RASCH MODEL

GEREKLİ PAKETLER VE VERİ SETİNİN YÜKLENMESİ

library(TAM)
## Zorunlu paket yükleniyor: CDM
## Zorunlu paket yükleniyor: mvtnorm
## **********************************
## ** CDM 8.2-6 (2022-08-25 15:43:23)       
## ** Cognitive Diagnostic Models  **
## **********************************
## * TAM 4.2-21 (2024-02-19 18:52:08)
library(WrightMap)
library(MPsychoR)
library(Gifi)
library(dplyr)
## 
## Attaching package: 'dplyr'
## The following objects are masked from 'package:stats':
## 
##     filter, lag
## The following objects are masked from 'package:base':
## 
##     intersect, setdiff, setequal, union
library(mirt)
## Zorunlu paket yükleniyor: stats4
## Zorunlu paket yükleniyor: lattice
library(ltm)
## Zorunlu paket yükleniyor: MASS
## 
## Attaching package: 'MASS'
## The following object is masked from 'package:dplyr':
## 
##     select
## The following object is masked from 'package:Gifi':
## 
##     mammals
## Zorunlu paket yükleniyor: msm
## Zorunlu paket yükleniyor: polycor
## 
## Attaching package: 'ltm'
## The following object is masked from 'package:mirt':
## 
##     Science
data(LSAT)

YANITLARIN ANALİZİ

LSAT1 <- TAM::tam.jml(LSAT, constraint = "items")
## ....................................................
## Iteration 1     2025-05-09 01:02:24.016825
##  MLE/WLE estimation        |------
##  Item parameter estimation |----------
##   Deviance= 4230.408
##   Maximum MLE/WLE change: 6.02608
##   Maximum item parameter change: 5.632374
## ....................................................
## Iteration 2     2025-05-09 01:02:24.027428
##  MLE/WLE estimation        |-------
##  Item parameter estimation |----------
##   Deviance= 3669.2644 | Deviance change: 561.1436
##   Maximum MLE/WLE change: 4.260752
##   Maximum item parameter change: 0.365911
## ....................................................
## Iteration 3     2025-05-09 01:02:24.036607
##  MLE/WLE estimation        |----
##  Item parameter estimation |----------
##   Deviance= 3582.2701 | Deviance change: 86.9943
##   Maximum MLE/WLE change: 0.541289
##   Maximum item parameter change: 1.008255
## ....................................................
## Iteration 4     2025-05-09 01:02:24.042408
##  MLE/WLE estimation        |-----
##  Item parameter estimation |----------
##   Deviance= 3583.2531 | Deviance change: -0.983
##   Maximum MLE/WLE change: 0.585195
##   Maximum item parameter change: 0.164291
## ....................................................
## Iteration 5     2025-05-09 01:02:24.048139
##  MLE/WLE estimation        |---
##  Item parameter estimation |----------
##   Deviance= 3590.5009 | Deviance change: -7.2478
##   Maximum MLE/WLE change: 0.14337
##   Maximum item parameter change: 0.159986
## ....................................................
## Iteration 6     2025-05-09 01:02:24.057918
##  MLE/WLE estimation        |---
##  Item parameter estimation |---------
##   Deviance= 3597.3018 | Deviance change: -6.8008
##   Maximum MLE/WLE change: 0.072124
##   Maximum item parameter change: 0.026657
## ....................................................
## Iteration 7     2025-05-09 01:02:24.066323
##  MLE/WLE estimation        |---
##  Item parameter estimation |---------
##   Deviance= 3600.3676 | Deviance change: -3.0658
##   Maximum MLE/WLE change: 0.025013
##   Maximum item parameter change: 0.057258
## ....................................................
## Iteration 8     2025-05-09 01:02:24.072943
##  MLE/WLE estimation        |---
##  Item parameter estimation |------
##   Deviance= 3602.9866 | Deviance change: -2.6191
##   Maximum MLE/WLE change: 0.021199
##   Maximum item parameter change: 0.008672
## ....................................................
## Iteration 9     2025-05-09 01:02:24.078013
##  MLE/WLE estimation        |--
##  Item parameter estimation |------
##   Deviance= 3603.8772 | Deviance change: -0.8906
##   Maximum MLE/WLE change: 0.006361
##   Maximum item parameter change: 0.008912
## ....................................................
## Iteration 10     2025-05-09 01:02:24.084971
##  MLE/WLE estimation        |--
##  Item parameter estimation |------
##   Deviance= 3604.3646 | Deviance change: -0.4874
##   Maximum MLE/WLE change: 0.003554
##   Maximum item parameter change: 0.001593
## ....................................................
## Iteration 11     2025-05-09 01:02:24.089948
##  MLE/WLE estimation        |--
##  Item parameter estimation |-----
##   Deviance= 3604.5825 | Deviance change: -0.2179
##   Maximum MLE/WLE change: 0.001378
##   Maximum item parameter change: 0.003083
## ....................................................
## Iteration 12     2025-05-09 01:02:24.094394
##  MLE/WLE estimation        |--
##  Item parameter estimation |---
##   Deviance= 3604.7399 | Deviance change: -0.1574
##   Maximum MLE/WLE change: 0.001126
##   Maximum item parameter change: 0.00054
## ....................................................
## Iteration 13     2025-05-09 01:02:24.098542
##  MLE/WLE estimation        |--
##  Item parameter estimation |---
##   Deviance= 3604.792 | Deviance change: -0.0521
##   Maximum MLE/WLE change: 0.00037
##   Maximum item parameter change: 0.000388
## ....................................................
## Iteration 14     2025-05-09 01:02:24.102369
##  MLE/WLE estimation        |--
##  Item parameter estimation |---
##   Deviance= 3604.8201 | Deviance change: -0.0281
##   Maximum MLE/WLE change: 0.000199
##   Maximum item parameter change: 0.000413
## ....................................................
## Iteration 15     2025-05-09 01:02:24.105668
##  MLE/WLE estimation        |--
##  Item parameter estimation |-
##   Deviance= 3604.8392 | Deviance change: -0.0191
##   Maximum MLE/WLE change: 0.000152
##   Maximum item parameter change: 7.4e-05
## ....................................................
## Iteration 16     2025-05-09 01:02:24.108162
##  MLE/WLE estimation        |-
##  Item parameter estimation |--
##   Deviance= 3604.8491 | Deviance change: -0.0098
##   Maximum MLE/WLE change: 6.3e-05
##   Maximum item parameter change: 0.000101
## ....................................................
## Iteration 17     2025-05-09 01:02:24.110886
##  MLE/WLE estimation        |-
##  Item parameter estimation |-
##   Deviance= 3604.8524 | Deviance change: -0.0033
##   Maximum MLE/WLE change: 2.9e-05
##   Maximum item parameter change: 3.2e-05
## 
##  MLE/WLE estimation        |--------
## ....................................................
## 
## Start:  2025-05-09 01:02:24.009085
## End:  2025-05-09 01:02:24.172 
## Time difference of 0.162915 secs
print.data.frame(LSAT1$item, row.names = FALSE, digits = 3)
##    item    N     M xsi.item AXsi_.Cat1 B.Cat1.Dim1
##  Item 1 1000 0.924   -1.064     -1.064           1
##  Item 2 1000 0.709    0.400      0.400           1
##  Item 3 1000 0.553    1.108      1.108           1
##  Item 4 1000 0.763    0.121      0.121           1
##  Item 5 1000 0.870   -0.565     -0.565           1

XSİ.İTEM: MADDE GÜÇLÜKLERİ axSİ_.cAT1: MADDE GÜÇLÜKLERİNİN TERSİ EN KOLAY MADDE 1. MADDEDİR. EN ZOR MADDE 2. MADDEDİR.

library(WrightMap)
ZORLUK <- LSAT1$item$xsi.item
YETENEK <- LSAT1$theta
wrightMap(thetas = YETENEK, thresholds = ZORLUK, return.thresholds = FALSE,
          show.thr.lab = FALSE, main.title = "Matematik Testi Wright Map: JMLE")

LOGİT DEĞERLERİ -1 İLE +1 ARASINDA DEĞİŞMEKTEDİR. YETENEKLERİN İSE -2 İLE +3 ARASINDA DEĞİŞTİĞİ GÖRÜLMEKTEDİR. BU TESTTE 1 VE ÜZERİNDE YETENEĞE SAHİP BİREYLERİ ÖLÇECEK MADDE BULUNMAMAKTADIR.

jmle.madde.sh <- LSAT1$errorP
round(jmle.madde.sh[1:5], 3)
## [1] 0.076 0.061 0.059 0.063    NA
jmle.birey.sh <- LSAT1$errorWLE
round(jmle.birey.sh[1:1000], 3)
##    [1] 1.416 1.416 1.416 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 0.998
##   [13] 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 1.125 0.998
##   [25] 0.998 0.998 0.998 0.998 0.998 0.998 0.998 1.125 0.998 0.998 0.998 0.998
##   [37] 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998
##   [49] 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998
##   [61] 0.998 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125
##   [73] 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125
##   [85] 1.125 1.125 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998
##   [97] 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998
##  [109] 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998
##  [121] 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998
##  [133] 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998
##  [145] 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998
##  [157] 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998
##  [169] 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998
##  [181] 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998
##  [193] 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998
##  [205] 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998
##  [217] 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998
##  [229] 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998
##  [241] 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998
##  [253] 0.998 0.998 0.998 0.998 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125
##  [265] 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125
##  [277] 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125
##  [289] 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125
##  [301] 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125
##  [313] 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125
##  [325] 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125
##  [337] 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998
##  [349] 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998
##  [361] 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998
##  [373] 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998
##  [385] 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998
##  [397] 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998
##  [409] 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998
##  [421] 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 1.125 1.125 1.125
##  [433] 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125
##  [445] 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125
##  [457] 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125
##  [469] 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125
##  [481] 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125
##  [493] 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125
##  [505] 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125
##  [517] 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125
##  [529] 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125
##  [541] 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125
##  [553] 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125
##  [565] 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125
##  [577] 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125
##  [589] 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125
##  [601] 1.125 1.125 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998 0.998
##  [613] 0.998 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125
##  [625] 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125
##  [637] 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125
##  [649] 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125
##  [661] 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125
##  [673] 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125
##  [685] 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125 1.125
##  [697] 1.125 1.125 1.125 1.125 1.125 1.125 1.418 1.418 1.418 1.418 1.418 1.418
##  [709] 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418
##  [721] 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418
##  [733] 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418
##  [745] 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418
##  [757] 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418
##  [769] 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418
##  [781] 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418
##  [793] 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418
##  [805] 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418
##  [817] 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418
##  [829] 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418
##  [841] 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418
##  [853] 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418
##  [865] 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418
##  [877] 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418
##  [889] 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418
##  [901] 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418
##  [913] 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418
##  [925] 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418
##  [937] 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418
##  [949] 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418
##  [961] 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418
##  [973] 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418
##  [985] 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418 1.418
##  [997] 1.418 1.418 1.418 1.418
  1. MADDENİN NEDEN HESAPLANAMADIĞINI TAM ANLAYAMADIM HOCAM EKSİK VERİ YOK VE 0 1 CEVAP ÖRÜNTÜSÜ MEVCUT. BİREYLERİN HATALARI TESTİN BAŞINDA VE SONUNDAKİ BİREYLER İÇİN YOK YÜKSEK. ASLINDA BU BEKLENİLEN BİR DURUM ÇÜNKÜ TESTİN BAŞINDAKİ BİREYLERİN YETENEKLERİ DÜŞÜK VE TESTİN SONUNDAKİ BİREYLERİN YETENEKLERİ YÜKSEK. BEKLENEN DEĞER VARYANSI BU NOKTALARDA DÜŞÜK OLDUĞU İÇİN HATA VARYANSLARI YÜKSEK OLUYOR. ÖZELLİKLE BU VERİ SETİNDE ÇOK FAZLA BİREYİN HATA DEĞERİNİN YÜKSEK OLMASININ SEBEBİ YETENEK DÜZEYİNE UYGUN MADDELERİN OLMAMASIDA OLABİLİR
jmle.uyum <- TAM::tam.jml.fit(LSAT1)

jmle.madde.uyum <- jmle.uyum$fit.item
print.data.frame(jmle.madde.uyum[1:5,], row.names = FALSE, digits = 3)
##    item outfitItem outfitItem_t infitItem infitItem_t
##  Item 1      0.494        -3.98     0.725       -4.20
##  Item 2      0.710        -4.63     0.893       -2.90
##  Item 3      0.718        -6.12     0.849       -4.89
##  Item 4      0.693        -4.22     0.890       -2.69
##  Item 5      0.610        -3.78     0.829       -3.19
summary(jmle.madde.uyum)
##      item             outfitItem      outfitItem_t      infitItem     
##  Length:5           Min.   :0.4938   Min.   :-6.123   Min.   :0.7253  
##  Class :character   1st Qu.:0.6104   1st Qu.:-4.634   1st Qu.:0.8288  
##  Mode  :character   Median :0.6933   Median :-4.218   Median :0.8491  
##                     Mean   :0.6451   Mean   :-4.548   Mean   :0.8372  
##                     3rd Qu.:0.7095   3rd Qu.:-3.980   3rd Qu.:0.8901  
##                     Max.   :0.7182   Max.   :-3.784   Max.   :0.8927  
##   infitItem_t    
##  Min.   :-4.889  
##  1st Qu.:-4.200  
##  Median :-3.193  
##  Mean   :-3.575  
##  3rd Qu.:-2.901  
##  Max.   :-2.693

Tüm maddelerde:

OUTFIT MNSQ: 0.49 – 0.71 aralığında

INFIT MNSQ: 0.72 – 0.89 aralığında

Yani hiçbir madde kötü uyum göstermiyor. Tüm maddeler aşırı uyumlu (overfit).

Tüm maddelerin hem INFIT_t hem de OUTFIT_t değerleri -2’nin çok altında (örneğin -6.12, -4.89…).

Bu da maddelerin istatistiksel olarak anlamlı şekilde aşırı uyumlu olduğunu gösterir.

Aşırı uyumlu maddeler genellikle ya:

Çok kolay ya da çok zor olabilir.

Veya öğrenciler arası farklılıkları ayırt etmede zayıf kalmış olabilir.

ZATEN ÖĞRENCİLERİN YETENEK DÜZEYLERİNE UYGUN MADDELERİN OLMAMASI DA BİZİM ÖLÇÜM ALANIMIZI DARALTIYORDU. INFIT VE OUTFIT T DEĞERLERİ DE BU BULGULARI DESTEKLİYOR ANCAK 0,5 ALTINDA UYUM DEĞERLERİNİN DE ÇOK İYİ OLMASI “ÇOK FAZLA HATA KAYNAĞI OLMASINA RAĞMEN” BU KADAR İYİ ÇIKTI DİYE DE TEKRAR GÖZDEN GEÇİRİLMELİ DİYEN ARAŞTIRMACILAR VAR.

jmle.birey.uyum <- jmle.uyum$fit.person
print.data.frame(jmle.birey.uyum[1:1000,], row.names = FALSE, digits = 3)
##  outfitPerson outfitPerson_t infitPerson infitPerson_t
##        0.0581        0.00190      0.0838        -0.414
##        0.0581        0.00190      0.0838        -0.414
##        0.0581        0.00190      0.0838        -0.414
##        0.7717        0.08599      1.0285         0.269
##        0.7717        0.08599      1.0285         0.269
##        0.7717        0.08599      1.0285         0.269
##        0.7717        0.08599      1.0285         0.269
##        0.7717        0.08599      1.0285         0.269
##        0.7717        0.08599      1.0285         0.269
##        1.3826        0.67546      1.3346         0.672
##        1.3826        0.67546      1.3346         0.672
##        1.0318        0.21725      1.1136         0.430
##        1.0318        0.21725      1.1136         0.430
##        1.0318        0.21725      1.1136         0.430
##        1.0318        0.21725      1.1136         0.430
##        1.0318        0.21725      1.1136         0.430
##        1.0318        0.21725      1.1136         0.430
##        1.0318        0.21725      1.1136         0.430
##        1.0318        0.21725      1.1136         0.430
##        1.0318        0.21725      1.1136         0.430
##        1.0318        0.21725      1.1136         0.430
##        1.0318        0.21725      1.1136         0.430
##        2.9570        1.63767      1.5805         0.952
##        1.7206        1.51301      1.4617         1.273
##        2.0105        1.95330      1.7780         1.930
##        2.0105        1.95330      1.7780         1.930
##        2.0105        1.95330      1.7780         1.930
##        1.7439        1.55350      1.5274         1.423
##        1.7439        1.55350      1.5274         1.423
##        1.7439        1.55350      1.5274         1.423
##        1.7439        1.55350      1.5274         1.423
##        1.7652        0.95849      1.4244         0.778
##        1.1768        0.52973      1.2287         0.726
##        1.1768        0.52973      1.2287         0.726
##        1.1768        0.52973      1.2287         0.726
##        1.1768        0.52973      1.2287         0.726
##        1.1768        0.52973      1.2287         0.726
##        1.1768        0.52973      1.2287         0.726
##        1.1768        0.52973      1.2287         0.726
##        1.1768        0.52973      1.2287         0.726
##        1.4446        1.04690      1.2006         0.657
##        1.4446        1.04690      1.2006         0.657
##        1.4446        1.04690      1.2006         0.657
##        1.4446        1.04690      1.2006         0.657
##        1.4446        1.04690      1.2006         0.657
##        1.4446        1.04690      1.2006         0.657
##        1.4446        1.04690      1.2006         0.657
##        1.4446        1.04690      1.2006         0.657
##        1.4446        1.04690      1.2006         0.657
##        1.4446        1.04690      1.2006         0.657
##        1.4446        1.04690      1.2006         0.657
##        1.4446        1.04690      1.2006         0.657
##        1.4446        1.04690      1.2006         0.657
##        1.4446        1.04690      1.2006         0.657
##        1.4446        1.04690      1.2006         0.657
##        1.4446        1.04690      1.2006         0.657
##        1.8588        1.73250      1.6577         1.697
##        1.8588        1.73250      1.6577         1.697
##        1.8588        1.73250      1.6577         1.697
##        2.2123        2.24079      1.9430         2.251
##        2.2123        2.24079      1.9430         2.251
##        2.9573        1.64011      1.5758         0.946
##        2.9573        1.64011      1.5758         0.946
##        2.9573        1.64011      1.5758         0.946
##        2.9573        1.64011      1.5758         0.946
##        2.9573        1.64011      1.5758         0.946
##        2.9573        1.64011      1.5758         0.946
##        2.9573        1.64011      1.5758         0.946
##        2.9573        1.64011      1.5758         0.946
##        2.9573        1.64011      1.5758         0.946
##        2.9573        1.64011      1.5758         0.946
##        2.9573        1.64011      1.5758         0.946
##        2.9573        1.64011      1.5758         0.946
##        2.9573        1.64011      1.5758         0.946
##        2.9573        1.64011      1.5758         0.946
##        2.9573        1.64011      1.5758         0.946
##        0.4972       -0.28848      0.7287        -0.213
##        0.4972       -0.28848      0.7287        -0.213
##        0.4972       -0.28848      0.7287        -0.213
##        0.4972       -0.28848      0.7287        -0.213
##        0.4972       -0.28848      0.7287        -0.213
##        0.4972       -0.28848      0.7287        -0.213
##        0.4972       -0.28848      0.7287        -0.213
##        0.4972       -0.28848      0.7287        -0.213
##        0.4972       -0.28848      0.7287        -0.213
##        0.4972       -0.28848      0.7287        -0.213
##        0.5295       -1.17257      0.5677        -1.358
##        0.5295       -1.17257      0.5677        -1.358
##        0.5295       -1.17257      0.5677        -1.358
##        0.5295       -1.17257      0.5677        -1.358
##        0.5295       -1.17257      0.5677        -1.358
##        0.5295       -1.17257      0.5677        -1.358
##        0.5295       -1.17257      0.5677        -1.358
##        0.5295       -1.17257      0.5677        -1.358
##        0.5295       -1.17257      0.5677        -1.358
##        0.5295       -1.17257      0.5677        -1.358
##        0.5295       -1.17257      0.5677        -1.358
##        0.5295       -1.17257      0.5677        -1.358
##        0.5295       -1.17257      0.5677        -1.358
##        0.5295       -1.17257      0.5677        -1.358
##        0.5295       -1.17257      0.5677        -1.358
##        0.5295       -1.17257      0.5677        -1.358
##        0.5295       -1.17257      0.5677        -1.358
##        0.5295       -1.17257      0.5677        -1.358
##        0.5295       -1.17257      0.5677        -1.358
##        0.5295       -1.17257      0.5677        -1.358
##        0.5295       -1.17257      0.5677        -1.358
##        0.5295       -1.17257      0.5677        -1.358
##        0.5295       -1.17257      0.5677        -1.358
##        0.5295       -1.17257      0.5677        -1.358
##        0.5295       -1.17257      0.5677        -1.358
##        0.5295       -1.17257      0.5677        -1.358
##        0.5295       -1.17257      0.5677        -1.358
##        0.5295       -1.17257      0.5677        -1.358
##        0.5295       -1.17257      0.5677        -1.358
##        0.8193       -0.29837      0.8840        -0.229
##        0.8193       -0.29837      0.8840        -0.229
##        0.8193       -0.29837      0.8840        -0.229
##        0.8193       -0.29837      0.8840        -0.229
##        0.8193       -0.29837      0.8840        -0.229
##        0.8193       -0.29837      0.8840        -0.229
##        0.8193       -0.29837      0.8840        -0.229
##        0.8193       -0.29837      0.8840        -0.229
##        0.8193       -0.29837      0.8840        -0.229
##        0.8193       -0.29837      0.8840        -0.229
##        0.8193       -0.29837      0.8840        -0.229
##        0.8193       -0.29837      0.8840        -0.229
##        0.8193       -0.29837      0.8840        -0.229
##        0.8193       -0.29837      0.8840        -0.229
##        0.5769       -1.01440      0.6260        -1.130
##        0.5769       -1.01440      0.6260        -1.130
##        0.5769       -1.01440      0.6260        -1.130
##        0.5769       -1.01440      0.6260        -1.130
##        0.5769       -1.01440      0.6260        -1.130
##        0.5769       -1.01440      0.6260        -1.130
##        0.5769       -1.01440      0.6260        -1.130
##        0.5769       -1.01440      0.6260        -1.130
##        0.5769       -1.01440      0.6260        -1.130
##        0.5769       -1.01440      0.6260        -1.130
##        0.5769       -1.01440      0.6260        -1.130
##        0.5769       -1.01440      0.6260        -1.130
##        0.5769       -1.01440      0.6260        -1.130
##        0.5769       -1.01440      0.6260        -1.130
##        0.5769       -1.01440      0.6260        -1.130
##        0.5769       -1.01440      0.6260        -1.130
##        0.5769       -1.01440      0.6260        -1.130
##        0.5769       -1.01440      0.6260        -1.130
##        0.5769       -1.01440      0.6260        -1.130
##        0.5769       -1.01440      0.6260        -1.130
##        0.5769       -1.01440      0.6260        -1.130
##        0.5769       -1.01440      0.6260        -1.130
##        0.5769       -1.01440      0.6260        -1.130
##        0.5769       -1.01440      0.6260        -1.130
##        0.5769       -1.01440      0.6260        -1.130
##        0.5769       -1.01440      0.6260        -1.130
##        0.5769       -1.01440      0.6260        -1.130
##        0.5769       -1.01440      0.6260        -1.130
##        0.5769       -1.01440      0.6260        -1.130
##        0.5769       -1.01440      0.6260        -1.130
##        0.5769       -1.01440      0.6260        -1.130
##        0.5769       -1.01440      0.6260        -1.130
##        0.5769       -1.01440      0.6260        -1.130
##        0.5769       -1.01440      0.6260        -1.130
##        0.5769       -1.01440      0.6260        -1.130
##        0.5769       -1.01440      0.6260        -1.130
##        0.5769       -1.01440      0.6260        -1.130
##        0.5769       -1.01440      0.6260        -1.130
##        0.5769       -1.01440      0.6260        -1.130
##        0.5769       -1.01440      0.6260        -1.130
##        0.5769       -1.01440      0.6260        -1.130
##        0.5769       -1.01440      0.6260        -1.130
##        0.5769       -1.01440      0.6260        -1.130
##        0.5769       -1.01440      0.6260        -1.130
##        0.5769       -1.01440      0.6260        -1.130
##        0.5769       -1.01440      0.6260        -1.130
##        0.5769       -1.01440      0.6260        -1.130
##        0.5769       -1.01440      0.6260        -1.130
##        0.5769       -1.01440      0.6260        -1.130
##        0.5769       -1.01440      0.6260        -1.130
##        0.5769       -1.01440      0.6260        -1.130
##        0.5769       -1.01440      0.6260        -1.130
##        0.5769       -1.01440      0.6260        -1.130
##        0.5769       -1.01440      0.6260        -1.130
##        0.5769       -1.01440      0.6260        -1.130
##        0.5769       -1.01440      0.6260        -1.130
##        0.5769       -1.01440      0.6260        -1.130
##        0.5769       -1.01440      0.6260        -1.130
##        0.5769       -1.01440      0.6260        -1.130
##        0.5769       -1.01440      0.6260        -1.130
##        0.5769       -1.01440      0.6260        -1.130
##        0.5769       -1.01440      0.6260        -1.130
##        0.5769       -1.01440      0.6260        -1.130
##        0.5769       -1.01440      0.6260        -1.130
##        0.5769       -1.01440      0.6260        -1.130
##        0.5769       -1.01440      0.6260        -1.130
##        0.5769       -1.01440      0.6260        -1.130
##        0.5769       -1.01440      0.6260        -1.130
##        0.5769       -1.01440      0.6260        -1.130
##        0.5769       -1.01440      0.6260        -1.130
##        0.5769       -1.01440      0.6260        -1.130
##        0.5769       -1.01440      0.6260        -1.130
##        0.5769       -1.01440      0.6260        -1.130
##        0.5769       -1.01440      0.6260        -1.130
##        0.5769       -1.01440      0.6260        -1.130
##        0.5769       -1.01440      0.6260        -1.130
##        0.5769       -1.01440      0.6260        -1.130
##        0.5769       -1.01440      0.6260        -1.130
##        0.5769       -1.01440      0.6260        -1.130
##        0.5769       -1.01440      0.6260        -1.130
##        0.5769       -1.01440      0.6260        -1.130
##        1.5082        1.15775      1.2321         0.734
##        1.5082        1.15775      1.2321         0.734
##        1.5082        1.15775      1.2321         0.734
##        0.9911        0.12403      1.0831         0.348
##        0.9911        0.12403      1.0831         0.348
##        0.9911        0.12403      1.0831         0.348
##        0.9911        0.12403      1.0831         0.348
##        0.9911        0.12403      1.0831         0.348
##        0.9911        0.12403      1.0831         0.348
##        0.9911        0.12403      1.0831         0.348
##        0.9911        0.12403      1.0831         0.348
##        0.9911        0.12403      1.0831         0.348
##        0.9911        0.12403      1.0831         0.348
##        0.9911        0.12403      1.0831         0.348
##        0.9911        0.12403      1.0831         0.348
##        0.9911        0.12403      1.0831         0.348
##        0.9911        0.12403      1.0831         0.348
##        0.9911        0.12403      1.0831         0.348
##        0.9911        0.12403      1.0831         0.348
##        0.9911        0.12403      1.0831         0.348
##        0.9911        0.12403      1.0831         0.348
##        0.9911        0.12403      1.0831         0.348
##        0.9911        0.12403      1.0831         0.348
##        0.9911        0.12403      1.0831         0.348
##        0.9911        0.12403      1.0831         0.348
##        0.9911        0.12403      1.0831         0.348
##        0.9911        0.12403      1.0831         0.348
##        0.9911        0.12403      1.0831         0.348
##        0.9911        0.12403      1.0831         0.348
##        0.9911        0.12403      1.0831         0.348
##        0.9911        0.12403      1.0831         0.348
##        1.3447        0.86229      1.3684         1.066
##        1.3447        0.86229      1.3684         1.066
##        1.3447        0.86229      1.3684         1.066
##        1.3447        0.86229      1.3684         1.066
##        1.3447        0.86229      1.3684         1.066
##        1.3447        0.86229      1.3684         1.066
##        1.3447        0.86229      1.3684         1.066
##        1.3447        0.86229      1.3684         1.066
##        1.3447        0.86229      1.3684         1.066
##        1.3447        0.86229      1.3684         1.066
##        1.3447        0.86229      1.3684         1.066
##        1.3447        0.86229      1.3684         1.066
##        1.3447        0.86229      1.3684         1.066
##        1.3447        0.86229      1.3684         1.066
##        1.3447        0.86229      1.3684         1.066
##        0.8874        0.21587      1.1156         0.391
##        0.8874        0.21587      1.1156         0.391
##        0.8874        0.21587      1.1156         0.391
##        0.8874        0.21587      1.1156         0.391
##        0.8874        0.21587      1.1156         0.391
##        0.8874        0.21587      1.1156         0.391
##        0.8874        0.21587      1.1156         0.391
##        0.8874        0.21587      1.1156         0.391
##        0.8874        0.21587      1.1156         0.391
##        0.8874        0.21587      1.1156         0.391
##        0.8874        0.21587      1.1156         0.391
##        0.8874        0.21587      1.1156         0.391
##        0.8874        0.21587      1.1156         0.391
##        0.8874        0.21587      1.1156         0.391
##        0.8874        0.21587      1.1156         0.391
##        0.8874        0.21587      1.1156         0.391
##        0.8874        0.21587      1.1156         0.391
##        0.8874        0.21587      1.1156         0.391
##        0.8874        0.21587      1.1156         0.391
##        0.8874        0.21587      1.1156         0.391
##        0.8874        0.21587      1.1156         0.391
##        0.8874        0.21587      1.1156         0.391
##        0.8874        0.21587      1.1156         0.391
##        0.8874        0.21587      1.1156         0.391
##        0.8874        0.21587      1.1156         0.391
##        0.8874        0.21587      1.1156         0.391
##        0.8874        0.21587      1.1156         0.391
##        0.8874        0.21587      1.1156         0.391
##        0.8874        0.21587      1.1156         0.391
##        0.8874        0.21587      1.1156         0.391
##        0.8874        0.21587      1.1156         0.391
##        0.8874        0.21587      1.1156         0.391
##        0.8874        0.21587      1.1156         0.391
##        0.8874        0.21587      1.1156         0.391
##        0.8874        0.21587      1.1156         0.391
##        0.8874        0.21587      1.1156         0.391
##        0.8874        0.21587      1.1156         0.391
##        0.8874        0.21587      1.1156         0.391
##        0.8874        0.21587      1.1156         0.391
##        0.8874        0.21587      1.1156         0.391
##        0.8874        0.21587      1.1156         0.391
##        0.8874        0.21587      1.1156         0.391
##        0.8874        0.21587      1.1156         0.391
##        0.8874        0.21587      1.1156         0.391
##        0.8874        0.21587      1.1156         0.391
##        0.8874        0.21587      1.1156         0.391
##        0.8874        0.21587      1.1156         0.391
##        0.8874        0.21587      1.1156         0.391
##        0.8874        0.21587      1.1156         0.391
##        0.8874        0.21587      1.1156         0.391
##        0.8874        0.21587      1.1156         0.391
##        0.8874        0.21587      1.1156         0.391
##        0.8874        0.21587      1.1156         0.391
##        0.8874        0.21587      1.1156         0.391
##        0.8874        0.21587      1.1156         0.391
##        0.8874        0.21587      1.1156         0.391
##        0.8874        0.21587      1.1156         0.391
##        0.8874        0.21587      1.1156         0.391
##        0.8874        0.21587      1.1156         0.391
##        0.8874        0.21587      1.1156         0.391
##        0.8874        0.21587      1.1156         0.391
##        0.8874        0.21587      1.1156         0.391
##        0.8874        0.21587      1.1156         0.391
##        0.8874        0.21587      1.1156         0.391
##        0.8874        0.21587      1.1156         0.391
##        0.8874        0.21587      1.1156         0.391
##        0.8874        0.21587      1.1156         0.391
##        0.8874        0.21587      1.1156         0.391
##        0.8874        0.21587      1.1156         0.391
##        0.8874        0.21587      1.1156         0.391
##        0.8874        0.21587      1.1156         0.391
##        0.8874        0.21587      1.1156         0.391
##        0.8874        0.21587      1.1156         0.391
##        0.8874        0.21587      1.1156         0.391
##        0.8874        0.21587      1.1156         0.391
##        0.8874        0.21587      1.1156         0.391
##        0.8874        0.21587      1.1156         0.391
##        0.8874        0.21587      1.1156         0.391
##        0.8874        0.21587      1.1156         0.391
##        0.8874        0.21587      1.1156         0.391
##        0.9644        0.06210      0.9991         0.114
##        0.9644        0.06210      0.9991         0.114
##        0.9644        0.06210      0.9991         0.114
##        0.9644        0.06210      0.9991         0.114
##        0.9644        0.06210      0.9991         0.114
##        0.9644        0.06210      0.9991         0.114
##        0.9644        0.06210      0.9991         0.114
##        0.9644        0.06210      0.9991         0.114
##        0.9644        0.06210      0.9991         0.114
##        0.9644        0.06210      0.9991         0.114
##        0.9644        0.06210      0.9991         0.114
##        0.9644        0.06210      0.9991         0.114
##        0.9644        0.06210      0.9991         0.114
##        0.9644        0.06210      0.9991         0.114
##        0.9644        0.06210      0.9991         0.114
##        0.9644        0.06210      0.9991         0.114
##        0.6918       -0.65497      0.7563        -0.650
##        0.6918       -0.65497      0.7563        -0.650
##        0.6918       -0.65497      0.7563        -0.650
##        0.6918       -0.65497      0.7563        -0.650
##        0.6918       -0.65497      0.7563        -0.650
##        0.6918       -0.65497      0.7563        -0.650
##        0.6918       -0.65497      0.7563        -0.650
##        0.6918       -0.65497      0.7563        -0.650
##        0.6918       -0.65497      0.7563        -0.650
##        0.6918       -0.65497      0.7563        -0.650
##        0.6918       -0.65497      0.7563        -0.650
##        0.6918       -0.65497      0.7563        -0.650
##        0.6918       -0.65497      0.7563        -0.650
##        0.6918       -0.65497      0.7563        -0.650
##        0.6918       -0.65497      0.7563        -0.650
##        0.6918       -0.65497      0.7563        -0.650
##        0.6918       -0.65497      0.7563        -0.650
##        0.6918       -0.65497      0.7563        -0.650
##        0.6918       -0.65497      0.7563        -0.650
##        0.6918       -0.65497      0.7563        -0.650
##        0.6918       -0.65497      0.7563        -0.650
##        0.6918       -0.65497      0.7563        -0.650
##        0.6918       -0.65497      0.7563        -0.650
##        0.6918       -0.65497      0.7563        -0.650
##        0.6918       -0.65497      0.7563        -0.650
##        0.6918       -0.65497      0.7563        -0.650
##        0.6918       -0.65497      0.7563        -0.650
##        0.6918       -0.65497      0.7563        -0.650
##        0.6918       -0.65497      0.7563        -0.650
##        0.6918       -0.65497      0.7563        -0.650
##        0.6918       -0.65497      0.7563        -0.650
##        0.6918       -0.65497      0.7563        -0.650
##        0.6918       -0.65497      0.7563        -0.650
##        0.6918       -0.65497      0.7563        -0.650
##        0.6918       -0.65497      0.7563        -0.650
##        0.6918       -0.65497      0.7563        -0.650
##        0.6918       -0.65497      0.7563        -0.650
##        0.6918       -0.65497      0.7563        -0.650
##        0.6918       -0.65497      0.7563        -0.650
##        0.6918       -0.65497      0.7563        -0.650
##        0.6918       -0.65497      0.7563        -0.650
##        0.6918       -0.65497      0.7563        -0.650
##        0.6918       -0.65497      0.7563        -0.650
##        0.6918       -0.65497      0.7563        -0.650
##        0.6918       -0.65497      0.7563        -0.650
##        0.6918       -0.65497      0.7563        -0.650
##        0.6918       -0.65497      0.7563        -0.650
##        0.6918       -0.65497      0.7563        -0.650
##        0.6918       -0.65497      0.7563        -0.650
##        0.6918       -0.65497      0.7563        -0.650
##        0.6918       -0.65497      0.7563        -0.650
##        0.6918       -0.65497      0.7563        -0.650
##        0.6918       -0.65497      0.7563        -0.650
##        0.6918       -0.65497      0.7563        -0.650
##        0.6918       -0.65497      0.7563        -0.650
##        0.6918       -0.65497      0.7563        -0.650
##        1.0453        0.24758      1.0416         0.234
##        1.0453        0.24758      1.0416         0.234
##        1.0453        0.24758      1.0416         0.234
##        1.0453        0.24758      1.0416         0.234
##        1.0453        0.24758      1.0416         0.234
##        1.0453        0.24758      1.0416         0.234
##        1.0453        0.24758      1.0416         0.234
##        1.0453        0.24758      1.0416         0.234
##        1.0453        0.24758      1.0416         0.234
##        1.0453        0.24758      1.0416         0.234
##        1.0453        0.24758      1.0416         0.234
##        1.0453        0.24758      1.0416         0.234
##        1.0453        0.24758      1.0416         0.234
##        1.0453        0.24758      1.0416         0.234
##        1.0453        0.24758      1.0416         0.234
##        1.0453        0.24758      1.0416         0.234
##        1.0453        0.24758      1.0416         0.234
##        1.0453        0.24758      1.0416         0.234
##        1.0453        0.24758      1.0416         0.234
##        1.0453        0.24758      1.0416         0.234
##        1.0453        0.24758      1.0416         0.234
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        0.4773       -0.32276      0.7012        -0.261
##        1.4596        1.07387      1.4987         1.360
##        1.4596        1.07387      1.4987         1.360
##        1.4596        1.07387      1.4987         1.360
##        1.4596        1.07387      1.4987         1.360
##        1.4596        1.07387      1.4987         1.360
##        1.4596        1.07387      1.4987         1.360
##        1.4596        1.07387      1.4987         1.360
##        1.4596        1.07387      1.4987         1.360
##        1.4596        1.07387      1.4987         1.360
##        1.4596        1.07387      1.4987         1.360
##        1.4596        1.07387      1.4987         1.360
##        1.1236        0.45200      1.2431         0.558
##        1.1236        0.45200      1.2431         0.558
##        1.1236        0.45200      1.2431         0.558
##        1.1236        0.45200      1.2431         0.558
##        1.1236        0.45200      1.2431         0.558
##        1.1236        0.45200      1.2431         0.558
##        1.1236        0.45200      1.2431         0.558
##        1.1236        0.45200      1.2431         0.558
##        1.1236        0.45200      1.2431         0.558
##        1.1236        0.45200      1.2431         0.558
##        1.1236        0.45200      1.2431         0.558
##        1.1236        0.45200      1.2431         0.558
##        1.1236        0.45200      1.2431         0.558
##        1.1236        0.45200      1.2431         0.558
##        1.1236        0.45200      1.2431         0.558
##        1.1236        0.45200      1.2431         0.558
##        1.1236        0.45200      1.2431         0.558
##        1.1236        0.45200      1.2431         0.558
##        1.1236        0.45200      1.2431         0.558
##        1.1236        0.45200      1.2431         0.558
##        1.1236        0.45200      1.2431         0.558
##        1.1236        0.45200      1.2431         0.558
##        1.1236        0.45200      1.2431         0.558
##        1.1236        0.45200      1.2431         0.558
##        1.1236        0.45200      1.2431         0.558
##        1.1236        0.45200      1.2431         0.558
##        1.1236        0.45200      1.2431         0.558
##        1.1236        0.45200      1.2431         0.558
##        1.1236        0.45200      1.2431         0.558
##        1.1236        0.45200      1.2431         0.558
##        1.1236        0.45200      1.2431         0.558
##        1.1236        0.45200      1.2431         0.558
##        1.1236        0.45200      1.2431         0.558
##        1.1236        0.45200      1.2431         0.558
##        1.1236        0.45200      1.2431         0.558
##        1.1236        0.45200      1.2431         0.558
##        1.1236        0.45200      1.2431         0.558
##        1.1236        0.45200      1.2431         0.558
##        1.1236        0.45200      1.2431         0.558
##        1.1236        0.45200      1.2431         0.558
##        1.1236        0.45200      1.2431         0.558
##        1.1236        0.45200      1.2431         0.558
##        1.1236        0.45200      1.2431         0.558
##        1.1236        0.45200      1.2431         0.558
##        1.1236        0.45200      1.2431         0.558
##        1.1236        0.45200      1.2431         0.558
##        1.1236        0.45200      1.2431         0.558
##        1.1236        0.45200      1.2431         0.558
##        1.1236        0.45200      1.2431         0.558
##        1.1236        0.45200      1.2431         0.558
##        1.1236        0.45200      1.2431         0.558
##        1.1236        0.45200      1.2431         0.558
##        1.1236        0.45200      1.2431         0.558
##        1.1236        0.45200      1.2431         0.558
##        1.1236        0.45200      1.2431         0.558
##        1.1236        0.45200      1.2431         0.558
##        1.1236        0.45200      1.2431         0.558
##        1.1236        0.45200      1.2431         0.558
##        1.1236        0.45200      1.2431         0.558
##        1.1236        0.45200      1.2431         0.558
##        1.1236        0.45200      1.2431         0.558
##        2.0440        1.14096      1.4716         0.831
##        2.0440        1.14096      1.4716         0.831
##        2.0440        1.14096      1.4716         0.831
##        2.0440        1.14096      1.4716         0.831
##        2.0440        1.14096      1.4716         0.831
##        2.0440        1.14096      1.4716         0.831
##        2.0440        1.14096      1.4716         0.831
##        2.0440        1.14096      1.4716         0.831
##        2.0440        1.14096      1.4716         0.831
##        2.0440        1.14096      1.4716         0.831
##        2.0440        1.14096      1.4716         0.831
##        2.0440        1.14096      1.4716         0.831
##        2.0440        1.14096      1.4716         0.831
##        2.0440        1.14096      1.4716         0.831
##        2.0440        1.14096      1.4716         0.831
##        2.0440        1.14096      1.4716         0.831
##        2.0440        1.14096      1.4716         0.831
##        2.0440        1.14096      1.4716         0.831
##        2.0440        1.14096      1.4716         0.831
##        2.0440        1.14096      1.4716         0.831
##        2.0440        1.14096      1.4716         0.831
##        2.0440        1.14096      1.4716         0.831
##        2.0440        1.14096      1.4716         0.831
##        2.0440        1.14096      1.4716         0.831
##        2.0440        1.14096      1.4716         0.831
##        2.0440        1.14096      1.4716         0.831
##        2.0440        1.14096      1.4716         0.831
##        2.0440        1.14096      1.4716         0.831
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
##        0.0581        0.00189      0.0848        -0.411
summary(jmle.birey.uyum)
##   outfitPerson     outfitPerson_t       infitPerson      infitPerson_t    
##  Min.   :0.05805   Min.   :-1.172573   Min.   :0.08383   Min.   :-1.3585  
##  1st Qu.:0.05805   1st Qu.:-0.322759   1st Qu.:0.08476   1st Qu.:-0.4108  
##  Median :0.52953   Median : 0.001894   Median :0.70122   Median :-0.2612  
##  Mean   :0.64505   Mean   :-0.024795   Mean   :0.68971   Mean   :-0.1410  
##  3rd Qu.:0.90662   3rd Qu.: 0.215872   3rd Qu.:1.11560   3rd Qu.: 0.3909  
##  Max.   :2.95731   Max.   : 2.240786   Max.   :1.94303   Max.   : 2.2515

YUKARIDA MADDELER İÇİN YAPTIĞIMIZ YORUMLAR BİREYLER İÇİNDE GEÇERLİDİR.

library(eRm)
## 
## Attaching package: 'eRm'
## The following objects are masked from 'package:mirt':
## 
##     itemfit, personfit
fitrm1 <- RM(LSAT)
-fitrm1$betapar
## beta Item 1 beta Item 2 beta Item 3 beta Item 4 beta Item 5 
##  -1.2561280   0.4749071   1.2359806   0.1684101  -0.6231699
LSAT2<-LSAT
set.seed(123)  # Aynı sonuçlar için sabit tohum
gender <- sample(c("F", "M"), size = nrow(LSAT2), replace = TRUE)
LSAT2$gender <- gender

LSAT2$gender <- factor(LSAT2$gender, levels = c("F", "M"))
LRtest(fitrm1, LSAT2$gender)
## 
## Andersen LR-test: 
## LR-value: 6.99 
## Chi-square df: 4 
## p-value:  0.136

TEST SONUCU ANLAMSIZDIR. CİNSİYET İÇİN FARKLI İŞLEYEN MADDE YOK. CİNSİYET DEĞİŞKENİNİ KEYFİ EKLEDİĞİM İÇİN SONUÇLAR GÜVENİLİR OLMAYABİLİR.

Waldtest(fitrm1, LSAT2$gender)
## 
## Wald test on item level (z-values):
## 
##             z-statistic p-value
## beta Item 1      -1.973   0.048
## beta Item 2       1.149   0.250
## beta Item 3       2.103   0.035
## beta Item 4      -0.255   0.799
## beta Item 5       0.030   0.976
fitLR <-  LRtest(fitrm1, LSAT2$gender)
plotGOF(fitLR, ctrline=list(col= "blue"), conf=list())

BAZI MADDELER KISMEN GÜVEN ARALIĞININ DIŞINDA KALSADA TAMAMEN GÜVEN ARALIĞININ DIŞINDA OLMADIĞI İÇİN MADDE ÇIKARTILMASI GEREKLİ DEĞİL.

NPtest(as.matrix(LSAT[, c(1, 5)]), n=1000, method="T1")
## Nonparametric RM model test: T1 (local dependence - increased
##     inter-item correlations)
##     (counting cases with equal responses on both items)
## Number of sampled matrices: 1000 
## Number of Item-Pairs tested: 1 
## Item-Pairs with one-sided p < 0.05 
## none

TÜM MADDELER YEREL BAĞIMSIZLIK VARSAYIMINI SAĞLAR.

NPtest(as.matrix(LSAT[, c(1, 5)]), n=1000, method="T11")
## Nonparametric RM model test: T11 (global test - local dependence)
## (sum of deviations between observed and expected inter-item
##     correlations)
## Number of sampled matrices: 1000 
## one-sided p-value: 1

GENEL YEREL BAĞIMSIZLIK VARSAYIMINI SAĞLAR.

plotjointICC(fitrm1)

EN KOLAY MADDE 3 EN ZOR MADDE 1

library(eRm)
fitrm1 <- RM(LSAT)
bireypar <- person.parameter(fitrm1)
bireypar
## 
## Person Parameters:
## 
##  Raw Score   Estimate Std.Error
##          0 -2.7855347        NA
##          1 -1.6015334 1.1810380
##          2 -0.4743284 0.9897951
##          3  0.4808631 0.9873671
##          4  1.5999474 1.1768088
##          5  2.7742040        NA
bireypar$theta.table
##       Person Parameter Std.Error NAgroup Interpolated
## P1          -2.7855347 1.4098403       1         TRUE
## P2          -2.7855347 1.4098403       1         TRUE
## P3          -2.7855347 1.4098403       1         TRUE
## P4          -1.6015334 1.1810380       1        FALSE
## P5          -1.6015334 1.1810380       1        FALSE
## P6          -1.6015334 1.1810380       1        FALSE
## P7          -1.6015334 1.1810380       1        FALSE
## P8          -1.6015334 1.1810380       1        FALSE
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## P256         0.4808631 0.9873671       1        FALSE
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## P260         1.5999474 1.1768088       1        FALSE
## P261         1.5999474 1.1768088       1        FALSE
## P262         1.5999474 1.1768088       1        FALSE
## P263         1.5999474 1.1768088       1        FALSE
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## P267         1.5999474 1.1768088       1        FALSE
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## P273         1.5999474 1.1768088       1        FALSE
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## P275         1.5999474 1.1768088       1        FALSE
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## P281         1.5999474 1.1768088       1        FALSE
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## P283         1.5999474 1.1768088       1        FALSE
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## P286         1.5999474 1.1768088       1        FALSE
## P287         1.5999474 1.1768088       1        FALSE
## P288         1.5999474 1.1768088       1        FALSE
## P289         1.5999474 1.1768088       1        FALSE
## P290         1.5999474 1.1768088       1        FALSE
## P291         1.5999474 1.1768088       1        FALSE
## P292         1.5999474 1.1768088       1        FALSE
## P293         1.5999474 1.1768088       1        FALSE
## P294         1.5999474 1.1768088       1        FALSE
## P295         1.5999474 1.1768088       1        FALSE
## P296         1.5999474 1.1768088       1        FALSE
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## P299         1.5999474 1.1768088       1        FALSE
## P300         1.5999474 1.1768088       1        FALSE
## P301         1.5999474 1.1768088       1        FALSE
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## P312         1.5999474 1.1768088       1        FALSE
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## P317         1.5999474 1.1768088       1        FALSE
## P318         1.5999474 1.1768088       1        FALSE
## P319         1.5999474 1.1768088       1        FALSE
## P320         1.5999474 1.1768088       1        FALSE
## P321         1.5999474 1.1768088       1        FALSE
## P322         1.5999474 1.1768088       1        FALSE
## P323         1.5999474 1.1768088       1        FALSE
## P324         1.5999474 1.1768088       1        FALSE
## P325         1.5999474 1.1768088       1        FALSE
## P326         1.5999474 1.1768088       1        FALSE
## P327         1.5999474 1.1768088       1        FALSE
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## P329         1.5999474 1.1768088       1        FALSE
## P330         1.5999474 1.1768088       1        FALSE
## P331         1.5999474 1.1768088       1        FALSE
## P332         1.5999474 1.1768088       1        FALSE
## P333         1.5999474 1.1768088       1        FALSE
## P334         1.5999474 1.1768088       1        FALSE
## P335         1.5999474 1.1768088       1        FALSE
## P336         1.5999474 1.1768088       1        FALSE
## P337        -0.4743284 0.9897951       1        FALSE
## P338        -0.4743284 0.9897951       1        FALSE
## P339        -0.4743284 0.9897951       1        FALSE
## P340        -0.4743284 0.9897951       1        FALSE
## P341        -0.4743284 0.9897951       1        FALSE
## P342        -0.4743284 0.9897951       1        FALSE
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## P344        -0.4743284 0.9897951       1        FALSE
## P345        -0.4743284 0.9897951       1        FALSE
## P346        -0.4743284 0.9897951       1        FALSE
## P347        -0.4743284 0.9897951       1        FALSE
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## P350        -0.4743284 0.9897951       1        FALSE
## P351        -0.4743284 0.9897951       1        FALSE
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## P409         0.4808631 0.9873671       1        FALSE
## P410         0.4808631 0.9873671       1        FALSE
## P411         0.4808631 0.9873671       1        FALSE
## P412         0.4808631 0.9873671       1        FALSE
## P413         0.4808631 0.9873671       1        FALSE
## P414         0.4808631 0.9873671       1        FALSE
## P415         0.4808631 0.9873671       1        FALSE
## P416         0.4808631 0.9873671       1        FALSE
## P417         0.4808631 0.9873671       1        FALSE
## P418         0.4808631 0.9873671       1        FALSE
## P419         0.4808631 0.9873671       1        FALSE
## P420         0.4808631 0.9873671       1        FALSE
## P421         0.4808631 0.9873671       1        FALSE
## P422         0.4808631 0.9873671       1        FALSE
## P423         0.4808631 0.9873671       1        FALSE
## P424         0.4808631 0.9873671       1        FALSE
## P425         0.4808631 0.9873671       1        FALSE
## P426         0.4808631 0.9873671       1        FALSE
## P427         0.4808631 0.9873671       1        FALSE
## P428         0.4808631 0.9873671       1        FALSE
## P429         0.4808631 0.9873671       1        FALSE
## P430         1.5999474 1.1768088       1        FALSE
## P431         1.5999474 1.1768088       1        FALSE
## P432         1.5999474 1.1768088       1        FALSE
## P433         1.5999474 1.1768088       1        FALSE
## P434         1.5999474 1.1768088       1        FALSE
## P435         1.5999474 1.1768088       1        FALSE
## P436         1.5999474 1.1768088       1        FALSE
## P437         1.5999474 1.1768088       1        FALSE
## P438         1.5999474 1.1768088       1        FALSE
## P439         1.5999474 1.1768088       1        FALSE
## P440         1.5999474 1.1768088       1        FALSE
## P441         1.5999474 1.1768088       1        FALSE
## P442         1.5999474 1.1768088       1        FALSE
## P443         1.5999474 1.1768088       1        FALSE
## P444         1.5999474 1.1768088       1        FALSE
## P445         1.5999474 1.1768088       1        FALSE
## P446         1.5999474 1.1768088       1        FALSE
## P447         1.5999474 1.1768088       1        FALSE
## P448         1.5999474 1.1768088       1        FALSE
## P449         1.5999474 1.1768088       1        FALSE
## P450         1.5999474 1.1768088       1        FALSE
## P451         1.5999474 1.1768088       1        FALSE
## P452         1.5999474 1.1768088       1        FALSE
## P453         1.5999474 1.1768088       1        FALSE
## P454         1.5999474 1.1768088       1        FALSE
## P455         1.5999474 1.1768088       1        FALSE
## P456         1.5999474 1.1768088       1        FALSE
## P457         1.5999474 1.1768088       1        FALSE
## P458         1.5999474 1.1768088       1        FALSE
## P459         1.5999474 1.1768088       1        FALSE
## P460         1.5999474 1.1768088       1        FALSE
## P461         1.5999474 1.1768088       1        FALSE
## P462         1.5999474 1.1768088       1        FALSE
## P463         1.5999474 1.1768088       1        FALSE
## P464         1.5999474 1.1768088       1        FALSE
## P465         1.5999474 1.1768088       1        FALSE
## P466         1.5999474 1.1768088       1        FALSE
## P467         1.5999474 1.1768088       1        FALSE
## P468         1.5999474 1.1768088       1        FALSE
## P469         1.5999474 1.1768088       1        FALSE
## P470         1.5999474 1.1768088       1        FALSE
## P471         1.5999474 1.1768088       1        FALSE
## P472         1.5999474 1.1768088       1        FALSE
## P473         1.5999474 1.1768088       1        FALSE
## P474         1.5999474 1.1768088       1        FALSE
## P475         1.5999474 1.1768088       1        FALSE
## P476         1.5999474 1.1768088       1        FALSE
## P477         1.5999474 1.1768088       1        FALSE
## P478         1.5999474 1.1768088       1        FALSE
## P479         1.5999474 1.1768088       1        FALSE
## P480         1.5999474 1.1768088       1        FALSE
## P481         1.5999474 1.1768088       1        FALSE
## P482         1.5999474 1.1768088       1        FALSE
## P483         1.5999474 1.1768088       1        FALSE
## P484         1.5999474 1.1768088       1        FALSE
## P485         1.5999474 1.1768088       1        FALSE
## P486         1.5999474 1.1768088       1        FALSE
## P487         1.5999474 1.1768088       1        FALSE
## P488         1.5999474 1.1768088       1        FALSE
## P489         1.5999474 1.1768088       1        FALSE
## P490         1.5999474 1.1768088       1        FALSE
## P491         1.5999474 1.1768088       1        FALSE
## P492         1.5999474 1.1768088       1        FALSE
## P493         1.5999474 1.1768088       1        FALSE
## P494         1.5999474 1.1768088       1        FALSE
## P495         1.5999474 1.1768088       1        FALSE
## P496         1.5999474 1.1768088       1        FALSE
## P497         1.5999474 1.1768088       1        FALSE
## P498         1.5999474 1.1768088       1        FALSE
## P499         1.5999474 1.1768088       1        FALSE
## P500         1.5999474 1.1768088       1        FALSE
## P501         1.5999474 1.1768088       1        FALSE
## P502         1.5999474 1.1768088       1        FALSE
## P503         1.5999474 1.1768088       1        FALSE
## P504         1.5999474 1.1768088       1        FALSE
## P505         1.5999474 1.1768088       1        FALSE
## P506         1.5999474 1.1768088       1        FALSE
## P507         1.5999474 1.1768088       1        FALSE
## P508         1.5999474 1.1768088       1        FALSE
## P509         1.5999474 1.1768088       1        FALSE
## P510         1.5999474 1.1768088       1        FALSE
## P511         1.5999474 1.1768088       1        FALSE
## P512         1.5999474 1.1768088       1        FALSE
## P513         1.5999474 1.1768088       1        FALSE
## P514         1.5999474 1.1768088       1        FALSE
## P515         1.5999474 1.1768088       1        FALSE
## P516         1.5999474 1.1768088       1        FALSE
## P517         1.5999474 1.1768088       1        FALSE
## P518         1.5999474 1.1768088       1        FALSE
## P519         1.5999474 1.1768088       1        FALSE
## P520         1.5999474 1.1768088       1        FALSE
## P521         1.5999474 1.1768088       1        FALSE
## P522         1.5999474 1.1768088       1        FALSE
## P523         1.5999474 1.1768088       1        FALSE
## P524         1.5999474 1.1768088       1        FALSE
## P525         1.5999474 1.1768088       1        FALSE
## P526         1.5999474 1.1768088       1        FALSE
## P527         1.5999474 1.1768088       1        FALSE
## P528         1.5999474 1.1768088       1        FALSE
## P529         1.5999474 1.1768088       1        FALSE
## P530         1.5999474 1.1768088       1        FALSE
## P531         1.5999474 1.1768088       1        FALSE
## P532         1.5999474 1.1768088       1        FALSE
## P533         1.5999474 1.1768088       1        FALSE
## P534         1.5999474 1.1768088       1        FALSE
## P535         1.5999474 1.1768088       1        FALSE
## P536         1.5999474 1.1768088       1        FALSE
## P537         1.5999474 1.1768088       1        FALSE
## P538         1.5999474 1.1768088       1        FALSE
## P539         1.5999474 1.1768088       1        FALSE
## P540         1.5999474 1.1768088       1        FALSE
## P541         1.5999474 1.1768088       1        FALSE
## P542         1.5999474 1.1768088       1        FALSE
## P543         1.5999474 1.1768088       1        FALSE
## P544         1.5999474 1.1768088       1        FALSE
## P545         1.5999474 1.1768088       1        FALSE
## P546         1.5999474 1.1768088       1        FALSE
## P547         1.5999474 1.1768088       1        FALSE
## P548         1.5999474 1.1768088       1        FALSE
## P549         1.5999474 1.1768088       1        FALSE
## P550         1.5999474 1.1768088       1        FALSE
## P551         1.5999474 1.1768088       1        FALSE
## P552         1.5999474 1.1768088       1        FALSE
## P553         1.5999474 1.1768088       1        FALSE
## P554         1.5999474 1.1768088       1        FALSE
## P555         1.5999474 1.1768088       1        FALSE
## P556         1.5999474 1.1768088       1        FALSE
## P557         1.5999474 1.1768088       1        FALSE
## P558         1.5999474 1.1768088       1        FALSE
## P559         1.5999474 1.1768088       1        FALSE
## P560         1.5999474 1.1768088       1        FALSE
## P561         1.5999474 1.1768088       1        FALSE
## P562         1.5999474 1.1768088       1        FALSE
## P563         1.5999474 1.1768088       1        FALSE
## P564         1.5999474 1.1768088       1        FALSE
## P565         1.5999474 1.1768088       1        FALSE
## P566         1.5999474 1.1768088       1        FALSE
## P567         1.5999474 1.1768088       1        FALSE
## P568         1.5999474 1.1768088       1        FALSE
## P569         1.5999474 1.1768088       1        FALSE
## P570         1.5999474 1.1768088       1        FALSE
## P571         1.5999474 1.1768088       1        FALSE
## P572         1.5999474 1.1768088       1        FALSE
## P573         1.5999474 1.1768088       1        FALSE
## P574         1.5999474 1.1768088       1        FALSE
## P575         1.5999474 1.1768088       1        FALSE
## P576         1.5999474 1.1768088       1        FALSE
## P577         1.5999474 1.1768088       1        FALSE
## P578         1.5999474 1.1768088       1        FALSE
## P579         1.5999474 1.1768088       1        FALSE
## P580         1.5999474 1.1768088       1        FALSE
## P581         1.5999474 1.1768088       1        FALSE
## P582         1.5999474 1.1768088       1        FALSE
## P583         1.5999474 1.1768088       1        FALSE
## P584         1.5999474 1.1768088       1        FALSE
## P585         1.5999474 1.1768088       1        FALSE
## P586         1.5999474 1.1768088       1        FALSE
## P587         1.5999474 1.1768088       1        FALSE
## P588         1.5999474 1.1768088       1        FALSE
## P589         1.5999474 1.1768088       1        FALSE
## P590         1.5999474 1.1768088       1        FALSE
## P591         1.5999474 1.1768088       1        FALSE
## P592         1.5999474 1.1768088       1        FALSE
## P593         1.5999474 1.1768088       1        FALSE
## P594         1.5999474 1.1768088       1        FALSE
## P595         1.5999474 1.1768088       1        FALSE
## P596         1.5999474 1.1768088       1        FALSE
## P597         1.5999474 1.1768088       1        FALSE
## P598         1.5999474 1.1768088       1        FALSE
## P599         1.5999474 1.1768088       1        FALSE
## P600         1.5999474 1.1768088       1        FALSE
## P601         1.5999474 1.1768088       1        FALSE
## P602         1.5999474 1.1768088       1        FALSE
## P603         0.4808631 0.9873671       1        FALSE
## P604         0.4808631 0.9873671       1        FALSE
## P605         0.4808631 0.9873671       1        FALSE
## P606         0.4808631 0.9873671       1        FALSE
## P607         0.4808631 0.9873671       1        FALSE
## P608         0.4808631 0.9873671       1        FALSE
## P609         0.4808631 0.9873671       1        FALSE
## P610         0.4808631 0.9873671       1        FALSE
## P611         0.4808631 0.9873671       1        FALSE
## P612         0.4808631 0.9873671       1        FALSE
## P613         0.4808631 0.9873671       1        FALSE
## P614         1.5999474 1.1768088       1        FALSE
## P615         1.5999474 1.1768088       1        FALSE
## P616         1.5999474 1.1768088       1        FALSE
## P617         1.5999474 1.1768088       1        FALSE
## P618         1.5999474 1.1768088       1        FALSE
## P619         1.5999474 1.1768088       1        FALSE
## P620         1.5999474 1.1768088       1        FALSE
## P621         1.5999474 1.1768088       1        FALSE
## P622         1.5999474 1.1768088       1        FALSE
## P623         1.5999474 1.1768088       1        FALSE
## P624         1.5999474 1.1768088       1        FALSE
## P625         1.5999474 1.1768088       1        FALSE
## P626         1.5999474 1.1768088       1        FALSE
## P627         1.5999474 1.1768088       1        FALSE
## P628         1.5999474 1.1768088       1        FALSE
## P629         1.5999474 1.1768088       1        FALSE
## P630         1.5999474 1.1768088       1        FALSE
## P631         1.5999474 1.1768088       1        FALSE
## P632         1.5999474 1.1768088       1        FALSE
## P633         1.5999474 1.1768088       1        FALSE
## P634         1.5999474 1.1768088       1        FALSE
## P635         1.5999474 1.1768088       1        FALSE
## P636         1.5999474 1.1768088       1        FALSE
## P637         1.5999474 1.1768088       1        FALSE
## P638         1.5999474 1.1768088       1        FALSE
## P639         1.5999474 1.1768088       1        FALSE
## P640         1.5999474 1.1768088       1        FALSE
## P641         1.5999474 1.1768088       1        FALSE
## P642         1.5999474 1.1768088       1        FALSE
## P643         1.5999474 1.1768088       1        FALSE
## P644         1.5999474 1.1768088       1        FALSE
## P645         1.5999474 1.1768088       1        FALSE
## P646         1.5999474 1.1768088       1        FALSE
## P647         1.5999474 1.1768088       1        FALSE
## P648         1.5999474 1.1768088       1        FALSE
## P649         1.5999474 1.1768088       1        FALSE
## P650         1.5999474 1.1768088       1        FALSE
## P651         1.5999474 1.1768088       1        FALSE
## P652         1.5999474 1.1768088       1        FALSE
## P653         1.5999474 1.1768088       1        FALSE
## P654         1.5999474 1.1768088       1        FALSE
## P655         1.5999474 1.1768088       1        FALSE
## P656         1.5999474 1.1768088       1        FALSE
## P657         1.5999474 1.1768088       1        FALSE
## P658         1.5999474 1.1768088       1        FALSE
## P659         1.5999474 1.1768088       1        FALSE
## P660         1.5999474 1.1768088       1        FALSE
## P661         1.5999474 1.1768088       1        FALSE
## P662         1.5999474 1.1768088       1        FALSE
## P663         1.5999474 1.1768088       1        FALSE
## P664         1.5999474 1.1768088       1        FALSE
## P665         1.5999474 1.1768088       1        FALSE
## P666         1.5999474 1.1768088       1        FALSE
## P667         1.5999474 1.1768088       1        FALSE
## P668         1.5999474 1.1768088       1        FALSE
## P669         1.5999474 1.1768088       1        FALSE
## P670         1.5999474 1.1768088       1        FALSE
## P671         1.5999474 1.1768088       1        FALSE
## P672         1.5999474 1.1768088       1        FALSE
## P673         1.5999474 1.1768088       1        FALSE
## P674         1.5999474 1.1768088       1        FALSE
## P675         1.5999474 1.1768088       1        FALSE
## P676         1.5999474 1.1768088       1        FALSE
## P677         1.5999474 1.1768088       1        FALSE
## P678         1.5999474 1.1768088       1        FALSE
## P679         1.5999474 1.1768088       1        FALSE
## P680         1.5999474 1.1768088       1        FALSE
## P681         1.5999474 1.1768088       1        FALSE
## P682         1.5999474 1.1768088       1        FALSE
## P683         1.5999474 1.1768088       1        FALSE
## P684         1.5999474 1.1768088       1        FALSE
## P685         1.5999474 1.1768088       1        FALSE
## P686         1.5999474 1.1768088       1        FALSE
## P687         1.5999474 1.1768088       1        FALSE
## P688         1.5999474 1.1768088       1        FALSE
## P689         1.5999474 1.1768088       1        FALSE
## P690         1.5999474 1.1768088       1        FALSE
## P691         1.5999474 1.1768088       1        FALSE
## P692         1.5999474 1.1768088       1        FALSE
## P693         1.5999474 1.1768088       1        FALSE
## P694         1.5999474 1.1768088       1        FALSE
## P695         1.5999474 1.1768088       1        FALSE
## P696         1.5999474 1.1768088       1        FALSE
## P697         1.5999474 1.1768088       1        FALSE
## P698         1.5999474 1.1768088       1        FALSE
## P699         1.5999474 1.1768088       1        FALSE
## P700         1.5999474 1.1768088       1        FALSE
## P701         1.5999474 1.1768088       1        FALSE
## P702         1.5999474 1.1768088       1        FALSE
## P703         2.7742040 1.4048282       1         TRUE
## P704         2.7742040 1.4048282       1         TRUE
## P705         2.7742040 1.4048282       1         TRUE
## P706         2.7742040 1.4048282       1         TRUE
## P707         2.7742040 1.4048282       1         TRUE
## P708         2.7742040 1.4048282       1         TRUE
## P709         2.7742040 1.4048282       1         TRUE
## P710         2.7742040 1.4048282       1         TRUE
## P711         2.7742040 1.4048282       1         TRUE
## P712         2.7742040 1.4048282       1         TRUE
## P713         2.7742040 1.4048282       1         TRUE
## P714         2.7742040 1.4048282       1         TRUE
## P715         2.7742040 1.4048282       1         TRUE
## P716         2.7742040 1.4048282       1         TRUE
## P717         2.7742040 1.4048282       1         TRUE
## P718         2.7742040 1.4048282       1         TRUE
## P719         2.7742040 1.4048282       1         TRUE
## P720         2.7742040 1.4048282       1         TRUE
## P721         2.7742040 1.4048282       1         TRUE
## P722         2.7742040 1.4048282       1         TRUE
## P723         2.7742040 1.4048282       1         TRUE
## P724         2.7742040 1.4048282       1         TRUE
## P725         2.7742040 1.4048282       1         TRUE
## P726         2.7742040 1.4048282       1         TRUE
## P727         2.7742040 1.4048282       1         TRUE
## P728         2.7742040 1.4048282       1         TRUE
## P729         2.7742040 1.4048282       1         TRUE
## P730         2.7742040 1.4048282       1         TRUE
## P731         2.7742040 1.4048282       1         TRUE
## P732         2.7742040 1.4048282       1         TRUE
## P733         2.7742040 1.4048282       1         TRUE
## P734         2.7742040 1.4048282       1         TRUE
## P735         2.7742040 1.4048282       1         TRUE
## P736         2.7742040 1.4048282       1         TRUE
## P737         2.7742040 1.4048282       1         TRUE
## P738         2.7742040 1.4048282       1         TRUE
## P739         2.7742040 1.4048282       1         TRUE
## P740         2.7742040 1.4048282       1         TRUE
## P741         2.7742040 1.4048282       1         TRUE
## P742         2.7742040 1.4048282       1         TRUE
## P743         2.7742040 1.4048282       1         TRUE
## P744         2.7742040 1.4048282       1         TRUE
## P745         2.7742040 1.4048282       1         TRUE
## P746         2.7742040 1.4048282       1         TRUE
## P747         2.7742040 1.4048282       1         TRUE
## P748         2.7742040 1.4048282       1         TRUE
## P749         2.7742040 1.4048282       1         TRUE
## P750         2.7742040 1.4048282       1         TRUE
## P751         2.7742040 1.4048282       1         TRUE
## P752         2.7742040 1.4048282       1         TRUE
## P753         2.7742040 1.4048282       1         TRUE
## P754         2.7742040 1.4048282       1         TRUE
## P755         2.7742040 1.4048282       1         TRUE
## P756         2.7742040 1.4048282       1         TRUE
## P757         2.7742040 1.4048282       1         TRUE
## P758         2.7742040 1.4048282       1         TRUE
## P759         2.7742040 1.4048282       1         TRUE
## P760         2.7742040 1.4048282       1         TRUE
## P761         2.7742040 1.4048282       1         TRUE
## P762         2.7742040 1.4048282       1         TRUE
## P763         2.7742040 1.4048282       1         TRUE
## P764         2.7742040 1.4048282       1         TRUE
## P765         2.7742040 1.4048282       1         TRUE
## P766         2.7742040 1.4048282       1         TRUE
## P767         2.7742040 1.4048282       1         TRUE
## P768         2.7742040 1.4048282       1         TRUE
## P769         2.7742040 1.4048282       1         TRUE
## P770         2.7742040 1.4048282       1         TRUE
## P771         2.7742040 1.4048282       1         TRUE
## P772         2.7742040 1.4048282       1         TRUE
## P773         2.7742040 1.4048282       1         TRUE
## P774         2.7742040 1.4048282       1         TRUE
## P775         2.7742040 1.4048282       1         TRUE
## P776         2.7742040 1.4048282       1         TRUE
## P777         2.7742040 1.4048282       1         TRUE
## P778         2.7742040 1.4048282       1         TRUE
## P779         2.7742040 1.4048282       1         TRUE
## P780         2.7742040 1.4048282       1         TRUE
## P781         2.7742040 1.4048282       1         TRUE
## P782         2.7742040 1.4048282       1         TRUE
## P783         2.7742040 1.4048282       1         TRUE
## P784         2.7742040 1.4048282       1         TRUE
## P785         2.7742040 1.4048282       1         TRUE
## P786         2.7742040 1.4048282       1         TRUE
## P787         2.7742040 1.4048282       1         TRUE
## P788         2.7742040 1.4048282       1         TRUE
## P789         2.7742040 1.4048282       1         TRUE
## P790         2.7742040 1.4048282       1         TRUE
## P791         2.7742040 1.4048282       1         TRUE
## P792         2.7742040 1.4048282       1         TRUE
## P793         2.7742040 1.4048282       1         TRUE
## P794         2.7742040 1.4048282       1         TRUE
## P795         2.7742040 1.4048282       1         TRUE
## P796         2.7742040 1.4048282       1         TRUE
## P797         2.7742040 1.4048282       1         TRUE
## P798         2.7742040 1.4048282       1         TRUE
## P799         2.7742040 1.4048282       1         TRUE
## P800         2.7742040 1.4048282       1         TRUE
## P801         2.7742040 1.4048282       1         TRUE
## P802         2.7742040 1.4048282       1         TRUE
## P803         2.7742040 1.4048282       1         TRUE
## P804         2.7742040 1.4048282       1         TRUE
## P805         2.7742040 1.4048282       1         TRUE
## P806         2.7742040 1.4048282       1         TRUE
## P807         2.7742040 1.4048282       1         TRUE
## P808         2.7742040 1.4048282       1         TRUE
## P809         2.7742040 1.4048282       1         TRUE
## P810         2.7742040 1.4048282       1         TRUE
## P811         2.7742040 1.4048282       1         TRUE
## P812         2.7742040 1.4048282       1         TRUE
## P813         2.7742040 1.4048282       1         TRUE
## P814         2.7742040 1.4048282       1         TRUE
## P815         2.7742040 1.4048282       1         TRUE
## P816         2.7742040 1.4048282       1         TRUE
## P817         2.7742040 1.4048282       1         TRUE
## P818         2.7742040 1.4048282       1         TRUE
## P819         2.7742040 1.4048282       1         TRUE
## P820         2.7742040 1.4048282       1         TRUE
## P821         2.7742040 1.4048282       1         TRUE
## P822         2.7742040 1.4048282       1         TRUE
## P823         2.7742040 1.4048282       1         TRUE
## P824         2.7742040 1.4048282       1         TRUE
## P825         2.7742040 1.4048282       1         TRUE
## P826         2.7742040 1.4048282       1         TRUE
## P827         2.7742040 1.4048282       1         TRUE
## P828         2.7742040 1.4048282       1         TRUE
## P829         2.7742040 1.4048282       1         TRUE
## P830         2.7742040 1.4048282       1         TRUE
## P831         2.7742040 1.4048282       1         TRUE
## P832         2.7742040 1.4048282       1         TRUE
## P833         2.7742040 1.4048282       1         TRUE
## P834         2.7742040 1.4048282       1         TRUE
## P835         2.7742040 1.4048282       1         TRUE
## P836         2.7742040 1.4048282       1         TRUE
## P837         2.7742040 1.4048282       1         TRUE
## P838         2.7742040 1.4048282       1         TRUE
## P839         2.7742040 1.4048282       1         TRUE
## P840         2.7742040 1.4048282       1         TRUE
## P841         2.7742040 1.4048282       1         TRUE
## P842         2.7742040 1.4048282       1         TRUE
## P843         2.7742040 1.4048282       1         TRUE
## P844         2.7742040 1.4048282       1         TRUE
## P845         2.7742040 1.4048282       1         TRUE
## P846         2.7742040 1.4048282       1         TRUE
## P847         2.7742040 1.4048282       1         TRUE
## P848         2.7742040 1.4048282       1         TRUE
## P849         2.7742040 1.4048282       1         TRUE
## P850         2.7742040 1.4048282       1         TRUE
## P851         2.7742040 1.4048282       1         TRUE
## P852         2.7742040 1.4048282       1         TRUE
## P853         2.7742040 1.4048282       1         TRUE
## P854         2.7742040 1.4048282       1         TRUE
## P855         2.7742040 1.4048282       1         TRUE
## P856         2.7742040 1.4048282       1         TRUE
## P857         2.7742040 1.4048282       1         TRUE
## P858         2.7742040 1.4048282       1         TRUE
## P859         2.7742040 1.4048282       1         TRUE
## P860         2.7742040 1.4048282       1         TRUE
## P861         2.7742040 1.4048282       1         TRUE
## P862         2.7742040 1.4048282       1         TRUE
## P863         2.7742040 1.4048282       1         TRUE
## P864         2.7742040 1.4048282       1         TRUE
## P865         2.7742040 1.4048282       1         TRUE
## P866         2.7742040 1.4048282       1         TRUE
## P867         2.7742040 1.4048282       1         TRUE
## P868         2.7742040 1.4048282       1         TRUE
## P869         2.7742040 1.4048282       1         TRUE
## P870         2.7742040 1.4048282       1         TRUE
## P871         2.7742040 1.4048282       1         TRUE
## P872         2.7742040 1.4048282       1         TRUE
## P873         2.7742040 1.4048282       1         TRUE
## P874         2.7742040 1.4048282       1         TRUE
## P875         2.7742040 1.4048282       1         TRUE
## P876         2.7742040 1.4048282       1         TRUE
## P877         2.7742040 1.4048282       1         TRUE
## P878         2.7742040 1.4048282       1         TRUE
## P879         2.7742040 1.4048282       1         TRUE
## P880         2.7742040 1.4048282       1         TRUE
## P881         2.7742040 1.4048282       1         TRUE
## P882         2.7742040 1.4048282       1         TRUE
## P883         2.7742040 1.4048282       1         TRUE
## P884         2.7742040 1.4048282       1         TRUE
## P885         2.7742040 1.4048282       1         TRUE
## P886         2.7742040 1.4048282       1         TRUE
## P887         2.7742040 1.4048282       1         TRUE
## P888         2.7742040 1.4048282       1         TRUE
## P889         2.7742040 1.4048282       1         TRUE
## P890         2.7742040 1.4048282       1         TRUE
## P891         2.7742040 1.4048282       1         TRUE
## P892         2.7742040 1.4048282       1         TRUE
## P893         2.7742040 1.4048282       1         TRUE
## P894         2.7742040 1.4048282       1         TRUE
## P895         2.7742040 1.4048282       1         TRUE
## P896         2.7742040 1.4048282       1         TRUE
## P897         2.7742040 1.4048282       1         TRUE
## P898         2.7742040 1.4048282       1         TRUE
## P899         2.7742040 1.4048282       1         TRUE
## P900         2.7742040 1.4048282       1         TRUE
## P901         2.7742040 1.4048282       1         TRUE
## P902         2.7742040 1.4048282       1         TRUE
## P903         2.7742040 1.4048282       1         TRUE
## P904         2.7742040 1.4048282       1         TRUE
## P905         2.7742040 1.4048282       1         TRUE
## P906         2.7742040 1.4048282       1         TRUE
## P907         2.7742040 1.4048282       1         TRUE
## P908         2.7742040 1.4048282       1         TRUE
## P909         2.7742040 1.4048282       1         TRUE
## P910         2.7742040 1.4048282       1         TRUE
## P911         2.7742040 1.4048282       1         TRUE
## P912         2.7742040 1.4048282       1         TRUE
## P913         2.7742040 1.4048282       1         TRUE
## P914         2.7742040 1.4048282       1         TRUE
## P915         2.7742040 1.4048282       1         TRUE
## P916         2.7742040 1.4048282       1         TRUE
## P917         2.7742040 1.4048282       1         TRUE
## P918         2.7742040 1.4048282       1         TRUE
## P919         2.7742040 1.4048282       1         TRUE
## P920         2.7742040 1.4048282       1         TRUE
## P921         2.7742040 1.4048282       1         TRUE
## P922         2.7742040 1.4048282       1         TRUE
## P923         2.7742040 1.4048282       1         TRUE
## P924         2.7742040 1.4048282       1         TRUE
## P925         2.7742040 1.4048282       1         TRUE
## P926         2.7742040 1.4048282       1         TRUE
## P927         2.7742040 1.4048282       1         TRUE
## P928         2.7742040 1.4048282       1         TRUE
## P929         2.7742040 1.4048282       1         TRUE
## P930         2.7742040 1.4048282       1         TRUE
## P931         2.7742040 1.4048282       1         TRUE
## P932         2.7742040 1.4048282       1         TRUE
## P933         2.7742040 1.4048282       1         TRUE
## P934         2.7742040 1.4048282       1         TRUE
## P935         2.7742040 1.4048282       1         TRUE
## P936         2.7742040 1.4048282       1         TRUE
## P937         2.7742040 1.4048282       1         TRUE
## P938         2.7742040 1.4048282       1         TRUE
## P939         2.7742040 1.4048282       1         TRUE
## P940         2.7742040 1.4048282       1         TRUE
## P941         2.7742040 1.4048282       1         TRUE
## P942         2.7742040 1.4048282       1         TRUE
## P943         2.7742040 1.4048282       1         TRUE
## P944         2.7742040 1.4048282       1         TRUE
## P945         2.7742040 1.4048282       1         TRUE
## P946         2.7742040 1.4048282       1         TRUE
## P947         2.7742040 1.4048282       1         TRUE
## P948         2.7742040 1.4048282       1         TRUE
## P949         2.7742040 1.4048282       1         TRUE
## P950         2.7742040 1.4048282       1         TRUE
## P951         2.7742040 1.4048282       1         TRUE
## P952         2.7742040 1.4048282       1         TRUE
## P953         2.7742040 1.4048282       1         TRUE
## P954         2.7742040 1.4048282       1         TRUE
## P955         2.7742040 1.4048282       1         TRUE
## P956         2.7742040 1.4048282       1         TRUE
## P957         2.7742040 1.4048282       1         TRUE
## P958         2.7742040 1.4048282       1         TRUE
## P959         2.7742040 1.4048282       1         TRUE
## P960         2.7742040 1.4048282       1         TRUE
## P961         2.7742040 1.4048282       1         TRUE
## P962         2.7742040 1.4048282       1         TRUE
## P963         2.7742040 1.4048282       1         TRUE
## P964         2.7742040 1.4048282       1         TRUE
## P965         2.7742040 1.4048282       1         TRUE
## P966         2.7742040 1.4048282       1         TRUE
## P967         2.7742040 1.4048282       1         TRUE
## P968         2.7742040 1.4048282       1         TRUE
## P969         2.7742040 1.4048282       1         TRUE
## P970         2.7742040 1.4048282       1         TRUE
## P971         2.7742040 1.4048282       1         TRUE
## P972         2.7742040 1.4048282       1         TRUE
## P973         2.7742040 1.4048282       1         TRUE
## P974         2.7742040 1.4048282       1         TRUE
## P975         2.7742040 1.4048282       1         TRUE
## P976         2.7742040 1.4048282       1         TRUE
## P977         2.7742040 1.4048282       1         TRUE
## P978         2.7742040 1.4048282       1         TRUE
## P979         2.7742040 1.4048282       1         TRUE
## P980         2.7742040 1.4048282       1         TRUE
## P981         2.7742040 1.4048282       1         TRUE
## P982         2.7742040 1.4048282       1         TRUE
## P983         2.7742040 1.4048282       1         TRUE
## P984         2.7742040 1.4048282       1         TRUE
## P985         2.7742040 1.4048282       1         TRUE
## P986         2.7742040 1.4048282       1         TRUE
## P987         2.7742040 1.4048282       1         TRUE
## P988         2.7742040 1.4048282       1         TRUE
## P989         2.7742040 1.4048282       1         TRUE
## P990         2.7742040 1.4048282       1         TRUE
## P991         2.7742040 1.4048282       1         TRUE
## P992         2.7742040 1.4048282       1         TRUE
## P993         2.7742040 1.4048282       1         TRUE
## P994         2.7742040 1.4048282       1         TRUE
## P995         2.7742040 1.4048282       1         TRUE
## P996         2.7742040 1.4048282       1         TRUE
## P997         2.7742040 1.4048282       1         TRUE
## P998         2.7742040 1.4048282       1         TRUE
## P999         2.7742040 1.4048282       1         TRUE
## P1000        2.7742040 1.4048282       1         TRUE
bireypar$thetapar
## $NAgroup1
##         P4         P5         P6         P7         P8         P9        P10 
## -1.6015334 -1.6015334 -1.6015334 -1.6015334 -1.6015334 -1.6015334 -1.6015334 
##        P11        P12        P13        P14        P15        P16        P17 
## -1.6015334 -0.4743284 -0.4743284 -0.4743284 -0.4743284 -0.4743284 -0.4743284 
##        P18        P19        P20        P21        P22        P23        P24 
## -0.4743284 -0.4743284 -0.4743284 -0.4743284 -0.4743284 -1.6015334 -0.4743284 
##        P25        P26        P27        P28        P29        P30        P31 
## -0.4743284 -0.4743284 -0.4743284  0.4808631  0.4808631  0.4808631  0.4808631 
##        P32        P33        P34        P35        P36        P37        P38 
## -1.6015334 -0.4743284 -0.4743284 -0.4743284 -0.4743284 -0.4743284 -0.4743284 
##        P39        P40        P41        P42        P43        P44        P45 
## -0.4743284 -0.4743284  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631 
##        P46        P47        P48        P49        P50        P51        P52 
##  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631 
##        P53        P54        P55        P56        P57        P58        P59 
##  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631 
##        P60        P61        P62        P63        P64        P65        P66 
##  0.4808631  0.4808631  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474 
##        P67        P68        P69        P70        P71        P72        P73 
##  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474 
##        P74        P75        P76        P77        P78        P79        P80 
##  1.5999474  1.5999474  1.5999474 -1.6015334 -1.6015334 -1.6015334 -1.6015334 
##        P81        P82        P83        P84        P85        P86        P87 
## -1.6015334 -1.6015334 -1.6015334 -1.6015334 -1.6015334 -1.6015334 -0.4743284 
##        P88        P89        P90        P91        P92        P93        P94 
## -0.4743284 -0.4743284 -0.4743284 -0.4743284 -0.4743284 -0.4743284 -0.4743284 
##        P95        P96        P97        P98        P99       P100       P101 
## -0.4743284 -0.4743284 -0.4743284 -0.4743284 -0.4743284 -0.4743284 -0.4743284 
##       P102       P103       P104       P105       P106       P107       P108 
## -0.4743284 -0.4743284 -0.4743284 -0.4743284 -0.4743284 -0.4743284 -0.4743284 
##       P109       P110       P111       P112       P113       P114       P115 
## -0.4743284 -0.4743284 -0.4743284 -0.4743284 -0.4743284 -0.4743284 -0.4743284 
##       P116       P117       P118       P119       P120       P121       P122 
## -0.4743284 -0.4743284 -0.4743284 -0.4743284 -0.4743284 -0.4743284 -0.4743284 
##       P123       P124       P125       P126       P127       P128       P129 
## -0.4743284 -0.4743284 -0.4743284 -0.4743284 -0.4743284 -0.4743284 -0.4743284 
##       P130       P131       P132       P133       P134       P135       P136 
##  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631 
##       P137       P138       P139       P140       P141       P142       P143 
##  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631 
##       P144       P145       P146       P147       P148       P149       P150 
##  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631 
##       P151       P152       P153       P154       P155       P156       P157 
##  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631 
##       P158       P159       P160       P161       P162       P163       P164 
##  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631 
##       P165       P166       P167       P168       P169       P170       P171 
##  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631 
##       P172       P173       P174       P175       P176       P177       P178 
##  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631 
##       P179       P180       P181       P182       P183       P184       P185 
##  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631 
##       P186       P187       P188       P189       P190       P191       P192 
##  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631 
##       P193       P194       P195       P196       P197       P198       P199 
##  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631 
##       P200       P201       P202       P203       P204       P205       P206 
##  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631 
##       P207       P208       P209       P210       P211       P212       P213 
##  0.4808631  0.4808631  0.4808631  0.4808631 -0.4743284 -0.4743284 -0.4743284 
##       P214       P215       P216       P217       P218       P219       P220 
##  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631 
##       P221       P222       P223       P224       P225       P226       P227 
##  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631 
##       P228       P229       P230       P231       P232       P233       P234 
##  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631 
##       P235       P236       P237       P238       P239       P240       P241 
##  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631 
##       P242       P243       P244       P245       P246       P247       P248 
##  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631 
##       P249       P250       P251       P252       P253       P254       P255 
##  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631 
##       P256       P257       P258       P259       P260       P261       P262 
##  0.4808631  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474 
##       P263       P264       P265       P266       P267       P268       P269 
##  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474 
##       P270       P271       P272       P273       P274       P275       P276 
##  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474 
##       P277       P278       P279       P280       P281       P282       P283 
##  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474 
##       P284       P285       P286       P287       P288       P289       P290 
##  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474 
##       P291       P292       P293       P294       P295       P296       P297 
##  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474 
##       P298       P299       P300       P301       P302       P303       P304 
##  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474 
##       P305       P306       P307       P308       P309       P310       P311 
##  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474 
##       P312       P313       P314       P315       P316       P317       P318 
##  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474 
##       P319       P320       P321       P322       P323       P324       P325 
##  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474 
##       P326       P327       P328       P329       P330       P331       P332 
##  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474 
##       P333       P334       P335       P336       P337       P338       P339 
##  1.5999474  1.5999474  1.5999474  1.5999474 -0.4743284 -0.4743284 -0.4743284 
##       P340       P341       P342       P343       P344       P345       P346 
## -0.4743284 -0.4743284 -0.4743284 -0.4743284 -0.4743284 -0.4743284 -0.4743284 
##       P347       P348       P349       P350       P351       P352       P353 
## -0.4743284 -0.4743284 -0.4743284 -0.4743284 -0.4743284 -0.4743284  0.4808631 
##       P354       P355       P356       P357       P358       P359       P360 
##  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631 
##       P361       P362       P363       P364       P365       P366       P367 
##  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631 
##       P368       P369       P370       P371       P372       P373       P374 
##  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631 
##       P375       P376       P377       P378       P379       P380       P381 
##  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631 
##       P382       P383       P384       P385       P386       P387       P388 
##  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631 
##       P389       P390       P391       P392       P393       P394       P395 
##  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631 
##       P396       P397       P398       P399       P400       P401       P402 
##  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631 
##       P403       P404       P405       P406       P407       P408       P409 
##  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631 
##       P410       P411       P412       P413       P414       P415       P416 
##  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631 
##       P417       P418       P419       P420       P421       P422       P423 
##  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631 
##       P424       P425       P426       P427       P428       P429       P430 
##  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631  1.5999474 
##       P431       P432       P433       P434       P435       P436       P437 
##  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474 
##       P438       P439       P440       P441       P442       P443       P444 
##  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474 
##       P445       P446       P447       P448       P449       P450       P451 
##  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474 
##       P452       P453       P454       P455       P456       P457       P458 
##  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474 
##       P459       P460       P461       P462       P463       P464       P465 
##  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474 
##       P466       P467       P468       P469       P470       P471       P472 
##  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474 
##       P473       P474       P475       P476       P477       P478       P479 
##  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474 
##       P480       P481       P482       P483       P484       P485       P486 
##  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474 
##       P487       P488       P489       P490       P491       P492       P493 
##  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474 
##       P494       P495       P496       P497       P498       P499       P500 
##  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474 
##       P501       P502       P503       P504       P505       P506       P507 
##  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474 
##       P508       P509       P510       P511       P512       P513       P514 
##  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474 
##       P515       P516       P517       P518       P519       P520       P521 
##  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474 
##       P522       P523       P524       P525       P526       P527       P528 
##  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474 
##       P529       P530       P531       P532       P533       P534       P535 
##  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474 
##       P536       P537       P538       P539       P540       P541       P542 
##  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474 
##       P543       P544       P545       P546       P547       P548       P549 
##  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474 
##       P550       P551       P552       P553       P554       P555       P556 
##  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474 
##       P557       P558       P559       P560       P561       P562       P563 
##  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474 
##       P564       P565       P566       P567       P568       P569       P570 
##  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474 
##       P571       P572       P573       P574       P575       P576       P577 
##  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474 
##       P578       P579       P580       P581       P582       P583       P584 
##  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474 
##       P585       P586       P587       P588       P589       P590       P591 
##  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474 
##       P592       P593       P594       P595       P596       P597       P598 
##  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474 
##       P599       P600       P601       P602       P603       P604       P605 
##  1.5999474  1.5999474  1.5999474  1.5999474  0.4808631  0.4808631  0.4808631 
##       P606       P607       P608       P609       P610       P611       P612 
##  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631  0.4808631 
##       P613       P614       P615       P616       P617       P618       P619 
##  0.4808631  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474 
##       P620       P621       P622       P623       P624       P625       P626 
##  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474 
##       P627       P628       P629       P630       P631       P632       P633 
##  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474 
##       P634       P635       P636       P637       P638       P639       P640 
##  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474 
##       P641       P642       P643       P644       P645       P646       P647 
##  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474 
##       P648       P649       P650       P651       P652       P653       P654 
##  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474 
##       P655       P656       P657       P658       P659       P660       P661 
##  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474 
##       P662       P663       P664       P665       P666       P667       P668 
##  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474 
##       P669       P670       P671       P672       P673       P674       P675 
##  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474 
##       P676       P677       P678       P679       P680       P681       P682 
##  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474 
##       P683       P684       P685       P686       P687       P688       P689 
##  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474 
##       P690       P691       P692       P693       P694       P695       P696 
##  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474 
##       P697       P698       P699       P700       P701       P702 
##  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474  1.5999474
LSAT2$gender
##    [1] F F F M F M M M F F M M M F M F M F F F F M F F F F M M F M F M F M M F F
##   [38] F F M F M M F F F F M F F M F F F F M M F M F F M M F F M F F F F M F F F
##   [75] F M M F M M M M F M M M F F M F M M F M M F F M F F F M M F M M F F F M M
##  [112] M M F F M M M F M F M F F F M M F F F M F M M M M M M M F M M M F M M M F
##  [149] M M F M F M F F F F F F F M M M F M F F M F M M M M F F F M M M M F F F F
##  [186] M M F F M M F F M M F F M F M M M M F M M M F M M M F F M M M M F M F M F
##  [223] F F M M F F M F F M M F M M M M M F F M F M F F F M M M F M M F F F F F M
##  [260] F M M M F M F M F F F F F F M F M F F F F M M F F F M M M F M F F F F F M
##  [297] M M F F M M F M F F M F F F M F M F M M M M F F F M F F M F F M F M M M F
##  [334] F F F M F F F F M M F M F F F M F F F M F F M F F F M M F F F M F M F M F
##  [371] F F M M F F M F F M F M M M M M M M M F M F F F F F F F M M F F F F F F M
##  [408] F M F M M M M M F M F F F F F F F F F M M F F F M M F M F M F M F F F M M
##  [445] F M M M M M M F M M M F M M F M M F M F F M M F M F F F M M F F F F M F M
##  [482] M M M F M M F M M F M F M M M M F F F M M M M F F F F M F M F M F M M M F
##  [519] M M M M F M F M F F F F M M M F F M M M M F F F M M M F F M M F M F M M M
##  [556] F M M M M F M M F M M M M M F M F M F F M F M M F F M F F M F F M M F F M
##  [593] F M F M F F M M M M M F F F F M F M F F M F M M M F M M M M M M M F F F F
##  [630] F F M F M F F F M M M M M F M M F F M F M F F F F M M M M F M F F M F F F
##  [667] F F M M M F F F M M M M F M F F F M F M M F M F M F F M M M M M M M M F F
##  [704] F M F F F M M F M F M F M M M F F M M M M M F F M F M F F F F F M M F M F
##  [741] F F M F F F F M F M M M F F F M M F M F M F M M M M M M M M F F M F F M F
##  [778] F M M F F F F F F M M M M F M F M F F F M M M F F M M F F F F F F F F F F
##  [815] M F M F M M F M M F F M M F M F M M M F F M M M F F M F M M M M F M M F F
##  [852] M M F F F F F F F F F F M F F F M M M M M M M M F F M M F M F F F F F F M
##  [889] M F F M M F F F M F F M M M F F M M M F F M M F F F M M F F M F F M F M F
##  [926] F M M F M M M M M M M F F M F M M F F M F M M F F F M F M M M F F F F F F
##  [963] F M M M F F F F M F M M F F M F M F M M M F M F F M M M F M F M F F M M M
## [1000] M
## Levels: F M
LSAT2$theta <- bireypar$theta.table[,1]
summary (aov(LSAT2$theta ~ LSAT2$gender))
##               Df Sum Sq Mean Sq F value Pr(>F)
## LSAT2$gender   1    0.1  0.0736   0.056  0.813
## Residuals    998 1307.6  1.3102

CİNSİYETE GÖRE YETENEK DÜZEYLERİ FARKLILAŞMAMIŞTIR.

BOYUT ANALİZLERİ

PC<- princals(LSAT)
plot(PC)

  1. MADDE BİRAZ FARKLILAŞMIŞ TEKRAR İNCELENEBİLİR.
fit_1m<- mirt(LSAT, 1, verbose = FALSE)
fit_2m<- mirt(LSAT, 2, verbose = FALSE)
anova(fit_1m, fit_2m)
##             AIC    SABIC       HQ      BIC    logLik    X2 df     p
## fit_1m 4953.307 4970.624 4971.960 5002.384 -2466.653               
## fit_2m 4958.574 4982.817 4984.688 5027.282 -2465.287 2.733  4 0.603

Kİ KARE ANLAMSIZ VE UYUM DEĞERLERİ TEK BOYUT İÇİN DAHA KÜÇÜK O YÜZDEN TEK BOYUTLU OLDUĞU VARSAYILABİLİR

library (EGAnet)
## 
## EGAnet (version 2.3.0) 
## 
## For help getting started, see <https://r-ega.net> 
## 
## For bugs and errors, submit an issue to <https://github.com/hfgolino/EGAnet/issues>
## 
## Attaching package: 'EGAnet'
## The following object is masked from 'package:ltm':
## 
##     information
EGA(LSAT, graph=TRUE)

## Model: GLASSO (EBIC with gamma = 0.5)
## Correlations: auto
## Lambda: 0.0322507495249668 (n = 100, ratio = 0.1)
## 
## Number of nodes: 5
## Number of edges: 9
## Edge density: 0.900
## 
## Non-zero edge weights: 
##      M    SD   Min   Max
##  0.101 0.054 0.030 0.170
## 
## ----
## 
## Algorithm:  Louvain
## 
## Number of communities:  1
## 
## Item 1 Item 2 Item 3 Item 4 Item 5 
##      1      1      1      1      1 
## 
## ----
## 
## Unidimensional Method: Louvain
## Unidimensional: Yes
## 
## ----
## 
## TEFI: 0

2PL MODEL

fit2pl <-ltm(LSAT ~ z1)
coef(fit2pl)
##            Dffclt    Dscrmn
## Item 1 -3.3597341 0.8253715
## Item 2 -1.3696497 0.7229499
## Item 3 -0.2798983 0.8904748
## Item 4 -1.8659189 0.6885502
## Item 5 -3.1235725 0.6574516

EN KOLAY (1) VE EN ZOR(3) MADDELER DEĞİŞMEDİ AMA KATSAYILARI BURADA DAHA BÜYÜK.

plot(fit2pl, items=1:5, legend=TRUE)

factor.scores(fit2pl)
## 
## Call:
## ltm(formula = LSAT ~ z1)
## 
## Scoring Method: Empirical Bayes
## 
## Factor-Scores for observed response patterns:
##    Item 1 Item 2 Item 3 Item 4 Item 5 Obs     Exp     z1 se.z1
## 1       0      0      0      0      0   3   2.277 -1.895 0.795
## 2       0      0      0      0      1   6   5.861 -1.479 0.796
## 3       0      0      0      1      0   2   2.596 -1.460 0.796
## 4       0      0      0      1      1  11   8.942 -1.041 0.800
## 5       0      0      1      0      0   1   0.696 -1.331 0.797
## 6       0      0      1      0      1   1   2.614 -0.911 0.802
## 7       0      0      1      1      0   3   1.179 -0.891 0.803
## 8       0      0      1      1      1   4   5.955 -0.463 0.812
## 9       0      1      0      0      0   1   1.840 -1.438 0.796
## 10      0      1      0      0      1   8   6.431 -1.019 0.801
## 11      0      1      0      1      1  16  13.577 -0.573 0.809
## 12      0      1      1      0      1   3   4.370 -0.441 0.813
## 13      0      1      1      1      0   2   2.000 -0.420 0.813
## 14      0      1      1      1      1  15  13.920  0.023 0.828
## 15      1      0      0      0      0  10   9.480 -1.373 0.797
## 16      1      0      0      0      1  29  34.616 -0.953 0.802
## 17      1      0      0      1      0  14  15.590 -0.933 0.802
## 18      1      0      0      1      1  81  76.562 -0.506 0.811
## 19      1      0      1      0      0   3   4.659 -0.803 0.804
## 20      1      0      1      0      1  28  24.989 -0.373 0.815
## 21      1      0      1      1      0  15  11.463 -0.352 0.815
## 22      1      0      1      1      1  80  83.541  0.093 0.831
## 23      1      1      0      0      0  16  11.254 -0.911 0.802
## 24      1      1      0      0      1  56  56.105 -0.483 0.812
## 25      1      1      0      1      0  21  25.646 -0.463 0.812
## 26      1      1      0      1      1 173 173.310 -0.022 0.827
## 27      1      1      1      0      0  11   8.445 -0.329 0.816
## 28      1      1      1      0      1  61  62.520  0.117 0.832
## 29      1      1      1      1      0  28  29.127  0.139 0.833
## 30      1      1      1      1      1 298 296.693  0.606 0.855

Z1 DEĞERLERİ YETENEK PUANI OLARAK DEĞERLENDİRİLEBİLİR.

irtpar <- ltm (LSAT ~ z1) #ırt par.
fapar <-ltm (LSAT ~ z1, IRT.param=FALSE) #faktör par

round(cbind(coef(irtpar), coef(fapar)),2)
##        Dffclt Dscrmn (Intercept)   z1
## Item 1  -3.36   0.83        2.77 0.83
## Item 2  -1.37   0.72        0.99 0.72
## Item 3  -0.28   0.89        0.25 0.89
## Item 4  -1.87   0.69        1.28 0.69
## Item 5  -3.12   0.66        2.05 0.66

FAKTÖR YÜKÜ VE AYIRT EDİCİLİK AYNI DEĞERLER. INTERCEPT (d) MADDE ORTALAMASIDIR. b ve a NIN ÇARPIMININ -1 ÇARPIMI (-A*B) İNTERCEPT(ORTALAMA) DEĞERİNİ VERİR.

irt_score<- factor.scores(irtpar)$score.dat$z1
 fa_score <-factor.scores(fapar)$score.dat$z1
identical (irt_score, fa_score)
## [1] TRUE

HER İKİ YÖNTEMDE DE AYNI SONUCU VERİYOR.