library(tidyverse)Registered S3 methods overwritten by 'dbplyr':
method from
print.tbl_lazy
print.tbl_sql
── Attaching packages ───────────────────────── tidyverse 1.3.2 ──✔ ggplot2 3.4.0 ✔ purrr 0.3.5
✔ tibble 3.1.8 ✔ dplyr 1.0.10
✔ tidyr 1.2.1 ✔ stringr 1.4.1
✔ readr 2.1.3 ✔ forcats 0.5.2 ── Conflicts ──────────────────────────── tidyverse_conflicts() ──
✖ dplyr::filter() masks stats::filter()
✖ dplyr::lag() masks stats::lag()library(lme4)Loading required package: Matrix
Attaching package: ‘Matrix’
The following objects are masked from ‘package:tidyr’:
expand, pack, unpackPredictions as of Wed Dec 14 19:06:10 2022.
dat <- read.csv("https://fixturedownload.com/download/fifa-world-cup-2022-UTC.csv")
datscores <- str_split_fixed(dat$Result, " - ", 2) |>
as.data.frame() |>
rename(Home.Score = V1,
Away.Score = V2) |>
mutate_all(as.numeric)
dat2 <- bind_cols(dat, scores)
dat2dat_long <- dat2 |>
rename(
Team.Home = Home.Team,
Team.Away = Away.Team,
Score.Home = Home.Score,
Score.Away = Away.Score
) |>
pivot_longer(
cols = c("Score.Home", "Score.Away"),
names_prefix = "Score.",
names_to = "Where",
values_to = "Score"
) |>
mutate(
Team = case_when(Where == "Home" ~ Team.Home,
Where == "Away" ~ Team.Away),
OtherTeam = case_when(Where == "Home" ~ Team.Away,
Where == "Away" ~ Team.Home),
Team = ifelse(Team == "To be announced", NA, Team),
OtherTeam = ifelse(OtherTeam == "To be announced", NA, OtherTeam),
) |>
select(-Result)
dat_longdat_fit <- dat_long |>
filter(!is.na(Score))mod <- glmer(Score ~ 0 + Team + (1|OtherTeam),
data = dat_fit,
verbose=TRUE,
family = poisson)start par. = 1 fn = 357.18
At return
eval: 19 fn: 337.46275 par: 0.225800
(NM) 20: f = 337.463 at 0.2258 0.702708 0.0507917 -1.09859 0.415499 0.24502 -0.31285 0.0520085 0.0476584 -1.07562 0.263967 0.923533 0.832081 0.66987 0.529278 0.322575 0.18692 0.258024 -0.395482 -0.0177503 0.699877 -0.281564 0.889127 -1.07895 0.0455516 0.239119 0.533757 0.817539 0.213697 -1.1029 -0.466933 -0.305832 -1.09727
(NM) 40: f = 337.463 at 0.2258 0.702708 0.0507917 -1.09859 0.415499 0.24502 -0.31285 0.0520085 0.0476584 -1.07562 0.263967 0.923533 0.832081 0.66987 0.529278 0.322575 0.18692 0.258024 -0.395482 -0.0177503 0.699877 -0.281564 0.889127 -1.07895 0.0455516 0.239119 0.533757 0.817539 0.213697 -1.1029 -0.466933 -0.305832 -1.09727
(NM) 60: f = 337.463 at 0.2258 0.702708 0.0507917 -1.09859 0.415499 0.24502 -0.31285 0.0520085 0.0476584 -1.07562 0.263967 0.923533 0.832081 0.66987 0.529278 0.322575 0.18692 0.258024 -0.395482 -0.0177503 0.699877 -0.281564 0.889127 -1.07895 0.0455516 0.239119 0.533757 0.817539 0.213697 -1.1029 -0.466933 -0.305832 -1.09727
(NM) 80: f = 337.463 at 0.2258 0.702708 0.0507917 -1.09859 0.415499 0.24502 -0.31285 0.0520085 0.0476584 -1.07562 0.263967 0.923533 0.832081 0.66987 0.529278 0.322575 0.18692 0.258024 -0.395482 -0.0177503 0.699877 -0.281564 0.889127 -1.07895 0.0455516 0.239119 0.533757 0.817539 0.213697 -1.1029 -0.466933 -0.305832 -1.09727
(NM) 100: f = 337.463 at 0.2258 0.702708 0.0507917 -1.09859 0.415499 0.24502 -0.31285 0.0520085 0.0476584 -1.07562 0.263967 0.923533 0.832081 0.66987 0.529278 0.322575 0.18692 0.258024 -0.395482 -0.0177503 0.699877 -0.281564 0.889127 -1.07895 0.0455516 0.239119 0.533757 0.817539 0.213697 -1.1029 -0.466933 -0.305832 -1.09727
(NM) 120: f = 337.463 at 0.2258 0.702708 0.0507917 -1.09859 0.415499 0.24502 -0.31285 0.0520085 0.0476584 -1.07562 0.263967 0.923533 0.832081 0.66987 0.529278 0.322575 0.18692 0.258024 -0.395482 -0.0177503 0.699877 -0.281564 0.889127 -1.07895 0.0455516 0.239119 0.533757 0.817539 0.213697 -1.1029 -0.466933 -0.305832 -1.09727
(NM) 140: f = 337.463 at 0.2258 0.702708 0.0507917 -1.09859 0.415499 0.24502 -0.31285 0.0520085 0.0476584 -1.07562 0.263967 0.923533 0.832081 0.66987 0.529278 0.322575 0.18692 0.258024 -0.395482 -0.0177503 0.699877 -0.281564 0.889127 -1.07895 0.0455516 0.239119 0.533757 0.817539 0.213697 -1.1029 -0.466933 -0.305832 -1.09727
(NM) 160: f = 337.463 at 0.2258 0.702708 0.0507917 -1.09859 0.415499 0.24502 -0.31285 0.0520085 0.0476584 -1.07562 0.263967 0.923533 0.832081 0.66987 0.529278 0.322575 0.18692 0.258024 -0.395482 -0.0177503 0.699877 -0.281564 0.889127 -1.07895 0.0455516 0.239119 0.533757 0.817539 0.213697 -1.1029 -0.466933 -0.305832 -1.09727
(NM) 180: f = 337.463 at 0.2258 0.702708 0.0507917 -1.09859 0.415499 0.24502 -0.31285 0.0520085 0.0476584 -1.07562 0.263967 0.923533 0.832081 0.66987 0.529278 0.322575 0.18692 0.258024 -0.395482 -0.0177503 0.699877 -0.281564 0.889127 -1.07895 0.0455516 0.239119 0.533757 0.817539 0.213697 -1.1029 -0.466933 -0.305832 -1.09727
(NM) 200: f = 337.463 at 0.2258 0.702708 0.0507917 -1.09859 0.415499 0.24502 -0.31285 0.0520085 0.0476584 -1.07562 0.263967 0.923533 0.832081 0.66987 0.529278 0.322575 0.18692 0.258024 -0.395482 -0.0177503 0.699877 -0.281564 0.889127 -1.07895 0.0455516 0.239119 0.533757 0.817539 0.213697 -1.1029 -0.466933 -0.305832 -1.09727
(NM) 220: f = 337.447 at 0.232467 0.695435 0.0506384 -1.0905 0.406413 0.228561 -0.294571 0.0535627 0.0391882 -1.05015 0.244503 0.904014 0.839131 0.663926 0.530653 0.322266 0.173017 0.264996 -0.391279 -0.0167018 0.691061 -0.284075 0.880531 -1.07856 0.0413176 0.227333 0.529143 0.811577 0.211663 -1.10137 -0.486023 -0.324948 -1.0891
(NM) 240: f = 337.447 at 0.232467 0.695435 0.0506384 -1.0905 0.406413 0.228561 -0.294571 0.0535627 0.0391882 -1.05015 0.244503 0.904014 0.839131 0.663926 0.530653 0.322266 0.173017 0.264996 -0.391279 -0.0167018 0.691061 -0.284075 0.880531 -1.07856 0.0413176 0.227333 0.529143 0.811577 0.211663 -1.10137 -0.486023 -0.324948 -1.0891
(NM) 260: f = 337.447 at 0.232467 0.695435 0.0506384 -1.0905 0.406413 0.228561 -0.294571 0.0535627 0.0391882 -1.05015 0.244503 0.904014 0.839131 0.663926 0.530653 0.322266 0.173017 0.264996 -0.391279 -0.0167018 0.691061 -0.284075 0.880531 -1.07856 0.0413176 0.227333 0.529143 0.811577 0.211663 -1.10137 -0.486023 -0.324948 -1.0891
(NM) 280: f = 337.447 at 0.232467 0.695435 0.0506384 -1.0905 0.406413 0.228561 -0.294571 0.0535627 0.0391882 -1.05015 0.244503 0.904014 0.839131 0.663926 0.530653 0.322266 0.173017 0.264996 -0.391279 -0.0167018 0.691061 -0.284075 0.880531 -1.07856 0.0413176 0.227333 0.529143 0.811577 0.211663 -1.10137 -0.486023 -0.324948 -1.0891
(NM) 300: f = 337.44 at 0.223277 0.694987 0.0545978 -1.09449 0.407133 0.217669 -0.324271 0.0474314 0.0437378 -1.09275 0.260786 0.912802 0.817086 0.663228 0.523964 0.314254 0.182252 0.247472 -0.4048 -0.0322079 0.696476 -0.293473 0.881957 -1.07383 0.0416812 0.243626 0.534207 0.815827 0.205384 -1.13423 -0.464731 -0.30748 -1.09344
(NM) 320: f = 337.439 at 0.22807 0.696984 0.0455107 -1.099 0.406799 0.249013 -0.307212 0.0448719 0.0396526 -1.05723 0.251881 0.91499 0.824891 0.66342 0.520003 0.320065 0.177066 0.254964 -0.399441 -0.0247803 0.69553 -0.29135 0.881593 -1.07137 0.0377773 0.225969 0.527304 0.808519 0.211691 -1.08571 -0.477243 -0.317639 -1.0863
(NM) 340: f = 337.438 at 0.231077 0.691003 0.040828 -1.10153 0.43022 0.243925 -0.306999 0.0547226 0.0334009 -1.06689 0.256597 0.90917 0.826707 0.652373 0.52959 0.312793 0.177983 0.253459 -0.399516 -0.0290388 0.68324 -0.2918 0.880039 -1.0751 0.0476904 0.222951 0.522537 0.807738 0.194735 -1.11139 -0.477696 -0.327372 -1.0841
(NM) 360: f = 337.425 at 0.22598 0.689219 0.044401 -1.09487 0.401639 0.24536 -0.320214 0.0453787 0.029694 -1.07257 0.2578 0.911848 0.823534 0.658165 0.515491 0.307551 0.177134 0.245722 -0.40255 -0.0338112 0.690519 -0.293602 0.872565 -1.06928 0.0408939 0.225553 0.522591 0.804267 0.205666 -1.12072 -0.472451 -0.313816 -1.09268
(NM) 380: f = 337.425 at 0.22598 0.689219 0.044401 -1.09487 0.401639 0.24536 -0.320214 0.0453787 0.029694 -1.07257 0.2578 0.911848 0.823534 0.658165 0.515491 0.307551 0.177134 0.245722 -0.40255 -0.0338112 0.690519 -0.293602 0.872565 -1.06928 0.0408939 0.225553 0.522591 0.804267 0.205666 -1.12072 -0.472451 -0.313816 -1.09268
(NM) 400: f = 337.422 at 0.229401 0.684242 0.0455443 -1.08871 0.401733 0.210916 -0.317769 0.0468532 0.0285248 -1.08339 0.251694 0.900849 0.821048 0.655941 0.526109 0.312177 0.173647 0.245584 -0.402939 -0.0281084 0.68272 -0.291824 0.869488 -1.08 0.0435085 0.227732 0.523967 0.80743 0.199479 -1.14716 -0.475933 -0.318682 -1.10412
(NM) 420: f = 337.42 at 0.228399 0.68257 0.0445128 -1.09186 0.401353 0.209469 -0.322319 0.0454035 0.0274939 -1.08609 0.251629 0.90244 0.818067 0.654884 0.524348 0.310137 0.172885 0.244353 -0.405278 -0.0302939 0.68187 -0.294251 0.868905 -1.08181 0.0412319 0.22805 0.523343 0.806489 0.19901 -1.14687 -0.474879 -0.317436 -1.10517
(NM) 440: f = 337.419 at 0.227935 0.687896 0.0355031 -1.10482 0.401034 0.238213 -0.313505 0.0395863 0.0271579 -1.06119 0.243161 0.908292 0.821642 0.65468 0.514596 0.312533 0.168082 0.249938 -0.407251 -0.0259166 0.683881 -0.296423 0.87211 -1.08694 0.0320688 0.21446 0.518415 0.801241 0.205407 -1.09726 -0.482005 -0.324951 -1.10332
(NM) 460: f = 337.416 at 0.227742 0.684255 0.0301517 -1.12176 0.397698 0.204447 -0.320134 0.032256 0.0305396 -1.08983 0.239076 0.902518 0.807866 0.653678 0.515171 0.310664 0.166739 0.244966 -0.412923 -0.0333507 0.677472 -0.300215 0.877761 -1.10586 0.0236999 0.221849 0.522011 0.801413 0.198785 -1.09574 -0.483285 -0.322956 -1.1099
(NM) 480: f = 337.416 at 0.227742 0.684255 0.0301517 -1.12176 0.397698 0.204447 -0.320134 0.032256 0.0305396 -1.08983 0.239076 0.902518 0.807866 0.653678 0.515171 0.310664 0.166739 0.244966 -0.412923 -0.0333507 0.677472 -0.300215 0.877761 -1.10586 0.0236999 0.221849 0.522011 0.801413 0.198785 -1.09574 -0.483285 -0.322956 -1.1099
(NM) 500: f = 337.416 at 0.226419 0.687203 0.0332467 -1.09238 0.400053 0.230081 -0.334325 0.0357272 0.0285765 -1.09457 0.251502 0.908753 0.812955 0.655431 0.519117 0.304932 0.172759 0.239614 -0.411582 -0.0403816 0.684902 -0.303253 0.872272 -1.08437 0.0316482 0.224448 0.519809 0.801786 0.193907 -1.11466 -0.505883 -0.318109 -1.10956
(NM) 520: f = 337.415 at 0.226891 0.687564 0.0362108 -1.11257 0.398148 0.226995 -0.329681 0.0393141 0.0259551 -1.09608 0.253553 0.908884 0.812344 0.651456 0.510034 0.296399 0.172637 0.240792 -0.415979 -0.043312 0.684403 -0.307358 0.860798 -1.08463 0.03192 0.225146 0.516944 0.80145 0.19949 -1.11626 -0.476031 -0.319882 -1.10821
(NM) 540: f = 337.412 at 0.230899 0.684538 0.0312142 -1.10456 0.390705 0.232663 -0.342644 0.0303074 0.0253894 -1.09441 0.250606 0.904556 0.810556 0.652769 0.508839 0.304946 0.172156 0.236595 -0.41187 -0.0321396 0.684591 -0.301393 0.868881 -1.08342 0.0251229 0.223395 0.517833 0.800032 0.191452 -1.13447 -0.48304 -0.323096 -1.11867
(NM) 560: f = 337.412 at 0.230899 0.684538 0.0312142 -1.10456 0.390705 0.232663 -0.342644 0.0303074 0.0253894 -1.09441 0.250606 0.904556 0.810556 0.652769 0.508839 0.304946 0.172156 0.236595 -0.41187 -0.0321396 0.684591 -0.301393 0.868881 -1.08342 0.0251229 0.223395 0.517833 0.800032 0.191452 -1.13447 -0.48304 -0.323096 -1.11867
(NM) 580: f = 337.412 at 0.230899 0.684538 0.0312142 -1.10456 0.390705 0.232663 -0.342644 0.0303074 0.0253894 -1.09441 0.250606 0.904556 0.810556 0.652769 0.508839 0.304946 0.172156 0.236595 -0.41187 -0.0321396 0.684591 -0.301393 0.868881 -1.08342 0.0251229 0.223395 0.517833 0.800032 0.191452 -1.13447 -0.48304 -0.323096 -1.11867
(NM) 600: f = 337.41 at 0.230127 0.682137 0.0307504 -1.1201 0.39708 0.22695 -0.32189 0.0352527 0.0285525 -1.08875 0.238743 0.901502 0.815054 0.649576 0.510657 0.304889 0.16414 0.239498 -0.413813 -0.0379607 0.680252 -0.299769 0.870963 -1.09356 0.0247891 0.217957 0.51265 0.796396 0.196418 -1.12218 -0.486801 -0.32816 -1.10596
(NM) 620: f = 337.41 at 0.230127 0.682137 0.0307504 -1.1201 0.39708 0.22695 -0.32189 0.0352527 0.0285525 -1.08875 0.238743 0.901502 0.815054 0.649576 0.510657 0.304889 0.16414 0.239498 -0.413813 -0.0379607 0.680252 -0.299769 0.870963 -1.09356 0.0247891 0.217957 0.51265 0.796396 0.196418 -1.12218 -0.486801 -0.32816 -1.10596
(NM) 640: f = 337.41 at 0.230723 0.681898 0.0297638 -1.12077 0.397076 0.225883 -0.322995 0.0334682 0.0284211 -1.08891 0.238326 0.90131 0.815089 0.64963 0.511508 0.30459 0.163828 0.239852 -0.412795 -0.0375833 0.679795 -0.299345 0.87065 -1.09501 0.0250531 0.217066 0.511329 0.796881 0.194676 -1.1226 -0.487832 -0.328747 -1.10762
(NM) 660: f = 337.41 at 0.235023 0.680681 0.0280454 -1.12365 0.3931 0.221043 -0.329088 0.0302441 0.0287361 -1.09521 0.245019 0.902745 0.810182 0.648717 0.512798 0.303302 0.163114 0.236793 -0.40817 -0.0394504 0.679533 -0.300818 0.870481 -1.09607 0.0259604 0.21968 0.512561 0.799695 0.188153 -1.12718 -0.486655 -0.326693 -1.1164
(NM) 680: f = 337.41 at 0.235023 0.680681 0.0280454 -1.12365 0.3931 0.221043 -0.329088 0.0302441 0.0287361 -1.09521 0.245019 0.902745 0.810182 0.648717 0.512798 0.303302 0.163114 0.236793 -0.40817 -0.0394504 0.679533 -0.300818 0.870481 -1.09607 0.0259604 0.21968 0.512561 0.799695 0.188153 -1.12718 -0.486655 -0.326693 -1.1164
(NM) 700: f = 337.41 at 0.235023 0.680681 0.0280454 -1.12365 0.3931 0.221043 -0.329088 0.0302441 0.0287361 -1.09521 0.245019 0.902745 0.810182 0.648717 0.512798 0.303302 0.163114 0.236793 -0.40817 -0.0394504 0.679533 -0.300818 0.870481 -1.09607 0.0259604 0.21968 0.512561 0.799695 0.188153 -1.12718 -0.486655 -0.326693 -1.1164
(NM) 720: f = 337.41 at 0.231772 0.681733 0.0325949 -1.11709 0.397709 0.22059 -0.33342 0.0299896 0.025839 -1.09004 0.24225 0.901617 0.813803 0.649254 0.512405 0.304253 0.171121 0.240534 -0.412648 -0.0401413 0.679662 -0.30071 0.868769 -1.09749 0.0237364 0.220186 0.511188 0.798755 0.192751 -1.13074 -0.490227 -0.324709 -1.11923
(NM) 740: f = 337.41 at 0.232009 0.682459 0.0284194 -1.12745 0.393715 0.223237 -0.333181 0.031233 0.0264546 -1.09978 0.242137 0.90115 0.813038 0.648267 0.515568 0.308781 0.167478 0.240759 -0.415342 -0.0374431 0.678516 -0.302403 0.867381 -1.09242 0.0303597 0.216746 0.513157 0.796539 0.188794 -1.1272 -0.489896 -0.326915 -1.11491
(NM) 760: f = 337.41 at 0.231358 0.681839 0.0301135 -1.11956 0.396104 0.223833 -0.328423 0.0325835 0.0278638 -1.09321 0.240035 0.901637 0.814313 0.649242 0.511824 0.304191 0.163971 0.239545 -0.413749 -0.038255 0.679211 -0.300218 0.869531 -1.09529 0.0259924 0.218039 0.511579 0.797504 0.192602 -1.12562 -0.48815 -0.327822 -1.11302
(NM) 780: f = 337.41 at 0.233587 0.681246 0.0295359 -1.12192 0.393938 0.221507 -0.331454 0.0306659 0.0279192 -1.0955 0.243431 0.902219 0.812083 0.648709 0.512131 0.303781 0.163587 0.237749 -0.41148 -0.0392527 0.679018 -0.300768 0.869628 -1.09627 0.0266278 0.218841 0.51219 0.798768 0.189561 -1.12736 -0.487527 -0.32678 -1.11731
(NM) 800: f = 337.41 at 0.232117 0.681012 0.0313372 -1.12295 0.394128 0.222309 -0.334267 0.0316248 0.0261987 -1.09332 0.243707 0.902066 0.812828 0.648101 0.511051 0.303639 0.164374 0.237616 -0.416194 -0.0400928 0.678233 -0.296185 0.867948 -1.09574 0.0272073 0.218417 0.512341 0.797248 0.191753 -1.12516 -0.487749 -0.328046 -1.11841
(NM) 820: f = 337.409 at 0.23288 0.682454 0.0306566 -1.11652 0.39349 0.223973 -0.334946 0.0312265 0.0277718 -1.09749 0.242665 0.901503 0.813712 0.64901 0.509967 0.304031 0.166203 0.236989 -0.415977 -0.0369637 0.679284 -0.30006 0.868305 -1.09644 0.0276573 0.217093 0.512771 0.796421 0.191854 -1.12702 -0.487848 -0.327415 -1.12037
(NM) 840: f = 337.409 at 0.232046 0.681605 0.0326672 -1.1194 0.394477 0.222068 -0.332023 0.0334819 0.0280299 -1.09651 0.242804 0.901236 0.814595 0.647522 0.511673 0.30554 0.164603 0.238778 -0.416171 -0.0401302 0.679912 -0.300282 0.868073 -1.10205 0.0280258 0.217155 0.513464 0.798273 0.191882 -1.12507 -0.488226 -0.326299 -1.11687
(NM) 860: f = 337.409 at 0.232346 0.681858 0.0317368 -1.12037 0.393304 0.221327 -0.332384 0.0369512 0.0268269 -1.09633 0.24201 0.901658 0.812744 0.649276 0.511438 0.304498 0.164271 0.238728 -0.414897 -0.0386534 0.679055 -0.300658 0.869574 -1.09602 0.0263658 0.216897 0.511392 0.7978 0.192294 -1.12545 -0.488951 -0.326637 -1.12013
(NM) 880: f = 337.409 at 0.23314 0.681486 0.0304318 -1.12163 0.393811 0.221569 -0.331872 0.0316022 0.0277868 -1.09556 0.242685 0.901954 0.813032 0.648625 0.511715 0.30386 0.163977 0.237814 -0.413264 -0.039122 0.678757 -0.300642 0.869287 -1.09738 0.0269846 0.218038 0.512538 0.797752 0.190813 -1.12673 -0.48784 -0.327159 -1.11837
(NM) 900: f = 337.409 at 0.233181 0.681785 0.0316467 -1.12225 0.392769 0.220668 -0.334313 0.0324768 0.0275715 -1.09726 0.242721 0.901586 0.813717 0.647936 0.511089 0.303489 0.164522 0.237378 -0.415233 -0.0393883 0.678181 -0.300829 0.868663 -1.09959 0.0275345 0.21683 0.513472 0.796787 0.191722 -1.12656 -0.488221 -0.326857 -1.12231
(NM) 920: f = 337.409 at 0.233369 0.680886 0.0318912 -1.12267 0.392239 0.221915 -0.331144 0.0341575 0.0275192 -1.09594 0.243392 0.90194 0.813596 0.647501 0.51002 0.302442 0.163685 0.236758 -0.413592 -0.0405195 0.679109 -0.302265 0.868943 -1.09808 0.0266349 0.217829 0.512845 0.796795 0.191598 -1.12889 -0.48946 -0.327042 -1.1205
(NM) 940: f = 337.409 at 0.233369 0.680886 0.0318912 -1.12267 0.392239 0.221915 -0.331144 0.0341575 0.0275192 -1.09594 0.243392 0.90194 0.813596 0.647501 0.51002 0.302442 0.163685 0.236758 -0.413592 -0.0405195 0.679109 -0.302265 0.868943 -1.09808 0.0266349 0.217829 0.512845 0.796795 0.191598 -1.12889 -0.48946 -0.327042 -1.1205
(NM) 960: f = 337.409 at 0.233023 0.681556 0.0325586 -1.12226 0.392409 0.220681 -0.331418 0.0343073 0.0277305 -1.09459 0.241664 0.901335 0.814344 0.64768 0.509076 0.303819 0.163993 0.237688 -0.416428 -0.0389924 0.678072 -0.302778 0.868864 -1.10143 0.0278688 0.216493 0.514536 0.796077 0.19338 -1.1234 -0.489426 -0.327117 -1.11973
(NM) 980: f = 337.409 at 0.233308 0.681933 0.0315342 -1.12136 0.393331 0.220593 -0.331514 0.0333414 0.0278094 -1.09588 0.240944 0.900955 0.813717 0.647614 0.510044 0.302746 0.163896 0.238454 -0.415559 -0.0384874 0.678695 -0.301554 0.869228 -1.10019 0.0272502 0.217717 0.513433 0.797038 0.19131 -1.1245 -0.490193 -0.328243 -1.12013
(NM) 1000: f = 337.409 at 0.233308 0.681933 0.0315342 -1.12136 0.393331 0.220593 -0.331514 0.0333414 0.0278094 -1.09588 0.240944 0.900955 0.813717 0.647614 0.510044 0.302746 0.163896 0.238454 -0.415559 -0.0384874 0.678695 -0.301554 0.869228 -1.10019 0.0272502 0.217717 0.513433 0.797038 0.19131 -1.1245 -0.490193 -0.328243 -1.12013
(NM) 1020: f = 337.409 at 0.233384 0.681746 0.0320969 -1.1235 0.392307 0.221327 -0.331282 0.0334142 0.0278069 -1.09363 0.242318 0.900919 0.813684 0.647936 0.510825 0.303728 0.163862 0.237717 -0.415339 -0.0393051 0.678467 -0.30328 0.86898 -1.10186 0.0266035 0.218739 0.51397 0.797182 0.192565 -1.12327 -0.489386 -0.327407 -1.11871
(NM) 1040: f = 337.409 at 0.233196 0.681596 0.0313969 -1.12365 0.392349 0.221099 -0.331275 0.0343013 0.0282719 -1.09629 0.242076 0.901109 0.813546 0.647418 0.50924 0.303846 0.162479 0.237526 -0.415982 -0.0398869 0.678405 -0.303308 0.868969 -1.09897 0.0274887 0.217929 0.514355 0.797287 0.191409 -1.12359 -0.489344 -0.32873 -1.11881
(NM) 1060: f = 337.409 at 0.233738 0.681431 0.0319185 -1.12365 0.391903 0.220239 -0.330292 0.0345581 0.027901 -1.09449 0.241619 0.900929 0.813417 0.647444 0.508638 0.303169 0.16398 0.237605 -0.415865 -0.0400154 0.678591 -0.304206 0.869562 -1.09952 0.0264333 0.2186 0.514284 0.797017 0.19151 -1.12434 -0.490599 -0.328235 -1.11996
(NM) 1080: f = 337.409 at 0.233266 0.681238 0.0317496 -1.12329 0.392627 0.2205 -0.330292 0.0341644 0.0279113 -1.09518 0.242134 0.900977 0.813535 0.647414 0.509505 0.303785 0.163836 0.237951 -0.416 -0.0397793 0.678648 -0.302865 0.869068 -1.09949 0.0272115 0.218798 0.513742 0.796959 0.192025 -1.12458 -0.489486 -0.327463 -1.12016
(NM) 1100: f = 337.409 at 0.233462 0.681669 0.0324019 -1.12329 0.392175 0.220404 -0.330958 0.0345487 0.0277782 -1.09477 0.241829 0.900585 0.812948 0.647438 0.509225 0.303225 0.163429 0.238311 -0.415396 -0.0405737 0.678938 -0.303423 0.86922 -1.0992 0.0282886 0.218722 0.513954 0.797157 0.191635 -1.12448 -0.490232 -0.328454 -1.11908
(NM) 1120: f = 337.409 at 0.233462 0.681669 0.0324019 -1.12329 0.392175 0.220404 -0.330958 0.0345487 0.0277782 -1.09477 0.241829 0.900585 0.812948 0.647438 0.509225 0.303225 0.163429 0.238311 -0.415396 -0.0405737 0.678938 -0.303423 0.86922 -1.0992 0.0282886 0.218722 0.513954 0.797157 0.191635 -1.12448 -0.490232 -0.328454 -1.11908
(NM) 1140: f = 337.409 at 0.233501 0.681696 0.0323933 -1.12337 0.39205 0.220441 -0.330861 0.0345192 0.0277895 -1.09478 0.241807 0.900551 0.813003 0.647441 0.509191 0.303262 0.163463 0.23832 -0.415489 -0.0405792 0.678977 -0.303388 0.869236 -1.09919 0.028325 0.218837 0.514032 0.797226 0.191638 -1.12438 -0.490394 -0.328449 -1.11913
(NM) 1160: f = 337.409 at 0.233483 0.681461 0.031896 -1.12345 0.392137 0.221198 -0.329324 0.0337954 0.0280253 -1.09399 0.241398 0.90065 0.813572 0.647367 0.509055 0.303855 0.163844 0.238334 -0.416053 -0.0400679 0.678836 -0.303251 0.869239 -1.09852 0.0268343 0.219005 0.513955 0.797094 0.191593 -1.12367 -0.490966 -0.328822 -1.11816
(NM) 1180: f = 337.409 at 0.233411 0.681685 0.0320963 -1.12373 0.391551 0.220635 -0.330497 0.0331401 0.0280948 -1.09568 0.241737 0.900474 0.813308 0.647431 0.509181 0.303531 0.163784 0.238282 -0.415741 -0.0403524 0.678834 -0.303314 0.868827 -1.09837 0.0264766 0.218769 0.513961 0.797287 0.191395 -1.12411 -0.490983 -0.327867 -1.11955
(NM) 1200: f = 337.409 at 0.23353 0.681865 0.0320826 -1.12273 0.391841 0.221025 -0.330642 0.0334666 0.0272644 -1.09555 0.241648 0.900678 0.813364 0.647306 0.509366 0.303705 0.163874 0.238133 -0.416487 -0.0406548 0.678814 -0.303402 0.869171 -1.09844 0.0271027 0.219053 0.514088 0.79698 0.191539 -1.12374 -0.490176 -0.328373 -1.11915
(NM) 1220: f = 337.409 at 0.233377 0.681729 0.031971 -1.12241 0.392026 0.221344 -0.330596 0.0333171 0.0278158 -1.09572 0.24142 0.900607 0.813306 0.647643 0.509443 0.303633 0.164073 0.238276 -0.41635 -0.0406719 0.678935 -0.303226 0.869038 -1.09905 0.0268571 0.218858 0.514703 0.797147 0.191596 -1.12501 -0.490726 -0.328359 -1.11994
(NM) 1240: f = 337.409 at 0.233709 0.681856 0.032226 -1.12255 0.391263 0.221159 -0.330168 0.0335182 0.0280519 -1.09528 0.241157 0.900542 0.813279 0.647047 0.509205 0.303712 0.164218 0.238688 -0.41607 -0.0408324 0.678787 -0.303635 0.868795 -1.09938 0.0270675 0.218827 0.513885 0.796807 0.191172 -1.12424 -0.49086 -0.328992 -1.1192
(NM) 1260: f = 337.409 at 0.233442 0.681802 0.0319638 -1.12229 0.391815 0.221391 -0.330522 0.0331787 0.0277791 -1.09577 0.241272 0.900447 0.813248 0.647621 0.509433 0.30356 0.164087 0.238341 -0.416524 -0.0408385 0.67899 -0.303246 0.868983 -1.09896 0.026924 0.218946 0.51473 0.797066 0.191567 -1.12495 -0.490923 -0.328497 -1.11999
(NM) 1280: f = 337.409 at 0.233644 0.682035 0.031771 -1.12272 0.391327 0.221273 -0.330147 0.0333201 0.0276486 -1.09609 0.241239 0.900108 0.813247 0.647191 0.50922 0.303466 0.163909 0.23848 -0.416611 -0.0410423 0.679001 -0.303348 0.869086 -1.09901 0.0270945 0.219022 0.514117 0.797048 0.191502 -1.12417 -0.491752 -0.328806 -1.11952
(NM) 1300: f = 337.409 at 0.233599 0.681876 0.0319358 -1.12238 0.391713 0.221413 -0.330268 0.0323845 0.0275657 -1.09604 0.24126 0.900222 0.813256 0.647215 0.509305 0.303083 0.163902 0.238242 -0.416198 -0.0410267 0.678795 -0.303081 0.868914 -1.09913 0.0273442 0.218923 0.514155 0.796593 0.191172 -1.12468 -0.490736 -0.328508 -1.11899
(NM) 1320: f = 337.409 at 0.233545 0.681871 0.0319789 -1.12276 0.391401 0.221447 -0.32985 0.0335424 0.0279485 -1.09533 0.241235 0.90002 0.813168 0.647621 0.509545 0.303244 0.163971 0.23858 -0.416097 -0.0410674 0.678865 -0.303026 0.868865 -1.09923 0.0272381 0.218594 0.514132 0.796848 0.191228 -1.12477 -0.491583 -0.328655 -1.11956
(NM) 1340: f = 337.409 at 0.233545 0.681871 0.0319789 -1.12276 0.391401 0.221447 -0.32985 0.0335424 0.0279485 -1.09533 0.241235 0.90002 0.813168 0.647621 0.509545 0.303244 0.163971 0.23858 -0.416097 -0.0410674 0.678865 -0.303026 0.868865 -1.09923 0.0272381 0.218594 0.514132 0.796848 0.191228 -1.12477 -0.491583 -0.328655 -1.11956
(NM) 1360: f = 337.409 at 0.233534 0.681874 0.0319827 -1.12261 0.391392 0.221455 -0.329817 0.0335192 0.027967 -1.09538 0.241217 0.900008 0.813154 0.647618 0.509517 0.303227 0.164002 0.238601 -0.416135 -0.0411063 0.678866 -0.303013 0.868858 -1.0992 0.0272662 0.218611 0.514164 0.796817 0.191255 -1.12474 -0.491635 -0.328666 -1.11961
(NM) 1380: f = 337.409 at 0.233569 0.681811 0.0321546 -1.12191 0.391645 0.22121 -0.329727 0.0334158 0.0276971 -1.0954 0.241599 0.900281 0.813234 0.647422 0.509489 0.303559 0.163735 0.238454 -0.416333 -0.0407913 0.678803 -0.303174 0.869109 -1.09918 0.0270841 0.218803 0.514031 0.79663 0.191375 -1.1245 -0.491155 -0.328546 -1.11965
(NM) 1400: f = 337.409 at 0.233566 0.681812 0.0321421 -1.12188 0.391644 0.221212 -0.329737 0.0334215 0.0276991 -1.09541 0.241617 0.900286 0.813235 0.647431 0.509491 0.303557 0.163746 0.238465 -0.416325 -0.0407987 0.678802 -0.303169 0.86911 -1.09919 0.027085 0.218779 0.514031 0.796623 0.191382 -1.12452 -0.491137 -0.328538 -1.11968
(NM) 1420: f = 337.409 at 0.233551 0.681858 0.0320982 -1.1225 0.391546 0.221176 -0.329594 0.0333045 0.027745 -1.09546 0.241261 0.900192 0.813258 0.647466 0.509611 0.303175 0.163893 0.238599 -0.416261 -0.0412131 0.678706 -0.302954 0.868996 -1.09917 0.0269639 0.218613 0.514204 0.796443 0.191313 -1.12435 -0.491117 -0.328607 -1.11952
(NM) 1440: f = 337.409 at 0.233625 0.681957 0.0320178 -1.12203 0.391463 0.221396 -0.329747 0.0333946 0.0277591 -1.09583 0.241516 0.90012 0.813261 0.647778 0.509328 0.303209 0.163934 0.238565 -0.416216 -0.0411028 0.678793 -0.302946 0.868832 -1.09894 0.0270067 0.218706 0.514065 0.796465 0.191255 -1.12443 -0.491242 -0.328532 -1.11932
(NM) 1460: f = 337.409 at 0.233524 0.681897 0.0320989 -1.12182 0.391565 0.221192 -0.329566 0.0333961 0.0278745 -1.09545 0.241545 0.900168 0.813148 0.647576 0.509437 0.303198 0.163827 0.238629 -0.416049 -0.0411236 0.6788 -0.302874 0.868924 -1.09922 0.0273084 0.218447 0.514056 0.796426 0.191411 -1.12463 -0.490962 -0.328602 -1.11935
(NM) 1480: f = 337.409 at 0.233524 0.681897 0.0320989 -1.12182 0.391565 0.221192 -0.329566 0.0333961 0.0278745 -1.09545 0.241545 0.900168 0.813148 0.647576 0.509437 0.303198 0.163827 0.238629 -0.416049 -0.0411236 0.6788 -0.302874 0.868924 -1.09922 0.0273084 0.218447 0.514056 0.796426 0.191411 -1.12463 -0.490962 -0.328602 -1.11935
(NM) 1500: f = 337.409 at 0.233524 0.681897 0.0320989 -1.12182 0.391565 0.221192 -0.329566 0.0333961 0.0278745 -1.09545 0.241545 0.900168 0.813148 0.647576 0.509437 0.303198 0.163827 0.238629 -0.416049 -0.0411236 0.6788 -0.302874 0.868924 -1.09922 0.0273084 0.218447 0.514056 0.796426 0.191411 -1.12463 -0.490962 -0.328602 -1.11935
(NM) 1520: f = 337.409 at 0.233524 0.681897 0.0320989 -1.12182 0.391565 0.221192 -0.329566 0.0333961 0.0278745 -1.09545 0.241545 0.900168 0.813148 0.647576 0.509437 0.303198 0.163827 0.238629 -0.416049 -0.0411236 0.6788 -0.302874 0.868924 -1.09922 0.0273084 0.218447 0.514056 0.796426 0.191411 -1.12463 -0.490962 -0.328602 -1.11935
(NM) 1540: f = 337.409 at 0.233518 0.681934 0.0320035 -1.12153 0.391494 0.221464 -0.329773 0.0334125 0.0277927 -1.09588 0.241541 0.900175 0.81318 0.647624 0.509311 0.303331 0.163955 0.23851 -0.416306 -0.0410477 0.67892 -0.302996 0.868828 -1.09905 0.0270838 0.218514 0.514006 0.796606 0.191481 -1.12467 -0.491246 -0.328581 -1.11908
(NM) 1560: f = 337.409 at 0.233542 0.681869 0.0320593 -1.12204 0.391483 0.221352 -0.329595 0.0333369 0.0278052 -1.09583 0.2415 0.900181 0.813282 0.647545 0.509497 0.303186 0.16385 0.238515 -0.416126 -0.0411077 0.678793 -0.302907 0.868893 -1.09921 0.0269754 0.218462 0.514007 0.796475 0.191406 -1.12479 -0.491186 -0.328597 -1.11924
(NM) 1580: f = 337.409 at 0.233544 0.681861 0.0321049 -1.12174 0.391537 0.221348 -0.329641 0.0333717 0.0277712 -1.09583 0.241375 0.900214 0.813191 0.647523 0.509456 0.303205 0.163819 0.238585 -0.416188 -0.0411867 0.678908 -0.302853 0.868881 -1.09923 0.0269742 0.21849 0.514071 0.796389 0.191394 -1.12469 -0.491109 -0.328532 -1.11927
(NM) 1600: f = 337.409 at 0.233544 0.681861 0.0321049 -1.12174 0.391537 0.221348 -0.329641 0.0333717 0.0277712 -1.09583 0.241375 0.900214 0.813191 0.647523 0.509456 0.303205 0.163819 0.238585 -0.416188 -0.0411867 0.678908 -0.302853 0.868881 -1.09923 0.0269742 0.21849 0.514071 0.796389 0.191394 -1.12469 -0.491109 -0.328532 -1.11927
(NM) 1620: f = 337.409 at 0.233547 0.681863 0.0321188 -1.12171 0.39152 0.221358 -0.329629 0.0333789 0.0277777 -1.09584 0.241371 0.900206 0.813195 0.64752 0.509443 0.303201 0.163812 0.238593 -0.416179 -0.0411883 0.67892 -0.302866 0.868882 -1.09924 0.0269857 0.218495 0.514068 0.796385 0.191391 -1.12468 -0.49112 -0.328537 -1.11925
(NM) 1640: f = 337.409 at 0.233565 0.681894 0.0321482 -1.12172 0.391478 0.221343 -0.329514 0.0333856 0.027801 -1.09575 0.241574 0.900148 0.813254 0.647527 0.509395 0.303245 0.163778 0.238555 -0.416088 -0.0411051 0.678947 -0.30297 0.868895 -1.09918 0.0269754 0.218505 0.514039 0.796463 0.191425 -1.12453 -0.491073 -0.328727 -1.11914
(NM) 1660: f = 337.409 at 0.233565 0.681894 0.0321482 -1.12172 0.391478 0.221343 -0.329514 0.0333856 0.027801 -1.09575 0.241574 0.900148 0.813254 0.647527 0.509395 0.303245 0.163778 0.238555 -0.416088 -0.0411051 0.678947 -0.30297 0.868895 -1.09918 0.0269754 0.218505 0.514039 0.796463 0.191425 -1.12453 -0.491073 -0.328727 -1.11914
(NM) 1680: f = 337.409 at 0.233565 0.681894 0.0321482 -1.12172 0.391478 0.221343 -0.329514 0.0333856 0.027801 -1.09575 0.241574 0.900148 0.813254 0.647527 0.509395 0.303245 0.163778 0.238555 -0.416088 -0.0411051 0.678947 -0.30297 0.868895 -1.09918 0.0269754 0.218505 0.514039 0.796463 0.191425 -1.12453 -0.491073 -0.328727 -1.11914
(NM) 1700: f = 337.409 at 0.233569 0.681881 0.0321111 -1.12167 0.391468 0.221344 -0.329515 0.0333726 0.0278275 -1.09579 0.24151 0.900154 0.813219 0.647454 0.509401 0.30321 0.163776 0.238558 -0.416213 -0.0410478 0.678975 -0.302916 0.868851 -1.09929 0.027024 0.218517 0.514036 0.796431 0.191515 -1.12454 -0.491061 -0.328591 -1.11921
(NM) 1720: f = 337.409 at 0.233534 0.681917 0.0321531 -1.12169 0.391515 0.221396 -0.329492 0.033386 0.0277929 -1.09571 0.241607 0.900218 0.813223 0.64747 0.509388 0.303194 0.163839 0.238583 -0.416104 -0.0410847 0.678945 -0.302977 0.868849 -1.09915 0.0270331 0.218506 0.514054 0.796467 0.191463 -1.12465 -0.491042 -0.328574 -1.1192
(NM) 1740: f = 337.409 at 0.233544 0.681885 0.032143 -1.12174 0.391493 0.221413 -0.329549 0.0334711 0.0278564 -1.09564 0.241544 0.900162 0.81321 0.64747 0.509402 0.303201 0.1638 0.238618 -0.416062 -0.0411042 0.678987 -0.302949 0.868855 -1.09923 0.0270578 0.218493 0.514055 0.796491 0.191424 -1.12464 -0.491096 -0.328659 -1.11924
(NM) 1760: f = 337.409 at 0.233544 0.681885 0.032143 -1.12174 0.391493 0.221413 -0.329549 0.0334711 0.0278564 -1.09564 0.241544 0.900162 0.81321 0.64747 0.509402 0.303201 0.1638 0.238618 -0.416062 -0.0411042 0.678987 -0.302949 0.868855 -1.09923 0.0270578 0.218493 0.514055 0.796491 0.191424 -1.12464 -0.491096 -0.328659 -1.11924
(NM) 1780: f = 337.409 at 0.233548 0.681897 0.0321395 -1.12167 0.391503 0.221376 -0.329555 0.0334076 0.02781 -1.09577 0.241501 0.900196 0.813217 0.64749 0.509406 0.303215 0.1638 0.238594 -0.416151 -0.0411138 0.678947 -0.302925 0.868874 -1.09921 0.0270127 0.218494 0.514063 0.796445 0.191432 -1.12459 -0.491088 -0.328594 -1.11916
(NM) 1800: f = 337.409 at 0.233556 0.681906 0.032152 -1.12163 0.391495 0.221403 -0.329572 0.0334215 0.027817 -1.09581 0.241563 0.900219 0.813229 0.647436 0.509443 0.303214 0.163783 0.238561 -0.4161 -0.0410749 0.679013 -0.302934 0.868854 -1.09914 0.0270414 0.218501 0.514007 0.796464 0.191469 -1.12462 -0.491022 -0.328634 -1.11915
(NM) 1820: f = 337.409 at 0.233556 0.681906 0.032152 -1.12163 0.391495 0.221403 -0.329572 0.0334215 0.027817 -1.09581 0.241563 0.900219 0.813229 0.647436 0.509443 0.303214 0.163783 0.238561 -0.4161 -0.0410749 0.679013 -0.302934 0.868854 -1.09914 0.0270414 0.218501 0.514007 0.796464 0.191469 -1.12462 -0.491022 -0.328634 -1.11915
(NM) 1840: f = 337.409 at 0.233559 0.681917 0.032166 -1.12158 0.391508 0.221427 -0.329542 0.0334474 0.0278197 -1.09577 0.241561 0.900197 0.813223 0.647469 0.509419 0.30322 0.163785 0.238608 -0.416115 -0.0410894 0.67903 -0.302948 0.868851 -1.09914 0.0270304 0.218534 0.514063 0.796453 0.191448 -1.12454 -0.491012 -0.32861 -1.11915
(NM) 1860: f = 337.409 at 0.233556 0.681908 0.032152 -1.12167 0.391523 0.221383 -0.329501 0.0334314 0.0278321 -1.09574 0.241501 0.900179 0.813238 0.647463 0.509451 0.303217 0.163779 0.238598 -0.416137 -0.0410837 0.678971 -0.302928 0.868868 -1.09921 0.0270389 0.218499 0.51408 0.796456 0.191459 -1.12459 -0.49106 -0.328615 -1.11914
(NM) 1880: f = 337.409 at 0.23355 0.681905 0.0321654 -1.1217 0.39152 0.221377 -0.329522 0.0334295 0.0278441 -1.09572 0.241531 0.900181 0.813227 0.647443 0.50946 0.303222 0.163775 0.23858 -0.416088 -0.041096 0.679001 -0.302926 0.868852 -1.09917 0.0270313 0.218506 0.514078 0.796455 0.191455 -1.12455 -0.491031 -0.328603 -1.11916
(NM) 1900: f = 337.409 at 0.233552 0.681913 0.0321439 -1.12166 0.391517 0.221394 -0.329506 0.0334813 0.0278275 -1.09567 0.241526 0.900175 0.813219 0.647453 0.509479 0.303246 0.163788 0.238603 -0.416119 -0.0411119 0.678993 -0.302905 0.868862 -1.09918 0.0270238 0.218498 0.514091 0.796449 0.191467 -1.12453 -0.491027 -0.32863 -1.11915
(NM) 1920: f = 337.409 at 0.233557 0.681892 0.0321345 -1.12168 0.391514 0.221383 -0.329529 0.0334172 0.0278253 -1.09571 0.241502 0.900173 0.813228 0.647431 0.509504 0.303215 0.163804 0.238596 -0.416122 -0.0410942 0.678987 -0.302918 0.868865 -1.09919 0.0270449 0.218508 0.514093 0.796471 0.191432 -1.12452 -0.491025 -0.328633 -1.11917
(NM) 1940: f = 337.409 at 0.233549 0.681923 0.0321622 -1.12167 0.391512 0.22137 -0.329561 0.0334215 0.0278317 -1.09572 0.241542 0.900184 0.813237 0.647432 0.50948 0.303217 0.163788 0.238611 -0.416136 -0.0410977 0.679008 -0.302928 0.868868 -1.09918 0.0270372 0.21853 0.514085 0.796463 0.191445 -1.12454 -0.491039 -0.328634 -1.11911
(NM) 1960: f = 337.409 at 0.233541 0.681914 0.0321458 -1.12174 0.39154 0.221396 -0.329553 0.0334746 0.0278462 -1.09574 0.24153 0.900186 0.813233 0.647423 0.509516 0.303226 0.163792 0.238596 -0.416112 -0.0410983 0.679008 -0.302918 0.868866 -1.09918 0.0270461 0.218513 0.514093 0.796475 0.191448 -1.12458 -0.491003 -0.328614 -1.11915
(NM) 1980: f = 337.409 at 0.233541 0.681914 0.0321458 -1.12174 0.39154 0.221396 -0.329553 0.0334746 0.0278462 -1.09574 0.24153 0.900186 0.813233 0.647423 0.509516 0.303226 0.163792 0.238596 -0.416112 -0.0410983 0.679008 -0.302918 0.868866 -1.09918 0.0270461 0.218513 0.514093 0.796475 0.191448 -1.12458 -0.491003 -0.328614 -1.11915
(NM) 2000: f = 337.409 at 0.233552 0.68192 0.032153 -1.12169 0.391526 0.2214 -0.32958 0.0334571 0.0278303 -1.09574 0.241534 0.900181 0.813243 0.647419 0.509507 0.303218 0.163794 0.238597 -0.416138 -0.0410922 0.67902 -0.302907 0.868866 -1.09918 0.0270584 0.218522 0.514093 0.796474 0.191451 -1.12455 -0.491004 -0.328637 -1.11911
(NM) 2020: f = 337.409 at 0.233552 0.68192 0.032153 -1.12169 0.391526 0.2214 -0.32958 0.0334571 0.0278303 -1.09574 0.241534 0.900181 0.813243 0.647419 0.509507 0.303218 0.163794 0.238597 -0.416138 -0.0410922 0.67902 -0.302907 0.868866 -1.09918 0.0270584 0.218522 0.514093 0.796474 0.191451 -1.12455 -0.491004 -0.328637 -1.11911
(NM) 2040: f = 337.409 at 0.233552 0.68192 0.032153 -1.12169 0.391526 0.2214 -0.32958 0.0334571 0.0278303 -1.09574 0.241534 0.900181 0.813243 0.647419 0.509507 0.303218 0.163794 0.238597 -0.416138 -0.0410922 0.67902 -0.302907 0.868866 -1.09918 0.0270584 0.218522 0.514093 0.796474 0.191451 -1.12455 -0.491004 -0.328637 -1.11911
(NM) 2060: f = 337.409 at 0.233552 0.681909 0.0321542 -1.12172 0.391526 0.221387 -0.329565 0.0334496 0.0278368 -1.09576 0.241529 0.900177 0.813238 0.647431 0.509498 0.303212 0.163784 0.238586 -0.41613 -0.0411054 0.679016 -0.302892 0.868855 -1.09919 0.0270368 0.218503 0.514098 0.796451 0.191431 -1.12456 -0.491018 -0.328622 -1.11913
(NM) 2080: f = 337.409 at 0.233549 0.681921 0.0321682 -1.12172 0.391536 0.221398 -0.329557 0.0334622 0.027838 -1.09573 0.241551 0.900185 0.813242 0.647432 0.509497 0.303212 0.163792 0.238597 -0.41612 -0.0411121 0.679023 -0.302911 0.868861 -1.09916 0.027054 0.218503 0.51411 0.796472 0.191427 -1.12454 -0.491012 -0.328642 -1.11911
(NM) 2100: f = 337.409 at 0.233547 0.681924 0.0321641 -1.12168 0.391533 0.221392 -0.329548 0.0334498 0.0278356 -1.09576 0.241561 0.900184 0.813238 0.647429 0.509496 0.303208 0.163799 0.238597 -0.416134 -0.0411084 0.679024 -0.302886 0.868858 -1.09919 0.0270547 0.218496 0.514099 0.796465 0.191433 -1.12455 -0.491008 -0.328631 -1.1191
(NM) 2120: f = 337.409 at 0.233545 0.681922 0.0321513 -1.1217 0.391534 0.221397 -0.329574 0.0334616 0.0278397 -1.09575 0.241546 0.900174 0.813235 0.647432 0.509507 0.303213 0.163809 0.238601 -0.416147 -0.0411125 0.679029 -0.302893 0.868854 -1.09918 0.0270618 0.218502 0.514106 0.796471 0.191434 -1.12455 -0.491024 -0.328637 -1.11911drop1(mod, test = "Chi")start par. = 1 fn = 396.9967
At return
eval: 20 fn: 377.07193 par: 0.302749
(NM) 20: f = 376.966 at 0.308765 0.249013
(NM) 40: f = 376.965 at 0.3079 0.25282
(NM) 60: f = 376.965 at 0.307862 0.252706
Single term deletions
Model:
Score ~ 0 + Team + (1 | OtherTeam)
npar AIC LRT Pr(Chi)
<none> 403.41
Team 31 380.96 39.556 0.1394LOL – it’s not a very good model, but it’s a large number of teams for a relatively small number of matches so probably why.
summary(mod)Generalized linear mixed model fit by maximum likelihood
(Laplace Approximation) [glmerMod]
Family: poisson ( log )
Formula: Score ~ 0 + Team + (1 | OtherTeam)
Data: dat_fit
AIC BIC logLik deviance df.resid
403.4 495.9 -168.7 337.4 89
Scaled residuals:
Min 1Q Median 3Q Max
-1.50143 -0.78805 -0.04194 0.61617 2.50695
Random effects:
Groups Name Variance Std.Dev.
OtherTeam (Intercept) 0.05454 0.2335
Number of obs: 122, groups: OtherTeam, 32
Fixed effects:
Estimate Std. Error z value Pr(>|z|)
TeamArgentina 0.68192 0.30260 2.254 0.02422 *
TeamAustralia 0.03216 0.51275 0.063 0.94999
TeamBelgium -1.12170 1.00766 -1.113 0.26563
TeamBrazil 0.39153 0.37709 1.038 0.29913
TeamCameroon 0.22139 0.52166 0.424 0.67127
TeamCanada -0.32957 0.72075 -0.457 0.64748
TeamCosta Rica 0.03346 0.59122 0.057 0.95487
TeamCroatia 0.02784 0.41785 0.067 0.94689
TeamDenmark -1.09577 1.00597 -1.089 0.27604
TeamEcuador 0.24156 0.51750 0.467 0.64065
TeamEngland 0.90018 0.30241 2.977 0.00291 **
TeamFrance 0.81324 0.31928 2.547 0.01086 *
TeamGermany 0.64743 0.43168 1.500 0.13367
TeamGhana 0.50952 0.46411 1.098 0.27228
TeamIran 0.30321 0.51504 0.589 0.55605
TeamJapan 0.16381 0.46526 0.352 0.72478
TeamKorea Republic 0.23859 0.46016 0.519 0.60411
TeamMexico -0.41615 0.71689 -0.580 0.56158
TeamMorocco -0.04111 0.46094 -0.089 0.92894
TeamNetherlands 0.67903 0.33168 2.047 0.04063 *
TeamPoland -0.30288 0.58698 -0.516 0.60586
TeamPortugal 0.86886 0.30564 2.843 0.00447 **
TeamQatar -1.09917 1.00574 -1.093 0.27444
TeamSaudi Arabia 0.02706 0.59078 0.046 0.96347
TeamSenegal 0.21850 0.46013 0.475 0.63489
TeamSerbia 0.51410 0.46410 1.108 0.26797
TeamSpain 0.79647 0.35291 2.257 0.02402 *
TeamSwitzerland 0.19143 0.46246 0.414 0.67892
TeamTunisia -1.12454 1.00617 -1.118 0.26372
TeamUruguay -0.49102 0.72240 -0.680 0.49669
TeamUSA -0.32864 0.58909 -0.558 0.57692
TeamWales -1.11910 1.00646 -1.112 0.26618
---
Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
Correlation matrix not shown by default, as p = 32 > 12.
Use print(x, correlation=TRUE) or
vcov(x) if you need itdat_pred <- dat_long |>
filter(is.na(Score) & !is.na(Team))
dat_preddat_pred$Score <-
predict(mod,
newdat = dat_pred,
re.form = ~ 0,
type = "response") |>
round(1)dat_pred |>
select(Match.Number, Date, Team, Where, Score) |>
pivot_wider(names_from = Where, values_from = c(Team, Score)) |>
na.omit() |>
mutate(Score = paste0(Team_Home, " ", Score_Home, " - ",
Score_Away, " ", Team_Away)) |>
select(Score)# A tibble: 1 × 1
Score
<chr>
1 France 2.3 - 1 Morocco