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Calculate Correlation Coefficient (CC) from Standard Deviation (SD)

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If you want to convert or calculate data for more than one study at the same time, enter data for study 1, study 2, study 3, ...etc, RESPECTIVELY across all cells using the same order.

Study ID Baseline SD Post Treatment SD SD Change Correlation Coefficient

Description of the formula

Variables Definitions

  1. Baseline SD: This represents the standard deviation of a set of data before any treatment or intervention. It is a measure of the amount of variation in the initial dataset.
  2. Post-Treatment SD: This is the standard deviation of the same set of data after a treatment or intervention has been applied. It measures the amount of variation in the dataset following the treatment.
  3. SD Change: The difference between the baseline standard deviation and the post-treatment standard deviation. It indicates how much the standard deviation has changed due to the treatment.
  4. Correlation Coefficient (CC): The result of the conversion, representing the strength and direction of the linear relationship between the two variables. The correlation coefficient ranges from -1 to 1, where -1 indicates a perfect negative linear relationship, 1 indicates a perfect positive linear relationship, and 0 indicates no linear relationship.

Conversion Formula

The conversion from standard deviation to correlation coefficient is done using the following formula:

This formula is derived from the relationship between correlation coefficients and standard deviations.

**Formula Reference - Cochrane Handbook**