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A statistical look at last year's referees


Since a favorite hobby of sports fans is criticizing the officiating, I wanted to take a look at how the NBA's referees did last year. I pulled information on Games Refereed, Home Win %, Total Points Per Game, Total Fouls Per Game, Home and Road Foul %, and Home and Road Technicals Per Game. Through the miracles of spreadsheet software, I calculated the mean and standard deviation for each. I then set the boundaries for "normal" at 2 standard deviations, since 95% of all occurrences should be within 2 standard deviations if it's a standard normal distribution. All referees officiated at least 30 games, which gives a large enough sample size to be meaningful (Michael Smith officiated the fewest games, at 36). Numbers after the jump.

Star-divide

The average number of games officiated was 59.39, with a 7.8 game standard deviation. Nobody was more than 2 deviations over the mean. Under were Bill Spooner (41 games), Jack Nies (42 games), and the aforementioned Michael Smith.

Home Win % surprised me - it was a solid 60.66%, with a standard deviation of 6.73%, so "normal" referees would call home wins between 47.19% and 74.13%. The only "deviant" here was Curtis Blair. Home teams won only 44.7% of the 47 games he officiated.

Home Points Differential, not surprisingly, was positive. The mean was 3.18 points, with a standard deviation of 1.60 points, so "normal" ranges from -0.02 to 6.37. The three deviants here were all low, being Bill Spooner (-0.8), Curtis Blair (-1.7), and Michael Smith (-1.4)

Total points had a mean of 199.92, with a standard deviation of 2.67 points. The normal is 194.57 to 205.26, and every single referee fell within this range.

Fouls per game had a mean of 42.08, with a standard deviation of 1.41. Normal was 39.26 to 44.90 fouls per game. This stat had four deviants, again all low. David Guthrie (38.4), Gary Zielinski (39.2), Ken Mauer (39.0), and Steve Javie (38.8) were on the most lenient crews in basketball.

Road Foul % averaged 50.96%, with a standard deviation of 0.81%, meaning the range was 49.34% to 52.59%. There were three deviants, one low and two high. The low was Violet Palmer, whose crews called only 48.8% of fouls against the road team. High were Courtney Kirkland (52.6%) and Ron Garretson (52.8%).

Road Technical Fouls averaged 0.81, with deviation 0.14. Normal is 0.53 to 1.08. The only low was Ron Olesiak, at 0.5. High were Joe Forte (1.1), Ed Malloy (1.1), and Eli Roe (1.2).

Home Technical Fouls averaged 0.73, with deviation 0.15. Normal is 0.44 to 1.02. Derrick Collins was low at 0.40, Monty McCutchen was high at 1.1.

 

Thoughts: This was designed to catch the referees who fall outside the 95% bounds of normality. This isn't a measure of who is a good or bad referee (since the games referees are assigned could skew their numbers), but it can give an idea of who to watch for when referees are announced for a game. A crew of Forte, Malloy, and Roe could be expected to call more technicals on the road team than normal. A Javie/Mauer/Guthrie crew will be like rec yard basketball, with few fouls.

This FanPost was made by a member of the Orlando Pinstriped Post community, and is to be treated as the opinions and views of its author, not that of the blogger or blog community as a whole.

8 recs  |  Comment 7 comments

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Very nice work

Interesting to see that the big name refs we complain about most (Crawford, Bavetta, Javie, etc.) are actually very much in the normal range. Javie is even more lenient!

I guess we just complain about these guys the most, because they’re the most recognizable. All refs are pretty consistent (whether good or bad).

The big name refs just give us an excuse to blame our loss on. =P

Good job, bro.

by bandrewg08 on Nov 5, 2009 11:17 AM EST reply actions   0 recs

Crawford’s high-scoring (204.6), high-foul (44.2), and slightly pro-home (66.2% win, 51.2% away foul), but all are within the norms – 1.75 standard deviations for score, 1.50 for fouls, 0.82 for home win, and 0.19 for road foul %.

Bavetta’s high-scoring (202.8, 1.08 StDev), slightly high foul (43, 0.65 StDev), and slightly pro-home (64.2%, 0.53 StDev)

"When you make your final stand
I'll be right there
I'll never leave
And all I ask of you is
Believe"

by The Dark on Nov 5, 2009 11:31 AM EST up reply actions   0 recs

I like the work, but could you put the table into a google doc and share the link?

I read numbers better than words on things like this.

I'm not really a NUMBERS guy!!

by Andy Hellicksonstine on Nov 5, 2009 12:39 PM EST reply actions   0 recs

I'll try to get to that this weekend

The table I had got fried in a computer crash right after posting, and I have class tonight.

"When you make your final stand
I'll be right there
I'll never leave
And all I ask of you is
Believe"

by The Dark on Nov 5, 2009 2:59 PM EST up reply actions   0 recs

Fascinating stuff, man.

Thanks for taking the time to compile and process the data. As everyone knows, Ben and I rarely talk about the refs but this is a constructive way of discussing about them. Well done, sir.

I write for Third Quarter Collapse and have a Twitter account. Like us? Please vote for 3QC in the Orbbies, Orlando's Rockin' Blogs, hosted by the Orlando Sentinel. We're nominated for the best Sports and Overall blog.

"The second unit is kind of crazy because the second unit is only white guys." - Marcin Gortat

by erivera7 on Nov 5, 2009 8:38 PM EST reply actions   0 recs

Rec'd

That’s some stupendous solid stats, very nice work. Now if only we could see the bribe money/foul ratio…

Good Guys Don't use the reply button

by stanleygoober on Nov 6, 2009 2:46 PM EST reply actions   0 recs

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