library(psych)
library(readxl)
library(ggplot2)
## 
## Attaching package: 'ggplot2'
## The following objects are masked from 'package:psych':
## 
##     %+%, alpha
library(lattice)
library(tidyverse)
## -- Attaching packages --------------------------------------- tidyverse 1.3.1 --
## v tibble  3.1.6     v dplyr   1.0.8
## v tidyr   1.2.0     v stringr 1.4.0
## v readr   2.1.2     v forcats 0.5.1
## v purrr   0.3.4
## -- Conflicts ------------------------------------------ tidyverse_conflicts() --
## x ggplot2::%+%()   masks psych::%+%()
## x ggplot2::alpha() masks psych::alpha()
## x dplyr::filter()  masks stats::filter()
## x dplyr::lag()     masks stats::lag()
library(dplyr)

######  Análisis descriptivo numérico  ####

######## GRUPO 6 ######## 

MALEZASDENSI <- read_xlsx("C:\\Users\\andre\\OneDrive\\Escritorio\\MALEZAS PROMG6.xlsx",col_types = c("numeric", "text", "numeric", 
        "numeric", "numeric"))
attach(MALEZASDENSI)

psych::describe(DENSIDADSUM)
##    vars  n  mean    sd median trimmed  mad min max range skew kurtosis   se
## X1    1 11 15.91 22.43      1   12.78 1.48   0  60    60 0.86    -1.06 6.76
describe.by(DENSIDADSUM, group = ESPECIES)
## Warning: describe.by is deprecated. Please use the describeBy function
## 
##  Descriptive statistics by group 
## group: Amaranthaceae
##    vars n mean sd median trimmed mad min max range skew kurtosis se
## X1    1 1    0 NA      0       0   0   0   0     0   NA       NA NA
## ------------------------------------------------------------ 
## group: Cotula australis
##    vars n mean sd median trimmed mad min max range skew kurtosis se
## X1    1 1    0 NA      0       0   0   0   0     0   NA       NA NA
## ------------------------------------------------------------ 
## group: fumaria capreolata
##    vars n mean sd median trimmed mad min max range skew kurtosis se
## X1    1 1   12 NA     12      12   0  12  12     0   NA       NA NA
## ------------------------------------------------------------ 
## group: Lepidium
##    vars n mean sd median trimmed mad min max range skew kurtosis se
## X1    1 1    0 NA      0       0   0   0   0     0   NA       NA NA
## ------------------------------------------------------------ 
## group: Lolium multiflorum
##    vars n mean sd median trimmed mad min max range skew kurtosis se
## X1    1 1    0 NA      0       0   0   0   0     0   NA       NA NA
## ------------------------------------------------------------ 
## group: Oxalis
##    vars n mean sd median trimmed mad min max range skew kurtosis se
## X1    1 1    0 NA      0       0   0   0   0     0   NA       NA NA
## ------------------------------------------------------------ 
## group: Poace sp
##    vars n mean sd median trimmed mad min max range skew kurtosis se
## X1    1 1   14 NA     14      14   0  14  14     0   NA       NA NA
## ------------------------------------------------------------ 
## group: Polygonum segetum
##    vars n mean sd median trimmed mad min max range skew kurtosis se
## X1    1 1   44 NA     44      44   0  44  44     0   NA       NA NA
## ------------------------------------------------------------ 
## group: Raphanus
##    vars n mean sd median trimmed mad min max range skew kurtosis se
## X1    1 1   60 NA     60      60   0  60  60     0   NA       NA NA
## ------------------------------------------------------------ 
## group: Rumex
##    vars n mean sd median trimmed mad min max range skew kurtosis se
## X1    1 1    1 NA      1       1   0   1   1     0   NA       NA NA
## ------------------------------------------------------------ 
## group: Veronica
##    vars n mean sd median trimmed mad min max range skew kurtosis se
## X1    1 1   44 NA     44      44   0  44  44     0   NA       NA NA
(sd22 <- sd(DENSIDADSUM))
## [1] 22.42523
(mean22 <- mean(DENSIDADSUM))
## [1] 15.90909
(Coeficientevar <- sd22/mean22)
## [1] 1.409586
#################
##### MODA #####

library(modeest)
## Registered S3 methods overwritten by 'rmutil':
##   method         from 
##   plot.residuals psych
##   print.response httr
mlv(DENSIDADSUM, method = "meanshift") 
## [1] 2.62856
## attr(,"iterations")
## [1] 12
##### Gráficas de análisis descriptivo densidad ####

ggplot(MALEZASDENSI, aes(x = ESPECIES, y = DENSIDADSUM, fill = ESPECIES)) + 
  geom_bar(stat = "identity") +
   guides(fill = guide_legend(title = "ESPECIES")) + 
    ggtitle("Densidad de especies grupo 6") + 
     theme(panel.border = element_rect(fill = "transparent", color = 4,size = 2))  + 
       theme(plot.background = element_rect(fill = "gray86")) +
     theme(plot.background = element_rect(color = "black", size = 2)) +
  xlab("Especies") + ylab("Número de individuos") + 
  theme(axis.title.x = element_text(size = 13, color = "black")) + theme(axis.title.y = element_text(size = 13, color = "black")) + theme(axis.text.x = element_text(angle = 45, vjust = 1, hjust = 1))

ggplot(MALEZASDENSI, aes(x = ESPECIES, y = COBERTURAS, fill = ESPECIES)) + 
  geom_bar(stat = "identity") +
   guides(fill = guide_legend(title = "ESPECIES")) + 
    ggtitle("Cobertura total por especies grupo 6") + 
     theme(panel.border = element_rect(fill = "transparent", color = 4,size = 2))  + 
       theme(plot.background = element_rect(fill = "gray86")) +
     theme(plot.background = element_rect(color = "black", size = 2)) +
  xlab("Especies") + ylab("cobertura en 1 m^2") + 
  theme(axis.title.x = element_text(size = 13, color = "black")) + theme(axis.title.y = element_text(size = 13, color = "black")) + theme(axis.text.x = element_text(angle = 45, vjust = 1, hjust = 1))

DENSIDAD, DOMINANCIA Y FRECUENCIA TOTAL Y POR METRO CUADRADO

DMTOTAL <- read_excel("C:\\Users\\andre\\OneDrive\\Escritorio\\MALEZASGRUPALES.xlsx", 
    col_types = c("numeric", "text", "numeric", 
        "numeric", "numeric", "numeric", 
        "numeric", "numeric", "numeric", 
        "numeric", "numeric", "numeric"))
attach(DMTOTAL)
## The following object is masked from MALEZASDENSI:
## 
##     MUESTREO
# Densidades:

psych::describe(DENSIDADMT)
##    vars  n   mean     sd median trimmed   mad min max range skew kurtosis    se
## X1    1 11 151.91 276.71     12     104 14.83   1 734   733 1.29    -0.18 83.43
describe.by(DENSIDADMT, group = ESPECIESGL)
## Warning: describe.by is deprecated. Please use the describeBy function
## 
##  Descriptive statistics by group 
## group: Amaranthaceae
##    vars n mean sd median trimmed mad min max range skew kurtosis se
## X1    1 1    1 NA      1       1   0   1   1     0   NA       NA NA
## ------------------------------------------------------------ 
## group: Cotula australis
##    vars n mean sd median trimmed mad min max range skew kurtosis se
## X1    1 1    2 NA      2       2   0   2   2     0   NA       NA NA
## ------------------------------------------------------------ 
## group: fumaria capreolata
##    vars n mean sd median trimmed mad min max range skew kurtosis se
## X1    1 1   12 NA     12      12   0  12  12     0   NA       NA NA
## ------------------------------------------------------------ 
## group: Lepidium
##    vars n mean sd median trimmed mad min max range skew kurtosis se
## X1    1 1    5 NA      5       5   0   5   5     0   NA       NA NA
## ------------------------------------------------------------ 
## group: Lolium multiflorum
##    vars n mean sd median trimmed mad min max range skew kurtosis se
## X1    1 1   15 NA     15      15   0  15  15     0   NA       NA NA
## ------------------------------------------------------------ 
## group: Oxalis
##    vars n mean sd median trimmed mad min max range skew kurtosis se
## X1    1 1    4 NA      4       4   0   4   4     0   NA       NA NA
## ------------------------------------------------------------ 
## group: Poace sp
##    vars n mean sd median trimmed mad min max range skew kurtosis se
## X1    1 1   14 NA     14      14   0  14  14     0   NA       NA NA
## ------------------------------------------------------------ 
## group: Polygonum segetum
##    vars n mean sd median trimmed mad min max range skew kurtosis se
## X1    1 1  654 NA    654     654   0 654 654     0   NA       NA NA
## ------------------------------------------------------------ 
## group: Raphanus
##    vars n mean sd median trimmed mad min max range skew kurtosis se
## X1    1 1  734 NA    734     734   0 734 734     0   NA       NA NA
## ------------------------------------------------------------ 
## group: Rumex
##    vars n mean sd median trimmed mad min max range skew kurtosis se
## X1    1 1    1 NA      1       1   0   1   1     0   NA       NA NA
## ------------------------------------------------------------ 
## group: Veronica
##    vars n mean sd median trimmed mad min max range skew kurtosis se
## X1    1 1  229 NA    229     229   0 229 229     0   NA       NA NA
# densidad relativa: 
psych::describe(DENSIDADRELATIVA)
##    vars  n mean    sd median trimmed  mad  min   max range skew kurtosis   se
## X1    1 11 9.08 16.56   0.71    6.22 0.89 0.05 43.92 43.87 1.29    -0.18 4.99
describe.by(DENSIDADRELATIVA, group = ESPECIESGL)
## Warning: describe.by is deprecated. Please use the describeBy function
## 
##  Descriptive statistics by group 
## group: Amaranthaceae
##    vars n mean sd median trimmed mad  min  max range skew kurtosis se
## X1    1 1 0.05 NA   0.05    0.05   0 0.05 0.05     0   NA       NA NA
## ------------------------------------------------------------ 
## group: Cotula australis
##    vars n mean sd median trimmed mad  min  max range skew kurtosis se
## X1    1 1 0.11 NA   0.11    0.11   0 0.11 0.11     0   NA       NA NA
## ------------------------------------------------------------ 
## group: fumaria capreolata
##    vars n mean sd median trimmed mad  min  max range skew kurtosis se
## X1    1 1 0.71 NA   0.71    0.71   0 0.71 0.71     0   NA       NA NA
## ------------------------------------------------------------ 
## group: Lepidium
##    vars n mean sd median trimmed mad  min  max range skew kurtosis se
## X1    1 1 0.29 NA   0.29    0.29   0 0.29 0.29     0   NA       NA NA
## ------------------------------------------------------------ 
## group: Lolium multiflorum
##    vars n mean sd median trimmed mad  min  max range skew kurtosis se
## X1    1 1 0.89 NA   0.89    0.89   0 0.89 0.89     0   NA       NA NA
## ------------------------------------------------------------ 
## group: Oxalis
##    vars n mean sd median trimmed mad  min  max range skew kurtosis se
## X1    1 1 0.23 NA   0.23    0.23   0 0.23 0.23     0   NA       NA NA
## ------------------------------------------------------------ 
## group: Poace sp
##    vars n mean sd median trimmed mad  min  max range skew kurtosis se
## X1    1 1 0.83 NA   0.83    0.83   0 0.83 0.83     0   NA       NA NA
## ------------------------------------------------------------ 
## group: Polygonum segetum
##    vars n  mean sd median trimmed mad   min   max range skew kurtosis se
## X1    1 1 39.13 NA  39.13   39.13   0 39.13 39.13     0   NA       NA NA
## ------------------------------------------------------------ 
## group: Raphanus
##    vars n  mean sd median trimmed mad   min   max range skew kurtosis se
## X1    1 1 43.92 NA  43.92   43.92   0 43.92 43.92     0   NA       NA NA
## ------------------------------------------------------------ 
## group: Rumex
##    vars n mean sd median trimmed mad  min  max range skew kurtosis se
## X1    1 1 0.05 NA   0.05    0.05   0 0.05 0.05     0   NA       NA NA
## ------------------------------------------------------------ 
## group: Veronica
##    vars n mean sd median trimmed mad  min  max range skew kurtosis se
## X1    1 1 13.7 NA   13.7    13.7   0 13.7 13.7     0   NA       NA NA
# frecuencia: 
psych::describe(FRECUENCIATOTAL)
##    vars  n mean   sd median trimmed mad  min  max range skew kurtosis  se
## X1    1 11 0.22 0.33   0.03    0.15   0 0.03 0.97  0.94 1.29    -0.01 0.1
describe.by(FRECUENCIATOTAL, group = ESPECIESGL)
## Warning: describe.by is deprecated. Please use the describeBy function
## 
##  Descriptive statistics by group 
## group: Amaranthaceae
##    vars n mean sd median trimmed mad  min  max range skew kurtosis se
## X1    1 1 0.03 NA   0.03    0.03   0 0.03 0.03     0   NA       NA NA
## ------------------------------------------------------------ 
## group: Cotula australis
##    vars n mean sd median trimmed mad  min  max range skew kurtosis se
## X1    1 1 0.06 NA   0.06    0.06   0 0.06 0.06     0   NA       NA NA
## ------------------------------------------------------------ 
## group: fumaria capreolata
##    vars n mean sd median trimmed mad  min  max range skew kurtosis se
## X1    1 1 0.09 NA   0.09    0.09   0 0.09 0.09     0   NA       NA NA
## ------------------------------------------------------------ 
## group: Lepidium
##    vars n mean sd median trimmed mad  min  max range skew kurtosis se
## X1    1 1 0.03 NA   0.03    0.03   0 0.03 0.03     0   NA       NA NA
## ------------------------------------------------------------ 
## group: Lolium multiflorum
##    vars n mean sd median trimmed mad  min  max range skew kurtosis se
## X1    1 1 0.03 NA   0.03    0.03   0 0.03 0.03     0   NA       NA NA
## ------------------------------------------------------------ 
## group: Oxalis
##    vars n mean sd median trimmed mad  min  max range skew kurtosis se
## X1    1 1 0.03 NA   0.03    0.03   0 0.03 0.03     0   NA       NA NA
## ------------------------------------------------------------ 
## group: Poace sp
##    vars n mean sd median trimmed mad  min  max range skew kurtosis se
## X1    1 1 0.03 NA   0.03    0.03   0 0.03 0.03     0   NA       NA NA
## ------------------------------------------------------------ 
## group: Polygonum segetum
##    vars n mean sd median trimmed mad  min  max range skew kurtosis se
## X1    1 1 0.72 NA   0.72    0.72   0 0.72 0.72     0   NA       NA NA
## ------------------------------------------------------------ 
## group: Raphanus
##    vars n mean sd median trimmed mad  min  max range skew kurtosis se
## X1    1 1 0.97 NA   0.97    0.97   0 0.97 0.97     0   NA       NA NA
## ------------------------------------------------------------ 
## group: Rumex
##    vars n mean sd median trimmed mad  min  max range skew kurtosis se
## X1    1 1 0.03 NA   0.03    0.03   0 0.03 0.03     0   NA       NA NA
## ------------------------------------------------------------ 
## group: Veronica
##    vars n mean sd median trimmed mad  min  max range skew kurtosis se
## X1    1 1 0.37 NA   0.37    0.37   0 0.37 0.37     0   NA       NA NA
# frecuencia relativa:
psych::describe(FRECUENCIARELATIVA)
##    vars  n mean    sd median trimmed mad  min   max range skew kurtosis   se
## X1    1 11 9.08 13.71   1.29    6.49   0 1.29 40.25 38.96 1.28    -0.02 4.13
describe.by(FRECUENCIARELATIVA, group = ESPECIESGL)
## Warning: describe.by is deprecated. Please use the describeBy function
## 
##  Descriptive statistics by group 
## group: Amaranthaceae
##    vars n mean sd median trimmed mad  min  max range skew kurtosis se
## X1    1 1 1.29 NA   1.29    1.29   0 1.29 1.29     0   NA       NA NA
## ------------------------------------------------------------ 
## group: Cotula australis
##    vars n mean sd median trimmed mad  min  max range skew kurtosis se
## X1    1 1 2.59 NA   2.59    2.59   0 2.59 2.59     0   NA       NA NA
## ------------------------------------------------------------ 
## group: fumaria capreolata
##    vars n mean sd median trimmed mad  min  max range skew kurtosis se
## X1    1 1 3.89 NA   3.89    3.89   0 3.89 3.89     0   NA       NA NA
## ------------------------------------------------------------ 
## group: Lepidium
##    vars n mean sd median trimmed mad  min  max range skew kurtosis se
## X1    1 1 1.29 NA   1.29    1.29   0 1.29 1.29     0   NA       NA NA
## ------------------------------------------------------------ 
## group: Lolium multiflorum
##    vars n mean sd median trimmed mad  min  max range skew kurtosis se
## X1    1 1 1.29 NA   1.29    1.29   0 1.29 1.29     0   NA       NA NA
## ------------------------------------------------------------ 
## group: Oxalis
##    vars n mean sd median trimmed mad  min  max range skew kurtosis se
## X1    1 1 1.29 NA   1.29    1.29   0 1.29 1.29     0   NA       NA NA
## ------------------------------------------------------------ 
## group: Poace sp
##    vars n mean sd median trimmed mad  min  max range skew kurtosis se
## X1    1 1 1.29 NA   1.29    1.29   0 1.29 1.29     0   NA       NA NA
## ------------------------------------------------------------ 
## group: Polygonum segetum
##    vars n  mean sd median trimmed mad   min   max range skew kurtosis se
## X1    1 1 29.87 NA  29.87   29.87   0 29.87 29.87     0   NA       NA NA
## ------------------------------------------------------------ 
## group: Raphanus
##    vars n  mean sd median trimmed mad   min   max range skew kurtosis se
## X1    1 1 40.25 NA  40.25   40.25   0 40.25 40.25     0   NA       NA NA
## ------------------------------------------------------------ 
## group: Rumex
##    vars n mean sd median trimmed mad  min  max range skew kurtosis se
## X1    1 1 1.29 NA   1.29    1.29   0 1.29 1.29     0   NA       NA NA
## ------------------------------------------------------------ 
## group: Veronica
##    vars n  mean sd median trimmed mad   min   max range skew kurtosis se
## X1    1 1 15.58 NA  15.58   15.58   0 15.58 15.58     0   NA       NA NA
# Dominancia: 
psych::describe(COBERTURATOTAL)
##    vars  n  mean    sd median trimmed  mad min max range skew kurtosis    se
## X1    1 11 89.36 216.1      5   28.78 4.45   0 724   724 2.26     3.78 65.16
describe.by(COBERTURATOTAL, group = ESPECIESGL)
## Warning: describe.by is deprecated. Please use the describeBy function
## 
##  Descriptive statistics by group 
## group: Amaranthaceae
##    vars n mean sd median trimmed mad min max range skew kurtosis se
## X1    1 1    0 NA      0       0   0   0   0     0   NA       NA NA
## ------------------------------------------------------------ 
## group: Cotula australis
##    vars n mean sd median trimmed mad min max range skew kurtosis se
## X1    1 1    2 NA      2       2   0   2   2     0   NA       NA NA
## ------------------------------------------------------------ 
## group: fumaria capreolata
##    vars n mean sd median trimmed mad min max range skew kurtosis se
## X1    1 1   11 NA     11      11   0  11  11     0   NA       NA NA
## ------------------------------------------------------------ 
## group: Lepidium
##    vars n mean sd median trimmed mad min max range skew kurtosis se
## X1    1 1    5 NA      5       5   0   5   5     0   NA       NA NA
## ------------------------------------------------------------ 
## group: Lolium multiflorum
##    vars n mean sd median trimmed mad min max range skew kurtosis se
## X1    1 1    6 NA      6       6   0   6   6     0   NA       NA NA
## ------------------------------------------------------------ 
## group: Oxalis
##    vars n mean sd median trimmed mad min max range skew kurtosis se
## X1    1 1    5 NA      5       5   0   5   5     0   NA       NA NA
## ------------------------------------------------------------ 
## group: Poace sp
##    vars n mean sd median trimmed mad min max range skew kurtosis se
## X1    1 1    5 NA      5       5   0   5   5     0   NA       NA NA
## ------------------------------------------------------------ 
## group: Polygonum segetum
##    vars n mean sd median trimmed mad min max range skew kurtosis se
## X1    1 1  165 NA    165     165   0 165 165     0   NA       NA NA
## ------------------------------------------------------------ 
## group: Raphanus
##    vars n mean sd median trimmed mad min max range skew kurtosis se
## X1    1 1  724 NA    724     724   0 724 724     0   NA       NA NA
## ------------------------------------------------------------ 
## group: Rumex
##    vars n mean sd median trimmed mad min max range skew kurtosis se
## X1    1 1  3.5 NA    3.5     3.5   0 3.5 3.5     0   NA       NA NA
## ------------------------------------------------------------ 
## group: Veronica
##    vars n mean sd median trimmed mad  min  max range skew kurtosis se
## X1    1 1 56.5 NA   56.5    56.5   0 56.5 56.5     0   NA       NA NA
#Dominancia relativa:
psych::describe(DOMINANCIARELATIVA)
##    vars  n mean    sd median trimmed  mad min   max range skew kurtosis   se
## X1    1 11 9.09 21.98    0.5    2.93 0.44   0 73.65 73.65 2.26     3.78 6.63
describe.by(DOMINANCIARELATIVA, group = ESPECIESGL)
## Warning: describe.by is deprecated. Please use the describeBy function
## 
##  Descriptive statistics by group 
## group: Amaranthaceae
##    vars n mean sd median trimmed mad min max range skew kurtosis se
## X1    1 1    0 NA      0       0   0   0   0     0   NA       NA NA
## ------------------------------------------------------------ 
## group: Cotula australis
##    vars n mean sd median trimmed mad min max range skew kurtosis se
## X1    1 1  0.2 NA    0.2     0.2   0 0.2 0.2     0   NA       NA NA
## ------------------------------------------------------------ 
## group: fumaria capreolata
##    vars n mean sd median trimmed mad  min  max range skew kurtosis se
## X1    1 1 1.12 NA   1.12    1.12   0 1.12 1.12     0   NA       NA NA
## ------------------------------------------------------------ 
## group: Lepidium
##    vars n mean sd median trimmed mad min max range skew kurtosis se
## X1    1 1  0.5 NA    0.5     0.5   0 0.5 0.5     0   NA       NA NA
## ------------------------------------------------------------ 
## group: Lolium multiflorum
##    vars n mean sd median trimmed mad  min  max range skew kurtosis se
## X1    1 1 0.61 NA   0.61    0.61   0 0.61 0.61     0   NA       NA NA
## ------------------------------------------------------------ 
## group: Oxalis
##    vars n mean sd median trimmed mad min max range skew kurtosis se
## X1    1 1  0.5 NA    0.5     0.5   0 0.5 0.5     0   NA       NA NA
## ------------------------------------------------------------ 
## group: Poace sp
##    vars n mean sd median trimmed mad min max range skew kurtosis se
## X1    1 1  0.5 NA    0.5     0.5   0 0.5 0.5     0   NA       NA NA
## ------------------------------------------------------------ 
## group: Polygonum segetum
##    vars n  mean sd median trimmed mad   min   max range skew kurtosis se
## X1    1 1 16.79 NA  16.79   16.79   0 16.79 16.79     0   NA       NA NA
## ------------------------------------------------------------ 
## group: Raphanus
##    vars n  mean sd median trimmed mad   min   max range skew kurtosis se
## X1    1 1 73.65 NA  73.65   73.65   0 73.65 73.65     0   NA       NA NA
## ------------------------------------------------------------ 
## group: Rumex
##    vars n mean sd median trimmed mad  min  max range skew kurtosis se
## X1    1 1 0.36 NA   0.36    0.36   0 0.36 0.36     0   NA       NA NA
## ------------------------------------------------------------ 
## group: Veronica
##    vars n mean sd median trimmed mad  min  max range skew kurtosis se
## X1    1 1 5.75 NA   5.75    5.75   0 5.75 5.75     0   NA       NA NA
## Resultados gráficos por especie 
#Densidad por metro cuadrado de cada especie en los 8 metros cuadrados en total

ggplot(DMTOTAL, aes(x = ESPECIESGL, y = DENSIDADMCUADRADO, fill = ESPECIESGL)) + 
  geom_bar(stat = "identity") +
   guides(fill = guide_legend(title = "ESPECIES")) + 
    ggtitle("Densidad de especies por metro cuadrado") + 
     theme(panel.border = element_rect(fill = "transparent", color = 4,size = 2))  + 
       theme(plot.background = element_rect(fill = "gray86")) +
     theme(plot.background = element_rect(color = "black", size = 2)) +
  xlab("Especies") + ylab("Número de individuos") + 
  theme(axis.title.x = element_text(size = 13, color = "black")) + theme(axis.title.y = element_text(size = 13, color = "black")) + theme(axis.text.x = element_text(angle = 45, vjust = 1, hjust = 1))

#Densidad relativa de cada especie en los 8 metros cuadrados en total

ggplot(DMTOTAL, aes(x = ESPECIESGL, y = DENSIDADRELATIVA, fill = ESPECIESGL)) + 
  geom_bar(stat = "identity") +
   guides(fill = guide_legend(title = "ESPECIES")) + 
    ggtitle("Densidad relativa de especies en las 32 muestras") + 
     theme(panel.border = element_rect(fill = "transparent", color = 4,size = 2))  + 
       theme(plot.background = element_rect(fill = "gray86")) +
     theme(plot.background = element_rect(color = "black", size = 2)) +
  xlab("Especies") + ylab("Densidad relativa %") + 
  theme(axis.title.x = element_text(size = 13, color = "black")) + theme(axis.title.y = element_text(size = 13, color = "black")) + theme(axis.text.x = element_text(angle = 45, vjust = 1, hjust = 1))

#Frecuencia relativa de cada especie en los 8 metros cuadrados en total

ggplot(DMTOTAL, aes(x = ESPECIESGL, y = FRECUENCIARELATIVA, fill = ESPECIESGL)) + 
  geom_bar(stat = "identity") +
   guides(fill = guide_legend(title = "ESPECIES")) + 
    ggtitle("Frecuencia relativa de especies en las 32 muestras") + 
     theme(panel.border = element_rect(fill = "transparent", color = 4,size = 2))  + 
       theme(plot.background = element_rect(fill = "gray86")) +
     theme(plot.background = element_rect(color = "black", size = 2)) +
  xlab("Especies") + ylab("frecuencia relativa %") + 
  theme(axis.title.x = element_text(size = 13, color = "black")) + theme(axis.title.y = element_text(size = 13, color = "black")) + theme(axis.text.x = element_text(angle = 45, vjust = 1, hjust = 1))

#Dominancia relativa de cada especie en los 8 metros cuadrados en total

ggplot(DMTOTAL, aes(x = ESPECIESGL, y = DOMINANCIARELATIVA, fill = ESPECIESGL)) + 
  geom_bar(stat = "identity") +
   guides(fill = guide_legend(title = "ESPECIES")) + 
    ggtitle("Dominancia relativa de especies en las 32 muestras") + 
     theme(panel.border = element_rect(fill = "transparent", color = 4,size = 2))  + 
       theme(plot.background = element_rect(fill = "gray86")) +
     theme(plot.background = element_rect(color = "black", size = 2)) +
  xlab("Especies") + ylab("Dominancia relativa %") + 
  theme(axis.title.x = element_text(size = 13, color = "black")) + theme(axis.title.y = element_text(size = 13, color = "black")) + theme(axis.text.x = element_text(angle = 45, vjust = 1, hjust = 1))

#Dominancia relativa de cada especie en los 8 metros cuadrados en total

ggplot(DMTOTAL, aes(x = ESPECIESGL, y = IVI, fill = ESPECIESGL)) + 
  geom_bar(stat = "identity") +
   guides(fill = guide_legend(title = "ESPECIES")) + 
    ggtitle("Indice de valor de importancia") + 
     theme(panel.border = element_rect(fill = "transparent", color = 4,size = 2))  + 
       theme(plot.background = element_rect(fill = "gray86")) +
     theme(plot.background = element_rect(color = "black", size = 2)) +
  xlab("Especies") + ylab("Valor de importancia") + 
  theme(axis.title.x = element_text(size = 13, color = "black")) + theme(axis.title.y = element_text(size = 13, color = "black")) + theme(axis.text.x = element_text(angle = 45, vjust = 1, hjust = 1))

Análisis por cada especie y muestra de cada grupo

\[Ho={\mu1... =\mu11 }\] \[H1={\mu1... \neq \mu11 }\]

muestras <- read_excel("C:\\Users\\andre\\OneDrive\\Escritorio\\mALEZAS.xlsx", 
    col_types = c("numeric", "numeric", "numeric", 
        "text", "numeric", "numeric", "numeric"))
attach(muestras)
## The following object is masked from DMTOTAL:
## 
##     MUESTREO
## The following objects are masked from MALEZASDENSI:
## 
##     FRECUENCIA, MUESTREO
# Análisis de densidad de cada grupo 
psych::describe(DENSIDAD)
##    vars   n mean    sd median trimmed mad min max range skew kurtosis   se
## X1    1 352 4.74 15.32      0    0.92   0   0 147   147 5.37    36.64 0.82
describe.by(DENSIDAD, group = GRUPO)
## Warning: describe.by is deprecated. Please use the describeBy function
## 
##  Descriptive statistics by group 
## group: 1
##    vars  n mean    sd median trimmed mad min max range skew kurtosis   se
## X1    1 44 3.89 11.52      0    0.83   0   0  64    64 3.81    15.32 1.74
## ------------------------------------------------------------ 
## group: 2
##    vars  n mean  sd median trimmed mad min max range skew kurtosis   se
## X1    1 44 2.27 6.1      0    0.58   0   0  26    26 2.84      7.3 0.92
## ------------------------------------------------------------ 
## group: 3
##    vars  n mean    sd median trimmed mad min max range skew kurtosis   se
## X1    1 44 5.57 14.69      0       2   0   0  78    78 3.48    12.78 2.22
## ------------------------------------------------------------ 
## group: 4
##    vars  n mean    sd median trimmed mad min max range skew kurtosis   se
## X1    1 44 9.02 30.21      0    0.89   0   0 147   147 3.69    12.85 4.55
## ------------------------------------------------------------ 
## group: 5
##    vars  n mean   sd median trimmed mad min max range skew kurtosis   se
## X1    1 44 2.43 7.08      0    0.42   0   0  30    30 3.04     8.13 1.07
## ------------------------------------------------------------ 
## group: 6
##    vars  n mean   sd median trimmed mad min max range skew kurtosis   se
## X1    1 44 3.98 9.16      0    1.56   0   0  35    35 2.24     3.74 1.38
## ------------------------------------------------------------ 
## group: 7
##    vars  n mean    sd median trimmed mad min max range skew kurtosis   se
## X1    1 44    7 18.44      0    1.61   0   0  76    76 2.65     5.76 2.78
## ------------------------------------------------------------ 
## group: 8
##    vars  n mean    sd median trimmed mad min max range skew kurtosis   se
## X1    1 44 3.75 10.23      0    1.08   0   0  46    46 2.91     8.01 1.54
#Análisis de densidad de cada especie 
psych::describe(DENSIDAD)
##    vars   n mean    sd median trimmed mad min max range skew kurtosis   se
## X1    1 352 4.74 15.32      0    0.92   0   0 147   147 5.37    36.64 0.82
describe.by(DENSIDAD, group = ESPECIE) 
## Warning: describe.by is deprecated. Please use the describeBy function
## 
##  Descriptive statistics by group 
## group: Amaranthaceae
##    vars  n mean   sd median trimmed mad min max range skew kurtosis   se
## X1    1 32 0.03 0.18      0       0   0   0   1     1 5.14    25.18 0.03
## ------------------------------------------------------------ 
## group: Cotula australis
##    vars  n mean   sd median trimmed mad min max range skew kurtosis   se
## X1    1 32 0.06 0.25      0       0   0   0   1     1 3.45     10.2 0.04
## ------------------------------------------------------------ 
## group: fumaria capreolata
##    vars  n mean   sd median trimmed mad min max range skew kurtosis   se
## X1    1 32 0.38 1.36      0       0   0   0   6     6 3.41    10.26 0.24
## ------------------------------------------------------------ 
## group: Lepidium
##    vars  n mean   sd median trimmed mad min max range skew kurtosis   se
## X1    1 32 0.16 0.88      0       0   0   0   5     5 5.14    25.18 0.16
## ------------------------------------------------------------ 
## group: Lolium multiflorum
##    vars  n mean   sd median trimmed mad min max range skew kurtosis   se
## X1    1 32 0.47 2.65      0       0   0   0  15    15 5.14    25.18 0.47
## ------------------------------------------------------------ 
## group: Oxalis
##    vars  n mean   sd median trimmed mad min max range skew kurtosis   se
## X1    1 32 0.12 0.71      0       0   0   0   4     4 5.14    25.18 0.12
## ------------------------------------------------------------ 
## group: Poace sp
##    vars  n mean   sd median trimmed mad min max range skew kurtosis   se
## X1    1 32 0.44 2.47      0       0   0   0  14    14 5.14    25.18 0.44
## ------------------------------------------------------------ 
## group: Polygonum segetum
##    vars  n  mean    sd median trimmed  mad min max range skew kurtosis   se
## X1    1 32 20.44 35.67    5.5    11.5 8.15   0 147   147  2.4     5.04 6.31
## ------------------------------------------------------------ 
## group: Raphanus
##    vars  n  mean    sd median trimmed   mad min max range skew kurtosis   se
## X1    1 32 22.84 18.48     16   21.12 17.05   0  64    64 0.76    -0.55 3.27
## ------------------------------------------------------------ 
## group: Rumex
##    vars  n mean   sd median trimmed mad min max range skew kurtosis   se
## X1    1 32 0.03 0.18      0       0   0   0   1     1 5.14    25.18 0.03
## ------------------------------------------------------------ 
## group: Veronica
##    vars  n mean    sd median trimmed mad min max range skew kurtosis   se
## X1    1 32 7.16 16.09      0    2.96   0   0  76    76 2.87      8.4 2.85
#análisis de cada especie por grupo 
psych::describe(GRUPO)
##    vars   n mean   sd median trimmed  mad min max range skew kurtosis   se
## X1    1 352  4.5 2.29    4.5     4.5 2.97   1   8     7    0    -1.25 0.12
#mAnálisis de varianza de la densidad.

mod01 <- aov(DENSIDAD~ESPECIE)
anova(mod01)
## Analysis of Variance Table
## 
## Response: DENSIDAD
##            Df Sum Sq Mean Sq F value    Pr(>F)    
## ESPECIE    10  23819 2381.88   13.87 < 2.2e-16 ***
## Residuals 341  58559  171.73                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
mod02 <- aov(DENSIDAD~GRUPO+ESPECIE)
anova(mod02)
## Analysis of Variance Table
## 
## Response: DENSIDAD
##            Df Sum Sq Mean Sq F value Pr(>F)    
## GRUPO       1     34   33.55  0.1949 0.6591    
## ESPECIE    10  23819 2381.88 13.8373 <2e-16 ***
## Residuals 340  58526  172.13                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
ggplot(data = muestras, aes(x = ESPECIE, y = DENSIDAD)) + 
  geom_jitter(aes(color = ESPECIE), size = 1, alpha = 0.7) +
  geom_boxplot(aes(color = ESPECIE), alpha = 0.7) + 
  xlab('Especie') + stat_summary(fun.y = mean)+ 
  ylab('Densidad') +
  ggtitle('Densidad de las especies con la media') + 
  theme_minimal() + theme(axis.text.x = element_text(angle = 45, vjust = 1, hjust = 1))
## Warning: `fun.y` is deprecated. Use `fun` instead.
## Warning: Removed 1 rows containing non-finite values (stat_boxplot).
## Warning: Removed 1 rows containing non-finite values (stat_summary).
## Warning: Removed 1 rows containing missing values (geom_point).
## Warning: Removed 11 rows containing missing values (geom_segment).

class(muestras)
## [1] "tbl_df"     "tbl"        "data.frame"
rapha <- filter(muestras, ESPECIE == "Raphanus") 
raphan <-  muestras %>%               
    filter(ESPECIE == "Raphanus")



## Indices de diversidad 

library(abdiv)
## 
## Attaching package: 'abdiv'
## The following objects are masked from 'package:psych':
## 
##     manhattan, minkowski, shannon
library(vegan)
## Loading required package: permute
## This is vegan 2.6-4
library(codyn)
library(divo)
## Loading required package: cluster
library(fossil)
## Loading required package: sp
## Loading required package: maps
## 
## Attaching package: 'maps'
## The following object is masked from 'package:cluster':
## 
##     votes.repub
## The following object is masked from 'package:purrr':
## 
##     map
## Loading required package: shapefiles
## Loading required package: foreign
## 
## Attaching package: 'shapefiles'
## The following objects are masked from 'package:foreign':
## 
##     read.dbf, write.dbf
## The following object is masked from 'package:divo':
## 
##     dp
## 
## Attaching package: 'fossil'
## The following objects are masked from 'package:abdiv':
## 
##     euclidean, jaccard, manhattan, simpson, sorenson
## The following object is masked from 'package:psych':
## 
##     manhattan
#Índice de Shannon
diversity(DMTOTAL$DENSIDADMT, index = "shannon")
## [1] 1.16747
#Índice de Simpson
diversity(DMTOTAL$DENSIDADRELATIVA, index = "simpson")
## [1] 0.6343469
#Índice de Pielou
pielou_e(DMTOTAL$DENSIDADRELATIVA)
## [1] 0.485396
#Índice de Margalef
margalef(DMTOTAL$DENSIDADRELATIVA)
## [1] 2.171897
soronsen <- li(DMTOTAL, CI = 0.95, resample = 100, graph = FALSE, csv_output = FALSE, 
PlugIn = FALSE, size = 1, saveBootstrap = FALSE)
## Warning in li(DMTOTAL, CI = 0.95, resample = 100, graph = FALSE, csv_output =
## FALSE, : NAs introducidos por coerción
soronsen
## $Mean
##                     MUESTREO ESPECIESGL DENSIDADMT DENSIDADRELATIVA
## MUESTREO           1.0000000  0.0000000  0.0000000        0.0000000
## ESPECIESGL         1.0000000  1.0000000  0.0000000        0.0000000
## DENSIDADMT         1.0000000  1.0000000  1.0000000        0.0000000
## DENSIDADRELATIVA   0.4285714  0.4285714  0.4285714        1.0000000
## FRECUENCIATOTAL    0.0000000  0.0000000  0.0000000        0.0000000
## FRECUENCIARELATIVA 1.0000000  1.0000000  1.0000000        0.4285714
## COBERTURATOTAL     0.9523810  0.9523810  0.9523810        0.4615385
## DOMINANCIARELATIVA 0.5333333  0.5333333  0.5333333        0.8571429
## DENSIDADPROMT      0.4285714  0.4285714  0.4285714        1.0000000
## COBERTURAPROMT     0.4285714  0.4285714  0.4285714        1.0000000
## DENSIDADMCUADRADO  0.7058824  0.7058824  0.7058824        0.6666667
## IVI                1.0000000  1.0000000  1.0000000        0.4285714
##                    FRECUENCIATOTAL FRECUENCIARELATIVA COBERTURATOTAL
## MUESTREO                         0          0.0000000      0.0000000
## ESPECIESGL                       0          0.0000000      0.0000000
## DENSIDADMT                       0          0.0000000      0.0000000
## DENSIDADRELATIVA                 0          0.0000000      0.0000000
## FRECUENCIATOTAL                  1          0.0000000      0.0000000
## FRECUENCIARELATIVA               0          1.0000000      0.0000000
## COBERTURATOTAL                   0          0.9523810      1.0000000
## DOMINANCIARELATIVA               0          0.5333333      0.5714286
## DENSIDADPROMT                    0          0.4285714      0.4615385
## COBERTURAPROMT                   0          0.4285714      0.4615385
## DENSIDADMCUADRADO                0          0.7058824      0.7500000
## IVI                              0          1.0000000      0.9523810
##                    DOMINANCIARELATIVA DENSIDADPROMT COBERTURAPROMT
## MUESTREO                    0.0000000     0.0000000      0.0000000
## ESPECIESGL                  0.0000000     0.0000000      0.0000000
## DENSIDADMT                  0.0000000     0.0000000      0.0000000
## DENSIDADRELATIVA            0.0000000     0.0000000      0.0000000
## FRECUENCIATOTAL             0.0000000     0.0000000      0.0000000
## FRECUENCIARELATIVA          0.0000000     0.0000000      0.0000000
## COBERTURATOTAL              0.0000000     0.0000000      0.0000000
## DOMINANCIARELATIVA          1.0000000     0.0000000      0.0000000
## DENSIDADPROMT               0.8571429     1.0000000      0.0000000
## COBERTURAPROMT              0.8571429     1.0000000      1.0000000
## DENSIDADMCUADRADO           0.8000000     0.6666667      0.6666667
## IVI                         0.5333333     0.4285714      0.4285714
##                    DENSIDADMCUADRADO IVI
## MUESTREO                   0.0000000   0
## ESPECIESGL                 0.0000000   0
## DENSIDADMT                 0.0000000   0
## DENSIDADRELATIVA           0.0000000   0
## FRECUENCIATOTAL            0.0000000   0
## FRECUENCIARELATIVA         0.0000000   0
## COBERTURATOTAL             0.0000000   0
## DOMINANCIARELATIVA         0.0000000   0
## DENSIDADPROMT              0.0000000   0
## COBERTURAPROMT             0.0000000   0
## DENSIDADMCUADRADO          1.0000000   0
## IVI                        0.7058824   1
## 
## $Lower.Quantile
##                     MUESTREO ESPECIESGL DENSIDADMT DENSIDADRELATIVA
## MUESTREO           1.0000000  0.0000000  0.0000000        0.0000000
## ESPECIESGL         1.0000000  1.0000000  0.0000000        0.0000000
## DENSIDADMT         1.0000000  1.0000000  1.0000000        0.0000000
## DENSIDADRELATIVA   0.4285714  0.4285714  0.4285714        1.0000000
## FRECUENCIATOTAL    0.0000000  0.0000000  0.0000000        0.0000000
## FRECUENCIARELATIVA 1.0000000  1.0000000  1.0000000        0.4285714
## COBERTURATOTAL     0.9523810  0.9523810  0.9523810        0.4615385
## DOMINANCIARELATIVA 0.5333333  0.5333333  0.5333333        0.8571429
## DENSIDADPROMT      0.4285714  0.4285714  0.4285714        1.0000000
## COBERTURAPROMT     0.4285714  0.4285714  0.4285714        1.0000000
## DENSIDADMCUADRADO  0.7058824  0.7058824  0.7058824        0.6666667
## IVI                1.0000000  1.0000000  1.0000000        0.4285714
##                    FRECUENCIATOTAL FRECUENCIARELATIVA COBERTURATOTAL
## MUESTREO                         0          0.0000000      0.0000000
## ESPECIESGL                       0          0.0000000      0.0000000
## DENSIDADMT                       0          0.0000000      0.0000000
## DENSIDADRELATIVA                 0          0.0000000      0.0000000
## FRECUENCIATOTAL                  1          0.0000000      0.0000000
## FRECUENCIARELATIVA               0          1.0000000      0.0000000
## COBERTURATOTAL                   0          0.9523810      1.0000000
## DOMINANCIARELATIVA               0          0.5333333      0.5714286
## DENSIDADPROMT                    0          0.4285714      0.4615385
## COBERTURAPROMT                   0          0.4285714      0.4615385
## DENSIDADMCUADRADO                0          0.7058824      0.7500000
## IVI                              0          1.0000000      0.9523810
##                    DOMINANCIARELATIVA DENSIDADPROMT COBERTURAPROMT
## MUESTREO                    0.0000000     0.0000000      0.0000000
## ESPECIESGL                  0.0000000     0.0000000      0.0000000
## DENSIDADMT                  0.0000000     0.0000000      0.0000000
## DENSIDADRELATIVA            0.0000000     0.0000000      0.0000000
## FRECUENCIATOTAL             0.0000000     0.0000000      0.0000000
## FRECUENCIARELATIVA          0.0000000     0.0000000      0.0000000
## COBERTURATOTAL              0.0000000     0.0000000      0.0000000
## DOMINANCIARELATIVA          1.0000000     0.0000000      0.0000000
## DENSIDADPROMT               0.8571429     1.0000000      0.0000000
## COBERTURAPROMT              0.8571429     1.0000000      1.0000000
## DENSIDADMCUADRADO           0.8000000     0.6666667      0.6666667
## IVI                         0.5333333     0.4285714      0.4285714
##                    DENSIDADMCUADRADO IVI
## MUESTREO                   0.0000000   0
## ESPECIESGL                 0.0000000   0
## DENSIDADMT                 0.0000000   0
## DENSIDADRELATIVA           0.0000000   0
## FRECUENCIATOTAL            0.0000000   0
## FRECUENCIARELATIVA         0.0000000   0
## COBERTURATOTAL             0.0000000   0
## DOMINANCIARELATIVA         0.0000000   0
## DENSIDADPROMT              0.0000000   0
## COBERTURAPROMT             0.0000000   0
## DENSIDADMCUADRADO          1.0000000   0
## IVI                        0.7058824   1
## 
## $Upper.Quantile
##                     MUESTREO ESPECIESGL DENSIDADMT DENSIDADRELATIVA
## MUESTREO           1.0000000  0.0000000  0.0000000        0.0000000
## ESPECIESGL         1.0000000  1.0000000  0.0000000        0.0000000
## DENSIDADMT         1.0000000  1.0000000  1.0000000        0.0000000
## DENSIDADRELATIVA   0.4285714  0.4285714  0.4285714        1.0000000
## FRECUENCIATOTAL    0.0000000  0.0000000  0.0000000        0.0000000
## FRECUENCIARELATIVA 1.0000000  1.0000000  1.0000000        0.4285714
## COBERTURATOTAL     0.9523810  0.9523810  0.9523810        0.4615385
## DOMINANCIARELATIVA 0.5333333  0.5333333  0.5333333        0.8571429
## DENSIDADPROMT      0.4285714  0.4285714  0.4285714        1.0000000
## COBERTURAPROMT     0.4285714  0.4285714  0.4285714        1.0000000
## DENSIDADMCUADRADO  0.7058824  0.7058824  0.7058824        0.6666667
## IVI                1.0000000  1.0000000  1.0000000        0.4285714
##                    FRECUENCIATOTAL FRECUENCIARELATIVA COBERTURATOTAL
## MUESTREO                         0          0.0000000      0.0000000
## ESPECIESGL                       0          0.0000000      0.0000000
## DENSIDADMT                       0          0.0000000      0.0000000
## DENSIDADRELATIVA                 0          0.0000000      0.0000000
## FRECUENCIATOTAL                  1          0.0000000      0.0000000
## FRECUENCIARELATIVA               0          1.0000000      0.0000000
## COBERTURATOTAL                   0          0.9523810      1.0000000
## DOMINANCIARELATIVA               0          0.5333333      0.5714286
## DENSIDADPROMT                    0          0.4285714      0.4615385
## COBERTURAPROMT                   0          0.4285714      0.4615385
## DENSIDADMCUADRADO                0          0.7058824      0.7500000
## IVI                              0          1.0000000      0.9523810
##                    DOMINANCIARELATIVA DENSIDADPROMT COBERTURAPROMT
## MUESTREO                    0.0000000     0.0000000      0.0000000
## ESPECIESGL                  0.0000000     0.0000000      0.0000000
## DENSIDADMT                  0.0000000     0.0000000      0.0000000
## DENSIDADRELATIVA            0.0000000     0.0000000      0.0000000
## FRECUENCIATOTAL             0.0000000     0.0000000      0.0000000
## FRECUENCIARELATIVA          0.0000000     0.0000000      0.0000000
## COBERTURATOTAL              0.0000000     0.0000000      0.0000000
## DOMINANCIARELATIVA          1.0000000     0.0000000      0.0000000
## DENSIDADPROMT               0.8571429     1.0000000      0.0000000
## COBERTURAPROMT              0.8571429     1.0000000      1.0000000
## DENSIDADMCUADRADO           0.8000000     0.6666667      0.6666667
## IVI                         0.5333333     0.4285714      0.4285714
##                    DENSIDADMCUADRADO IVI
## MUESTREO                   0.0000000   0
## ESPECIESGL                 0.0000000   0
## DENSIDADMT                 0.0000000   0
## DENSIDADRELATIVA           0.0000000   0
## FRECUENCIATOTAL            0.0000000   0
## FRECUENCIARELATIVA         0.0000000   0
## COBERTURATOTAL             0.0000000   0
## DOMINANCIARELATIVA         0.0000000   0
## DENSIDADPROMT              0.0000000   0
## COBERTURAPROMT             0.0000000   0
## DENSIDADMCUADRADO          1.0000000   0
## IVI                        0.7058824   1
vegdist(DMTOTAL$DENSIDADRELATIVA, method = "jaccard", diag = F)
##             1          2          3          4          5          6          7
## 2  0.10906193                                                                  
## 3  0.64988500 0.68806922                                                       
## 4  0.99258881 0.99339709 0.97883212                                            
## 5  0.97878865 0.98110200 0.93941606 0.65060241                                 
## 6  0.99872221 0.99886157 0.99635036 0.82758621 0.93975904                      
## 7  0.99718886 0.99749545 0.99197080 0.62068966 0.86746988 0.54545455           
## 8  0.97725530 0.97973588 0.93503650 0.67415730 0.06741573 0.94382022 0.87640449
## 9  0.99872221 0.99886157 0.99635036 0.82758621 0.93975904 0.00000000 0.54545455
## 10 0.98185535 0.98383424 0.94817518 0.59154930 0.14457831 0.92957746 0.84507042
## 11 0.99412216 0.99476321 0.98321168 0.20689655 0.72289157 0.78260870 0.52173913
##             8          9         10
## 2                                  
## 3                                  
## 4                                  
## 5                                  
## 6                                  
## 7                                  
## 8                                  
## 9  0.94382022                      
## 10 0.20224719 0.92957746           
## 11 0.74157303 0.78260870 0.67605634