Я пытаюсь использовать функцию censReg в R, которая является частью пакета censReg. Я пытаюсь смоделировать данные о биомассе, которые являются непрерывными по природе и содержат нули. Ноль - это наименьшее возможное значение, потому что нет такой вещи, как отрицательная биомасса. Я решил использовать пакет censReg как способ справиться с непрерывным распределением переменной total_biomass с сильно завышенным нулем. Мне удалось запустить приведенную ниже модель, однако, когда я пытаюсь запустить функцию summary () на модели, я получаю следующую ошибку:
Error in printCoefmat(coef(x, logSigma = logSigma), digits = digits) :
'x' must be coefficient matrix/data frame
Глядя на это сообщение об ошибке, я не понимаю, что это значит, ни в чем проблема с моим кодом или базой данных. Может ли кто-нибудь предоставить мне какой-либо дополнительный код или настройки, которые мне нужно сделать, чтобы успешно получить сводку модели?
База данных
library(tidyverse)
library(censReg)
mean_fish_totals <- structure(list(Date = structure(c(1L, 1L, 1L, 1L, 1L, 1L, 2L,
2L, 2L, 2L, 2L, 2L, 3L, 3L, 3L, 3L, 3L, 3L, 4L, 4L, 4L, 4L, 4L,
4L, 5L, 5L, 5L, 5L, 5L, 5L, 6L, 6L, 6L, 6L, 6L, 6L, 7L, 7L, 7L,
7L, 7L, 7L, 8L, 8L, 8L, 8L, 8L, 8L, 9L, 9L, 9L, 9L, 9L, 9L, 10L,
10L, 10L, 10L, 10L, 10L, 11L, 11L, 11L, 11L, 11L, 11L, 12L, 12L,
12L, 12L, 12L, 12L, 13L, 13L, 13L, 13L, 13L, 13L, 14L, 14L, 14L,
14L, 14L, 14L, 15L, 15L, 15L, 15L, 15L, 15L, 16L, 16L, 16L, 16L,
16L, 16L, 17L, 17L, 17L, 17L, 17L, 17L, 18L, 18L, 18L, 18L, 18L,
18L, 19L, 19L, 19L, 19L, 19L, 19L, 20L, 20L, 20L, 20L, 20L, 20L,
21L, 21L, 21L, 21L, 22L, 22L, 22L, 23L, 23L, 23L, 24L, 24L, 25L,
25L, 25L, 25L, 25L, 25L, 26L, 26L, 26L, 26L, 26L, 26L), .Label = c("11/28/17",
"12/10/19", "12/14/19", "12/3/17", "12/4/18", "12/8/18", "2/25/17",
"3/19/19", "3/22/19", "4/18/17", "5/15/18", "5/20/18", "5/25/17",
"6/3/19", "6/4/19", "6/6/17", "8/28/18", "9/1/18", "9/10/19",
"9/15/19", "9/20/16", "9/22/16", "9/25/16", "9/27/16", "9/5/17",
"9/7/17"), class = "factor"), `Module #` = c(211L, 212L, 213L,
214L, 215L, 216L, 211L, 212L, 213L, 214L, 215L, 216L, 111L, 112L,
113L, 114L, 115L, 116L, 111L, 112L, 113L, 114L, 115L, 116L, 211L,
212L, 213L, 214L, 215L, 216L, 111L, 112L, 113L, 114L, 115L, 116L,
111L, 112L, 113L, 114L, 115L, 116L, 211L, 212L, 213L, 214L, 215L,
216L, 111L, 112L, 113L, 114L, 115L, 116L, 211L, 212L, 213L, 214L,
215L, 216L, 211L, 212L, 213L, 214L, 215L, 216L, 111L, 112L, 113L,
114L, 115L, 116L, 111L, 112L, 113L, 114L, 115L, 116L, 111L, 112L,
113L, 114L, 115L, 116L, 211L, 212L, 213L, 214L, 215L, 216L, 211L,
212L, 213L, 214L, 215L, 216L, 211L, 212L, 213L, 214L, 215L, 216L,
111L, 112L, 113L, 114L, 115L, 116L, 211L, 212L, 213L, 214L, 215L,
216L, 111L, 112L, 113L, 114L, 115L, 116L, 213L, 214L, 215L, 216L,
114L, 115L, 116L, 111L, 112L, 113L, 211L, 212L, 211L, 212L, 213L,
214L, 215L, 216L, 111L, 112L, 113L, 114L, 115L, 116L), Site_long = structure(c(1L,
1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 1L, 1L, 1L, 1L, 1L, 1L, 2L, 2L, 2L,
2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 1L, 1L, 1L, 1L, 1L, 1L, 2L,
2L, 2L, 2L, 2L, 2L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
2L, 2L, 2L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
1L, 1L, 1L, 1L, 1L, 2L, 2L, 2L, 2L, 2L, 2L, 1L, 1L, 1L, 1L, 1L,
1L, 2L, 2L, 2L, 2L, 2L, 2L, 1L, 1L, 1L, 1L, 2L, 2L, 2L, 2L, 2L,
2L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 2L, 2L, 2L, 2L, 2L, 2L), .Label = c("Hanauma Bay",
"Waikiki"), class = "factor"), Treatment_long = structure(c(2L,
1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L,
1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L,
1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L,
1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L,
1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L,
1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L,
1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L,
1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 1L, 2L, 1L, 2L, 1L,
2L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L), .Label = c("Closed",
"Open"), class = "factor"), Shelter = structure(c(1L, 2L, 1L,
2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L,
2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L,
2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L,
2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L,
2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L,
2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L,
2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L,
2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 2L, 1L, 2L, 1L, 2L, 1L, 1L,
2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L, 1L, 2L), .Label = c("High",
"Low"), class = "factor"), TimeStep = c(5, 5, 5, 5, 5, 5, 15,
15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 5, 5, 5, 5, 5, 5,
11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 0.75, 0.75, 0.75,
0.75, 0.75, 0.75, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12,
12, 0.75, 2, 0.75, 0.75, 0.75, 2, 7, 7, 7, 7, 7, 7, 7, 7, 7,
7, 7, 7, 1, 1, 1, 1, 1, 1, 13, 13, 13, 13, 13, 13, 13, 13, 13,
13, 13, 13, 1, 1, 1, 1, 1, 1, 10, 10, 10, 10, 10, 10, 10, 10,
10, 10, 10, 10, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14,
0.5, 0.5, 0.5, 1, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 1, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4), total_biomass = c(0.0526394784788566,
0.00650991088549517, 0.180596698411345, 0, 0.526717015131238,
0, 0.206894204748519, 0.0164498212264971, 0, 0, 0, 0, 0.201603325166693,
0, 0.283172330030785, 0, 0, 0, 0.209199851062596, 0, 0.283172330030785,
0, 0.394899281159044, 0.176129136061979, 0.169586003898729, 0,
0.120034320302602, 0, 0.996727938559748, 0, 0, 0, 0, 0, 0.257380940140258,
0.443609909402316, 0.308392987176445, 0, 0.748305018557033, 0,
0.169586003898729, 0, 0.120034320302602, 0, 0.120034320302602,
0, 1.08474493759439, 0, 0, 0.0745413774887557, 0, 0.0467403151010407,
0.233352036920048, 0, 0.0899664423257818, 0, 0.308392987176445,
0, 0, 0, 10.6461511880577, 0, 26.4504921170652, 0, 0.526717015131238,
0, 0, 0, 0.403061371653634, 0.209695276260751, 0.120034320302602,
0.0206199419933497, 0.078489026854395, 0, 0.165344302422082,
0, 0.0317487117533543, 0, 0, 0, 0, 0, 0.94950027744447, 0, 0,
0, 0, 0, 1.03519325399826, 0, 0.169586003898729, 0.125258604363503,
0.310810458426215, 0, 10.6461511880577, 0, 0, 0, 0.976669817356845,
0, 0.996727938559748, 0, 0, 0.0202327772014947, 0.0403651893214743,
0, 0.168776380464422, 0, 0.133454408606973, 0, 0, 0.621724957549784,
0.0164498212264971, 0, 0.110237738607749, 0, 0.116136901985565,
0, 0, 0.0135959326713389, 0.00889824575015321, 0.078489026854395,
0.16627064788403, 0, 0.028053154008064, 0.0526394784788566, 0.0419621766803908,
0, 0, 0, 0, 0, 0.308392987176445, 0.0520989800170256, 0.222619650542138,
0, 21.2935111117403, 15.7227719241434, 0.232861857335555, 0,
0.0634974235067086, 0, 0.0492074004365164, 0), new_date = structure(c(17498,
17498, 17498, 17498, 17498, 17498, 18240, 18240, 18240, 18240,
18240, 18240, 18244, 18244, 18244, 18244, 18244, 18244, 17503,
17503, 17503, 17503, 17503, 17503, 17869, 17869, 17869, 17869,
17869, 17869, 17873, 17873, 17873, 17873, 17873, 17873, 17222,
17222, 17222, 17222, 17222, 17222, 17974, 17974, 17974, 17974,
17974, 17974, 17977, 17977, 17977, 17977, 17977, 17977, 17274,
17274, 17274, 17274, 17274, 17274, 17666, 17666, 17666, 17666,
17666, 17666, 17671, 17671, 17671, 17671, 17671, 17671, 17311,
17311, 17311, 17311, 17311, 17311, 18050, 18050, 18050, 18050,
18050, 18050, 18051, 18051, 18051, 18051, 18051, 18051, 17323,
17323, 17323, 17323, 17323, 17323, 17771, 17771, 17771, 17771,
17771, 17771, 17775, 17775, 17775, 17775, 17775, 17775, 18149,
18149, 18149, 18149, 18149, 18149, 18154, 18154, 18154, 18154,
18154, 18154, 17064, 17064, 17064, 17064, 17066, 17066, 17066,
17069, 17069, 17069, 17071, 17071, 17414, 17414, 17414, 17414,
17414, 17414, 17416, 17416, 17416, 17416, 17416, 17416), class = "Date")), row.names = c(NA,
-144L), groups = structure(list(Date = structure(c(1L, 1L, 1L,
1L, 1L, 1L, 2L, 2L, 2L, 2L, 2L, 2L, 3L, 3L, 3L, 3L, 3L, 3L, 4L,
4L, 4L, 4L, 4L, 4L, 5L, 5L, 5L, 5L, 5L, 5L, 6L, 6L, 6L, 6L, 6L,
6L, 7L, 7L, 7L, 7L, 7L, 7L, 8L, 8L, 8L, 8L, 8L, 8L, 9L, 9L, 9L,
9L, 9L, 9L, 10L, 10L, 10L, 10L, 10L, 10L, 11L, 11L, 11L, 11L,
11L, 11L, 12L, 12L, 12L, 12L, 12L, 12L, 13L, 13L, 13L, 13L, 13L,
13L, 14L, 14L, 14L, 14L, 14L, 14L, 15L, 15L, 15L, 15L, 15L, 15L,
16L, 16L, 16L, 16L, 16L, 16L, 17L, 17L, 17L, 17L, 17L, 17L, 18L,
18L, 18L, 18L, 18L, 18L, 19L, 19L, 19L, 19L, 19L, 19L, 20L, 20L,
20L, 20L, 20L, 20L, 21L, 21L, 21L, 21L, 22L, 22L, 22L, 23L, 23L,
23L, 24L, 24L, 25L, 25L, 25L, 25L, 25L, 25L, 26L, 26L, 26L, 26L,
26L, 26L), .Label = c("11/28/17", "12/10/19", "12/14/19", "12/3/17",
"12/4/18", "12/8/18", "2/25/17", "3/19/19", "3/22/19", "4/18/17",
"5/15/18", "5/20/18", "5/25/17", "6/3/19", "6/4/19", "6/6/17",
"8/28/18", "9/1/18", "9/10/19", "9/15/19", "9/20/16", "9/22/16",
"9/25/16", "9/27/16", "9/5/17", "9/7/17"), class = "factor"),
`Module #` = c(211L, 212L, 213L, 214L, 215L, 216L, 211L,
212L, 213L, 214L, 215L, 216L, 111L, 112L, 113L, 114L, 115L,
116L, 111L, 112L, 113L, 114L, 115L, 116L, 211L, 212L, 213L,
214L, 215L, 216L, 111L, 112L, 113L, 114L, 115L, 116L, 111L,
112L, 113L, 114L, 115L, 116L, 211L, 212L, 213L, 214L, 215L,
216L, 111L, 112L, 113L, 114L, 115L, 116L, 211L, 212L, 213L,
214L, 215L, 216L, 211L, 212L, 213L, 214L, 215L, 216L, 111L,
112L, 113L, 114L, 115L, 116L, 111L, 112L, 113L, 114L, 115L,
116L, 111L, 112L, 113L, 114L, 115L, 116L, 211L, 212L, 213L,
214L, 215L, 216L, 211L, 212L, 213L, 214L, 215L, 216L, 211L,
212L, 213L, 214L, 215L, 216L, 111L, 112L, 113L, 114L, 115L,
116L, 211L, 212L, 213L, 214L, 215L, 216L, 111L, 112L, 113L,
114L, 115L, 116L, 213L, 214L, 215L, 216L, 114L, 115L, 116L,
111L, 112L, 113L, 211L, 212L, 211L, 212L, 213L, 214L, 215L,
216L, 111L, 112L, 113L, 114L, 115L, 116L), Site_long = c("Hanauma Bay",
"Hanauma Bay", "Hanauma Bay", "Hanauma Bay", "Hanauma Bay",
"Hanauma Bay", "Hanauma Bay", "Hanauma Bay", "Hanauma Bay",
"Hanauma Bay", "Hanauma Bay", "Hanauma Bay", "Waikiki", "Waikiki",
"Waikiki", "Waikiki", "Waikiki", "Waikiki", "Waikiki", "Waikiki",
"Waikiki", "Waikiki", "Waikiki", "Waikiki", "Hanauma Bay",
"Hanauma Bay", "Hanauma Bay", "Hanauma Bay", "Hanauma Bay",
"Hanauma Bay", "Waikiki", "Waikiki", "Waikiki", "Waikiki",
"Waikiki", "Waikiki", "Waikiki", "Waikiki", "Waikiki", "Waikiki",
"Waikiki", "Waikiki", "Hanauma Bay", "Hanauma Bay", "Hanauma Bay",
"Hanauma Bay", "Hanauma Bay", "Hanauma Bay", "Waikiki", "Waikiki",
"Waikiki", "Waikiki", "Waikiki", "Waikiki", "Hanauma Bay",
"Hanauma Bay", "Hanauma Bay", "Hanauma Bay", "Hanauma Bay",
"Hanauma Bay", "Hanauma Bay", "Hanauma Bay", "Hanauma Bay",
"Hanauma Bay", "Hanauma Bay", "Hanauma Bay", "Waikiki", "Waikiki",
"Waikiki", "Waikiki", "Waikiki", "Waikiki", "Waikiki", "Waikiki",
"Waikiki", "Waikiki", "Waikiki", "Waikiki", "Waikiki", "Waikiki",
"Waikiki", "Waikiki", "Waikiki", "Waikiki", "Hanauma Bay",
"Hanauma Bay", "Hanauma Bay", "Hanauma Bay", "Hanauma Bay",
"Hanauma Bay", "Hanauma Bay", "Hanauma Bay", "Hanauma Bay",
"Hanauma Bay", "Hanauma Bay", "Hanauma Bay", "Hanauma Bay",
"Hanauma Bay", "Hanauma Bay", "Hanauma Bay", "Hanauma Bay",
"Hanauma Bay", "Waikiki", "Waikiki", "Waikiki", "Waikiki",
"Waikiki", "Waikiki", "Hanauma Bay", "Hanauma Bay", "Hanauma Bay",
"Hanauma Bay", "Hanauma Bay", "Hanauma Bay", "Waikiki", "Waikiki",
"Waikiki", "Waikiki", "Waikiki", "Waikiki", "Hanauma Bay",
"Hanauma Bay", "Hanauma Bay", "Hanauma Bay", "Waikiki", "Waikiki",
"Waikiki", "Waikiki", "Waikiki", "Waikiki", "Hanauma Bay",
"Hanauma Bay", "Hanauma Bay", "Hanauma Bay", "Hanauma Bay",
"Hanauma Bay", "Hanauma Bay", "Hanauma Bay", "Waikiki", "Waikiki",
"Waikiki", "Waikiki", "Waikiki", "Waikiki"), Treatment_long = c("Open",
"Closed", "Open", "Closed", "Open", "Closed", "Open", "Closed",
"Open", "Closed", "Open", "Closed", "Open", "Closed", "Open",
"Closed", "Open", "Closed", "Open", "Closed", "Open", "Closed",
"Open", "Closed", "Open", "Closed", "Open", "Closed", "Open",
"Closed", "Open", "Closed", "Open", "Closed", "Open", "Closed",
"Open", "Closed", "Open", "Closed", "Open", "Closed", "Open",
"Closed", "Open", "Closed", "Open", "Closed", "Open", "Closed",
"Open", "Closed", "Open", "Closed", "Open", "Closed", "Open",
"Closed", "Open", "Closed", "Open", "Closed", "Open", "Closed",
"Open", "Closed", "Open", "Closed", "Open", "Closed", "Open",
"Closed", "Open", "Closed", "Open", "Closed", "Open", "Closed",
"Open", "Closed", "Open", "Closed", "Open", "Closed", "Open",
"Closed", "Open", "Closed", "Open", "Closed", "Open", "Closed",
"Open", "Closed", "Open", "Closed", "Open", "Closed", "Open",
"Closed", "Open", "Closed", "Open", "Closed", "Open", "Closed",
"Open", "Closed", "Open", "Closed", "Open", "Closed", "Open",
"Closed", "Open", "Closed", "Open", "Closed", "Open", "Closed",
"Open", "Closed", "Open", "Closed", "Closed", "Open", "Closed",
"Open", "Closed", "Open", "Open", "Closed", "Open", "Closed",
"Open", "Closed", "Open", "Closed", "Open", "Closed", "Open",
"Closed", "Open", "Closed"), Shelter = c("High", "Low", "High",
"Low", "High", "Low", "High", "Low", "High", "Low", "High",
"Low", "High", "Low", "High", "Low", "High", "Low", "High",
"Low", "High", "Low", "High", "Low", "High", "Low", "High",
"Low", "High", "Low", "High", "Low", "High", "Low", "High",
"Low", "High", "Low", "High", "Low", "High", "Low", "High",
"Low", "High", "Low", "High", "Low", "High", "Low", "High",
"Low", "High", "Low", "High", "Low", "High", "Low", "High",
"Low", "High", "Low", "High", "Low", "High", "Low", "High",
"Low", "High", "Low", "High", "Low", "High", "Low", "High",
"Low", "High", "Low", "High", "Low", "High", "Low", "High",
"Low", "High", "Low", "High", "Low", "High", "Low", "High",
"Low", "High", "Low", "High", "Low", "High", "Low", "High",
"Low", "High", "Low", "High", "Low", "High", "Low", "High",
"Low", "High", "Low", "High", "Low", "High", "Low", "High",
"Low", "High", "Low", "High", "Low", "High", "Low", "High",
"Low", "Low", "High", "Low", "High", "Low", "High", "High",
"Low", "High", "Low", "High", "Low", "High", "Low", "High",
"Low", "High", "Low", "High", "Low"), .rows = list(1L, 2L,
3L, 4L, 5L, 6L, 7L, 8L, 9L, 10L, 11L, 12L, 13L, 14L,
15L, 16L, 17L, 18L, 19L, 20L, 21L, 22L, 23L, 24L, 25L,
26L, 27L, 28L, 29L, 30L, 31L, 32L, 33L, 34L, 35L, 36L,
37L, 38L, 39L, 40L, 41L, 42L, 43L, 44L, 45L, 46L, 47L,
48L, 49L, 50L, 51L, 52L, 53L, 54L, 55L, 56L, 57L, 58L,
59L, 60L, 61L, 62L, 63L, 64L, 65L, 66L, 67L, 68L, 69L,
70L, 71L, 72L, 73L, 74L, 75L, 76L, 77L, 78L, 79L, 80L,
81L, 82L, 83L, 84L, 85L, 86L, 87L, 88L, 89L, 90L, 91L,
92L, 93L, 94L, 95L, 96L, 97L, 98L, 99L, 100L, 101L, 102L,
103L, 104L, 105L, 106L, 107L, 108L, 109L, 110L, 111L,
112L, 113L, 114L, 115L, 116L, 117L, 118L, 119L, 120L,
121L, 122L, 123L, 124L, 125L, 126L, 127L, 128L, 129L,
130L, 131L, 132L, 133L, 134L, 135L, 136L, 137L, 138L,
139L, 140L, 141L, 142L, 143L, 144L)), row.names = c(NA,
-144L), class = c("tbl_df", "tbl", "data.frame"), .drop = TRUE), class = c("grouped_df",
"tbl_df", "tbl", "data.frame"))
Анализ
## Herbivorous fish with interaction
# variables
module_fish <- mean_fish_totals$`Module #`
# Data distribution #
plotNormalHistogram(mean_fish_totals$total_biomass)
## Generalized Mixed Effects Model Fishes ##
# glmer new database #
mean_fish_totals$Shelter <- factor(mean_fish_totals$Shelter, levels = c("Low", "High"), ordered = TRUE)
mean_fish_totals$Site_long <- as.factor(mean_fish_totals$Site_long)
# Censreg Model #
fish_mixed_effects_censreg <- censReg(total_biomass ~ Site_long*Shelter + (1|module_fish), left = 0, right = Inf, data = mean_fish_totals)
summary(fish_mixed_effects_censreg)
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