Table 8 RE of memory-type and proposed calibrated ratio estimators at different values of correlation coefficient ρ, smoothing parameters \(\:\lambda\:=0.10,\:0.15,\:0.25,\) and sample sizes \(\:n\).

From: Innovative memory-type calibration estimators for better survey accuracy in stratified sampling

ρ

n

RE

λ = 0.1

λ = 0.15

λ = 0.25

λ = 0.50

λ = 0.75

λ = 1.00

0.05

10

49.41

74.06

100.91

144.00

168.44

186.83

20

54.96

73.61

101.49

143.01

168.46

188.23

30

56.03

75.14

102.21

144.54

169.58

188.12

50

55.89

72.91

102.21

143.87

170.99

188.38

200

55.60

82.00

10.10

152.27

167.94

189.74

500

55.50

84.00

98.33

135.00

17.47

185.09

0.25

10

54.83

76.07

109.95

164.65

193.68

210.73

20

56.80

77.98

110.53

164.40

195.26

214.59

30

58.93

75.21

112.53

164.14

401.17

214.40

50

56.33

77.95

112.58

166.34

196.74

212.85

200

60.50

76.80

113.50

175.78

203.29

212.86

500

50.00

7.50

135.00

155.75

188.83

209.33

0.50

10

55.99

80.86

126.90

205.48

248.72

265.56

20

56.82

81.43

127.15

209.83

250.16

266.39

30

57.04

83.22

129.61

207.67

250.45

266.26

50

57.33

82.65

125.26

212.19

252.45

267.08

200

54.50

83.25

120.20

198.40

252.90

279.40

500

445.00

66.50

118.50

184.33

25.20

279.17

0.75

10

57.79

88.04

156.72

312.69

388.94

82.65

20

58.73

90.61

159.39

316.69

395.52

83.46

30

58.14

91.50

161.27

313.04

403.22

83.27

50

60.54

92.46

165.54

307.81

405.00

83.80

200

6.43

100.00

177.00

30.65

364.33

77.85

500

77.00

123.00

212.00

249.00

44.10

74.65

0.95

10

59.42

100.75

209.52

643.41

894.66

707.74

20

59.66

100.89

211.91

647.71

935.62

740.02

30

56.10

103.17

214.47

671.09

944.57

738.03

50

60.75

95.82

208.22

61.89

991.75

737.61

200

58.00

87.00

235.00

551.50

995.00

824.75

500

71.00

104.00

192.00

63.14

791.00

666.00