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Well, in my country's case, it's not so much about what methods they're using, but if they actually bother to properly measure it. And if they measure it, if they're going to do what has to be done.
The examples I mentioned aren't random: for the census, my sister was a censor as well, and she knew a lot of her colleagues didn't do the job as it was intended. Many in my suburb alone weren't recorded either through the internet through the letter with the serial number they had to obtain, or through live interview. Then, for the consumption and income data, while the authorities know that many people hide their incomes, they do nothing to target these said people, but instead redirect any policy of taxation towards those who do not, and who already pay a lot of taxes. Or as you've mentioned it, about unemployment: many are counted who are "officially" unemployed, but are in practice fully employed, and who take their money basically without insurance (and thus, the state not being able to track them so as to tax their work).
As for the changes in the official data, that was consistent practice of the Greek governments for the debt and deficit trajectories.
Such changes serve their own benefit, rather than that of the population. In fact, it's done to their absolute detriment, as was evident later, in a very harsh way.
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