Can Hedges' g be greater than 1 for paired t-tests?

  • Thread starter Soaring Crane
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In summary, the formula for Hedges' g (effect size) in a paired t-test is calculated by taking the difference between the means of two data sets and dividing it by the average of the standard deviations of the two variables. However, it is important to note that the standard deviations used in this formula are calculated from the sample data, not the population parameters.
  • #1
Soaring Crane
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Can Hedges' g (effect size) for a paired t-test be greater than 1 if the following is the formula for g?


g = (mean_1 - mean_2)/(average standard deviation of the two variables)

Thank you.
 
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  • #2
You should define what you mean by "average standard deviation of the two variables". (And you shouldn't say ithe things involved are parameters of "the variables" if you actually mean the things involved are quantities calculated from a sample.)
 
  • #3
If you have a data set comprised of test scores before studying (G1) and a data set comprised of test scores after studying (G2),

formula would read as:

g = (mean_G1 - mean_G2)/(mean of standard deviation_G1 and standard deviation_G2).

Thank you.
 

Related to Can Hedges' g be greater than 1 for paired t-tests?

1. What is Hedges' g for paired t-test?

Hedges' g for paired t-test is a statistical measure used to determine the effect size of a paired t-test. It takes into account the sample size and differences between the means of two paired groups, and is considered a more accurate measure than Cohen's d.

2. How is Hedges' g for paired t-test calculated?

Hedges' g for paired t-test is calculated by taking the difference between the means of two paired groups and dividing it by the pooled standard deviation of the two groups, adjusted for sample size and a correction factor known as the bias correction factor.

3. What is the interpretation of Hedges' g for paired t-test?

The interpretation of Hedges' g for paired t-test is as follows: 0.2 is considered a small effect size, 0.5 is considered a medium effect size, and 0.8 or above is considered a large effect size. A negative value indicates that the first group had a lower mean than the second group, while a positive value indicates that the first group had a higher mean than the second group.

4. When is Hedges' g for paired t-test used?

Hedges' g for paired t-test is commonly used in research studies to determine the effect size of a paired t-test. It is particularly useful when the sample sizes of the two groups being compared are unequal, as it takes into account this difference in sample size.

5. Are there any limitations to using Hedges' g for paired t-test?

Like any statistical measure, Hedges' g for paired t-test has its limitations. It assumes that the data being analyzed is normally distributed and that the two groups being compared have equal variances. It is also affected by outliers in the data. Additionally, Hedges' g cannot be calculated if the standard deviations of the two groups are both equal to zero or if the pooled standard deviation is equal to zero.

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