Concomitant-based rank set sampling proportion estimates

Statistics in Medicine

Volumn 23, Issue 13, 2004, Pages 2061-2070

  Terpstra, Jeff T ^a   Liudahl, Lindsey A ^a  

^a NORTH DAKOTA STATE UNIVERSITY   (United States)

Author keywords

Bernoulli; Concomitant; Efficiency; Mean; Proportion; Rank set sample

Indexed keywords

ARTICLE; BIOSTATISTICS; BREAST CANCER; CANCER EPIDEMIOLOGY; CANCER STATISTICS; CLINICAL PROTOCOL; CORRELATION COEFFICIENT; HUMAN; MATHEMATICAL MODEL; MEDICAL LITERATURE; OUTCOMES RESEARCH; POPULATION DISTRIBUTION; RANK SUM TEST; RELIABILITY; STANDARDIZATION; STATISTICAL ANALYSIS; STATISTICAL DISTRIBUTION; VALIDATION PROCESS;

BREAST NEOPLASMS; FEMALE; HUMANS; MODELS, STATISTICAL; UNITED STATES;

EID: 3242743805     PISSN: 02776715     EISSN: None     Source Type: Journal    
DOI: 10.1002/sim.1799     Document Type: Article

References (26)

1. McIntyre GA. A method of unbiased selective sampling using ranked sets. Australian Journal of Agricultural Research 1952; 3:385-390.
2. Patil GP, Sinha AK, Taillie C. Ranked set sampling. In Handbook of Statistics, Volume 12 of Environmental Statistics. Elsevier/North-Holland; New York: Amsterdam; 1994; 167-200.
3. Patil GP, Sinha AK, Taillie C. Ranked set sampling: a bibliography. Environmental and Ecological Statistics 1999; 6:91-98.
4. Bohn LL. A review of nonparametric ranked-set sampling methodology. Communications in Statistics 1996; 25(11):2675-2685.
5. Kaur A, Patil GP, Sinha AK, Taillie C. Ranked set sampling: an annotated bibliography. Environmental and Ecological Statistics 1996; 2:25-54.
6. Hassen A, Muttlak, Fraiwan Al Saleh M. Recent developments in ranked set sampling. Pakistan Journal of Statistics 2000; 16(3):269-290.
7. Lynne Stokes S. Ranked set sampling with concomitant variables. Communications in Statistics, Part A - Theory and Methods 1977; 6:1207-1212.
8. Patil GP, Sinha AK, Taillie C. Relative precision of ranked set sampling: a comparison with the regression estimator. EnvironMetrics 1993; 4:399-412.
9. Yu P, Lam K. Regression estimator in ranked set sampling. Biometrics 1997; 53(3):1070-1080.
10. Zehua Chen. Ranked-set sampling with regression-type estimators. Journal of Statistical Planning and Inference 2001; 92(1-2):181-192.
11. Barnett V, Barreto M. Estimators for a poisson parameter using ranked set sampling. Journal of Applied Statistics 2001; 28(8):929-942.
12. Terpstra J, Nelson E. Optimal rank set sampling estimates for a population proportion. Journal of Statistical Planning and Inference 2004; to appear.
13. Bohn LL, Wolfe DA. The effect of imperfect judgement rankings on properties of procedures based on the ranked-set samples analog of the Mann-Whitney-Wilcoxon statistic. Journal of American Statistical Association 1994; 89(425):168-170.
14. Presnell B, Bohn LL. U-statistics and imperfect ranking in ranked set sampling. Journal of Nonparametric Statistics 1999; 10(2):111-126.
15. Yang SS. General distribution theory of the concomitants of order statistics. Annals of Statistics 1977; 5(5):996-1002.
16. Takahasi K, Wakimoto K. On unbiased estimates of the population mean based on the sampling stratified by means of ordering. Annals of the Institute of Statistical Mathematics 1968; 20:1-31.
17. Terpstra J. On estimating a population proportion via ranked set sampling. Technical Report. North Dakota State University, 2002.
18. Tiwari RC, Kvam PH. Ranked set sampling from location-scale families of symmetric distributions. Communications on Statistics Theory and Methods 2001; 30(8-9):1641-1659.
19. Mangasarian OL, Setiono R, Wolberg WH. Pattern recognition via linear programming: theory and application to medical diagnosis. In Large-Scale Numerical Optimization, Ithaca NY, 1989. SIAM: Philadelphia, PA, 1990; 22-31.
20. Wolberg WH, Mangasarian OL. Multisurface method of pattern separation for medical diagnosis applied to breast cytology. In Proceedings of the National Academy of Sciences, vol. 87, 1990; 9193-9196.
21. Pardoe I, Dennis Cook R. A graphical method for assessing the fit of a logistic regression model. The American Statistician 2002; 56(4):263-272.
22. Hettmansperger TP, McKean JW. Robust Nonparametric Statistical Methods. Great Britain: Arnold, 1998.
23. Dell TR, Clutter JL. Ranked set sampling theory with order statistics background. Biometrics 1972; 28:545-555.
24. Barry C, Arnold N, Balakrishnan, Nagaraja HN. A First Course in Order Statistics. Wiley: New York, 1992 (A Wiley-Interscience Publication).
25. Patil GP, Sinha AK, Taillie C. Ranked set sampling for multiple characteristics. International Journal of Ecology and Environmental Sciences 1994; 20:357-373.
26. Bhattacharya PK. Induced order statistics: theory and applications. In Nonparametric Methods, Volume 4 of Handbook of Statistics. North-Holland: Amsterdam; 1984; 383-403.