Last updated: 2021-09-14

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Rmd 9ba7a9d ajpelu 2021-09-14 add analysis by date Fire

Prepare data

raw_soil <- readxl::read_excel(here::here("data/Resultados_Suelos_2018_2021_v2.xlsx"), 
    sheet = "SEGUIMIENTO_SUELOS_sin_ouliers") %>% janitor::clean_names() %>% mutate(treatment_name = case_when(str_detect(geo_parcela_nombre, 
    "NP_") ~ "Autumn Burning / No Browsing", str_detect(geo_parcela_nombre, "PR_") ~ 
    "Spring Burning / Browsing", str_detect(geo_parcela_nombre, "P_") ~ "Autumn Burning / Browsing"), 
    zona = case_when(str_detect(geo_parcela_nombre, "NP_") ~ "QOt_NP", str_detect(geo_parcela_nombre, 
        "PR_") ~ "QPr_P", str_detect(geo_parcela_nombre, "P_") ~ "QOt_P"), fechaQuema = case_when(str_detect(geo_parcela_nombre, 
        "NP_") ~ "Ot", str_detect(geo_parcela_nombre, "PR_") ~ "Pr", str_detect(geo_parcela_nombre, 
        "P_") ~ "Ot"), fecha = lubridate::ymd(fecha), momento = case_when(pre_post_quema == 
        "Prequema" ~ "0 preQuema", pre_post_quema == "Postquema" ~ "1 postQuema"))
  • Select data pre- and intermediately post-fire (first post-fire sampling: “2018-12-20” and “2019-05-09” for autumn and spring fires respectively)
soil <- raw_soil %>% filter(fecha %in% lubridate::ymd(c("2018-12-11", "2018-12-20", 
    "2019-04-24", "2019-05-09"))) %>% mutate(zona = as.factor(zona), momento = as.factor(momento))
  • Structure of the data
             fechaQuema
momento       Ot Pr
  0 preQuema  48 24
  1 postQuema 48 24

Modelize

  • For each response variable, the approach modelling is

\(Y \sim fechaQuema (Ot|Pr) + momento(pre|post) + fechaQuema \times momento\)

  • using the “(1|fechaQuema:geo_parcela_nombre)” as nested random effects

  • Then explore error distribution of the variable response and model diagnostics

  • Select the appropiate error distribution and use LMM or GLMM

  • Explore Post-hoc

  • Plot interactions

Humedad

Model

Type III Analysis of Variance Table with Satterthwaite's method
                   Sum Sq Mean Sq NumDF DenDF F value    Pr(>F)    
momento            461.74  461.74     1   130 50.4197 7.257e-11 ***
fechaQuema           0.53    0.53     1    10  0.0575    0.8153    
momento:fechaQuema 439.95  439.95     1   130 48.0407 1.748e-10 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
                        Sum Sq     Mean Sq NumDF DenDF     F value       Pr(>F)
momento            461.7404592 461.7404592     1   130 50.41969020 7.256505e-11
fechaQuema           0.5268064   0.5268064     1    10  0.05752456 8.152969e-01
momento:fechaQuema 439.9539281 439.9539281     1   130 48.04071273 1.748462e-10
                   variable             factor
momento             humedad            momento
fechaQuema          humedad         fechaQuema
momento:fechaQuema  humedad momento:fechaQuema

Post-hoc

$`emmeans of momento`
 momento     emmean    SE   df lower.CL upper.CL
 0 preQuema    13.9 0.689 13.8    12.44     15.4
 1 postQuema   10.1 0.689 13.8     8.64     11.6

Results are averaged over the levels of: fechaQuema 
Degrees-of-freedom method: kenward-roger 
Confidence level used: 0.95 

$`pairwise differences of momento`
 1                        estimate    SE  df t.ratio p.value
 0 preQuema - 1 postQuema      3.8 0.535 130 7.101   <.0001 

Results are averaged over the levels of: fechaQuema 
Degrees-of-freedom method: kenward-roger 
$`emmeans of fechaQuema`
 fechaQuema emmean    SE df lower.CL upper.CL
 Ot           12.2 0.734 10    10.54     13.8
 Pr           11.9 1.038 10     9.56     14.2

Results are averaged over the levels of: momento 
Degrees-of-freedom method: kenward-roger 
Confidence level used: 0.95 

$`pairwise differences of fechaQuema`
 1       estimate   SE df t.ratio p.value
 Ot - Pr    0.305 1.27 10 0.240   0.8153 

Results are averaged over the levels of: momento 
Degrees-of-freedom method: kenward-roger 
$`emmeans of momento | fechaQuema`
fechaQuema = Ot:
 momento     emmean    SE   df lower.CL upper.CL
 0 preQuema   12.22 0.796 13.8     10.5     13.9
 1 postQuema  12.13 0.796 13.8     10.4     13.8

fechaQuema = Pr:
 momento     emmean    SE   df lower.CL upper.CL
 0 preQuema   15.62 1.126 13.8     13.2     18.0
 1 postQuema   8.11 1.126 13.8      5.7     10.5

Degrees-of-freedom method: kenward-roger 
Confidence level used: 0.95 

$`pairwise differences of momento | fechaQuema`
fechaQuema = Ot:
 2                        estimate    SE  df t.ratio p.value
 0 preQuema - 1 postQuema   0.0907 0.618 130 0.147   0.8835 

fechaQuema = Pr:
 2                        estimate    SE  df t.ratio p.value
 0 preQuema - 1 postQuema   7.5065 0.874 130 8.593   <.0001 

Degrees-of-freedom method: kenward-roger 

CIC

Model

Type III Analysis of Variance Table with Satterthwaite's method
                   Sum Sq Mean Sq NumDF DenDF F value  Pr(>F)  
momento            18.503  18.503     1   130  5.1118 0.02543 *
fechaQuema         35.605  35.605     1    10  9.8361 0.01058 *
momento:fechaQuema  8.337   8.337     1   130  2.3031 0.13154  
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
                      Sum Sq   Mean Sq NumDF      DenDF  F value     Pr(>F)
momento            18.503472 18.503472     1 130.000001 5.111751 0.02542616
fechaQuema         35.604511 35.604511     1   9.999998 9.836067 0.01057742
momento:fechaQuema  8.336806  8.336806     1 130.000001 2.303118 0.13154272
                   variable             factor
momento                 cic            momento
fechaQuema              cic         fechaQuema
momento:fechaQuema      cic momento:fechaQuema

Post-hoc

$`emmeans of momento`
 momento     emmean    SE   df lower.CL upper.CL
 0 preQuema    14.9 0.496 12.8     13.8     16.0
 1 postQuema   14.1 0.496 12.8     13.1     15.2

Results are averaged over the levels of: fechaQuema 
Degrees-of-freedom method: kenward-roger 
Confidence level used: 0.95 

$`pairwise differences of momento`
 1                        estimate    SE  df t.ratio p.value
 0 preQuema - 1 postQuema     0.76 0.336 130 2.261   0.0254 

Results are averaged over the levels of: fechaQuema 
Degrees-of-freedom method: kenward-roger 
$`emmeans of fechaQuema`
 fechaQuema emmean    SE df lower.CL upper.CL
 Ot             16 0.539 10     14.8     17.2
 Pr             13 0.762 10     11.3     14.7

Results are averaged over the levels of: momento 
Degrees-of-freedom method: kenward-roger 
Confidence level used: 0.95 

$`pairwise differences of fechaQuema`
 1       estimate    SE df t.ratio p.value
 Ot - Pr     2.93 0.933 10 3.136   0.0106 

Results are averaged over the levels of: momento 
Degrees-of-freedom method: kenward-roger 
$`emmeans of momento | fechaQuema`
fechaQuema = Ot:
 momento     emmean    SE   df lower.CL upper.CL
 0 preQuema    16.6 0.573 12.8     15.4     17.8
 1 postQuema   15.3 0.573 12.8     14.1     16.6

fechaQuema = Pr:
 momento     emmean    SE   df lower.CL upper.CL
 0 preQuema    13.2 0.810 12.8     11.4     14.9
 1 postQuema   12.9 0.810 12.8     11.2     14.7

Degrees-of-freedom method: kenward-roger 
Confidence level used: 0.95 

$`pairwise differences of momento | fechaQuema`
fechaQuema = Ot:
 2                        estimate    SE  df t.ratio p.value
 0 preQuema - 1 postQuema     1.27 0.388 130 3.272   0.0014 

fechaQuema = Pr:
 2                        estimate    SE  df t.ratio p.value
 0 preQuema - 1 postQuema     0.25 0.549 130 0.455   0.6497 

Degrees-of-freedom method: kenward-roger 

C

Model

Type III Analysis of Variance Table with Satterthwaite's method
                    Sum Sq Mean Sq NumDF DenDF F value  Pr(>F)  
momento            13.3214 13.3214     1   130  6.1796 0.01419 *
fechaQuema          0.2542  0.2542     1    10  0.1179 0.73843  
momento:fechaQuema  0.5636  0.5636     1   130  0.2614 0.61001  
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
                       Sum Sq    Mean Sq NumDF      DenDF   F value     Pr(>F)
momento            13.3214014 13.3214014     1 130.000000 6.1795805 0.01419189
fechaQuema          0.2541669  0.2541669     1   9.999999 0.1179039 0.73842869
momento:fechaQuema  0.5635681  0.5635681     1 130.000000 0.2614300 0.61000674
                    variable             factor
momento            c_percent            momento
fechaQuema         c_percent         fechaQuema
momento:fechaQuema c_percent momento:fechaQuema

Post-hoc

$`emmeans of momento`
 momento     emmean    SE   df lower.CL upper.CL
 0 preQuema    7.14 0.455 11.8     6.14     8.13
 1 postQuema   7.78 0.455 11.8     6.79     8.77

Results are averaged over the levels of: fechaQuema 
Degrees-of-freedom method: kenward-roger 
Confidence level used: 0.95 

$`pairwise differences of momento`
 1                        estimate   SE  df t.ratio p.value
 0 preQuema - 1 postQuema   -0.645 0.26 130 -2.486  0.0142 

Results are averaged over the levels of: fechaQuema 
Degrees-of-freedom method: kenward-roger 
$`emmeans of fechaQuema`
 fechaQuema emmean    SE df lower.CL upper.CL
 Ot           7.61 0.503 10     6.49     8.73
 Pr           7.31 0.712 10     5.72     8.90

Results are averaged over the levels of: momento 
Degrees-of-freedom method: kenward-roger 
Confidence level used: 0.95 

$`pairwise differences of fechaQuema`
 1       estimate    SE df t.ratio p.value
 Ot - Pr    0.299 0.872 10 0.343   0.7384 

Results are averaged over the levels of: momento 
Degrees-of-freedom method: kenward-roger 
$`emmeans of momento | fechaQuema`
fechaQuema = Ot:
 momento     emmean    SE   df lower.CL upper.CL
 0 preQuema    7.22 0.525 11.8     6.07     8.37
 1 postQuema   8.00 0.525 11.8     6.85     9.14

fechaQuema = Pr:
 momento     emmean    SE   df lower.CL upper.CL
 0 preQuema    7.05 0.743 11.8     5.43     8.67
 1 postQuema   7.57 0.743 11.8     5.95     9.19

Degrees-of-freedom method: kenward-roger 
Confidence level used: 0.95 

$`pairwise differences of momento | fechaQuema`
fechaQuema = Ot:
 2                        estimate    SE  df t.ratio p.value
 0 preQuema - 1 postQuema   -0.778 0.300 130 -2.596  0.0105 

fechaQuema = Pr:
 2                        estimate    SE  df t.ratio p.value
 0 preQuema - 1 postQuema   -0.512 0.424 130 -1.209  0.2288 

Degrees-of-freedom method: kenward-roger 

Fe

Model

Fitting one lmer() model. [DONE]
Calculating p-values. [DONE]
Mixed Model Anova Table (Type 3 tests, KR-method)

Model: fe_percent ~ momento * fechaQuema + (1 | fechaQuema:geo_parcela_nombre)
Data: df_model
              Effect     df    F p.value
1            momento 1, 130 0.28    .598
2         fechaQuema  1, 10 0.46    .512
3 momento:fechaQuema 1, 130 0.21    .648
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '+' 0.1 ' ' 1
Fitting one lmer() model. [DONE]
Calculating p-values. [DONE]
Mixed Model Anova Table (Type 3 tests, KR-method)

Model: fe_percent ~ momento * fechaQuema + (1 | fechaQuema:geo_parcela_nombre)
Data: df_model
                   num Df den Df      F Pr(>F)
momento                 1    130 0.2796 0.5979
fechaQuema              1     10 0.4631 0.5116
momento:fechaQuema      1    130 0.2093 0.6481

Post-hoc

$`emmeans of momento`
 momento     emmean    SE  df asymp.LCL asymp.UCL
 0 preQuema   0.545 0.036 Inf     0.475     0.616
 1 postQuema  0.554 0.036 Inf     0.484     0.625

Results are averaged over the levels of: fechaQuema 
Results are given on the inverse (not the response) scale. 
Confidence level used: 0.95 

$`pairwise differences of momento`
 1                        estimate     SE  df z.ratio p.value
 0 preQuema - 1 postQuema -0.00898 0.0167 Inf -0.539  0.5898 

Results are averaged over the levels of: fechaQuema 
Note: contrasts are still on the inverse scale 
$`emmeans of fechaQuema`
 fechaQuema emmean     SE  df asymp.LCL asymp.UCL
 Ot          0.568 0.0398 Inf     0.490     0.646
 Pr          0.532 0.0573 Inf     0.419     0.644

Results are averaged over the levels of: momento 
Results are given on the inverse (not the response) scale. 
Confidence level used: 0.95 

$`pairwise differences of fechaQuema`
 1       estimate     SE  df z.ratio p.value
 Ot - Pr   0.0364 0.0695 Inf 0.524   0.6006 

Results are averaged over the levels of: momento 
Note: contrasts are still on the inverse scale 
$`emmeans of momento | fechaQuema`
fechaQuema = Ot:
 momento     emmean     SE  df asymp.LCL asymp.UCL
 0 preQuema   0.559 0.0410 Inf     0.479     0.640
 1 postQuema  0.576 0.0411 Inf     0.496     0.657

fechaQuema = Pr:
 momento     emmean     SE  df asymp.LCL asymp.UCL
 0 preQuema   0.531 0.0588 Inf     0.416     0.646
 1 postQuema  0.532 0.0588 Inf     0.417     0.647

Results are given on the inverse (not the response) scale. 
Confidence level used: 0.95 

$`pairwise differences of momento | fechaQuema`
fechaQuema = Ot:
 2                        estimate     SE  df z.ratio p.value
 0 preQuema - 1 postQuema -0.01688 0.0200 Inf -0.843  0.3991 

fechaQuema = Pr:
 2                        estimate     SE  df z.ratio p.value
 0 preQuema - 1 postQuema -0.00109 0.0266 Inf -0.041  0.9675 

Note: contrasts are still on the inverse scale 

MO

Model

Fitting one lmer() model. [DONE]
Calculating p-values. [DONE]
Mixed Model Anova Table (Type 3 tests, KR-method)

Model: mo ~ momento * fechaQuema + (1 | fechaQuema:geo_parcela_nombre)
Data: df_model
              Effect     df         F p.value
1            momento 1, 130      0.60    .439
2         fechaQuema  1, 10 35.18 ***   <.001
3 momento:fechaQuema 1, 130      0.91    .341
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '+' 0.1 ' ' 1
Fitting one lmer() model. [DONE]
Calculating p-values. [DONE]
Mixed Model Anova Table (Type 3 tests, KR-method)

Model: mo ~ momento * fechaQuema + (1 | fechaQuema:geo_parcela_nombre)
Data: df_model
                   num Df den Df       F    Pr(>F)    
momento                 1    130  0.6020 0.4392419    
fechaQuema              1     10 35.1850 0.0001448 ***
momento:fechaQuema      1    130  0.9143 0.3407472    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

Post-hoc

$`emmeans of momento`
 momento     emmean     SE  df asymp.LCL asymp.UCL
 0 preQuema   0.271 0.0190 Inf     0.233     0.308
 1 postQuema  0.265 0.0191 Inf     0.228     0.302

Results are averaged over the levels of: fechaQuema 
Results are given on the inverse (not the response) scale. 
Confidence level used: 0.95 

$`pairwise differences of momento`
 1                        estimate     SE  df z.ratio p.value
 0 preQuema - 1 postQuema  0.00557 0.0229 Inf 0.243   0.8082 

Results are averaged over the levels of: fechaQuema 
Note: contrasts are still on the inverse scale 
$`emmeans of fechaQuema`
 fechaQuema emmean     SE  df asymp.LCL asymp.UCL
 Ot          0.181 0.0143 Inf     0.153     0.209
 Pr          0.355 0.0265 Inf     0.303     0.407

Results are averaged over the levels of: momento 
Results are given on the inverse (not the response) scale. 
Confidence level used: 0.95 

$`pairwise differences of fechaQuema`
 1       estimate     SE  df z.ratio p.value
 Ot - Pr   -0.175 0.0298 Inf -5.859  <.0001 

Results are averaged over the levels of: momento 
Note: contrasts are still on the inverse scale 
$`emmeans of momento | fechaQuema`
fechaQuema = Ot:
 momento     emmean     SE  df asymp.LCL asymp.UCL
 0 preQuema   0.190 0.0166 Inf     0.158     0.223
 1 postQuema  0.171 0.0158 Inf     0.140     0.202

fechaQuema = Pr:
 momento     emmean     SE  df asymp.LCL asymp.UCL
 0 preQuema   0.351 0.0339 Inf     0.285     0.417
 1 postQuema  0.359 0.0345 Inf     0.292     0.427

Results are given on the inverse (not the response) scale. 
Confidence level used: 0.95 

$`pairwise differences of momento | fechaQuema`
fechaQuema = Ot:
 2                        estimate     SE  df z.ratio p.value
 0 preQuema - 1 postQuema  0.01929 0.0152 Inf  1.269  0.2044 

fechaQuema = Pr:
 2                        estimate     SE  df z.ratio p.value
 0 preQuema - 1 postQuema -0.00815 0.0433 Inf -0.188  0.8507 

Note: contrasts are still on the inverse scale 

K

Model

Fitting one lmer() model. [DONE]
Calculating p-values. [DONE]
Mixed Model Anova Table (Type 3 tests, KR-method)

Model: k_percent ~ momento * fechaQuema + (1 | fechaQuema:geo_parcela_nombre)
Data: df_model
              Effect     df      F p.value
1            momento 1, 130   1.92    .168
2         fechaQuema  1, 10 8.33 *    .016
3 momento:fechaQuema 1, 130   0.00    .976
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '+' 0.1 ' ' 1
Fitting one lmer() model. [DONE]
Calculating p-values. [DONE]
Mixed Model Anova Table (Type 3 tests, KR-method)

Model: k_percent ~ momento * fechaQuema + (1 | fechaQuema:geo_parcela_nombre)
Data: df_model
                   num Df den Df      F  Pr(>F)  
momento                 1    130 1.9189 0.16835  
fechaQuema              1     10 8.3254 0.01624 *
momento:fechaQuema      1    130 0.0009 0.97555  
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

Post-hoc

$`emmeans of momento`
 momento     emmean    SE  df asymp.LCL asymp.UCL
 0 preQuema    2.06 0.286 Inf      1.50      2.62
 1 postQuema   2.18 0.287 Inf      1.62      2.74

Results are averaged over the levels of: fechaQuema 
Results are given on the inverse (not the response) scale. 
Confidence level used: 0.95 

$`pairwise differences of momento`
 1                        estimate     SE  df z.ratio p.value
 0 preQuema - 1 postQuema   -0.119 0.0844 Inf -1.414  0.1574 

Results are averaged over the levels of: fechaQuema 
Note: contrasts are still on the inverse scale 
$`emmeans of fechaQuema`
 fechaQuema emmean    SE  df asymp.LCL asymp.UCL
 Ot           2.73 0.287 Inf     2.167      3.29
 Pr           1.51 0.487 Inf     0.554      2.46

Results are averaged over the levels of: momento 
Results are given on the inverse (not the response) scale. 
Confidence level used: 0.95 

$`pairwise differences of fechaQuema`
 1       estimate    SE  df z.ratio p.value
 Ot - Pr     1.22 0.565 Inf 2.161   0.0307 

Results are averaged over the levels of: momento 
Note: contrasts are still on the inverse scale 
$`emmeans of momento | fechaQuema`
fechaQuema = Ot:
 momento     emmean    SE  df asymp.LCL asymp.UCL
 0 preQuema    2.64 0.294 Inf     2.063      3.21
 1 postQuema   2.82 0.296 Inf     2.242      3.40

fechaQuema = Pr:
 momento     emmean    SE  df asymp.LCL asymp.UCL
 0 preQuema    1.48 0.490 Inf     0.522      2.44
 1 postQuema   1.54 0.490 Inf     0.576      2.50

Results are given on the inverse (not the response) scale. 
Confidence level used: 0.95 

$`pairwise differences of momento | fechaQuema`
fechaQuema = Ot:
 2                        estimate    SE  df z.ratio p.value
 0 preQuema - 1 postQuema  -0.1833 0.132 Inf -1.386  0.1657 

fechaQuema = Pr:
 2                        estimate    SE  df z.ratio p.value
 0 preQuema - 1 postQuema  -0.0554 0.105 Inf -0.528  0.5975 

Note: contrasts are still on the inverse scale 

Mg

Model

Fitting one lmer() model. [DONE]
Calculating p-values. [DONE]
Mixed Model Anova Table (Type 3 tests, KR-method)

Model: mg_percent ~ momento * fechaQuema + (1 | fechaQuema:geo_parcela_nombre)
Data: df_model
              Effect     df      F p.value
1            momento 1, 130   0.96    .329
2         fechaQuema  1, 10 4.01 +    .073
3 momento:fechaQuema 1, 130   0.13    .719
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '+' 0.1 ' ' 1
Fitting one lmer() model. [DONE]
Calculating p-values. [DONE]
Mixed Model Anova Table (Type 3 tests, KR-method)

Model: mg_percent ~ momento * fechaQuema + (1 | fechaQuema:geo_parcela_nombre)
Data: df_model
                   num Df den Df      F  Pr(>F)  
momento                 1    130 0.9587 0.32933  
fechaQuema              1     10 4.0114 0.07304 .
momento:fechaQuema      1    130 0.1300 0.71903  
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

Post-hoc

$`emmeans of momento`
 momento     emmean     SE  df asymp.LCL asymp.UCL
 0 preQuema   0.738 0.0953 Inf     0.551     0.925
 1 postQuema  0.699 0.0950 Inf     0.513     0.885

Results are averaged over the levels of: fechaQuema 
Results are given on the inverse (not the response) scale. 
Confidence level used: 0.95 

$`pairwise differences of momento`
 1                        estimate     SE  df z.ratio p.value
 0 preQuema - 1 postQuema   0.0394 0.0329 Inf 1.197   0.2313 

Results are averaged over the levels of: fechaQuema 
Note: contrasts are still on the inverse scale 
$`emmeans of fechaQuema`
 fechaQuema emmean    SE  df asymp.LCL asymp.UCL
 Ot          0.888 0.100 Inf     0.691     1.084
 Pr          0.549 0.158 Inf     0.240     0.858

Results are averaged over the levels of: momento 
Results are given on the inverse (not the response) scale. 
Confidence level used: 0.95 

$`pairwise differences of fechaQuema`
 1       estimate    SE  df z.ratio p.value
 Ot - Pr    0.338 0.186 Inf 1.816   0.0693 

Results are averaged over the levels of: momento 
Note: contrasts are still on the inverse scale 
$`emmeans of momento | fechaQuema`
fechaQuema = Ot:
 momento     emmean    SE  df asymp.LCL asymp.UCL
 0 preQuema   0.920 0.103 Inf     0.717     1.122
 1 postQuema  0.856 0.102 Inf     0.655     1.056

fechaQuema = Pr:
 momento     emmean    SE  df asymp.LCL asymp.UCL
 0 preQuema   0.557 0.159 Inf     0.244     0.869
 1 postQuema  0.542 0.159 Inf     0.230     0.854

Results are given on the inverse (not the response) scale. 
Confidence level used: 0.95 

$`pairwise differences of momento | fechaQuema`
fechaQuema = Ot:
 2                        estimate     SE  df z.ratio p.value
 0 preQuema - 1 postQuema   0.0643 0.0469 Inf 1.371   0.1702 

fechaQuema = Pr:
 2                        estimate     SE  df z.ratio p.value
 0 preQuema - 1 postQuema   0.0146 0.0463 Inf 0.315   0.7530 

Note: contrasts are still on the inverse scale 

C/N

Model

Fitting one lmer() model. [DONE]
Calculating p-values. [DONE]
Mixed Model Anova Table (Type 3 tests, KR-method)

Model: c_n ~ momento * fechaQuema + (1 | fechaQuema:geo_parcela_nombre)
Data: df_model
              Effect     df    F p.value
1            momento 1, 130 0.05    .815
2         fechaQuema  1, 10 0.56    .471
3 momento:fechaQuema 1, 130 0.80    .372
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '+' 0.1 ' ' 1
Fitting one lmer() model. [DONE]
Calculating p-values. [DONE]
Mixed Model Anova Table (Type 3 tests, KR-method)

Model: c_n ~ momento * fechaQuema + (1 | fechaQuema:geo_parcela_nombre)
Data: df_model
                   num Df den Df      F Pr(>F)
momento                 1    130 0.0550 0.8150
fechaQuema              1     10 0.5601 0.4715
momento:fechaQuema      1    130 0.8031 0.3718

Post-hoc

$`emmeans of momento`
 momento     emmean      SE  df asymp.LCL asymp.UCL
 0 preQuema  0.0266 0.00265 Inf    0.0214    0.0318
 1 postQuema 0.0272 0.00265 Inf    0.0220    0.0324

Results are averaged over the levels of: fechaQuema 
Results are given on the inverse (not the response) scale. 
Confidence level used: 0.95 

$`pairwise differences of momento`
 1                         estimate      SE  df z.ratio p.value
 0 preQuema - 1 postQuema -0.000626 0.00163 Inf -0.385  0.7000 

Results are averaged over the levels of: fechaQuema 
Note: contrasts are still on the inverse scale 
$`emmeans of fechaQuema`
 fechaQuema emmean      SE  df asymp.LCL asymp.UCL
 Ot         0.0288 0.00291 Inf    0.0231    0.0345
 Pr         0.0250 0.00408 Inf    0.0170    0.0330

Results are averaged over the levels of: momento 
Results are given on the inverse (not the response) scale. 
Confidence level used: 0.95 

$`pairwise differences of fechaQuema`
 1       estimate      SE  df z.ratio p.value
 Ot - Pr  0.00388 0.00496 Inf 0.781   0.4346 

Results are averaged over the levels of: momento 
Note: contrasts are still on the inverse scale 
$`emmeans of momento | fechaQuema`
fechaQuema = Ot:
 momento     emmean      SE  df asymp.LCL asymp.UCL
 0 preQuema  0.0277 0.00305 Inf    0.0217    0.0336
 1 postQuema 0.0300 0.00311 Inf    0.0239    0.0361

fechaQuema = Pr:
 momento     emmean      SE  df asymp.LCL asymp.UCL
 0 preQuema  0.0255 0.00429 Inf    0.0171    0.0339
 1 postQuema 0.0244 0.00425 Inf    0.0161    0.0327

Results are given on the inverse (not the response) scale. 
Confidence level used: 0.95 

$`pairwise differences of momento | fechaQuema`
fechaQuema = Ot:
 2                        estimate      SE  df z.ratio p.value
 0 preQuema - 1 postQuema -0.00236 0.00202 Inf -1.171  0.2415 

fechaQuema = Pr:
 2                        estimate      SE  df z.ratio p.value
 0 preQuema - 1 postQuema  0.00111 0.00255 Inf  0.435  0.6636 

Note: contrasts are still on the inverse scale 

P

Model

Fitting one lmer() model. [DONE]
Calculating p-values. [DONE]
Mixed Model Anova Table (Type 3 tests, KR-method)

Model: p ~ momento * fechaQuema + (1 | fechaQuema:geo_parcela_nombre)
Data: df_model
              Effect     df       F p.value
1            momento 1, 130    0.45    .502
2         fechaQuema  1, 10  8.17 *    .017
3 momento:fechaQuema 1, 130 9.31 **    .003
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '+' 0.1 ' ' 1
Fitting one lmer() model. [DONE]
Calculating p-values. [DONE]
Mixed Model Anova Table (Type 3 tests, KR-method)

Model: p ~ momento * fechaQuema + (1 | fechaQuema:geo_parcela_nombre)
Data: df_model
                   num Df den Df      F   Pr(>F)   
momento                 1    130 0.4536 0.501823   
fechaQuema              1     10 8.1689 0.017011 * 
momento:fechaQuema      1    130 9.3060 0.002769 **
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

Post-hoc

$`emmeans of momento`
 momento     emmean     SE  df asymp.LCL asymp.UCL
 0 preQuema    1.62 0.0628 Inf      1.50      1.74
 1 postQuema   1.70 0.0619 Inf      1.58      1.82

Results are averaged over the levels of: fechaQuema 
Results are given on the log (not the response) scale. 
Confidence level used: 0.95 

$`pairwise differences of momento`
 1                        estimate     SE  df z.ratio p.value
 0 preQuema - 1 postQuema  -0.0834 0.0746 Inf -1.118  0.2635 

Results are averaged over the levels of: fechaQuema 
Results are given on the log (not the response) scale. 
$`emmeans of fechaQuema`
 fechaQuema emmean     SE  df asymp.LCL asymp.UCL
 Ot           1.49 0.0614 Inf      1.37      1.61
 Pr           1.83 0.0788 Inf      1.68      1.99

Results are averaged over the levels of: momento 
Results are given on the log (not the response) scale. 
Confidence level used: 0.95 

$`pairwise differences of fechaQuema`
 1       estimate  SE  df z.ratio p.value
 Ot - Pr   -0.338 0.1 Inf -3.379  0.0007 

Results are averaged over the levels of: momento 
Results are given on the log (not the response) scale. 
$`emmeans of momento | fechaQuema`
fechaQuema = Ot:
 momento     emmean     SE  df asymp.LCL asymp.UCL
 0 preQuema    1.34 0.0819 Inf      1.18      1.50
 1 postQuema   1.65 0.0730 Inf      1.50      1.79

fechaQuema = Pr:
 momento     emmean     SE  df asymp.LCL asymp.UCL
 0 preQuema    1.90 0.0951 Inf      1.71      2.09
 1 postQuema   1.76 0.0994 Inf      1.57      1.96

Results are given on the log (not the response) scale. 
Confidence level used: 0.95 

$`pairwise differences of momento | fechaQuema`
fechaQuema = Ot:
 2                        estimate     SE  df z.ratio p.value
 0 preQuema - 1 postQuema   -0.306 0.0947 Inf -3.227  0.0012 

fechaQuema = Pr:
 2                        estimate     SE  df z.ratio p.value
 0 preQuema - 1 postQuema    0.139 0.1140 Inf  1.217  0.2235 

Results are given on the log (not the response) scale. 

N

Model

Post-hoc

$`emmeans of momento`
 momento     emmean     SE  df lower.CL upper.CL
 0 preQuema   -1.33 0.0758 138    -1.48    -1.18
 1 postQuema  -1.18 0.0742 138    -1.32    -1.03

Results are averaged over the levels of: fechaQuema 
Results are given on the logit (not the response) scale. 
Confidence level used: 0.95 

$`pairwise differences of momento`
 1                        estimate    SE  df t.ratio p.value
 0 preQuema - 1 postQuema   -0.153 0.105 138 -1.461  0.1463 

Results are averaged over the levels of: fechaQuema 
Results are given on the log odds ratio (not the response) scale. 
$`emmeans of fechaQuema`
 fechaQuema emmean     SE  df lower.CL upper.CL
 Ot          -1.11 0.0590 138    -1.23   -0.997
 Pr          -1.39 0.0883 138    -1.57   -1.219

Results are averaged over the levels of: momento 
Results are given on the logit (not the response) scale. 
Confidence level used: 0.95 

$`pairwise differences of fechaQuema`
 1       estimate    SE  df t.ratio p.value
 Ot - Pr     0.28 0.105 138 2.673   0.0084 

Results are averaged over the levels of: momento 
Results are given on the log odds ratio (not the response) scale. 
$`emmeans of momento | fechaQuema`
fechaQuema = Ot:
 momento     emmean     SE  df lower.CL upper.CL
 0 preQuema  -1.276 0.0857 138    -1.45   -1.106
 1 postQuema -0.952 0.0798 138    -1.11   -0.794

fechaQuema = Pr:
 momento     emmean     SE  df lower.CL upper.CL
 0 preQuema  -1.384 0.1237 138    -1.63   -1.140
 1 postQuema -1.403 0.1243 138    -1.65   -1.157

Results are given on the logit (not the response) scale. 
Confidence level used: 0.95 

$`pairwise differences of momento | fechaQuema`
fechaQuema = Ot:
 2                        estimate    SE  df t.ratio p.value
 0 preQuema - 1 postQuema  -0.3240 0.116 138 -2.789  0.0060 

fechaQuema = Pr:
 2                        estimate    SE  df t.ratio p.value
 0 preQuema - 1 postQuema   0.0182 0.174 138  0.104  0.9171 

Results are given on the log odds ratio (not the response) scale. 

Na

Model

Post-hoc

$`emmeans of momento`
 momento     emmean    SE  df lower.CL upper.CL
 0 preQuema   -2.95 0.116 138    -3.18    -2.72
 1 postQuema  -3.02 0.117 138    -3.25    -2.78

Results are averaged over the levels of: fechaQuema 
Results are given on the logit (not the response) scale. 
Confidence level used: 0.95 

$`pairwise differences of momento`
 1                        estimate     SE  df t.ratio p.value
 0 preQuema - 1 postQuema   0.0699 0.0893 138 0.784   0.4346 

Results are averaged over the levels of: fechaQuema 
Results are given on the log odds ratio (not the response) scale. 
$`emmeans of fechaQuema`
 fechaQuema emmean    SE  df lower.CL upper.CL
 Ot          -3.15 0.126 138    -3.40    -2.90
 Pr          -2.81 0.172 138    -3.15    -2.47

Results are averaged over the levels of: momento 
Results are given on the logit (not the response) scale. 
Confidence level used: 0.95 

$`pairwise differences of fechaQuema`
 1       estimate    SE  df t.ratio p.value
 Ot - Pr   -0.341 0.212 138 -1.606  0.1106 

Results are averaged over the levels of: momento 
Results are given on the log odds ratio (not the response) scale. 
$`emmeans of momento | fechaQuema`
fechaQuema = Ot:
 momento     emmean    SE  df lower.CL upper.CL
 0 preQuema   -3.10 0.137 138    -3.38    -2.83
 1 postQuema  -3.20 0.139 138    -3.47    -2.92

fechaQuema = Pr:
 momento     emmean    SE  df lower.CL upper.CL
 0 preQuema   -2.79 0.186 138    -3.15    -2.42
 1 postQuema  -2.83 0.186 138    -3.20    -2.47

Results are given on the logit (not the response) scale. 
Confidence level used: 0.95 

$`pairwise differences of momento | fechaQuema`
fechaQuema = Ot:
 2                        estimate    SE  df t.ratio p.value
 0 preQuema - 1 postQuema   0.0936 0.112 138 0.833   0.4065 

fechaQuema = Pr:
 2                        estimate    SE  df t.ratio p.value
 0 preQuema - 1 postQuema   0.0463 0.139 138 0.334   0.7389 

Results are given on the log odds ratio (not the response) scale. 

pH agua

Model

Fitting one lmer() model. [DONE]
Calculating p-values. [DONE]
Mixed Model Anova Table (Type 3 tests, KR-method)

Model: p_h_agua_eez ~ momento * fechaQuema + (1 | fechaQuema:geo_parcela_nombre)
Data: df_model
              Effect     df        F p.value
1            momento 1, 130     0.99    .322
2         fechaQuema  1, 10   9.29 *    .012
3 momento:fechaQuema 1, 130 10.51 **    .002
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '+' 0.1 ' ' 1
Fitting one lmer() model. [DONE]
Calculating p-values. [DONE]
Mixed Model Anova Table (Type 3 tests, KR-method)

Model: p_h_agua_eez ~ momento * fechaQuema + (1 | fechaQuema:geo_parcela_nombre)
Data: df_model
                   num Df den Df       F   Pr(>F)   
momento                 1    130  0.9889 0.321856   
fechaQuema              1     10  9.2903 0.012294 * 
momento:fechaQuema      1    130 10.5108 0.001508 **
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

Post-hoc

$`emmeans of momento`
 momento     emmean        SE  df asymp.LCL asymp.UCL
 0 preQuema  0.1255 0.0003116 Inf    0.1249    0.1261
 1 postQuema 0.1251 0.0003101 Inf    0.1245    0.1257

Results are averaged over the levels of: fechaQuema 
Results are given on the inverse (not the response) scale. 
Confidence level used: 0.95 

$`pairwise differences of momento`
 1                        estimate       SE  df z.ratio p.value
 0 preQuema - 1 postQuema  0.00039 0.000397 Inf 0.982   0.3261 

Results are averaged over the levels of: fechaQuema 
Note: contrasts are still on the inverse scale 
$`emmeans of fechaQuema`
 fechaQuema emmean        SE  df asymp.LCL asymp.UCL
 Ot         0.1259 0.0002773 Inf    0.1254    0.1265
 Pr         0.1247 0.0003898 Inf    0.1239    0.1255

Results are averaged over the levels of: momento 
Results are given on the inverse (not the response) scale. 
Confidence level used: 0.95 

$`pairwise differences of fechaQuema`
 1       estimate       SE  df z.ratio p.value
 Ot - Pr  0.00123 0.000478 Inf 2.570   0.0102 

Results are averaged over the levels of: momento 
Note: contrasts are still on the inverse scale 
$`emmeans of momento | fechaQuema`
fechaQuema = Ot:
 momento     emmean       SE  df asymp.LCL asymp.UCL
 0 preQuema   0.125 0.000359 Inf     0.125     0.126
 1 postQuema  0.126 0.000362 Inf     0.126     0.127

fechaQuema = Pr:
 momento     emmean       SE  df asymp.LCL asymp.UCL
 0 preQuema   0.126 0.000509 Inf     0.125     0.127
 1 postQuema  0.124 0.000503 Inf     0.123     0.125

Results are given on the inverse (not the response) scale. 
Confidence level used: 0.95 

$`pairwise differences of momento | fechaQuema`
fechaQuema = Ot:
 2                         estimate       SE  df z.ratio p.value
 0 preQuema - 1 postQuema -0.000918 0.000460 Inf -1.994  0.0461 

fechaQuema = Pr:
 2                         estimate       SE  df z.ratio p.value
 0 preQuema - 1 postQuema  0.001697 0.000646 Inf  2.628  0.0086 

Note: contrasts are still on the inverse scale 

pH KCl

Model

Fitting one lmer() model. [DONE]
Calculating p-values. [DONE]
Mixed Model Anova Table (Type 3 tests, KR-method)

Model: p_h_k_cl ~ momento * fechaQuema + (1 | fechaQuema:geo_parcela_nombre)
Data: df_model
              Effect     df         F p.value
1            momento 1, 130 45.36 ***   <.001
2         fechaQuema  1, 10    5.70 *    .038
3 momento:fechaQuema 1, 130   9.39 **    .003
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '+' 0.1 ' ' 1
Fitting one lmer() model. [DONE]
Calculating p-values. [DONE]
Mixed Model Anova Table (Type 3 tests, KR-method)

Model: p_h_k_cl ~ momento * fechaQuema + (1 | fechaQuema:geo_parcela_nombre)
Data: df_model
                   num Df den Df       F    Pr(>F)    
momento                 1    130 45.3634 4.776e-10 ***
fechaQuema              1     10  5.7006  0.038115 *  
momento:fechaQuema      1    130  9.3932  0.002649 ** 
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

Post-hoc

$`emmeans of momento`
 momento     emmean       SE  df asymp.LCL asymp.UCL
 0 preQuema   0.134 0.000631 Inf     0.132     0.135
 1 postQuema  0.131 0.000628 Inf     0.130     0.132

Results are averaged over the levels of: fechaQuema 
Results are given on the inverse (not the response) scale. 
Confidence level used: 0.95 

$`pairwise differences of momento`
 1                        estimate       SE  df z.ratio p.value
 0 preQuema - 1 postQuema  0.00263 0.000383 Inf 6.876   <.0001 

Results are averaged over the levels of: fechaQuema 
Note: contrasts are still on the inverse scale 
$`emmeans of fechaQuema`
 fechaQuema emmean       SE  df asymp.LCL asymp.UCL
 Ot          0.133 0.000689 Inf     0.132     0.135
 Pr          0.131 0.000981 Inf     0.129     0.133

Results are averaged over the levels of: momento 
Results are given on the inverse (not the response) scale. 
Confidence level used: 0.95 

$`pairwise differences of fechaQuema`
 1       estimate     SE  df z.ratio p.value
 Ot - Pr  0.00216 0.0012 Inf 1.806   0.0710 

Results are averaged over the levels of: momento 
Note: contrasts are still on the inverse scale 
$`emmeans of momento | fechaQuema`
fechaQuema = Ot:
 momento     emmean       SE  df asymp.LCL asymp.UCL
 0 preQuema   0.134 0.000725 Inf     0.133     0.135
 1 postQuema  0.133 0.000724 Inf     0.131     0.134

fechaQuema = Pr:
 momento     emmean       SE  df asymp.LCL asymp.UCL
 0 preQuema   0.133 0.001032 Inf     0.131     0.135
 1 postQuema  0.129 0.001026 Inf     0.127     0.131

Results are given on the inverse (not the response) scale. 
Confidence level used: 0.95 

$`pairwise differences of momento | fechaQuema`
fechaQuema = Ot:
 2                        estimate       SE  df z.ratio p.value
 0 preQuema - 1 postQuema  0.00147 0.000446 Inf 3.291   0.0010 

fechaQuema = Pr:
 2                        estimate       SE  df z.ratio p.value
 0 preQuema - 1 postQuema  0.00379 0.000621 Inf 6.105   <.0001 

Note: contrasts are still on the inverse scale 

NH4

  • Prepare data
  • We have only data for Autumn fire
  • The approach will be the following: Apply non-parametric Wilcoxon test to compare pre and postFire
          momento
fechaQuema 0 preQuema 1 postQuema
        Ot         48          43

Model

NO3

Model

General Overview

Mean + SE table

Characteristic 0 preQuema 1 postQuema
Ot, N = 481 Pr, N = 241 Ot, N = 481 Pr, N = 241
humedad 12.22 (0.50) 15.62 (0.63) 12.13 (0.59) 8.11 (0.53)
n_nh4 0.62 (0.03) NA (NA) 2.91 (0.36) NA (NA)
n_no3 0.92 (0.07) NA (NA) 0.81 (0.07) NA (NA)
fe_percent 1.86 (0.07) 1.95 (0.08) 1.80 (0.04) 1.95 (0.09)
k_percent 0.45 (0.03) 0.79 (0.06) 0.41 (0.03) 0.75 (0.06)
mg_percent 1.29 (0.09) 2.00 (0.14) 1.42 (0.12) 2.06 (0.18)
na_percent 0.04 (0.00) 0.06 (0.01) 0.04 (0.00) 0.06 (0.01)
n_percent 0.22 (0.01) 0.19 (0.02) 0.29 (0.02) 0.18 (0.01)
c_percent 7.22 (0.30) 7.05 (0.31) 8.00 (0.29) 7.57 (0.38)
c_n 39.72 (2.77) 41.62 (3.62) 36.14 (3.32) 43.72 (3.06)
cic 16.60 (0.34) 13.17 (0.49) 15.33 (0.29) 12.92 (0.55)
p 3.83 (0.17) 6.75 (0.92) 5.20 (0.24) 5.88 (0.25)
mo 5.37 (0.30) 2.87 (0.32) 6.00 (0.39) 2.80 (0.16)
p_h_k_cl 7.46 (0.02) 7.52 (0.04) 7.54 (0.02) 7.74 (0.03)
p_h_agua_eez 7.97 (0.02) 7.97 (0.04) 7.91 (0.02) 8.07 (0.02)

1 Mean (std.error)

Characteristic Ot Pr
0 preQuema, N = 481 1 postQuema, N = 481 0 preQuema, N = 241 1 postQuema, N = 241
humedad 12.22 (0.50) 12.13 (0.59) 15.62 (0.63) 8.11 (0.53)
n_nh4 0.62 (0.03) 2.91 (0.36) NA (NA) NA (NA)
n_no3 0.92 (0.07) 0.81 (0.07) NA (NA) NA (NA)
fe_percent 1.86 (0.07) 1.80 (0.04) 1.95 (0.08) 1.95 (0.09)
k_percent 0.45 (0.03) 0.41 (0.03) 0.79 (0.06) 0.75 (0.06)
mg_percent 1.29 (0.09) 1.42 (0.12) 2.00 (0.14) 2.06 (0.18)
na_percent 0.04 (0.00) 0.04 (0.00) 0.06 (0.01) 0.06 (0.01)
n_percent 0.22 (0.01) 0.29 (0.02) 0.19 (0.02) 0.18 (0.01)
c_percent 7.22 (0.30) 8.00 (0.29) 7.05 (0.31) 7.57 (0.38)
c_n 39.72 (2.77) 36.14 (3.32) 41.62 (3.62) 43.72 (3.06)
cic 16.60 (0.34) 15.33 (0.29) 13.17 (0.49) 12.92 (0.55)
p 3.83 (0.17) 5.20 (0.24) 6.75 (0.92) 5.88 (0.25)
mo 5.37 (0.30) 6.00 (0.39) 2.87 (0.32) 2.80 (0.16)
p_h_k_cl 7.46 (0.02) 7.54 (0.02) 7.52 (0.04) 7.74 (0.03)
p_h_agua_eez 7.97 (0.02) 7.91 (0.02) 7.97 (0.04) 8.07 (0.02)

1 Mean (std.error)

Figures

Anovas table

fechaQuema
momento
fechaQuema x momento
Variables F p F p F p
c_n 0.560 0.471 0.055 0.815 0.803 0.372
cic 9.836 0.011 5.112 0.025 2.303 0.132
k_percent 8.325 0.016 1.919 0.168 0.001 0.976
mg_percent 4.011 0.073 0.959 0.329 0.130 0.719
mo 35.185 0.000 0.602 0.439 0.914 0.341
n_nh4 NA NA 403.000 0.000 NA NA
n_no3 NA NA 1198.500 0.187 NA NA
p 8.169 0.017 0.454 0.502 9.306 0.003
p_h_agua_eez 9.290 0.012 0.989 0.322 10.511 0.002
p_h_k_cl 5.701 0.038 45.363 0.000 9.393 0.003
humedad 0.058 0.815 50.420 0.000 48.041 0.000
n_percent 7.294 0.007 5.121 0.024 2.671 0.102
c_percent 0.118 0.738 6.180 0.014 0.261 0.610
na_percent 2.571 0.109 0.735 0.391 0.070 0.791

Gráficos feos feísimos


R version 4.0.2 (2020-06-22)
Platform: x86_64-apple-darwin17.0 (64-bit)
Running under: macOS Catalina 10.15.3

Matrix products: default
BLAS:   /Library/Frameworks/R.framework/Versions/4.0/Resources/lib/libRblas.dylib
LAPACK: /Library/Frameworks/R.framework/Versions/4.0/Resources/lib/libRlapack.dylib

locale:
[1] en_US.UTF-8/en_US.UTF-8/en_US.UTF-8/C/en_US.UTF-8/en_US.UTF-8

attached base packages:
[1] stats     graphics  grDevices utils     datasets  methods   base     

other attached packages:
 [1] kableExtra_1.3.1   gtsummary_1.4.2    plotrix_3.8-1      glmmTMB_1.0.2.1   
 [5] afex_0.28-1        performance_0.7.2  multcomp_1.4-16    TH.data_1.0-10    
 [9] mvtnorm_1.1-1      emmeans_1.5.4      lmerTest_3.1-3     lme4_1.1-27.1     
[13] Matrix_1.3-2       fitdistrplus_1.1-3 survival_3.2-7     MASS_7.3-53       
[17] ggpubr_0.4.0       janitor_2.1.0      here_1.0.1         forcats_0.5.1     
[21] stringr_1.4.0      dplyr_1.0.6        purrr_0.3.4        readr_1.4.0       
[25] tidyr_1.1.3        tibble_3.1.2       ggplot2_3.3.5      tidyverse_1.3.1   
[29] rmdformats_1.0.1   knitr_1.31         workflowr_1.6.2   

loaded via a namespace (and not attached):
  [1] minqa_1.2.4         colorspace_2.0-0    ggsignif_0.6.0     
  [4] ellipsis_0.3.2      rio_0.5.16          rprojroot_2.0.2    
  [7] estimability_1.3    snakecase_0.11.0    fs_1.5.0           
 [10] rstudioapi_0.13     farver_2.0.3        fansi_0.4.2        
 [13] lubridate_1.7.10    xml2_1.3.2          codetools_0.2-18   
 [16] splines_4.0.2       jsonlite_1.7.2      nloptr_1.2.2.2     
 [19] gt_0.3.0            pbkrtest_0.5-0.1    broom_0.7.9        
 [22] dbplyr_2.1.1        compiler_4.0.2      httr_1.4.2         
 [25] backports_1.2.1     assertthat_0.2.1    fastmap_1.1.0      
 [28] cli_2.5.0           formatR_1.8         later_1.1.0.1      
 [31] htmltools_0.5.2     tools_4.0.2         coda_0.19-4        
 [34] gtable_0.3.0        glue_1.4.2          reshape2_1.4.4     
 [37] Rcpp_1.0.7          carData_3.0-4       cellranger_1.1.0   
 [40] jquerylib_0.1.3     vctrs_0.3.8         nlme_3.1-152       
 [43] broom.helpers_1.3.0 insight_0.14.4      xfun_0.23          
 [46] openxlsx_4.2.3      rvest_1.0.0         lifecycle_1.0.0    
 [49] rstatix_0.6.0       zoo_1.8-8           scales_1.1.1       
 [52] hms_1.0.0           promises_1.2.0.1    parallel_4.0.2     
 [55] sandwich_3.0-0      TMB_1.7.19          yaml_2.2.1         
 [58] curl_4.3            sass_0.3.1          stringi_1.7.4      
 [61] highr_0.8           checkmate_2.0.0     boot_1.3-26        
 [64] zip_2.1.1           commonmark_1.7      rlang_0.4.10       
 [67] pkgconfig_2.0.3     evaluate_0.14       lattice_0.20-41    
 [70] labeling_0.4.2      tidyselect_1.1.1    plyr_1.8.6         
 [73] magrittr_2.0.1      bookdown_0.21.6     R6_2.5.0           
 [76] generics_0.1.0      DBI_1.1.1           pillar_1.6.1       
 [79] haven_2.3.1         whisker_0.4         foreign_0.8-81     
 [82] withr_2.4.1         abind_1.4-5         modelr_0.1.8       
 [85] crayon_1.4.1        car_3.0-10          utf8_1.1.4         
 [88] rmarkdown_2.8       grid_4.0.2          readxl_1.3.1       
 [91] data.table_1.14.0   git2r_0.28.0        webshot_0.5.2      
 [94] reprex_2.0.0        digest_0.6.27       xtable_1.8-4       
 [97] httpuv_1.5.5        numDeriv_2016.8-1.1 munsell_0.5.0      
[100] viridisLite_0.3.0   bslib_0.2.4