An Application to HB Twofold Normal Model On sampel dataset

library(saeHB.twofold)
data("dataTwofold")

model=NormalTF(y~x1+x2,vardir="vardir",area = "codearea",weight = "w",iter.mcmc = 100000,thin=50,burn.in = 1000,data=dataTwofold)
#> Compiling model graph
#>    Resolving undeclared variables
#>    Allocating nodes
#> Graph information:
#>    Observed stochastic nodes: 90
#>    Unobserved stochastic nodes: 125
#>    Total graph size: 953
#> 
#> Initializing model
#> 
#> Compiling model graph
#>    Resolving undeclared variables
#>    Allocating nodes
#> Graph information:
#>    Observed stochastic nodes: 90
#>    Unobserved stochastic nodes: 125
#>    Total graph size: 953
#> 
#> Initializing model
#> 
#> Compiling model graph
#>    Resolving undeclared variables
#>    Allocating nodes
#> Graph information:
#>    Observed stochastic nodes: 90
#>    Unobserved stochastic nodes: 125
#>    Total graph size: 953
#> 
#> Initializing model
#> Warning in par(opar): argument 1 does not name a graphical parameter

CV=(model$Est_sub$SD)/(model$Est_sub$Mean)*100
MSE=model$Est_sub$SD^2
summary(cbind(CV,MSE))
#>        CV              MSE         
#>  Min.   : 3.182   Min.   : 0.2229  
#>  1st Qu.: 6.484   1st Qu.: 0.7021  
#>  Median :11.574   Median : 1.7351  
#>  Mean   :13.724   Mean   : 2.3785  
#>  3rd Qu.:17.448   3rd Qu.: 3.4028  
#>  Max.   :51.775   Max.   :10.6839

CV2=(model$Est_area$SD)/(model$Est_area$Mean)*100
MSE2=model$Est_area$SD^2
summary(cbind(CV2,MSE2))
#>       CV2              MSE2       
#>  Min.   : 3.745   Min.   :0.1559  
#>  1st Qu.: 5.211   1st Qu.:0.4428  
#>  Median : 7.608   Median :0.6636  
#>  Mean   : 8.587   Mean   :1.0047  
#>  3rd Qu.:11.668   3rd Qu.:1.2736  
#>  Max.   :19.353   Max.   :3.3686

dirCV=sqrt(dataTwofold$vardir)/(dataTwofold$y)*100
summary(cbind(dirCV,CV))
#>      dirCV               CV        
#>  Min.   :  3.187   Min.   : 3.182  
#>  1st Qu.:  6.642   1st Qu.: 6.484  
#>  Median : 12.764   Median :11.574  
#>  Mean   : 25.141   Mean   :13.724  
#>  3rd Qu.: 21.041   3rd Qu.:17.448  
#>  Max.   :680.378   Max.   :51.775

boxplot(cbind(dirCV,CV),ylim=c(0,50))

model$refVar
#>   var_area  var_sub
#> 1 7.831591 8.808907

model$plot
#> [[1]]
#> NULL
#> 
#> [[2]]
#> [[2]]$mar
#> [1] 5.1 4.1 4.1 2.1
#> 
#> 
#> [[3]]
#> [[1]]
#> Markov Chain Monte Carlo (MCMC) output:
#> Start = 1050 
#> End = 1e+05 
#> Thinning interval = 50 
#>               beta[0]       beta[1]   beta[2]
#>    [1,] -0.9372642583  0.9717260234 1.2514474
#>    [2,] -0.3410258795 -0.3818753985 1.1586529
#>    [3,] -1.4112719335 -0.2975946149 1.2919728
#>    [4,]  0.2387503349  0.8843277153 1.2195055
#>    [5,] -0.0458679227  0.2634689256 1.2937340
#>    [6,] -0.5698566389  0.8224762431 1.1426902
#>    [7,] -1.3085149119  1.0150725652 1.2063514
#>    [8,] -0.2928938869  0.6939108392 1.2372728
#>    [9,] -0.4691027209  0.6020398735 1.1501193
#>   [10,] -0.2383006761  0.4879445069 1.2843520
#>   [11,] -0.2891816859  0.1703487625 1.0988330
#>   [12,] -0.1354118784 -0.1330809078 1.1991624
#>   [13,]  0.0681629830 -0.2559667393 1.2254308
#>   [14,] -0.9743466101  0.8572567296 1.1985152
#>   [15,] -0.7081087832  1.4339785433 1.2792217
#>   [16,]  0.0889903456  1.1856091631 1.1716364
#>   [17,]  1.0114027616 -0.5295072861 1.2216788
#>   [18,] -0.2735885758 -0.1444409046 1.3860445
#>   [19,] -1.0673520668  1.8043716579 1.2307860
#>   [20,] -0.1122896114 -0.0904874977 1.2034056
#>   [21,] -0.2786859334 -0.9935876777 1.2204430
#>   [22,] -0.2009105390  0.4995555962 1.2362230
#>   [23,]  0.0633405695  0.0991039528 1.2264049
#>   [24,] -0.3190320976 -0.7121539093 1.2771497
#>   [25,] -0.0722317516  0.9219261614 1.2541801
#>   [26,]  0.3009566027  0.3785662519 1.0375325
#>   [27,] -0.4667839469  1.3499738787 1.2061542
#>   [28,] -0.1323588249  0.2088812428 1.2487746
#>   [29,]  0.8956819741  0.3109847823 1.2026452
#>   [30,] -0.1681267653 -1.0595408057 1.2509650
#>   [31,]  0.2704557302 -0.4307459742 1.1667393
#>   [32,] -0.7344697597  1.0036667030 1.2760452
#>   [33,] -1.5583000948 -0.8290381904 1.3626598
#>   [34,] -0.7608920298  0.1060058535 1.3241606
#>   [35,] -0.5657606152 -0.9356801436 1.2407339
#>   [36,] -0.1453968959  0.2622000591 1.2336061
#>   [37,] -0.3069026620  0.0613484128 1.2389172
#>   [38,]  0.6206978133  0.7379793847 1.1420859
#>   [39,] -0.5883720574  1.3725492771 1.1538373
#>   [40,]  0.0387555595  0.6611449644 1.1846300
#>   [41,] -0.4151289941  0.7790456834 1.2351678
#>   [42,] -0.4811992794 -1.0102045032 1.2110029
#>   [43,] -1.5978398783  1.2445096520 1.2629544
#>   [44,] -0.6541900307  0.7359162293 1.2391877
#>   [45,] -1.3678484147  0.9658187816 1.2479247
#>   [46,] -0.8528267630  0.4209213482 1.2937244
#>   [47,] -1.0700755834  0.0920191455 1.3110694
#>   [48,] -1.7890760880  0.7918385585 1.3083230
#>   [49,] -0.6540297967  0.6448750886 1.3157881
#>   [50,] -0.2068479638  0.6261529622 1.1940221
#>   [51,]  0.5402479756 -0.2822308330 1.1759574
#>   [52,]  0.4256745182  0.6693580184 1.2488889
#>   [53,] -0.7556977111 -0.2999113722 1.3121716
#>   [54,] -0.5506648890  0.0223371031 1.2781243
#>   [55,] -0.5589033358 -0.0728360049 1.1616210
#>   [56,] -0.0091542729  0.1171431427 1.1773240
#>   [57,] -0.0479212377 -0.2563271492 1.1993163
#>   [58,] -0.7788129312  1.0057447230 1.2714012
#>   [59,] -1.1997559526  0.9889667080 1.2999783
#>   [60,] -0.7945550513  0.8550693176 1.1888896
#>   [61,] -0.5212557509  0.2275333944 1.2524193
#>   [62,]  0.1885292707  0.0304044261 1.1349360
#>   [63,]  0.3297251411 -0.6349846841 1.1446227
#>   [64,] -0.5907697519 -0.2562017333 1.2393508
#>   [65,] -0.4898119474  0.7674736503 1.2282443
#>   [66,] -0.5347314107  0.4167211364 1.1901243
#>   [67,]  0.0365118143 -1.1148627666 1.2369943
#>   [68,] -0.1670453653  0.7896886340 1.1429163
#>   [69,]  0.5455987258  0.6262659779 1.1129245
#>   [70,] -0.0931962023  0.5135485198 1.1453725
#>   [71,]  0.3764671964  0.5941379981 1.1387275
#>   [72,] -0.1514767636  0.7624688862 1.1250135
#>   [73,]  0.0476540471 -0.4060556688 1.2447011
#>   [74,] -2.4002091099  1.9194499035 1.2917905
#>   [75,] -0.3175832166 -0.0696884925 1.2072261
#>   [76,]  0.1660069654 -0.2159372081 1.1002744
#>   [77,]  0.2745756269 -0.1747633137 1.2536141
#>   [78,] -0.5239784538 -0.4994506673 1.2887453
#>   [79,]  0.2629859453  0.3687961295 1.2019614
#>   [80,]  0.7793464693  0.3880684210 1.0734509
#>   [81,] -0.3920381122  0.1822175671 1.2072627
#>   [82,]  0.0401172345  0.3995572739 1.2380347
#>   [83,]  0.0106858974 -0.6961273697 1.2653424
#>   [84,]  0.4096838366  0.4881102990 1.1841850
#>   [85,] -0.1025096893  1.1492063996 1.1885778
#>   [86,]  0.8161619960  0.0609340679 1.2008941
#>   [87,]  0.5816496234  0.4699399502 1.0866299
#>   [88,]  0.3440805582 -1.9179681882 1.1980946
#>   [89,] -0.8397331802  0.4966007727 1.3686579
#>   [90,]  0.2547777787  0.4600315366 1.1744915
#>   [91,] -0.2107945622 -0.1199939614 1.1612724
#>   [92,] -0.2213909680  0.6025318097 1.1731516
#>   [93,] -1.3614644538  0.8170715248 1.2616527
#>   [94,] -1.0160134796 -0.0451547686 1.3115584
#>   [95,]  0.3979721071 -0.2706296386 1.1395881
#>   [96,] -0.4817586237  0.1135267794 1.2613682
#>   [97,] -0.7315295911  0.3106743340 1.2611256
#>   [98,] -0.7453954124 -0.2972671475 1.2272140
#>   [99,] -0.4654110547  1.0835228578 1.1947858
#>  [100,]  0.2401998396 -1.2796723404 1.1711804
#>  [101,] -0.1948741073  0.0701269449 1.3197879
#>  [102,] -0.6708699555 -0.6777343400 1.2271601
#>  [103,]  0.4021447263  0.5234312032 1.1690166
#>  [104,] -0.2669798106 -1.2759183937 1.2141434
#>  [105,] -1.1835016713  0.9346662418 1.2389192
#>  [106,] -0.2018824399 -0.4286680802 1.2623264
#>  [107,]  0.9265242371 -0.3964999632 1.1903015
#>  [108,]  0.0293325970  0.6976280141 1.1433955
#>  [109,] -0.4764599296  0.4041727552 1.1204557
#>  [110,]  0.1141711473  0.8075630969 1.2514652
#>  [111,]  0.1515431498  0.2729873404 1.1387074
#>  [112,] -0.3282339830 -0.7613281785 1.2842133
#>  [113,] -0.0765423717 -0.2155142022 1.2324674
#>  [114,]  0.1533607597 -0.1690122341 1.1034033
#>  [115,]  0.6253384190  1.4110571470 1.1110997
#>  [116,]  0.3716258730 -0.3907352773 1.1954491
#>  [117,]  0.0888093468 -0.6021890480 1.2448784
#>  [118,]  1.0139204969 -0.4812766726 1.2617609
#>  [119,] -0.1917609023  0.3398015015 1.2486249
#>  [120,] -0.5566515316 -0.6665077029 1.2504413
#>  [121,]  0.3979681410  0.8385324329 1.1769645
#>  [122,]  0.1557510209 -0.0029589112 1.0891044
#>  [123,] -0.5086197188  0.2865455675 1.2807816
#>  [124,]  0.3784070248  0.7792379774 1.0676904
#>  [125,] -0.2033175357 -0.4024549205 1.2995376
#>  [126,]  0.5706420921  0.1032644341 1.1588935
#>  [127,]  0.4989427605  1.1220687378 1.1003672
#>  [128,] -0.4917987080 -0.1130031203 1.2362776
#>  [129,] -1.0604289063 -0.1699152062 1.3623634
#>  [130,] -1.6012158368  1.5700021399 1.2414364
#>  [131,] -0.6780275157  0.3712475288 1.2405819
#>  [132,]  0.5861061449  0.5648009699 1.1109023
#>  [133,] -0.6421955396  0.2769025673 1.2153520
#>  [134,]  0.4285749802  0.5237358788 1.0909118
#>  [135,] -0.1533905311  0.4490087048 1.1387175
#>  [136,] -0.7886010499 -0.2493706182 1.1728448
#>  [137,] -1.7358662824  0.2014260751 1.3708606
#>  [138,]  0.3742758736 -0.6763703631 1.2120999
#>  [139,] -0.2428376151  1.1276480623 1.1381483
#>  [140,] -0.2473293162  0.5448469326 1.2017629
#>  [141,] -0.4200892126  0.9238155848 1.1741623
#>  [142,] -0.6149461738  0.3257121112 1.1861212
#>  [143,] -0.6875745964  0.9514872786 1.2659890
#>  [144,]  0.1365769128  0.1866254558 1.1720932
#>  [145,] -1.0092439617 -0.5929121555 1.2910866
#>  [146,]  1.2073575286  0.2139136179 1.1321497
#>  [147,]  0.3359500944 -0.1241302069 1.2027011
#>  [148,] -0.4414053979  1.5331260465 1.1628108
#>  [149,] -0.7353912852  0.4541075475 1.2534489
#>  [150,] -0.3030169927  0.1520154813 1.2035515
#>  [151,] -0.2189112337  1.3676972055 1.2197853
#>  [152,] -0.6863387766  0.7962058444 1.2135739
#>  [153,] -1.2135457248 -0.1644593831 1.2305959
#>  [154,] -0.9072423174 -0.0004443331 1.1770813
#>  [155,] -0.7748472943  0.4393249713 1.2671400
#>  [156,] -0.3295506445  0.9773489636 1.1274089
#>  [157,] -0.1802313949 -0.3749332726 1.1914521
#>  [158,] -0.5064578562 -0.4341587281 1.2705357
#>  [159,] -1.3360684005  0.6142295085 1.2914416
#>  [160,] -0.2346984864 -1.1423275277 1.3096383
#>  [161,]  0.1357829600 -0.8590098947 1.2491070
#>  [162,]  0.0295596383  0.1676530077 1.1414162
#>  [163,]  0.0422634112  0.3681969711 1.1315687
#>  [164,] -0.5620907506  0.8489506811 1.2652973
#>  [165,] -0.6042062275  0.0257102248 1.3016828
#>  [166,]  0.4465039861  0.4329982289 1.0817438
#>  [167,] -0.5366858064 -0.7111960295 1.3139543
#>  [168,] -1.4699120811 -0.6683255704 1.3203111
#>  [169,] -0.8168614334  0.1529998804 1.1681747
#>  [170,] -1.2842864857 -0.7343768007 1.2350845
#>  [171,] -0.4565958594  1.0799440553 1.1693641
#>  [172,] -1.2990018503  0.6054835491 1.2329728
#>  [173,] -0.3603413980 -0.1019274443 1.2262278
#>  [174,] -0.1563386585 -0.0607742346 1.2648041
#>  [175,] -0.2587007118 -0.9576842366 1.3059898
#>  [176,] -1.0686877590  1.5246515937 1.2453000
#>  [177,] -2.1383359583  0.3405057269 1.3445902
#>  [178,] -0.8364620424  0.8755796653 1.1101761
#>  [179,] -0.8930889081 -0.5129857961 1.2163688
#>  [180,] -0.8019391759 -0.1979361789 1.3495128
#>  [181,] -0.8671842767  1.3091455969 1.3370969
#>  [182,] -0.8671053247  0.4588029627 1.3247106
#>  [183,] -0.0875028186 -0.3027862954 1.1394078
#>  [184,] -0.4054966114  0.5095501847 1.2520480
#>  [185,]  0.5689226305 -0.1091987622 1.1027220
#>  [186,] -0.1953006129  0.4623938985 1.1939670
#>  [187,]  0.1849247347  0.0118107443 1.1425349
#>  [188,] -0.7599383495 -0.3018208857 1.3221857
#>  [189,] -0.8332640789 -0.4354879329 1.3431135
#>  [190,] -0.5869414878  1.8222538675 1.2244486
#>  [191,]  0.0860814570 -0.5496530054 1.1862833
#>  [192,] -1.2419840021  0.1031559718 1.2869747
#>  [193,] -0.9085462452  0.8527342207 1.3161426
#>  [194,] -0.8056832105  0.8916821705 1.3362156
#>  [195,] -0.3869718654 -0.3867643298 1.3524699
#>  [196,] -0.1124608797  1.1750625965 1.1869533
#>  [197,]  0.6502602919  0.2990966568 1.0569859
#>  [198,]  0.7617488683  0.2861481616 1.1092351
#>  [199,]  0.2816781762  0.4821621867 1.0898020
#>  [200,] -0.8546571105 -0.5355851864 1.3149038
#>  [201,] -0.6885019169  0.3170448560 1.2745224
#>  [202,] -1.1122493071  0.0611858333 1.2916014
#>  [203,] -0.3596120836  0.1466518509 1.2502492
#>  [204,]  0.4361148214  0.1266709209 1.1597413
#>  [205,] -0.7998141848  0.5160794880 1.2690599
#>  [206,] -1.1017163141  0.6467011838 1.3924710
#>  [207,] -0.0368644738  0.8005312898 1.1993434
#>  [208,] -0.2808112269 -0.3804881893 1.3290625
#>  [209,] -0.3765309491 -0.6999073839 1.2496178
#>  [210,] -0.3147306616  0.2644290258 1.1616006
#>  [211,] -1.0126155445 -0.6044611480 1.2727306
#>  [212,]  0.8146539830  0.5500509009 1.1300811
#>  [213,] -0.1424779772  0.8533793346 1.1563454
#>  [214,] -0.8677554475 -0.7781271587 1.2887460
#>  [215,] -0.1454566769 -0.1400328251 1.1826130
#>  [216,] -1.0440890444 -0.2548563307 1.2895273
#>  [217,]  1.2406882460 -0.2587893187 1.1204035
#>  [218,] -0.0952980347 -0.1767666771 1.1055443
#>  [219,]  0.7594243784 -0.3307638906 1.1202439
#>  [220,]  0.0366537742 -0.7797752890 1.1917506
#>  [221,] -0.5154615372  0.2241051709 1.2326775
#>  [222,]  0.6875535312  0.8383729590 1.1109675
#>  [223,] -0.9507111329 -0.2652190838 1.1781128
#>  [224,] -1.1392725823  0.1248454960 1.2552315
#>  [225,] -0.3963777263  0.8038771096 1.2063572
#>  [226,] -0.2047775228  0.0490170252 1.1815550
#>  [227,]  0.2325100318  0.4074559403 1.1171902
#>  [228,]  0.1573843462 -0.0899462147 1.2131271
#>  [229,]  0.2034778821  0.6099435765 1.2225998
#>  [230,] -0.5881650444 -0.8481278403 1.2633261
#>  [231,] -1.5590981171 -0.2170691571 1.2713679
#>  [232,]  0.0901736942  0.5477989973 1.0859896
#>  [233,] -0.0072257994  0.1177055835 1.1712446
#>  [234,]  0.5611301901  0.6665543549 1.1680762
#>  [235,]  0.5950020329  0.8770822726 1.1239254
#>  [236,] -0.6345990942  0.3622324739 1.1839074
#>  [237,] -0.7396513544 -0.5324066910 1.3061244
#>  [238,] -0.1947917590  0.6328640427 1.2641280
#>  [239,]  1.1560251245  0.7111162136 1.1958199
#>  [240,]  0.4787825332  0.2685124547 1.2039432
#>  [241,] -0.8765223039 -0.5281438560 1.2549907
#>  [242,] -1.2675223238  0.7105619758 1.2399263
#>  [243,] -0.3953196544 -0.7476532329 1.2762798
#>  [244,] -0.0014302167  0.9950322943 1.1661209
#>  [245,] -0.7259336572  0.2639047882 1.1870837
#>  [246,]  0.2496510545 -0.1671393881 1.2169285
#>  [247,] -0.3108153361  1.4520330206 1.1004756
#>  [248,] -0.5553165133  0.2135305506 1.2056216
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#> [1955,] -1.0690892502 -0.2836976148 1.3027856
#> [1956,]  0.4333809343 -0.1166988294 1.2217185
#> [1957,]  0.0806871518  1.1126930701 1.1366165
#> [1958,] -1.4779770696  0.9278630345 1.1501032
#> [1959,] -0.8170300819 -0.8816217260 1.3462187
#> [1960,] -1.0389264782  0.8596951236 1.2281982
#> [1961,] -0.3022998109  0.8446377052 1.2614134
#> [1962,] -0.7085471185  1.0029463239 1.1949209
#> [1963,] -0.5782799358 -1.0308267501 1.1782271
#> [1964,] -1.1291416113  0.8212335535 1.2889766
#> [1965,] -0.2371794318  0.8081086703 1.2452193
#> [1966,] -0.1653008089  0.6673870918 1.2808733
#> [1967,]  0.0144103500  0.5574123633 1.2592402
#> [1968,]  0.9596443802 -0.4154936647 1.1324247
#> [1969,]  0.1807704585  0.3521915306 1.1434837
#> [1970,] -0.3351901901 -0.2844309921 1.2895371
#> [1971,]  0.1562410158  0.8717965093 1.1906124
#> [1972,] -0.2513596539 -0.3839566817 1.2313248
#> [1973,]  0.1207732351  0.4945562006 1.2071872
#> [1974,] -0.6265509358  1.5004815595 1.1290881
#> [1975,] -0.1309875975  0.4212850159 1.2336059
#> [1976,] -0.2225397758 -0.2482855295 1.1784305
#> [1977,] -0.2076820738 -0.6756230652 1.3660066
#> [1978,] -0.9913197074  0.1531304196 1.2334632
#> [1979,] -0.9967790600  1.0331346657 1.1746737
#> [1980,] -0.3601353001  0.3718996950 1.1713478
#> 
#> attr(,"class")
#> [1] "mcmc.list"
#> 
#> [[4]]
#> NULL