On Race and Strictly Come Dancing - Some Numbers

Further to some conversation on my earlier post about racism on Strictly I've done a little data analysis.

(EDIT: Which has been edited slightly because I'd mis-categorised Ricky Whittle. He finished on the podium so moving him from category to another doesn't significantly alter my findings.)

These are some provisional observations. I'd like to get my daughter involved. She's doing joint honours Psychology and Biology and knows more about statistics than I do.

I've been keen for comments and questions.

I've created a data table of Strictly contestants.

Name

Week Out

Series

BAME Yes / No

How many weeks before the final they were eliminated.

I'm pulling some data from that table.

Up to series 15 there have been 207 contestants in Strictly Come Dancing. 37 of them have been BAME  or 17.87%. This  compares with 12.9% Non-White in the population of the UK overall. The total number of weeks danced is 1,620. 299 weeks danced by BAME contestants, 1,334 by non-BAME contestants, or 18.46% plays 81.54%

(I'm basing my BAME assessement on Wikipedia and my own memory. I haven't done a double check on every single contestent. Therefore I may have missed BAME people from communities like the Romany. I'm not too concerned about that as I think the question I'm trying to address is whether people who are visually obviously non-white are disadvantaged - in Strictly. EDIT: I did miss Ricky Whittle but by good fortune checking Ricky Whittle reminded me that American Gods existed on Amazon Prime - so I started watching that.)

Podium finishes. 11 out of 46 podium finishers have been BAME - 23.9%.

 

I've been trying to see if there is a trend for BAME contestants to go out earlier than average.

I have divided the competition in to First Half and Second Half based on the number of weeks before the final. 13 out of 72 First Half leavers are BAME 18.1% vs 23 out of 135 Second Half leavers, 17.0%. (NB not all Strictly series are the same length. Series 1 was 7 weeks, making everyone in it a Second Half Leaver. This is where my stats ability becomes stretched.)

Looking at the population of cummulative eliminations (e.g. there are 6 people who have been eliminated in Week 1, 0 BAME and 6 non-BAME, 100 % non-BAMe, by Week 2 4 BAME, 21 non-BAME, for 19% of total eliminations being BAME - compared to a to total population of 18.46% BAME contestants.

In Week 3 the figures are 8/36, or 22.22%, in Week 4, 9/51 or 17.65% - slightly less than the proportion of BAME contestants overall, which is 18.46%. This continues all the way through, with BAME contestants being slightly less likely to have gone out once we get past Week 3. This fits with the over representation of BAME contestants in the final (23.9% vs 18.46% of contestants.)

Excluding Week 1 Which has no BAME eliminations (NB many series had no eliminations in Week 1 so Goldie, first elimination but eliminated in Week 2) the average variance from of cummulative BAME eliminations from 17.65% is 1%. 10 weeks out 13 have  cummulatively fewer BAME contestants to have been eliminated.

There is a blip in Week 3 but it settles down pretty quickly. Where my stats fail me is working out if the blip in Week 3 is significant or just a blip. My gut feel says it's a blip. By Week 3 the cummulative % of BAME eliminations is 22.22% compared to an expectation of 18.46%

So, to conclude, BAME contestants are slightly over represented on Strictly. They are more likely to win, and more likely to finish on the podium than non-BAME contestants. Given that they are over-represented in the population as a whole they don't seem particularly likely to go out early. There seems to be a slight Week 3 effect but I think it's noise rather than signal.

Very, very happy to take suggestions on how this data analysis might be improved.

(I will also caveat this by saying that I've produced the data tables pretty quickly, there may be errors. EDIT - there were errrors - I  mis-categorised Ricky Whittle, who finished on the podium with Natalie Lowe a few years ago. I think I'd confused him with Ricky from Eastenders. As he made it all the way to the last week he doesn't impact the numbers or the conclusions for early entry much and he increases the representation of BAME contestants in the overall population and on the podium.)

EDIT Things that I found out following some questions

I think you can say that there is some evidence that BAME males do better than expected and BAME women slightly less well than expected but this looks like it might be to do with slightly fewer contestants being BAME women than we might expect given the overall BAME population in Strictly.

Thinking about a method to test is people are going out "early than the ought to" proved difficult.

The Week 3 blip might random or it might be because voters, unsure who to back early on, disproportionately back non-BAME contestants out of some racially biased default.