From Omnilibrium:

• Can competition be created in an education market of perfect irrationality?

• Problems with objective evaluation of government policies. Part I. The unemployment data paradox

• Will election of a republican president result in actual right-wing policies?

• Why is the crime rate so high in Venezuela?

From Omnilibrium:

• Do most charities have negative utility?

• Beating a 'Yes Minister' system

• What causes the decline of capitalist economies?

• Why are Education and Health Care Outcomes So Bad in the United States?

From Omnilibrium:

• The politics of invasive species

There are two noticeable differences between the optimate/populare and the traditional left-wing/right-wing politics:

1) Traditional politics is much better approximated by a binary. Person’s views on one significant issue, such as feminism, pretty accurately predict positions on foreign policy, economics and environmental issues. By comparison, optimate/populare labels have much less predictive power. While there is a significant correlation between populare (optimate) and left (right)-wing views on economics and foreign policy, both optimates and populares are much more likely to cross ideological lines on individual issues.

2) On average, both populares and optimates are more libertarian and less religious than the traditional left and right.

From Omnilibrium:

• Should fundamental science be funded by international agencies?

• Integration of Muslim Immigrants: US vs. Europe

• What's more important Laffer Curve or Income Inequality?

• Should the US radically increase spending on Voice of America?

From Omnilibrium:

• Donald Trump and the Methods of Rationality: Part I. Deconstructing Political Motivations

• Is there a scientific way to prove or disprove discrimination in the academy?

• Will Paris attacks succeed in their objectives?

• What's in a name?

• Health care wait time in Europe

From Omnilibrium:

• Should the public trust climatologists in the global warming debate?

• Will Augur be the first successful decentralised prediction market?

From Omnilibrium:

• Five explanations of political divide in the academy

• ClearerThinking’s Fact-Checking 2.0

• Should Saudi Arabia be added to the list of state sponsors of terrorism?

If the number of extended discussions is uncorrelated with the post's karma (except maybe for strongly downvoted posts), and the number of extended discussion comments dominates the number of total comments, then that is evidence that correlations between the number of total comments and the post's karma are spurious.

If the number of extended discussions is uncorrelated with the post's karma, then they would simply add a random noise component to the graph. I think it’s pretty obvious from the graph that the signal to noise ratio is quite high.

That would require a non-trivial amount of work. Is there a particular reason you are interested in this?