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The article also included an invalid comparison between the number of strip clubs per capita in Tampa and Cincinnati.
Let's start with the facts: Mr. Giuliani's claim is wrong on multiple levels — bogus numbers wrapped in an invalid comparison embedded in a smear.
The Eating Well column in The Living Section on April 11 about fast-food hamburgers made an invalid comparison between the fat in the hamburgers and the amount of fat in the diet recommended by most health professionals.
Possible reasons for this poor agreement include (a) a true lack of north south conjugacy between measurement sites, (b) an invalid comparison between global (SuperDARN radar) and local (MINIS balloon) measurements and/or (c) radar absorption resulting from precipitation-induced D-region ionosphere density enhancements.
It is an invalid comparison on at least two levels.
It's like comparing a president's approval rating to George W. Bush's right after 9/11 happened, to put it another way -- it really is an invalid comparison to even make.
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Conversely, change in the standards of comparison used in Example 5 does not result in an apparently invalid comparison over time.
In order to avoid invalid comparison with the original PSQ-18 subscales, the labels given to our composite subscales were slightly altered from those of the PSQ-18.
Previous studies have been limited by small sample size 7 8 9 10 20 24 25 26 27; invalid comparison groups, notably screen detected cancers 9 25 26 27; or use of historical controls.
The other big argument against the pay ratio disclosure is that it will vary widely by industry and corporate structure and thus could lead people to make invalid comparisons between companies.
As previously noted, the use of intercensal population estimates may have resulted in either an underestimate or overestimate of the true rates of soccer-related injuries and may create invalid comparisons to HS RIO and NCAA-ISP data.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com