Analysis of Daily Distress Symptoms: Threshold Estimation after Isolating the Distress Group Lee, Won-Nyung; Song, Hae-Hiang;
After selecting a group of women with premenstrual syndrome based on daily distress scores of 28 days, one needs to estimate threshold for the change of symptoms, which would be useful for the clinician's diagnosis in hospitals. However, a test of whether a change has occurred has to precede the estimation of the threshold. In this paper, we apply parametric and nonparametric testing methods to an example data obtained from a group of women. Nonparametric method does not assume any distributional form of distress scores and parametric testing method is based on the normal distributions of linear regression lines. Therefore, the optimal situation of both methods would be different and we will assess it with a simulation study.
Runs;Cox-Stuart;change-point of slopes;symptom patterns;
김정은 (1995). , 서울대학교 대학원, 간호학 박사학위 논문.
Bacon, D. W. and Watts, D. G. (1971). Estimating the transition between two intersecting straight lines, Biometrika, 58, 525-534.
Beckman, R. J. and Cook, R. D. (1979). Testing for two phase regressions, Technometrics, 21, 65-69.
Brown, R .L., Durbin, J. and Evans, J. M. (1975). Techniques for testing the constancy of regression relationships over time, Journal of the Royal Statistical Society Series B, 37, 149-192.
Choy, J. H. C. and Broemeling, L. D. (1980). Some Bayesian inferences for a changing linear model, Technometrics, 22, 71-78.
Cox, D. R. and Stuart, A. (1955). Some quick sign tests for trend in location and dispersion, Biometrika, 42, 80-95.
Daniel, W. W. (1989). Applied Nonparametric Statistics., PWS-KENT Publishing Company, Boston.
Esterby, S. R. and El-Shaarawi, A. H. (1981). Inference about the point of change in a regression model, Journal of Applied Statistical Science, 3, 277-285.
Ferreira, P. E. (1975). A Bayesian analysis of a switching regression model known number of regimes, Journal of the American Statistical Association, 70, 370-374.
Hinkley, D. V. (1969). Inference about the intersection in two phase regression, Biometrika, 56, 495-504.
Hinkley, D. V. (1971). Inference in two phase regression, Journal of the American Statistical Association, 66, 736-743.
James, B., Kang, L. J. and Siegmund, D. (1987). Tests for a change point, Biometrika, 74, 71-83.
Kim, H. J. and Siegmund, D. (1989). The likelihood ratio test for a change point in simple linear regression, Biometrika, 76, 409-423.
Magos, A. L. and Studd, J. W. (1986). Assessment of menstrual cycle symptoms by trend analysis, American Journal of Obstetrics and Gynecology, 155, 271-277.
Muse, K. N., Cetel, N. S., Futterman, L. A. and Yen, S. S. C. (1984). The premenstrual syndrome effects of medical ovariectomy, New England Journal of Medicine, 311, 1345-1349.
Pettitt, A. N. (1979). A nonparametric approach to the change point problem, Journal of Applied Statistical Science, 28, 126-135.
Quandt, R. E. (1958). The estimation of the parameters of a linear regression system obeying two separate regimes. Journal of the American Statistical Association, 53, 873-880.
Quandt, R. E. (1960). A test for a threshold in an ordered sequence of correlated proportions, Journal of the American Statistical Association, 55, 324-330.