The phrase "are objectively different" is correct and usable in written English.
You can use it when discussing or comparing two or more items, concepts, or phenomena that have distinct characteristics or qualities that can be measured or evaluated without bias.
Example: "The two species are objectively different in their mating rituals and habitat preferences."
Alternatives: "are distinctly different" or "are clearly different".
So teachers are objectively well-respected.
They are objectively very bad.
These are objectively good things.
Data were objectively compared between different groups at different stages of disease using unpaired Student's t test and 2-way ANOVA followed by Turkey-Kramer posthoc analysis.
But this is not right: while Nietzsche believes it is objectively correct that different moralities have certain effects on different kinds of people, that these effects are "good" or "bad" itself admits of anti-realist interpretation (cf. Leiter 2015: 119 for a revision of the view defended in Leiter 2002).
Homogeneity of variance was objectively assessed using 5 different statistical methods (the O'Brien's test, the Brown-Forsythe test, Levene's test, Bartlett's test and the Welch ANOVA calculation) and the variance determined by the majority consensus.
The tiling quality performed by the graduate student participants in four different statuses was objectively evaluated by an edge-detection computer program.
In tones more reminiscent of the grim introspection of George Harrison's solo material than the lighthearted pop of the Beatles, the statement added: "As much as we would have wished it to be different, there is objectively no reason to believe that the situation of the Beatlemania will change in the short or medium term.
For two different individuals a particular wording, despite being objectively the same, can have two completely different meanings.
But if you can bias it towards the preference of these individuals and not what's objectively the most popular, you get different results.
