korrelationsintervall

A korrelationsintervall, or confidence interval for a correlation coefficient, is a range of values that is likely to contain the true population correlation coefficient. It is calculated from sample data and provides a measure of the uncertainty associated with estimating the population correlation from the sample. A common method for calculating a korrelationsintervall involves transforming the sample correlation coefficient using Fisher's z-transformation, constructing a confidence interval for the transformed value, and then transforming the interval back to the original correlation scale. The width of the korrelationsintervall is influenced by the sample size and the magnitude of the observed correlation. A larger sample size generally leads to a narrower interval, indicating greater precision in the estimate. Similarly, a correlation closer to zero will typically result in a wider interval compared to a correlation closer to -1 or 1, assuming the same sample size. The interpretation of a korrelationsintervall is similar to other confidence intervals. For instance, a 95% korrelationsintervall means that if we were to repeatedly draw samples and calculate the interval for each, approximately 95% of these intervals would contain the true population correlation. If the interval does not include zero, it suggests that the observed correlation is statistically significant at the chosen confidence level.