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Glass's δ

Glass's δ is an estimator of the population effect size that uses only the standard deviation of the second group. An effect size is a quantitative measure of the strength of a phenomenon. A population effect size based on means considers the standardized mean difference between two populations.

Glass's \[Delta] equals the differences between the first and second sample means divided by the second sample standard deviation.

Formula

QuantityVariable["δ", "Unitless"] == (QuantityVariable[Subscript[OverBar["x"], "1"], "Unitless"] - QuantityVariable[Subscript[OverBar["x"], "2"], "Unitless"])/QuantityVariable[Subscript["s", "2"], "Unitless"]

symbol description physical quantity
δ Glass's δ "Unitless"
s2 second sample standard deviation "Unitless"
x̅1 first sample mean "Unitless"
x̅2 second sample mean "Unitless"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Glass's \[Delta]"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ResourceObject["Glass's \[Delta]"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[ResourceObject["Glass's \[Delta]"], {QuantityVariable[ \!\(\*SubscriptBox[\("s"\), \("2"\)]\),"Unitless"] -> 9}]
Out[3]=

Source Metadata

  • Creator:
  • Date: 1976

Publisher Information