	50	125	30	43	42
Anders Lee	F	30	17.56	28	25	53	7	6	14	210	50	109	52	92	101
Jamie Benn	F	31	16.86	25	27	52	8	7	14	189	61	149	53	262	236
Oliver Bjorkstrand	F	25	16.44	27	25	52	4	4	9	226	39	74	19	39	46
Nick Schmaltz	F	24	16.33	16	36	52	5	9	15	127	37	25	23	233	336
Kevin Hayes	F	28	17.52	24	27	52	5	5	10	188	28	80	28	496	497
Vincent Trocheck	F	27	17.29	18	34	52	5	10	15	207	50	133	60	598	542
Jason Zucker	F	29	16.58	25	26	52	7	7	15	185	38	82	33	37	50
Tyson Barrie	D	29	21.29	11	41	52	3	18	21	196	94	59	28	0	0
Ryan Strome	F	27	17.91	20	32	51	4	9	13	161	35	68	54	434	487
Robert Thomas	F	21	14.89	14	37	51	3	7	10	125	27	34	25	174	215
Ryan Johansen	F	28	17.44	16	35	51	2	11	13	131	34	76	53	659	567
Jordan Eberle	F	30	17.21	22	29	51	5	7	13	182	43	54	21	37	41
Jake Debrusk	F	24	16.26	26	24	51	7	5	13	200	30	68	24	43	56
Phillip Danault	F	27	17.98	15	36	51	1	4	5	151	53	114	43	737	619
Cale Makar	D	22	16.51	12	39	51	4	14	18	137	67	65	20	0	0
Dougie Hamilton	D	27	21.57	19	32	51	3	10	13	262	101	114	56	0	1
Mikael Granlund	F	28	17.57	20	31	50	4	10	14	180	53	57	29	116	124
Mats Zuccarello	F	33	16.94	17	33	50	3	11	15	146	54	57	31	41	51
Zach Hyman	F	28	18.01	25	25	50	2	3	5	165	44	104	49	124	146
Paul Stastny	F	35	17.18	18	32	50	4	5	9	153	32	62	31	649	541
Joe Pavelski	F	36	17.27	23	26	50	8	9	16	171	58	77	31	423	366
Tom Wilson	F	26	17.76	24	26	50	4	3	7	172	64	265	141	56	65
Rasmus Dahlin	D	20	19.88	7	42	50	4	18	22	155	82	108	47	0	0
Ryan Ellis	D	30	22.56	11	39	50	2	7	9	168	147	73	24	0	0
Thomas Chabot	D	24	23.86	12	38	50	1	14	14	200	116	92	41	0	0
Alex Killorn	F	31	16.94	22	27	49	5	5	10	158	25	83	37	38	46
Andre Burakovsky	F	25	14.83	22	27	49	3	7	9	146	44	56	32	44	48
John Klingberg	D	28	21.99	9	40	49	3	18	21	172	100	53	26	0	0
Jonathan Drouin	F	25	16.24	19	30	49	3	12	16	173	24	71	35	149	194
Gustav Nyquist	F	31	17.52	19	29	49	3	7	10	188	31	53	19	41	41
Kevin Labanc	F	25	15.84	17	32	49	4	12	16	183	28	64	42	37	44
Alex Pietrangelo	D	31	22.91	14	34	49	4	13	17	205	129	63	25	0	0
Keith Yandle	D	34	20.34	7	42	49	3	20	23	155	75	39	33	0	0
Jesper Bratt	F	22	15.03	18	30	49	3	9	12	148	34	59	16	37	40
Ondrej Kase	F	25	16.41	22	26	48	2	5	7	229	33	45	19	45	67
Victor Olofsson	F	25	14.19	22	26	48	11	7	18	152	24	32	14	49	49
Dustin Brown	F	36	18.29	22	26	48	5	5	10	190	27	155	33	34	42
Patric Hornqvist	F	34	16.06	25	23	48	8	7	14	239	55	155	47	37	38
Mikael Backlund	F	31	17.55	18	29	47	3	6	8	191	26	58	47	476	495
Ondrej Palat	F	29	16.07	16	31	47	4	6	11	148	59	139	24	36	49
Seth Jones	D	26	23.81	10	36	47	3	11	14	196	149	101	31	0	0
Andreas Athanasiou	F	26	16.31	22	24	46	3	6	10	208	35	51	38	137	175
Andreas Johnsson	F	26	15.61	20	27	46	6	3	9	159	43	85	34	43	47
Anthony Duclair	F	25	15.67	25	21	46	7	3	9	196	46	69	25	36	39
Adam Henrique	F	30	16.73	23	23	46	6	5	11	158	52	79	25	508	462
Yanni Gourde	F	29	15.20	18	28	46	4	5	9	135	32	82	55	146	145
Quinn Hughes	D	21	16.94	7	39	46	2	18	20	124	60	31	26	0	0
Zach Werenski	D	23	22.57	18	28	46	4	10	14	209	93	67	20	0	0
Jeff Skinner	F	28	16.95	26	20	46	4	6	9	249	23	45	32	96	105
Anthony DeAngelo	D	25	19.51	10	36	46	2	16	17	174	102	79	66	1	0
Jakob Silfverberg	F	30	17.26	23	23	46	4	6	10	184	51	50	24	43	62
Mark Giordano	D	37	22.79	10	35	46	2	12	14	192	154	68	52	0	0
Chris Tierney	F	26	17.00	14	32	46	2	5	7	128	48	48	24	524	503
Tyler Toffoli	F	28	16.87	22	23	45	5	5	10	232	23	63	24	41	46
Joe Thornton	F	41	15.86	14	31	45	5	10	15	102	27	36	37	335	321
Alex Tuch	F	24	15.66	19	26	45	5	6	11	196	44	111	20	68	91
Ryan Suter	D	36	23.66	7	38	45	2	14	16	125	107	69	27	0	0
Ryan Dzingel	F	28	15.44	19	26	45	5	6	10	144	32	59	35	50	62
Justin Williams	F	39	15.29	22	22	45	6	5	11	204	32	70	36	66	89
Dominik Kahun	F	25	14.47	17	27	44	2	2	4	145	34	27	15	69	77
Conor Garland	F	24	14.63	26	19	44	6	6	12	208	32	58	27	50	51
Shea Theodore	D	25	21.14	12	32	44	2	11	13	220	96	42	27	0	0
Anthony Beauvillier	F	23	16.56	23	21	44	3	4	8	174	43	106	20	65	71
Dominik Kubalík	F	25	12.18	26	18	44	4	4	8	154	22	82	21	54	59
Erik Haula	F	29	16.24	19	24	44	6	6	12	158	34	66	42	492	448
Tyler Johnson	F	30	15.46	21	22	44	2	7	9	158	35	66	25	248	255
Alexander Kerfoot	F	26	15.36	16	27	44	4	9	12	123	44	55	40	261	273
Brandon Saad	F	28	16.91	24	20	44	3	1	4	200	29	53	20	60	72
Nino Niederreiter	F	28	15.65	19	24	44	6	7	13	165	26	81	43	46	45
Kasperi Kapanen	F	24	16.22	19	24	43	1	3	4	170	26	111	27	36	44
Brett Connolly	F	28	14.91	22	21	43	4	2	6	140	28	77	33	41	49
Ilya Kovalchuk	F	37	16.73	18	25	43	4	6	10	182	34	71	25	50	58
Jared McCann	F	24	15.53	19	25	43	2	3	6	189	46	97	33	314	385
Erik Gustafsson	D	28	20.71	11	32	43	2	10	12	149	100	100	31	0	1
Tanner Pearson	F	28	16.06	21	22	43	3	5	8	179	44	121	31	41	49
Roope Hintz	F	24	15.19	21	21	43	4	10	14	166	47	116	31	276	258
Drew Doughty	D	31	24.23	8	34	42	5	12	17	158	109	129	43	0	0
Nikita Gusev	F	28	12.35	14	28	42	5	9	13	153	14	32	17	49	49
Joonas Donskoi	F	28	15.81	18	24	42	3	3	6	147	43	45	28	37	42
Alex Galchenyuk	F	26	14.30	17	25	42	6	10	17	163	33	67	29	135	147
Mikhail Sergachev	D	22	19.77	10	32	42	3	10	13	158	115	125	54	0	0
Marcus Johansson	F	30	16.76	15	26	42	2	7	10	139	32	50	27	157	213
Craig Smith	F	31	14.74	22	20	42	5	4	10	213	32	76	31	52	56
Lars Eller	F	31	16.81	17	25	42	2	4	6	171	54	75	45	525	518
Kyle Turris	F	31	15.85	13	28	42	5	9	13	129	32	37	35	366	368
Oskar Lindblom	F	24	16.55	22	20	42	4	3	8	185	51	93	23	48	56
Andrew Shaw	F	29	15.41	16	25	42	4	4	8	157	38	173	87	206	214
Charlie Coyle	F	28	16.75	16	26	42	1	4	5	161	54	92	25	327	359
Alex Iafallo	F	27	17.83	17	25	42	4	4	8	163	51	76	21	42	46
Jeff Carter	F	36	17.10	22	19	42	7	6	13	209	32	84	35	520	475
Drake Batherson	F	22	15.46	14	27	41	6	12	18	119	63	140	41	54	48
Connor Brown	F	27	17.81	16	26	41	2	2	4	156	40	49	26	65	81
Shea Weber	D	35	22.70	16	25	41	5	5	10	205	142	152	39	0	0
Carl Soderberg	F	35	16.44	19	22	41	4	5	9	159	54	87	25	363	407
Aaron Ekblad	D	24	22.21	10	31	41	3	6	9	177	106	79	47	0	0
Christian Dvorak	F	24	16.23	17	24	41	5	4	9	151	42	74	19	562	481
Danton Heinen	F	25	15.03	15	26	41	3	7	9	144	41	59	19	37	42
Jeff Petry	D	33	22.45	11	30	41	3	10	13	163	109	172	29	0	0
Charlie McAvoy	D	23	22.02	8	32	41	2	3	5	123	142	157	61	0	0
Neal Pionk	D	25	21.92	6	35	41	2	17	19	172	109	164	39	0	0
Mathew Dumba	D	26	21.92	15	25	41	5	10	15	193	108	129	47	0	0
Joel Armia	F	27	16.77	20	20	40	3	4	7	200	39	167	33	38	49
Frank Vatrano	F	26	15.44	22	19	40	2	3	5	204	58	133	49	48	58
Alexander Edler	D	34	22.22	8	32	40	2	12	14	162	203	152	71	0	0
Nick Suzuki	F	21	12.99	14	26	40	5	7	12	139	33	71	13	271	307
Nick Ritchie	F	25	15.08	15	25	40	3	5	8	147	37	189	122	36	43
Filip Hronek	D	23	21.94	10	30	40	2	9	11	151	89	131	57	0	0
James Neal	F	33	16.15	21	19	40	9	6	15	182	29	87	28	37	42
Pavel Zacha	F	23	16.35	14	25	40	4	5	9	145	32	94	27	407	481
Jared Spurgeon	D	31	22.12	12	27	40	3	10	13	138	135	84	21	0	1
Tyler Bozak	F	34	15.93	15	25	40	3	6	8	147	36	53	22	464	394
Zach Sanford	F	26	14.39	19	21	40	1	2	3	134	50	120	38	45	48
Derek Stepan	F	30	17.67	14	26	40	2	7	9	190	54	57	21	616	677
Ryan Pulock	D	26	21.68	11	29	40	4	6	10	197	148	140	23	0	0
Martin Necas	F	22	12.09	17	22	40	5	5	10	110	25	77	25	61	79
Adrian Kempe	F	24	15.91	16	24	40	2	7	9	161	25	98	47	240	331
Vladislav Namestnikov	F	28	15.69	18	21	40	4	4	7	135	55	121	48	108	123
Scott Laughton	F	26	15.28	18	22	40	1	1	1	141	45	164	50	314	278
Jordan Staal	F	32	17.41	15	25	39	2	4	6	161	35	168	39	734	596
Rasmus Ristolainen	D	26	22.33	6	33	39	1	13	15	165	110	215	47	0	0
Adam Gaudette	F	24	13.38	15	24	39	4	8	12	118	31	69	44	263	362
Ilya Mikheyev	F	26	12.78	14	25	39	1	1	2	161	26	56	14	52	50
Jean-Gabriel Pageau	F	28	18.15	20	19	39	3	3	6	175	69	140	44	598	533
Calle Jarnkrok	F	29	16.05	17	22	39	2	5	7	146	33	53	19	165	163
Colin White	F	24	16.09	13	26	39	3	4	6	134	48	59	42	332	381
Vinnie Hinostroza	F	26	14.60	13	26	39	2	3	5	167	38	71	20	70	87
Tyler Ennis	F	31	14.35	18	20	38	4	5	9	169	34	97	19	37	39
J.T. Compher	F	25	16.87	17	21	38	4	5	9	151	73	55	30	371	406
Sam Steel	F	22	15.77	16	22	38	1	8	10	133	32	48	31	431	435
Jack Roslovic	F	24	14.40	15	23	38	3	2	5	133	30	68	14	111	127
Nate Schmidt	D	29	21.23	9	30	38	1	9	10	138	125	50	18	0	0
Andrew Mangiapane	F	24	13.96	20	18	38	1	2	2	149	37	98	28	54	63
Filip Zadina	F	21	12.59	19	19	38	8	7	15	150	28	45	13	53	51
Miro Heiskanen	D	21	22.50	10	28	38	1	7	8	189	98	57	21	0	0
Travis Boyd	F	27	12.84	12	26	38	1	4	5	98	36	52	14	174	243
Mikko Koivu	F	37	16.44	11	27	38	2	10	13	131	47	41	38	621	550
Nick Foligno	F	33	17.88	16	22	38	2	3	5	154	57	202	57	219	225
Jake Virtanen	F	24	14.51	19	19	38	4	2	6	185	41	160	53	39	46
Blake Coleman	F	29	16.76	22	16	38	2	2	4	215	54	222	65	144	191
Nick Bonino	F	32	16.52	18	19	38	2	1	3	123	83	33	22	545	492
Zack Kassian	F	30	15.79	17	20	38	1	1	2	134	18	193	98	34	40
Oliver Ekman-Larsson	D	29	22.24	12	26	38	4	9	12	167	75	150	46	0	0
Shayne Gostisbehere	D	27	19.07	10	28	38	4	12	16	171	98	50	32	0	0
Jacob Trouba	D	26	21.86	7	30	38	3	8	10	183	152	149	59	0	0
Derek Ryan	F	34	15.03	14	24	38	2	4	7	125	32	36	22	435	358
Ryan Donato	F	24	13.05	18	19	37	2	5	8	171	29	67	18	72	90
Derick Brassard	F	33	14.85	16	21	37	4	5	8	149	26	117	32	322	317
Josh Morrissey	D	25	21.87	7	30	37	2	9	11	137	127	86	34	0	0
Mattias Ekholm	D	30	22.36	9	29	37	2	6	8	152	112	71	42	0	0
Josh Leivo	F	27	15.31	15	22	37	2	7	8	170	28	49	28	55	52
Adam Fox	D	22	15.45	7	30	37	1	10	11	121	93	51	33	0	0
Jake Muzzin	D	31	21.07	9	28	37	1	4	6	147	143	163	50	0	0
Oscar Klefbom	D	27	23.51	7	30	37	2	14	15	213	178	67	28	0	0
Bobby Ryan	F	33	14.89	16	21	36	3	4	7	149	49	111	45	38	39
Paul Byron	F	31	15.07	17	19	36	1	2	3	115	50	132	21	44	59
Boone Jenner	F	27	17.47	16	21	36	2	3	5	199	83	161	44	570	475
Andrew Copp	F	26	16.28	14	22	36	1	1	2	141	45	96	17	338	301
Ivan Provorov	D	24	23.44	12	24	36	4	6	9	169	145	120	30	0	0
Martin Frk	F	27	13.75	19	17	36	5	2	7	133	19	99	22	34	35
Rocco Grimaldi	F	27	13.33	13	23	36	1	1	2	158	29	54	20	44	46
Luke Kunin	F	23	15.91	16	20	36	1	2	3	170	60	119	62	212	258
Robby Fabbri	F	25	15.61	16	20	36	5	3	8	149	25	100	27	63	77
Travis Zajac	F	35	17.41	15	21	36	3	4	7	108	42	72	28	643	547
Alex Chiasson	F	30	14.96	18	18	36	6	6	13	127	32	86	43	36	47
Darnell Nurse	D	25	22.49	7	28	35	0	5	6	190	152	171	66	0	0
Will Butcher	D	26	18.81	6	30	35	1	10	11	108	97	50	17	0	0
Matt Calvert	F	31	14.89	16	20	35	1	1	2	147	44	100	55	54	62
Artem Anisimov	F	32	15.20	20	15	35	6	2	9	144	39	28	19	330	366
Dominik Simon	F	26	14.87	12	24	35	1	2	3	143	34	99	28	46	56
Miles Wood	F	25	14.36	17	18	35	2	2	3	199	35	122	91	33	34
Kevin Shattenkirk	D	32	19.24	7	28	35	2	9	10	153	100	80	44	0	0
Alexander Wennberg	F	26	16.36	8	27	35	2	5	7	101	45	44	21	396	452
Jordan Greenway	F	23	14.81	13	22	35	1	3	4	132	51	100	52	62	68
Damon Severson	D	26	21.89	10	25	35	2	7	10	142	100	102	56	0	0
Wayne Simmonds	F	32	15.60	16	19	35	6	5	11	155	38	141	73	44	53
Jaccob Slavin	D	26	22.31	8	27	35	2	3	5	157	135	65	17	0	0
Richard Panik	F	29	13.99	14	20	35	1	2	3	129	39	124	45	37	39
Jesper Fast	F	29	16.45	14	21	35	1	1	1	110	58	146	30	41	49
Filip Chytil	F	21	15.17	18	16	35	3	4	7	169	39	42	18	209	308
Jayce Hawryluk	F	25	12.42	14	20	35	1	2	3	103	43	207	46	60	59
Conor Sheary	F	28	14.48	16	19	35	3	3	5	150	34	43	16	38	38
Samuel Girard	D	22	20.64	5	29	35	1	12	13	123	107	71	18	0	0
Troy Terry	F	23	15.04	11	23	35	3	7	10	120	28	26	14	44	49
Jake Gardiner	D	30	18.57	4	30	34	1	9	10	106	76	64	33	0	0
Corey Perry	F	35	14.83	13	21	34	3	7	10	140	40	71	75	30	36
Pat Maroon	F	32	14.04	13	21	34	2	6	8	126	17	135	73	35	34
Kyle Okposo	F	32	14.18	15	20	34	4	5	10	145	29	84	41	73	73
Derek Grant	F	30	14.29	17	18	34	3	1	3	131	45	107	33	455	419
Denis Gurianov	F	23	13.66	18	16	34	5	6	11	156	35	99	16	44	44
Lawson Crouse	F	23	14.38	17	17	34	1	1	2	152	44	262	55	66	69
P.K. Subban	D	31	21.59	10	24	34	3	9	12	181	97	94	76	0	0
Cam Fowler	D	29	21.67	9	25	34	2	8	9	136	104	44	29	0	0
Cody Eakin	F	29	15.36	15	19	34	1	2	3	121	37	85	25	476	473
Patrick Marleau	F	41	16.06	17	17	34	3	3	6	153	31	73	21	102	99
Mathieu Perreault	F	33	14.00	15	18	34	4	4	8	128	31	123	34	54	48
Lucas Wallmark	F	25	14.35	14	19	34	3	5	8	130	38	84	31	485	474
Oskar Sundqvist	F	26	14.96	15	18	34	1	1	2	141	39	109	36	243	306
Drake Caggiula	F	26	13.80	18	15	33	2	1	3	138	39	177	53	44	62
Tyson Jost	F	22	13.98	14	19	33	4	4	8	154	35	70	29	117	189
Sami Vatanen	D	29	21.22	7	27	33	2	10	12	160	125	99	39	0	0
Teddy Blueger	F	26	15.12	16	17	33	1	1	2	130	45	130	40	328	391
Duncan Keith	D	37	22.80	4	29	33	1	7	9	143	140	46	38	0	0
Artturi Lehkonen	F	25	15.83	15	18	33	1	1	2	182	40	122	31	41	46
Devon Toews	D	26	19.84	8	25	33	1	6	7	147	84	68	19	0	1
Warren Foegele	F	24	14.35	16	17	33	1	1	2	154	26	112	36	56	58
Alex Steen	F	36	15.19	12	20	33	2	4	6	130	58	55	20	40	44
Carl Hagelin	F	32	15.11	11	22	33	1	1	1	152	31	75	31	43	51
Joel Eriksson Ek	F	24	15.55	12	21	33	1	1	2	162	52	153	32	392	464
Jimmy Vesey	F	27	15.11	16	17	33	1	3	4	144	33	77	23	36	44
Josh Anderson	F	26	16.44	17	16	32	2	3	4	213	39	183	53	49	61
Ivan Barbashev	F	25	14.03	15	17	32	1	1	1	97	42	138	24	192	233
Brandon Tanev	F	29	15.20	15	18	32	1	1	2	131	78	270	31	36	40
Jason Spezza	F	37	13.07	11	21	32	3	8	11	126	30	29	26	372	296
Sonny Milano	F	24	11.55	14	19	32	1	4	5	108	21	47	29	38	38
Colton Parayko	D	27	22.06	10	23	32	3	4	7	189	141	118	20	0	0
Nicolas Aube-Kubel	F	24	10.64	15	18	32	4	3	7	109	33	143	37	53	54
Marcus Foligno	F	29	14.69	13	19	32	1	1	2	121	51	229	58	44	48
Jesperi Kotkaniemi	F	20	14.25	15	17	32	2	4	6	152	44	107	45	339	416
Antti Suomela	F	26	12.12	9	23	32	1	1	2	118	31	86	20	267	279
Jakob Chychrun	D	22	21.27	11	21	32	5	5	10	189	129	118	45	0	0
Joel Farabee	F	20	12.05	13	19	32	2	2	4	122	28	56	49	55	59
Mikkel Boedker	F	31	12.66	11	21	32	2	3	5	121	28	59	10	35	41
Radek Faksa	F	27	16.23	16	16	32	2	1	4	134	58	107	49	514	505
Sam Gagner	F	31	14.60	13	18	32	3	3	7	166	24	57	32	156	170
Alex Goligoski	D	35	21.69	6	26	32	2	8	10	113	148	99	25	0	0
Hampus Lindholm	D	27	22.34	7	25	32	2	7	9	147	119	82	46	0	0
Nick Cousins	F	27	14.46	13	19	32	3	2	5	155	47	125	41	146	173
Alexander Nylander	F	22	11.07	13	19	32	1	3	4	116	21	48	17	56	63
Zach Aston-Reese	F	26	14.94	16	16	32	1	1	1	151	53	244	40	43	54
Noah Hanifin	D	24	20.74	7	25	32	1	5	6	153	99	99	20	0	0
Antoine Roussel	F	31	13.67	12	19	32	1	2	3	116	45	105	112	47	45
Valtteri Filppula	F	36	16.16	13	19	32	2	3	4	88	41	34	24	394	424
Mike Green	D	35	20.77	7	24	32	1	7	8	140	100	99	47	0	0
Matt Luff	F	23	12.42	14	17	31	2	1	3	136	39	75	21	43	52
Matt Niskanen	D	34	21.34	8	23	31	2	5	7	139	112	142	38	0	0
Vince Dunn	D	24	17.64	10	21	31	3	7	10	162	74	61	37	0	0
Casey Cizikas	F	29	14.95	18	13	31	1	1	1	125	69	180	50	571	531
Ryan Murray	D	27	20.27	4	27	31	0	3	3	98	143	53	18	0	0
Evan Rodrigues	F	27	13.81	12	19	31	2	3	5	160	35	48	28	266	311
Denis Malgin	F	24	13.58	13	18	31	2	3	5	122	37	78	25	116	156
Brendan Lemieux	F	24	13.24	15	17	31	2	3	6	132	63	210	147	60	73
Valeri Nichushkin	F	25	14.42	12	19	31	1	1	2	139	40	113	16	44	44
Casey Mittelstadt	F	22	14.08	14	17	31	3	5	9	127	25	47	14	246	311
Dillon Dube	F	22	13.36	11	20	31	2	2	4	121	25	92	19	65	78
Justin Schultz	D	30	20.04	5	26	31	1	11	12	141	107	68	17	0	0
Barclay Goodrow	F	27	15.17	12	19	31	1	2	2	126	73	163	89	385	358
Travis Sanheim	D	24	19.99	8	23	31	1	4	4	138	110	61	36	0	0
Brian Boyle	F	36	13.88	16	15	31	5	2	7	135	54	141	42	339	321
Brandon Montour	D	26	20.24	8	23	31	2	5	6	153	98	98	46	0	0
Ryan Hartman	F	26	13.75	13	18	31	1	1	2	150	51	94	76	93	93
Michael Frolik	F	32	13.89	13	17	31	0	1	1	143	33	61	34	44	54
Ryan McDonagh	D	31	20.77	5	26	31	0	4	4	106	159	81	31	0	0
Brett Howden	F	22	14.56	12	19	31	1	3	4	104	70	91	30	359	381
Mattias Janmark	F	28	15.35	11	19	30	2	3	5	122	45	35	23	62	76
Brandon Pirri	F	29	14.17	15	15	30	4	2	6	167	32	85	32	67	64
Max Comtois	F	22	11.98	13	17	30	4	3	8	96	24	133	52	56	74
Josh Archibald	F	28	14.33	15	15	30	1	1	1	109	50	196	28	47	60
Matthew Nieto	F	28	14.50	11	19	30	1	1	1	112	39	55	14	36	37
Nick Leddy	D	29	20.87	6	25	30	1	7	9	117	97	87	21	0	0
Devin Shore	F	26	13.67	11	19	30	2	5	7	108	47	93	18	107	126
Alexandre Texier	F	21	11.38	13	16	30	1	3	4	112	20	54	24	84	112
Jordan Weal	F	28	14.50	13	17	30	3	4	8	135	36	51	25	238	214
Trevor Moore	F	25	13.27	13	17	30	1	1	2	129	35	101	16	46	53
Emil Bemstrom	F	21	11.13	14	16	30	6	4	10	132	26	74	17	56	61
John Marino	D	23	16.12	7	23	30	1	4	5	84	95	90	27	0	0
Marcus Sorensen	F	28	14.52	15	15	30	1	1	1	111	34	88	29	40	49
Kirby Dach	F	20	12.13	11	19	30	1	4	5	123	29	52	29	113	172
Rudolfs Balcers	F	23	13.54	11	19	30	3	2	5	139	49	89	16	42	52
Michael Grabner	F	33	14.06	18	11	30	1	1	2	133	30	57	17	34	38
Chandler Stephenson	F	26	14.58	12	17	30	1	1	2	87	46	65	16	181	204
Zack MacEwen	F	24	9.79	20	9	30	1	1	2	93	26	153	72	55	55
Dmitry Orlov	D	29	21.41	5	24	30	1	3	4	115	103	124	34	0	0
Nicolas Roy	F	23	10.71	14	16	29	3	1	4	118	23	98	24	225	238
Tyler Myers	D	30	20.83	7	22	29	1	8	9	152	116	100	55	0	0
Kaapo Kakko	F	19	12.14	13	17	29	3	10	13	128	19	41	21	54	56
Jordan Kyrou	F	22	12.38	12	17	29	1	3	3	128	27	37	29	51	48
Austin Watson	F	29	13.71	14	15	29	1	1	2	117	71	206	98	45	44
Anders Bjork	F	24	13.83	12	17	29	2	2	4	106	41	64	18	36	36
Colton Sissons	F	27	15.37	14	15	29	1	2	3	111	54	122	32	423	379
Brandon Sutter	F	31	15.91	14	15	29	2	2	4	138	35	69	29	502	508
Colin Miller	D	28	18.50	5	25	29	2	9	11	148	75	144	45	0	0
Joey Anderson	F	22	14.19	17	12	29	1	1	2	128	33	98	18	57	56
Logan Brown	F	22	10.87	7	22	29	3	6	9	93	35	55	18	178	233
Colin Blackwell	F	27	10.48	10	19	29	1	1	2	97	53	105	28	119	104
Sam Bennett	F	24	13.92	15	14	29	2	3	5	150	31	150	73	130	119
Morgan Frost	F	21	11.85	10	19	29	1	1	2	121	20	35	20	167	180
Mathieu Joseph	F	23	13.03	14	15	29	1	1	2	117	26	135	38	51	65
T.J. Brodie	D	30	20.52	6	23	29	1	4	5	101	101	35	32	0	0
David Backes	F	36	12.31	10	19	29	3	3	6	150	32	144	57	153	158
Esa Lindell	D	26	22.57	7	22	29	2	5	8	129	145	116	26	0	0
Jason Dickinson	F	25	15.16	10	19	29	1	1	2	123	61	142	32	276	336
Loui Eriksson	F	35	14.00	12	17	29	1	2	3	119	32	22	19	32	32
Jack Hughes	F	19	12.93	11	18	29	4	6	10	145	28	35	18	195	305
Blake Lizotte	F	23	11.98	9	19	29	2	2	5	107	27	57	25	296	295
Brock McGinn	F	26	14.46	12	16	29	1	1	2	138	34	123	24	49	57
Michael Raffl	F	32	13.46	12	16	28	1	1	2	104	42	109	31	97	96
Michael Amadio	F	24	13.55	12	16	28	1	4	5	118	32	48	20	260	301
Adam Lowry	F	27	15.41	12	16	28	1	1	2	127	46	220	33	602	486
Austin Wagner	F	23	12.66	15	14	28	1	1	2	154	26	197	43	47	50
Tyler Pitlick	F	29	13.70	14	14	28	1	1	2	127	53	152	22	38	48
Ryan Graves	D	25	17.69	11	17	28	0	1	1	141	181	132	38	0	0
Frans Nielsen	F	36	15.18	11	17	28	1	5	6	127	49	69	16	369	409
Noel Acciari	F	29	15.58	18	10	28	1	1	1	131	81	198	35	297	317
Sean Kuraly	F	28	14.40	10	18	28	1	1	2	147	38	161	44	330	335
Mike Matheson	D	26	19.48	9	18	28	1	4	5	144	112	68	39	0	0
Brett Pesce	D	26	21.04	6	22	28	0	1	1	126	133	60	32	0	0
Nick Paul	F	25	13.91	12	15	28	1	2	3	163	45	162	33	216	215
Brady Skjei	D	26	20.59	8	20	28	0	2	2	152	121	144	48	0	0
Milan Lucic	F	32	14.32	10	18	28	4	3	7	110	26	228	72	51	51
Brad Hunt	D	32	16.54	9	18	27	5	10	15	146	66	39	16	0	0
Brendan Leipsic	F	26	12.34	8	19	27	1	2	3	113	34	74	25	40	41
Justin Faulk	D	28	20.77	8	19	27	3	6	9	187	101	122	43	0	0
Sean Walker	D	26	18.51	6	21	27	1	4	5	142	102	102	29	0	0
Blake Comeau	F	34	15.62	12	15	27	1	1	1	118	38	163	47	81	103
Victor Rask	F	27	12.66	11	16	27	2	3	5	106	24	66	16	308	323
Dryden Hunt	F	25	12.45	7	20	27	1	1	2	153	31	161	63	41	44
Cody Glass	F	21	11.68	11	16	27	2	8	10	108	18	45	17	132	163
Sammy Blais	F	24	13.26	12	15	27	1	1	2	120	37	283	35	43	43
Pierre Engvall	F	24	10.97	13	14	27	1	1	2	117	21	56	16	95	120
Mark Jankowski	F	26	13.09	14	12	27	1	1	2	106	55	41	25	371	391
Marcus Pettersson	D	24	19.04	3	23	27	0	4	4	101	118	118	50	0	0
Nikolai Prokhorkin	F	27	11.05	9	18	27	1	5	6	111	18	68	16	167	179
Kevin Stenlund	F	24	11.98	14	12	26	6	5	10	129	45	54	22	132	172
Mike Reilly	D	27	18.75	4	23	26	1	8	10	145	85	79	39	0	0
Darren Helm	F	34	14.78	12	14	26	1	1	1	138	35	100	37	52	55
Jonas Brodin	D	27	20.89	4	22	26	0	2	2	113	137	59	32	0	0
Mason Appleton	F	25	12.21	11	15	26	1	1	2	112	31	66	30	48	52
Yakov Trenin	F	24	9.86	10	16	26	1	1	2	103	33	141	32	60	55
Carter Rowney	F	31	13.92	10	16	26	1	1	1	85	51	209	19	198	197
David Kampf	F	26	14.62	10	16	26	1	1	1	113	39	66	20	404	401
Kyle Clifford	F	30	12.69	12	14	26	1	1	2	148	25	167	90	37	39
Valentin Zykov	F	25	13.09	9	17	26	4	4	7	120	24	107	27	44	53
Rasmus Andersson	D	24	19.18	5	21	26	0	4	4	143	104	72	50	0	0
Ian Cole	D	31	18.80	5	21	26	0	1	1	108	161	113	80	0	0
Leo Komarov	F	34	14.08	8	18	26	1	1	2	97	44	193	30	98	110
Christian Fischer	F	23	13.14	14	12	26	2	2	3	148	31	163	27	35	44
MacKenzie Weegar	D	27	19.45	8	17	26	0	1	1	125	132	157	66	0	0
Nathan Gerbe	F	33	11.88	10	15	26	1	1	2	123	22	96	43	56	56
Riley Nash	F	31	13.09	9	16	26	1	1	2	102	51	87	20	294	321
Riley Sheahan	F	29	14.09	11	14	25	1	1	2	111	45	58	15	443	422
Vladislav Kamenev	F	24	11.30	8	18	25	2	3	6	102	32	89	32	196	188
Michal Kempny	D	30	19.16	6	20	25	0	1	1	123	129	86	47	0	0
Nic Dowd	F	30	12.48	11	14	25	1	1	2	91	46	149	39	357	349
Colton Sceviour	F	31	14.08	10	15	25	1	1	2	155	78	112	20	94	116
Zack Smith	F	32	14.16	9	17	25	0	1	2	107	31	140	60	277	295
Cedric Paquette	F	27	13.92	13	13	25	1	1	2	119	64	238	69	420	412
Ryan Carpenter	F	30	14.56	9	16	25	1	1	1	128	40	141	25	281	313
Jordan Martinook	F	28	13.53	10	16	25	1	1	1	118	43	147	41	125	141
Markus Nutivaara	D	26	17.49	7	18	25	0	2	2	113	75	83	15	0	0
Zemgus Girgensons	F	27	14.62	12	13	25	1	1	1	118	33	149	23	60	75
Stefan Noesen	F	27	13.31	13	12	25	1	1	2	146	42	157	56	55	68
Ben Chiarot	D	29	21.29	7	18	25	0	1	1	134	146	177	65	0	0
Madison Bowey	D	25	18.00	4	21	25	0	1	2	107	104	107	61	0	0
Jujhar Khaira	F	26	13.78	10	15	25	1	1	2	105	46	169	55	120	135
Pierre-Edouard Bellemare	F	35	14.20	10	15	25	1	1	1	119	58	66	18	431	384
Trevor Lewis	F	34	13.75	11	14	25	1	1	2	147	38	107	24	93	115
Brendan Perlini	F	24	12.67	13	12	25	3	3	6	136	30	71	30	33	35
Andrew Cogliano	F	33	13.75	8	16	25	1	1	2	121	35	88	33	48	51
Alec Martinez	D	33	21.03	6	19	25	1	6	6	112	175	89	28	0	0
Matt Grzelcyk	D	27	18.86	5	20	25	1	6	7	127	82	72	53	0	0
Garnet Hathaway	F	29	12.49	12	13	25	1	1	1	110	50	221	90	39	47
Michael Dal Colle	F	24	13.32	10	14	24	1	1	2	117	34	94	19	45	44
Erik Johnson	D	32	20.89	6	18	24	0	1	2	146	143	124	40	0	0
Sam Lafferty	F	25	9.81	11	14	24	1	1	2	99	28	124	33	174	176
Taro Hirose	F	24	11.27	8	16	24	1	11	12	80	41	50	21	51	61
Taylor Fedun	D	32	15.64	6	18	24	0	2	2	130	81	54	27	0	0
Isac Lundestrom	F	21	14.57	4	21	24	1	4	5	89	42	43	12	270	344
Frederik Gauthier	F	25	11.37	10	14	24	1	1	2	85	38	115	21	308	266
Caleb Jones	D	23	17.03	7	18	24	0	4	4	96	96	87	28	0	0
Henri Jokiharju	D	21	18.40	4	21	24	1	2	3	123	90	105	40	0	0
Tomas Nosek	F	28	13.30	11	13	24	1	1	1	138	40	101	26	175	161
Dennis Cholowski	D	22	19.26	8	16	24	4	9	12	126	92	49	24	1	0
Connor Murphy	D	27	20.53	7	18	24	0	1	1	150	161	177	48	0	0
Joakim Nygard	F	28	10.35	9	15	24	2	1	4	98	22	51	21	54	54
Brad Richardson	F	35	15.02	13	11	24	1	1	1	127	58	89	33	525	454
Marc-Edouard Vlasic	D	33	20.36	6	18	24	0	1	2	111	125	42	19	0	0
Olli Maatta	D	26	18.92	5	19	24	1	4	4	122	141	140	26	0	0
Carter Verhaeghe	F	25	9.68	14	10	24	2	1	3	98	18	54	17	66	69
Travis Dermott	D	24	18.11	5	19	24	0	1	1	124	92	125	40	0	0
Johan Larsson	F	28	15.31	9	15	24	1	1	1	99	47	121	42	439	434
Cal Clutterbuck	F	33	14.51	10	14	24	2	1	2	107	63	241	50	40	44
Jansen Harkins	F	23	10.31	8	15	24	1	1	2	93	28	40	18	52	61
Adam Boqvist	D	20	14.11	7	17	23	0	4	4	96	83	69	18	0	0
Joseph Blandisi	F	26	9.10	10	14	23	1	1	2	70	33	91	35	135	173
Anton Stralman	D	34	20.64	5	19	23	0	1	1	109	110	93	19	0	0
Justin Braun	D	33	18.70	4	20	23	0	1	2	102	118	119	29	0	0
Connor Carrick	D	26	16.57	5	18	23	1	2	2	98	107	80	49	0	0
Mackenzie MacEachern	F	26	11.09	13	10	23	1	1	2	125	24	148	47	44	46
Tyler Motte	F	25	14.11	12	11	23	1	1	1	130	72	241	22	49	62
Kevin Rooney	F	27	13.39	11	12	23	1	1	2	108	51	130	35	325	347
Brian Dumoulin	D	29	20.74	4	19	23	0	2	2	107	121	127	29	0	0
Tim Heed	D	30	15.38	5	18	23	2	5	7	111	82	44	19	0	1
Luke Glendening	F	31	15.83	12	11	23	1	1	2	117	94	187	22	539	425
Eric Robinson	F	25	10.48	12	11	23	1	1	2	110	25	106	21	55	58
Phillip Di Giuseppe	F	27	12.68	8	15	23	1	1	1	143	55	173	25	37	39
Matt Roy	D	25	18.48	6	17	23	0	1	2	130	138	144	23	0	0
Dylan DeMelo	D	27	19.92	2	21	23	0	3	3	116	123	137	47	0	0
Michael Del Zotto	D	30	18.76	4	19	23	0	2	2	103	105	199	29	0	0
Ryan Reaves	F	34	12.25	11	12	23	2	1	2	95	32	322	75	61	68
Ross Johnston	F	26	10.59	10	12	23	1	1	2	78	32	222	178	36	39
Karson Kuhlman	F	25	11.26	6	16	23	3	1	4	130	26	97	35	52	56
Max Jones	F	22	14.77	11	11	22	1	3	4	167	26	110	48	50	55
Adam Pelech	D	26	20.29	4	18	22	0	1	1	118	154	153	36	0	0
William Carrier	F	26	11.93	11	11	22	1	1	2	145	24	320	50	39	37
Curtis Lazar	F	25	10.92	9	13	22	1	1	2	86	41	135	24	243	243
Melker Karlsson	F	30	13.43	11	11	22	1	1	1	96	56	75	30	46	45
Rasmus Sandin	D	20	13.16	3	19	22	0	5	5	74	70	90	29	0	0
Greg McKegg	F	28	11.91	11	11	22	1	1	1	82	40	91	27	275	275
Slater Koekkoek	D	26	17.55	6	16	22	0	1	1	114	120	136	63	0	0
Josh Manson	D	29	20.78	4	18	22	0	1	1	110	104	178	60	0	0
Tom Kuhnhackl	F	29	13.18	10	12	22	1	1	2	95	74	123	17	33	37
Charles Hudon	F	26	13.10	10	12	22	1	3	4	154	27	155	28	59	75
Dmytro Timashov	F	24	9.26	10	12	22	1	1	2	86	24	139	29	53	53
Vladimir Sobotka	F	33	14.96	8	14	22	1	1	2	115	37	115	31	243	215
Dylan Gambrell	F	24	10.98	10	12	22	1	2	3	84	40	66	27	226	257
Joel Kellman	F	26	10.79	9	13	22	1	1	2	89	39	70	16	234	256
Matt Martin	F	31	12.50	9	12	22	1	1	1	97	41	328	71	42	41
Barrett Hayton	F	20	10.57	7	14	22	1	1	2	114	18	63	47	115	156
Sami Niku	D	24	16.87	2	20	22	0	1	1	111	101	71	39	0	0
Adam Erne	F	25	13.02	10	12	22	1	1	2	119	40	200	49	55	50
Chris Tanev	D	31	19.80	3	18	22	0	1	1	71	163	50	34	0	0
Nic Petan	F	25	12.08	8	14	22	1	1	2	117	28	42	27	73	82
Nicolas Hague	D	22	14.04	3	19	22	2	5	7	105	62	120	53	0	0
Dale Weise	F	32	11.99	8	14	22	1	1	1	90	35	182	45	35	37
Brenden Dillon	D	30	19.28	3	19	21	0	1	1	84	96	205	83	0	0
Jordan Oesterle	D	28	18.29	6	16	21	1	4	5	108	135	77	19	0	0
Philippe Myers	D	24	17.63	6	15	21	0	1	1	127	70	152	35	0	0
Radko Gudas	D	30	17.94	4	18	21	0	1	1	139	124	216	65	0	0
Calvin de Haan	D	29	19.65	3	18	21	0	1	1	118	162	197	27	0	0
Justin Abdelkader	F	33	13.84	7	14	21	2	2	4	98	40	167	48	76	73
Jan Rutta	D	30	16.89	5	16	21	1	1	2	104	73	54	35	0	0
Tobias Rieder	F	28	13.07	7	14	21	1	2	3	123	45	76	13	43	65
Erik Cernak	D	23	19.33	7	14	21	1	1	2	157	122	232	74	0	0
Mark Borowiecki	D	31	18.08	7	14	21	0	1	1	108	161	316	105	0	0
Jay Beagle	F	35	14.01	7	14	21	1	1	1	83	52	110	37	559	413
Troy Stecher	D	26	17.66	4	17	21	0	2	2	111	94	101	38	0	0
Nate Thompson	F	36	13.99	7	14	21	1	1	1	87	51	122	28	432	359
Julien Gauthier	F	23	9.15	5	16	21	1	1	2	73	33	74	35	57	60
Zac Rinaldo	F	30	10.56	11	10	21	1	1	1	89	37	250	101	35	41
Brett Ritchie	F	27	12.12	9	12	21	2	2	4	126	19	232	71	36	40
Joel Edmundson	D	27	19.11	6	14	21	0	1	1	129	132	143	76	0	0
Luca Sbisa	D	31	14.97	4	17	21	0	1	1	73	105	117	43	0	0
Brent Seabrook	D	35	18.90	6	14	21	2	4	6	128	157	114	32	0	0
Matt Benning	D	26	15.60	5	16	21	0	2	2	105	81	146	40	0	0
Noah Gregor	F	22	10.04	10	10	21	3	3	6	104	22	121	25	64	78
Brian Gibbons	F	32	12.05	9	12	21	1	1	1	79	51	52	26	41	47
Chris Wagner	F	29	13.91	11	10	21	1	1	2	123	43	239	52	153	168
Nicolas Deslauriers	F	29	11.90	11	10	20	1	1	1	108	44	235	84	34	32
Jacob de La Rose	F	25	12.65	7	14	20	1	1	1	97	42	168	29	250	319
Par Lindholm	F	29	12.90	7	14	20	1	1	2	97	60	70	20	270	294
Justin Dowling	F	30	10.48	9	11	20	1	1	2	87	30	66	22	121	141
Robert Hagg	D	25	17.19	5	15	20	1	1	1	91	139	240	52	0	0
Scott Mayfield	D	28	19.72	5	15	20	0	1	1	117	147	124	68	0	0
Jason Demers	D	32	20.25	4	17	20	0	2	2	97	104	108	37	0	0
Nick Holden	D	33	19.09	6	14	20	1	1	2	114	100	149	20	0	0
Ethan Bear	D	23	16.99	5	15	20	2	3	4	96	107	65	36	0	0
Filip Chlapik	F	23	9.39	8	12	20	1	2	3	87	37	128	24	112	132
Scott Sabourin	F	28	8.51	8	12	20	1	1	2	84	30	137	59	52	54
Tim Schaller	F	30	12.91	10	10	20	1	1	1	104	45	108	28	53	58
Scott Harrington	D	27	15.58	4	16	20	0	1	1	86	113	102	32	0	0
Brendan Guhle	D	23	14.53	6	14	20	0	1	1	111	79	55	30	0	0
Mikhail Vorobyev	F	24	12.09	8	12	20	1	1	2	87	24	38	25	266	280
Cody Ceci	D	27	20.78	5	15	20	0	2	2	112	136	133	24	0	0
Travis Hamonic	D	30	20.77	5	15	20	0	1	1	134	166	72	51	0	1
Nikita Zadorov	D	25	18.32	7	13	20	0	1	1	106	97	245	88	0	0
Ben Hutton	D	27	19.60	4	15	20	1	4	4	139	106	69	34	0	0
Markus Granlund	F	27	13.42	11	9	20	2	1	3	111	32	55	25	118	150
Ron Hainsey	D	39	20.40	3	16	20	0	1	1	72	133	80	20	0	0
Matthew Highmore	F	24	9.90	8	12	20	1	1	2	91	23	81	18	54	56
Nathan Beaulieu	D	28	17.60	4	16	20	0	2	2	102	97	112	61	0	0
Jake McCabe	D	27	19.05	5	15	19	0	1	1	95	124	136	47	0	1
Mark Pysyk	D	29	16.03	6	13	19	0	1	1	91	88	102	28	1	1
Radim Simek	D	28	17.64	4	16	19	0	1	1	87	96	146	25	0	0
Vladislav Gavrikov	D	25	15.49	5	14	19	0	1	1	87	91	82	22	0	0
Johnny Boychuk	D	37	18.41	4	15	19	1	1	3	146	139	149	27	0	0
Carson Soucy	D	26	13.82	8	11	19	0	1	1	85	71	88	26	0	0
Mitchell Stephens	F	23	10.39	9	10	19	1	1	2	100	23	75	23	311	286
Gaetan Haas	F	29	9.84	9	10	19	1	2	3	85	34	75	14	200	255
Dominic Toninato	F	26	10.58	7	12	19	1	1	2	80	41	84	47	206	241
David Savard	D	30	20.29	4	15	19	0	2	2	128	154	139	38	0	0
Andy Greene	D	38	19.94	4	15	19	0	2	2	90	177	63	21	0	0
Zdeno Chara	D	43	20.72	6	13	19	0	1	2	115	110	103	61	0	0
Alex Biega	D	32	17.75	2	16	19	0	1	1	139	92	199	47	0	0
Justin Holl	D	29	15.26	3	16	19	0	1	1	91	83	87	39	0	0
Carl Gunnarsson	D	34	17.07	7	12	19	0	1	1	80	120	58	31	0	0
Givani Smith	F	22	9.83	10	9	19	1	1	2	97	18	133	33	53	53
Oliver Kylington	D	23	15.34	6	13	19	0	1	1	77	89	64	31	0	0
Zach Bogosian	D	30	18.64	3	16	19	0	1	1	108	107	97	66	0	0
Ryan Lindgren	D	22	14.28	2	16	19	0	1	1	71	87	107	50	0	0
Victor Mete	D	22	17.55	3	15	19	0	3	3	96	119	38	23	0	0
Marco Scandella	D	30	18.31	6	13	19	0	1	2	109	92	87	31	0	0
Stephen Johns	D	28	14.82	7	11	18	0	1	1	114	101	173	38	0	0
Jamie Oleksiak	D	28	16.85	5	13	18	0	1	1	98	89	189	67	0	0
Brett Kulak	D	27	18.14	4	14	18	0	1	1	143	88	111	34	0	0
Kris Russell	D	33	18.48	3	15	18	0	1	1	80	175	102	23	0	0
John Hayden	F	25	11.69	8	10	18	1	1	1	100	48	180	101	45	61
Noah Dobson	D	21	12.63	3	15	18	0	3	3	90	76	66	23	0	0
Andrew Agozzino	F	30	8.68	7	11	18	1	1	2	63	26	84	19	141	139
Logan O'Connor	F	24	9.22	11	6	18	1	1	2	91	37	93	16	53	56
Jordie Benn	D	33	17.79	4	14	18	0	1	1	105	126	99	35	0	0
Dean Kukan	D	27	16.68	2	15	18	1	1	2	107	83	71	30	0	0
Brandon Carlo	D	24	20.42	3	14	18	0	1	1	128	103	142	48	1	0
Martin Marincin	D	28	16.64	4	14	18	0	1	1	110	113	81	44	0	1
Braydon Coburn	D	35	16.25	3	14	18	0	1	1	103	74	107	38	0	0
Nikita Zaitsev	D	29	21.17	4	14	18	0	1	1	86	159	142	31	0	0
Jakob Lilja	F	27	9.95	7	10	17	1	1	2	71	44	49	12	53	53
Haydn Fleury	D	24	15.34	4	14	17	0	1	1	111	102	106	18	0	0
Joakim Nordstrom	F	28	13.75	8	9	17	1	1	1	119	56	134	23	59	75
Gabriel Bourque	F	30	11.25	6	11	17	1	1	1	74	71	176	18	39	45
Tucker Poolman	D	27	14.73	5	13	17	0	1	1	90	76	76	23	0	0
Oscar Fantenberg	D	29	17.16	4	13	17	0	4	5	109	113	142	26	0	0
Jesper Boqvist	F	22	10.47	11	6	17	2	1	4	103	34	81	22	60	69
Christoffer Ehn	F	24	12.33	7	10	17	1	1	2	87	44	105	12	163	195
Nick Jensen	D	30	18.88	1	15	17	0	1	1	97	99	82	24	0	0
Juuso Riikola	D	27	16.28	4	13	17	2	3	5	100	78	173	22	0	0
Trevor van Riemsdyk	D	29	16.44	3	14	17	0	1	1	110	91	47	19	0	0
Jay Bouwmeester	D	37	20.93	3	13	17	0	1	1	90	115	68	35	0	0
Jonathon Merrill	D	28	18.66	4	12	16	0	1	1	89	115	98	61	0	0
Joakim Ryan	D	27	18.13	3	14	16	0	1	1	113	112	74	26	0	0
Adam Larsson	D	28	20.24	3	13	16	0	1	1	111	138	218	48	0	0
Mirco Mueller	D	25	18.44	3	14	16	0	1	1	68	131	102	31	0	0
Jonas Siegenthaler	D	23	16.70	2	14	16	0	1	1	72	147	94	49	0	0
Connor Bunnaman	F	22	9.64	7	9	16	1	1	2	88	16	100	15	146	208
Rasmus Asplund	F	23	10.41	6	10	16	1	1	2	105	23	61	20	141	170
Lias Andersson	F	22	11.91	5	11	16	1	1	2	98	35	119	41	214	246
Andrej Sekera	D	34	18.30	2	14	16	0	3	3	97	98	64	22	0	0
Mario Ferraro	D	22	13.94	3	13	16	0	1	1	84	76	128	35	0	0
John Moore	D	30	18.02	6	10	16	1	1	2	123	99	116	38	0	0
Libor Hajek	D	22	14.00	1	14	16	0	1	1	73	108	71	32	0	0
Dmitry Kulikov	D	30	19.14	3	13	16	0	1	1	83	117	138	52	0	0
Jacob Larsson	D	23	17.50	2	13	16	0	1	1	100	99	71	26	0	1
Logan Shaw	F	29	8.41	7	9	16	1	2	3	75	32	70	10	72	75
Patrick Russell	F	28	10.68	4	11	16	1	1	2	102	37	95	22	51	51
Nick Shore	F	28	9.59	6	10	16	1	1	2	72	23	61	21	252	242
Brayden McNabb	D	30	19.90	4	12	16	0	1	1	92	152	208	49	0	0
Robert Bortuzzo	D	31	15.65	4	11	16	0	1	1	94	104	133	50	0	0
Chris Stewart	F	33	8.88	7	9	15	1	1	2	64	21	111	62	37	38
Patrik Nemeth	D	28	20.31	2	13	15	0	1	1	99	153	117	48	0	1
Marc Staal	D	34	18.70	3	12	15	0	1	1	83	115	99	28	0	0
Trevor Daley	D	37	17.54	4	12	15	0	2	2	85	95	32	31	0	0
Dante Fabbro	D	22	15.52	5	10	15	1	1	2	104	94	69	40	0	0
Deryk Engelland	D	38	18.75	3	12	15	0	1	1	103	140	154	36	0	0
Brendan Smith	D	31	14.61	4	11	15	0	1	1	88	66	116	91	0	0
Ryan Poehling	F	22	10.17	7	8	15	1	1	2	92	30	101	17	59	77
Jarred Tinordi	D	28	14.30	3	12	15	0	1	1	64	88	148	68	0	0
Niklas Hjalmarsson	D	33	19.33	2	13	15	0	1	1	63	156	54	39	0	0
Christian Folin	D	29	16.35	4	11	15	0	1	1	85	128	203	54	1	0
David Gustafsson	F	20	8.07	8	7	15	1	2	3	55	27	41	10	147	134
Jack Johnson	D	34	19.59	3	11	14	0	1	1	88	129	182	33	0	0
Carsen Twarynski	F	23	10.33	8	6	14	1	1	2	89	38	166	23	52	59
Kurtis MacDermid	D	26	12.86	4	10	14	0	1	1	79	75	152	86	0	0
Micheal Haley	F	34	9.39	6	8	14	1	1	1	73	31	147	181	56	56
Michael Stone	D	30	14.17	4	10	14	0	1	1	103	113	97	30	0	0
Erik Gudbranson	D	29	19.33	5	9	14	0	1	1	112	105	170	101	0	0
Riley Stillman	D	22	15.56	1	13	14	0	1	1	89	112	114	30	0	0
Dan Hamhuis	D	38	16.47	1	13	14	0	1	1	65	85	75	39	0	0
Andrew Peeke	D	22	12.93	4	10	14	0	1	1	86	78	86	19	0	0
T.J. Tynan	F	28	9.25	4	9	14	1	1	2	62	20	47	16	61	99
Dennis Gilbert	D	24	13.86	4	10	14	0	1	1	59	107	206	102	0	0
Matt Irwin	D	33	15.50	2	12	14	0	1	1	123	107	163	44	0	0
J.C. Beaudin	F	23	9.32	5	9	14	1	1	2	85	37	151	27	206	191
Erik Brannstrom	D	21	13.42	2	12	14	0	3	3	96	89	52	37	0	0
Andreas Englund	D	25	11.46	2	12	13	0	1	1	53	62	154	36	0	0
Anthony Bitetto	D	30	15.96	2	12	13	0	1	1	90	93	190	51	0	0
Greg Pateryn	D	30	17.15	1	12	13	0	1	1	101	128	129	38	0	0
Derek Forbort	D	28	19.05	2	11	13	0	1	1	87	133	127	37	0	0
Roman Polak	D	34	18.16	2	11	13	0	1	1	79	154	188	58	0	0
Chad Ruhwedel	D	30	16.65	5	8	13	0	1	1	108	74	152	27	0	0
Mark Barberio	D	30	13.05	2	11	13	0	1	1	88	75	49	45	0	0
Josh Brown	D	27	15.36	4	8	13	0	1	1	83	87	146	60	0	0
Carl Dahlstrom	D	26	17.09	1	11	12	0	1	1	80	82	60	28	0	0
Yannick Weber	D	32	15.38	3	8	12	0	1	1	99	75	92	31	0	0
Jeremy Lauzon	D	23	16.82	5	6	12	0	1	1	90	102	121	74	0	0
Ilya Lyubushkin	D	26	15.84	1	10	11	0	1	1	78	112	260	32	0	0
Joona Luoto	F	23	8.28	5	7	11	1	2	2	74	39	61	17	55	55
Korbinian Holzer	D	32	17.23	3	9	11	0	1	1	74	141	177	47	0	0
Luke Schenn	D	31	15.00	2	9	11	0	1	1	98	106	271	57	0	0
Cody Goloubef	D	31	13.60	3	7	10	0	1	1	62	70	108	24	0	0
Gustav Lindstrom	D	22	14.28	1	8	10	0	4	5	60	75	87	55	0	0
Zach Whitecloud	D	24	13.16	1	8	10	0	1	1	60	78	58	23	0	0
Connor Clifton	D	25	16.75	4	6	9	0	1	1	85	84	201	47	0	0
Matt Tennyson	D	30	12.07	1	8	9	0	1	1	74	61	77	26	0	0
Aaron Ness	D	30	12.27	1	7	8	0	1	1	52	67	60	9	0	0
Jonathan Ericsson	D	36	16.55	3	6	8	0	1	1	79	78	120	36	0	0
Cale Fleury	D	22	13.17	3	5	8	0	1	1	89	85	157	17	0	0
Dylan McIlrath	D	28	13.41	1	5	6	0	1	1	73	62	173	80	0	0

[TBODY] [/TBODY]

 

[tangotiger]

Good stuff, thanks for jumping into this.

In order to figure out the weights, whether it's 5/4/3 or 4/3/2 or 3/2/1, etc, you would run a regression, to see which fits best. You could of course use non-integers and really try to get the precision down. However, I find that pretty much every model comes pretty close to one of those three.

As for the 50/10 (+1/3 of a season) for the playing time: again, another regression for best fit. Playing time, in MLB, was hugely influenced by the most recent season the most.

When I see you put in 500/82, I would simply say: make it 6 minutes for defenders and 5 minutes for forwards (or some other INTEGER). You can try for more precision, but again, I doubt you will get any noticeable gain. And (in my view) it's alot more palatable to say 6 minutes per game than 6.098 minutes per game.

Keep it up and I look forward to your development.

 

[DatsyukToZetterberg]

Good stuff, thanks for jumping into this.

In order to figure out the weights, whether it's 5/4/3 or 4/3/2 or 3/2/1, etc, you would run a regression, to see which fits best. You could of course use non-integers and really try to get the precision down. However, I find that pretty much every model comes pretty close to one of those three.

As for the 50/10 (+1/3 of a season) for the playing time: again, another regression for best fit. Playing time, in MLB, was hugely influenced by the most recent season the most.

When I see you put in 500/82, I would simply say: make it 6 minutes for defenders and 5 minutes for forwards (or some other INTEGER). You can try for more precision, but again, I doubt you will get any noticeable gain. And (in my view) it's alot more palatable to say 6 minutes per game than 6.098 minutes per game.

Keep it up and I look forward to your development.

Wow, I never thought I'd get a response from Tangotiger. I appreciate the kind words at the end of your post, I'll do my best to try and create some interesting and meaningful projects.

I had always assumed that because all the weights for the original Marcel were the same 5/4/3 weight that there wasn't any regression used to find them. It is interesting to know that isn't the case. I had previously done some work on creating weights for hockey counting stats, but they were all over the place and there did not seem to be much similarity between the weights. I found something similar for TOI as you did for PA. TOI in the most recent season was weighted about 4 times as much as the 2nd most recent. I think you're right about the integer value. It made almost no difference in the values when I reran them and made for a much nice presentation of the numbers.

Even though the weights and methodology were borrowed from the original MLB version, could this still provide value as a minimum level of acceptableness?

And on a more general note, I will need to update the first post. After I reviewed my code in R to make some of the changes Tango mentioned, I found that I messed some of it up and it caused the regression portion of a player's value to be undervalued. Much to my delight the model's accuracy did not change too much and improved it's MAE/RSME values with the r^2 staying relatively the same.

 

[Fixxer]

Marcel(s)

Marcel Dionne
Marcel Aubut
Marcel Pronovost
Marcel Cousineau
Marcel Hossa
Marcel Bonin
Marcel Goc