Efficiency Evaluation of Ranked Set Sampling Techniques using Secondary Agricultural Data


1 / 2

Authors

  • Khalid Ul Islam Rather Sher-e-Kashmir Institute of Medical Sciences, Soura, J&K, India

Keywords:

Ranked Set Sampling (RSS); Simple Random Sampling (SRS); Agricultural data; Efficiency analysis; STATA; Secondary data analysis

Abstract

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.

Downloads

Download data is not yet available.

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

Downloads

Published

2026-11-10

Issue

Section

Articles

How to Cite

Khalid Ul Islam Rather. (2026). Efficiency Evaluation of Ranked Set Sampling Techniques using Secondary Agricultural Data. Journal of the Indian Society of Agricultural Statistics, 80(3), 439-446. https://epubs.icar.org.in/index.php/JISAS/article/view/185900