Efficiency Evaluation of Ranked Set Sampling Techniques using Secondary Agricultural Data
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Keywords:
Ranked Set Sampling (RSS); Simple Random Sampling (SRS); Agricultural data; Efficiency analysis; STATA; Secondary data analysisAbstract
Ranked Set Sampling (RSS) can improve estimation efficiency when measurement is costly or time-consuming. This study compares RSS with
Simple Random Sampling (SRS) using secondary agricultural data from official Indian sources. Four RSS variants are evaluated using relative
efficiency, imperfect-ranking simulations, and bootstrap variance estimation. Results show that RSS generally provides greater precision than SRS,
particularly when reliable auxiliary information is available, highlighting its potential for cost-effective agricultural surveys.
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References
1. Alomair, M.A., Peanpailoon, C., Andrabi, R., Tundo, A., and Rather,
2. K.U. (2025). Estimating the population mean using stratified
3. double unified ranked set sampling for asymmetric distributions.
4. Reliability: Theory & Applications, 20(1(82)), 557–572.
5. Bhoj, R., and Chandra, G. (2024). Weighted ranked set sampling for
6. skewed distributions. Mathematics, 12(13), 2023.
7. Biswas, A., Rai, A., and Ahmad, T. (2020). Rescaling bootstrap
8. technique for variance estimation for ranked set samples in
9. finite population. Communications in Statistics-Simulation and
10. Computation, 49(10), 2704–2718.
11. Bouza-Herrera, C.N., Sautto, J.M., and Rather, K.U. (2022). Ratio-type
12. estimation using scrambled auxiliary variables in stratification
13. under simple random sampling and ranked set sampling. In
14. Ranked Set Sampling Models and Methods 62–85.
15. Dell, T.R., and Clutter, J.L. (1972). Ranked set sampling theory with
16. order statistics background. Biometrics, 28(2), 545–555.
17. Jeelani, M.I., Al E’damat, A., Rashid, I., Geelani, S.N.Z., Tabassum,
18. A., and Rather, K.U. (2023). Evaluation of ranked set sampling
19. methods under skewed and unskewed distributions. Journal of
20. Statistics Applications & Probability, 12(2), 629–633.
21. Koçyiğit, E.G., and Rather, K.U. (2024). Generalized exponential ratio
22. type estimator for the finite population mean under ranked set
23. sampling. Journal of Statistical Theory and Practice.
24. McIntyre, G.A. (1952). A method for unbiased selective sampling using
25. ranked sets. Australian Journal of Agricultural Research, 3(4),
26. 385–390.
27. Mehta, M., and Mandowara, J. (2022). Unbiased ratio and product
28. estimators using auxiliary information under ranked set sampling.
29. International Journal of Agricultural and Statistical Sciences,
30. 18(1), 89–96.
31. Moreno, A.S., and Rather, K.U. (2022). On estimating population
32. means of two sensitive variables with ranked set sampling design.
33. In Ranked Set Sampling Models and Methods (pp. 42–61).
34. Modarres, R., Hui, T.P., and Zheng, G. (2006). Resampling methods
35. for ranked set samples. Computational Statistics & Data Analysis,
36. 51(2), 1039–1050.
37. Ozturk, O., Kravchuk, O., and Correll, R. (2022). Row–column
38. sampling design using auxiliary ranking variables. Journal of
39. Agricultural, Biological and Environmental Statistics, 27(4),
40. 652–673.
41. Rather, K.U. (2025). A simulation study on strategic strata boundary
42. determination using ranked set sampling technique. Afrika
43. Matematika, 36(3), 116.
44. Rather, K.U., Ali, A., and Jeelani, M. I. (2022). An improved difference
45. cum-exponential ratio type estimator in ranked set sampling.
46. Reliability: Theory & Applications, 17(4(71)), 469–476.
47. Rather, K.U., Jeelani, M.I., Shah, M.Y., Rizvi, S.E.H., and Sharma, M.
48. (2022). A new ratio-type estimator for computation of population
49. mean under post-stratification with ranked set sampling. Journal
50. of Applied Mathematics & Statistics Information, 18(1).
51. Rather, K.U., Kadilar, C. (2021). Exponential-type estimator for the
52. population mean under ranked set sampling. Journal of Statistics:
53. Advances in Theory and Applications, 25(1), 1–12.
54. Rather, K.U., and Koçyiğit, E.G. (2023). The new sub-regression type
55. estimator in ranked set sampling. Journal of Statistical Theory and
56. Practice.
57. Rather, K.U., Koçyiğit, E.G., and Ünal, C. (2022). New exponential
58. ratio estimator in ranked set sampling. Pakistan Journal of
59. Statistics and Operation Research, 18(3), 403–409.
60. Rather, K.U., Rizvi, S.E.H. (2022). Approximate optimum strata
61. boundaries for equal allocation under ranked set sampling. Journal
62. of Scientific Research, 66(3), 302–307.
63. Rather, K.U., Rizvi, S.E.H., Sharma, M., and Jeelani, M.I. (2022).
64. Optimum stratification for equal allocation using ranked set
65. sampling as a method of selection. International Journal of
66. Statistics and Applied Mathematics, 7(2), 63–67.
67. Rather, K.U., Rizvi, S.E.H., Sharma, M., Jeelani, M.I., and
68. Allende, S. (2024). Approximate optimum strata boundaries
69. for
70. Neyman allocation under ranked set sampling.
71. RevistaInvestigaciónOperacional, 45(3), 354–368.
72. Rather, K U., Rizvi, S.E.H., Sharma, M., and Jeelani, M.I. (2023).
73. Approximate optimum strata boundaries for proportional
74. allocation using ranked set sampling. Reliability: Theory &
75. Applications, 18(1(72)), 161–171.
76. Riyaz, S., Maqbool, S., Jan, T.R., and Rather, K.U. (2021). Ranked set
77. sampling scheme for estimation of population mean using a new
78. linear combination. Reliability: Theory & Applications.
79. Riyaz, S., Maqbool, S., Jan, T.R., and Rather, K.U. (2023). Ratio
80. estimator of population mean using a new linear combination
81. under ranked set sampling. Reliability: Theory & Applications,
82. 18(2(73)), 479–485.
83. Robertson, B.L., Brown, J.A., and McDonald, T.L. (2022). Spatially
84. balanced sampling with local ranking for environmental
85. monitoring. Environmental and Ecological Statistics, 29(4), 987
86. 1005.
87. Singh, R., and Kumari, A. (2024). Improved estimators of population
88. mean using stratified ranked set sampling with auxiliary
89. information. Journal of Statistical Research in Practice, 8(2),
90. 45–57.
91. Takahasi, K., and Wakimoto, K. (1968). On unbiased estimates of
92. the population mean based on the sample stratified by means of
93. ordering. Annals of the Institute of Statistical Mathematics, 20(1),
94. 1–31.
95. Taconeli, C.A., and Fiorentin, L.D. (2023). Efficiency evaluation of
96. ranked set sampling in forest inventories. Brazilian Biometric
97. Journal, 41(2), 143–159.
98. Rather, K.U., Rizvi, S.E.H., Sharma, M., and Jeelani, M.I. (2023).
99. Approximate optimum strata boundaries for proportional
100. allocation using ranked set sampling. Reliability: Theory &
101. Applications, 18(1(72)), 161–171.
102. Yousuf, R., Bhat, M.I.J., Wani, Z.H., and Rather, K.U. (2021). A
103. new form of ratio estimator under rank set sampling. Journal of
104. Statistical Applications and Probability Letters.
105. Ozturk, O., Kravchuk, O., and Correll, R. (2022). Row–column
106. sampling design using auxiliary ranking variables. Journal of
107. Agricultural, Biological and Environmental Statistics, 27(4),
108. 652–673