Abstract
Kappa
katsayısı iki değerlendiricinin sınıflandırmaları arasındaki uyumu ölçen
popüler bir istatistiktir. Kappa katsayısı ve varyansının tahmini yaklaşık
olarak basit rasgele örnekleme yöntemiyle elde edilir. Kappa istatistiğinin
güven aralığı tahmininde daha etkin sonuçlar elde edebilmek için tabakalı rasgele
örnekleme yöntemi de kullanılabilir. Bu çalışmada, kappa katsayısının güven
aralığı tahmin etmek için tabakalı rasgele örneklem seçimi altında bir
bootstrap yöntemi önerilmiştir. Sonuçlar üç veri kümesi üzerinden
tartışılmıştır.
References
- Cohen, J. (1960). A coefficient of agreement for nominal scales. Educational and Psychological Measurement, 20(1), 37-46.
- Fleiss, J.L., Cohen, J., and Everitt, B.S. (1996). Large sample standard errors of kappa and weighted kappa. Psychological Bulletin, 72, 323-327.
- Stehman, S.V. (1996). Estimating the kappa coefficient and its variance under stratified random sampling. Photogrammetric Engineering and Remote Sensing, 62(4), 401-407.
- Cochran, W.G. (1977). Sampling techniques, 3rd ed., John Wiley and Sons, New York.
- Särdal, C.E., Swensson, B., and Wretman, J. (1992). Model-assisted survey sampling, Springer-Verlag, New York.
- Efron, B., and Tibshirani R.J. (1993). An introduction to the bootstrap, Monographs on statistics and applied probability, no. 57., Chapman and Hall, London.
- Klar, N., Lipsitz, S.R., Parzen, M., and Leong, T. (2002). An exact bootstrap confidence interval for κ in small samples. The Statistician, 51(4), 467-478.
- Jiménez-Navarro, M.F., Garcia-Pinilla, J.M., and Garrido-Sanchez, L., et al. (2010). Poor reproducibility of the oral glucose tolerance test in the diagnosis of diabetes during percutaneous intervention. International Journal of Cardiology, 142(3), 245-249.
- Landis, J.R., and Koch, G.G. (1977). The measurement of observed agreement for categorical data. Biometrics, 33(1), 159-174.
- Stuart, A., (1953). The estimation and comparison of strengths of association in contingency tables. Biometrika, 40: 105-110.
Abstract
Kappa coefficient is a popular statistic to measure
the agreement between the classifications of two raters. The estimator of the coefficient
and its variance are approximately satisfied by a simple random sampling method.
To get more efficient results for confidence interval estimation of kappa,
stratified random sampling method can also be used, alternatively. In this
study, a bootstrap method under stratified sampling is suggested to use to
estimate the confidence interval of kappa coefficient. The results are
discussed over three data sets.
References
- Cohen, J. (1960). A coefficient of agreement for nominal scales. Educational and Psychological Measurement, 20(1), 37-46.
- Fleiss, J.L., Cohen, J., and Everitt, B.S. (1996). Large sample standard errors of kappa and weighted kappa. Psychological Bulletin, 72, 323-327.
- Stehman, S.V. (1996). Estimating the kappa coefficient and its variance under stratified random sampling. Photogrammetric Engineering and Remote Sensing, 62(4), 401-407.
- Cochran, W.G. (1977). Sampling techniques, 3rd ed., John Wiley and Sons, New York.
- Särdal, C.E., Swensson, B., and Wretman, J. (1992). Model-assisted survey sampling, Springer-Verlag, New York.
- Efron, B., and Tibshirani R.J. (1993). An introduction to the bootstrap, Monographs on statistics and applied probability, no. 57., Chapman and Hall, London.
- Klar, N., Lipsitz, S.R., Parzen, M., and Leong, T. (2002). An exact bootstrap confidence interval for κ in small samples. The Statistician, 51(4), 467-478.
- Jiménez-Navarro, M.F., Garcia-Pinilla, J.M., and Garrido-Sanchez, L., et al. (2010). Poor reproducibility of the oral glucose tolerance test in the diagnosis of diabetes during percutaneous intervention. International Journal of Cardiology, 142(3), 245-249.
- Landis, J.R., and Koch, G.G. (1977). The measurement of observed agreement for categorical data. Biometrics, 33(1), 159-174.
- Stuart, A., (1953). The estimation and comparison of strengths of association in contingency tables. Biometrika, 40: 105-110.
Details
| Primary Language | English |
|---|---|
| Journal Section | Research Articles |
| Authors | |
| Publication Date | September 1, 2020 |
| Published in Issue | Year 2020 Volume: 32 Issue: 3 |