Command: Statistics
Next selectAgreement & responsiveness
Next selectResponsiveness


Allows to calculate various indices for responsiveness, which is the ability to detect any change.

Required input


  • 1st and 2nd measurement: the variables for a 1st and 2nd measurement.
  • Filter: an optional filter to include only a selected subgroup of subjects (rows).
  • Options
    • Paired data: select this option when the variables for 1st and 2nd measurements contain paired data (measurements are repeated on the same subjects). If the 2 measurements are independent, unselect this option.
    • Advanced: the confidence intervals for the different indices of responsiveness are estimated using the bias-corrected and accelerated (BCa) bootstrap (Efron, 1987; Efron & Tibshirani, 1993). Click the Advanced... button for bootstrapping options such as number of replications and random-number seed.



Summary statistics

  • The sample size, mean, variance and standard deviation of the 1st and 2nd measurement.


  • The average difference between the two measurements with the pooled standard deviation and (in case of paired observations) the standard deviation of the paired differences.

Indices of responsiveness

  • Effect size (ES) using baseline SD: this is the average difference divided by the standard deviation of the 1st measurement (this is Glass' Δ).
  • Effect size (ES) using pooled SD: this is the average difference divided by the pooled standard deviation of both measurements (this is Cohen's d).
  • Standardized response mean (SRM): this is the average difference divided by the standard deviation of the differences between the paired measurements.


  • Efron B (1987) Better Bootstrap Confidence Intervals. Journal of the American Statistical Association 82:171-185.
  • Efron B, Tibshirani RJ (1993) An introduction to the Bootstrap. Chapman & Hall/CRC. Book info
  • Husted JA, Cook RJ, Farewell VT, Gladman DD (2000) Methods for assessing responsiveness: a critical review and recommendations. Journal of Clinical Epidemiology 53:459-168. PubMed
  • Norman GR, Wyrwich KW, Patrick DL (2007) The mathematical relationship among different forms of responsiveness coefficients. Quality of Life Research 16:815-822.

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