Description

The standardized increment (SI) can be used to compare two treatment groups in a study.


 

Synonym: effect size, standardized mean difference

 

Parameters:

(1) number of subjects in group A

(2) mean value for group A

(3) standard deviation for group A

(4) number of subjects in group B (often the placebo control)

(5) mean value for group B

(6) standard deviation for group B

 

pooled group variance =

= (((number in A) - 1) * ((standard deviation for A)^2)) + (((number in B) - 1) * ((standard deviation for B)^2))

 

total degrees of freedom =

= ((number in A) - 1) + ((number in B) - 1)

 

common standard deviation =

= SQRT((pooled group variance) / (total degrees of freedom)

 

standardized increment =

= ((mean for group A) - (mean for group B)) / (common standard deviation)

 

Interpretation:

• A value of 0 indicates no difference between the 2 groups.

• If a higher score indicates a better outcome, then a positive SI indicates that group A is better than group B.

• If a lower score indicates a better outcome, then a negative SI indicates that group A is better than group B.

 


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