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There are some instances of decrease in the average temperature of some place.

I need to cast doubt on the significance of the decrease.

can I say:

The margin of the differences may not be notable.

  • Why not "The decrease may be insignificant." ? Decrease already contains the idea of difference. Margin of difference of decrease is unnecessary. – Tᴚoɯɐuo May 23 '15 at 13:30
  • The word margin probably has no place in what you're trying to say. Perhaps you're being influenced by the fact that in your context the reason any measured differences may not be significant is because they are within the margin of error (in reality there may be no difference at all, but the measuring process isn't totally accurate). – FumbleFingers May 23 '15 at 15:54
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The usual language for this sort of thing is to say "the temperature decrease may not be [statistically] significant", or perhaps "the amount of the temperature decrease […]" (Preferably, though, you'd mention the level of significance you're using with something like "at p<0.05", and be able to say that it either is or isn't significant accordingly.)

"Margin" is hard to use in this context.

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I don't think the two words, margin and difference can go together so as to describe or modify each other.

According to definition #5 of margin from American Heritage Dictionary of the English Language, margin is a measure, quantity, or degree of difference.

This said it wouldn't be appropriate to say the difference of differences.

So you'd rather use either margin or difference.

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Perhaps you meant marginal difference.

"Marginal difference" means the difference at the margin (i.e., the difference in the dependent variable (temperature) corresponding to a unit difference in the dependent variable (a single unit of time)). Compare this to the economic concept of marginal utility, the utility gained from consuming one additional unit of a good.

As the other answers suggest, margin of differences isn't really meaningful.

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