library(pastecs)
options("scipen"=100, "digits"=3)
LMB_Sim<-subset(SimData, Species=="LMB")
Pred2LMB<-subset(LMB_Sim, Predators=="two")
Pred3LMB<-subset(LMB_Sim, Predators=="three")
stat.desc(Pred2LMB)
##              Refuge_Time_Spent Food_Density Predators Species
## nbr.val             128.000000     128.0000        NA      NA
## nbr.null              0.000000       0.0000        NA      NA
## nbr.na                0.000000       0.0000        NA      NA
## min                   0.000768       0.2000        NA      NA
## max                   1.000000       1.0000        NA      NA
## range                 0.999232       0.8000        NA      NA
## sum                  60.391241      64.0000        NA      NA
## median                0.457578       0.4000        NA      NA
## mean                  0.471807       0.5000        NA      NA
## SE.mean               0.025412       0.0274        NA      NA
## CI.mean.0.95          0.050285       0.0541        NA      NA
## var                   0.082657       0.0957        NA      NA
## std.dev               0.287502       0.3094        NA      NA
## coef.var              0.609364       0.6189        NA      NA
stat.desc(Pred3LMB)
##              Refuge_Time_Spent Food_Density Predators Species
## nbr.val                64.0000      64.0000        NA      NA
## nbr.null                0.0000       0.0000        NA      NA
## nbr.na                  0.0000       0.0000        NA      NA
## min                     0.0279       0.6000        NA      NA
## max                     0.9662       1.0000        NA      NA
## range                   0.9383       0.4000        NA      NA
## sum                    32.7242      51.2000        NA      NA
## median                  0.5131       0.8000        NA      NA
## mean                    0.5113       0.8000        NA      NA
## SE.mean                 0.0266       0.0252        NA      NA
## CI.mean.0.95            0.0532       0.0504        NA      NA
## var                     0.0454       0.0406        NA      NA
## std.dev                 0.2131       0.2016        NA      NA
## coef.var                0.4168       0.2520        NA      NA
stat.desc(LMB_Sim)
##              Refuge_Time_Spent Food_Density Predators Species
## nbr.val             192.000000     192.0000        NA      NA
## nbr.null              0.000000       0.0000        NA      NA
## nbr.na                0.000000       0.0000        NA      NA
## min                   0.000768       0.2000        NA      NA
## max                   1.000000       1.0000        NA      NA
## range                 0.999232       0.8000        NA      NA
## sum                  93.115392     115.2000        NA      NA
## median                0.483177       0.5500        NA      NA
## mean                  0.484976       0.6000        NA      NA
## SE.mean               0.019134       0.0225        NA      NA
## CI.mean.0.95          0.037740       0.0444        NA      NA
## var                   0.070290       0.0972        NA      NA
## std.dev               0.265123       0.3117        NA      NA
## coef.var              0.546671       0.5195        NA      NA
library(pastecs)
options("scipen"=100, "digits"=3)
SMB_Sim<-subset(SimData, Species=="SMB")
Pred2SMB<-subset(SMB_Sim, Predators=="two")
Pred3SMB<-subset(SMB_Sim, Predators=="three")
stat.desc(Pred3SMB)
##              Refuge_Time_Spent Food_Density Predators Species
## nbr.val                64.0000      64.0000        NA      NA
## nbr.null                0.0000       0.0000        NA      NA
## nbr.na                  0.0000       0.0000        NA      NA
## min                     0.0244       0.6000        NA      NA
## max                     0.9679       1.0000        NA      NA
## range                   0.9435       0.4000        NA      NA
## sum                    35.2577      51.2000        NA      NA
## median                  0.5758       0.8000        NA      NA
## mean                    0.5509       0.8000        NA      NA
## SE.mean                 0.0245       0.0252        NA      NA
## CI.mean.0.95            0.0489       0.0504        NA      NA
## var                     0.0384       0.0406        NA      NA
## std.dev                 0.1959       0.2016        NA      NA
## coef.var                0.3555       0.2520        NA      NA
stat.desc(Pred2SMB)
##              Refuge_Time_Spent Food_Density Predators Species
## nbr.val              128.00000     128.0000        NA      NA
## nbr.null               0.00000       0.0000        NA      NA
## nbr.na                 0.00000       0.0000        NA      NA
## min                    0.00874       0.2000        NA      NA
## max                    1.00000       1.0000        NA      NA
## range                  0.99126       0.8000        NA      NA
## sum                   53.53382      64.0000        NA      NA
## median                 0.35993       0.4000        NA      NA
## mean                   0.41823       0.5000        NA      NA
## SE.mean                0.02507       0.0274        NA      NA
## CI.mean.0.95           0.04960       0.0541        NA      NA
## var                    0.08043       0.0957        NA      NA
## std.dev                0.28360       0.3094        NA      NA
## coef.var               0.67810       0.6189        NA      NA
stat.desc(SMB_Sim)
##              Refuge_Time_Spent Food_Density Predators Species
## nbr.val              192.00000     192.0000        NA      NA
## nbr.null               0.00000       0.0000        NA      NA
## nbr.na                 0.00000       0.0000        NA      NA
## min                    0.00874       0.2000        NA      NA
## max                    1.00000       1.0000        NA      NA
## range                  0.99126       0.8000        NA      NA
## sum                   88.79154     115.2000        NA      NA
## median                 0.44524       0.5500        NA      NA
## mean                   0.46246       0.6000        NA      NA
## SE.mean                0.01910       0.0225        NA      NA
## CI.mean.0.95           0.03768       0.0444        NA      NA
## var                    0.07006       0.0972        NA      NA
## std.dev                0.26470       0.3117        NA      NA
## coef.var               0.57237       0.5195        NA      NA
SimData$Food_Density<-as.factor(SimData$Food_Density)
summary(SimData)
##  Refuge_Time_Spent Food_Density Predators   Species  
##  Min.   :0.001     0.2: 64      three:128   LMB:192  
##  1st Qu.:0.274     0.3: 64      two  :256   SMB:192  
##  Median :0.475     0.5: 64                           
##  Mean   :0.474     0.6: 64                           
##  3rd Qu.:0.662     1  :128                           
##  Max.   :1.000
shapiro.test(SimData$Refuge_Time_Spent)
## 
##  Shapiro-Wilk normality test
## 
## data:  SimData$Refuge_Time_Spent
## W = 1, p-value = 0.000005
library(car)
## Loading required package: carData
leveneTest(SimData$Refuge_Time_Spent,SimData$Food_Density, center = mean)
## Levene's Test for Homogeneity of Variance (center = mean)
##        Df F value       Pr(>F)    
## group   4    11.5 0.0000000079 ***
##       379                         
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
leveneTest(SimData$Refuge_Time_Spent,SimData$Predators, center = mean)
## Levene's Test for Homogeneity of Variance (center = mean)
##        Df F value    Pr(>F)    
## group   1    22.4 0.0000031 ***
##       382                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
hist(SimData$Refuge_Time_Spent)

SimData$sizelog<-log10(SimData$Refuge_Time_Spent)
shapiro.test(SimData$sizelog)
## 
##  Shapiro-Wilk normality test
## 
## data:  SimData$sizelog
## W = 0.8, p-value <0.0000000000000002
library(car)
leveneTest(SimData$sizelog,SimData$Food_Density, center = mean)
## Levene's Test for Homogeneity of Variance (center = mean)
##        Df F value     Pr(>F)    
## group   4    9.24 0.00000039 ***
##       379                       
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SimData$log<-log(SimData$Refuge_Time_Spent)
shapiro.test(SimData$log)
## 
##  Shapiro-Wilk normality test
## 
## data:  SimData$log
## W = 0.8, p-value <0.0000000000000002
library(car)
leveneTest(SimData$log,SimData$Food_Density, center = mean)
## Levene's Test for Homogeneity of Variance (center = mean)
##        Df F value     Pr(>F)    
## group   4    9.24 0.00000039 ***
##       379                       
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
SimData$sqrt<-sqrt(SimData$Refuge_Time_Spent)
shapiro.test(SimData$sqrt)
## 
##  Shapiro-Wilk normality test
## 
## data:  SimData$sqrt
## W = 1, p-value = 0.000000007
library(car)
leveneTest(SimData$sqrt,SimData$Food_Density, center = mean)
## Levene's Test for Homogeneity of Variance (center = mean)
##        Df F value      Pr(>F)    
## group   4    11.2 0.000000015 ***
##       379                        
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
kruskal.test(Pred2LMB$Refuge_Time_Spent,Pred2LMB$Food_Density)
## 
##  Kruskal-Wallis rank sum test
## 
## data:  Pred2LMB$Refuge_Time_Spent and Pred2LMB$Food_Density
## Kruskal-Wallis chi-squared = 9, df = 3, p-value = 0.03
kruskal.test(Pred3LMB$Refuge_Time_Spent,Pred3LMB$Food_Density)
## 
##  Kruskal-Wallis rank sum test
## 
## data:  Pred3LMB$Refuge_Time_Spent and Pred3LMB$Food_Density
## Kruskal-Wallis chi-squared = 7, df = 1, p-value = 0.008
kruskal.test(Pred2SMB$Refuge_Time_Spent,Pred2SMB$Food_Density)
## 
##  Kruskal-Wallis rank sum test
## 
## data:  Pred2SMB$Refuge_Time_Spent and Pred2SMB$Food_Density
## Kruskal-Wallis chi-squared = 8, df = 3, p-value = 0.04
kruskal.test(Pred3SMB$Refuge_Time_Spent,Pred3SMB$Food_Density)
## 
##  Kruskal-Wallis rank sum test
## 
## data:  Pred3SMB$Refuge_Time_Spent and Pred3SMB$Food_Density
## Kruskal-Wallis chi-squared = 2, df = 1, p-value = 0.1
pairwise.wilcox.test(Pred2LMB$Refuge_Time_Spent,Pred2LMB$Food_Density)
## Warning in wilcox.test.default(xi, xj, paired = paired, ...): cannot compute
## exact p-value with ties
## Warning in wilcox.test.default(xi, xj, paired = paired, ...): cannot compute
## exact p-value with ties
## Warning in wilcox.test.default(xi, xj, paired = paired, ...): cannot compute
## exact p-value with ties
## Warning in wilcox.test.default(xi, xj, paired = paired, ...): cannot compute
## exact p-value with ties
## 
##  Pairwise comparisons using Wilcoxon rank sum test with continuity correction 
## 
## data:  Pred2LMB$Refuge_Time_Spent and Pred2LMB$Food_Density 
## 
##     0.2  0.3  0.5 
## 0.3 1.00 -    -   
## 0.5 0.23 0.07 -   
## 1   1.00 1.00 0.05
## 
## P value adjustment method: holm
pairwise.wilcox.test(Pred3LMB$Refuge_Time_Spent,Pred3LMB$Food_Density)
## 
##  Pairwise comparisons using Wilcoxon rank sum exact test 
## 
## data:  Pred3LMB$Refuge_Time_Spent and Pred3LMB$Food_Density 
## 
##   0.6  
## 1 0.007
## 
## P value adjustment method: holm
pairwise.wilcox.test(Pred2SMB$Refuge_Time_Spent,Pred2SMB$Food_Density)
## Warning in wilcox.test.default(xi, xj, paired = paired, ...): cannot compute
## exact p-value with ties
## Warning in wilcox.test.default(xi, xj, paired = paired, ...): cannot compute
## exact p-value with ties
## Warning in wilcox.test.default(xi, xj, paired = paired, ...): cannot compute
## exact p-value with ties
## Warning in wilcox.test.default(xi, xj, paired = paired, ...): cannot compute
## exact p-value with ties
## Warning in wilcox.test.default(xi, xj, paired = paired, ...): cannot compute
## exact p-value with ties
## 
##  Pairwise comparisons using Wilcoxon rank sum test with continuity correction 
## 
## data:  Pred2SMB$Refuge_Time_Spent and Pred2SMB$Food_Density 
## 
##     0.2  0.3  0.5 
## 0.3 1.00 -    -   
## 0.5 0.09 0.13 -   
## 1   0.36 0.36 1.00
## 
## P value adjustment method: holm
pairwise.wilcox.test(Pred3SMB$Refuge_Time_Spent,Pred3SMB$Food_Density)
## 
##  Pairwise comparisons using Wilcoxon rank sum exact test 
## 
## data:  Pred3SMB$Refuge_Time_Spent and Pred3SMB$Food_Density 
## 
##   0.6
## 1 0.1
## 
## P value adjustment method: holm
LMB_Sim$Food_Density<-as.factor(LMB_Sim$Food_Density)

library(RcmdrMisc)
## Loading required package: sandwich
plotMeans(LMB_Sim$Refuge_Time_Spent,LMB_Sim$Food_Density,LMB_Sim$Predators,error.bars = "sd",xlab = "Food density (#nymphes/cm2)", ylab = "Proportion of time spent in preferred habitat",desparse(substitute(LMB_Sim$Predators)),legend.lab = deparse(substitute(Predators)),legend.pos = "farright",main = "M.salmonid Habitat Use",pch = c(15,16),lty = 1,col = c("blue","purple"),connect = TRUE)

SMB_Sim$Food_Density<-as.factor(SMB_Sim$Food_Density)

library(RcmdrMisc)

plotMeans(SMB_Sim$Refuge_Time_Spent,SMB_Sim$Food_Density,SMB_Sim$Predators,error.bars = "sd",xlab = "Food density (#nymphes/cm2)", ylab = "Proportion of time spent in preferred habitat",desparse(substitute(SMB_Sim$Predators)),legend.lab = deparse(substitute(Predators)),legend.pos = "farright",main = "M.dolomiue Habitat Use",pch = c(15,16),lty = 1,col = c("blue","purple"),connect = TRUE)