tested hypotheses

Test to see whether field observations of stemflow concentrations are greater that forest throughfall concentrations (or vice-versa). Samples are paired across 3 locations and 18 different sampling dates. Therefore 54 observations for each of 32 chemicals. However, many samples are non-detected.

Non-parametric Wilcoxon Rank Sum test implemented. Permutation tests also possible. Test requiring distribution assumptions (e.g., t-test) not practical due to non-detects and data skewness.

This page is published at: http://rpubs.com/puruckertom/glinski_stemflow

things to do

general configuration

Install and load supporting libraries.

##  nodename 
## "stp-air"
## [1] "R version 3.3.1 (2016-06-21)"
## Warning: package 'knitr' was built under R version 3.3.2
## Warning: package 'ggplot2' was built under R version 3.3.2
## [1] "list of loaded packages: "
##  [1] "ggplot2"   "knitr"     "dplyr"     "rmarkdown" "stats"    
##  [6] "graphics"  "grDevices" "utils"     "datasets"  "methods"  
## [11] "base"

import experimental exposure and dehydration data

Load csv file with experimental dehydration data. The below may return false but still be OK if rstudio does not have privileges to data directory (e.g., attached drive).

## [1] "Root directory location: /Users/puruckertom/git/glinski_stemflow/"
## [1] "check to see if R can access files OK: TRUE"

tifton data structure

Check out structure of imported data sets.

summary(tifton)
##  Type           Site                Date                Compound   
##  SF:1728   Min.   : 1.000   1/17/2016 : 512   2-Phenylphenol: 228  
##  TF:1728   1st Qu.: 3.000   10/8/2015 : 512   Acetochlor    : 228  
##  TP:3840   Median : 4.000   11/8/2015 : 512   Alachlor      : 228  
##            Mean   : 5.105   12/17/2015: 512   Anthraquione  : 228  
##            3rd Qu.: 7.000   5/22/2015 : 512   Atrazine      : 228  
##            Max.   :10.000   6/23/2015 : 512   Benfluralin   : 228  
##                             (Other)   :4224   (Other)       :5928  
##       Conc           Volume      
##  Min.   :0.010   Min.   : 0.132  
##  1st Qu.:0.170   1st Qu.: 2.000  
##  Median :0.250   Median : 5.000  
##  Mean   :0.421   Mean   : 9.266  
##  3rd Qu.:0.380   3rd Qu.:16.000  
##  Max.   :9.540   Max.   :25.000  
##  NA's   :6504    NA's   :4416
colnames(tifton)
## [1] "Type"     "Site"     "Date"     "Compound" "Conc"     "Volume"
chems <- unique(tifton$Compound)
chems
##  [1] Metolachlor                  Tebuconazole                
##  [3] 2-Phenylphenol               Flutolanil                  
##  [5] Biphenyl                     Atrazine                    
##  [7] Metalaxyl                    Acetochlor                  
##  [9] Alachlor                     Anthraquione                
## [11] Endosulfan Lactone           DEA                         
## [13] Endosulfan ether             Cyprodinil                  
## [15] Triadimefon                  Chlorothalonil              
## [17] Diphenylamine                Fipronil                    
## [19] Myclobutanil                 Oxyfluorfen                 
## [21] Bifenthrin                   Fludioxonil                 
## [23] Endosulfan sulfate           Ethalfluralin               
## [25] Pendimethalin                Benfluralin                 
## [27] Diazinon                     Malathion                   
## [29] Oxadiazon                    Piperonyl butoxide          
## [31] Propyzamide                  THPI (Tetrahydrophthalimide)
## 32 Levels: 2-Phenylphenol Acetochlor Alachlor Anthraquione ... Triadimefon
media <- unique(tifton$Type)
media
## [1] TP SF TF
## Levels: SF TF TP
#coerce concentrations to numeric because NAs
tifton$Conc <- as.numeric(tifton$Conc)
min(tifton$Conc,na.rm=TRUE)
## [1] 0.01
max(tifton$Conc,na.rm=TRUE)
## [1] 9.54

wilcox stat testing

Run Wilcoxon rank sum test on throughfall versus stemflow for each individual chemical that has detected values. There are three different commands in R that calculate the Wilcoxon signed-rank test; wilcox.test, wilcox.exact, and wilcoxsign_test. They will each yield a different p-value.

The nonparametric Wilcoxon signed-rank test seems to be the most appropriate test for these data. There are two different methods to calculate the signed-rank test. The first is by Wilcoxon (1945), who discards any tied data and then calculates the signed ranks. The second method incorporates tied values in the ranking procedure (see J.W. Pratt, 1959, Remarks on zeros and ties in the Wilcoxon signed rank procedure: Journal of the American Statistical Association, Vol. 54, No. 287, pp. 655-667). There are two commands in R that calculate the original method by Wilcoxon, wilcox.test and wilcoxsign_test (make sure to include the argument “zero.method = c(”Wilcoxon“)”). There are two other commands in R that incorporate ties in the signed-rank test, wilcox.exact and wilcoxsign_test (make sure to include the argument“zero.method = c(”Pratt“)”).

  1. wilcox.test() in the stats package This function automatically switches to using a Normal approximation when there are ties in the data:

wilcox.test(x, y, paired=TRUE)$p.value

(You can suppress the warning (due to ties) by specifying the argument ‘exact=FALSE’.)

This function also uses a continuity correction unless told not to:

wilcox.test(x, y, paired=TRUE, correct=FALSE)$p.value

  1. wilcox.exact() in pkg exactRankTests This function can handle ties (using the “Wilcoxon” method) with an ‘exact’ calculation:

wilcox.exact(x, y, paired=TRUE)$p.value

If we want the Normal approximation:

wilcox.exact(x, y, paired=TRUE, exact=FALSE)$p.value

  1. wilcoxsign_test() in pkg coin This is the most comprehensive of these functions. It is also the only one that offers the “Pratt” method of handling ties. It will default to this method and a Normal approximation:

pvalue(wilcoxsign_test(x ~ y))

pvalue(wilcoxsign_test(x ~ y, zero.method=“Pratt”, distribution=“asympt”))

You can get the results from wilcox.exact() with

pvalue(wilcoxsign_test(x ~ y, zero.method=“Wilcoxon”, distribution=“asympt”))

and

pvalue(wilcoxsign_test(x ~ y, zero.method=“Wilcoxon”, dist=“exact”))

For the moment we are using wilcox.test with ties (paired = TRUE, alternative = ‘greater’, exact = FALSE) but the test is not being run unless there are at least 4 detected values for a chemical.

chemical level analyses

for(chem in chems){
  print('=======================================================')
  print(chem)
  chem_data <- tifton[which(tifton$Compound==chem),]
  chem_sf <- chem_data[which(chem_data$Type=='SF'),]
  chem_tf <- chem_data[which(chem_data$Type=='TF'),]
  #merge on site, date, compound
  chem_merge <- merge(chem_sf,chem_tf,by=c("Compound","Site","Date"))
  #conc.x is sf; conc.y is tf
  #we want to test if stemflow is greater than throughfall (x > y)
  x_nas <- sum(is.na(chem_merge$Conc.x))
  y_nas <- sum(is.na(chem_merge$Conc.y))
  x_n <- length(is.na(chem_merge$Conc.x))
  y_n <- length(is.na(chem_merge$Conc.y))
  x_dets <- x_n - x_nas
  y_dets <- y_n - y_nas
  if(x_dets>0){
    if(x_nas==0){
      x_min <- min(chem_merge$Conc.x,na.rm=TRUE)
    }else{
      x_min=0
    }
    x_max <- max(chem_merge$Conc.x,na.rm=TRUE)
  }else{
    x_min <- 0
    x_max <- 0
  }
  if(y_dets>0){
    if(y_nas==0){
      y_min <- min(chem_merge$Conc.y,na.rm=TRUE)
    }else{
      y_min=0
    }
    y_max <- max(chem_merge$Conc.y,na.rm=TRUE)
  }else{
    y_min <- 0
    y_max <- 0
  }
  #colnames(chem_merge)
  print(paste(chem,'stemflow detection frequency = ',x_dets,'/',x_n))
  print(paste(chem,'stemflow concentration range =(',x_min,',',x_max,')'))
  print(paste(chem,'throughfall detection frequency = ',y_dets,'/',y_n))
  print(paste(chem,'throughfall concentration range =(',y_min,',',y_max,')'))
  
  #change NAs to zeroes for conparisons and the Wilcox test
  chem_merge$Conc.x[is.na(chem_merge$Conc.x)] <- 0
  chem_merge$Conc.y[is.na(chem_merge$Conc.y)] <- 0
  n_comparisons <- length(chem_merge$Conc.x)
  n_tf_greater <- sum(chem_merge$Conc.y > chem_merge$Conc.x)
  n_ties <- sum(chem_merge$Conc.y == chem_merge$Conc.x)
  n_sf_greater <- sum(chem_merge$Conc.x > chem_merge$Conc.y)
  comparisons <- paste('(throughfall_greater, ties, stemflow_greater) = ('
              ,n_tf_greater,',',n_ties,',',n_sf_greater,')')
  print(comparisons)
  
  if((x_dets+y_dets)>4){
    print(knitr::kable(chem_merge))
    chem_wilcox <- wilcox.test(chem_merge$Conc.x, chem_merge$Conc.y, 
                               alternative = 'less', paired = TRUE, exact = FALSE)
    max_conc <- max(x_max,y_max)
    max_conc_vector <- seq(0,max_conc,20)
    print(chem_wilcox)
    plot(chem_merge$Conc.x, chem_merge$Conc.y,xlim=c(0,max_conc),ylim=c(0,max_conc),
         xlab='Stemflow Concentration',ylab='Throughfall Concentration',
         main=paste(chem,'(WRS p-value = ',round(chem_wilcox$p.value,4),')'),
         sub = comparisons)
    abline(0,1,col='red')
  }else{
    print(paste(chem,'does not have enough detected values for wilcox test'))
  }
}
## [1] "======================================================="
## [1] "Metolachlor"
## [1] "Metolachlor stemflow detection frequency =  45 / 54"
## [1] "Metolachlor stemflow concentration range =( 0 , 2.63 )"
## [1] "Metolachlor throughfall detection frequency =  40 / 54"
## [1] "Metolachlor throughfall concentration range =( 0 , 2.98 )"
## [1] "(throughfall_greater, ties, stemflow_greater) = ( 17 , 5 , 32 )"
## 
## 
## Compound       Site  Date         Type.x       Conc.x   Volume.x  Type.y       Conc.y   Volume.y
## ------------  -----  -----------  -------  ----------  ---------  -------  ----------  ---------
## Metolachlor       3  1/17/2016    SF        0.2700000     25.000  TF        0.0000000     10.000
## Metolachlor       3  10/8/2015    SF        0.2500000     20.000  TF        0.0800000      3.750
## Metolachlor       3  11/8/2015    SF        0.0000000         NA  TF        0.0000000      2.000
## Metolachlor       3  12/17/2015   SF        0.0000000     25.000  TF        0.0000000     12.000
## Metolachlor       3  3/18/2015    SF        0.2272727      0.132  TF        0.7559055      0.635
## Metolachlor       3  4/16/2015    SF        0.0000000      0.670  TF        0.0000000      3.000
## Metolachlor       3  5/1/2015     SF        0.0000000     16.000  TF        0.3200000      1.000
## Metolachlor       3  5/22/2015    SF        0.0000000         NA  TF        0.0000000         NA
## Metolachlor       3  6/10/2015    SF        0.6300000     15.000  TF        1.4000000      4.000
## Metolachlor       3  6/23/2015    SF        0.6900000         NA  TF        1.6700000         NA
## Metolachlor       3  7/10/2015    SF        0.7400000      8.500  TF        0.6300000      3.000
## Metolachlor       3  7/17/2015    SF        0.1400000         NA  TF        0.9500000         NA
## Metolachlor       3  7/2/2015     SF        0.0000000         NA  TF        1.1300000      1.000
## Metolachlor       3  7/30/2015    SF        0.4600000     20.000  TF        0.4700000      4.000
## Metolachlor       3  8/13/2015    SF        0.3400000     13.000  TF        0.4700000      4.000
## Metolachlor       3  8/27/2015    SF        0.2800000     17.000  TF        0.2900000      4.000
## Metolachlor       3  9/17/2015    SF        0.0000000      2.500  TF        0.6400000      3.000
## Metolachlor       3  9/3/2015     SF        0.7272727      0.220  TF        0.0289855      0.690
## Metolachlor       4  1/17/2016    SF        0.1600000     25.000  TF        0.0000000     10.000
## Metolachlor       4  10/8/2015    SF        0.3700000     25.000  TF        0.0000000      4.000
## Metolachlor       4  11/8/2015    SF        0.2400000     15.000  TF        0.0000000      2.000
## Metolachlor       4  12/17/2015   SF        0.3500000     25.000  TF        0.0000000     12.000
## Metolachlor       4  3/18/2015    SF        0.4100000      1.000  TF        0.9090909      0.440
## Metolachlor       4  4/16/2015    SF        0.3600000     13.000  TF        0.7100000      2.000
## Metolachlor       4  5/1/2015     SF        0.8000000      5.000  TF        0.2700000      4.500
## Metolachlor       4  5/22/2015    SF        1.3200000     25.000  TF        0.5300000      6.000
## Metolachlor       4  6/10/2015    SF        0.9500000     25.000  TF        0.5400000      4.000
## Metolachlor       4  6/23/2015    SF        1.7500000         NA  TF        0.1000000         NA
## Metolachlor       4  7/10/2015    SF        0.4300000     25.000  TF        0.0000000      4.000
## Metolachlor       4  7/17/2015    SF        0.6600000         NA  TF        0.0100000         NA
## Metolachlor       4  7/2/2015     SF        0.5481481      0.675  TF        0.0300000      4.000
## Metolachlor       4  7/30/2015    SF        0.5700000     25.000  TF        0.2700000      6.000
## Metolachlor       4  8/13/2015    SF        0.4200000     20.000  TF        0.2500000      6.000
## Metolachlor       4  8/27/2015    SF        0.2900000     25.000  TF        0.1400000      4.750
## Metolachlor       4  9/17/2015    SF        0.6400000     25.000  TF        0.5500000      3.000
## Metolachlor       4  9/3/2015     SF        0.3703704      0.540  TF        0.0363636      0.550
## Metolachlor       7  1/17/2016    SF        0.2600000     25.000  TF        0.0000000      7.000
## Metolachlor       7  10/8/2015    SF        0.4100000     17.000  TF        0.0000000      5.000
## Metolachlor       7  11/8/2015    SF        0.4100000      5.000  TF        0.1200000      1.000
## Metolachlor       7  12/17/2015   SF        0.3300000     25.000  TF        0.0000000      9.000
## Metolachlor       7  3/18/2015    SF        0.0000000      0.230  TF        0.1600000      0.550
## Metolachlor       7  4/16/2015    SF        0.4500000     12.500  TF        0.3400000      2.000
## Metolachlor       7  5/1/2015     SF        1.1600000     20.000  TF        1.0900000      5.000
## Metolachlor       7  5/22/2015    SF        0.0000000         NA  TF        0.0000000         NA
## Metolachlor       7  6/10/2015    SF        0.3600000     20.000  TF        2.9800000      5.000
## Metolachlor       7  6/23/2015    SF        2.2000000         NA  TF        2.7800000         NA
## Metolachlor       7  7/10/2015    SF        0.0800000      7.000  TF        0.5800000      2.000
## Metolachlor       7  7/17/2015    SF        0.5300000         NA  TF        0.9800000         NA
## Metolachlor       7  7/2/2015     SF        1.5200000      3.000  TF        1.4100000      1.500
## Metolachlor       7  7/30/2015    SF        0.9300000     20.000  TF        0.3800000      3.500
## Metolachlor       7  8/13/2015    SF        0.8000000     15.000  TF        0.2900000      4.000
## Metolachlor       7  8/27/2015    SF        0.8500000     25.000  TF        0.3600000      4.000
## Metolachlor       7  9/17/2015    SF        2.6300000     14.000  TF        0.1300000      2.000
## Metolachlor       7  9/3/2015     SF        0.4018547      0.647  TF        0.2068966      0.435
## 
##  Wilcoxon signed rank test with continuity correction
## 
## data:  chem_merge$Conc.x and chem_merge$Conc.y
## V = 730, p-value = 0.8798
## alternative hypothesis: true location shift is less than 0

## [1] "======================================================="
## [1] "Tebuconazole"
## [1] "Tebuconazole stemflow detection frequency =  15 / 54"
## [1] "Tebuconazole stemflow concentration range =( 0 , 1.64 )"
## [1] "Tebuconazole throughfall detection frequency =  43 / 54"
## [1] "Tebuconazole throughfall concentration range =( 0 , 1.8 )"
## [1] "(throughfall_greater, ties, stemflow_greater) = ( 35 , 10 , 9 )"
## 
## 
## Compound        Site  Date         Type.x       Conc.x   Volume.x  Type.y       Conc.y   Volume.y
## -------------  -----  -----------  -------  ----------  ---------  -------  ----------  ---------
## Tebuconazole       3  1/17/2016    SF        0.0000000     25.000  TF        0.1800000     10.000
## Tebuconazole       3  10/8/2015    SF        0.0000000     20.000  TF        0.2200000      3.750
## Tebuconazole       3  11/8/2015    SF        0.0000000         NA  TF        0.0000000      2.000
## Tebuconazole       3  12/17/2015   SF        0.0000000     25.000  TF        0.0000000     12.000
## Tebuconazole       3  3/18/2015    SF        0.0000000      0.132  TF        0.0000000      0.635
## Tebuconazole       3  4/16/2015    SF        0.0000000      0.670  TF        0.0000000      3.000
## Tebuconazole       3  5/1/2015     SF        0.0000000     16.000  TF        0.1900000      1.000
## Tebuconazole       3  5/22/2015    SF        0.0000000         NA  TF        0.0000000         NA
## Tebuconazole       3  6/10/2015    SF        0.0000000     15.000  TF        0.1800000      4.000
## Tebuconazole       3  6/23/2015    SF        0.0000000         NA  TF        0.1800000         NA
## Tebuconazole       3  7/10/2015    SF        0.0000000      8.500  TF        0.2900000      3.000
## Tebuconazole       3  7/17/2015    SF        0.0000000         NA  TF        0.5900000         NA
## Tebuconazole       3  7/2/2015     SF        0.0000000         NA  TF        0.4900000      1.000
## Tebuconazole       3  7/30/2015    SF        0.0000000     20.000  TF        0.2100000      4.000
## Tebuconazole       3  8/13/2015    SF        0.0000000     13.000  TF        0.3000000      4.000
## Tebuconazole       3  8/27/2015    SF        1.6400000     17.000  TF        0.6500000      4.000
## Tebuconazole       3  9/17/2015    SF        0.0000000      2.500  TF        0.4200000      3.000
## Tebuconazole       3  9/3/2015     SF        0.0000000      0.220  TF        0.3333333      0.690
## Tebuconazole       4  1/17/2016    SF        0.0000000     25.000  TF        0.1800000     10.000
## Tebuconazole       4  10/8/2015    SF        0.3300000     25.000  TF        0.3400000      4.000
## Tebuconazole       4  11/8/2015    SF        0.0000000     15.000  TF        0.3500000      2.000
## Tebuconazole       4  12/17/2015   SF        0.2900000     25.000  TF        0.2400000     12.000
## Tebuconazole       4  3/18/2015    SF        0.0000000      1.000  TF        0.0000000      0.440
## Tebuconazole       4  4/16/2015    SF        0.0000000     13.000  TF        0.0000000      2.000
## Tebuconazole       4  5/1/2015     SF        0.0000000      5.000  TF        0.2800000      4.500
## Tebuconazole       4  5/22/2015    SF        0.2700000     25.000  TF        0.2200000      6.000
## Tebuconazole       4  6/10/2015    SF        0.0000000     25.000  TF        0.2000000      4.000
## Tebuconazole       4  6/23/2015    SF        0.2400000         NA  TF        0.2100000         NA
## Tebuconazole       4  7/10/2015    SF        0.0000000     25.000  TF        0.1900000      4.000
## Tebuconazole       4  7/17/2015    SF        0.0000000         NA  TF        0.3500000         NA
## Tebuconazole       4  7/2/2015     SF        0.0000000      0.675  TF        0.2300000      4.000
## Tebuconazole       4  7/30/2015    SF        0.2500000     25.000  TF        0.2700000      6.000
## Tebuconazole       4  8/13/2015    SF        0.0000000     20.000  TF        0.2600000      6.000
## Tebuconazole       4  8/27/2015    SF        0.6500000     25.000  TF        1.8000000      4.750
## Tebuconazole       4  9/17/2015    SF        0.3300000     25.000  TF        0.7900000      3.000
## Tebuconazole       4  9/3/2015     SF        0.5370370      0.540  TF        0.7454545      0.550
## Tebuconazole       7  1/17/2016    SF        0.2200000     25.000  TF        0.0000000      7.000
## Tebuconazole       7  10/8/2015    SF        0.4700000     17.000  TF        0.2100000      5.000
## Tebuconazole       7  11/8/2015    SF        0.0000000      5.000  TF        0.2600000      1.000
## Tebuconazole       7  12/17/2015   SF        0.0000000     25.000  TF        0.0000000      9.000
## Tebuconazole       7  3/18/2015    SF        0.0000000      0.230  TF        0.0000000      0.550
## Tebuconazole       7  4/16/2015    SF        0.0000000     12.500  TF        0.1600000      2.000
## Tebuconazole       7  5/1/2015     SF        0.0000000     20.000  TF        0.2100000      5.000
## Tebuconazole       7  5/22/2015    SF        0.0000000         NA  TF        0.0000000         NA
## Tebuconazole       7  6/10/2015    SF        0.0000000     20.000  TF        0.2600000      5.000
## Tebuconazole       7  6/23/2015    SF        0.0000000         NA  TF        0.1900000         NA
## Tebuconazole       7  7/10/2015    SF        0.3600000      7.000  TF        0.2400000      2.000
## Tebuconazole       7  7/17/2015    SF        0.0000000         NA  TF        0.2800000         NA
## Tebuconazole       7  7/2/2015     SF        0.0000000      3.000  TF        0.3700000      1.500
## Tebuconazole       7  7/30/2015    SF        0.0000000     20.000  TF        0.2100000      3.500
## Tebuconazole       7  8/13/2015    SF        0.2400000     15.000  TF        0.3200000      4.000
## Tebuconazole       7  8/27/2015    SF        1.2800000     25.000  TF        0.6500000      4.000
## Tebuconazole       7  9/17/2015    SF        0.0000000     14.000  TF        0.2600000      2.000
## Tebuconazole       7  9/3/2015     SF        0.6800618      0.647  TF        0.6206897      0.435
## 
##  Wilcoxon signed rank test with continuity correction
## 
## data:  chem_merge$Conc.x and chem_merge$Conc.y
## V = 160.5, p-value = 4.825e-05
## alternative hypothesis: true location shift is less than 0

## [1] "======================================================="
## [1] "2-Phenylphenol"
## [1] "2-Phenylphenol stemflow detection frequency =  15 / 54"
## [1] "2-Phenylphenol stemflow concentration range =( 0 , 0.68 )"
## [1] "2-Phenylphenol throughfall detection frequency =  23 / 54"
## [1] "2-Phenylphenol throughfall concentration range =( 0 , 0.545454545 )"
## [1] "(throughfall_greater, ties, stemflow_greater) = ( 21 , 23 , 10 )"
## 
## 
## Compound          Site  Date         Type.x       Conc.x   Volume.x  Type.y       Conc.y   Volume.y
## ---------------  -----  -----------  -------  ----------  ---------  -------  ----------  ---------
## 2-Phenylphenol       3  1/17/2016    SF        0.0000000     25.000  TF        0.0000000     10.000
## 2-Phenylphenol       3  10/8/2015    SF        0.0000000     20.000  TF        0.1900000      3.750
## 2-Phenylphenol       3  11/8/2015    SF        0.0000000         NA  TF        0.3000000      2.000
## 2-Phenylphenol       3  12/17/2015   SF        0.1700000     25.000  TF        0.2100000     12.000
## 2-Phenylphenol       3  3/18/2015    SF        0.0000000      0.132  TF        0.3622047      0.635
## 2-Phenylphenol       3  4/16/2015    SF        0.1194030      0.670  TF        0.2200000      3.000
## 2-Phenylphenol       3  5/1/2015     SF        0.0000000     16.000  TF        0.2000000      1.000
## 2-Phenylphenol       3  5/22/2015    SF        0.0000000         NA  TF        0.0000000         NA
## 2-Phenylphenol       3  6/10/2015    SF        0.0000000     15.000  TF        0.0000000      4.000
## 2-Phenylphenol       3  6/23/2015    SF        0.0000000         NA  TF        0.0000000         NA
## 2-Phenylphenol       3  7/10/2015    SF        0.0400000      8.500  TF        0.0000000      3.000
## 2-Phenylphenol       3  7/17/2015    SF        0.0000000         NA  TF        0.2800000         NA
## 2-Phenylphenol       3  7/2/2015     SF        0.0000000         NA  TF        0.2000000      1.000
## 2-Phenylphenol       3  7/30/2015    SF        0.3700000     20.000  TF        0.2000000      4.000
## 2-Phenylphenol       3  8/13/2015    SF        0.0000000     13.000  TF        0.0000000      4.000
## 2-Phenylphenol       3  8/27/2015    SF        0.0500000     17.000  TF        0.0000000      4.000
## 2-Phenylphenol       3  9/17/2015    SF        0.6800000      2.500  TF        0.4700000      3.000
## 2-Phenylphenol       3  9/3/2015     SF        0.1818182      0.220  TF        0.2898551      0.690
## 2-Phenylphenol       4  1/17/2016    SF        0.0000000     25.000  TF        0.0000000     10.000
## 2-Phenylphenol       4  10/8/2015    SF        0.0000000     25.000  TF        0.1900000      4.000
## 2-Phenylphenol       4  11/8/2015    SF        0.0000000     15.000  TF        0.2100000      2.000
## 2-Phenylphenol       4  12/17/2015   SF        0.0000000     25.000  TF        0.0600000     12.000
## 2-Phenylphenol       4  3/18/2015    SF        0.0000000      1.000  TF        0.5454545      0.440
## 2-Phenylphenol       4  4/16/2015    SF        0.0000000     13.000  TF        0.0000000      2.000
## 2-Phenylphenol       4  5/1/2015     SF        0.0000000      5.000  TF        0.2000000      4.500
## 2-Phenylphenol       4  5/22/2015    SF        0.0000000     25.000  TF        0.0000000      6.000
## 2-Phenylphenol       4  6/10/2015    SF        0.0000000     25.000  TF        0.1900000      4.000
## 2-Phenylphenol       4  6/23/2015    SF        0.0000000         NA  TF        0.0000000         NA
## 2-Phenylphenol       4  7/10/2015    SF        0.0000000     25.000  TF        0.0000000      4.000
## 2-Phenylphenol       4  7/17/2015    SF        0.0000000         NA  TF        0.1900000         NA
## 2-Phenylphenol       4  7/2/2015     SF        0.0740741      0.675  TF        0.0000000      4.000
## 2-Phenylphenol       4  7/30/2015    SF        0.0000000     25.000  TF        0.0000000      6.000
## 2-Phenylphenol       4  8/13/2015    SF        0.0000000     20.000  TF        0.0000000      6.000
## 2-Phenylphenol       4  8/27/2015    SF        0.0000000     25.000  TF        0.0000000      4.750
## 2-Phenylphenol       4  9/17/2015    SF        0.0100000     25.000  TF        0.1900000      3.000
## 2-Phenylphenol       4  9/3/2015     SF        0.0370370      0.540  TF        0.0000000      0.550
## 2-Phenylphenol       7  1/17/2016    SF        0.0000000     25.000  TF        0.0000000      7.000
## 2-Phenylphenol       7  10/8/2015    SF        0.0000000     17.000  TF        0.0000000      5.000
## 2-Phenylphenol       7  11/8/2015    SF        0.3700000      5.000  TF        0.0000000      1.000
## 2-Phenylphenol       7  12/17/2015   SF        0.0400000     25.000  TF        0.0000000      9.000
## 2-Phenylphenol       7  3/18/2015    SF        0.0000000      0.230  TF        0.2300000      0.550
## 2-Phenylphenol       7  4/16/2015    SF        0.0000000     12.500  TF        0.0000000      2.000
## 2-Phenylphenol       7  5/1/2015     SF        0.0000000     20.000  TF        0.0000000      5.000
## 2-Phenylphenol       7  5/22/2015    SF        0.0000000         NA  TF        0.0000000         NA
## 2-Phenylphenol       7  6/10/2015    SF        0.0800000     20.000  TF        0.0000000      5.000
## 2-Phenylphenol       7  6/23/2015    SF        0.0000000         NA  TF        0.0000000         NA
## 2-Phenylphenol       7  7/10/2015    SF        0.0000000      7.000  TF        0.0000000      2.000
## 2-Phenylphenol       7  7/17/2015    SF        0.0400000         NA  TF        0.0000000         NA
## 2-Phenylphenol       7  7/2/2015     SF        0.0000000      3.000  TF        0.0000000      1.500
## 2-Phenylphenol       7  7/30/2015    SF        0.0000000     20.000  TF        0.1900000      3.500
## 2-Phenylphenol       7  8/13/2015    SF        0.0000000     15.000  TF        0.0000000      4.000
## 2-Phenylphenol       7  8/27/2015    SF        0.0000000     25.000  TF        0.0000000      4.000
## 2-Phenylphenol       7  9/17/2015    SF        0.0000000     14.000  TF        0.2300000      2.000
## 2-Phenylphenol       7  9/3/2015     SF        0.0154560      0.647  TF        0.4827586      0.435
## 
##  Wilcoxon signed rank test with continuity correction
## 
## data:  chem_merge$Conc.x and chem_merge$Conc.y
## V = 100, p-value = 0.001911
## alternative hypothesis: true location shift is less than 0

## [1] "======================================================="
## [1] "Flutolanil"
## [1] "Flutolanil stemflow detection frequency =  15 / 54"
## [1] "Flutolanil stemflow concentration range =( 0 , 0.38 )"
## [1] "Flutolanil throughfall detection frequency =  28 / 54"
## [1] "Flutolanil throughfall concentration range =( 0 , 0.63 )"
## [1] "(throughfall_greater, ties, stemflow_greater) = ( 23 , 26 , 5 )"
## 
## 
## Compound      Site  Date         Type.x       Conc.x   Volume.x  Type.y       Conc.y   Volume.y
## -----------  -----  -----------  -------  ----------  ---------  -------  ----------  ---------
## Flutolanil       3  1/17/2016    SF        0.0000000     25.000  TF        0.0000000     10.000
## Flutolanil       3  10/8/2015    SF        0.0000000     20.000  TF        0.1300000      3.750
## Flutolanil       3  11/8/2015    SF        0.0000000         NA  TF        0.0000000      2.000
## Flutolanil       3  12/17/2015   SF        0.0000000     25.000  TF        0.0000000     12.000
## Flutolanil       3  3/18/2015    SF        0.0000000      0.132  TF        0.0000000      0.635
## Flutolanil       3  4/16/2015    SF        0.0000000      0.670  TF        0.0000000      3.000
## Flutolanil       3  5/1/2015     SF        0.0000000     16.000  TF        0.0000000      1.000
## Flutolanil       3  5/22/2015    SF        0.0000000         NA  TF        0.0000000         NA
## Flutolanil       3  6/10/2015    SF        0.0000000     15.000  TF        0.0000000      4.000
## Flutolanil       3  6/23/2015    SF        0.0000000         NA  TF        0.0000000         NA
## Flutolanil       3  7/10/2015    SF        0.1500000      8.500  TF        0.6300000      3.000
## Flutolanil       3  7/17/2015    SF        0.2100000         NA  TF        0.3500000         NA
## Flutolanil       3  7/2/2015     SF        0.0000000         NA  TF        0.2000000      1.000
## Flutolanil       3  7/30/2015    SF        0.0000000     20.000  TF        0.1900000      4.000
## Flutolanil       3  8/13/2015    SF        0.0000000     13.000  TF        0.0000000      4.000
## Flutolanil       3  8/27/2015    SF        0.3800000     17.000  TF        0.2100000      4.000
## Flutolanil       3  9/17/2015    SF        0.0000000      2.500  TF        0.3300000      3.000
## Flutolanil       3  9/3/2015     SF        0.0000000      0.220  TF        0.0000000      0.690
## Flutolanil       4  1/17/2016    SF        0.0000000     25.000  TF        0.0000000     10.000
## Flutolanil       4  10/8/2015    SF        0.1800000     25.000  TF        0.1400000      4.000
## Flutolanil       4  11/8/2015    SF        0.0000000     15.000  TF        0.0800000      2.000
## Flutolanil       4  12/17/2015   SF        0.2200000     25.000  TF        0.0000000     12.000
## Flutolanil       4  3/18/2015    SF        0.0000000      1.000  TF        0.0000000      0.440
## Flutolanil       4  4/16/2015    SF        0.0000000     13.000  TF        0.0000000      2.000
## Flutolanil       4  5/1/2015     SF        0.0000000      5.000  TF        0.0000000      4.500
## Flutolanil       4  5/22/2015    SF        0.0000000     25.000  TF        0.0000000      6.000
## Flutolanil       4  6/10/2015    SF        0.0000000     25.000  TF        0.0000000      4.000
## Flutolanil       4  6/23/2015    SF        0.0000000         NA  TF        0.0000000         NA
## Flutolanil       4  7/10/2015    SF        0.0000000     25.000  TF        0.1100000      4.000
## Flutolanil       4  7/17/2015    SF        0.2300000         NA  TF        0.2400000         NA
## Flutolanil       4  7/2/2015     SF        0.0000000      0.675  TF        0.0000000      4.000
## Flutolanil       4  7/30/2015    SF        0.2100000     25.000  TF        0.0800000      6.000
## Flutolanil       4  8/13/2015    SF        0.0000000     20.000  TF        0.2100000      6.000
## Flutolanil       4  8/27/2015    SF        0.1300000     25.000  TF        0.1900000      4.750
## Flutolanil       4  9/17/2015    SF        0.3000000     25.000  TF        0.3500000      3.000
## Flutolanil       4  9/3/2015     SF        0.0000000      0.540  TF        0.1818182      0.550
## Flutolanil       7  1/17/2016    SF        0.0000000     25.000  TF        0.0700000      7.000
## Flutolanil       7  10/8/2015    SF        0.0900000     17.000  TF        0.1000000      5.000
## Flutolanil       7  11/8/2015    SF        0.0000000      5.000  TF        0.1700000      1.000
## Flutolanil       7  12/17/2015   SF        0.0000000     25.000  TF        0.0000000      9.000
## Flutolanil       7  3/18/2015    SF        0.0000000      0.230  TF        0.0000000      0.550
## Flutolanil       7  4/16/2015    SF        0.0000000     12.500  TF        0.0000000      2.000
## Flutolanil       7  5/1/2015     SF        0.0000000     20.000  TF        0.0000000      5.000
## Flutolanil       7  5/22/2015    SF        0.0000000         NA  TF        0.0000000         NA
## Flutolanil       7  6/10/2015    SF        0.0900000     20.000  TF        0.0900000      5.000
## Flutolanil       7  6/23/2015    SF        0.0000000         NA  TF        0.0000000         NA
## Flutolanil       7  7/10/2015    SF        0.1200000      7.000  TF        0.1300000      2.000
## Flutolanil       7  7/17/2015    SF        0.0000000         NA  TF        0.3000000         NA
## Flutolanil       7  7/2/2015     SF        0.2400000      3.000  TF        0.1500000      1.500
## Flutolanil       7  7/30/2015    SF        0.0000000     20.000  TF        0.1800000      3.500
## Flutolanil       7  8/13/2015    SF        0.1400000     15.000  TF        0.3100000      4.000
## Flutolanil       7  8/27/2015    SF        0.0000000     25.000  TF        0.3300000      4.000
## Flutolanil       7  9/17/2015    SF        0.0000000     14.000  TF        0.2500000      2.000
## Flutolanil       7  9/3/2015     SF        0.0927357      0.647  TF        0.2758621      0.435
## 
##  Wilcoxon signed rank test with continuity correction
## 
## data:  chem_merge$Conc.x and chem_merge$Conc.y
## V = 63, p-value = 0.000744
## alternative hypothesis: true location shift is less than 0

## [1] "======================================================="
## [1] "Biphenyl"
## [1] "Biphenyl stemflow detection frequency =  13 / 54"
## [1] "Biphenyl stemflow concentration range =( 0 , 1.34 )"
## [1] "Biphenyl throughfall detection frequency =  44 / 54"
## [1] "Biphenyl throughfall concentration range =( 0 , 0.07 )"
## [1] "(throughfall_greater, ties, stemflow_greater) = ( 35 , 10 , 9 )"
## 
## 
## Compound    Site  Date         Type.x    Conc.x   Volume.x  Type.y       Conc.y   Volume.y
## ---------  -----  -----------  -------  -------  ---------  -------  ----------  ---------
## Biphenyl       3  1/17/2016    SF          0.00     25.000  TF        0.0000000     10.000
## Biphenyl       3  10/8/2015    SF          0.00     20.000  TF        0.0300000      3.750
## Biphenyl       3  11/8/2015    SF          0.00         NA  TF        0.0700000      2.000
## Biphenyl       3  12/17/2015   SF          1.16     25.000  TF        0.0300000     12.000
## Biphenyl       3  3/18/2015    SF          0.00      0.132  TF        0.0472441      0.635
## Biphenyl       3  4/16/2015    SF          0.00      0.670  TF        0.0600000      3.000
## Biphenyl       3  5/1/2015     SF          0.00     16.000  TF        0.0300000      1.000
## Biphenyl       3  5/22/2015    SF          0.00         NA  TF        0.0000000         NA
## Biphenyl       3  6/10/2015    SF          0.10     15.000  TF        0.0300000      4.000
## Biphenyl       3  6/23/2015    SF          0.00         NA  TF        0.0300000         NA
## Biphenyl       3  7/10/2015    SF          0.01      8.500  TF        0.0200000      3.000
## Biphenyl       3  7/17/2015    SF          0.00         NA  TF        0.0200000         NA
## Biphenyl       3  7/2/2015     SF          0.00         NA  TF        0.0200000      1.000
## Biphenyl       3  7/30/2015    SF          0.68     20.000  TF        0.0200000      4.000
## Biphenyl       3  8/13/2015    SF          0.01     13.000  TF        0.0200000      4.000
## Biphenyl       3  8/27/2015    SF          0.00     17.000  TF        0.0300000      4.000
## Biphenyl       3  9/17/2015    SF          0.49      2.500  TF        0.0300000      3.000
## Biphenyl       3  9/3/2015     SF          0.00      0.220  TF        0.0000000      0.690
## Biphenyl       4  1/17/2016    SF          0.00     25.000  TF        0.0000000     10.000
## Biphenyl       4  10/8/2015    SF          0.00     25.000  TF        0.0200000      4.000
## Biphenyl       4  11/8/2015    SF          1.12     15.000  TF        0.0500000      2.000
## Biphenyl       4  12/17/2015   SF          0.00     25.000  TF        0.0200000     12.000
## Biphenyl       4  3/18/2015    SF          0.00      1.000  TF        0.0681818      0.440
## Biphenyl       4  4/16/2015    SF          0.25     13.000  TF        0.0400000      2.000
## Biphenyl       4  5/1/2015     SF          0.00      5.000  TF        0.0300000      4.500
## Biphenyl       4  5/22/2015    SF          0.00     25.000  TF        0.0300000      6.000
## Biphenyl       4  6/10/2015    SF          0.00     25.000  TF        0.0200000      4.000
## Biphenyl       4  6/23/2015    SF          0.00         NA  TF        0.0200000         NA
## Biphenyl       4  7/10/2015    SF          0.00     25.000  TF        0.0000000      4.000
## Biphenyl       4  7/17/2015    SF          0.00         NA  TF        0.0000000         NA
## Biphenyl       4  7/2/2015     SF          0.00      0.675  TF        0.0200000      4.000
## Biphenyl       4  7/30/2015    SF          0.00     25.000  TF        0.0200000      6.000
## Biphenyl       4  8/13/2015    SF          0.00     20.000  TF        0.0200000      6.000
## Biphenyl       4  8/27/2015    SF          0.02     25.000  TF        0.0200000      4.750
## Biphenyl       4  9/17/2015    SF          0.02     25.000  TF        0.0300000      3.000
## Biphenyl       4  9/3/2015     SF          0.00      0.540  TF        0.0500000      0.550
## Biphenyl       7  1/17/2016    SF          0.00     25.000  TF        0.0200000      7.000
## Biphenyl       7  10/8/2015    SF          0.00     17.000  TF        0.0200000      5.000
## Biphenyl       7  11/8/2015    SF          1.34      5.000  TF        0.0000000      1.000
## Biphenyl       7  12/17/2015   SF          0.28     25.000  TF        0.0300000      9.000
## Biphenyl       7  3/18/2015    SF          0.00      0.230  TF        0.0300000      0.550
## Biphenyl       7  4/16/2015    SF          0.00     12.500  TF        0.0300000      2.000
## Biphenyl       7  5/1/2015     SF          0.00     20.000  TF        0.0200000      5.000
## Biphenyl       7  5/22/2015    SF          0.00         NA  TF        0.0000000         NA
## Biphenyl       7  6/10/2015    SF          0.00     20.000  TF        0.0000000      5.000
## Biphenyl       7  6/23/2015    SF          0.00         NA  TF        0.0200000         NA
## Biphenyl       7  7/10/2015    SF          0.00      7.000  TF        0.0200000      2.000
## Biphenyl       7  7/17/2015    SF          1.04         NA  TF        0.0300000         NA
## Biphenyl       7  7/2/2015     SF          0.00      3.000  TF        0.0300000      1.500
## Biphenyl       7  7/30/2015    SF          0.00     20.000  TF        0.0000000      3.500
## Biphenyl       7  8/13/2015    SF          0.00     15.000  TF        0.0200000      4.000
## Biphenyl       7  8/27/2015    SF          0.00     25.000  TF        0.0200000      4.000
## Biphenyl       7  9/17/2015    SF          0.00     14.000  TF        0.0300000      2.000
## Biphenyl       7  9/3/2015     SF          0.00      0.647  TF        0.0459770      0.435
## 
##  Wilcoxon signed rank test with continuity correction
## 
## data:  chem_merge$Conc.x and chem_merge$Conc.y
## V = 359.5, p-value = 0.05626
## alternative hypothesis: true location shift is less than 0

## [1] "======================================================="
## [1] "Atrazine"
## [1] "Atrazine stemflow detection frequency =  10 / 54"
## [1] "Atrazine stemflow concentration range =( 0 , 3.65 )"
## [1] "Atrazine throughfall detection frequency =  17 / 54"
## [1] "Atrazine throughfall concentration range =( 0 , 7.09 )"
## [1] "(throughfall_greater, ties, stemflow_greater) = ( 12 , 35 , 7 )"
## 
## 
## Compound    Site  Date         Type.x    Conc.x   Volume.x  Type.y    Conc.y   Volume.y
## ---------  -----  -----------  -------  -------  ---------  -------  -------  ---------
## Atrazine       3  1/17/2016    SF          0.00     25.000  TF          0.00     10.000
## Atrazine       3  10/8/2015    SF          0.00     20.000  TF          0.00      3.750
## Atrazine       3  11/8/2015    SF          0.00         NA  TF          0.00      2.000
## Atrazine       3  12/17/2015   SF          0.00     25.000  TF          0.00     12.000
## Atrazine       3  3/18/2015    SF          0.00      0.132  TF          0.00      0.635
## Atrazine       3  4/16/2015    SF          0.00      0.670  TF          0.00      3.000
## Atrazine       3  5/1/2015     SF          2.70     16.000  TF          7.09      1.000
## Atrazine       3  5/22/2015    SF          0.00         NA  TF          0.00         NA
## Atrazine       3  6/10/2015    SF          2.69     15.000  TF          2.11      4.000
## Atrazine       3  6/23/2015    SF          1.01         NA  TF          0.70         NA
## Atrazine       3  7/10/2015    SF          0.87      8.500  TF          0.00      3.000
## Atrazine       3  7/17/2015    SF          0.70         NA  TF          0.24         NA
## Atrazine       3  7/2/2015     SF          0.00         NA  TF          0.25      1.000
## Atrazine       3  7/30/2015    SF          0.00     20.000  TF          0.00      4.000
## Atrazine       3  8/13/2015    SF          0.42     13.000  TF          0.00      4.000
## Atrazine       3  8/27/2015    SF          0.00     17.000  TF          0.19      4.000
## Atrazine       3  9/17/2015    SF          0.00      2.500  TF          0.00      3.000
## Atrazine       3  9/3/2015     SF          0.00      0.220  TF          0.00      0.690
## Atrazine       4  1/17/2016    SF          0.00     25.000  TF          0.00     10.000
## Atrazine       4  10/8/2015    SF          0.00     25.000  TF          0.00      4.000
## Atrazine       4  11/8/2015    SF          0.00     15.000  TF          0.00      2.000
## Atrazine       4  12/17/2015   SF          0.00     25.000  TF          0.00     12.000
## Atrazine       4  3/18/2015    SF          0.00      1.000  TF          0.00      0.440
## Atrazine       4  4/16/2015    SF          0.00     13.000  TF          0.00      2.000
## Atrazine       4  5/1/2015     SF          2.44      5.000  TF          2.74      4.500
## Atrazine       4  5/22/2015    SF          3.65     25.000  TF          1.17      6.000
## Atrazine       4  6/10/2015    SF          0.66     25.000  TF          0.52      4.000
## Atrazine       4  6/23/2015    SF          0.00         NA  TF          0.17         NA
## Atrazine       4  7/10/2015    SF          0.00     25.000  TF          0.00      4.000
## Atrazine       4  7/17/2015    SF          0.00         NA  TF          0.00         NA
## Atrazine       4  7/2/2015     SF          0.00      0.675  TF          0.16      4.000
## Atrazine       4  7/30/2015    SF          0.00     25.000  TF          0.00      6.000
## Atrazine       4  8/13/2015    SF          0.00     20.000  TF          0.00      6.000
## Atrazine       4  8/27/2015    SF          0.00     25.000  TF          0.00      4.750
## Atrazine       4  9/17/2015    SF          0.00     25.000  TF          0.00      3.000
## Atrazine       4  9/3/2015     SF          0.00      0.540  TF          0.00      0.550
## Atrazine       7  1/17/2016    SF          0.00     25.000  TF          0.00      7.000
## Atrazine       7  10/8/2015    SF          0.00     17.000  TF          0.00      5.000
## Atrazine       7  11/8/2015    SF          0.00      5.000  TF          0.00      1.000
## Atrazine       7  12/17/2015   SF          0.00     25.000  TF          0.00      9.000
## Atrazine       7  3/18/2015    SF          0.00      0.230  TF          0.00      0.550
## Atrazine       7  4/16/2015    SF          0.00     12.500  TF          0.72      2.000
## Atrazine       7  5/1/2015     SF          0.68     20.000  TF          1.55      5.000
## Atrazine       7  5/22/2015    SF          0.00         NA  TF          0.00         NA
## Atrazine       7  6/10/2015    SF          0.00     20.000  TF          0.37      5.000
## Atrazine       7  6/23/2015    SF          0.00         NA  TF          0.30         NA
## Atrazine       7  7/10/2015    SF          0.00      7.000  TF          0.00      2.000
## Atrazine       7  7/17/2015    SF          0.00         NA  TF          0.23         NA
## Atrazine       7  7/2/2015     SF          0.00      3.000  TF          0.00      1.500
## Atrazine       7  7/30/2015    SF          0.00     20.000  TF          0.00      3.500
## Atrazine       7  8/13/2015    SF          0.00     15.000  TF          0.00      4.000
## Atrazine       7  8/27/2015    SF          0.00     25.000  TF          0.52      4.000
## Atrazine       7  9/17/2015    SF          0.00     14.000  TF          0.00      2.000
## Atrazine       7  9/3/2015     SF          0.00      0.647  TF          0.00      0.435
## 
##  Wilcoxon signed rank test with continuity correction
## 
## data:  chem_merge$Conc.x and chem_merge$Conc.y
## V = 81.5, p-value = 0.3004
## alternative hypothesis: true location shift is less than 0

## [1] "======================================================="
## [1] "Metalaxyl"
## [1] "Metalaxyl stemflow detection frequency =  0 / 54"
## [1] "Metalaxyl stemflow concentration range =( 0 , 0 )"
## [1] "Metalaxyl throughfall detection frequency =  1 / 54"
## [1] "Metalaxyl throughfall concentration range =( 0 , 0.42 )"
## [1] "(throughfall_greater, ties, stemflow_greater) = ( 1 , 53 , 0 )"
## [1] "Metalaxyl does not have enough detected values for wilcox test"
## [1] "======================================================="
## [1] "Acetochlor"
## [1] "Acetochlor stemflow detection frequency =  5 / 54"
## [1] "Acetochlor stemflow concentration range =( 0 , 0.95 )"
## [1] "Acetochlor throughfall detection frequency =  18 / 54"
## [1] "Acetochlor throughfall concentration range =( 0 , 3.05 )"
## [1] "(throughfall_greater, ties, stemflow_greater) = ( 16 , 36 , 2 )"
## 
## 
## Compound      Site  Date         Type.x    Conc.x   Volume.x  Type.y    Conc.y   Volume.y
## -----------  -----  -----------  -------  -------  ---------  -------  -------  ---------
## Acetochlor       3  1/17/2016    SF          0.00     25.000  TF          0.00     10.000
## Acetochlor       3  10/8/2015    SF          0.00     20.000  TF          0.00      3.750
## Acetochlor       3  11/8/2015    SF          0.00         NA  TF          0.00      2.000
## Acetochlor       3  12/17/2015   SF          0.00     25.000  TF          0.00     12.000
## Acetochlor       3  3/18/2015    SF          0.00      0.132  TF          0.00      0.635
## Acetochlor       3  4/16/2015    SF          0.00      0.670  TF          0.00      3.000
## Acetochlor       3  5/1/2015     SF          0.00     16.000  TF          0.00      1.000
## Acetochlor       3  5/22/2015    SF          0.00         NA  TF          0.00         NA
## Acetochlor       3  6/10/2015    SF          0.00     15.000  TF          0.83      4.000
## Acetochlor       3  6/23/2015    SF          0.00         NA  TF          1.34         NA
## Acetochlor       3  7/10/2015    SF          0.00      8.500  TF          0.00      3.000
## Acetochlor       3  7/17/2015    SF          0.00         NA  TF          0.31         NA
## Acetochlor       3  7/2/2015     SF          0.00         NA  TF          0.71      1.000
## Acetochlor       3  7/30/2015    SF          0.00     20.000  TF          0.38      4.000
## Acetochlor       3  8/13/2015    SF          0.00     13.000  TF          0.00      4.000
## Acetochlor       3  8/27/2015    SF          0.00     17.000  TF          0.00      4.000
## Acetochlor       3  9/17/2015    SF          0.00      2.500  TF          0.00      3.000
## Acetochlor       3  9/3/2015     SF          0.00      0.220  TF          0.00      0.690
## Acetochlor       4  1/17/2016    SF          0.00     25.000  TF          0.00     10.000
## Acetochlor       4  10/8/2015    SF          0.00     25.000  TF          0.00      4.000
## Acetochlor       4  11/8/2015    SF          0.00     15.000  TF          0.00      2.000
## Acetochlor       4  12/17/2015   SF          0.00     25.000  TF          0.00     12.000
## Acetochlor       4  3/18/2015    SF          0.00      1.000  TF          0.00      0.440
## Acetochlor       4  4/16/2015    SF          0.00     13.000  TF          0.00      2.000
## Acetochlor       4  5/1/2015     SF          0.00      5.000  TF          0.00      4.500
## Acetochlor       4  5/22/2015    SF          0.00     25.000  TF          0.00      6.000
## Acetochlor       4  6/10/2015    SF          0.33     25.000  TF          0.60      4.000
## Acetochlor       4  6/23/2015    SF          0.74         NA  TF          0.69         NA
## Acetochlor       4  7/10/2015    SF          0.00     25.000  TF          0.17      4.000
## Acetochlor       4  7/17/2015    SF          0.95         NA  TF          0.43         NA
## Acetochlor       4  7/2/2015     SF          0.00      0.675  TF          0.22      4.000
## Acetochlor       4  7/30/2015    SF          0.00     25.000  TF          0.25      6.000
## Acetochlor       4  8/13/2015    SF          0.00     20.000  TF          0.00      6.000
## Acetochlor       4  8/27/2015    SF          0.00     25.000  TF          0.00      4.750
## Acetochlor       4  9/17/2015    SF          0.00     25.000  TF          0.00      3.000
## Acetochlor       4  9/3/2015     SF          0.00      0.540  TF          0.00      0.550
## Acetochlor       7  1/17/2016    SF          0.00     25.000  TF          0.00      7.000
## Acetochlor       7  10/8/2015    SF          0.00     17.000  TF          0.00      5.000
## Acetochlor       7  11/8/2015    SF          0.00      5.000  TF          0.00      1.000
## Acetochlor       7  12/17/2015   SF          0.00     25.000  TF          0.00      9.000
## Acetochlor       7  3/18/2015    SF          0.00      0.230  TF          0.00      0.550
## Acetochlor       7  4/16/2015    SF          0.00     12.500  TF          0.00      2.000
## Acetochlor       7  5/1/2015     SF          0.00     20.000  TF          0.00      5.000
## Acetochlor       7  5/22/2015    SF          0.00         NA  TF          0.00         NA
## Acetochlor       7  6/10/2015    SF          0.00     20.000  TF          0.71      5.000
## Acetochlor       7  6/23/2015    SF          0.19         NA  TF          0.73         NA
## Acetochlor       7  7/10/2015    SF          0.30      7.000  TF          0.78      2.000
## Acetochlor       7  7/17/2015    SF          0.00         NA  TF          0.75         NA
## Acetochlor       7  7/2/2015     SF          0.00      3.000  TF          3.05      1.500
## Acetochlor       7  7/30/2015    SF          0.00     20.000  TF          0.67      3.500
## Acetochlor       7  8/13/2015    SF          0.00     15.000  TF          0.43      4.000
## Acetochlor       7  8/27/2015    SF          0.00     25.000  TF          0.00      4.000
## Acetochlor       7  9/17/2015    SF          0.00     14.000  TF          0.00      2.000
## Acetochlor       7  9/3/2015     SF          0.00      0.647  TF          0.00      0.435
## 
##  Wilcoxon signed rank test with continuity correction
## 
## data:  chem_merge$Conc.x and chem_merge$Conc.y
## V = 11, p-value = 0.000634
## alternative hypothesis: true location shift is less than 0

## [1] "======================================================="
## [1] "Alachlor"
## [1] "Alachlor stemflow detection frequency =  0 / 54"
## [1] "Alachlor stemflow concentration range =( 0 , 0 )"
## [1] "Alachlor throughfall detection frequency =  0 / 54"
## [1] "Alachlor throughfall concentration range =( 0 , 0 )"
## [1] "(throughfall_greater, ties, stemflow_greater) = ( 0 , 54 , 0 )"
## [1] "Alachlor does not have enough detected values for wilcox test"
## [1] "======================================================="
## [1] "Anthraquione"
## [1] "Anthraquione stemflow detection frequency =  4 / 54"
## [1] "Anthraquione stemflow concentration range =( 0 , 2.878787879 )"
## [1] "Anthraquione throughfall detection frequency =  5 / 54"
## [1] "Anthraquione throughfall concentration range =( 0 , 0.26 )"
## [1] "(throughfall_greater, ties, stemflow_greater) = ( 4 , 46 , 4 )"
## 
## 
## Compound        Site  Date         Type.x      Conc.x   Volume.x  Type.y    Conc.y   Volume.y
## -------------  -----  -----------  -------  ---------  ---------  -------  -------  ---------
## Anthraquione       3  1/17/2016    SF        0.000000     25.000  TF          0.00     10.000
## Anthraquione       3  10/8/2015    SF        0.000000     20.000  TF          0.00      3.750
## Anthraquione       3  11/8/2015    SF        0.000000         NA  TF          0.00      2.000
## Anthraquione       3  12/17/2015   SF        0.000000     25.000  TF          0.00     12.000
## Anthraquione       3  3/18/2015    SF        2.878788      0.132  TF          0.00      0.635
## Anthraquione       3  4/16/2015    SF        0.000000      0.670  TF          0.26      3.000
## Anthraquione       3  5/1/2015     SF        0.000000     16.000  TF          0.00      1.000
## Anthraquione       3  5/22/2015    SF        0.000000         NA  TF          0.00         NA
## Anthraquione       3  6/10/2015    SF        0.000000     15.000  TF          0.00      4.000
## Anthraquione       3  6/23/2015    SF        0.000000         NA  TF          0.00         NA
## Anthraquione       3  7/10/2015    SF        0.000000      8.500  TF          0.00      3.000
## Anthraquione       3  7/17/2015    SF        0.000000         NA  TF          0.00         NA
## Anthraquione       3  7/2/2015     SF        0.000000         NA  TF          0.00      1.000
## Anthraquione       3  7/30/2015    SF        0.000000     20.000  TF          0.00      4.000
## Anthraquione       3  8/13/2015    SF        0.000000     13.000  TF          0.00      4.000
## Anthraquione       3  8/27/2015    SF        0.000000     17.000  TF          0.00      4.000
## Anthraquione       3  9/17/2015    SF        0.000000      2.500  TF          0.00      3.000
## Anthraquione       3  9/3/2015     SF        0.000000      0.220  TF          0.00      0.690
## Anthraquione       4  1/17/2016    SF        0.000000     25.000  TF          0.00     10.000
## Anthraquione       4  10/8/2015    SF        0.000000     25.000  TF          0.00      4.000
## Anthraquione       4  11/8/2015    SF        0.000000     15.000  TF          0.00      2.000
## Anthraquione       4  12/17/2015   SF        0.000000     25.000  TF          0.00     12.000
## Anthraquione       4  3/18/2015    SF        0.420000      1.000  TF          0.00      0.440
## Anthraquione       4  4/16/2015    SF        0.490000     13.000  TF          0.21      2.000
## Anthraquione       4  5/1/2015     SF        0.000000      5.000  TF          0.00      4.500
## Anthraquione       4  5/22/2015    SF        0.000000     25.000  TF          0.00      6.000
## Anthraquione       4  6/10/2015    SF        0.000000     25.000  TF          0.00      4.000
## Anthraquione       4  6/23/2015    SF        0.000000         NA  TF          0.00         NA
## Anthraquione       4  7/10/2015    SF        0.000000     25.000  TF          0.21      4.000
## Anthraquione       4  7/17/2015    SF        0.000000         NA  TF          0.00         NA
## Anthraquione       4  7/2/2015     SF        0.000000      0.675  TF          0.00      4.000
## Anthraquione       4  7/30/2015    SF        0.000000     25.000  TF          0.00      6.000
## Anthraquione       4  8/13/2015    SF        0.000000     20.000  TF          0.00      6.000
## Anthraquione       4  8/27/2015    SF        0.000000     25.000  TF          0.00      4.750
## Anthraquione       4  9/17/2015    SF        0.000000     25.000  TF          0.00      3.000
## Anthraquione       4  9/3/2015     SF        0.000000      0.540  TF          0.00      0.550
## Anthraquione       7  1/17/2016    SF        0.000000     25.000  TF          0.00      7.000
## Anthraquione       7  10/8/2015    SF        0.000000     17.000  TF          0.00      5.000
## Anthraquione       7  11/8/2015    SF        0.000000      5.000  TF          0.00      1.000
## Anthraquione       7  12/17/2015   SF        0.000000     25.000  TF          0.00      9.000
## Anthraquione       7  3/18/2015    SF        1.434783      0.230  TF          0.00      0.550
## Anthraquione       7  4/16/2015    SF        0.000000     12.500  TF          0.22      2.000
## Anthraquione       7  5/1/2015     SF        0.000000     20.000  TF          0.00      5.000
## Anthraquione       7  5/22/2015    SF        0.000000         NA  TF          0.00         NA
## Anthraquione       7  6/10/2015    SF        0.000000     20.000  TF          0.00      5.000
## Anthraquione       7  6/23/2015    SF        0.000000         NA  TF          0.00         NA
## Anthraquione       7  7/10/2015    SF        0.000000      7.000  TF          0.00      2.000
## Anthraquione       7  7/17/2015    SF        0.000000         NA  TF          0.21         NA
## Anthraquione       7  7/2/2015     SF        0.000000      3.000  TF          0.00      1.500
## Anthraquione       7  7/30/2015    SF        0.000000     20.000  TF          0.00      3.500
## Anthraquione       7  8/13/2015    SF        0.000000     15.000  TF          0.00      4.000
## Anthraquione       7  8/27/2015    SF        0.000000     25.000  TF          0.00      4.000
## Anthraquione       7  9/17/2015    SF        0.000000     14.000  TF          0.00      2.000
## Anthraquione       7  9/3/2015     SF        0.000000      0.647  TF          0.00      0.435
## 
##  Wilcoxon signed rank test with continuity correction
## 
## data:  chem_merge$Conc.x and chem_merge$Conc.y
## V = 26, p-value = 0.8833
## alternative hypothesis: true location shift is less than 0

## [1] "======================================================="
## [1] "Endosulfan Lactone"
## [1] "Endosulfan Lactone stemflow detection frequency =  0 / 54"
## [1] "Endosulfan Lactone stemflow concentration range =( 0 , 0 )"
## [1] "Endosulfan Lactone throughfall detection frequency =  1 / 54"
## [1] "Endosulfan Lactone throughfall concentration range =( 0 , 0.07 )"
## [1] "(throughfall_greater, ties, stemflow_greater) = ( 1 , 53 , 0 )"
## [1] "Endosulfan Lactone does not have enough detected values for wilcox test"
## [1] "======================================================="
## [1] "DEA"
## [1] "DEA stemflow detection frequency =  11 / 54"
## [1] "DEA stemflow concentration range =( 0 , 9.54 )"
## [1] "DEA throughfall detection frequency =  3 / 54"
## [1] "DEA throughfall concentration range =( 0 , 1.55 )"
## [1] "(throughfall_greater, ties, stemflow_greater) = ( 2 , 43 , 9 )"
## 
## 
## Compound    Site  Date         Type.x    Conc.x   Volume.x  Type.y    Conc.y   Volume.y
## ---------  -----  -----------  -------  -------  ---------  -------  -------  ---------
## DEA            3  1/17/2016    SF          0.00     25.000  TF          0.00     10.000
## DEA            3  10/8/2015    SF          0.00     20.000  TF          0.00      3.750
## DEA            3  11/8/2015    SF          0.00         NA  TF          0.00      2.000
## DEA            3  12/17/2015   SF          0.00     25.000  TF          0.00     12.000
## DEA            3  3/18/2015    SF          0.00      0.132  TF          0.00      0.635
## DEA            3  4/16/2015    SF          0.00      0.670  TF          0.00      3.000
## DEA            3  5/1/2015     SF          0.40     16.000  TF          1.55      1.000
## DEA            3  5/22/2015    SF          0.00         NA  TF          0.00         NA
## DEA            3  6/10/2015    SF          0.50     15.000  TF          0.83      4.000
## DEA            3  6/23/2015    SF          0.71         NA  TF          0.00         NA
## DEA            3  7/10/2015    SF          0.47      8.500  TF          0.00      3.000
## DEA            3  7/17/2015    SF          0.33         NA  TF          0.00         NA
## DEA            3  7/2/2015     SF          0.00         NA  TF          0.00      1.000
## DEA            3  7/30/2015    SF          0.08     20.000  TF          0.00      4.000
## DEA            3  8/13/2015    SF          0.08     13.000  TF          0.00      4.000
## DEA            3  8/27/2015    SF          0.02     17.000  TF          0.00      4.000
## DEA            3  9/17/2015    SF          0.00      2.500  TF          0.00      3.000
## DEA            3  9/3/2015     SF          0.00      0.220  TF          0.00      0.690
## DEA            4  1/17/2016    SF          0.00     25.000  TF          0.00     10.000
## DEA            4  10/8/2015    SF          0.00     25.000  TF          0.00      4.000
## DEA            4  11/8/2015    SF          0.00     15.000  TF          0.00      2.000
## DEA            4  12/17/2015   SF          0.00     25.000  TF          0.00     12.000
## DEA            4  3/18/2015    SF          0.00      1.000  TF          0.00      0.440
## DEA            4  4/16/2015    SF          0.00     13.000  TF          0.00      2.000
## DEA            4  5/1/2015     SF          9.54      5.000  TF          0.73      4.500
## DEA            4  5/22/2015    SF          0.72     25.000  TF          0.00      6.000
## DEA            4  6/10/2015    SF          0.11     25.000  TF          0.00      4.000
## DEA            4  6/23/2015    SF          0.00         NA  TF          0.00         NA
## DEA            4  7/10/2015    SF          0.00     25.000  TF          0.00      4.000
## DEA            4  7/17/2015    SF          0.00         NA  TF          0.00         NA
## DEA            4  7/2/2015     SF          0.00      0.675  TF          0.00      4.000
## DEA            4  7/30/2015    SF          0.00     25.000  TF          0.00      6.000
## DEA            4  8/13/2015    SF          0.00     20.000  TF          0.00      6.000
## DEA            4  8/27/2015    SF          0.00     25.000  TF          0.00      4.750
## DEA            4  9/17/2015    SF          0.00     25.000  TF          0.00      3.000
## DEA            4  9/3/2015     SF          0.00      0.540  TF          0.00      0.550
## DEA            7  1/17/2016    SF          0.00     25.000  TF          0.00      7.000
## DEA            7  10/8/2015    SF          0.00     17.000  TF          0.00      5.000
## DEA            7  11/8/2015    SF          0.00      5.000  TF          0.00      1.000
## DEA            7  12/17/2015   SF          0.00     25.000  TF          0.00      9.000
## DEA            7  3/18/2015    SF          0.00      0.230  TF          0.00      0.550
## DEA            7  4/16/2015    SF          0.00     12.500  TF          0.00      2.000
## DEA            7  5/1/2015     SF          0.00     20.000  TF          0.00      5.000
## DEA            7  5/22/2015    SF          0.00         NA  TF          0.00         NA
## DEA            7  6/10/2015    SF          0.00     20.000  TF          0.00      5.000
## DEA            7  6/23/2015    SF          0.00         NA  TF          0.00         NA
## DEA            7  7/10/2015    SF          0.00      7.000  TF          0.00      2.000
## DEA            7  7/17/2015    SF          0.00         NA  TF          0.00         NA
## DEA            7  7/2/2015     SF          0.00      3.000  TF          0.00      1.500
## DEA            7  7/30/2015    SF          0.00     20.000  TF          0.00      3.500
## DEA            7  8/13/2015    SF          0.00     15.000  TF          0.00      4.000
## DEA            7  8/27/2015    SF          0.00     25.000  TF          0.00      4.000
## DEA            7  9/17/2015    SF          0.00     14.000  TF          0.00      2.000
## DEA            7  9/3/2015     SF          0.00      0.647  TF          0.00      0.435
## 
##  Wilcoxon signed rank test with continuity correction
## 
## data:  chem_merge$Conc.x and chem_merge$Conc.y
## V = 51, p-value = 0.9501
## alternative hypothesis: true location shift is less than 0

## [1] "======================================================="
## [1] "Endosulfan ether"
## [1] "Endosulfan ether stemflow detection frequency =  0 / 54"
## [1] "Endosulfan ether stemflow concentration range =( 0 , 0 )"
## [1] "Endosulfan ether throughfall detection frequency =  0 / 54"
## [1] "Endosulfan ether throughfall concentration range =( 0 , 0 )"
## [1] "(throughfall_greater, ties, stemflow_greater) = ( 0 , 54 , 0 )"
## [1] "Endosulfan ether does not have enough detected values for wilcox test"
## [1] "======================================================="
## [1] "Cyprodinil"
## [1] "Cyprodinil stemflow detection frequency =  0 / 54"
## [1] "Cyprodinil stemflow concentration range =( 0 , 0 )"
## [1] "Cyprodinil throughfall detection frequency =  0 / 54"
## [1] "Cyprodinil throughfall concentration range =( 0 , 0 )"
## [1] "(throughfall_greater, ties, stemflow_greater) = ( 0 , 54 , 0 )"
## [1] "Cyprodinil does not have enough detected values for wilcox test"
## [1] "======================================================="
## [1] "Triadimefon"
## [1] "Triadimefon stemflow detection frequency =  0 / 54"
## [1] "Triadimefon stemflow concentration range =( 0 , 0 )"
## [1] "Triadimefon throughfall detection frequency =  0 / 54"
## [1] "Triadimefon throughfall concentration range =( 0 , 0 )"
## [1] "(throughfall_greater, ties, stemflow_greater) = ( 0 , 54 , 0 )"
## [1] "Triadimefon does not have enough detected values for wilcox test"
## [1] "======================================================="
## [1] "Chlorothalonil"
## [1] "Chlorothalonil stemflow detection frequency =  0 / 54"
## [1] "Chlorothalonil stemflow concentration range =( 0 , 0 )"
## [1] "Chlorothalonil throughfall detection frequency =  0 / 54"
## [1] "Chlorothalonil throughfall concentration range =( 0 , 0 )"
## [1] "(throughfall_greater, ties, stemflow_greater) = ( 0 , 54 , 0 )"
## [1] "Chlorothalonil does not have enough detected values for wilcox test"
## [1] "======================================================="
## [1] "Diphenylamine"
## [1] "Diphenylamine stemflow detection frequency =  3 / 54"
## [1] "Diphenylamine stemflow concentration range =( 0 , 0.21 )"
## [1] "Diphenylamine throughfall detection frequency =  0 / 54"
## [1] "Diphenylamine throughfall concentration range =( 0 , 0 )"
## [1] "(throughfall_greater, ties, stemflow_greater) = ( 0 , 51 , 3 )"
## [1] "Diphenylamine does not have enough detected values for wilcox test"
## [1] "======================================================="
## [1] "Fipronil"
## [1] "Fipronil stemflow detection frequency =  0 / 54"
## [1] "Fipronil stemflow concentration range =( 0 , 0 )"
## [1] "Fipronil throughfall detection frequency =  0 / 54"
## [1] "Fipronil throughfall concentration range =( 0 , 0 )"
## [1] "(throughfall_greater, ties, stemflow_greater) = ( 0 , 54 , 0 )"
## [1] "Fipronil does not have enough detected values for wilcox test"
## [1] "======================================================="
## [1] "Myclobutanil"
## [1] "Myclobutanil stemflow detection frequency =  0 / 54"
## [1] "Myclobutanil stemflow concentration range =( 0 , 0 )"
## [1] "Myclobutanil throughfall detection frequency =  0 / 54"
## [1] "Myclobutanil throughfall concentration range =( 0 , 0 )"
## [1] "(throughfall_greater, ties, stemflow_greater) = ( 0 , 54 , 0 )"
## [1] "Myclobutanil does not have enough detected values for wilcox test"
## [1] "======================================================="
## [1] "Oxyfluorfen"
## [1] "Oxyfluorfen stemflow detection frequency =  0 / 54"
## [1] "Oxyfluorfen stemflow concentration range =( 0 , 0 )"
## [1] "Oxyfluorfen throughfall detection frequency =  0 / 54"
## [1] "Oxyfluorfen throughfall concentration range =( 0 , 0 )"
## [1] "(throughfall_greater, ties, stemflow_greater) = ( 0 , 54 , 0 )"
## [1] "Oxyfluorfen does not have enough detected values for wilcox test"
## [1] "======================================================="
## [1] "Bifenthrin"
## [1] "Bifenthrin stemflow detection frequency =  1 / 54"
## [1] "Bifenthrin stemflow concentration range =( 0 , 0.08 )"
## [1] "Bifenthrin throughfall detection frequency =  0 / 54"
## [1] "Bifenthrin throughfall concentration range =( 0 , 0 )"
## [1] "(throughfall_greater, ties, stemflow_greater) = ( 0 , 53 , 1 )"
## [1] "Bifenthrin does not have enough detected values for wilcox test"
## [1] "======================================================="
## [1] "Fludioxonil"
## [1] "Fludioxonil stemflow detection frequency =  1 / 54"
## [1] "Fludioxonil stemflow concentration range =( 0 , 0.4 )"
## [1] "Fludioxonil throughfall detection frequency =  2 / 54"
## [1] "Fludioxonil throughfall concentration range =( 0 , 0.56 )"
## [1] "(throughfall_greater, ties, stemflow_greater) = ( 2 , 51 , 1 )"
## [1] "Fludioxonil does not have enough detected values for wilcox test"
## [1] "======================================================="
## [1] "Endosulfan sulfate"
## [1] "Endosulfan sulfate stemflow detection frequency =  0 / 54"
## [1] "Endosulfan sulfate stemflow concentration range =( 0 , 0 )"
## [1] "Endosulfan sulfate throughfall detection frequency =  0 / 54"
## [1] "Endosulfan sulfate throughfall concentration range =( 0 , 0 )"
## [1] "(throughfall_greater, ties, stemflow_greater) = ( 0 , 54 , 0 )"
## [1] "Endosulfan sulfate does not have enough detected values for wilcox test"
## [1] "======================================================="
## [1] "Ethalfluralin"
## [1] "Ethalfluralin stemflow detection frequency =  0 / 54"
## [1] "Ethalfluralin stemflow concentration range =( 0 , 0 )"
## [1] "Ethalfluralin throughfall detection frequency =  0 / 54"
## [1] "Ethalfluralin throughfall concentration range =( 0 , 0 )"
## [1] "(throughfall_greater, ties, stemflow_greater) = ( 0 , 54 , 0 )"
## [1] "Ethalfluralin does not have enough detected values for wilcox test"
## [1] "======================================================="
## [1] "Pendimethalin"
## [1] "Pendimethalin stemflow detection frequency =  0 / 54"
## [1] "Pendimethalin stemflow concentration range =( 0 , 0 )"
## [1] "Pendimethalin throughfall detection frequency =  0 / 54"
## [1] "Pendimethalin throughfall concentration range =( 0 , 0 )"
## [1] "(throughfall_greater, ties, stemflow_greater) = ( 0 , 54 , 0 )"
## [1] "Pendimethalin does not have enough detected values for wilcox test"
## [1] "======================================================="
## [1] "Benfluralin"
## [1] "Benfluralin stemflow detection frequency =  0 / 54"
## [1] "Benfluralin stemflow concentration range =( 0 , 0 )"
## [1] "Benfluralin throughfall detection frequency =  0 / 54"
## [1] "Benfluralin throughfall concentration range =( 0 , 0 )"
## [1] "(throughfall_greater, ties, stemflow_greater) = ( 0 , 54 , 0 )"
## [1] "Benfluralin does not have enough detected values for wilcox test"
## [1] "======================================================="
## [1] "Diazinon"
## [1] "Diazinon stemflow detection frequency =  0 / 54"
## [1] "Diazinon stemflow concentration range =( 0 , 0 )"
## [1] "Diazinon throughfall detection frequency =  0 / 54"
## [1] "Diazinon throughfall concentration range =( 0 , 0 )"
## [1] "(throughfall_greater, ties, stemflow_greater) = ( 0 , 54 , 0 )"
## [1] "Diazinon does not have enough detected values for wilcox test"
## [1] "======================================================="
## [1] "Malathion"
## [1] "Malathion stemflow detection frequency =  0 / 54"
## [1] "Malathion stemflow concentration range =( 0 , 0 )"
## [1] "Malathion throughfall detection frequency =  0 / 54"
## [1] "Malathion throughfall concentration range =( 0 , 0 )"
## [1] "(throughfall_greater, ties, stemflow_greater) = ( 0 , 54 , 0 )"
## [1] "Malathion does not have enough detected values for wilcox test"
## [1] "======================================================="
## [1] "Oxadiazon"
## [1] "Oxadiazon stemflow detection frequency =  0 / 54"
## [1] "Oxadiazon stemflow concentration range =( 0 , 0 )"
## [1] "Oxadiazon throughfall detection frequency =  1 / 54"
## [1] "Oxadiazon throughfall concentration range =( 0 , 0.04 )"
## [1] "(throughfall_greater, ties, stemflow_greater) = ( 1 , 53 , 0 )"
## [1] "Oxadiazon does not have enough detected values for wilcox test"
## [1] "======================================================="
## [1] "Piperonyl butoxide"
## [1] "Piperonyl butoxide stemflow detection frequency =  0 / 54"
## [1] "Piperonyl butoxide stemflow concentration range =( 0 , 0 )"
## [1] "Piperonyl butoxide throughfall detection frequency =  0 / 54"
## [1] "Piperonyl butoxide throughfall concentration range =( 0 , 0 )"
## [1] "(throughfall_greater, ties, stemflow_greater) = ( 0 , 54 , 0 )"
## [1] "Piperonyl butoxide does not have enough detected values for wilcox test"
## [1] "======================================================="
## [1] "Propyzamide"
## [1] "Propyzamide stemflow detection frequency =  0 / 54"
## [1] "Propyzamide stemflow concentration range =( 0 , 0 )"
## [1] "Propyzamide throughfall detection frequency =  0 / 54"
## [1] "Propyzamide throughfall concentration range =( 0 , 0 )"
## [1] "(throughfall_greater, ties, stemflow_greater) = ( 0 , 54 , 0 )"
## [1] "Propyzamide does not have enough detected values for wilcox test"
## [1] "======================================================="
## [1] "THPI (Tetrahydrophthalimide)"
## [1] "THPI (Tetrahydrophthalimide) stemflow detection frequency =  0 / 54"
## [1] "THPI (Tetrahydrophthalimide) stemflow concentration range =( 0 , 0 )"
## [1] "THPI (Tetrahydrophthalimide) throughfall detection frequency =  0 / 54"
## [1] "THPI (Tetrahydrophthalimide) throughfall concentration range =( 0 , 0 )"
## [1] "(throughfall_greater, ties, stemflow_greater) = ( 0 , 54 , 0 )"
## [1] "THPI (Tetrahydrophthalimide) does not have enough detected values for wilcox test"

global analyses

Two values with high concentrations are not shown on the all tifton data figure.

print('=======================================================')
## [1] "======================================================="
print('global')
## [1] "global"
tifton_sf <- tifton[which(tifton$Type=='SF'),]
tifton_tf <- tifton[which(tifton$Type=='TF'),]
#merge on site, date, compound
tifton_merge <- merge(tifton_sf,tifton_tf,by=c("Compound","Site","Date"))
#change NAs to zeroes for conparisons and the Wilcox test
tifton_merge$Conc.x[is.na(tifton_merge$Conc.x)] <- 0
tifton_merge$Conc.y[is.na(tifton_merge$Conc.y)] <- 0
n_tf_greater <- sum(tifton_merge$Conc.y > tifton_merge$Conc.x)
n_ties <- sum(tifton_merge$Conc.y == tifton_merge$Conc.x)
n_sf_greater <- sum(tifton_merge$Conc.x > tifton_merge$Conc.y)
comparisons <- paste('(throughfall_greater, ties, stemflow_greater) = ('
            ,n_tf_greater,',',n_ties,',',n_sf_greater,')')
print(comparisons)
## [1] "(throughfall_greater, ties, stemflow_greater) = ( 170 , 1466 , 92 )"
tifton_wilcox <- wilcox.test(tifton_merge$Conc.x, tifton_merge$Conc.y, 
                               alternative = 'less', paired = TRUE, exact = FALSE)
x_max <- max(tifton_merge$Conc.x)
y_max <- max(tifton_merge$Conc.y)
max_conc <- max(x_max,y_max)
max_conc_vector <- seq(0,max_conc,20)
print(tifton_wilcox)
## 
##  Wilcoxon signed rank test with continuity correction
## 
## data:  tifton_merge$Conc.x and tifton_merge$Conc.y
## V = 13665, p-value = 0.001862
## alternative hypothesis: true location shift is less than 0
plot(tifton_merge$Conc.x, tifton_merge$Conc.y, 
    xlim=c(0,4),ylim=c(0,4),
    xlab='Stemflow Concentration',ylab='Throughfall Concentration',
    main=paste('All Tifton Data (WRS p-value = ',round(tifton_wilcox$p.value,4),')'),
    sub = comparisons)
abline(0,1,col='red')

permutation stat testing

For many of the chemicals, some/most observations have identical/not detected values, hence the warning message thrown by R: unique ranks cannot be computed for all observations in the Wilcox test. Since there are ties, this prevents the computation of an exact p-value. With high numbers of tied data, Wilcoxon tests are not trustworthy. Moreover, in most non-parametric tests we assume that the sampled populations are symmetric and have the same dispersion or shape, which is not verifiable here.

A permutation test may be more appropriate in this case, for example permTS (perm), pperm (exactRankTests), or the coin package. Although these approaches do not take advantage of the paired design.

results

Mixed bag at the moment. Overall inference on paired data shows that throughfall concentrations exceed stemflow concentration 170 times versus 92 of the opposite exceedance. This corresponds to a p-value of 0.0019 with the Wilcoxon Rank Sum test.

There will be complaints from reviewers about the unequal volumes of samples for the two media, we need to be clear that the collection time is the same for these paired comparisons.

I guess we can also break out how often the exceedances are a detect versus a non-detect as opposed to a detect versus detect comparison. Can we assume that the actual detection limit is lower for the higher volume stemflow samples? (meaning that the volumes may bias the analyses towards stemflow exceedances and not throughfall).

Stemflow concentrations probably plagued by dilution versus first flush issues. We may want to think about how to use sample volume or observed rainfall totals for these dates to look at this and separate small from large rain events.

Having detection limits will help us characterize the magnitude of the difference between stemflow and throughfall (for example, ratio calculations that are not possible by treating non-detects as zeroes).