post 在 R 中使用 emmeans 进行临时测试
post hoc test using emmeans in R
我正在尝试使用具有不等大小数据的 emmeans 进行事后测试，我们有 2017 年和 2018 年的 81 个数据，而 2019 年和 2020 年有 54 个数据。
当我 运行:
n1<-lm(production~Forage* Dep* Region*Year,data = productiondata)
Anova(n1, type = "III")
它告诉我有一个重要的年份术语，所以我会这样做
n1.emm<-emmeans(n1,~Year)
multcomp::cld(n1.emm,Letters = c("cba", LETTERS, letters))
但它给了我
#> Year emmean SE df lower.CL upper.CL .group
#> 2018 0.202 0.0292 180 0.144 0.260 c
#> 2017 0.316 0.0292 180 0.258 0.374 b
#> 2019 nonEst NA NA NA NA
#> 2020 nonEst NA NA NA NA .
是不是因为样本量不平衡？或者我可以先分析2017年和2018年的数据，然后分析2019年和2020年的数据
这里是2017年到2020年的部分数据，包括牧草种类、坡位（Dep）、坡位（Region）等因素。
productiondata<-tibble::tribble(
~Forage, ~Rep, ~Dep, ~Region, ~production, ~Year,
"CM", 1L, "Middle slope", "Front", -0.0757967, 2017L,
"CM", 1L, "Lower slope", "Front", 0.383363317, 2017L,
"CM", 1L, "Upper slope", "Front", 0.20031297, 2017L,
"CM", 1L, "Upper slope", "Mid", 0.102828226, 2017L,
"CM", 1L, "Middle slope", "Mid", 0.137751896, 2017L,
"CM", 1L, "Lower slope", "Mid", 0.186359699, 2017L,
"CM", 1L, "Upper slope", "Back", 0.293134779, 2017L,
"CM", 1L, "Middle slope", "Back", -0.056145226, 2017L,
"CM", 1L, "Lower slope", "Back", 0.110055295, 2017L,
"SF", 1L, "Upper slope", "Front", 0.405797312, 2017L,
"SF", 1L, "Middle slope", "Front", 0.419412779, 2017L,
"SF", 1L, "Lower slope", "Front", 0.175870014, 2017L,
"SF", 1L, "Lower slope", "Mid", 0.021058595, 2017L,
"SF", 1L, "Upper slope", "Mid", 0.457371004, 2017L,
"SF", 1L, "Middle slope", "Mid", 0.176926709, 2017L,
"SF", 1L, "Upper slope", "Back", 0.312558379, 2017L,
"SF", 1L, "Lower slope", "Back", 0.237850393, 2017L,
"SF", 1L, "Middle slope", "Back", 0.27376153, 2017L,
"CM", 2L, "Upper slope", "Front", 0.650740692, 2017L,
"CM", 2L, "Middle slope", "Front", 1.188104115, 2017L,
"CM", 2L, "Lower slope", "Front", 0.395448203, 2017L,
"CM", 2L, "Upper slope", "Mid", 0.424295545, 2017L,
"CM", 2L, "Lower slope", "Mid", 0.164290731, 2017L,
"CM", 2L, "Middle slope", "Mid", 0.40816997, 2017L,
"CM", 2L, "Upper slope", "Back", 0.111238888, 2017L,
"CM", 2L, "Middle slope", "Back", 0.566095643, 2017L,
"CM", 2L, "Lower slope", "Back", 0.918502747, 2017L,
"SF", 2L, "Middle slope", "Front", 0.17000103, 2017L,
"SF", 2L, "Lower slope", "Front", 0.124995501, 2017L,
"SF", 2L, "Upper slope", "Front", 0.361056138, 2017L,
"SF", 2L, "Lower slope", "Mid", 0.154110887, 2017L,
"SF", 2L, "Upper slope", "Mid", 0.135812322, 2017L,
"SF", 2L, "Middle slope", "Mid", 0.220526988, 2017L,
"SF", 2L, "Middle slope", "Back", 1.594788865, 2017L,
"SF", 2L, "Upper slope", "Back", 0.123220876, 2017L,
"SF", 2L, "Lower slope", "Back", 0.171494657, 2017L,
"CM", 3L, "Lower slope", "Front", 0.811326188, 2017L,
"CM", 3L, "Middle slope", "Front", 0.334850017, 2017L,
"CM", 3L, "Upper slope", "Front", 0.30377977, 2017L,
"CM", 3L, "Lower slope", "Mid", 0.340343281, 2017L,
"CM", 3L, "Upper slope", "Mid", 1.191563294, 2017L,
"CM", 3L, "Middle slope", "Mid", 0.494175439, 2017L,
"CM", 3L, "Upper slope", "Back", 0.138654458, 2017L,
"CM", 3L, "Middle slope", "Back", 0.254369827, 2017L,
"CM", 3L, "Lower slope", "Back", 1.176311982, 2017L,
"SF", 3L, "Upper slope", "Front", 0.178139174, 2017L,
"SF", 3L, "Middle slope", "Front", 0.148593992, 2017L,
"SF", 3L, "Lower slope", "Front", 0.328471488, 2017L,
"SF", 3L, "Middle slope", "Mid", 0.141711479, 2017L,
"SF", 3L, "Upper slope", "Mid", 0.194340209, 2017L,
"SF", 3L, "Lower slope", "Mid", 0.254543786, 2017L,
"SF", 3L, "Upper slope", "Back", 0.315270823, 2017L,
"SF", 3L, "Lower slope", "Back", 0.378577187, 2017L,
"SF", 3L, "Middle slope", "Back", 0.166886561, 2017L,
"BM", 1L, "Lower slope", "Front", 0.03738448, 2017L,
"BM", 1L, "Middle slope", "Front", 0.108509969, 2017L,
"BM", 1L, "Upper slope", "Front", 0.237387653, 2017L,
"BM", 1L, "Lower slope", "Mid", 0.247917218, 2017L,
"BM", 1L, "Upper slope", "Mid", 0.851589071, 2017L,
"BM", 1L, "Middle slope", "Mid", 0.451171536, 2017L,
"BM", 1L, "Upper slope", "Back", 0.404444632, 2017L,
"BM", 1L, "Lower slope", "Back", 0.301760361, 2017L,
"BM", 1L, "Middle slope", "Back", 0.127860314, 2017L,
"BM", 2L, "Lower slope", "Front", 0.383069727, 2017L,
"BM", 2L, "Middle slope", "Front", 0.070114468, 2017L,
"BM", 2L, "Upper slope", "Front", 0.303749951, 2017L,
"BM", 2L, "Lower slope", "Mid", 0.133379368, 2017L,
"BM", 2L, "Middle slope", "Mid", 0.358519177, 2017L,
"BM", 2L, "Upper slope", "Mid", -0.007763312, 2017L,
"BM", 2L, "Lower slope", "Back", 0.239034374, 2017L,
"BM", 2L, "Middle slope", "Back", 0.115579213, 2017L,
"BM", 2L, "Upper slope", "Back", 0.349689868, 2017L,
"BM", 3L, "Upper slope", "Front", 0.102937676, 2017L,
"BM", 3L, "Middle slope", "Front", 0.144631271, 2017L,
"BM", 3L, "Lower slope", "Front", 0.555076095, 2017L,
"BM", 3L, "Upper slope", "Mid", 0.139111419, 2017L,
"BM", 3L, "Middle slope", "Mid", 0.112648071, 2017L,
"BM", 3L, "Lower slope", "Mid", 0.419909989, 2017L,
"BM", 3L, "Upper slope", "Back", 0.125487985, 2017L,
"BM", 3L, "Middle slope", "Back", 0.132989815, 2017L,
"BM", 3L, "Lower slope", "Back", 0.360532331, 2017L,
"CM", 1L, "Middle slope", "Front", 0.823211913, 2018L,
"CM", 1L, "Lower slope", "Front", 0.059252546, 2018L,
"CM", 1L, "Upper slope", "Front", 0.2668649, 2018L,
"CM", 1L, "Upper slope", "Mid", 0.415384275, 2018L,
"CM", 1L, "Middle slope", "Mid", 0.230051318, 2018L,
"CM", 1L, "Lower slope", "Mid", 0.035898999, 2018L,
"CM", 1L, "Upper slope", "Back", 0.056801122, 2018L,
"CM", 1L, "Middle slope", "Back", 0.089305575, 2018L,
"CM", 1L, "Lower slope", "Back", 0.1279251, 2018L,
"SF", 1L, "Upper slope", "Front", 0.155458955, 2018L,
"SF", 1L, "Middle slope", "Front", 0.157681983, 2018L,
"SF", 1L, "Lower slope", "Front", 0.289525022, 2018L,
"SF", 1L, "Lower slope", "Mid", 0.148003016, 2018L,
"SF", 1L, "Upper slope", "Mid", 0.186071161, 2018L,
"SF", 1L, "Middle slope", "Mid", 0.159468549, 2018L,
"SF", 1L, "Upper slope", "Back", 0.208308319, 2018L,
"SF", 1L, "Lower slope", "Back", 0.033821257, 2018L,
"SF", 1L, "Middle slope", "Back", 0.090729548, 2018L,
"CM", 2L, "Upper slope", "Front", 0.220152331, 2018L,
"CM", 2L, "Middle slope", "Front", 0.345553942, 2018L,
"CM", 2L, "Lower slope", "Front", 0.183422931, 2018L,
"CM", 2L, "Upper slope", "Mid", 0.337881801, 2018L,
"CM", 2L, "Lower slope", "Mid", 0.191016098, 2018L,
"CM", 2L, "Middle slope", "Mid", 0.066807322, 2018L,
"CM", 2L, "Upper slope", "Back", 0.156634854, 2018L,
"CM", 2L, "Middle slope", "Back", 0.33147729, 2018L,
"CM", 2L, "Lower slope", "Back", 0.507778602, 2018L,
"SF", 2L, "Middle slope", "Front", 0.142964156, 2018L,
"SF", 2L, "Lower slope", "Front", 0.217805981, 2018L,
"SF", 2L, "Upper slope", "Front", -0.016447569, 2018L,
"SF", 2L, "Lower slope", "Mid", 0.088735853, 2018L,
"SF", 2L, "Upper slope", "Mid", 0.067023826, 2018L,
"SF", 2L, "Middle slope", "Mid", 0.090222322, 2018L,
"SF", 2L, "Middle slope", "Back", 0.755210356, 2018L,
"SF", 2L, "Upper slope", "Back", 0.033353859, 2018L,
"SF", 2L, "Lower slope", "Back", 0.069316483, 2018L,
"CM", 3L, "Lower slope", "Front", 0.285738823, 2018L,
"CM", 3L, "Middle slope", "Front", 0.145161028, 2018L,
"CM", 3L, "Upper slope", "Front", 0.496575473, 2018L,
"CM", 3L, "Lower slope", "Mid", 0.113559597, 2018L,
"CM", 3L, "Upper slope", "Mid", 0.313790171, 2018L,
"CM", 3L, "Middle slope", "Mid", 0.074363169, 2018L,
"CM", 3L, "Upper slope", "Back", 0.043558845, 2018L,
"CM", 3L, "Middle slope", "Back", 0.150449662, 2018L,
"CM", 3L, "Lower slope", "Back", 0.302758471, 2018L,
"SF", 3L, "Upper slope", "Front", 0.217500707, 2018L,
"SF", 3L, "Middle slope", "Front", 0.063166278, 2018L,
"SF", 3L, "Lower slope", "Front", 0.226241436, 2018L,
"SF", 3L, "Middle slope", "Mid", 0.058145798, 2018L,
"SF", 3L, "Upper slope", "Mid", 0.726712925, 2018L,
"SF", 3L, "Lower slope", "Mid", 0.076343082, 2018L,
"SF", 3L, "Upper slope", "Back", -0.020454532, 2018L,
"SF", 3L, "Lower slope", "Back", 0.135020917, 2018L,
"SF", 3L, "Middle slope", "Back", 0.126201005, 2018L,
"BM", 1L, "Lower slope", "Front", 0.006827447, 2018L,
"BM", 1L, "Middle slope", "Front", 0.030791791, 2018L,
"BM", 1L, "Upper slope", "Front", 0.113347236, 2018L,
"BM", 1L, "Lower slope", "Mid", 0.612115531, 2018L,
"BM", 1L, "Upper slope", "Mid", 0.823126575, 2018L,
"BM", 1L, "Middle slope", "Mid", 0.164988931, 2018L,
"BM", 1L, "Upper slope", "Back", 0.290850698, 2018L,
"BM", 1L, "Lower slope", "Back", 0.06402747, 2018L,
"BM", 1L, "Middle slope", "Back", 0.018032821, 2018L,
"BM", 2L, "Lower slope", "Front", 1.255409991, 2018L,
"BM", 2L, "Middle slope", "Front", 0.162279939, 2018L,
"BM", 2L, "Upper slope", "Front", 0.090145577, 2018L,
"BM", 2L, "Lower slope", "Mid", 0.08920931, 2018L,
"BM", 2L, "Middle slope", "Mid", 0.160615406, 2018L,
"BM", 2L, "Upper slope", "Mid", 0.005158395, 2018L,
"BM", 2L, "Lower slope", "Back", 0.0579296, 2018L,
"BM", 2L, "Middle slope", "Back", 0.102417402, 2018L,
"BM", 2L, "Upper slope", "Back", 0.133730268, 2018L,
"BM", 3L, "Upper slope", "Front", 0.108384772, 2018L,
"BM", 3L, "Middle slope", "Front", 0.061884038, 2018L,
"BM", 3L, "Lower slope", "Front", 0.452165338, 2018L,
"BM", 3L, "Upper slope", "Mid", 0.023610281, 2018L,
"BM", 3L, "Middle slope", "Mid", 0.054681945, 2018L,
"BM", 3L, "Lower slope", "Mid", 0.162076608, 2018L,
"BM", 3L, "Upper slope", "Back", 0.06616292, 2018L,
"BM", 3L, "Middle slope", "Back", 0.184195079, 2018L,
"BM", 3L, "Lower slope", "Back", 0.206608544, 2018L,
"CM", 1L, "Upper slope", "Back", 0.772985983, 2019L,
"CM", 1L, "Lower slope", "Back", 0.364508409, 2019L,
"CM", 1L, "Lower slope", "Front", 0.243149558, 2019L,
"CM", 1L, "Upper slope", "Front", 0.215994088, 2019L,
"CM", 1L, "Upper slope", "Mid", 0.112061649, 2019L,
"CM", 1L, "Lower slope", "Mid", 0.438087275, 2019L,
"SF", 1L, "Upper slope", "Back", 0.750599185, 2019L,
"SF", 1L, "Lower slope", "Back", 0.267425896, 2019L,
"SF", 1L, "Upper slope", "Front", 0.19840739, 2019L,
"SF", 1L, "Lower slope", "Front", 0.176529734, 2019L,
"SF", 1L, "Lower slope", "Mid", 0.236722914, 2019L,
"SF", 1L, "Upper slope", "Mid", 0.236223726, 2019L,
"CM", 2L, "Upper slope", "Mid", 0.635134498, 2019L,
"CM", 2L, "Lower slope", "Back", 0.372211427, 2019L,
"CM", 2L, "Upper slope", "Front", 0.199820419, 2019L,
"CM", 2L, "Lower slope", "Front", 0.46113438, 2019L,
"CM", 2L, "Lower slope", "Mid", 0.660912878, 2019L,
"CM", 2L, "Upper slope", "Back", 0.11447776, 2019L,
"SF", 2L, "Upper slope", "Mid", 0.294450859, 2019L,
"SF", 2L, "Lower slope", "Mid", 0.414679886, 2019L,
"SF", 2L, "Lower slope", "Front", 0.234473286, 2019L,
"SF", 2L, "Upper slope", "Front", 0.081707982, 2019L,
"SF", 2L, "Upper slope", "Back", 0.147330437, 2019L,
"SF", 2L, "Lower slope", "Back", 0.292489546, 2019L,
"CM", 3L, "Upper slope", "Mid", 0.769036534, 2019L,
"CM", 3L, "Lower slope", "Back", 0.84546713, 2019L,
"CM", 3L, "Lower slope", "Front", 1.041736495, 2019L,
"CM", 3L, "Upper slope", "Front", 0.190840896, 2019L,
"CM", 3L, "Lower slope", "Mid", 0.306522586, 2019L,
"CM", 3L, "Upper slope", "Back", 0.134396212, 2019L,
"SF", 3L, "Upper slope", "Front", 0.490252306, 2019L,
"SF", 3L, "Lower slope", "Mid", 1.139213653, 2019L,
"SF", 3L, "Lower slope", "Front", 0.391245366, 2019L,
"SF", 3L, "Upper slope", "Mid", 0.138360718, 2019L,
"SF", 3L, "Upper slope", "Back", 0.203979966, 2019L,
"SF", 3L, "Lower slope", "Back", 0.999057722, 2019L,
"BM", 1L, "Upper slope", "Mid", 0.530290061, 2019L,
"BM", 1L, "Lower slope", "Mid", 0.530824288, 2019L,
"BM", 1L, "Lower slope", "Front", 0.147126674, 2019L,
"BM", 1L, "Upper slope", "Front", 0.110059696, 2019L,
"BM", 1L, "Upper slope", "Back", 0.359837115, 2019L,
"BM", 1L, "Lower slope", "Back", 1.046260797, 2019L,
"BM", 2L, "Upper slope", "Mid", 0.411154363, 2019L,
"BM", 2L, "Lower slope", "Front", 0.372156901, 2019L,
"BM", 2L, "Upper slope", "Front", 0.127483022, 2019L,
"BM", 2L, "Lower slope", "Mid", 0.164251999, 2019L,
"BM", 2L, "Lower slope", "Back", 0.607006353, 2019L,
"BM", 2L, "Upper slope", "Back", 0.264008902, 2019L,
"BM", 3L, "Upper slope", "Mid", 0.200614369, 2019L,
"BM", 3L, "Lower slope", "Front", 0.198312215, 2019L,
"BM", 3L, "Upper slope", "Front", 0.310858137, 2019L,
"BM", 3L, "Lower slope", "Mid", 0.193117494, 2019L,
"BM", 3L, "Upper slope", "Back", 0.230430021, 2019L,
"BM", 3L, "Lower slope", "Back", 0.196167434, 2019L,
"CM", 1L, "Upper slope", "Back", 0.409807334, 2020L,
"CM", 1L, "Lower slope", "Back", 1.151073187, 2020L,
"CM", 1L, "Lower slope", "Front", 0.623391, 2020L,
"CM", 1L, "Upper slope", "Front", 0.441892889, 2020L,
"CM", 1L, "Upper slope", "Mid", 0.238760633, 2020L,
"CM", 1L, "Lower slope", "Mid", 0.722932125, 2020L,
"SF", 1L, "Upper slope", "Back", 0.232819693, 2020L,
"SF", 1L, "Lower slope", "Back", 0.400936867, 2020L,
"SF", 1L, "Upper slope", "Front", 0.638681473, 2020L,
"SF", 1L, "Lower slope", "Front", 0.642732415, 2020L,
"SF", 1L, "Lower slope", "Mid", 0.176816275, 2020L,
"SF", 1L, "Upper slope", "Mid", 0.671645947, 2020L,
"CM", 2L, "Upper slope", "Mid", 0.490810627, 2020L,
"CM", 2L, "Lower slope", "Back", 0.586205959, 2020L,
"CM", 2L, "Upper slope", "Front", 0.511576498, 2020L,
"CM", 2L, "Lower slope", "Front", 0.703077531, 2020L,
"CM", 2L, "Lower slope", "Mid", 0.85734072, 2020L,
"CM", 2L, "Upper slope", "Back", 0.268919641, 2020L,
"SF", 2L, "Upper slope", "Mid", 0.17324176, 2020L,
"SF", 2L, "Lower slope", "Mid", 0.590438961, 2020L,
"SF", 2L, "Lower slope", "Front", 0.500350299, 2020L,
"SF", 2L, "Upper slope", "Front", 0.333574034, 2020L,
"SF", 2L, "Upper slope", "Back", 0.282617746, 2020L,
"SF", 2L, "Lower slope", "Back", 0.624364392, 2020L,
"CM", 3L, "Upper slope", "Mid", 0.117128287, 2020L,
"CM", 3L, "Lower slope", "Back", 0.509984274, 2020L,
"CM", 3L, "Lower slope", "Front", 0.715619382, 2020L,
"CM", 3L, "Upper slope", "Front", 0.33634171, 2020L,
"CM", 3L, "Lower slope", "Mid", 0.394804475, 2020L,
"CM", 3L, "Upper slope", "Back", 0.381536229, 2020L,
"SF", 3L, "Upper slope", "Front", 0.562928257, 2020L,
"SF", 3L, "Lower slope", "Mid", 0.843107099, 2020L,
"SF", 3L, "Lower slope", "Front", 0.873072304, 2020L,
"SF", 3L, "Upper slope", "Mid", 0.300811764, 2020L,
"SF", 3L, "Upper slope", "Back", 0.773220048, 2020L,
"SF", 3L, "Lower slope", "Back", 1.499352448, 2020L,
"BM", 1L, "Upper slope", "Mid", 0.356242766, 2020L,
"BM", 1L, "Lower slope", "Mid", 0.912103296, 2020L,
"BM", 1L, "Lower slope", "Front", 0.206597753, 2020L,
"BM", 1L, "Upper slope", "Front", 0.30611503, 2020L,
"BM", 1L, "Upper slope", "Back", 0.479452565, 2020L,
"BM", 1L, "Lower slope", "Back", 0.98084807, 2020L,
"BM", 2L, "Upper slope", "Mid", 0.379028643, 2020L,
"BM", 2L, "Lower slope", "Front", 0.490640158, 2020L,
"BM", 2L, "Upper slope", "Front", 0.178256036, 2020L,
"BM", 2L, "Lower slope", "Mid", 0.498560885, 2020L,
"BM", 2L, "Lower slope", "Back", 0.445660456, 2020L,
"BM", 2L, "Upper slope", "Back", 0.3503611, 2020L,
"BM", 3L, "Upper slope", "Mid", 0.386290635, 2020L,
"BM", 3L, "Lower slope", "Front", 0.569205127, 2020L,
"BM", 3L, "Upper slope", "Front", 0.719400452, 2020L,
"BM", 3L, "Lower slope", "Mid", 0.5179629, 2020L,
"BM", 3L, "Upper slope", "Back", 0.41695316, 2020L,
"BM", 3L, "Lower slope", "Back", 0.840314197, 2020L
)
由 reprex package (v2.0.1)
创建于 2022-01-09
emmeans() 检查可估计性，并且不会显示不可估计案例的输出，因为它们无法估计，至少无法估计。该模型未在此处显示，但我的最佳猜测是至少有两个相互作用的因素，并且没有某些因素组合的数据。
这又带来了另一个问题。如果 Year 涉及与其他因素的相互作用，您可能不应该对其他因素进行平均，因为相互作用意味着影响取决于其他因素的水平。将打印一条关于该效果的咨询消息，但也不会显示。人们真的不应该忽视警告。
如果互动有任何意义，那么您不应该进行那些边际比较。如果相互作用可以忽略不计，则在没有它们的情况下重新拟合模型，可估计性问题可能会消失。
我正在尝试使用具有不等大小数据的 emmeans 进行事后测试，我们有 2017 年和 2018 年的 81 个数据，而 2019 年和 2020 年有 54 个数据。 当我 运行:
n1<-lm(production~Forage* Dep* Region*Year,data = productiondata)
Anova(n1, type = "III")
它告诉我有一个重要的年份术语，所以我会这样做
n1.emm<-emmeans(n1,~Year)
multcomp::cld(n1.emm,Letters = c("cba", LETTERS, letters))
但它给了我
#> Year emmean SE df lower.CL upper.CL .group
#> 2018 0.202 0.0292 180 0.144 0.260 c
#> 2017 0.316 0.0292 180 0.258 0.374 b
#> 2019 nonEst NA NA NA NA
#> 2020 nonEst NA NA NA NA .
是不是因为样本量不平衡？或者我可以先分析2017年和2018年的数据，然后分析2019年和2020年的数据
这里是2017年到2020年的部分数据，包括牧草种类、坡位（Dep）、坡位（Region）等因素。
productiondata<-tibble::tribble(
~Forage, ~Rep, ~Dep, ~Region, ~production, ~Year,
"CM", 1L, "Middle slope", "Front", -0.0757967, 2017L,
"CM", 1L, "Lower slope", "Front", 0.383363317, 2017L,
"CM", 1L, "Upper slope", "Front", 0.20031297, 2017L,
"CM", 1L, "Upper slope", "Mid", 0.102828226, 2017L,
"CM", 1L, "Middle slope", "Mid", 0.137751896, 2017L,
"CM", 1L, "Lower slope", "Mid", 0.186359699, 2017L,
"CM", 1L, "Upper slope", "Back", 0.293134779, 2017L,
"CM", 1L, "Middle slope", "Back", -0.056145226, 2017L,
"CM", 1L, "Lower slope", "Back", 0.110055295, 2017L,
"SF", 1L, "Upper slope", "Front", 0.405797312, 2017L,
"SF", 1L, "Middle slope", "Front", 0.419412779, 2017L,
"SF", 1L, "Lower slope", "Front", 0.175870014, 2017L,
"SF", 1L, "Lower slope", "Mid", 0.021058595, 2017L,
"SF", 1L, "Upper slope", "Mid", 0.457371004, 2017L,
"SF", 1L, "Middle slope", "Mid", 0.176926709, 2017L,
"SF", 1L, "Upper slope", "Back", 0.312558379, 2017L,
"SF", 1L, "Lower slope", "Back", 0.237850393, 2017L,
"SF", 1L, "Middle slope", "Back", 0.27376153, 2017L,
"CM", 2L, "Upper slope", "Front", 0.650740692, 2017L,
"CM", 2L, "Middle slope", "Front", 1.188104115, 2017L,
"CM", 2L, "Lower slope", "Front", 0.395448203, 2017L,
"CM", 2L, "Upper slope", "Mid", 0.424295545, 2017L,
"CM", 2L, "Lower slope", "Mid", 0.164290731, 2017L,
"CM", 2L, "Middle slope", "Mid", 0.40816997, 2017L,
"CM", 2L, "Upper slope", "Back", 0.111238888, 2017L,
"CM", 2L, "Middle slope", "Back", 0.566095643, 2017L,
"CM", 2L, "Lower slope", "Back", 0.918502747, 2017L,
"SF", 2L, "Middle slope", "Front", 0.17000103, 2017L,
"SF", 2L, "Lower slope", "Front", 0.124995501, 2017L,
"SF", 2L, "Upper slope", "Front", 0.361056138, 2017L,
"SF", 2L, "Lower slope", "Mid", 0.154110887, 2017L,
"SF", 2L, "Upper slope", "Mid", 0.135812322, 2017L,
"SF", 2L, "Middle slope", "Mid", 0.220526988, 2017L,
"SF", 2L, "Middle slope", "Back", 1.594788865, 2017L,
"SF", 2L, "Upper slope", "Back", 0.123220876, 2017L,
"SF", 2L, "Lower slope", "Back", 0.171494657, 2017L,
"CM", 3L, "Lower slope", "Front", 0.811326188, 2017L,
"CM", 3L, "Middle slope", "Front", 0.334850017, 2017L,
"CM", 3L, "Upper slope", "Front", 0.30377977, 2017L,
"CM", 3L, "Lower slope", "Mid", 0.340343281, 2017L,
"CM", 3L, "Upper slope", "Mid", 1.191563294, 2017L,
"CM", 3L, "Middle slope", "Mid", 0.494175439, 2017L,
"CM", 3L, "Upper slope", "Back", 0.138654458, 2017L,
"CM", 3L, "Middle slope", "Back", 0.254369827, 2017L,
"CM", 3L, "Lower slope", "Back", 1.176311982, 2017L,
"SF", 3L, "Upper slope", "Front", 0.178139174, 2017L,
"SF", 3L, "Middle slope", "Front", 0.148593992, 2017L,
"SF", 3L, "Lower slope", "Front", 0.328471488, 2017L,
"SF", 3L, "Middle slope", "Mid", 0.141711479, 2017L,
"SF", 3L, "Upper slope", "Mid", 0.194340209, 2017L,
"SF", 3L, "Lower slope", "Mid", 0.254543786, 2017L,
"SF", 3L, "Upper slope", "Back", 0.315270823, 2017L,
"SF", 3L, "Lower slope", "Back", 0.378577187, 2017L,
"SF", 3L, "Middle slope", "Back", 0.166886561, 2017L,
"BM", 1L, "Lower slope", "Front", 0.03738448, 2017L,
"BM", 1L, "Middle slope", "Front", 0.108509969, 2017L,
"BM", 1L, "Upper slope", "Front", 0.237387653, 2017L,
"BM", 1L, "Lower slope", "Mid", 0.247917218, 2017L,
"BM", 1L, "Upper slope", "Mid", 0.851589071, 2017L,
"BM", 1L, "Middle slope", "Mid", 0.451171536, 2017L,
"BM", 1L, "Upper slope", "Back", 0.404444632, 2017L,
"BM", 1L, "Lower slope", "Back", 0.301760361, 2017L,
"BM", 1L, "Middle slope", "Back", 0.127860314, 2017L,
"BM", 2L, "Lower slope", "Front", 0.383069727, 2017L,
"BM", 2L, "Middle slope", "Front", 0.070114468, 2017L,
"BM", 2L, "Upper slope", "Front", 0.303749951, 2017L,
"BM", 2L, "Lower slope", "Mid", 0.133379368, 2017L,
"BM", 2L, "Middle slope", "Mid", 0.358519177, 2017L,
"BM", 2L, "Upper slope", "Mid", -0.007763312, 2017L,
"BM", 2L, "Lower slope", "Back", 0.239034374, 2017L,
"BM", 2L, "Middle slope", "Back", 0.115579213, 2017L,
"BM", 2L, "Upper slope", "Back", 0.349689868, 2017L,
"BM", 3L, "Upper slope", "Front", 0.102937676, 2017L,
"BM", 3L, "Middle slope", "Front", 0.144631271, 2017L,
"BM", 3L, "Lower slope", "Front", 0.555076095, 2017L,
"BM", 3L, "Upper slope", "Mid", 0.139111419, 2017L,
"BM", 3L, "Middle slope", "Mid", 0.112648071, 2017L,
"BM", 3L, "Lower slope", "Mid", 0.419909989, 2017L,
"BM", 3L, "Upper slope", "Back", 0.125487985, 2017L,
"BM", 3L, "Middle slope", "Back", 0.132989815, 2017L,
"BM", 3L, "Lower slope", "Back", 0.360532331, 2017L,
"CM", 1L, "Middle slope", "Front", 0.823211913, 2018L,
"CM", 1L, "Lower slope", "Front", 0.059252546, 2018L,
"CM", 1L, "Upper slope", "Front", 0.2668649, 2018L,
"CM", 1L, "Upper slope", "Mid", 0.415384275, 2018L,
"CM", 1L, "Middle slope", "Mid", 0.230051318, 2018L,
"CM", 1L, "Lower slope", "Mid", 0.035898999, 2018L,
"CM", 1L, "Upper slope", "Back", 0.056801122, 2018L,
"CM", 1L, "Middle slope", "Back", 0.089305575, 2018L,
"CM", 1L, "Lower slope", "Back", 0.1279251, 2018L,
"SF", 1L, "Upper slope", "Front", 0.155458955, 2018L,
"SF", 1L, "Middle slope", "Front", 0.157681983, 2018L,
"SF", 1L, "Lower slope", "Front", 0.289525022, 2018L,
"SF", 1L, "Lower slope", "Mid", 0.148003016, 2018L,
"SF", 1L, "Upper slope", "Mid", 0.186071161, 2018L,
"SF", 1L, "Middle slope", "Mid", 0.159468549, 2018L,
"SF", 1L, "Upper slope", "Back", 0.208308319, 2018L,
"SF", 1L, "Lower slope", "Back", 0.033821257, 2018L,
"SF", 1L, "Middle slope", "Back", 0.090729548, 2018L,
"CM", 2L, "Upper slope", "Front", 0.220152331, 2018L,
"CM", 2L, "Middle slope", "Front", 0.345553942, 2018L,
"CM", 2L, "Lower slope", "Front", 0.183422931, 2018L,
"CM", 2L, "Upper slope", "Mid", 0.337881801, 2018L,
"CM", 2L, "Lower slope", "Mid", 0.191016098, 2018L,
"CM", 2L, "Middle slope", "Mid", 0.066807322, 2018L,
"CM", 2L, "Upper slope", "Back", 0.156634854, 2018L,
"CM", 2L, "Middle slope", "Back", 0.33147729, 2018L,
"CM", 2L, "Lower slope", "Back", 0.507778602, 2018L,
"SF", 2L, "Middle slope", "Front", 0.142964156, 2018L,
"SF", 2L, "Lower slope", "Front", 0.217805981, 2018L,
"SF", 2L, "Upper slope", "Front", -0.016447569, 2018L,
"SF", 2L, "Lower slope", "Mid", 0.088735853, 2018L,
"SF", 2L, "Upper slope", "Mid", 0.067023826, 2018L,
"SF", 2L, "Middle slope", "Mid", 0.090222322, 2018L,
"SF", 2L, "Middle slope", "Back", 0.755210356, 2018L,
"SF", 2L, "Upper slope", "Back", 0.033353859, 2018L,
"SF", 2L, "Lower slope", "Back", 0.069316483, 2018L,
"CM", 3L, "Lower slope", "Front", 0.285738823, 2018L,
"CM", 3L, "Middle slope", "Front", 0.145161028, 2018L,
"CM", 3L, "Upper slope", "Front", 0.496575473, 2018L,
"CM", 3L, "Lower slope", "Mid", 0.113559597, 2018L,
"CM", 3L, "Upper slope", "Mid", 0.313790171, 2018L,
"CM", 3L, "Middle slope", "Mid", 0.074363169, 2018L,
"CM", 3L, "Upper slope", "Back", 0.043558845, 2018L,
"CM", 3L, "Middle slope", "Back", 0.150449662, 2018L,
"CM", 3L, "Lower slope", "Back", 0.302758471, 2018L,
"SF", 3L, "Upper slope", "Front", 0.217500707, 2018L,
"SF", 3L, "Middle slope", "Front", 0.063166278, 2018L,
"SF", 3L, "Lower slope", "Front", 0.226241436, 2018L,
"SF", 3L, "Middle slope", "Mid", 0.058145798, 2018L,
"SF", 3L, "Upper slope", "Mid", 0.726712925, 2018L,
"SF", 3L, "Lower slope", "Mid", 0.076343082, 2018L,
"SF", 3L, "Upper slope", "Back", -0.020454532, 2018L,
"SF", 3L, "Lower slope", "Back", 0.135020917, 2018L,
"SF", 3L, "Middle slope", "Back", 0.126201005, 2018L,
"BM", 1L, "Lower slope", "Front", 0.006827447, 2018L,
"BM", 1L, "Middle slope", "Front", 0.030791791, 2018L,
"BM", 1L, "Upper slope", "Front", 0.113347236, 2018L,
"BM", 1L, "Lower slope", "Mid", 0.612115531, 2018L,
"BM", 1L, "Upper slope", "Mid", 0.823126575, 2018L,
"BM", 1L, "Middle slope", "Mid", 0.164988931, 2018L,
"BM", 1L, "Upper slope", "Back", 0.290850698, 2018L,
"BM", 1L, "Lower slope", "Back", 0.06402747, 2018L,
"BM", 1L, "Middle slope", "Back", 0.018032821, 2018L,
"BM", 2L, "Lower slope", "Front", 1.255409991, 2018L,
"BM", 2L, "Middle slope", "Front", 0.162279939, 2018L,
"BM", 2L, "Upper slope", "Front", 0.090145577, 2018L,
"BM", 2L, "Lower slope", "Mid", 0.08920931, 2018L,
"BM", 2L, "Middle slope", "Mid", 0.160615406, 2018L,
"BM", 2L, "Upper slope", "Mid", 0.005158395, 2018L,
"BM", 2L, "Lower slope", "Back", 0.0579296, 2018L,
"BM", 2L, "Middle slope", "Back", 0.102417402, 2018L,
"BM", 2L, "Upper slope", "Back", 0.133730268, 2018L,
"BM", 3L, "Upper slope", "Front", 0.108384772, 2018L,
"BM", 3L, "Middle slope", "Front", 0.061884038, 2018L,
"BM", 3L, "Lower slope", "Front", 0.452165338, 2018L,
"BM", 3L, "Upper slope", "Mid", 0.023610281, 2018L,
"BM", 3L, "Middle slope", "Mid", 0.054681945, 2018L,
"BM", 3L, "Lower slope", "Mid", 0.162076608, 2018L,
"BM", 3L, "Upper slope", "Back", 0.06616292, 2018L,
"BM", 3L, "Middle slope", "Back", 0.184195079, 2018L,
"BM", 3L, "Lower slope", "Back", 0.206608544, 2018L,
"CM", 1L, "Upper slope", "Back", 0.772985983, 2019L,
"CM", 1L, "Lower slope", "Back", 0.364508409, 2019L,
"CM", 1L, "Lower slope", "Front", 0.243149558, 2019L,
"CM", 1L, "Upper slope", "Front", 0.215994088, 2019L,
"CM", 1L, "Upper slope", "Mid", 0.112061649, 2019L,
"CM", 1L, "Lower slope", "Mid", 0.438087275, 2019L,
"SF", 1L, "Upper slope", "Back", 0.750599185, 2019L,
"SF", 1L, "Lower slope", "Back", 0.267425896, 2019L,
"SF", 1L, "Upper slope", "Front", 0.19840739, 2019L,
"SF", 1L, "Lower slope", "Front", 0.176529734, 2019L,
"SF", 1L, "Lower slope", "Mid", 0.236722914, 2019L,
"SF", 1L, "Upper slope", "Mid", 0.236223726, 2019L,
"CM", 2L, "Upper slope", "Mid", 0.635134498, 2019L,
"CM", 2L, "Lower slope", "Back", 0.372211427, 2019L,
"CM", 2L, "Upper slope", "Front", 0.199820419, 2019L,
"CM", 2L, "Lower slope", "Front", 0.46113438, 2019L,
"CM", 2L, "Lower slope", "Mid", 0.660912878, 2019L,
"CM", 2L, "Upper slope", "Back", 0.11447776, 2019L,
"SF", 2L, "Upper slope", "Mid", 0.294450859, 2019L,
"SF", 2L, "Lower slope", "Mid", 0.414679886, 2019L,
"SF", 2L, "Lower slope", "Front", 0.234473286, 2019L,
"SF", 2L, "Upper slope", "Front", 0.081707982, 2019L,
"SF", 2L, "Upper slope", "Back", 0.147330437, 2019L,
"SF", 2L, "Lower slope", "Back", 0.292489546, 2019L,
"CM", 3L, "Upper slope", "Mid", 0.769036534, 2019L,
"CM", 3L, "Lower slope", "Back", 0.84546713, 2019L,
"CM", 3L, "Lower slope", "Front", 1.041736495, 2019L,
"CM", 3L, "Upper slope", "Front", 0.190840896, 2019L,
"CM", 3L, "Lower slope", "Mid", 0.306522586, 2019L,
"CM", 3L, "Upper slope", "Back", 0.134396212, 2019L,
"SF", 3L, "Upper slope", "Front", 0.490252306, 2019L,
"SF", 3L, "Lower slope", "Mid", 1.139213653, 2019L,
"SF", 3L, "Lower slope", "Front", 0.391245366, 2019L,
"SF", 3L, "Upper slope", "Mid", 0.138360718, 2019L,
"SF", 3L, "Upper slope", "Back", 0.203979966, 2019L,
"SF", 3L, "Lower slope", "Back", 0.999057722, 2019L,
"BM", 1L, "Upper slope", "Mid", 0.530290061, 2019L,
"BM", 1L, "Lower slope", "Mid", 0.530824288, 2019L,
"BM", 1L, "Lower slope", "Front", 0.147126674, 2019L,
"BM", 1L, "Upper slope", "Front", 0.110059696, 2019L,
"BM", 1L, "Upper slope", "Back", 0.359837115, 2019L,
"BM", 1L, "Lower slope", "Back", 1.046260797, 2019L,
"BM", 2L, "Upper slope", "Mid", 0.411154363, 2019L,
"BM", 2L, "Lower slope", "Front", 0.372156901, 2019L,
"BM", 2L, "Upper slope", "Front", 0.127483022, 2019L,
"BM", 2L, "Lower slope", "Mid", 0.164251999, 2019L,
"BM", 2L, "Lower slope", "Back", 0.607006353, 2019L,
"BM", 2L, "Upper slope", "Back", 0.264008902, 2019L,
"BM", 3L, "Upper slope", "Mid", 0.200614369, 2019L,
"BM", 3L, "Lower slope", "Front", 0.198312215, 2019L,
"BM", 3L, "Upper slope", "Front", 0.310858137, 2019L,
"BM", 3L, "Lower slope", "Mid", 0.193117494, 2019L,
"BM", 3L, "Upper slope", "Back", 0.230430021, 2019L,
"BM", 3L, "Lower slope", "Back", 0.196167434, 2019L,
"CM", 1L, "Upper slope", "Back", 0.409807334, 2020L,
"CM", 1L, "Lower slope", "Back", 1.151073187, 2020L,
"CM", 1L, "Lower slope", "Front", 0.623391, 2020L,
"CM", 1L, "Upper slope", "Front", 0.441892889, 2020L,
"CM", 1L, "Upper slope", "Mid", 0.238760633, 2020L,
"CM", 1L, "Lower slope", "Mid", 0.722932125, 2020L,
"SF", 1L, "Upper slope", "Back", 0.232819693, 2020L,
"SF", 1L, "Lower slope", "Back", 0.400936867, 2020L,
"SF", 1L, "Upper slope", "Front", 0.638681473, 2020L,
"SF", 1L, "Lower slope", "Front", 0.642732415, 2020L,
"SF", 1L, "Lower slope", "Mid", 0.176816275, 2020L,
"SF", 1L, "Upper slope", "Mid", 0.671645947, 2020L,
"CM", 2L, "Upper slope", "Mid", 0.490810627, 2020L,
"CM", 2L, "Lower slope", "Back", 0.586205959, 2020L,
"CM", 2L, "Upper slope", "Front", 0.511576498, 2020L,
"CM", 2L, "Lower slope", "Front", 0.703077531, 2020L,
"CM", 2L, "Lower slope", "Mid", 0.85734072, 2020L,
"CM", 2L, "Upper slope", "Back", 0.268919641, 2020L,
"SF", 2L, "Upper slope", "Mid", 0.17324176, 2020L,
"SF", 2L, "Lower slope", "Mid", 0.590438961, 2020L,
"SF", 2L, "Lower slope", "Front", 0.500350299, 2020L,
"SF", 2L, "Upper slope", "Front", 0.333574034, 2020L,
"SF", 2L, "Upper slope", "Back", 0.282617746, 2020L,
"SF", 2L, "Lower slope", "Back", 0.624364392, 2020L,
"CM", 3L, "Upper slope", "Mid", 0.117128287, 2020L,
"CM", 3L, "Lower slope", "Back", 0.509984274, 2020L,
"CM", 3L, "Lower slope", "Front", 0.715619382, 2020L,
"CM", 3L, "Upper slope", "Front", 0.33634171, 2020L,
"CM", 3L, "Lower slope", "Mid", 0.394804475, 2020L,
"CM", 3L, "Upper slope", "Back", 0.381536229, 2020L,
"SF", 3L, "Upper slope", "Front", 0.562928257, 2020L,
"SF", 3L, "Lower slope", "Mid", 0.843107099, 2020L,
"SF", 3L, "Lower slope", "Front", 0.873072304, 2020L,
"SF", 3L, "Upper slope", "Mid", 0.300811764, 2020L,
"SF", 3L, "Upper slope", "Back", 0.773220048, 2020L,
"SF", 3L, "Lower slope", "Back", 1.499352448, 2020L,
"BM", 1L, "Upper slope", "Mid", 0.356242766, 2020L,
"BM", 1L, "Lower slope", "Mid", 0.912103296, 2020L,
"BM", 1L, "Lower slope", "Front", 0.206597753, 2020L,
"BM", 1L, "Upper slope", "Front", 0.30611503, 2020L,
"BM", 1L, "Upper slope", "Back", 0.479452565, 2020L,
"BM", 1L, "Lower slope", "Back", 0.98084807, 2020L,
"BM", 2L, "Upper slope", "Mid", 0.379028643, 2020L,
"BM", 2L, "Lower slope", "Front", 0.490640158, 2020L,
"BM", 2L, "Upper slope", "Front", 0.178256036, 2020L,
"BM", 2L, "Lower slope", "Mid", 0.498560885, 2020L,
"BM", 2L, "Lower slope", "Back", 0.445660456, 2020L,
"BM", 2L, "Upper slope", "Back", 0.3503611, 2020L,
"BM", 3L, "Upper slope", "Mid", 0.386290635, 2020L,
"BM", 3L, "Lower slope", "Front", 0.569205127, 2020L,
"BM", 3L, "Upper slope", "Front", 0.719400452, 2020L,
"BM", 3L, "Lower slope", "Mid", 0.5179629, 2020L,
"BM", 3L, "Upper slope", "Back", 0.41695316, 2020L,
"BM", 3L, "Lower slope", "Back", 0.840314197, 2020L
)
由 reprex package (v2.0.1)
创建于 2022-01-09emmeans() 检查可估计性，并且不会显示不可估计案例的输出，因为它们无法估计，至少无法估计。该模型未在此处显示，但我的最佳猜测是至少有两个相互作用的因素，并且没有某些因素组合的数据。
这又带来了另一个问题。如果 Year 涉及与其他因素的相互作用，您可能不应该对其他因素进行平均，因为相互作用意味着影响取决于其他因素的水平。将打印一条关于该效果的咨询消息，但也不会显示。人们真的不应该忽视警告。
如果互动有任何意义，那么您不应该进行那些边际比较。如果相互作用可以忽略不计，则在没有它们的情况下重新拟合模型，可估计性问题可能会消失。