Performs the Shapiro–Wilk normality test, which assesses whether a sample originates from a normally distributed population using a regression-based correlation method.
Usage
Shapiro_Wilk_test(
x,
alpha = 0.05,
method = c("SWR", "SF", "SW"),
silent = FALSE,
summary = TRUE,
misc = FALSE,
resampling = TRUE
)Arguments
- x
A numeric vector.
- alpha
Significance threshold (default: 0.05).
- method
Character (default: "SWR"). Use which modification of the test? Available options are c("SWR", "SF", "SW").
- silent
Logical (default: FALSE). If
FALSE, print out the results.- summary
Logical (default: TRUE). Produce a summary table.
- misc
Logical (default: FALSE). Output other unimportant parameters.
- resampling
Logical (default: TRUE). If
TRUE, unlock the sample size limitation of the test by using sample resampling method.
Details
method
"SW": Shapiro–Wilk test, the original normality test proposed by Shapiro and Wilk (1965). Applicable only for sample sizes 3 <= n <= 50.
"SF": Shapiro–Francia test, proposed by Shapiro and Francia (1972) and subsequently simplified and extended by Royston (1993). Applicable only for sample sizes 5 <= n <= 5000.
"SWR": Shapiro–Wilk test with Royston's (1992) modifications for approximating the null distribution and extending the test to larger sample sizes. Applicable only for sample sizes 3 <= n <= 5000.
References
Shapiro, S.S., Wilk, M.B., 1965. An Analysis of Variance Test for Normality (Complete Samples). Biometrika 52, 591–611. https://doi.org/10.2307/2333709
Shapiro, S.S., Francia, R.S., 1972. An Approximate Analysis of Variance Test for Normality. J. Am. Stat. Assoc. 67, 215–216. https://doi.org/10.1080/01621459.1972.10481232
Royston, P., 1993. A pocket-calculator algorithm for the Shapiro–Francia test for non-normality: an application to medicine. Stat. Med. 12, 181–184. https://doi.org/10.1002/sim.4780120209
Royston, P., 1992. Approximating the Shapiro–Wilk W-test for non-normality. Stat. Comput. 2, 117–119. https://doi.org/10.1007/BF01891203
Examples
sw <- Shapiro_Wilk_test(rnorm(20), method = "SW")
#>
#> ---------------------------------
#> Shapiro-Wilk (W) normality test
#>
#> Statistic (W) = 0.9505
#> p-value = 0.41261
#> ---------------------------------
print(sw$summary)
#> alpha statistic pval signif standard_value critical_value
#> Shapiro-Wilk (W) 0.05 0.9504793 0.4126078 ns 0.9504793 0.905
#> SE CI_lower CI_upper N AVG MED MIN MAX
#> Shapiro-Wilk (W) NA NA NA 20 0.05897066 0.07451203 -1.5091 1.876506
#> SD
#> Shapiro-Wilk (W) 1.027541
sf <- Shapiro_Wilk_test(rnorm(100) ^ 2, method = "SF")
#>
#> -------------------------------------
#> Shapiro-Francia (W') normality test
#>
#> Statistic (W) = 0.7412
#> p-value = 0
#> -------------------------------------
print(sf$summary)
#> alpha statistic pval signif standard_value
#> Shapiro-Francia (W') 0.05 0.7412324 2.135711e-10 *** 6.243772
#> critical_value SE CI_lower CI_upper N AVG MED
#> Shapiro-Francia (W') 1.644854 NA NA NA 100 1.109753 0.6198591
#> MIN MAX SD
#> Shapiro-Francia (W') 9.771503e-06 7.016841 1.409735
swr <- Shapiro_Wilk_test(rnorm(1e6), method = "SWR")
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#>
#> -----------------------------------------
#> Shapiro-Wilk-Royston (w) normality test
#>
#> Statistic (W) = 0.9999
#> p-value = 1
#> -----------------------------------------
print(swr$summary)
#> alpha statistic pval signif standard_value critical_value SE
#> resample_1 0.05 0.9995387 0.2791191 ns 0.5854604 1.644854 NA
#> resample_2 0.05 0.9995685 0.3408555 ns 0.4101296 1.644854 NA
#> resample_3 0.05 0.9998277 0.9772006 ns -1.9990876 1.644854 NA
#> resample_4 0.05 0.9998568 0.9934898 ns -2.4832112 1.644854 NA
#> resample_5 0.05 0.9998624 0.9951878 ns -2.5890416 1.644854 NA
#> resample_6 0.05 0.9998759 0.9978839 ns -2.8603217 1.644854 NA
#> resample_7 0.05 0.9998886 0.9991668 ns -3.1440107 1.644854 NA
#> resample_8 0.05 0.9999040 0.9997958 ns -3.5346601 1.644854 NA
#> resample_9 0.05 0.9999058 0.9998304 ns -3.5834306 1.644854 NA
#> resample_10 0.05 0.9999206 0.9999724 ns -4.0327272 1.644854 NA
#> resample_11 0.05 0.9999244 0.9999841 ns -4.1595266 1.644854 NA
#> resample_12 0.05 0.9999279 0.9999908 ns -4.2831062 1.644854 NA
#> resample_13 0.05 0.9999324 0.9999958 ns -4.4540662 1.644854 NA
#> resample_14 0.05 0.9999336 0.9999966 ns -4.4999763 1.644854 NA
#> resample_15 0.05 0.9999341 0.9999969 ns -4.5208686 1.644854 NA
#> resample_16 0.05 0.9999354 0.9999976 ns -4.5717429 1.644854 NA
#> resample_17 0.05 0.9999434 0.9999996 ns -4.9209176 1.644854 NA
#> resample_18 0.05 0.9999449 0.9999997 ns -4.9915240 1.644854 NA
#> resample_19 0.05 0.9999453 0.9999997 ns -5.0069350 1.644854 NA
#> resample_20 0.05 0.9999496 0.9999999 ns -5.2246568 1.644854 NA
#> resample_21 0.05 0.9999508 0.9999999 ns -5.2847087 1.644854 NA
#> resample_22 0.05 0.9999528 1.0000000 ns -5.3983923 1.644854 NA
#> resample_23 0.05 0.9999536 1.0000000 ns -5.4382671 1.644854 NA
#> resample_24 0.05 0.9999564 1.0000000 ns -5.6045588 1.644854 NA
#> resample_25 0.05 0.9999581 1.0000000 ns -5.7072530 1.644854 NA
#> resample_26 0.05 0.9999604 1.0000000 ns -5.8556569 1.644854 NA
#> resample_27 0.05 0.9999608 1.0000000 ns -5.8843598 1.644854 NA
#> resample_28 0.05 0.9999614 1.0000000 ns -5.9223013 1.644854 NA
#> resample_29 0.05 0.9999620 1.0000000 ns -5.9635196 1.644854 NA
#> resample_30 0.05 0.9999625 1.0000000 ns -5.9999726 1.644854 NA
#> resample_31 0.05 0.9999629 1.0000000 ns -6.0305923 1.644854 NA
#> resample_32 0.05 0.9999634 1.0000000 ns -6.0608863 1.644854 NA
#> resample_33 0.05 0.9999641 1.0000000 ns -6.1146134 1.644854 NA
#> resample_34 0.05 0.9999655 1.0000000 ns -6.2218430 1.644854 NA
#> resample_35 0.05 0.9999663 1.0000000 ns -6.2806950 1.644854 NA
#> resample_36 0.05 0.9999667 1.0000000 ns -6.3097971 1.644854 NA
#> resample_37 0.05 0.9999671 1.0000000 ns -6.3454900 1.644854 NA
#> resample_38 0.05 0.9999676 1.0000000 ns -6.3818121 1.644854 NA
#> resample_39 0.05 0.9999682 1.0000000 ns -6.4363625 1.644854 NA
#> resample_40 0.05 0.9999696 1.0000000 ns -6.5492359 1.644854 NA
#> resample_41 0.05 0.9999699 1.0000000 ns -6.5775581 1.644854 NA
#> resample_42 0.05 0.9999703 1.0000000 ns -6.6117165 1.644854 NA
#> resample_43 0.05 0.9999708 1.0000000 ns -6.6593855 1.644854 NA
#> resample_44 0.05 0.9999713 1.0000000 ns -6.7053955 1.644854 NA
#> resample_45 0.05 0.9999725 1.0000000 ns -6.8108662 1.644854 NA
#> resample_46 0.05 0.9999734 1.0000000 ns -6.9012840 1.644854 NA
#> resample_47 0.05 0.9999737 1.0000000 ns -6.9305568 1.644854 NA
#> resample_48 0.05 0.9999744 1.0000000 ns -6.9992352 1.644854 NA
#> resample_49 0.05 0.9999747 1.0000000 ns -7.0296077 1.644854 NA
#> resample_50 0.05 0.9999749 1.0000000 ns -7.0551457 1.644854 NA
#> resample_51 0.05 0.9999751 1.0000000 ns -7.0754282 1.644854 NA
#> resample_52 0.05 0.9999753 1.0000000 ns -7.0976888 1.644854 NA
#> resample_53 0.05 0.9999760 1.0000000 ns -7.1699567 1.644854 NA
#> resample_54 0.05 0.9999763 1.0000000 ns -7.1984408 1.644854 NA
#> resample_55 0.05 0.9999766 1.0000000 ns -7.2367856 1.644854 NA
#> resample_56 0.05 0.9999768 1.0000000 ns -7.2579650 1.644854 NA
#> resample_57 0.05 0.9999775 1.0000000 ns -7.3427322 1.644854 NA
#> resample_58 0.05 0.9999778 1.0000000 ns -7.3702336 1.644854 NA
#> resample_59 0.05 0.9999778 1.0000000 ns -7.3752392 1.644854 NA
#> resample_60 0.05 0.9999780 1.0000000 ns -7.3949789 1.644854 NA
#> resample_61 0.05 0.9999781 1.0000000 ns -7.4112144 1.644854 NA
#> resample_62 0.05 0.9999786 1.0000000 ns -7.4687286 1.644854 NA
#> resample_63 0.05 0.9999788 1.0000000 ns -7.5006671 1.644854 NA
#> resample_64 0.05 0.9999789 1.0000000 ns -7.5084254 1.644854 NA
#> resample_65 0.05 0.9999794 1.0000000 ns -7.5733092 1.644854 NA
#> resample_66 0.05 0.9999797 1.0000000 ns -7.6065920 1.644854 NA
#> resample_67 0.05 0.9999799 1.0000000 ns -7.6302200 1.644854 NA
#> resample_68 0.05 0.9999802 1.0000000 ns -7.6717116 1.644854 NA
#> resample_69 0.05 0.9999803 1.0000000 ns -7.6886470 1.644854 NA
#> resample_70 0.05 0.9999804 1.0000000 ns -7.7019004 1.644854 NA
#> resample_71 0.05 0.9999811 1.0000000 ns -7.7936847 1.644854 NA
#> resample_72 0.05 0.9999812 1.0000000 ns -7.8114917 1.644854 NA
#> resample_73 0.05 0.9999816 1.0000000 ns -7.8691013 1.644854 NA
#> resample_74 0.05 0.9999821 1.0000000 ns -7.9393435 1.644854 NA
#> resample_75 0.05 0.9999822 1.0000000 ns -7.9563446 1.644854 NA
#> resample_76 0.05 0.9999823 1.0000000 ns -7.9716692 1.644854 NA
#> resample_77 0.05 0.9999825 1.0000000 ns -8.0001292 1.644854 NA
#> resample_78 0.05 0.9999828 1.0000000 ns -8.0391486 1.644854 NA
#> resample_79 0.05 0.9999825 1.0000000 ns -8.0053672 1.644854 NA
#> resample_80 0.05 0.9999827 1.0000000 ns -8.0226505 1.644854 NA
#> resample_81 0.05 0.9999828 1.0000000 ns -8.0496733 1.644854 NA
#> resample_82 0.05 0.9999831 1.0000000 ns -8.0877693 1.644854 NA
#> resample_83 0.05 0.9999832 1.0000000 ns -8.1005210 1.644854 NA
#> resample_84 0.05 0.9999833 1.0000000 ns -8.1165770 1.644854 NA
#> resample_85 0.05 0.9999835 1.0000000 ns -8.1492980 1.644854 NA
#> resample_86 0.05 0.9999836 1.0000000 ns -8.1691917 1.644854 NA
#> resample_87 0.05 0.9999838 1.0000000 ns -8.2095511 1.644854 NA
#> resample_88 0.05 0.9999840 1.0000000 ns -8.2389921 1.644854 NA
#> resample_89 0.05 0.9999841 1.0000000 ns -8.2481872 1.644854 NA
#> resample_90 0.05 0.9999846 1.0000000 ns -8.3324387 1.644854 NA
#> resample_91 0.05 0.9999847 1.0000000 ns -8.3559406 1.644854 NA
#> resample_92 0.05 0.9999851 1.0000000 ns -8.4141762 1.644854 NA
#> resample_93 0.05 0.9999851 1.0000000 ns -8.4225844 1.644854 NA
#> resample_94 0.05 0.9999846 1.0000000 ns -8.3402170 1.644854 NA
#> resample_95 0.05 0.9999846 1.0000000 ns -8.3338248 1.644854 NA
#> resample_96 0.05 0.9999846 1.0000000 ns -8.3332941 1.644854 NA
#> resample_97 0.05 0.9999849 1.0000000 ns -8.3857780 1.644854 NA
#> resample_98 0.05 0.9999853 1.0000000 ns -8.4553143 1.644854 NA
#> resample_99 0.05 0.9999855 1.0000000 ns -8.4966344 1.644854 NA
#> resample_100 0.05 0.9999855 1.0000000 ns -8.4983918 1.644854 NA
#> resample_101 0.05 0.9999855 1.0000000 ns -8.4972068 1.644854 NA
#> resample_102 0.05 0.9999853 1.0000000 ns -8.4617700 1.644854 NA
#> resample_103 0.05 0.9999851 1.0000000 ns -8.4216095 1.644854 NA
#> resample_104 0.05 0.9999847 1.0000000 ns -8.3470886 1.644854 NA
#> resample_105 0.05 0.9999843 1.0000000 ns -8.2805864 1.644854 NA
#> resample_106 0.05 0.9999843 1.0000000 ns -8.2794450 1.644854 NA
#> resample_107 0.05 0.9999844 1.0000000 ns -8.3060173 1.644854 NA
#> resample_108 0.05 0.9999845 1.0000000 ns -8.3101066 1.644854 NA
#> resample_109 0.05 0.9999846 1.0000000 ns -8.3384467 1.644854 NA
#> resample_110 0.05 0.9999846 1.0000000 ns -8.3277619 1.644854 NA
#> resample_111 0.05 0.9999847 1.0000000 ns -8.3517342 1.644854 NA
#> resample_112 0.05 0.9999847 1.0000000 ns -8.3472721 1.644854 NA
#> resample_113 0.05 0.9999845 1.0000000 ns -8.3201878 1.644854 NA
#> resample_114 0.05 0.9999838 1.0000000 ns -8.2092673 1.644854 NA
#> resample_115 0.05 0.9999840 1.0000000 ns -8.2342120 1.644854 NA
#> resample_116 0.05 0.9999845 1.0000000 ns -8.3099430 1.644854 NA
#> resample_117 0.05 0.9999846 1.0000000 ns -8.3275879 1.644854 NA
#> resample_118 0.05 0.9999848 1.0000000 ns -8.3693740 1.644854 NA
#> resample_119 0.05 0.9999847 1.0000000 ns -8.3557733 1.644854 NA
#> resample_120 0.05 0.9999845 1.0000000 ns -8.3151574 1.644854 NA
#> resample_121 0.05 0.9999846 1.0000000 ns -8.3345925 1.644854 NA
#> resample_122 0.05 0.9999847 1.0000000 ns -8.3529692 1.644854 NA
#> resample_123 0.05 0.9999847 1.0000000 ns -8.3457614 1.644854 NA
#> resample_124 0.05 0.9999847 1.0000000 ns -8.3455482 1.644854 NA
#> resample_125 0.05 0.9999847 1.0000000 ns -8.3454977 1.644854 NA
#> resample_126 0.05 0.9999848 1.0000000 ns -8.3763590 1.644854 NA
#> resample_127 0.05 0.9999850 1.0000000 ns -8.4037416 1.644854 NA
#> resample_128 0.05 0.9999851 1.0000000 ns -8.4153526 1.644854 NA
#> resample_129 0.05 0.9999848 1.0000000 ns -8.3642075 1.644854 NA
#> resample_130 0.05 0.9999845 1.0000000 ns -8.3098456 1.644854 NA
#> resample_131 0.05 0.9999846 1.0000000 ns -8.3303137 1.644854 NA
#> resample_132 0.05 0.9999846 1.0000000 ns -8.3278435 1.644854 NA
#> resample_133 0.05 0.9999845 1.0000000 ns -8.3113479 1.644854 NA
#> resample_134 0.05 0.9999844 1.0000000 ns -8.3005945 1.644854 NA
#> resample_135 0.05 0.9999843 1.0000000 ns -8.2789623 1.644854 NA
#> resample_136 0.05 0.9999843 1.0000000 ns -8.2839168 1.644854 NA
#> resample_137 0.05 0.9999844 1.0000000 ns -8.2937193 1.644854 NA
#> resample_138 0.05 0.9999844 1.0000000 ns -8.2955391 1.644854 NA
#> resample_139 0.05 0.9999842 1.0000000 ns -8.2641987 1.644854 NA
#> resample_140 0.05 0.9999841 1.0000000 ns -8.2551428 1.644854 NA
#> resample_141 0.05 0.9999840 1.0000000 ns -8.2313158 1.644854 NA
#> resample_142 0.05 0.9999839 1.0000000 ns -8.2122153 1.644854 NA
#> resample_143 0.05 0.9999834 1.0000000 ns -8.1358092 1.644854 NA
#> resample_144 0.05 0.9999831 1.0000000 ns -8.0837052 1.644854 NA
#> resample_145 0.05 0.9999831 1.0000000 ns -8.0947647 1.644854 NA
#> resample_146 0.05 0.9999832 1.0000000 ns -8.0990776 1.644854 NA
#> resample_147 0.05 0.9999836 1.0000000 ns -8.1720120 1.644854 NA
#> resample_148 0.05 0.9999834 1.0000000 ns -8.1408043 1.644854 NA
#> resample_149 0.05 0.9999831 1.0000000 ns -8.0953938 1.644854 NA
#> resample_150 0.05 0.9999831 1.0000000 ns -8.0875826 1.644854 NA
#> resample_151 0.05 0.9999829 1.0000000 ns -8.0563276 1.644854 NA
#> resample_152 0.05 0.9999827 1.0000000 ns -8.0286363 1.644854 NA
#> resample_153 0.05 0.9999824 1.0000000 ns -7.9887278 1.644854 NA
#> resample_154 0.05 0.9999824 1.0000000 ns -7.9850526 1.644854 NA
#> resample_155 0.05 0.9999823 1.0000000 ns -7.9728488 1.644854 NA
#> resample_156 0.05 0.9999823 1.0000000 ns -7.9648065 1.644854 NA
#> resample_157 0.05 0.9999819 1.0000000 ns -7.9052359 1.644854 NA
#> resample_158 0.05 0.9999815 1.0000000 ns -7.8521495 1.644854 NA
#> resample_159 0.05 0.9999814 1.0000000 ns -7.8328921 1.644854 NA
#> resample_160 0.05 0.9999811 1.0000000 ns -7.7973867 1.644854 NA
#> resample_161 0.05 0.9999808 1.0000000 ns -7.7501132 1.644854 NA
#> resample_162 0.05 0.9999804 1.0000000 ns -7.7061357 1.644854 NA
#> resample_163 0.05 0.9999800 1.0000000 ns -7.6556769 1.644854 NA
#> resample_164 0.05 0.9999797 1.0000000 ns -7.6089491 1.644854 NA
#> resample_165 0.05 0.9999794 1.0000000 ns -7.5706639 1.644854 NA
#> resample_166 0.05 0.9999793 1.0000000 ns -7.5563342 1.644854 NA
#> resample_167 0.05 0.9999790 1.0000000 ns -7.5162200 1.644854 NA
#> resample_168 0.05 0.9999786 1.0000000 ns -7.4776395 1.644854 NA
#> resample_169 0.05 0.9999786 1.0000000 ns -7.4702287 1.644854 NA
#> resample_170 0.05 0.9999782 1.0000000 ns -7.4174047 1.644854 NA
#> resample_171 0.05 0.9999776 1.0000000 ns -7.3570829 1.644854 NA
#> resample_172 0.05 0.9999774 1.0000000 ns -7.3300593 1.644854 NA
#> resample_173 0.05 0.9999770 1.0000000 ns -7.2822466 1.644854 NA
#> resample_174 0.05 0.9999767 1.0000000 ns -7.2432225 1.644854 NA
#> resample_175 0.05 0.9999763 1.0000000 ns -7.2018817 1.644854 NA
#> resample_176 0.05 0.9999759 1.0000000 ns -7.1583431 1.644854 NA
#> resample_177 0.05 0.9999755 1.0000000 ns -7.1205014 1.644854 NA
#> resample_178 0.05 0.9999748 1.0000000 ns -7.0427410 1.644854 NA
#> resample_179 0.05 0.9999743 1.0000000 ns -6.9865326 1.644854 NA
#> resample_180 0.05 0.9999728 1.0000000 ns -6.8464800 1.644854 NA
#> resample_181 0.05 0.9999721 1.0000000 ns -6.7795725 1.644854 NA
#> resample_182 0.05 0.9999717 1.0000000 ns -6.7370112 1.644854 NA
#> resample_183 0.05 0.9999710 1.0000000 ns -6.6754388 1.644854 NA
#> resample_184 0.05 0.9999703 1.0000000 ns -6.6151156 1.644854 NA
#> resample_185 0.05 0.9999675 1.0000000 ns -6.3725585 1.644854 NA
#> resample_186 0.05 0.9999659 1.0000000 ns -6.2518340 1.644854 NA
#> resample_187 0.05 0.9999654 1.0000000 ns -6.2080635 1.644854 NA
#> resample_188 0.05 0.9999650 1.0000000 ns -6.1827574 1.644854 NA
#> resample_189 0.05 0.9999642 1.0000000 ns -6.1179897 1.644854 NA
#> resample_190 0.05 0.9999637 1.0000000 ns -6.0822015 1.644854 NA
#> resample_191 0.05 0.9999630 1.0000000 ns -6.0368095 1.644854 NA
#> resample_192 0.05 0.9999624 1.0000000 ns -5.9962754 1.644854 NA
#> resample_193 0.05 0.9999534 1.0000000 ns -5.4291079 1.644854 NA
#> resample_194 0.05 0.9999499 0.9999999 ns -5.2390185 1.644854 NA
#> resample_195 0.05 0.9999455 0.9999997 ns -5.0210135 1.644854 NA
#> resample_196 0.05 0.9999401 0.9999991 ns -4.7704244 1.644854 NA
#> resample_197 0.05 0.9999296 0.9999931 ns -4.3477811 1.644854 NA
#> resample_198 0.05 0.9999273 0.9999899 ns -4.2636530 1.644854 NA
#> resample_199 0.05 0.9999010 0.9997211 ns -3.4513365 1.644854 NA
#> resample_200 0.05 0.9998529 0.9921155 ns -2.4142191 1.644854 NA
#> CI_lower CI_upper N AVG MED MIN
#> resample_1 NA NA 5000 -1.199237e-03 -0.001746917 -5.339639
#> resample_2 NA NA 5000 -1.180961e-03 -0.001743506 -5.287884
#> resample_3 NA NA 5000 -1.056454e-03 -0.001740522 -4.702157
#> resample_4 NA NA 5000 -1.030421e-03 -0.001739585 -4.608625
#> resample_5 NA NA 5000 -1.019583e-03 -0.001737876 -4.589538
#> resample_6 NA NA 5000 -1.002567e-03 -0.001735504 -4.541207
#> resample_7 NA NA 5000 -9.855318e-04 -0.001730487 -4.491477
#> resample_8 NA NA 5000 -9.645432e-04 -0.001728383 -4.425886
#> resample_9 NA NA 5000 -9.561510e-04 -0.001725680 -4.418752
#> resample_10 NA NA 5000 -9.347160e-04 -0.001724486 -4.345208
#> resample_11 NA NA 5000 -9.239521e-04 -0.001718344 -4.328513
#> resample_12 NA NA 5000 -9.132693e-04 -0.001716193 -4.309326
#> resample_13 NA NA 5000 -9.004575e-04 -0.001715437 -4.283795
#> resample_14 NA NA 5000 -8.915510e-04 -0.001712890 -4.282030
#> resample_15 NA NA 5000 -8.839186e-04 -0.001712518 -4.280437
#> resample_16 NA NA 5000 -8.751149e-04 -0.001710912 -4.273743
#> resample_17 NA NA 5000 -8.563293e-04 -0.001704195 -4.220920
#> resample_18 NA NA 5000 -8.477086e-04 -0.001703191 -4.210686
#> resample_19 NA NA 5000 -8.406293e-04 -0.001701940 -4.210024
#> resample_20 NA NA 5000 -8.267468e-04 -0.001700468 -4.176450
#> resample_21 NA NA 5000 -8.181922e-04 -0.001698916 -4.167878
#> resample_22 NA NA 5000 -8.078075e-04 -0.001698274 -4.150007
#> resample_23 NA NA 5000 -7.999705e-04 -0.001697654 -4.147907
#> resample_24 NA NA 5000 -7.877442e-04 -0.001694535 -4.124231
#> resample_25 NA NA 5000 -7.771480e-04 -0.001693288 -4.108253
#> resample_26 NA NA 5000 -7.654943e-04 -0.001693122 -4.083190
#> resample_27 NA NA 5000 -7.576177e-04 -0.001688223 -4.079785
#> resample_28 NA NA 5000 -7.499488e-04 -0.001688034 -4.077277
#> resample_29 NA NA 5000 -7.422995e-04 -0.001687487 -4.073478
#> resample_30 NA NA 5000 -7.344522e-04 -0.001685377 -4.068973
#> resample_31 NA NA 5000 -7.266481e-04 -0.001684423 -4.066269
#> resample_32 NA NA 5000 -7.189072e-04 -0.001680015 -4.062316
#> resample_33 NA NA 5000 -7.104020e-04 -0.001676304 -4.056479
#> resample_34 NA NA 5000 -6.997371e-04 -0.001674515 -4.039766
#> resample_35 NA NA 5000 -6.913557e-04 -0.001673473 -4.037651
#> resample_36 NA NA 5000 -6.839905e-04 -0.001670031 -4.035776
#> resample_37 NA NA 5000 -6.756460e-04 -0.001668594 -4.032000
#> resample_38 NA NA 5000 -6.676994e-04 -0.001663825 -4.028427
#> resample_39 NA NA 5000 -6.596716e-04 -0.001660392 -4.023787
#> resample_40 NA NA 5000 -6.483806e-04 -0.001650246 -4.004583
#> resample_41 NA NA 5000 -6.410268e-04 -0.001648426 -4.001214
#> resample_42 NA NA 5000 -6.328242e-04 -0.001644579 -3.997698
#> resample_43 NA NA 5000 -6.239892e-04 -0.001642286 -3.990283
#> resample_44 NA NA 5000 -6.155911e-04 -0.001640811 -3.989083
#> resample_45 NA NA 5000 -6.042670e-04 -0.001635816 -3.968141
#> resample_46 NA NA 5000 -5.939283e-04 -0.001634608 -3.955319
#> resample_47 NA NA 5000 -5.858651e-04 -0.001634038 -3.955113
#> resample_48 NA NA 5000 -5.752067e-04 -0.001630752 -3.939586
#> resample_49 NA NA 5000 -5.669758e-04 -0.001627185 -3.933637
#> resample_50 NA NA 5000 -5.590247e-04 -0.001625811 -3.929024
#> resample_51 NA NA 5000 -5.516765e-04 -0.001623479 -3.927118
#> resample_52 NA NA 5000 -5.444372e-04 -0.001622063 -3.927117
#> resample_53 NA NA 5000 -5.352975e-04 -0.001620875 -3.920254
#> resample_54 NA NA 5000 -5.277747e-04 -0.001620427 -3.920009
#> resample_55 NA NA 5000 -5.200596e-04 -0.001617866 -3.917952
#> resample_56 NA NA 5000 -5.124123e-04 -0.001617381 -3.916937
#> resample_57 NA NA 5000 -5.013250e-04 -0.001610533 -3.899840
#> resample_58 NA NA 5000 -4.906629e-04 -0.001608846 -3.881852
#> resample_59 NA NA 5000 -4.828011e-04 -0.001607131 -3.874809
#> resample_60 NA NA 5000 -4.746710e-04 -0.001605020 -3.871397
#> resample_61 NA NA 5000 -4.667408e-04 -0.001601585 -3.865413
#> resample_62 NA NA 5000 -4.584714e-04 -0.001599551 -3.865099
#> resample_63 NA NA 5000 -4.508642e-04 -0.001596200 -3.862207
#> resample_64 NA NA 5000 -4.430355e-04 -0.001591517 -3.857484
#> resample_65 NA NA 5000 -4.335518e-04 -0.001590370 -3.854791
#> resample_66 NA NA 5000 -4.251394e-04 -0.001585100 -3.852338
#> resample_67 NA NA 5000 -4.171085e-04 -0.001580646 -3.849123
#> resample_68 NA NA 5000 -4.092775e-04 -0.001578021 -3.847579
#> resample_69 NA NA 5000 -4.013639e-04 -0.001574843 -3.845277
#> resample_70 NA NA 5000 -3.940111e-04 -0.001574484 -3.844185
#> resample_71 NA NA 5000 -3.851901e-04 -0.001572993 -3.841991
#> resample_72 NA NA 5000 -3.766421e-04 -0.001567502 -3.835498
#> resample_73 NA NA 5000 -3.692018e-04 -0.001564550 -3.835338
#> resample_74 NA NA 5000 -3.600934e-04 -0.001560487 -3.832666
#> resample_75 NA NA 5000 -3.527449e-04 -0.001557283 -3.831857
#> resample_76 NA NA 5000 -3.453733e-04 -0.001557118 -3.830687
#> resample_77 NA NA 5000 -3.378971e-04 -0.001554189 -3.829363
#> resample_78 NA NA 5000 -3.301632e-04 -0.001553668 -3.829153
#> resample_79 NA NA 5000 -3.206373e-04 -0.001552850 -3.815205
#> resample_80 NA NA 5000 -3.136505e-04 -0.001552086 -3.815023
#> resample_81 NA NA 5000 -3.052618e-04 -0.001550587 -3.810992
#> resample_82 NA NA 5000 -2.976946e-04 -0.001548485 -3.809532
#> resample_83 NA NA 5000 -2.906554e-04 -0.001544094 -3.807995
#> resample_84 NA NA 5000 -2.830750e-04 -0.001543072 -3.807751
#> resample_85 NA NA 5000 -2.757157e-04 -0.001541031 -3.807136
#> resample_86 NA NA 5000 -2.682180e-04 -0.001535346 -3.806807
#> resample_87 NA NA 5000 -2.600063e-04 -0.001533630 -3.802386
#> resample_88 NA NA 5000 -2.524995e-04 -0.001532205 -3.802348
#> resample_89 NA NA 5000 -2.454468e-04 -0.001531020 -3.801098
#> resample_90 NA NA 5000 -2.359349e-04 -0.001530132 -3.799154
#> resample_91 NA NA 5000 -2.277703e-04 -0.001529275 -3.797727
#> resample_92 NA NA 5000 -2.195969e-04 -0.001528476 -3.796379
#> resample_93 NA NA 5000 -2.121541e-04 -0.001525439 -3.794229
#> resample_94 NA NA 5000 -2.017619e-04 -0.001522916 -3.779512
#> resample_95 NA NA 5000 -1.931494e-04 -0.001520232 -3.772302
#> resample_96 NA NA 5000 -1.828645e-04 -0.001514947 -3.764507
#> resample_97 NA NA 5000 -1.746833e-04 -0.001512817 -3.763452
#> resample_98 NA NA 5000 -1.658725e-04 -0.001508281 -3.761226
#> resample_99 NA NA 5000 -1.586918e-04 -0.001501603 -3.761198
#> resample_100 NA NA 5000 -1.515093e-04 -0.001499325 -3.760663
#> resample_101 NA NA 5000 -1.432530e-04 -0.001495488 -3.757176
#> resample_102 NA NA 5000 -1.348507e-04 -0.001492029 -3.750920
#> resample_103 NA NA 5000 -1.263095e-04 -0.001489979 -3.743326
#> resample_104 NA NA 5000 -1.181163e-04 -0.001487774 -3.735419
#> resample_105 NA NA 5000 -1.087384e-04 -0.001485401 -3.727975
#> resample_106 NA NA 5000 -1.016559e-04 -0.001482331 -3.727017
#> resample_107 NA NA 5000 -9.312192e-05 -0.001480667 -3.725370
#> resample_108 NA NA 5000 -8.600641e-05 -0.001477653 -3.725050
#> resample_109 NA NA 5000 -7.844322e-05 -0.001476636 -3.724896
#> resample_110 NA NA 5000 -7.097830e-05 -0.001473341 -3.723011
#> resample_111 NA NA 5000 -6.297463e-05 -0.001472063 -3.721701
#> resample_112 NA NA 5000 -5.514671e-05 -0.001468972 -3.720658
#> resample_113 NA NA 5000 -4.855959e-05 -0.001465304 -3.718167
#> resample_114 NA NA 5000 -3.905504e-05 -0.001464507 -3.707864
#> resample_115 NA NA 5000 -3.061712e-05 -0.001463374 -3.707690
#> resample_116 NA NA 5000 -2.216121e-05 -0.001460367 -3.707623
#> resample_117 NA NA 5000 -1.237600e-05 -0.001458646 -3.701323
#> resample_118 NA NA 5000 -4.475145e-06 -0.001456935 -3.700625
#> resample_119 NA NA 5000 2.975758e-06 -0.001453581 -3.698825
#> resample_120 NA NA 5000 1.170919e-05 -0.001452069 -3.694647
#> resample_121 NA NA 5000 1.906762e-05 -0.001450732 -3.693574
#> resample_122 NA NA 5000 2.656595e-05 -0.001446487 -3.692502
#> resample_123 NA NA 5000 3.539473e-05 -0.001445870 -3.689411
#> resample_124 NA NA 5000 4.274467e-05 -0.001442429 -3.688343
#> resample_125 NA NA 5000 4.979478e-05 -0.001442095 -3.687853
#> resample_126 NA NA 5000 5.879262e-05 -0.001437804 -3.687809
#> resample_127 NA NA 5000 6.650925e-05 -0.001435442 -3.687274
#> resample_128 NA NA 5000 7.527570e-05 -0.001433941 -3.684233
#> resample_129 NA NA 5000 8.311769e-05 -0.001429819 -3.680632
#> resample_130 NA NA 5000 9.160267e-05 -0.001428407 -3.675784
#> resample_131 NA NA 5000 1.006054e-04 -0.001426085 -3.674472
#> resample_132 NA NA 5000 1.074369e-04 -0.001425687 -3.674144
#> resample_133 NA NA 5000 1.153491e-04 -0.001424151 -3.671407
#> resample_134 NA NA 5000 1.232557e-04 -0.001421322 -3.669956
#> resample_135 NA NA 5000 1.316349e-04 -0.001419725 -3.666922
#> resample_136 NA NA 5000 1.390481e-04 -0.001418910 -3.666314
#> resample_137 NA NA 5000 1.466036e-04 -0.001414369 -3.665150
#> resample_138 NA NA 5000 1.544035e-04 -0.001409314 -3.663860
#> resample_139 NA NA 5000 1.620198e-04 -0.001407840 -3.662064
#> resample_140 NA NA 5000 1.714493e-04 -0.001405144 -3.657497
#> resample_141 NA NA 5000 1.805906e-04 -0.001403780 -3.654982
#> resample_142 NA NA 5000 1.888562e-04 -0.001401650 -3.652887
#> resample_143 NA NA 5000 1.972790e-04 -0.001398937 -3.647896
#> resample_144 NA NA 5000 2.059557e-04 -0.001397459 -3.643731
#> resample_145 NA NA 5000 2.135996e-04 -0.001396906 -3.643651
#> resample_146 NA NA 5000 2.222961e-04 -0.001395503 -3.642542
#> resample_147 NA NA 5000 2.338695e-04 -0.001391910 -3.642248
#> resample_148 NA NA 5000 2.423883e-04 -0.001390404 -3.640131
#> resample_149 NA NA 5000 2.501378e-04 -0.001389128 -3.637483
#> resample_150 NA NA 5000 2.576830e-04 -0.001387000 -3.637109
#> resample_151 NA NA 5000 2.673098e-04 -0.001386395 -3.633214
#> resample_152 NA NA 5000 2.748463e-04 -0.001384911 -3.631911
#> resample_153 NA NA 5000 2.856533e-04 -0.001381920 -3.628634
#> resample_154 NA NA 5000 2.943068e-04 -0.001381289 -3.628351
#> resample_155 NA NA 5000 3.038233e-04 -0.001377866 -3.627833
#> resample_156 NA NA 5000 3.120808e-04 -0.001376715 -3.627789
#> resample_157 NA NA 5000 3.212119e-04 -0.001375034 -3.624512
#> resample_158 NA NA 5000 3.290445e-04 -0.001374564 -3.621615
#> resample_159 NA NA 5000 3.371698e-04 -0.001372543 -3.621226
#> resample_160 NA NA 5000 3.460314e-04 -0.001370680 -3.620233
#> resample_161 NA NA 5000 3.545430e-04 -0.001367288 -3.618350
#> resample_162 NA NA 5000 3.626477e-04 -0.001365743 -3.616621
#> resample_163 NA NA 5000 3.719128e-04 -0.001363444 -3.614819
#> resample_164 NA NA 5000 3.799707e-04 -0.001362706 -3.612490
#> resample_165 NA NA 5000 3.894725e-04 -0.001360507 -3.612296
#> resample_166 NA NA 5000 3.963881e-04 -0.001355583 -3.612086
#> resample_167 NA NA 5000 4.037936e-04 -0.001351761 -3.609975
#> resample_168 NA NA 5000 4.120486e-04 -0.001350262 -3.608712
#> resample_169 NA NA 5000 4.184699e-04 -0.001346873 -3.608660
#> resample_170 NA NA 5000 4.287793e-04 -0.001345719 -3.608249
#> resample_171 NA NA 5000 4.374670e-04 -0.001344683 -3.605063
#> resample_172 NA NA 5000 4.448791e-04 -0.001344246 -3.603769
#> resample_173 NA NA 5000 4.544997e-04 -0.001339979 -3.603745
#> resample_174 NA NA 5000 4.631786e-04 -0.001335687 -3.603540
#> resample_175 NA NA 5000 4.710573e-04 -0.001331332 -3.602696
#> resample_176 NA NA 5000 4.795142e-04 -0.001327076 -3.600904
#> resample_177 NA NA 5000 4.872901e-04 -0.001324926 -3.598943
#> resample_178 NA NA 5000 4.966804e-04 -0.001324120 -3.596994
#> resample_179 NA NA 5000 5.059085e-04 -0.001323569 -3.596608
#> resample_180 NA NA 5000 5.174176e-04 -0.001318850 -3.592841
#> resample_181 NA NA 5000 5.257188e-04 -0.001317074 -3.590578
#> resample_182 NA NA 5000 5.338898e-04 -0.001313950 -3.589893
#> resample_183 NA NA 5000 5.427430e-04 -0.001309357 -3.588360
#> resample_184 NA NA 5000 5.513832e-04 -0.001306051 -3.586814
#> resample_185 NA NA 5000 5.659569e-04 -0.001305495 -3.586183
#> resample_186 NA NA 5000 5.762235e-04 -0.001300308 -3.584759
#> resample_187 NA NA 5000 5.840682e-04 -0.001298727 -3.581442
#> resample_188 NA NA 5000 5.916703e-04 -0.001298392 -3.581041
#> resample_189 NA NA 5000 6.004476e-04 -0.001296476 -3.580128
#> resample_190 NA NA 5000 6.082401e-04 -0.001292676 -3.579091
#> resample_191 NA NA 5000 6.159831e-04 -0.001291121 -3.575704
#> resample_192 NA NA 5000 6.243354e-04 -0.001289051 -3.573042
#> resample_193 NA NA 5000 6.475745e-04 -0.001282788 -3.572062
#> resample_194 NA NA 5000 6.598677e-04 -0.001280618 -3.570103
#> resample_195 NA NA 5000 6.730160e-04 -0.001276494 -3.567820
#> resample_196 NA NA 5000 6.871539e-04 -0.001275460 -3.566900
#> resample_197 NA NA 5000 7.067193e-04 -0.001273583 -3.565921
#> resample_198 NA NA 5000 7.168095e-04 -0.001272958 -3.564643
#> resample_199 NA NA 5000 7.483611e-04 -0.001271878 -3.563582
#> resample_200 NA NA 5000 7.919239e-04 -0.001268941 -3.562775
#> MAX SD
#> resample_1 3.532265 1.0012059
#> resample_2 3.533722 1.0011504
#> resample_3 3.534160 1.0005659
#> resample_4 3.534343 1.0004807
#> resample_5 3.534606 1.0004607
#> resample_6 3.536013 1.0004163
#> resample_7 3.536026 1.0003719
#> resample_8 3.536708 1.0003130
#> resample_9 3.537325 1.0003059
#> resample_10 3.537701 1.0002406
#> resample_11 3.542142 1.0002290
#> resample_12 3.542353 1.0002107
#> resample_13 3.542605 1.0001842
#> resample_14 3.547840 1.0001847
#> resample_15 3.548945 1.0001833
#> resample_16 3.549228 1.0001780
#> resample_17 3.550101 1.0001308
#> resample_18 3.550267 1.0001220
#> resample_19 3.550916 1.0001214
#> resample_20 3.551506 1.0000930
#> resample_21 3.551640 1.0000849
#> resample_22 3.551713 1.0000697
#> resample_23 3.553910 1.0000672
#> resample_24 3.556550 1.0000494
#> resample_25 3.556967 1.0000350
#> resample_26 3.557575 1.0000143
#> resample_27 3.557753 1.0000116
#> resample_28 3.559957 1.0000107
#> resample_29 3.561713 1.0000077
#> resample_30 3.561932 1.0000044
#> resample_31 3.562437 1.0000004
#> resample_32 3.562725 0.9999970
#> resample_33 3.564624 0.9999933
#> resample_34 3.566401 0.9999802
#> resample_35 3.569961 0.9999804
#> resample_36 3.571166 0.9999782
#> resample_37 3.571685 0.9999743
#> resample_38 3.572697 0.9999714
#> resample_39 3.575345 0.9999711
#> resample_40 3.577162 0.9999558
#> resample_41 3.577903 0.9999528
#> resample_42 3.579043 0.9999501
#> resample_43 3.579578 0.9999435
#> resample_44 3.581528 0.9999388
#> resample_45 3.583458 0.9999245
#> resample_46 3.586945 0.9999158
#> resample_47 3.587866 0.9999201
#> resample_48 3.588949 0.9999096
#> resample_49 3.589337 0.9999073
#> resample_50 3.589918 0.9999039
#> resample_51 3.590616 0.9999027
#> resample_52 3.591495 0.9999029
#> resample_53 3.595614 0.9999003
#> resample_54 3.596912 0.9998997
#> resample_55 3.598600 0.9998988
#> resample_56 3.599231 0.9998987
#> resample_57 3.603651 0.9998885
#> resample_58 3.604178 0.9998745
#> resample_59 3.604209 0.9998691
#> resample_60 3.604494 0.9998629
#> resample_61 3.605579 0.9998593
#> resample_62 3.608577 0.9998591
#> resample_63 3.610418 0.9998576
#> resample_64 3.610898 0.9998533
#> resample_65 3.613702 0.9998464
#> resample_66 3.615369 0.9998432
#> resample_67 3.616844 0.9998407
#> resample_68 3.619244 0.9998405
#> resample_69 3.620297 0.9998413
#> resample_70 3.620590 0.9998398
#> resample_71 3.626649 0.9998430
#> resample_72 3.628571 0.9998395
#> resample_73 3.632271 0.9998424
#> resample_74 3.636804 0.9998426
#> resample_75 3.637524 0.9998417
#> resample_76 3.638179 0.9998396
#> resample_77 3.639766 0.9998395
#> resample_78 3.641782 0.9998405
#> resample_79 3.642386 0.9998293
#> resample_80 3.643045 0.9998306
#> resample_81 3.645305 0.9998307
#> resample_82 3.647813 0.9998336
#> resample_83 3.648848 0.9998333
#> resample_84 3.649571 0.9998332
#> resample_85 3.651394 0.9998338
#> resample_86 3.652160 0.9998338
#> resample_87 3.656134 0.9998331
#> resample_88 3.657682 0.9998351
#> resample_89 3.658426 0.9998347
#> resample_90 3.664307 0.9998384
#> resample_91 3.665790 0.9998369
#> resample_92 3.669785 0.9998385
#> resample_93 3.670907 0.9998373
#> resample_94 3.671358 0.9998267
#> resample_95 3.674161 0.9998234
#> resample_96 3.677748 0.9998187
#> resample_97 3.681549 0.9998217
#> resample_98 3.687539 0.9998215
#> resample_99 3.690134 0.9998223
#> resample_100 3.690551 0.9998237
#> resample_101 3.692214 0.9998239
#> resample_102 3.693299 0.9998191
#> resample_103 3.695537 0.9998143
#> resample_104 3.695600 0.9998084
#> resample_105 3.695997 0.9998024
#> resample_106 3.696300 0.9998017
#> resample_107 3.699728 0.9998039
#> resample_108 3.700158 0.9998045
#> resample_109 3.702752 0.9998076
#> resample_110 3.703228 0.9998063
#> resample_111 3.706334 0.9998089
#> resample_112 3.706727 0.9998079
#> resample_113 3.706761 0.9998061
#> resample_114 3.707036 0.9998005
#> resample_115 3.709133 0.9998043
#> resample_116 3.715700 0.9998108
#> resample_117 3.724249 0.9998133
#> resample_118 3.729282 0.9998174
#> resample_119 3.729920 0.9998165
#> resample_120 3.731063 0.9998114
#> resample_121 3.734342 0.9998136
#> resample_122 3.737682 0.9998149
#> resample_123 3.740787 0.9998136
#> resample_124 3.742260 0.9998146
#> resample_125 3.743013 0.9998143
#> resample_126 3.746575 0.9998159
#> resample_127 3.750588 0.9998190
#> resample_128 3.756782 0.9998220
#> resample_129 3.756960 0.9998201
#> resample_130 3.758178 0.9998163
#> resample_131 3.763408 0.9998176
#> resample_132 3.763837 0.9998181
#> resample_133 3.766847 0.9998182
#> resample_134 3.768870 0.9998183
#> resample_135 3.772150 0.9998186
#> resample_136 3.774238 0.9998188
#> resample_137 3.778209 0.9998206
#> resample_138 3.781716 0.9998232
#> resample_139 3.781742 0.9998236
#> resample_140 3.791369 0.9998276
#> resample_141 3.794788 0.9998269
#> resample_142 3.797615 0.9998279
#> resample_143 3.798256 0.9998263
#> resample_144 3.801254 0.9998262
#> resample_145 3.804643 0.9998285
#> resample_146 3.811467 0.9998339
#> resample_147 3.832832 0.9998485
#> resample_148 3.835902 0.9998503
#> resample_149 3.836128 0.9998486
#> resample_150 3.837368 0.9998496
#> resample_151 3.850100 0.9998566
#> resample_152 3.850339 0.9998570
#> resample_153 3.865182 0.9998640
#> resample_154 3.874152 0.9998715
#> resample_155 3.884615 0.9998779
#> resample_156 3.891571 0.9998831
#> resample_157 3.898250 0.9998860
#> resample_158 3.898648 0.9998862
#> resample_159 3.904620 0.9998899
#> resample_160 3.908549 0.9998958
#> resample_161 3.916502 0.9998991
#> resample_162 3.917779 0.9999021
#> resample_163 3.926112 0.9999075
#> resample_164 3.926603 0.9999095
#> resample_165 3.933528 0.9999107
#> resample_166 3.934811 0.9999138
#> resample_167 3.936950 0.9999145
#> resample_168 3.941538 0.9999161
#> resample_169 3.941853 0.9999151
#> resample_170 3.952013 0.9999230
#> resample_171 3.954234 0.9999213
#> resample_172 3.954644 0.9999203
#> resample_173 3.965079 0.9999313
#> resample_174 3.972897 0.9999375
#> resample_175 3.978307 0.9999412
#> resample_176 3.981288 0.9999422
#> resample_177 3.982624 0.9999424
#> resample_178 3.993590 0.9999487
#> resample_179 4.002394 0.9999541
#> resample_180 4.019563 0.9999664
#> resample_181 4.026229 0.9999703
#> resample_182 4.031483 0.9999745
#> resample_183 4.036868 0.9999803
#> resample_184 4.042782 0.9999861
#> resample_185 4.080379 1.0000170
#> resample_186 4.095388 1.0000311
#> resample_187 4.096718 1.0000300
#> resample_188 4.099363 1.0000325
#> resample_189 4.106527 1.0000387
#> resample_190 4.109845 1.0000409
#> resample_191 4.110795 1.0000416
#> resample_192 4.112246 1.0000420
#> resample_193 4.194489 1.0001092
#> resample_194 4.218670 1.0001287
#> resample_195 4.247214 1.0001518
#> resample_196 4.281704 1.0001813
#> resample_197 4.341693 1.0002328
#> resample_198 4.352137 1.0002447
#> resample_199 4.475621 1.0003545
#> resample_200 4.651232 1.0005177