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mkt
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[edited based on helpful feedback in the comments]

It bothers me immensely when people do this. The argument against it is simple: the standard deviation is typically shown to convey information about data distribution (and standard error for a parameter). It achieves this goal well in some situations but not others. If the standard deviation/error implies that negative values are reasonable when you know they are not, it is not achieving this goalhelping you communicate accurately. Bimodal distributions are another situation in which mean ± SD/SE is likely to mislead.

So what else can you do? If you're interested in the data distribution, just show the full distributions using density plots, violin plots, histograms, or their alternatives. If you're interested in the uncertainty of a parameter, you could show confidence intervals or the posterior distribution. Unlike standard deviation or standard error, these options can be asymmetric and will communicate the data distribution or uncertainty more accurately.

If you must use a numerical summary for a data distribution without referring to a graph, you could use quartiles instead of mean ± SD.

[edited based on helpful feedback in the comments]

It bothers me immensely when people do this. The argument against it is simple: the standard deviation is typically shown to convey information about data distribution (and standard error for a parameter). It achieves this goal well in some situations but not others. If the standard deviation/error implies that negative values are reasonable when you know they are not, it is not achieving this goal.

So what else can you do? If you're interested in the data distribution, just show the full distributions using density plots, violin plots or their alternatives. If you're interested in the uncertainty of a parameter, you could show confidence intervals or the posterior distribution. Unlike standard deviation or standard error, these options can be asymmetric and will communicate the data distribution or uncertainty more accurately.

If you must use a numerical summary for a data distribution without referring to a graph, you could use quartiles instead of mean ± SD.

[edited based on helpful feedback in the comments]

It bothers me immensely when people do this. The argument against it is simple: the standard deviation is typically shown to convey information about data distribution (and standard error for a parameter). It achieves this goal well in some situations but not others. If the standard deviation/error implies that negative values are reasonable when you know they are not, it is not helping you communicate accurately. Bimodal distributions are another situation in which mean ± SD/SE is likely to mislead.

So what else can you do? If you're interested in the data distribution, just show the full distributions using density plots, violin plots, histograms, or their alternatives. If you're interested in the uncertainty of a parameter, you could show confidence intervals or the posterior distribution. Unlike standard deviation or standard error, these options can be asymmetric and will communicate the data distribution or uncertainty more accurately.

If you must use a numerical summary for a data distribution without referring to a graph, you could use quartiles instead of mean ± SD.

added 390 characters in body
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mkt
  • 20.4k
  • 11
  • 81
  • 187

[edited based on helpful feedback in the comments]

It bothers me immensely when people do this. The argument against it is simple: the standard deviation is typically shown to convey information about uncertaintydata distribution (and standard error for a parameter). It achieves this goal well in some situations but not others. If the standard deviation/error implies that negative values are reasonable when you know they are not, it is not achieving this goal.

So what else can you do? Present confidence intervals instead, or even betterIf you're interested in the data distribution, just show the full distributions using density plots, violin plots or their alternatives. If you're interested in the uncertainty of a parameter, you could show confidence intervals or the posterior distribution. Unlike standard deviation or standard error, these options can be asymmetric and will communicate the data distribution or uncertainty more accurately.

If you must use a numerical summary for a data distribution without referring to a graph, you could use quartiles instead of mean ± SD.

It bothers me immensely when people do this. The argument against it is simple: the standard deviation is typically shown to convey information about uncertainty. It achieves this goal well in some situations but not others. If the standard deviation implies that negative values are reasonable when you know they are not, it is not achieving this goal.

So what else can you do? Present confidence intervals instead, or even better, show full distributions using density plots, violin plots or their alternatives. Unlike standard deviation or standard error, these options can be asymmetric and will communicate the uncertainty more accurately.

[edited based on helpful feedback in the comments]

It bothers me immensely when people do this. The argument against it is simple: the standard deviation is typically shown to convey information about data distribution (and standard error for a parameter). It achieves this goal well in some situations but not others. If the standard deviation/error implies that negative values are reasonable when you know they are not, it is not achieving this goal.

So what else can you do? If you're interested in the data distribution, just show the full distributions using density plots, violin plots or their alternatives. If you're interested in the uncertainty of a parameter, you could show confidence intervals or the posterior distribution. Unlike standard deviation or standard error, these options can be asymmetric and will communicate the data distribution or uncertainty more accurately.

If you must use a numerical summary for a data distribution without referring to a graph, you could use quartiles instead of mean ± SD.

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mkt
  • 20.4k
  • 11
  • 81
  • 187

It bothers me immensely when people do this. The argument against it is simple: the standard deviation is typically shown to convey information about uncertainty. It achieves this goal well in some situations but not others. If the standard deviation implies that negative values are reasonable when you know they are not, it is not achieving this goal.

So what else can you do? Present confidence intervals instead, or even better, show full distributions using density plots, violin plots or their alternatives, or confidence intervals!. Unlike SDstandard deviation or standard error, these options can be asymmetric and will communicate the uncertainty more accurately.

It bothers me immensely when people do this. The argument against it is simple: the standard deviation is typically shown to convey information about uncertainty. It achieves this goal well in some situations but not others. If the standard deviation implies that negative values are reasonable when you know they are not, it is not achieving this goal.

So what else can you do? Present full distributions using density plots, violin plots or their alternatives, or confidence intervals! Unlike SD, these options can be asymmetric and will communicate the uncertainty more accurately.

It bothers me immensely when people do this. The argument against it is simple: the standard deviation is typically shown to convey information about uncertainty. It achieves this goal well in some situations but not others. If the standard deviation implies that negative values are reasonable when you know they are not, it is not achieving this goal.

So what else can you do? Present confidence intervals instead, or even better, show full distributions using density plots, violin plots or their alternatives. Unlike standard deviation or standard error, these options can be asymmetric and will communicate the uncertainty more accurately.

Source Link
mkt
  • 20.4k
  • 11
  • 81
  • 187
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