1 Set up

knitr::opts_chunk$set(
    echo = F,
    message = FALSE,
    warning = FALSE
)

1.1 1) Load packages

1.2 2) Import data

1.3 3) Data Wrangling

1.4 4) Depth Wrangling

1.5 5) Theme James

1.6 Comments

#Shapiro Wilks test

## 
##  Shapiro-Wilk normality test
## 
## data:  aggr$x20mwd
## W = 0.90548, p-value = 5.065e-11
## 
##  Shapiro-Wilk normality test
## 
## data:  aggr$x5mwd
## W = 0.9076, p-value = 5.995e-08

2 20 min Aggregate Graphs

2.1 0-5 cm 20 minutes

###20 mwd

## [1] "0-5 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                 Sum Sq Mean Sq NumDF DenDF F value    Pr(>F)    
## landuse        10.6851  5.3426     2    27 46.2074 1.919e-09 ***
## precip          0.0037  0.0018     2    27  0.0160    0.9842    
## landuse:precip  0.5627  0.1407     4    27  1.2166    0.3269    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##   landuse precip    lsmean        SE df    lower.CL  upper.CL .group
## 1      NP    472 1.6391185 0.1700156 27  1.29027523 1.9879618     a 
## 2      EA    472 0.7012615 0.1700156 27  0.35241823 1.0501048      b
## 3      AG    472 0.6816877 0.1700156 27  0.33284448 1.0305310      b
## 4      NP    579 1.8859738 0.1700156 27  1.53713048 2.2348170    a  
## 5      EA    579 0.7881320 0.1700156 27  0.43928873 1.1369753     b 
## 6      AG    579 0.2889481 0.1700156 27 -0.05989515 0.6377914      c
## 7      NP    850 1.7101955 0.1700156 27  1.36135223 2.0590388    a  
## 8      EA    850 0.9290419 0.1700156 27  0.58019863 1.2778852     b 
## 9      AG    850 0.3925357 0.1700156 27  0.04369248 0.7413790      c
##   precip landuse    lsmean        SE df    lower.CL  upper.CL .group  location
## 1    472      AG 0.6816877 0.1700156 27  0.33284448 1.0305310      b   Tribune
## 2    472      EA 0.7012615 0.1700156 27  0.35241823 1.0501048      b   Tribune
## 3    472      NP 1.6391185 0.1700156 27  1.29027523 1.9879618     a    Tribune
## 4    579      AG 0.2889481 0.1700156 27 -0.05989515 0.6377914      c      Hays
## 5    579      EA 0.7881320 0.1700156 27  0.43928873 1.1369753     b       Hays
## 6    579      NP 1.8859738 0.1700156 27  1.53713048 2.2348170    a        Hays
## 7    850      AG 0.3925357 0.1700156 27  0.04369248 0.7413790      c Manhattan
## 8    850      EA 0.9290419 0.1700156 27  0.58019863 1.2778852     b  Manhattan
## 9    850      NP 1.7101955 0.1700156 27  1.36135223 2.0590388    a   Manhattan
##   n      mean         sd         se
## 1 4 0.6816878 0.34067898 0.17033949
## 2 4 0.7012615 0.07939717 0.03969858
## 3 4 1.6391185 0.63652059 0.31826030
## 4 4 0.2889481 0.06823212 0.03411606
## 5 4 0.7881320 0.07579000 0.03789500
## 6 4 1.8859738 0.38793154 0.19396577
## 7 4 0.3925358 0.11290835 0.05645417
## 8 4 0.9290419 0.18911734 0.09455867
## 9 4 1.7101955 0.55105588 0.27552794

###8-2 mm

## [1] "0-5 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                  Sum Sq Mean Sq NumDF DenDF F value    Pr(>F)    
## treatment        3614.3 1807.14     2    27 36.3110 2.216e-08 ***
## precip             17.6    8.80     2    27  0.1769    0.8388    
## treatment:precip  210.9   52.71     4    27  1.0592    0.3957    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##   precip  location treatment     lsmean       SE df  lower.CL  upper.CL .group
## 1    472   Tribune        NP 26.3313434 3.527336 27 19.093849 33.568838     a 
## 2    472   Tribune        EA  8.8448459 3.527336 27  1.607351 16.082341      b
## 3    472   Tribune        AG  8.7304187 3.527336 27  1.492924 15.967914      b
## 4    579      Hays        NP 30.8387700 3.527336 27 23.601275 38.076265     a 
## 5    579      Hays        EA  9.3305850 3.527336 27  2.093090 16.568080      b
## 6    579      Hays        AG  0.9315208 3.527336 27 -6.305974  8.169016      b
## 7    850 Manhattan        NP 25.3077401 3.527336 27 18.070245 32.545235     a 
## 8    850 Manhattan        EA 11.4886335 3.527336 27  4.251139 18.726128      b
## 9    850 Manhattan        AG  1.9782694 3.527336 27 -5.259225  9.215764      b
##   location_f
## 1    Tribune
## 2    Tribune
## 3    Tribune
## 4       Hays
## 5       Hays
## 6       Hays
## 7  Manhattan
## 8  Manhattan
## 9  Manhattan

2.1.1 2-0.250 mm

## [1] "0-5 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                   Sum Sq Mean Sq NumDF   DenDF F value    Pr(>F)    
## treatment        1511.80  755.90     2 20.3129 30.6394 7.358e-07 ***
## precip            330.72  165.36     2  8.5003  6.7026   0.01789 *  
## treatment:precip  117.76   29.44     4 20.3129  1.1933   0.34379    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##   precip  location treatment   lsmean       SE      df  lower.CL upper.CL
## 1    472   Tribune        NP 25.60527 2.634026 25.7468 20.188356 31.02218
## 2    472   Tribune        EA 16.27820 2.634026 25.7468 10.861289 21.69511
## 3    472   Tribune        AG 14.44550 2.634026 25.7468  9.028589 19.86241
## 4    579      Hays        NP 28.53917 2.634026 25.7468 23.122260 33.95608
## 5    579      Hays        EA 22.02193 2.634026 25.7468 16.605020 27.43884
## 6    579      Hays        AG 11.97343 2.634026 25.7468  6.556520 17.39034
## 7    850 Manhattan        NP 37.24528 2.634026 25.7468 31.828368 42.66219
## 8    850 Manhattan        EA 24.97329 2.634026 25.7468 19.556377 30.39020
## 9    850 Manhattan        AG 17.62782 2.634026 25.7468 12.210914 23.04474
##   .group location_f
## 1     a     Tribune
## 2      b    Tribune
## 3      b    Tribune
## 4     a        Hays
## 5     a        Hays
## 6      b       Hays
## 7    a    Manhattan
## 8     b   Manhattan
## 9      c  Manhattan

2.1.2 0.250-0.053 mm

## [1] "0-5 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                   Sum Sq Mean Sq NumDF   DenDF  F value    Pr(>F)    
## treatment        11892.9  5946.5     2 20.8198 136.2712 1.096e-12 ***
## precip              45.9    22.9     2  8.7658   0.5255   0.60879    
## treatment:precip   631.3   157.8     4 20.8198   3.6170   0.02169 *  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## precip = 472:
##  treatment lsmean   SE   df lower.CL upper.CL
##  AG          53.1 3.74 22.8    45.34     60.8
##  EA          49.1 3.74 22.8    41.40     56.9
##  NP          22.3 3.74 22.8    14.56     30.0
## 
## precip = 579:
##  treatment lsmean   SE   df lower.CL upper.CL
##  AG          69.8 3.74 22.8    62.06     77.5
##  EA          47.9 3.74 22.8    40.20     55.7
##  NP          14.9 3.74 22.8     7.18     22.6
## 
## precip = 850:
##  treatment lsmean   SE   df lower.CL upper.CL
##  AG          61.2 3.74 22.8    53.43     68.9
##  EA          47.4 3.74 22.8    39.65     55.1
##  NP          16.6 3.74 22.8     8.83     24.3
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
##   precip  location treatment   lsmean       SE       df  lower.CL upper.CL
## 1    472   Tribune        AG 53.07399 3.736594 22.78911 45.340296 60.80768
## 2    472   Tribune        EA 49.13078 3.736594 22.78911 41.397089 56.86447
## 3    472   Tribune        NP 22.29726 3.736594 22.78911 14.563572 30.03096
## 4    579      Hays        AG 69.79728 3.736594 22.78911 62.063591 77.53098
## 5    579      Hays        EA 47.93665 3.736594 22.78911 40.202952 55.67034
## 6    579      Hays        NP 14.90930 3.736594 22.78911  7.175602 22.64299
## 7    850 Manhattan        AG 61.16504 3.736594 22.78911 53.431345 68.89873
## 8    850 Manhattan        EA 47.38140 3.736594 22.78911 39.647708 55.11509
## 9    850 Manhattan        NP 16.56350 3.736594 22.78911  8.829805 24.29719
##   .group location_f
## 1     a     Tribune
## 2     a     Tribune
## 3      b    Tribune
## 4    a         Hays
## 5     b        Hays
## 6      c       Hays
## 7    a    Manhattan
## 8     b   Manhattan
## 9      c  Manhattan

2.1.3 0.053-0.02 mm

## [1] "0-5 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                   Sum Sq Mean Sq NumDF DenDF F value    Pr(>F)    
## treatment        126.572  63.286     2    27 26.3225 4.548e-07 ***
## precip            14.220   7.110     2    27  2.9573   0.06897 .  
## treatment:precip   2.103   0.526     4    27  0.2187   0.92567    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## precip = 472:
##  treatment lsmean    SE df lower.CL upper.CL
##  AG          6.16 0.775 27    4.567     7.75
##  EA          3.99 0.775 27    2.399     5.58
##  NP          1.95 0.775 27    0.359     3.54
## 
## precip = 579:
##  treatment lsmean    SE df lower.CL upper.CL
##  AG          5.28 0.775 27    3.692     6.87
##  EA          3.38 0.775 27    1.784     4.97
##  NP          1.05 0.775 27   -0.543     2.64
## 
## precip = 850:
##  treatment lsmean    SE df lower.CL upper.CL
##  AG          7.25 0.775 27    5.654     8.84
##  EA          5.14 0.775 27    3.554     6.74
##  NP          1.93 0.775 27    0.342     3.52
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
## precip = 472:
##  treatment lsmean    SE df lower.CL upper.CL .group
##  AG          6.16 0.775 27    4.567     7.75  a    
##  EA          3.99 0.775 27    2.399     5.58  ab   
##  NP          1.95 0.775 27    0.359     3.54   b   
## 
## precip = 579:
##  treatment lsmean    SE df lower.CL upper.CL .group
##  AG          5.28 0.775 27    3.692     6.87  a    
##  EA          3.38 0.775 27    1.784     4.97  a    
##  NP          1.05 0.775 27   -0.543     2.64   b   
## 
## precip = 850:
##  treatment lsmean    SE df lower.CL upper.CL .group
##  AG          7.25 0.775 27    5.654     8.84  a    
##  EA          5.14 0.775 27    3.554     6.74  a    
##  NP          1.93 0.775 27    0.342     3.52   b   
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05 
## NOTE: Compact letter displays can be misleading
##       because they show NON-findings rather than findings.
##       Consider using 'pairs()', 'pwpp()', or 'pwpm()' instead.
##   treatment precip lsmean        SE df   lower.CL upper.CL .group
## 3        AG    472 6.1575 0.7752837 27  4.5667492 7.748251     a 
## 2        EA    472 3.9900 0.7752837 27  2.3992492 5.580751     ab
## 1        NP    472 1.9500 0.7752837 27  0.3592492 3.540751      b
## 6        AG    579 5.2825 0.7752837 27  3.6917492 6.873251     a 
## 5        EA    579 3.3750 0.7752837 27  1.7842492 4.965751     a 
## 4        NP    579 1.0475 0.7752837 27 -0.5432508 2.638251      b
## 9        AG    850 7.2450 0.7752837 27  5.6542492 8.835751     a 
## 8        EA    850 5.1450 0.7752837 27  3.5542492 6.735751     a 
## 7        NP    850 1.9325 0.7752837 27  0.3417492 3.523251      b
##   precip  location treatment lsmean        SE df   lower.CL upper.CL .group
## 1    472   Tribune        AG 6.1575 0.7752837 27  4.5667492 7.748251     a 
## 2    472   Tribune        EA 3.9900 0.7752837 27  2.3992492 5.580751     ab
## 3    472   Tribune        NP 1.9500 0.7752837 27  0.3592492 3.540751      b
## 4    579      Hays        AG 5.2825 0.7752837 27  3.6917492 6.873251     a 
## 5    579      Hays        EA 3.3750 0.7752837 27  1.7842492 4.965751     a 
## 6    579      Hays        NP 1.0475 0.7752837 27 -0.5432508 2.638251      b
## 7    850 Manhattan        AG 7.2450 0.7752837 27  5.6542492 8.835751     a 
## 8    850 Manhattan        EA 5.1450 0.7752837 27  3.5542492 6.735751     a 
## 9    850 Manhattan        NP 1.9325 0.7752837 27  0.3417492 3.523251      b
##   location_f
## 1    Tribune
## 2    Tribune
## 3    Tribune
## 4       Hays
## 5       Hays
## 6       Hays
## 7  Manhattan
## 8  Manhattan
## 9  Manhattan

2.2 5-10 cm 20 minutes

###8-2 mm

## [1] "0-5 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                   Sum Sq Mean Sq NumDF DenDF F value    Pr(>F)    
## treatment        2616.00 1308.00     2    27 75.5924 8.643e-12 ***
## precip             12.68    6.34     2    27  0.3665  0.696579    
## treatment:precip  311.07   77.77     4    27  4.4944  0.006514 ** 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##   precip  location treatment    lsmean       SE df    lower.CL  upper.CL .group
## 1    472   Tribune        NP 19.874634 2.079862 27 15.60710952 24.142159     a 
## 2    472   Tribune        AG  7.158672 2.079862 27  2.89114749 11.426197      b
## 3    472   Tribune        EA  2.303734 2.079862 27 -1.96379035  6.571259      b
## 4    579      Hays        NP 27.933098 2.079862 27 23.66557284 32.200622     a 
## 5    579      Hays        EA  4.312530 2.079862 27  0.04500509  8.580054      b
## 6    579      Hays        AG  1.369402 2.079862 27 -2.89812306  5.636926      b
## 7    850 Manhattan        NP 19.539639 2.079862 27 15.27211447 23.807164     a 
## 8    850 Manhattan        EA  8.197339 2.079862 27  3.92981461 12.464864      b
## 9    850 Manhattan        AG  3.003322 2.079862 27 -1.26420295  7.270846      b
##   location_f
## 1    Tribune
## 2    Tribune
## 3    Tribune
## 4       Hays
## 5       Hays
## 6       Hays
## 7  Manhattan
## 8  Manhattan
## 9  Manhattan

2.2.1 2-0.250 mm

## [1] "0-5 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                   Sum Sq Mean Sq NumDF  DenDF F value  Pr(>F)  
## treatment         547.76  273.88     2 24.547  3.0591 0.06513 .
## precip            319.85  159.93     2 22.179  1.7863 0.19085  
## treatment:precip 1341.29  335.32     4 23.861  3.7454 0.01673 *
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##   precip  location treatment   lsmean       SE       df  lower.CL upper.CL
## 1    472   Tribune        NP 33.76226 4.905017 26.37839 23.686887 43.83763
## 2    472   Tribune        AG 31.38025 4.905017 26.37839 21.304875 41.45562
## 3    472   Tribune        EA 15.88541 4.905017 26.37839  5.810033 25.96078
## 4    579      Hays        EA 29.76832 4.905017 26.37839 19.692944 39.84369
## 5    579      Hays        NP 22.88141 4.905017 26.37839 12.806039 32.95679
## 6    579      Hays        AG 12.44605 4.905017 26.37839  2.370679 22.52143
## 7    850 Manhattan        NP 35.21192 4.905017 26.37839 25.136550 45.28730
## 8    850 Manhattan        EA 31.98805 4.905017 26.37839 21.912672 42.06342
## 9    850 Manhattan        AG 19.00936 4.905017 26.37839  8.933983 29.08473
##   .group location_f
## 1     a     Tribune
## 2     a     Tribune
## 3      b    Tribune
## 4     a        Hays
## 5     ab       Hays
## 6      b       Hays
## 7     a   Manhattan
## 8     ab  Manhattan
## 9      b  Manhattan

2.2.2 0.250-0.053 mm

## [1] "0-5 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                  Sum Sq Mean Sq NumDF  DenDF F value    Pr(>F)    
## treatment        5648.5 2824.26     2 24.246 39.1889 2.533e-08 ***
## precip             75.7   37.83     2 16.940  0.5250  0.600891    
## treatment:precip 1338.3  334.58     4 22.291  4.6426  0.007072 ** 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## precip = 472:
##  treatment lsmean   SE df lower.CL upper.CL
##  AG          40.3 4.91 21     30.1     50.5
##  EA          60.5 4.91 21     50.3     70.7
##  NP          24.3 4.91 21     14.1     34.5
## 
## precip = 579:
##  treatment lsmean   SE df lower.CL upper.CL
##  AG          61.0 4.91 21     50.8     71.2
##  EA          47.5 4.91 21     37.3     57.7
##  NP          28.4 4.91 21     18.2     38.6
## 
## precip = 850:
##  treatment lsmean   SE df lower.CL upper.CL
##  AG          60.5 4.91 21     50.3     70.7
##  EA          45.0 4.91 21     34.8     55.2
##  NP          23.6 4.91 21     13.4     33.8
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
##   precip  location treatment   lsmean       SE       df lower.CL upper.CL
## 1    472   Tribune        EA 60.53863 4.905302 20.96793 50.33654 70.74071
## 2    472   Tribune        AG 40.25275 4.905302 20.96793 30.05067 50.45484
## 3    472   Tribune        NP 24.33689 4.905302 20.96793 14.13481 34.53898
## 4    579      Hays        AG 61.04155 4.905302 20.96793 50.83947 71.24364
## 5    579      Hays        EA 47.54742 4.905302 20.96793 37.34533 57.74950
## 6    579      Hays        NP 28.36159 4.905302 20.96793 18.15950 38.56367
## 7    850 Manhattan        AG 60.48042 4.905302 20.96793 50.27834 70.68251
## 8    850 Manhattan        EA 45.04338 4.905302 20.96793 34.84130 55.24547
## 9    850 Manhattan        NP 23.59988 4.905302 20.96793 13.39779 33.80196
##   .group location_f
## 1    a      Tribune
## 2     b     Tribune
## 3      c    Tribune
## 4    a         Hays
## 5     b        Hays
## 6      c       Hays
## 7    a    Manhattan
## 8     b   Manhattan
## 9      c  Manhattan

2.2.3 0.053-0.02 mm

## [1] "0-5 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                  Sum Sq Mean Sq NumDF DenDF F value    Pr(>F)    
## treatment        79.773  39.886     2    27 22.0949 2.069e-06 ***
## precip            4.560   2.280     2    27  1.2630 0.2989752    
## treatment:precip 55.436  13.859     4    27  7.6771 0.0002882 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## precip = 472:
##  treatment lsmean    SE df lower.CL upper.CL
##  AG          4.11 0.672 27    2.729     5.49
##  EA          5.41 0.672 27    4.032     6.79
##  NP          2.18 0.672 27    0.804     3.56
## 
## precip = 579:
##  treatment lsmean    SE df lower.CL upper.CL
##  AG          8.78 0.672 27    7.399    10.16
##  EA          3.78 0.672 27    2.399     5.16
##  NP          1.76 0.672 27    0.379     3.14
## 
## precip = 850:
##  treatment lsmean    SE df lower.CL upper.CL
##  AG          4.81 0.672 27    3.434     6.19
##  EA          5.05 0.672 27    3.669     6.43
##  NP          3.04 0.672 27    1.662     4.42
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
## precip = 472:
##  treatment lsmean    SE df lower.CL upper.CL .group
##  EA          5.41 0.672 27    4.032     6.79  a    
##  AG          4.11 0.672 27    2.729     5.49  ab   
##  NP          2.18 0.672 27    0.804     3.56   b   
## 
## precip = 579:
##  treatment lsmean    SE df lower.CL upper.CL .group
##  AG          8.78 0.672 27    7.399    10.16  a    
##  EA          3.78 0.672 27    2.399     5.16   b   
##  NP          1.76 0.672 27    0.379     3.14    c  
## 
## precip = 850:
##  treatment lsmean    SE df lower.CL upper.CL .group
##  EA          5.05 0.672 27    3.669     6.43  a    
##  AG          4.81 0.672 27    3.434     6.19  ab   
##  NP          3.04 0.672 27    1.662     4.42   b   
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05 
## NOTE: Compact letter displays can be misleading
##       because they show NON-findings rather than findings.
##       Consider using 'pairs()', 'pwpp()', or 'pwpm()' instead.
##   treatment precip lsmean       SE df  lower.CL upper.CL .group
## 3        EA    472 5.4100 0.671795 27 4.0315905  6.78841     a 
## 1        AG    472 4.1075 0.671795 27 2.7290905  5.48591     ab
## 2        NP    472 2.1825 0.671795 27 0.8040905  3.56091      b
## 6        AG    579 8.7775 0.671795 27 7.3990905 10.15591    a  
## 5        EA    579 3.7775 0.671795 27 2.3990905  5.15591     b 
## 4        NP    579 1.7575 0.671795 27 0.3790905  3.13591      c
## 9        EA    850 5.0475 0.671795 27 3.6690905  6.42591     a 
## 7        AG    850 4.8125 0.671795 27 3.4340905  6.19091     ab
## 8        NP    850 3.0400 0.671795 27 1.6615905  4.41841      b
##   precip  location treatment lsmean       SE df  lower.CL upper.CL .group
## 1    472   Tribune        EA 5.4100 0.671795 27 4.0315905  6.78841     a 
## 2    472   Tribune        AG 4.1075 0.671795 27 2.7290905  5.48591     ab
## 3    472   Tribune        NP 2.1825 0.671795 27 0.8040905  3.56091      b
## 4    579      Hays        AG 8.7775 0.671795 27 7.3990905 10.15591    a  
## 5    579      Hays        EA 3.7775 0.671795 27 2.3990905  5.15591     b 
## 6    579      Hays        NP 1.7575 0.671795 27 0.3790905  3.13591      c
## 7    850 Manhattan        EA 5.0475 0.671795 27 3.6690905  6.42591     a 
## 8    850 Manhattan        AG 4.8125 0.671795 27 3.4340905  6.19091     ab
## 9    850 Manhattan        NP 3.0400 0.671795 27 1.6615905  4.41841      b
##   location_f
## 1    Tribune
## 2    Tribune
## 3    Tribune
## 4       Hays
## 5       Hays
## 6       Hays
## 7  Manhattan
## 8  Manhattan
## 9  Manhattan

2.3 10-15 cm 20 minutes

###8-2 mm

## [1] "0-5 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                  Sum Sq Mean Sq NumDF DenDF  F value    Pr(>F)    
## treatment        3708.8 1854.41     2    27 128.1703 1.649e-14 ***
## precip             46.3   23.17     2    27   1.6012    0.2202    
## treatment:precip   41.8   10.45     4    27   0.7222    0.5844    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##   precip  location treatment    lsmean       SE df   lower.CL  upper.CL .group
## 1    472   Tribune        NP 26.297002 1.901863 27 22.3947003 30.199303     a 
## 2    472   Tribune        AG  7.344079 1.901863 27  3.4417780 11.246381      b
## 3    472   Tribune        EA  3.058975 1.901863 27 -0.8433266  6.961276      b
## 4    579      Hays        NP 23.871558 1.901863 27 19.9692562 27.773859     a 
## 5    579      Hays        EA  2.561610 1.901863 27 -1.3406916  6.463911      b
## 6    579      Hays        AG  1.931631 1.901863 27 -1.9706708  5.833932      b
## 7    850 Manhattan        NP 25.368150 1.901863 27 21.4658488 29.270451     a 
## 8    850 Manhattan        EA  4.378598 1.901863 27  0.4762962  8.280899      b
## 9    850 Manhattan        AG  2.653159 1.901863 27 -1.2491423  6.555460      b
##   location_f
## 1    Tribune
## 2    Tribune
## 3    Tribune
## 4       Hays
## 5       Hays
## 6       Hays
## 7  Manhattan
## 8  Manhattan
## 9  Manhattan

2.3.1 2-0.250 mm

## [1] "0-5 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                  Sum Sq Mean Sq NumDF  DenDF F value  Pr(>F)  
## treatment        832.09  416.05     2 22.322  4.4308 0.02396 *
## precip           253.13  126.56     2 11.356  1.3479 0.29837  
## treatment:precip 396.69   99.17     4 22.322  1.0562 0.40112  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##   precip  location treatment   lsmean       SE       df  lower.CL upper.CL
## 1    472   Tribune        NP 31.52114 5.299915 24.42448 20.592709 42.44958
## 2    472   Tribune        AG 27.33366 5.299915 24.42448 16.405226 38.26210
## 3    472   Tribune        EA 15.88228 5.299915 24.42448  4.953841 26.81071
## 4    579      Hays        AG 32.94085 5.299915 24.42448 22.012414 43.86929
## 5    579      Hays        NP 23.26334 5.299915 24.42448 12.334906 34.19178
## 6    579      Hays        EA 18.86667 5.299915 24.42448  7.938236 29.79511
## 7    850 Manhattan        NP 37.56309 5.299915 24.42448 26.634649 48.49152
## 8    850 Manhattan        AG 29.49422 5.299915 24.42448 18.565782 40.42265
## 9    850 Manhattan        EA 25.79500 5.299915 24.42448 14.866564 36.72344
##   .group location_f
## 1     a     Tribune
## 2     ab    Tribune
## 3      b    Tribune
## 4      a       Hays
## 5      a       Hays
## 6      a       Hays
## 7      a  Manhattan
## 8      a  Manhattan
## 9      a  Manhattan

2.3.2 0.250-0.053 mm

## [1] "0-5 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                  Sum Sq Mean Sq NumDF  DenDF F value    Pr(>F)    
## treatment        5954.3 2977.14     2 22.126 25.8975 1.601e-06 ***
## precip            236.0  117.98     2 11.493  1.0263    0.3890    
## treatment:precip  588.3  147.08     4 22.126  1.2794    0.3081    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## precip = 472:
##  treatment lsmean   SE   df lower.CL upper.CL
##  AG          43.9 5.59 26.4    32.38     55.3
##  EA          51.1 5.59 26.4    39.65     62.6
##  NP          20.9 5.59 26.4     9.40     32.3
## 
## precip = 579:
##  treatment lsmean   SE   df lower.CL upper.CL
##  AG          44.0 5.59 26.4    32.56     55.5
##  EA          60.0 5.59 26.4    48.51     71.5
##  NP          32.7 5.59 26.4    21.21     44.2
## 
## precip = 850:
##  treatment lsmean   SE   df lower.CL upper.CL
##  AG          54.0 5.59 26.4    42.57     65.5
##  EA          52.4 5.59 26.4    40.89     63.8
##  NP          19.5 5.59 26.4     7.98     30.9
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
##   precip  location treatment   lsmean       SE      df  lower.CL upper.CL
## 1    472   Tribune        EA 51.12957 5.586198 26.3469 39.654327 62.60481
## 2    472   Tribune        AG 43.85542 5.586198 26.3469 32.380181 55.33066
## 3    472   Tribune        NP 20.87374 5.586198 26.3469  9.398503 32.34898
## 4    579      Hays        EA 59.98533 5.586198 26.3469 48.510085 71.46056
## 5    579      Hays        AG 44.03529 5.586198 26.3469 32.560046 55.51053
## 6    579      Hays        NP 32.68928 5.586198 26.3469 21.214043 44.16452
## 7    850 Manhattan        AG 54.04183 5.586198 26.3469 42.566587 65.51707
## 8    850 Manhattan        EA 52.36527 5.586198 26.3469 40.890028 63.84051
## 9    850 Manhattan        NP 19.45423 5.586198 26.3469  7.978991 30.92947
##   .group location_f
## 1     a     Tribune
## 2     a     Tribune
## 3      b    Tribune
## 4     a        Hays
## 5      b       Hays
## 6      b       Hays
## 7     a   Manhattan
## 8     a   Manhattan
## 9      b  Manhattan

2.3.3 0.053-0.02 mm

## [1] "0-5 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                   Sum Sq Mean Sq NumDF   DenDF F value    Pr(>F)    
## treatment        157.687  78.844     2 18.9916 21.2369 1.434e-05 ***
## precip             9.154   4.577     2  6.5278  1.2328   0.35141    
## treatment:precip  50.755  12.689     4 18.9916  3.4178   0.02888 *  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## precip = 472:
##  treatment lsmean   SE   df lower.CL upper.CL
##  AG          4.41 1.09 22.6    2.146     6.68
##  EA          8.42 1.09 22.6    6.156    10.69
##  NP          1.61 1.09 22.6   -0.651     3.88
## 
## precip = 579:
##  treatment lsmean   SE   df lower.CL upper.CL
##  AG          7.83 1.09 22.6    5.561    10.09
##  EA          5.56 1.09 22.6    3.296     7.83
##  NP          2.44 1.09 22.6    0.174     4.71
## 
## precip = 850:
##  treatment lsmean   SE   df lower.CL upper.CL
##  AG          3.47 1.09 22.6    1.204     5.74
##  EA          6.94 1.09 22.6    4.674     9.21
##  NP          1.73 1.09 22.6   -0.534     4.00
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
## precip = 472:
##  treatment lsmean   SE   df lower.CL upper.CL .group
##  EA          8.42 1.09 22.6    6.156    10.69  a    
##  AG          4.41 1.09 22.6    2.146     6.68   b   
##  NP          1.61 1.09 22.6   -0.651     3.88   b   
## 
## precip = 579:
##  treatment lsmean   SE   df lower.CL upper.CL .group
##  AG          7.83 1.09 22.6    5.561    10.09  a    
##  EA          5.56 1.09 22.6    3.296     7.83  a    
##  NP          2.44 1.09 22.6    0.174     4.71   b   
## 
## precip = 850:
##  treatment lsmean   SE   df lower.CL upper.CL .group
##  EA          6.94 1.09 22.6    4.674     9.21  a    
##  AG          3.47 1.09 22.6    1.204     5.74   b   
##  NP          1.73 1.09 22.6   -0.534     4.00   b   
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05 
## NOTE: Compact letter displays can be misleading
##       because they show NON-findings rather than findings.
##       Consider using 'pairs()', 'pwpp()', or 'pwpm()' instead.
##   treatment precip lsmean       SE       df   lower.CL  upper.CL .group
## 3        EA    472 8.4225 1.094354 22.58634  6.1563605 10.688639     a 
## 1        AG    472 4.4125 1.094354 22.58634  2.1463605  6.678639      b
## 2        NP    472 1.6150 1.094354 22.58634 -0.6511395  3.881139      b
## 6        AG    579 7.8275 1.094354 22.58634  5.5613605 10.093639     a 
## 5        EA    579 5.5625 1.094354 22.58634  3.2963605  7.828639     a 
## 4        NP    579 2.4400 1.094354 22.58634  0.1738605  4.706139      b
## 9        EA    850 6.9400 1.094354 22.58634  4.6738605  9.206139     a 
## 7        AG    850 3.4700 1.094354 22.58634  1.2038605  5.736139      b
## 8        NP    850 1.7325 1.094354 22.58634 -0.5336395  3.998639      b
##   precip  location treatment lsmean       SE       df   lower.CL  upper.CL
## 1    472   Tribune        EA 8.4225 1.094354 22.58634  6.1563605 10.688639
## 2    472   Tribune        AG 4.4125 1.094354 22.58634  2.1463605  6.678639
## 3    472   Tribune        NP 1.6150 1.094354 22.58634 -0.6511395  3.881139
## 4    579      Hays        AG 7.8275 1.094354 22.58634  5.5613605 10.093639
## 5    579      Hays        EA 5.5625 1.094354 22.58634  3.2963605  7.828639
## 6    579      Hays        NP 2.4400 1.094354 22.58634  0.1738605  4.706139
## 7    850 Manhattan        EA 6.9400 1.094354 22.58634  4.6738605  9.206139
## 8    850 Manhattan        AG 3.4700 1.094354 22.58634  1.2038605  5.736139
## 9    850 Manhattan        NP 1.7325 1.094354 22.58634 -0.5336395  3.998639
##   .group location_f
## 1     a     Tribune
## 2      b    Tribune
## 3      b    Tribune
## 4     a        Hays
## 5     a        Hays
## 6      b       Hays
## 7     a   Manhattan
## 8      b  Manhattan
## 9      b  Manhattan

3 5 min Aggregate Graphs

3.1 0-5 cm 5 minutes

## [1] "0-5 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                Sum Sq Mean Sq NumDF   DenDF F value    Pr(>F)    
## landuse        9.0889  4.5444     2 20.7855 147.735 5.163e-13 ***
## precip         1.9281  0.9641     2  8.4263  31.341 0.0001252 ***
## landuse:precip 3.5555  0.8889     4 20.7855  28.896 3.171e-08 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##   landuse precip    lsmean        SE       df  lower.CL  upper.CL .group
## 1      EA    472 0.8730867 0.1153711 16.22468 0.6287858 1.1173875     a 
## 3      NP    472 0.7705144 0.1153711 16.22468 0.5262135 1.0148152     a 
## 2      AG    472 0.4969844 0.1153711 16.22468 0.2526835 0.7412853      b
## 4      NP    579 2.5919444 0.1153711 16.22468 2.3476436 2.8362453    a  
## 5      EA    579 1.6406292 0.1153711 16.22468 1.3963283 1.8849301     b 
## 6      AG    579 0.4614811 0.1153711 16.22468 0.2171802 0.7057820      c
## 7      NP    850 1.7832866 0.1153711 16.22468 1.5389857 2.0275875    a  
## 8      EA    850 1.1125858 0.1153711 16.22468 0.8682849 1.3568867     b 
## 9      AG    850 0.5132084 0.1153711 16.22468 0.2689075 0.7575093      c
##   precip landuse    lsmean        SE       df  lower.CL  upper.CL .group
## 1    472      AG 0.4969844 0.1153711 16.22468 0.2526835 0.7412853      b
## 2    472      EA 0.8730867 0.1153711 16.22468 0.6287858 1.1173875     a 
## 3    472      NP 0.7705144 0.1153711 16.22468 0.5262135 1.0148152     a 
## 4    579      AG 0.4614811 0.1153711 16.22468 0.2171802 0.7057820      c
## 5    579      EA 1.6406292 0.1153711 16.22468 1.3963283 1.8849301     b 
## 6    579      NP 2.5919444 0.1153711 16.22468 2.3476436 2.8362453    a  
## 7    850      AG 0.5132084 0.1153711 16.22468 0.2689075 0.7575093      c
## 8    850      EA 1.1125858 0.1153711 16.22468 0.8682849 1.3568867     b 
## 9    850      NP 1.7832866 0.1153711 16.22468 1.5389857 2.0275875    a  
##    location n      mean         sd         se
## 1   Tribune 4 0.4969844 0.20872366 0.10436183
## 2   Tribune 4 0.8730867 0.34450024 0.17225012
## 3   Tribune 4 0.7705144 0.09091499 0.04545750
## 4      Hays 4 0.4614811 0.11490948 0.05745474
## 5      Hays 4 1.6406292 0.14262624 0.07131312
## 6      Hays 4 2.5919444 0.32999554 0.16499777
## 7 Manhattan 4 0.5132084 0.07644064 0.03822032
## 8 Manhattan 4 1.1125858 0.08289555 0.04144778
## 9 Manhattan 4 1.7832866 0.37560090 0.18780045

###8-2 mm

## [1] "0-5 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                   Sum Sq Mean Sq NumDF   DenDF F value    Pr(>F)    
## treatment        3046.25 1523.13     2 21.1098  98.376 1.998e-11 ***
## precip            939.68  469.84     2  9.1148  30.346 9.344e-05 ***
## treatment:precip 1637.29  409.32     4 21.1098  26.438 5.896e-08 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##   precip  location treatment    lsmean       SE       df  lower.CL  upper.CL
## 1    472   Tribune        EA 10.186894 2.267247 21.87134  5.483308 14.890481
## 2    472   Tribune        NP  8.822787 2.267247 21.87134  4.119200 13.526373
## 3    472   Tribune        AG  6.619284 2.267247 21.87134  1.915697 11.322870
## 4    579      Hays        NP 44.065476 2.267247 21.87134 39.361889 48.769062
## 5    579      Hays        EA 25.901540 2.267247 21.87134 21.197953 30.605126
## 6    579      Hays        AG  1.563937 2.267247 21.87134 -3.139650  6.267523
## 7    850 Manhattan        NP 25.434619 2.267247 21.87134 20.731032 30.138205
## 8    850 Manhattan        EA 14.241278 2.267247 21.87134  9.537691 18.944864
## 9    850 Manhattan        AG  2.857780 2.267247 21.87134 -1.845807  7.561367
##   .group location_f
## 1      a    Tribune
## 2      a    Tribune
## 3      a    Tribune
## 4    a         Hays
## 5     b        Hays
## 6      c       Hays
## 7    a    Manhattan
## 8     b   Manhattan
## 9      c  Manhattan

3.1.1 2-0.250 mm

## [1] "0-5 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                  Sum Sq Mean Sq NumDF  DenDF F value   Pr(>F)   
## treatment        977.51  488.76     2 21.239  8.4360 0.002012 **
## precip           780.26  390.13     2 10.129  6.7337 0.013802 * 
## treatment:precip 571.64  142.91     4 21.239  2.4666 0.075969 . 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##   precip  location treatment    lsmean       SE       df  lower.CL upper.CL
## 1    472   Tribune        EA 29.018520 3.940058 26.52673 20.927435 37.10960
## 2    472   Tribune        NP 27.005202 3.940058 26.52673 18.914117 35.09629
## 3    472   Tribune        AG  9.931781 3.940058 26.52673  1.840697 18.02287
## 4    579      Hays        NP 32.570016 3.940058 26.52673 24.478931 40.66110
## 5    579      Hays        AG 27.649027 3.940058 26.52673 19.557942 35.74011
## 6    579      Hays        EA 26.595305 3.940058 26.52673 18.504220 34.68639
## 7    850 Manhattan        NP 44.262281 3.940058 26.52673 36.171196 52.35337
## 8    850 Manhattan        EA 31.323713 3.940058 26.52673 23.232629 39.41480
## 9    850 Manhattan        AG 28.049438 3.940058 26.52673 19.958353 36.14052
##   .group location_f
## 1     a     Tribune
## 2     a     Tribune
## 3      b    Tribune
## 4      a       Hays
## 5      a       Hays
## 6      a       Hays
## 7     a   Manhattan
## 8      b  Manhattan
## 9      b  Manhattan

3.1.2 0.250-0.053 mm

## [1] "0-5 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                  Sum Sq Mean Sq NumDF  DenDF F value    Pr(>F)    
## treatment        6024.4 3012.22     2 21.639 41.5735 3.872e-08 ***
## precip            112.7   56.36     2 11.231  0.7779    0.4826    
## treatment:precip  356.3   89.08     4 21.639  1.2294    0.3276    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## precip = 472:
##  treatment lsmean   SE   df lower.CL upper.CL
##  AG          51.3 4.31 26.9    42.44     60.1
##  EA          35.1 4.31 26.9    26.28     44.0
##  NP          23.4 4.31 26.9    14.57     32.3
## 
## precip = 579:
##  treatment lsmean   SE   df lower.CL upper.CL
##  AG          46.2 4.31 26.9    37.38     55.1
##  EA          39.8 4.31 26.9    30.98     48.7
##  NP          18.9 4.31 26.9    10.08     27.8
## 
## precip = 850:
##  treatment lsmean   SE   df lower.CL upper.CL
##  AG          52.8 4.31 26.9    43.94     61.6
##  EA          30.9 4.31 26.9    22.02     39.7
##  NP          13.0 4.31 26.9     4.11     21.8
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
##   precip  location treatment   lsmean       SE       df  lower.CL upper.CL
## 1    472   Tribune        AG 51.28463 4.308961 26.93583 42.442385 60.12687
## 2    472   Tribune        EA 35.12016 4.308961 26.93583 26.277920 43.96241
## 3    472   Tribune        NP 23.41428 4.308961 26.93583 14.572037 32.25652
## 4    579      Hays        AG 46.22015 4.308961 26.93583 37.377911 55.06240
## 5    579      Hays        EA 39.81846 4.308961 26.93583 30.976213 48.66070
## 6    579      Hays        NP 18.92336 4.308961 26.93583 10.081112 27.76560
## 7    850 Manhattan        AG 52.78271 4.308961 26.93583 43.940465 61.62495
## 8    850 Manhattan        EA 30.85960 4.308961 26.93583 22.017359 39.70184
## 9    850 Manhattan        NP 12.95212 4.308961 26.93583  4.109876 21.79436
##   .group location_f
## 1     a     Tribune
## 2      b    Tribune
## 3      b    Tribune
## 4     a        Hays
## 5     a        Hays
## 6      b       Hays
## 7    a    Manhattan
## 8     b   Manhattan
## 9      c  Manhattan

3.1.3 0.053-0.02 mm

## [1] "0-5 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                  Sum Sq Mean Sq NumDF DenDF F value   Pr(>F)   
## treatment         81.43  40.715     2    27  1.7331 0.195822   
## precip           341.14 170.569     2    27  7.2607 0.002997 **
## treatment:precip 195.51  48.876     4    27  2.0805 0.111180   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## precip = 472:
##  treatment lsmean   SE df lower.CL upper.CL
##  AG          6.82 2.42 27  1.85001    11.79
##  EA          4.96 2.42 27 -0.00749     9.94
##  NP          5.25 2.42 27  0.28251    10.23
## 
## precip = 579:
##  treatment lsmean   SE df lower.CL upper.CL
##  AG          6.05 2.42 27  1.08001    11.02
##  EA         16.82 2.42 27 11.84501    21.79
##  NP          8.62 2.42 27  3.64501    13.59
## 
## precip = 850:
##  treatment lsmean   SE df lower.CL upper.CL
##  AG          3.98 2.42 27 -0.99249     8.95
##  EA          3.77 2.42 27 -1.19749     8.75
##  NP          1.43 2.42 27 -3.53853     6.41
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
## precip = 472:
##  treatment lsmean   SE df lower.CL upper.CL .group
##  AG          6.82 2.42 27  1.85001    11.79  a    
##  NP          5.25 2.42 27  0.28251    10.23  a    
##  EA          4.96 2.42 27 -0.00749     9.94  a    
## 
## precip = 579:
##  treatment lsmean   SE df lower.CL upper.CL .group
##  EA         16.82 2.42 27 11.84501    21.79  a    
##  NP          8.62 2.42 27  3.64501    13.59   b   
##  AG          6.05 2.42 27  1.08001    11.02   b   
## 
## precip = 850:
##  treatment lsmean   SE df lower.CL upper.CL .group
##  AG          3.98 2.42 27 -0.99249     8.95  a    
##  EA          3.77 2.42 27 -1.19749     8.75  a    
##  NP          1.43 2.42 27 -3.53853     6.41  a    
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05 
## NOTE: Compact letter displays can be misleading
##       because they show NON-findings rather than findings.
##       Consider using 'pairs()', 'pwpp()', or 'pwpm()' instead.
##   treatment precip    lsmean       SE df     lower.CL  upper.CL .group
## 2        AG    472  6.822500 2.423439 27  1.850013269 11.794987      a
## 3        NP    472  5.255000 2.423439 27  0.282513269 10.227487      a
## 1        EA    472  4.965000 2.423439 27 -0.007486731  9.937487      a
## 4        EA    579 16.817500 2.423439 27 11.845013269 21.789987     a 
## 6        NP    579  8.617500 2.423439 27  3.645013269 13.589987      b
## 5        AG    579  6.052500 2.423439 27  1.080013269 11.024987      b
## 9        AG    850  3.980000 2.423439 27 -0.992486731  8.952487      a
## 8        EA    850  3.775000 2.423439 27 -1.197486731  8.747487      a
## 7        NP    850  1.433954 2.423439 27 -3.538532696  6.406441      a
##   precip  location treatment    lsmean       SE df     lower.CL  upper.CL
## 1    472   Tribune        AG  6.822500 2.423439 27  1.850013269 11.794987
## 2    472   Tribune        NP  5.255000 2.423439 27  0.282513269 10.227487
## 3    472   Tribune        EA  4.965000 2.423439 27 -0.007486731  9.937487
## 4    579      Hays        EA 16.817500 2.423439 27 11.845013269 21.789987
## 5    579      Hays        NP  8.617500 2.423439 27  3.645013269 13.589987
## 6    579      Hays        AG  6.052500 2.423439 27  1.080013269 11.024987
## 7    850 Manhattan        AG  3.980000 2.423439 27 -0.992486731  8.952487
## 8    850 Manhattan        EA  3.775000 2.423439 27 -1.197486731  8.747487
## 9    850 Manhattan        NP  1.433954 2.423439 27 -3.538532696  6.406441
##   .group location_f
## 1      a    Tribune
## 2      a    Tribune
## 3      a    Tribune
## 4     a        Hays
## 5      b       Hays
## 6      b       Hays
## 7      a  Manhattan
## 8      a  Manhattan
## 9      a  Manhattan

3.2 5-10 cm 5 minutes

###8-2 mm

## [1] "0-5 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                  Sum Sq Mean Sq NumDF  DenDF F value    Pr(>F)    
## treatment        3242.9 1621.44     2 24.816  70.616 5.717e-11 ***
## precip           1202.5  601.27     2 22.710  26.186 1.268e-06 ***
## treatment:precip 2277.5  569.37     4 24.206  24.797 2.946e-08 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##   precip  location treatment    lsmean       SE       df  lower.CL  upper.CL
## 1    472   Tribune        NP  7.784108 2.481473 26.41131  2.687230 12.880986
## 2    472   Tribune        AG  7.358129 2.481473 26.41131  2.261251 12.455007
## 3    472   Tribune        EA  3.989024 2.481473 26.41131 -1.107854  9.085902
## 4    579      Hays        NP 47.950775 2.481473 26.41131 42.853897 53.047653
## 5    579      Hays        EA 10.999532 2.481473 26.41131  5.902654 16.096410
## 6    579      Hays        AG  3.551578 2.481473 26.41131 -1.545301  8.648456
## 7    850 Manhattan        NP 27.719093 2.481473 26.41131 22.622215 32.815972
## 8    850 Manhattan        EA 18.601440 2.481473 26.41131 13.504562 23.698318
## 9    850 Manhattan        AG  4.704605 2.481473 26.41131 -0.392273  9.801483
##   .group location_f
## 1      a    Tribune
## 2      a    Tribune
## 3      a    Tribune
## 4    a         Hays
## 5     b        Hays
## 6      c       Hays
## 7    a    Manhattan
## 8     b   Manhattan
## 9      c  Manhattan

3.2.1 2-0.250 mm

## [1] "0-5 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                  Sum Sq Mean Sq NumDF  DenDF F value    Pr(>F)    
## treatment        1308.4  654.22     2 24.405  8.6610 0.0014374 ** 
## precip           1914.2  957.07     2 23.351 12.6703 0.0001878 ***
## treatment:precip 1037.2  259.31     4 23.956  3.4329 0.0235728 *  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##   precip  location treatment   lsmean       SE       df  lower.CL upper.CL
## 1    472   Tribune        NP 36.00030 4.391035 26.94418 26.989762 45.01083
## 2    472   Tribune        EA 17.12701 4.391035 26.94418  8.116474 26.13754
## 3    472   Tribune        AG 15.92634 4.391035 26.94418  6.915812 24.93688
## 4    579      Hays        EA 38.08866 4.391035 26.94418 29.078132 47.09920
## 5    579      Hays        NP 37.44081 4.391035 26.94418 28.430276 46.45134
## 6    579      Hays        AG 16.11014 4.391035 26.94418  7.099607 25.12067
## 7    850 Manhattan        NP 44.20709 4.391035 26.94418 35.196554 53.21762
## 8    850 Manhattan        AG 41.27775 4.391035 26.94418 32.267214 50.28828
## 9    850 Manhattan        EA 37.56607 4.391035 26.94418 28.555534 46.57660
##   .group location_f
## 1     a     Tribune
## 2      b    Tribune
## 3      b    Tribune
## 4     a        Hays
## 5     a        Hays
## 6      b       Hays
## 7      a  Manhattan
## 8      a  Manhattan
## 9      a  Manhattan

3.2.2 0.250-0.053 mm

## [1] "0-5 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                  Sum Sq Mean Sq NumDF  DenDF F value    Pr(>F)    
## treatment        4653.5 2326.74     2 24.510 27.3284 5.751e-07 ***
## precip           2560.8 1280.39     2 23.660 15.0387 6.102e-05 ***
## treatment:precip  770.2  192.55     4 24.108  2.2616   0.09212 .  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## precip = 472:
##  treatment lsmean   SE df lower.CL upper.CL
##  AG          48.8 4.65 27    39.26     58.3
##  EA          56.3 4.65 27    46.73     65.8
##  NP          28.5 4.65 27    19.01     38.1
## 
## precip = 579:
##  treatment lsmean   SE df lower.CL upper.CL
##  AG          53.8 4.65 27    44.31     63.4
##  EA          52.7 4.65 27    43.21     62.3
##  NP          26.0 4.65 27    16.47     35.5
## 
## precip = 850:
##  treatment lsmean   SE df lower.CL upper.CL
##  AG          42.5 4.65 27    33.01     52.1
##  EA          23.9 4.65 27    14.34     33.4
##  NP          12.8 4.65 27     3.29     22.4
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
##   precip  location treatment   lsmean       SE       df  lower.CL upper.CL
## 1    472   Tribune        EA 56.26802 4.646506 26.97369 46.733745 65.80230
## 2    472   Tribune        AG 48.79037 4.646506 26.97369 39.256094 58.32465
## 3    472   Tribune        NP 28.54305 4.646506 26.97369 19.008772 38.07733
## 4    579      Hays        AG 53.84427 4.646506 26.97369 44.309997 63.37855
## 5    579      Hays        EA 52.73937 4.646506 26.97369 43.205095 62.27365
## 6    579      Hays        NP 26.00424 4.646506 26.97369 16.469966 35.53852
## 7    850 Manhattan        AG 42.54411 4.646506 26.97369 33.009834 52.07839
## 8    850 Manhattan        EA 23.87843 4.646506 26.97369 14.344149 33.41270
## 9    850 Manhattan        NP 12.82837 4.646506 26.97369  3.294094 22.36265
##   .group location_f
## 1     a     Tribune
## 2     a     Tribune
## 3      b    Tribune
## 4     a        Hays
## 5     a        Hays
## 6      b       Hays
## 7     a   Manhattan
## 8      b  Manhattan
## 9      b  Manhattan

3.2.3 0.053-0.02 mm

## [1] "0-5 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                  Sum Sq Mean Sq NumDF DenDF F value    Pr(>F)    
## treatment        79.773  39.886     2    27 22.0949 2.069e-06 ***
## precip            4.560   2.280     2    27  1.2630 0.2989752    
## treatment:precip 55.436  13.859     4    27  7.6771 0.0002882 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##   precip  location treatment  lsmean        SE df   lower.CL  upper.CL .group
## 1    472   Tribune        AG  7.5800 0.9417107 27  5.6477693  9.512231      a
## 2    472   Tribune        EA  6.5025 0.9417107 27  4.5702693  8.434731      a
## 3    472   Tribune        NP  4.8950 0.9417107 27  2.9627693  6.827231      a
## 4    579      Hays        EA 11.5525 0.9417107 27  9.6202693 13.484731     a 
## 5    579      Hays        NP  9.0175 0.9417107 27  7.0852693 10.949731     a 
## 6    579      Hays        AG  5.6325 0.9417107 27  3.7002693  7.564731      b
## 7    850 Manhattan        EA  4.2475 0.9417107 27  2.3152693  6.179731      a
## 8    850 Manhattan        AG  2.2525 0.9417107 27  0.3202693  4.184731      a
## 9    850 Manhattan        NP  1.7150 0.9417107 27 -0.2172307  3.647231      a
##   location_f
## 1    Tribune
## 2    Tribune
## 3    Tribune
## 4       Hays
## 5       Hays
## 6       Hays
## 7  Manhattan
## 8  Manhattan
## 9  Manhattan

3.3 10-15 cm 5 minutes

###8-2 mm

## [1] "0-5 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                   Sum Sq Mean Sq NumDF DenDF F value    Pr(>F)    
## treatment        2795.75 1397.88     2    27 21.7816 2.331e-06 ***
## precip            690.88  345.44     2    27  5.3826   0.01078 *  
## treatment:precip  934.65  233.66     4    27  3.6409   0.01694 *  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##   precip  location treatment    lsmean       SE df   lower.CL upper.CL .group
## 1    472   Tribune        NP 14.583834 4.005528 27  6.3651697 22.80250      a
## 2    472   Tribune        AG  6.606750 4.005528 27 -1.6119142 14.82541      a
## 3    472   Tribune        EA  6.572290 4.005528 27 -1.6463741 14.79095      a
## 4    579      Hays        NP 40.495560 4.005528 27 32.2768962 48.71422     a 
## 5    579      Hays        AG 11.637256 4.005528 27  3.4185919 19.85592      b
## 6    579      Hays        EA  7.687615 4.005528 27 -0.5310489 15.90628      b
## 7    850 Manhattan        NP 26.750084 4.005528 27 18.5314199 34.96875     a 
## 8    850 Manhattan        EA 15.118422 4.005528 27  6.8997576 23.33709     ab
## 9    850 Manhattan        AG  4.467970 4.005528 27 -3.7506942 12.68663      b
##   location_f
## 1    Tribune
## 2    Tribune
## 3    Tribune
## 4       Hays
## 5       Hays
## 6       Hays
## 7  Manhattan
## 8  Manhattan
## 9  Manhattan

3.3.1 2-0.250 mm

## [1] "0-5 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                   Sum Sq Mean Sq NumDF DenDF F value   Pr(>F)   
## treatment         473.48  236.74     2    27  1.7764 0.188457   
## precip           2205.73 1102.87     2    27  8.2756 0.001574 **
## treatment:precip 1200.40  300.10     4    27  2.2519 0.089805 . 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##   precip  location treatment   lsmean       SE df  lower.CL upper.CL .group
## 1    472   Tribune        EA 32.71524 5.772062 27 20.871950 44.55854      a
## 2    472   Tribune        AG 19.59991 5.772062 27  7.756621 31.44321      a
## 3    472   Tribune        NP 18.03246 5.772062 27  6.189164 29.87575      a
## 4    579      Hays        EA 45.46467 5.772062 27 33.621372 57.30796      a
## 5    579      Hays        NP 32.09403 5.772062 27 20.250733 43.93732      a
## 6    579      Hays        AG 32.00845 5.772062 27 20.165157 43.85174      a
## 7    850 Manhattan        AG 52.68674 5.772062 27 40.843442 64.53003      a
## 8    850 Manhattan        NP 37.69254 5.772062 27 25.849249 49.53584      a
## 9    850 Manhattan        EA 36.01735 5.772062 27 24.174053 47.86064      a
##   location_f
## 1    Tribune
## 2    Tribune
## 3    Tribune
## 4       Hays
## 5       Hays
## 6       Hays
## 7  Manhattan
## 8  Manhattan
## 9  Manhattan

3.3.2 0.250-0.053 mm

## [1] "0-5 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                   Sum Sq Mean Sq NumDF DenDF F value  Pr(>F)  
## treatment        1446.44  723.22     2    27  5.3919 0.01071 *
## precip           1385.82  692.91     2    27  5.1660 0.01260 *
## treatment:precip  980.67  245.17     4    27  1.8278 0.15257  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## precip = 472:
##  treatment lsmean   SE df lower.CL upper.CL
##  AG          54.1 5.79 27    42.18     65.9
##  EA          41.1 5.79 27    29.22     53.0
##  NP          33.0 5.79 27    21.13     44.9
## 
## precip = 579:
##  treatment lsmean   SE df lower.CL upper.CL
##  AG          32.3 5.79 27    20.39     44.1
##  EA          49.6 5.79 27    37.72     61.5
##  NP          26.4 5.79 27    14.54     38.3
## 
## precip = 850:
##  treatment lsmean   SE df lower.CL upper.CL
##  AG          33.1 5.79 27    21.21     45.0
##  EA          29.5 5.79 27    17.66     41.4
##  NP          20.1 5.79 27     8.18     31.9
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
##   precip  location treatment   lsmean       SE df  lower.CL upper.CL .group
## 1    472   Tribune        AG 54.06194 5.790714 27 42.180374 65.94350     a 
## 2    472   Tribune        EA 41.10064 5.790714 27 29.219080 52.98221     ab
## 3    472   Tribune        NP 33.01473 5.790714 27 21.133171 44.89630      b
## 4    579      Hays        EA 49.59674 5.790714 27 37.715174 61.47830     a 
## 5    579      Hays        AG 32.26746 5.790714 27 20.385893 44.14902      b
## 6    579      Hays        NP 26.41757 5.790714 27 14.536007 38.29913      b
## 7    850 Manhattan        AG 33.09569 5.790714 27 21.214123 44.97725      a
## 8    850 Manhattan        EA 29.54047 5.790714 27 17.658910 41.42204      a
## 9    850 Manhattan        NP 20.06624 5.790714 27  8.184675 31.94780      a
##   location_f
## 1    Tribune
## 2    Tribune
## 3    Tribune
## 4       Hays
## 5       Hays
## 6       Hays
## 7  Manhattan
## 8  Manhattan
## 9  Manhattan

3.3.3 0.053-0.02 mm

## [1] "0-5 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                   Sum Sq Mean Sq NumDF DenDF F value    Pr(>F)    
## treatment         30.440  15.220     2    27  8.3832  0.001472 ** 
## precip           192.516  96.258     2    27 53.0197 4.464e-10 ***
## treatment:precip  37.331   9.333     4    27  5.1406  0.003275 ** 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## precip = 472:
##  treatment lsmean    SE df lower.CL upper.CL
##  AG          5.56 0.674 27   4.1752     6.94
##  EA          5.67 0.674 27   4.2927     7.06
##  NP          5.08 0.674 27   3.7027     6.47
## 
## precip = 579:
##  treatment lsmean    SE df lower.CL upper.CL
##  AG          5.85 0.674 27   4.4702     7.23
##  EA         10.87 0.674 27   9.4877    12.25
##  NP          8.93 0.674 27   7.5452    10.31
## 
## precip = 850:
##  treatment lsmean    SE df lower.CL upper.CL
##  AG          3.07 0.674 27   1.6902     4.45
##  EA          4.20 0.674 27   2.8202     5.58
##  NP          1.41 0.674 27   0.0277     2.79
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95
## precip = 472:
##  treatment lsmean    SE df lower.CL upper.CL .group
##  EA          5.67 0.674 27   4.2927     7.06  a    
##  AG          5.56 0.674 27   4.1752     6.94  a    
##  NP          5.08 0.674 27   3.7027     6.47  a    
## 
## precip = 579:
##  treatment lsmean    SE df lower.CL upper.CL .group
##  EA         10.87 0.674 27   9.4877    12.25  a    
##  NP          8.93 0.674 27   7.5452    10.31  a    
##  AG          5.85 0.674 27   4.4702     7.23   b   
## 
## precip = 850:
##  treatment lsmean    SE df lower.CL upper.CL .group
##  EA          4.20 0.674 27   2.8202     5.58  a    
##  AG          3.07 0.674 27   1.6902     4.45  ab   
##  NP          1.41 0.674 27   0.0277     2.79   b   
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## significance level used: alpha = 0.05 
## NOTE: Compact letter displays can be misleading
##       because they show NON-findings rather than findings.
##       Consider using 'pairs()', 'pwpp()', or 'pwpm()' instead.
##   treatment precip  lsmean        SE df   lower.CL upper.CL .group
## 3        EA    472  5.6750 0.6737057 27 4.29267004  7.05733      a
## 1        AG    472  5.5575 0.6737057 27 4.17517004  6.93983      a
## 2        NP    472  5.0850 0.6737057 27 3.70267004  6.46733      a
## 4        EA    579 10.8700 0.6737057 27 9.48767004 12.25233     a 
## 6        NP    579  8.9275 0.6737057 27 7.54517004 10.30983     a 
## 5        AG    579  5.8525 0.6737057 27 4.47017004  7.23483      b
## 9        EA    850  4.2025 0.6737057 27 2.82017004  5.58483     a 
## 7        AG    850  3.0725 0.6737057 27 1.69017004  4.45483     ab
## 8        NP    850  1.4100 0.6737057 27 0.02767004  2.79233      b
##   precip  location treatment  lsmean        SE df   lower.CL upper.CL .group
## 1    472   Tribune        EA  5.6750 0.6737057 27 4.29267004  7.05733      a
## 2    472   Tribune        AG  5.5575 0.6737057 27 4.17517004  6.93983      a
## 3    472   Tribune        NP  5.0850 0.6737057 27 3.70267004  6.46733      a
## 4    579      Hays        EA 10.8700 0.6737057 27 9.48767004 12.25233     a 
## 5    579      Hays        NP  8.9275 0.6737057 27 7.54517004 10.30983     a 
## 6    579      Hays        AG  5.8525 0.6737057 27 4.47017004  7.23483      b
## 7    850 Manhattan        EA  4.2025 0.6737057 27 2.82017004  5.58483     a 
## 8    850 Manhattan        AG  3.0725 0.6737057 27 1.69017004  4.45483     ab
## 9    850 Manhattan        NP  1.4100 0.6737057 27 0.02767004  2.79233      b
##   location_f
## 1    Tribune
## 2    Tribune
## 3    Tribune
## 4       Hays
## 5       Hays
## 6       Hays
## 7  Manhattan
## 8  Manhattan
## 9  Manhattan

4 NRCS Aggregate Graphs

4.1 0-5 cm NRCS minutes

## [1] "0-5 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                   Sum Sq Mean Sq NumDF   DenDF  F value    Pr(>F)    
## treatment        24694.3 12347.2     2 20.3873 291.6684 1.001e-15 ***
## precip             565.5   282.8     2  9.6661   6.6798 0.0150706 *  
## treatment:precip  1324.0   331.0     4 20.3728   7.8188 0.0005496 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##   precip  location treatment    lsmean       SE       df  lower.CL  upper.CL
## 1    472   Tribune        NP 63.965361 3.395653 25.35995 56.976913 70.953809
## 2    472   Tribune        EA 18.059249 3.395653 25.35995 11.070801 25.047697
## 3    472   Tribune        AG  8.551010 3.395653 25.35995  1.562563 15.539458
## 4    579      Hays        NP 79.341536 3.395653 25.35995 72.353089 86.329984
## 5    579      Hays        EA 33.661765 3.395653 25.35995 26.673317 40.650213
## 6    579      Hays        AG  8.396014 3.395653 25.35995  1.407567 15.384462
## 7    850 Manhattan        NP 71.105925 3.395653 25.35995 64.117478 78.094373
## 8    850 Manhattan        EA 45.922074 3.395653 25.35995 38.933627 52.910522
## 9    850 Manhattan        AG  1.474729 3.972346 25.86318 -6.692648  9.642106
##   .group location_f
## 1     a     Tribune
## 2      b    Tribune
## 3      b    Tribune
## 4    a         Hays
## 5     b        Hays
## 6      c       Hays
## 7    a    Manhattan
## 8     b   Manhattan
## 9      c  Manhattan

4.2 5-10 cm NRCS minutes

## [1] "0-5 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                   Sum Sq Mean Sq NumDF DenDF F value    Pr(>F)    
## treatment        16061.5  8030.7     2    26 235.869 < 2.2e-16 ***
## precip            1910.3   955.1     2    26  28.053 3.219e-07 ***
## treatment:precip  2078.9   519.7     4    26  15.264 1.521e-06 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##   precip  location treatment    lsmean       SE df   lower.CL  upper.CL .group
## 1    472   Tribune        NP 35.748582 2.917510 26 29.7515545 41.745610     a 
## 2    472   Tribune        AG  5.721995 2.917510 26 -0.2750325 11.719023      b
## 3    472   Tribune        EA  3.686833 2.917510 26 -2.3101946  9.683861      b
## 4    579      Hays        NP 67.060386 2.917510 26 61.0633580 73.057413     a 
## 5    579      Hays        EA  7.599869 2.917510 26  1.6028410 13.596896      b
## 6    579      Hays        AG  6.400527 2.917510 26  0.4034990 12.397554      b
## 7    850 Manhattan        NP 61.784932 2.917510 26 55.7879043 67.781959    a  
## 8    850 Manhattan        EA 32.138297 2.917510 26 26.1412695 38.135325     b 
## 9    850 Manhattan        AG  4.820744 3.452044 26 -2.2750349 11.916522      c
##   location_f
## 1    Tribune
## 2    Tribune
## 3    Tribune
## 4       Hays
## 5       Hays
## 6       Hays
## 7  Manhattan
## 8  Manhattan
## 9  Manhattan

4.3 10-15 cm NRCS minutes

## [1] "0-5 cm"
## Type III Analysis of Variance Table with Satterthwaite's method
##                  Sum Sq Mean Sq NumDF  DenDF F value    Pr(>F)    
## treatment        7948.8  3974.4     2 21.897 70.2258  2.98e-10 ***
## precip           2336.6  1168.3     2 11.762 20.6433 0.0001421 ***
## treatment:precip 1452.6   363.1     4 21.897  6.4167 0.0014156 ** 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##   precip  location treatment    lsmean       SE       df   lower.CL upper.CL
## 1    472   Tribune        NP 19.990638 3.794838 26.96694 12.2038258 27.77745
## 2    472   Tribune        EA  4.310915 3.794838 26.96694 -3.4758968 12.09773
## 3    472   Tribune        AG  4.156583 3.794838 26.96694 -3.6302288 11.94339
## 4    579      Hays        NP 51.534489 3.794838 26.96694 43.7476771 59.32130
## 5    579      Hays        AG 17.442633 3.794838 26.96694  9.6558211 25.22944
## 6    579      Hays        EA  7.009381 3.794838 26.96694 -0.7774306 14.79619
## 7    850 Manhattan        NP 54.878590 3.794838 26.96694 47.0917776 62.66540
## 8    850 Manhattan        EA 20.871680 3.794838 26.96694 13.0848680 28.65849
## 9    850 Manhattan        AG  9.891704 3.794838 26.96694  2.1048916 17.67852
##   .group location_f
## 1     a     Tribune
## 2      b    Tribune
## 3      b    Tribune
## 4     a        Hays
## 5      b       Hays
## 6      b       Hays
## 7     a   Manhattan
## 8      b  Manhattan
## 9      b  Manhattan

5 Dataframes

##   precip  location treatment     lsmean       SE df  lower.CL  upper.CL .group
## 1    472   Tribune        NP 26.3313434 3.527336 27 19.093849 33.568838     a 
## 2    472   Tribune        EA  8.8448459 3.527336 27  1.607351 16.082341      b
## 3    472   Tribune        AG  8.7304187 3.527336 27  1.492924 15.967914      b
## 4    579      Hays        NP 30.8387700 3.527336 27 23.601275 38.076265     a 
## 5    579      Hays        EA  9.3305850 3.527336 27  2.093090 16.568080      b
## 6    579      Hays        AG  0.9315208 3.527336 27 -6.305974  8.169016      b
## 7    850 Manhattan        NP 25.3077401 3.527336 27 18.070245 32.545235     a 
## 8    850 Manhattan        EA 11.4886335 3.527336 27  4.251139 18.726128      b
## 9    850 Manhattan        AG  1.9782694 3.527336 27 -5.259225  9.215764      b
##   location_f
## 1    Tribune
## 2    Tribune
## 3    Tribune
## 4       Hays
## 5       Hays
## 6       Hays
## 7  Manhattan
## 8  Manhattan
## 9  Manhattan
##   precip  location treatment   lsmean       SE      df  lower.CL upper.CL
## 1    472   Tribune        NP 25.60527 2.634026 25.7468 20.188356 31.02218
## 2    472   Tribune        EA 16.27820 2.634026 25.7468 10.861289 21.69511
## 3    472   Tribune        AG 14.44550 2.634026 25.7468  9.028589 19.86241
## 4    579      Hays        NP 28.53917 2.634026 25.7468 23.122260 33.95608
## 5    579      Hays        EA 22.02193 2.634026 25.7468 16.605020 27.43884
## 6    579      Hays        AG 11.97343 2.634026 25.7468  6.556520 17.39034
## 7    850 Manhattan        NP 37.24528 2.634026 25.7468 31.828368 42.66219
## 8    850 Manhattan        EA 24.97329 2.634026 25.7468 19.556377 30.39020
## 9    850 Manhattan        AG 17.62782 2.634026 25.7468 12.210914 23.04474
##   .group location_f
## 1     a     Tribune
## 2      b    Tribune
## 3      b    Tribune
## 4     a        Hays
## 5     a        Hays
## 6      b       Hays
## 7    a    Manhattan
## 8     b   Manhattan
## 9      c  Manhattan
##   precip  location treatment   lsmean       SE       df  lower.CL upper.CL
## 1    472   Tribune        AG 53.07399 3.736594 22.78911 45.340296 60.80768
## 2    472   Tribune        EA 49.13078 3.736594 22.78911 41.397089 56.86447
## 3    472   Tribune        NP 22.29726 3.736594 22.78911 14.563572 30.03096
## 4    579      Hays        AG 69.79728 3.736594 22.78911 62.063591 77.53098
## 5    579      Hays        EA 47.93665 3.736594 22.78911 40.202952 55.67034
## 6    579      Hays        NP 14.90930 3.736594 22.78911  7.175602 22.64299
## 7    850 Manhattan        AG 61.16504 3.736594 22.78911 53.431345 68.89873
## 8    850 Manhattan        EA 47.38140 3.736594 22.78911 39.647708 55.11509
## 9    850 Manhattan        NP 16.56350 3.736594 22.78911  8.829805 24.29719
##   .group location_f
## 1     a     Tribune
## 2     a     Tribune
## 3      b    Tribune
## 4    a         Hays
## 5     b        Hays
## 6      c       Hays
## 7    a    Manhattan
## 8     b   Manhattan
## 9      c  Manhattan
##   precip  location treatment lsmean        SE df   lower.CL upper.CL .group
## 1    472   Tribune        AG 6.1575 0.7752837 27  4.5667492 7.748251     a 
## 2    472   Tribune        EA 3.9900 0.7752837 27  2.3992492 5.580751     ab
## 3    472   Tribune        NP 1.9500 0.7752837 27  0.3592492 3.540751      b
## 4    579      Hays        AG 5.2825 0.7752837 27  3.6917492 6.873251     a 
## 5    579      Hays        EA 3.3750 0.7752837 27  1.7842492 4.965751     a 
## 6    579      Hays        NP 1.0475 0.7752837 27 -0.5432508 2.638251      b
## 7    850 Manhattan        AG 7.2450 0.7752837 27  5.6542492 8.835751     a 
## 8    850 Manhattan        EA 5.1450 0.7752837 27  3.5542492 6.735751     a 
## 9    850 Manhattan        NP 1.9325 0.7752837 27  0.3417492 3.523251      b
##   location_f
## 1    Tribune
## 2    Tribune
## 3    Tribune
## 4       Hays
## 5       Hays
## 6       Hays
## 7  Manhattan
## 8  Manhattan
## 9  Manhattan
##   precip  location treatment    lsmean       SE df    lower.CL  upper.CL .group
## 1    472   Tribune        NP 19.874634 2.079862 27 15.60710952 24.142159     a 
## 2    472   Tribune        AG  7.158672 2.079862 27  2.89114749 11.426197      b
## 3    472   Tribune        EA  2.303734 2.079862 27 -1.96379035  6.571259      b
## 4    579      Hays        NP 27.933098 2.079862 27 23.66557284 32.200622     a 
## 5    579      Hays        EA  4.312530 2.079862 27  0.04500509  8.580054      b
## 6    579      Hays        AG  1.369402 2.079862 27 -2.89812306  5.636926      b
## 7    850 Manhattan        NP 19.539639 2.079862 27 15.27211447 23.807164     a 
## 8    850 Manhattan        EA  8.197339 2.079862 27  3.92981461 12.464864      b
## 9    850 Manhattan        AG  3.003322 2.079862 27 -1.26420295  7.270846      b
##   location_f
## 1    Tribune
## 2    Tribune
## 3    Tribune
## 4       Hays
## 5       Hays
## 6       Hays
## 7  Manhattan
## 8  Manhattan
## 9  Manhattan
##   precip  location treatment   lsmean       SE       df  lower.CL upper.CL
## 1    472   Tribune        NP 33.76226 4.905017 26.37839 23.686887 43.83763
## 2    472   Tribune        AG 31.38025 4.905017 26.37839 21.304875 41.45562
## 3    472   Tribune        EA 15.88541 4.905017 26.37839  5.810033 25.96078
## 4    579      Hays        EA 29.76832 4.905017 26.37839 19.692944 39.84369
## 5    579      Hays        NP 22.88141 4.905017 26.37839 12.806039 32.95679
## 6    579      Hays        AG 12.44605 4.905017 26.37839  2.370679 22.52143
## 7    850 Manhattan        NP 35.21192 4.905017 26.37839 25.136550 45.28730
## 8    850 Manhattan        EA 31.98805 4.905017 26.37839 21.912672 42.06342
## 9    850 Manhattan        AG 19.00936 4.905017 26.37839  8.933983 29.08473
##   .group location_f
## 1     a     Tribune
## 2     a     Tribune
## 3      b    Tribune
## 4     a        Hays
## 5     ab       Hays
## 6      b       Hays
## 7     a   Manhattan
## 8     ab  Manhattan
## 9      b  Manhattan
##   precip  location treatment   lsmean       SE       df lower.CL upper.CL
## 1    472   Tribune        EA 60.53863 4.905302 20.96793 50.33654 70.74071
## 2    472   Tribune        AG 40.25275 4.905302 20.96793 30.05067 50.45484
## 3    472   Tribune        NP 24.33689 4.905302 20.96793 14.13481 34.53898
## 4    579      Hays        AG 61.04155 4.905302 20.96793 50.83947 71.24364
## 5    579      Hays        EA 47.54742 4.905302 20.96793 37.34533 57.74950
## 6    579      Hays        NP 28.36159 4.905302 20.96793 18.15950 38.56367
## 7    850 Manhattan        AG 60.48042 4.905302 20.96793 50.27834 70.68251
## 8    850 Manhattan        EA 45.04338 4.905302 20.96793 34.84130 55.24547
## 9    850 Manhattan        NP 23.59988 4.905302 20.96793 13.39779 33.80196
##   .group location_f
## 1    a      Tribune
## 2     b     Tribune
## 3      c    Tribune
## 4    a         Hays
## 5     b        Hays
## 6      c       Hays
## 7    a    Manhattan
## 8     b   Manhattan
## 9      c  Manhattan
##   precip  location treatment lsmean       SE df  lower.CL upper.CL .group
## 1    472   Tribune        EA 5.4100 0.671795 27 4.0315905  6.78841     a 
## 2    472   Tribune        AG 4.1075 0.671795 27 2.7290905  5.48591     ab
## 3    472   Tribune        NP 2.1825 0.671795 27 0.8040905  3.56091      b
## 4    579      Hays        AG 8.7775 0.671795 27 7.3990905 10.15591    a  
## 5    579      Hays        EA 3.7775 0.671795 27 2.3990905  5.15591     b 
## 6    579      Hays        NP 1.7575 0.671795 27 0.3790905  3.13591      c
## 7    850 Manhattan        EA 5.0475 0.671795 27 3.6690905  6.42591     a 
## 8    850 Manhattan        AG 4.8125 0.671795 27 3.4340905  6.19091     ab
## 9    850 Manhattan        NP 3.0400 0.671795 27 1.6615905  4.41841      b
##   location_f
## 1    Tribune
## 2    Tribune
## 3    Tribune
## 4       Hays
## 5       Hays
## 6       Hays
## 7  Manhattan
## 8  Manhattan
## 9  Manhattan
##   precip  location treatment    lsmean       SE df   lower.CL  upper.CL .group
## 1    472   Tribune        NP 26.297002 1.901863 27 22.3947003 30.199303     a 
## 2    472   Tribune        AG  7.344079 1.901863 27  3.4417780 11.246381      b
## 3    472   Tribune        EA  3.058975 1.901863 27 -0.8433266  6.961276      b
## 4    579      Hays        NP 23.871558 1.901863 27 19.9692562 27.773859     a 
## 5    579      Hays        EA  2.561610 1.901863 27 -1.3406916  6.463911      b
## 6    579      Hays        AG  1.931631 1.901863 27 -1.9706708  5.833932      b
## 7    850 Manhattan        NP 25.368150 1.901863 27 21.4658488 29.270451     a 
## 8    850 Manhattan        EA  4.378598 1.901863 27  0.4762962  8.280899      b
## 9    850 Manhattan        AG  2.653159 1.901863 27 -1.2491423  6.555460      b
##   location_f
## 1    Tribune
## 2    Tribune
## 3    Tribune
## 4       Hays
## 5       Hays
## 6       Hays
## 7  Manhattan
## 8  Manhattan
## 9  Manhattan
##   precip  location treatment   lsmean       SE       df  lower.CL upper.CL
## 1    472   Tribune        NP 31.52114 5.299915 24.42448 20.592709 42.44958
## 2    472   Tribune        AG 27.33366 5.299915 24.42448 16.405226 38.26210
## 3    472   Tribune        EA 15.88228 5.299915 24.42448  4.953841 26.81071
## 4    579      Hays        AG 32.94085 5.299915 24.42448 22.012414 43.86929
## 5    579      Hays        NP 23.26334 5.299915 24.42448 12.334906 34.19178
## 6    579      Hays        EA 18.86667 5.299915 24.42448  7.938236 29.79511
## 7    850 Manhattan        NP 37.56309 5.299915 24.42448 26.634649 48.49152
## 8    850 Manhattan        AG 29.49422 5.299915 24.42448 18.565782 40.42265
## 9    850 Manhattan        EA 25.79500 5.299915 24.42448 14.866564 36.72344
##   .group location_f
## 1     a     Tribune
## 2     ab    Tribune
## 3      b    Tribune
## 4      a       Hays
## 5      a       Hays
## 6      a       Hays
## 7      a  Manhattan
## 8      a  Manhattan
## 9      a  Manhattan
##   precip  location treatment   lsmean       SE      df  lower.CL upper.CL
## 1    472   Tribune        EA 51.12957 5.586198 26.3469 39.654327 62.60481
## 2    472   Tribune        AG 43.85542 5.586198 26.3469 32.380181 55.33066
## 3    472   Tribune        NP 20.87374 5.586198 26.3469  9.398503 32.34898
## 4    579      Hays        EA 59.98533 5.586198 26.3469 48.510085 71.46056
## 5    579      Hays        AG 44.03529 5.586198 26.3469 32.560046 55.51053
## 6    579      Hays        NP 32.68928 5.586198 26.3469 21.214043 44.16452
## 7    850 Manhattan        AG 54.04183 5.586198 26.3469 42.566587 65.51707
## 8    850 Manhattan        EA 52.36527 5.586198 26.3469 40.890028 63.84051
## 9    850 Manhattan        NP 19.45423 5.586198 26.3469  7.978991 30.92947
##   .group location_f
## 1     a     Tribune
## 2     a     Tribune
## 3      b    Tribune
## 4     a        Hays
## 5      b       Hays
## 6      b       Hays
## 7     a   Manhattan
## 8     a   Manhattan
## 9      b  Manhattan
##   precip  location treatment lsmean       SE       df   lower.CL  upper.CL
## 1    472   Tribune        EA 8.4225 1.094354 22.58634  6.1563605 10.688639
## 2    472   Tribune        AG 4.4125 1.094354 22.58634  2.1463605  6.678639
## 3    472   Tribune        NP 1.6150 1.094354 22.58634 -0.6511395  3.881139
## 4    579      Hays        AG 7.8275 1.094354 22.58634  5.5613605 10.093639
## 5    579      Hays        EA 5.5625 1.094354 22.58634  3.2963605  7.828639
## 6    579      Hays        NP 2.4400 1.094354 22.58634  0.1738605  4.706139
## 7    850 Manhattan        EA 6.9400 1.094354 22.58634  4.6738605  9.206139
## 8    850 Manhattan        AG 3.4700 1.094354 22.58634  1.2038605  5.736139
## 9    850 Manhattan        NP 1.7325 1.094354 22.58634 -0.5336395  3.998639
##   .group location_f
## 1     a     Tribune
## 2      b    Tribune
## 3      b    Tribune
## 4     a        Hays
## 5     a        Hays
## 6      b       Hays
## 7     a   Manhattan
## 8      b  Manhattan
## 9      b  Manhattan
##   precip  location treatment    lsmean       SE       df  lower.CL  upper.CL
## 1    472   Tribune        EA 10.186894 2.267247 21.87134  5.483308 14.890481
## 2    472   Tribune        NP  8.822787 2.267247 21.87134  4.119200 13.526373
## 3    472   Tribune        AG  6.619284 2.267247 21.87134  1.915697 11.322870
## 4    579      Hays        NP 44.065476 2.267247 21.87134 39.361889 48.769062
## 5    579      Hays        EA 25.901540 2.267247 21.87134 21.197953 30.605126
## 6    579      Hays        AG  1.563937 2.267247 21.87134 -3.139650  6.267523
## 7    850 Manhattan        NP 25.434619 2.267247 21.87134 20.731032 30.138205
## 8    850 Manhattan        EA 14.241278 2.267247 21.87134  9.537691 18.944864
## 9    850 Manhattan        AG  2.857780 2.267247 21.87134 -1.845807  7.561367
##   .group location_f
## 1      a    Tribune
## 2      a    Tribune
## 3      a    Tribune
## 4    a         Hays
## 5     b        Hays
## 6      c       Hays
## 7    a    Manhattan
## 8     b   Manhattan
## 9      c  Manhattan
##   precip  location treatment    lsmean       SE       df  lower.CL upper.CL
## 1    472   Tribune        EA 29.018520 3.940058 26.52673 20.927435 37.10960
## 2    472   Tribune        NP 27.005202 3.940058 26.52673 18.914117 35.09629
## 3    472   Tribune        AG  9.931781 3.940058 26.52673  1.840697 18.02287
## 4    579      Hays        NP 32.570016 3.940058 26.52673 24.478931 40.66110
## 5    579      Hays        AG 27.649027 3.940058 26.52673 19.557942 35.74011
## 6    579      Hays        EA 26.595305 3.940058 26.52673 18.504220 34.68639
## 7    850 Manhattan        NP 44.262281 3.940058 26.52673 36.171196 52.35337
## 8    850 Manhattan        EA 31.323713 3.940058 26.52673 23.232629 39.41480
## 9    850 Manhattan        AG 28.049438 3.940058 26.52673 19.958353 36.14052
##   .group location_f
## 1     a     Tribune
## 2     a     Tribune
## 3      b    Tribune
## 4      a       Hays
## 5      a       Hays
## 6      a       Hays
## 7     a   Manhattan
## 8      b  Manhattan
## 9      b  Manhattan
##   precip  location treatment   lsmean       SE       df  lower.CL upper.CL
## 1    472   Tribune        AG 51.28463 4.308961 26.93583 42.442385 60.12687
## 2    472   Tribune        EA 35.12016 4.308961 26.93583 26.277920 43.96241
## 3    472   Tribune        NP 23.41428 4.308961 26.93583 14.572037 32.25652
## 4    579      Hays        AG 46.22015 4.308961 26.93583 37.377911 55.06240
## 5    579      Hays        EA 39.81846 4.308961 26.93583 30.976213 48.66070
## 6    579      Hays        NP 18.92336 4.308961 26.93583 10.081112 27.76560
## 7    850 Manhattan        AG 52.78271 4.308961 26.93583 43.940465 61.62495
## 8    850 Manhattan        EA 30.85960 4.308961 26.93583 22.017359 39.70184
## 9    850 Manhattan        NP 12.95212 4.308961 26.93583  4.109876 21.79436
##   .group location_f
## 1     a     Tribune
## 2      b    Tribune
## 3      b    Tribune
## 4     a        Hays
## 5     a        Hays
## 6      b       Hays
## 7    a    Manhattan
## 8     b   Manhattan
## 9      c  Manhattan
##   precip  location treatment    lsmean       SE df     lower.CL  upper.CL
## 1    472   Tribune        AG  6.822500 2.423439 27  1.850013269 11.794987
## 2    472   Tribune        NP  5.255000 2.423439 27  0.282513269 10.227487
## 3    472   Tribune        EA  4.965000 2.423439 27 -0.007486731  9.937487
## 4    579      Hays        EA 16.817500 2.423439 27 11.845013269 21.789987
## 5    579      Hays        NP  8.617500 2.423439 27  3.645013269 13.589987
## 6    579      Hays        AG  6.052500 2.423439 27  1.080013269 11.024987
## 7    850 Manhattan        AG  3.980000 2.423439 27 -0.992486731  8.952487
## 8    850 Manhattan        EA  3.775000 2.423439 27 -1.197486731  8.747487
## 9    850 Manhattan        NP  1.433954 2.423439 27 -3.538532696  6.406441
##   .group location_f
## 1      a    Tribune
## 2      a    Tribune
## 3      a    Tribune
## 4     a        Hays
## 5      b       Hays
## 6      b       Hays
## 7      a  Manhattan
## 8      a  Manhattan
## 9      a  Manhattan
##   precip  location treatment    lsmean       SE       df  lower.CL  upper.CL
## 1    472   Tribune        NP  7.784108 2.481473 26.41131  2.687230 12.880986
## 2    472   Tribune        AG  7.358129 2.481473 26.41131  2.261251 12.455007
## 3    472   Tribune        EA  3.989024 2.481473 26.41131 -1.107854  9.085902
## 4    579      Hays        NP 47.950775 2.481473 26.41131 42.853897 53.047653
## 5    579      Hays        EA 10.999532 2.481473 26.41131  5.902654 16.096410
## 6    579      Hays        AG  3.551578 2.481473 26.41131 -1.545301  8.648456
## 7    850 Manhattan        NP 27.719093 2.481473 26.41131 22.622215 32.815972
## 8    850 Manhattan        EA 18.601440 2.481473 26.41131 13.504562 23.698318
## 9    850 Manhattan        AG  4.704605 2.481473 26.41131 -0.392273  9.801483
##   .group location_f
## 1      a    Tribune
## 2      a    Tribune
## 3      a    Tribune
## 4    a         Hays
## 5     b        Hays
## 6      c       Hays
## 7    a    Manhattan
## 8     b   Manhattan
## 9      c  Manhattan
##   precip  location treatment   lsmean       SE       df  lower.CL upper.CL
## 1    472   Tribune        NP 36.00030 4.391035 26.94418 26.989762 45.01083
## 2    472   Tribune        EA 17.12701 4.391035 26.94418  8.116474 26.13754
## 3    472   Tribune        AG 15.92634 4.391035 26.94418  6.915812 24.93688
## 4    579      Hays        EA 38.08866 4.391035 26.94418 29.078132 47.09920
## 5    579      Hays        NP 37.44081 4.391035 26.94418 28.430276 46.45134
## 6    579      Hays        AG 16.11014 4.391035 26.94418  7.099607 25.12067
## 7    850 Manhattan        NP 44.20709 4.391035 26.94418 35.196554 53.21762
## 8    850 Manhattan        AG 41.27775 4.391035 26.94418 32.267214 50.28828
## 9    850 Manhattan        EA 37.56607 4.391035 26.94418 28.555534 46.57660
##   .group location_f
## 1     a     Tribune
## 2      b    Tribune
## 3      b    Tribune
## 4     a        Hays
## 5     a        Hays
## 6      b       Hays
## 7      a  Manhattan
## 8      a  Manhattan
## 9      a  Manhattan
##   precip  location treatment   lsmean       SE       df  lower.CL upper.CL
## 1    472   Tribune        EA 56.26802 4.646506 26.97369 46.733745 65.80230
## 2    472   Tribune        AG 48.79037 4.646506 26.97369 39.256094 58.32465
## 3    472   Tribune        NP 28.54305 4.646506 26.97369 19.008772 38.07733
## 4    579      Hays        AG 53.84427 4.646506 26.97369 44.309997 63.37855
## 5    579      Hays        EA 52.73937 4.646506 26.97369 43.205095 62.27365
## 6    579      Hays        NP 26.00424 4.646506 26.97369 16.469966 35.53852
## 7    850 Manhattan        AG 42.54411 4.646506 26.97369 33.009834 52.07839
## 8    850 Manhattan        EA 23.87843 4.646506 26.97369 14.344149 33.41270
## 9    850 Manhattan        NP 12.82837 4.646506 26.97369  3.294094 22.36265
##   .group location_f
## 1     a     Tribune
## 2     a     Tribune
## 3      b    Tribune
## 4     a        Hays
## 5     a        Hays
## 6      b       Hays
## 7     a   Manhattan
## 8      b  Manhattan
## 9      b  Manhattan
##   precip  location treatment  lsmean        SE df   lower.CL  upper.CL .group
## 1    472   Tribune        AG  7.5800 0.9417107 27  5.6477693  9.512231      a
## 2    472   Tribune        EA  6.5025 0.9417107 27  4.5702693  8.434731      a
## 3    472   Tribune        NP  4.8950 0.9417107 27  2.9627693  6.827231      a
## 4    579      Hays        EA 11.5525 0.9417107 27  9.6202693 13.484731     a 
## 5    579      Hays        NP  9.0175 0.9417107 27  7.0852693 10.949731     a 
## 6    579      Hays        AG  5.6325 0.9417107 27  3.7002693  7.564731      b
## 7    850 Manhattan        EA  4.2475 0.9417107 27  2.3152693  6.179731      a
## 8    850 Manhattan        AG  2.2525 0.9417107 27  0.3202693  4.184731      a
## 9    850 Manhattan        NP  1.7150 0.9417107 27 -0.2172307  3.647231      a
##   location_f
## 1    Tribune
## 2    Tribune
## 3    Tribune
## 4       Hays
## 5       Hays
## 6       Hays
## 7  Manhattan
## 8  Manhattan
## 9  Manhattan
##   precip  location treatment    lsmean       SE df   lower.CL upper.CL .group
## 1    472   Tribune        NP 14.583834 4.005528 27  6.3651697 22.80250      a
## 2    472   Tribune        AG  6.606750 4.005528 27 -1.6119142 14.82541      a
## 3    472   Tribune        EA  6.572290 4.005528 27 -1.6463741 14.79095      a
## 4    579      Hays        NP 40.495560 4.005528 27 32.2768962 48.71422     a 
## 5    579      Hays        AG 11.637256 4.005528 27  3.4185919 19.85592      b
## 6    579      Hays        EA  7.687615 4.005528 27 -0.5310489 15.90628      b
## 7    850 Manhattan        NP 26.750084 4.005528 27 18.5314199 34.96875     a 
## 8    850 Manhattan        EA 15.118422 4.005528 27  6.8997576 23.33709     ab
## 9    850 Manhattan        AG  4.467970 4.005528 27 -3.7506942 12.68663      b
##   location_f
## 1    Tribune
## 2    Tribune
## 3    Tribune
## 4       Hays
## 5       Hays
## 6       Hays
## 7  Manhattan
## 8  Manhattan
## 9  Manhattan
##   precip  location treatment   lsmean       SE df  lower.CL upper.CL .group
## 1    472   Tribune        EA 32.71524 5.772062 27 20.871950 44.55854      a
## 2    472   Tribune        AG 19.59991 5.772062 27  7.756621 31.44321      a
## 3    472   Tribune        NP 18.03246 5.772062 27  6.189164 29.87575      a
## 4    579      Hays        EA 45.46467 5.772062 27 33.621372 57.30796      a
## 5    579      Hays        NP 32.09403 5.772062 27 20.250733 43.93732      a
## 6    579      Hays        AG 32.00845 5.772062 27 20.165157 43.85174      a
## 7    850 Manhattan        AG 52.68674 5.772062 27 40.843442 64.53003      a
## 8    850 Manhattan        NP 37.69254 5.772062 27 25.849249 49.53584      a
## 9    850 Manhattan        EA 36.01735 5.772062 27 24.174053 47.86064      a
##   location_f
## 1    Tribune
## 2    Tribune
## 3    Tribune
## 4       Hays
## 5       Hays
## 6       Hays
## 7  Manhattan
## 8  Manhattan
## 9  Manhattan
##   precip  location treatment   lsmean       SE df  lower.CL upper.CL .group
## 1    472   Tribune        AG 54.06194 5.790714 27 42.180374 65.94350     a 
## 2    472   Tribune        EA 41.10064 5.790714 27 29.219080 52.98221     ab
## 3    472   Tribune        NP 33.01473 5.790714 27 21.133171 44.89630      b
## 4    579      Hays        EA 49.59674 5.790714 27 37.715174 61.47830     a 
## 5    579      Hays        AG 32.26746 5.790714 27 20.385893 44.14902      b
## 6    579      Hays        NP 26.41757 5.790714 27 14.536007 38.29913      b
## 7    850 Manhattan        AG 33.09569 5.790714 27 21.214123 44.97725      a
## 8    850 Manhattan        EA 29.54047 5.790714 27 17.658910 41.42204      a
## 9    850 Manhattan        NP 20.06624 5.790714 27  8.184675 31.94780      a
##   location_f
## 1    Tribune
## 2    Tribune
## 3    Tribune
## 4       Hays
## 5       Hays
## 6       Hays
## 7  Manhattan
## 8  Manhattan
## 9  Manhattan
##   precip  location treatment  lsmean        SE df   lower.CL upper.CL .group
## 1    472   Tribune        EA  5.6750 0.6737057 27 4.29267004  7.05733      a
## 2    472   Tribune        AG  5.5575 0.6737057 27 4.17517004  6.93983      a
## 3    472   Tribune        NP  5.0850 0.6737057 27 3.70267004  6.46733      a
## 4    579      Hays        EA 10.8700 0.6737057 27 9.48767004 12.25233     a 
## 5    579      Hays        NP  8.9275 0.6737057 27 7.54517004 10.30983     a 
## 6    579      Hays        AG  5.8525 0.6737057 27 4.47017004  7.23483      b
## 7    850 Manhattan        EA  4.2025 0.6737057 27 2.82017004  5.58483     a 
## 8    850 Manhattan        AG  3.0725 0.6737057 27 1.69017004  4.45483     ab
## 9    850 Manhattan        NP  1.4100 0.6737057 27 0.02767004  2.79233      b
##   location_f
## 1    Tribune
## 2    Tribune
## 3    Tribune
## 4       Hays
## 5       Hays
## 6       Hays
## 7  Manhattan
## 8  Manhattan
## 9  Manhattan
##   precip  location treatment    lsmean       SE       df  lower.CL  upper.CL
## 1    472   Tribune        NP 63.965361 3.395653 25.35995 56.976913 70.953809
## 2    472   Tribune        EA 18.059249 3.395653 25.35995 11.070801 25.047697
## 3    472   Tribune        AG  8.551010 3.395653 25.35995  1.562563 15.539458
## 4    579      Hays        NP 79.341536 3.395653 25.35995 72.353089 86.329984
## 5    579      Hays        EA 33.661765 3.395653 25.35995 26.673317 40.650213
## 6    579      Hays        AG  8.396014 3.395653 25.35995  1.407567 15.384462
## 7    850 Manhattan        NP 71.105925 3.395653 25.35995 64.117478 78.094373
## 8    850 Manhattan        EA 45.922074 3.395653 25.35995 38.933627 52.910522
## 9    850 Manhattan        AG  1.474729 3.972346 25.86318 -6.692648  9.642106
##   .group location_f
## 1     a     Tribune
## 2      b    Tribune
## 3      b    Tribune
## 4    a         Hays
## 5     b        Hays
## 6      c       Hays
## 7    a    Manhattan
## 8     b   Manhattan
## 9      c  Manhattan
##   precip  location treatment    lsmean       SE df   lower.CL  upper.CL .group
## 1    472   Tribune        NP 35.748582 2.917510 26 29.7515545 41.745610     a 
## 2    472   Tribune        AG  5.721995 2.917510 26 -0.2750325 11.719023      b
## 3    472   Tribune        EA  3.686833 2.917510 26 -2.3101946  9.683861      b
## 4    579      Hays        NP 67.060386 2.917510 26 61.0633580 73.057413     a 
## 5    579      Hays        EA  7.599869 2.917510 26  1.6028410 13.596896      b
## 6    579      Hays        AG  6.400527 2.917510 26  0.4034990 12.397554      b
## 7    850 Manhattan        NP 61.784932 2.917510 26 55.7879043 67.781959    a  
## 8    850 Manhattan        EA 32.138297 2.917510 26 26.1412695 38.135325     b 
## 9    850 Manhattan        AG  4.820744 3.452044 26 -2.2750349 11.916522      c
##   location_f
## 1    Tribune
## 2    Tribune
## 3    Tribune
## 4       Hays
## 5       Hays
## 6       Hays
## 7  Manhattan
## 8  Manhattan
## 9  Manhattan
##   precip  location treatment    lsmean       SE       df   lower.CL upper.CL
## 1    472   Tribune        NP 19.990638 3.794838 26.96694 12.2038258 27.77745
## 2    472   Tribune        EA  4.310915 3.794838 26.96694 -3.4758968 12.09773
## 3    472   Tribune        AG  4.156583 3.794838 26.96694 -3.6302288 11.94339
## 4    579      Hays        NP 51.534489 3.794838 26.96694 43.7476771 59.32130
## 5    579      Hays        AG 17.442633 3.794838 26.96694  9.6558211 25.22944
## 6    579      Hays        EA  7.009381 3.794838 26.96694 -0.7774306 14.79619
## 7    850 Manhattan        NP 54.878590 3.794838 26.96694 47.0917776 62.66540
## 8    850 Manhattan        EA 20.871680 3.794838 26.96694 13.0848680 28.65849
## 9    850 Manhattan        AG  9.891704 3.794838 26.96694  2.1048916 17.67852
##   .group location_f
## 1     a     Tribune
## 2      b    Tribune
## 3      b    Tribune
## 4     a        Hays
## 5      b       Hays
## 6      b       Hays
## 7     a   Manhattan
## 8      b  Manhattan
## 9      b  Manhattan

6 Adding location x to data frame

##   treatment precip  location     lsmean       SE df  lower.CL  upper.CL .group
## 1        AG    579      Hays  0.9315208 3.527336 27 -6.305974  8.169016      b
## 2        AG    472   Tribune  8.7304187 3.527336 27  1.492924 15.967914      b
## 3        AG    850 Manhattan  1.9782694 3.527336 27 -5.259225  9.215764      b
## 4        EA    472   Tribune  8.8448459 3.527336 27  1.607351 16.082341      b
## 5        EA    579      Hays  9.3305850 3.527336 27  2.093090 16.568080      b
## 6        EA    850 Manhattan 11.4886335 3.527336 27  4.251139 18.726128      b
## 7        NP    472   Tribune 26.3313434 3.527336 27 19.093849 33.568838     a 
## 8        NP    850 Manhattan 25.3077401 3.527336 27 18.070245 32.545235     a 
## 9        NP    579      Hays 30.8387700 3.527336 27 23.601275 38.076265     a 
##   location_f xloc
## 1       Hays   .7
## 2    Tribune   .7
## 3  Manhattan   .7
## 4    Tribune    1
## 5       Hays    1
## 6  Manhattan    1
## 7    Tribune  1.3
## 8  Manhattan  1.3
## 9       Hays  1.3
##   treatment precip  location    lsmean       SE df    lower.CL  upper.CL .group
## 1        AG    472   Tribune  7.158672 2.079862 27  2.89114749 11.426197      b
## 2        AG    850 Manhattan  3.003322 2.079862 27 -1.26420295  7.270846      b
## 3        AG    579      Hays  1.369402 2.079862 27 -2.89812306  5.636926      b
## 4        EA    472   Tribune  2.303734 2.079862 27 -1.96379035  6.571259      b
## 5        EA    850 Manhattan  8.197339 2.079862 27  3.92981461 12.464864      b
## 6        EA    579      Hays  4.312530 2.079862 27  0.04500509  8.580054      b
## 7        NP    472   Tribune 19.874634 2.079862 27 15.60710952 24.142159     a 
## 8        NP    850 Manhattan 19.539639 2.079862 27 15.27211447 23.807164     a 
## 9        NP    579      Hays 27.933098 2.079862 27 23.66557284 32.200622     a 
##   location_f xloc
## 1    Tribune   .7
## 2  Manhattan   .7
## 3       Hays   .7
## 4    Tribune    1
## 5  Manhattan    1
## 6       Hays    1
## 7    Tribune  1.3
## 8  Manhattan  1.3
## 9       Hays  1.3
##   treatment precip  location    lsmean       SE df   lower.CL  upper.CL .group
## 1        AG    472   Tribune  7.344079 1.901863 27  3.4417780 11.246381      b
## 2        AG    850 Manhattan  2.653159 1.901863 27 -1.2491423  6.555460      b
## 3        AG    579      Hays  1.931631 1.901863 27 -1.9706708  5.833932      b
## 4        EA    472   Tribune  3.058975 1.901863 27 -0.8433266  6.961276      b
## 5        EA    850 Manhattan  4.378598 1.901863 27  0.4762962  8.280899      b
## 6        EA    579      Hays  2.561610 1.901863 27 -1.3406916  6.463911      b
## 7        NP    472   Tribune 26.297002 1.901863 27 22.3947003 30.199303     a 
## 8        NP    850 Manhattan 25.368150 1.901863 27 21.4658488 29.270451     a 
## 9        NP    579      Hays 23.871558 1.901863 27 19.9692562 27.773859     a 
##   location_f xloc
## 1    Tribune   .7
## 2  Manhattan   .7
## 3       Hays   .7
## 4    Tribune    1
## 5  Manhattan    1
## 6       Hays    1
## 7    Tribune  1.3
## 8  Manhattan  1.3
## 9       Hays  1.3
##   treatment precip  location    lsmean       SE       df  lower.CL  upper.CL
## 1        AG    579      Hays  1.563937 2.267247 21.87134 -3.139650  6.267523
## 2        AG    472   Tribune  6.619284 2.267247 21.87134  1.915697 11.322870
## 3        AG    850 Manhattan  2.857780 2.267247 21.87134 -1.845807  7.561367
## 4        EA    472   Tribune 10.186894 2.267247 21.87134  5.483308 14.890481
## 5        EA    850 Manhattan 14.241278 2.267247 21.87134  9.537691 18.944864
## 6        EA    579      Hays 25.901540 2.267247 21.87134 21.197953 30.605126
## 7        NP    472   Tribune  8.822787 2.267247 21.87134  4.119200 13.526373
## 8        NP    850 Manhattan 25.434619 2.267247 21.87134 20.731032 30.138205
## 9        NP    579      Hays 44.065476 2.267247 21.87134 39.361889 48.769062
##   .group location_f xloc
## 1      c       Hays   .7
## 2      a    Tribune   .7
## 3      c  Manhattan   .7
## 4      a    Tribune    1
## 5     b   Manhattan    1
## 6     b        Hays    1
## 7      a    Tribune  1.3
## 8    a    Manhattan  1.3
## 9    a         Hays  1.3
##   treatment precip  location    lsmean       SE       df  lower.CL  upper.CL
## 1        AG    472   Tribune  7.358129 2.481473 26.41131  2.261251 12.455007
## 2        AG    850 Manhattan  4.704605 2.481473 26.41131 -0.392273  9.801483
## 3        AG    579      Hays  3.551578 2.481473 26.41131 -1.545301  8.648456
## 4        EA    472   Tribune  3.989024 2.481473 26.41131 -1.107854  9.085902
## 5        EA    850 Manhattan 18.601440 2.481473 26.41131 13.504562 23.698318
## 6        EA    579      Hays 10.999532 2.481473 26.41131  5.902654 16.096410
## 7        NP    472   Tribune  7.784108 2.481473 26.41131  2.687230 12.880986
## 8        NP    850 Manhattan 27.719093 2.481473 26.41131 22.622215 32.815972
## 9        NP    579      Hays 47.950775 2.481473 26.41131 42.853897 53.047653
##   .group location_f xloc
## 1      a    Tribune   .7
## 2      c  Manhattan   .7
## 3      c       Hays   .7
## 4      a    Tribune    1
## 5     b   Manhattan    1
## 6     b        Hays    1
## 7      a    Tribune  1.3
## 8    a    Manhattan  1.3
## 9    a         Hays  1.3
##   treatment precip  location    lsmean       SE df   lower.CL upper.CL .group
## 1        AG    472   Tribune  6.606750 4.005528 27 -1.6119142 14.82541      a
## 2        AG    579      Hays 11.637256 4.005528 27  3.4185919 19.85592      b
## 3        AG    850 Manhattan  4.467970 4.005528 27 -3.7506942 12.68663      b
## 4        EA    579      Hays  7.687615 4.005528 27 -0.5310489 15.90628      b
## 5        EA    472   Tribune  6.572290 4.005528 27 -1.6463741 14.79095      a
## 6        EA    850 Manhattan 15.118422 4.005528 27  6.8997576 23.33709     ab
## 7        NP    472   Tribune 14.583834 4.005528 27  6.3651697 22.80250      a
## 8        NP    850 Manhattan 26.750084 4.005528 27 18.5314199 34.96875     a 
## 9        NP    579      Hays 40.495560 4.005528 27 32.2768962 48.71422     a 
##   location_f xloc
## 1    Tribune   .7
## 2       Hays   .7
## 3  Manhattan   .7
## 4       Hays    1
## 5    Tribune    1
## 6  Manhattan    1
## 7    Tribune  1.3
## 8  Manhattan  1.3
## 9       Hays  1.3
##   treatment precip  location   lsmean       SE      df  lower.CL upper.CL
## 1        AG    579      Hays 11.97343 2.634026 25.7468  6.556520 17.39034
## 2        AG    472   Tribune 14.44550 2.634026 25.7468  9.028589 19.86241
## 3        AG    850 Manhattan 17.62782 2.634026 25.7468 12.210914 23.04474
## 4        EA    472   Tribune 16.27820 2.634026 25.7468 10.861289 21.69511
## 5        EA    579      Hays 22.02193 2.634026 25.7468 16.605020 27.43884
## 6        EA    850 Manhattan 24.97329 2.634026 25.7468 19.556377 30.39020
## 7        NP    472   Tribune 25.60527 2.634026 25.7468 20.188356 31.02218
## 8        NP    850 Manhattan 37.24528 2.634026 25.7468 31.828368 42.66219
## 9        NP    579      Hays 28.53917 2.634026 25.7468 23.122260 33.95608
##   .group location_f xloc
## 1      b       Hays  1.7
## 2      b    Tribune  1.7
## 3      c  Manhattan  1.7
## 4      b    Tribune    2
## 5     a        Hays    2
## 6     b   Manhattan    2
## 7     a     Tribune  2.3
## 8    a    Manhattan  2.3
## 9     a        Hays  2.3
##   treatment precip  location   lsmean       SE       df  lower.CL upper.CL
## 1        AG    472   Tribune 31.38025 4.905017 26.37839 21.304875 41.45562
## 2        AG    579      Hays 12.44605 4.905017 26.37839  2.370679 22.52143
## 3        AG    850 Manhattan 19.00936 4.905017 26.37839  8.933983 29.08473
## 4        EA    579      Hays 29.76832 4.905017 26.37839 19.692944 39.84369
## 5        EA    472   Tribune 15.88541 4.905017 26.37839  5.810033 25.96078
## 6        EA    850 Manhattan 31.98805 4.905017 26.37839 21.912672 42.06342
## 7        NP    472   Tribune 33.76226 4.905017 26.37839 23.686887 43.83763
## 8        NP    850 Manhattan 35.21192 4.905017 26.37839 25.136550 45.28730
## 9        NP    579      Hays 22.88141 4.905017 26.37839 12.806039 32.95679
##   .group location_f xloc
## 1     a     Tribune  1.7
## 2      b       Hays  1.7
## 3      b  Manhattan  1.7
## 4     a        Hays    2
## 5      b    Tribune    2
## 6     ab  Manhattan    2
## 7     a     Tribune  2.3
## 8     a   Manhattan  2.3
## 9     ab       Hays  2.3
##   treatment precip  location   lsmean       SE       df  lower.CL upper.CL
## 1        AG    472   Tribune 27.33366 5.299915 24.42448 16.405226 38.26210
## 2        AG    579      Hays 32.94085 5.299915 24.42448 22.012414 43.86929
## 3        AG    850 Manhattan 29.49422 5.299915 24.42448 18.565782 40.42265
## 4        EA    579      Hays 18.86667 5.299915 24.42448  7.938236 29.79511
## 5        EA    472   Tribune 15.88228 5.299915 24.42448  4.953841 26.81071
## 6        EA    850 Manhattan 25.79500 5.299915 24.42448 14.866564 36.72344
## 7        NP    472   Tribune 31.52114 5.299915 24.42448 20.592709 42.44958
## 8        NP    850 Manhattan 37.56309 5.299915 24.42448 26.634649 48.49152
## 9        NP    579      Hays 23.26334 5.299915 24.42448 12.334906 34.19178
##   .group location_f xloc
## 1     ab    Tribune  1.7
## 2      a       Hays  1.7
## 3      a  Manhattan  1.7
## 4      a       Hays    2
## 5      b    Tribune    2
## 6      a  Manhattan    2
## 7     a     Tribune  2.3
## 8      a  Manhattan  2.3
## 9      a       Hays  2.3
##   treatment precip  location    lsmean       SE       df  lower.CL upper.CL
## 1        AG    579      Hays 27.649027 3.940058 26.52673 19.557942 35.74011
## 2        AG    472   Tribune  9.931781 3.940058 26.52673  1.840697 18.02287
## 3        AG    850 Manhattan 28.049438 3.940058 26.52673 19.958353 36.14052
## 4        EA    472   Tribune 29.018520 3.940058 26.52673 20.927435 37.10960
## 5        EA    579      Hays 26.595305 3.940058 26.52673 18.504220 34.68639
## 6        EA    850 Manhattan 31.323713 3.940058 26.52673 23.232629 39.41480
## 7        NP    850 Manhattan 44.262281 3.940058 26.52673 36.171196 52.35337
## 8        NP    472   Tribune 27.005202 3.940058 26.52673 18.914117 35.09629
## 9        NP    579      Hays 32.570016 3.940058 26.52673 24.478931 40.66110
##   .group location_f xloc
## 1      a       Hays  1.7
## 2      b    Tribune  1.7
## 3      b  Manhattan  1.7
## 4     a     Tribune    2
## 5      a       Hays    2
## 6      b  Manhattan    2
## 7     a   Manhattan  2.3
## 8     a     Tribune  2.3
## 9      a       Hays  2.3
##   treatment precip  location   lsmean       SE       df  lower.CL upper.CL
## 1        AG    579      Hays 16.11014 4.391035 26.94418  7.099607 25.12067
## 2        AG    472   Tribune 15.92634 4.391035 26.94418  6.915812 24.93688
## 3        AG    850 Manhattan 41.27775 4.391035 26.94418 32.267214 50.28828
## 4        EA    472   Tribune 17.12701 4.391035 26.94418  8.116474 26.13754
## 5        EA    579      Hays 38.08866 4.391035 26.94418 29.078132 47.09920
## 6        EA    850 Manhattan 37.56607 4.391035 26.94418 28.555534 46.57660
## 7        NP    472   Tribune 36.00030 4.391035 26.94418 26.989762 45.01083
## 8        NP    850 Manhattan 44.20709 4.391035 26.94418 35.196554 53.21762
## 9        NP    579      Hays 37.44081 4.391035 26.94418 28.430276 46.45134
##   .group location_f xloc
## 1      b       Hays  1.7
## 2      b    Tribune  1.7
## 3      a  Manhattan  1.7
## 4      b    Tribune    2
## 5     a        Hays    2
## 6      a  Manhattan    2
## 7     a     Tribune  2.3
## 8      a  Manhattan  2.3
## 9     a        Hays  2.3
##   treatment precip  location   lsmean       SE df  lower.CL upper.CL .group
## 1        AG    472   Tribune 19.59991 5.772062 27  7.756621 31.44321      a
## 2        AG    850 Manhattan 52.68674 5.772062 27 40.843442 64.53003      a
## 3        AG    579      Hays 32.00845 5.772062 27 20.165157 43.85174      a
## 4        EA    472   Tribune 32.71524 5.772062 27 20.871950 44.55854      a
## 5        EA    579      Hays 45.46467 5.772062 27 33.621372 57.30796      a
## 6        EA    850 Manhattan 36.01735 5.772062 27 24.174053 47.86064      a
## 7        NP    472   Tribune 18.03246 5.772062 27  6.189164 29.87575      a
## 8        NP    850 Manhattan 37.69254 5.772062 27 25.849249 49.53584      a
## 9        NP    579      Hays 32.09403 5.772062 27 20.250733 43.93732      a
##   location_f xloc
## 1    Tribune  1.7
## 2  Manhattan  1.7
## 3       Hays  1.7
## 4    Tribune    2
## 5       Hays    2
## 6  Manhattan    2
## 7    Tribune  2.3
## 8  Manhattan  2.3
## 9       Hays  2.3
##   treatment precip  location   lsmean       SE       df  lower.CL upper.CL
## 1        AG    472   Tribune 53.07399 3.736594 22.78911 45.340296 60.80768
## 2        AG    850 Manhattan 61.16504 3.736594 22.78911 53.431345 68.89873
## 3        AG    579      Hays 69.79728 3.736594 22.78911 62.063591 77.53098
## 4        EA    472   Tribune 49.13078 3.736594 22.78911 41.397089 56.86447
## 5        EA    579      Hays 47.93665 3.736594 22.78911 40.202952 55.67034
## 6        EA    850 Manhattan 47.38140 3.736594 22.78911 39.647708 55.11509
## 7        NP    579      Hays 14.90930 3.736594 22.78911  7.175602 22.64299
## 8        NP    472   Tribune 22.29726 3.736594 22.78911 14.563572 30.03096
## 9        NP    850 Manhattan 16.56350 3.736594 22.78911  8.829805 24.29719
##   .group location_f xloc
## 1     a     Tribune  2.7
## 2    a    Manhattan  2.7
## 3    a         Hays  2.7
## 4     a     Tribune    3
## 5     b        Hays    3
## 6     b   Manhattan    3
## 7      c       Hays  3.3
## 8      b    Tribune  3.3
## 9      c  Manhattan  3.3
##   treatment precip  location   lsmean       SE       df lower.CL upper.CL
## 1        AG    472   Tribune 40.25275 4.905302 20.96793 30.05067 50.45484
## 2        AG    850 Manhattan 60.48042 4.905302 20.96793 50.27834 70.68251
## 3        AG    579      Hays 61.04155 4.905302 20.96793 50.83947 71.24364
## 4        EA    472   Tribune 60.53863 4.905302 20.96793 50.33654 70.74071
## 5        EA    850 Manhattan 45.04338 4.905302 20.96793 34.84130 55.24547
## 6        EA    579      Hays 47.54742 4.905302 20.96793 37.34533 57.74950
## 7        NP    579      Hays 28.36159 4.905302 20.96793 18.15950 38.56367
## 8        NP    472   Tribune 24.33689 4.905302 20.96793 14.13481 34.53898
## 9        NP    850 Manhattan 23.59988 4.905302 20.96793 13.39779 33.80196
##   .group location_f xloc
## 1     b     Tribune  2.7
## 2    a    Manhattan  2.7
## 3    a         Hays  2.7
## 4    a      Tribune    3
## 5     b   Manhattan    3
## 6     b        Hays    3
## 7      c       Hays  3.3
## 8      c    Tribune  3.3
## 9      c  Manhattan  3.3
##   treatment precip  location   lsmean       SE      df  lower.CL upper.CL
## 1        AG    472   Tribune 43.85542 5.586198 26.3469 32.380181 55.33066
## 2        AG    850 Manhattan 54.04183 5.586198 26.3469 42.566587 65.51707
## 3        AG    579      Hays 44.03529 5.586198 26.3469 32.560046 55.51053
## 4        EA    472   Tribune 51.12957 5.586198 26.3469 39.654327 62.60481
## 5        EA    579      Hays 59.98533 5.586198 26.3469 48.510085 71.46056
## 6        EA    850 Manhattan 52.36527 5.586198 26.3469 40.890028 63.84051
## 7        NP    579      Hays 32.68928 5.586198 26.3469 21.214043 44.16452
## 8        NP    472   Tribune 20.87374 5.586198 26.3469  9.398503 32.34898
## 9        NP    850 Manhattan 19.45423 5.586198 26.3469  7.978991 30.92947
##   .group location_f xloc
## 1     a     Tribune  2.7
## 2     a   Manhattan  2.7
## 3      b       Hays  2.7
## 4     a     Tribune    3
## 5     a        Hays    3
## 6     a   Manhattan    3
## 7      b       Hays  3.3
## 8      b    Tribune  3.3
## 9      b  Manhattan  3.3
##   treatment precip  location   lsmean       SE       df  lower.CL upper.CL
## 1        AG    472   Tribune 51.28463 4.308961 26.93583 42.442385 60.12687
## 2        AG    850 Manhattan 52.78271 4.308961 26.93583 43.940465 61.62495
## 3        AG    579      Hays 46.22015 4.308961 26.93583 37.377911 55.06240
## 4        EA    472   Tribune 35.12016 4.308961 26.93583 26.277920 43.96241
## 5        EA    579      Hays 39.81846 4.308961 26.93583 30.976213 48.66070
## 6        EA    850 Manhattan 30.85960 4.308961 26.93583 22.017359 39.70184
## 7        NP    579      Hays 18.92336 4.308961 26.93583 10.081112 27.76560
## 8        NP    472   Tribune 23.41428 4.308961 26.93583 14.572037 32.25652
## 9        NP    850 Manhattan 12.95212 4.308961 26.93583  4.109876 21.79436
##   .group location_f xloc
## 1     a     Tribune  2.7
## 2    a    Manhattan  2.7
## 3     a        Hays  2.7
## 4      b    Tribune    3
## 5     a        Hays    3
## 6     b   Manhattan    3
## 7      b       Hays  3.3
## 8      b    Tribune  3.3
## 9      c  Manhattan  3.3
##   treatment precip  location   lsmean       SE       df  lower.CL upper.CL
## 1        AG    472   Tribune 48.79037 4.646506 26.97369 39.256094 58.32465
## 2        AG    850 Manhattan 42.54411 4.646506 26.97369 33.009834 52.07839
## 3        AG    579      Hays 53.84427 4.646506 26.97369 44.309997 63.37855
## 4        EA    472   Tribune 56.26802 4.646506 26.97369 46.733745 65.80230
## 5        EA    850 Manhattan 23.87843 4.646506 26.97369 14.344149 33.41270
## 6        EA    579      Hays 52.73937 4.646506 26.97369 43.205095 62.27365
## 7        NP    579      Hays 26.00424 4.646506 26.97369 16.469966 35.53852
## 8        NP    472   Tribune 28.54305 4.646506 26.97369 19.008772 38.07733
## 9        NP    850 Manhattan 12.82837 4.646506 26.97369  3.294094 22.36265
##   .group location_f xloc
## 1     a     Tribune  2.7
## 2     a   Manhattan  2.7
## 3     a        Hays  2.7
## 4     a     Tribune    3
## 5      b  Manhattan    3
## 6     a        Hays    3
## 7      b       Hays  3.3
## 8      b    Tribune  3.3
## 9      b  Manhattan  3.3
##   treatment precip  location   lsmean       SE df  lower.CL upper.CL .group
## 1        AG    472   Tribune 54.06194 5.790714 27 42.180374 65.94350     a 
## 2        AG    850 Manhattan 33.09569 5.790714 27 21.214123 44.97725      a
## 3        AG    579      Hays 32.26746 5.790714 27 20.385893 44.14902      b
## 4        EA    472   Tribune 41.10064 5.790714 27 29.219080 52.98221     ab
## 5        EA    579      Hays 49.59674 5.790714 27 37.715174 61.47830     a 
## 6        EA    850 Manhattan 29.54047 5.790714 27 17.658910 41.42204      a
## 7        NP    579      Hays 26.41757 5.790714 27 14.536007 38.29913      b
## 8        NP    472   Tribune 33.01473 5.790714 27 21.133171 44.89630      b
## 9        NP    850 Manhattan 20.06624 5.790714 27  8.184675 31.94780      a
##   location_f xloc
## 1    Tribune  2.7
## 2  Manhattan  2.7
## 3       Hays  2.7
## 4    Tribune    3
## 5       Hays    3
## 6  Manhattan    3
## 7       Hays  3.3
## 8    Tribune  3.3
## 9  Manhattan  3.3
##   treatment precip  location lsmean        SE df   lower.CL upper.CL .group
## 1        AG    472   Tribune 6.1575 0.7752837 27  4.5667492 7.748251     a 
## 2        AG    850 Manhattan 7.2450 0.7752837 27  5.6542492 8.835751     a 
## 3        AG    579      Hays 5.2825 0.7752837 27  3.6917492 6.873251     a 
## 4        EA    472   Tribune 3.9900 0.7752837 27  2.3992492 5.580751     ab
## 5        EA    579      Hays 3.3750 0.7752837 27  1.7842492 4.965751     a 
## 6        EA    850 Manhattan 5.1450 0.7752837 27  3.5542492 6.735751     a 
## 7        NP    579      Hays 1.0475 0.7752837 27 -0.5432508 2.638251      b
## 8        NP    472   Tribune 1.9500 0.7752837 27  0.3592492 3.540751      b
## 9        NP    850 Manhattan 1.9325 0.7752837 27  0.3417492 3.523251      b
##   location_f xloc
## 1    Tribune  3.7
## 2  Manhattan  3.7
## 3       Hays  3.7
## 4    Tribune    4
## 5       Hays    4
## 6  Manhattan    4
## 7       Hays  4.3
## 8    Tribune  4.3
## 9  Manhattan  4.3
##   treatment precip  location lsmean       SE df  lower.CL upper.CL .group
## 1        AG    472   Tribune 4.1075 0.671795 27 2.7290905  5.48591     ab
## 2        AG    579      Hays 8.7775 0.671795 27 7.3990905 10.15591    a  
## 3        AG    850 Manhattan 4.8125 0.671795 27 3.4340905  6.19091     ab
## 4        EA    472   Tribune 5.4100 0.671795 27 4.0315905  6.78841     a 
## 5        EA    850 Manhattan 5.0475 0.671795 27 3.6690905  6.42591     a 
## 6        EA    579      Hays 3.7775 0.671795 27 2.3990905  5.15591     b 
## 7        NP    579      Hays 1.7575 0.671795 27 0.3790905  3.13591      c
## 8        NP    472   Tribune 2.1825 0.671795 27 0.8040905  3.56091      b
## 9        NP    850 Manhattan 3.0400 0.671795 27 1.6615905  4.41841      b
##   location_f xloc
## 1    Tribune  3.7
## 2       Hays  3.7
## 3  Manhattan  3.7
## 4    Tribune    4
## 5  Manhattan    4
## 6       Hays    4
## 7       Hays  4.3
## 8    Tribune  4.3
## 9  Manhattan  4.3
##   treatment precip  location lsmean       SE       df   lower.CL  upper.CL
## 1        AG    472   Tribune 4.4125 1.094354 22.58634  2.1463605  6.678639
## 2        AG    579      Hays 7.8275 1.094354 22.58634  5.5613605 10.093639
## 3        AG    850 Manhattan 3.4700 1.094354 22.58634  1.2038605  5.736139
## 4        EA    472   Tribune 8.4225 1.094354 22.58634  6.1563605 10.688639
## 5        EA    850 Manhattan 6.9400 1.094354 22.58634  4.6738605  9.206139
## 6        EA    579      Hays 5.5625 1.094354 22.58634  3.2963605  7.828639
## 7        NP    579      Hays 2.4400 1.094354 22.58634  0.1738605  4.706139
## 8        NP    472   Tribune 1.6150 1.094354 22.58634 -0.6511395  3.881139
## 9        NP    850 Manhattan 1.7325 1.094354 22.58634 -0.5336395  3.998639
##   .group location_f xloc
## 1      b    Tribune  3.7
## 2     a        Hays  3.7
## 3      b  Manhattan  3.7
## 4     a     Tribune    4
## 5     a   Manhattan    4
## 6     a        Hays    4
## 7      b       Hays  4.3
## 8      b    Tribune  4.3
## 9      b  Manhattan  4.3
##   treatment precip  location    lsmean       SE df     lower.CL  upper.CL
## 1        AG    472   Tribune  6.822500 2.423439 27  1.850013269 11.794987
## 2        AG    579      Hays  6.052500 2.423439 27  1.080013269 11.024987
## 3        AG    850 Manhattan  3.980000 2.423439 27 -0.992486731  8.952487
## 4        EA    579      Hays 16.817500 2.423439 27 11.845013269 21.789987
## 5        EA    472   Tribune  4.965000 2.423439 27 -0.007486731  9.937487
## 6        EA    850 Manhattan  3.775000 2.423439 27 -1.197486731  8.747487
## 7        NP    579      Hays  8.617500 2.423439 27  3.645013269 13.589987
## 8        NP    472   Tribune  5.255000 2.423439 27  0.282513269 10.227487
## 9        NP    850 Manhattan  1.433954 2.423439 27 -3.538532696  6.406441
##   .group location_f xloc
## 1      a    Tribune  3.7
## 2      b       Hays  3.7
## 3      a  Manhattan  3.7
## 4     a        Hays    4
## 5      a    Tribune    4
## 6      a  Manhattan    4
## 7      b       Hays  4.3
## 8      a    Tribune  4.3
## 9      a  Manhattan  4.3
##   treatment precip  location  lsmean        SE df   lower.CL  upper.CL .group
## 1        AG    472   Tribune  7.5800 0.9417107 27  5.6477693  9.512231      a
## 2        AG    579      Hays  5.6325 0.9417107 27  3.7002693  7.564731      b
## 3        AG    850 Manhattan  2.2525 0.9417107 27  0.3202693  4.184731      a
## 4        EA    850 Manhattan  4.2475 0.9417107 27  2.3152693  6.179731      a
## 5        EA    472   Tribune  6.5025 0.9417107 27  4.5702693  8.434731      a
## 6        EA    579      Hays 11.5525 0.9417107 27  9.6202693 13.484731     a 
## 7        NP    579      Hays  9.0175 0.9417107 27  7.0852693 10.949731     a 
## 8        NP    472   Tribune  4.8950 0.9417107 27  2.9627693  6.827231      a
## 9        NP    850 Manhattan  1.7150 0.9417107 27 -0.2172307  3.647231      a
##   location_f xloc
## 1    Tribune  3.7
## 2       Hays  3.7
## 3  Manhattan  3.7
## 4  Manhattan    4
## 5    Tribune    4
## 6       Hays    4
## 7       Hays  4.3
## 8    Tribune  4.3
## 9  Manhattan  4.3
##   treatment precip  location  lsmean        SE df   lower.CL upper.CL .group
## 1        AG    472   Tribune  5.5575 0.6737057 27 4.17517004  6.93983      a
## 2        AG    579      Hays  5.8525 0.6737057 27 4.47017004  7.23483      b
## 3        AG    850 Manhattan  3.0725 0.6737057 27 1.69017004  4.45483     ab
## 4        EA    472   Tribune  5.6750 0.6737057 27 4.29267004  7.05733      a
## 5        EA    850 Manhattan  4.2025 0.6737057 27 2.82017004  5.58483     a 
## 6        EA    579      Hays 10.8700 0.6737057 27 9.48767004 12.25233     a 
## 7        NP    579      Hays  8.9275 0.6737057 27 7.54517004 10.30983     a 
## 8        NP    472   Tribune  5.0850 0.6737057 27 3.70267004  6.46733      a
## 9        NP    850 Manhattan  1.4100 0.6737057 27 0.02767004  2.79233      b
##   location_f xloc
## 1    Tribune  3.7
## 2       Hays  3.7
## 3  Manhattan  3.7
## 4    Tribune    4
## 5  Manhattan    4
## 6       Hays    4
## 7       Hays  4.3
## 8    Tribune  4.3
## 9  Manhattan  4.3

7 Converted Dataframes

##    precip  location treatment     lsmean .group xloc aggregate_size
## 1     579      Hays        AG  0.9315208      b   .7            8-2
## 2     472   Tribune        AG  8.7304187      b   .7            8-2
## 3     850 Manhattan        AG  1.9782694      b   .7            8-2
## 4     472   Tribune        EA  8.8448459      b    1            8-2
## 5     579      Hays        EA  9.3305850      b    1            8-2
## 6     850 Manhattan        EA 11.4886335      b    1            8-2
## 7     472   Tribune        NP 26.3313434     a   1.3            8-2
## 8     850 Manhattan        NP 25.3077401     a   1.3            8-2
## 9     579      Hays        NP 30.8387700     a   1.3            8-2
## 10    579      Hays        AG 11.9734301      b  1.7         2-0.25
## 11    472   Tribune        AG 14.4454999      b  1.7         2-0.25
## 12    850 Manhattan        AG 17.6278247      c  1.7         2-0.25
## 13    472   Tribune        EA 16.2781993      b    2         2-0.25
## 14    579      Hays        EA 22.0219300     a     2         2-0.25
## 15    850 Manhattan        EA 24.9732871     b     2         2-0.25
## 16    472   Tribune        NP 25.6052664     a   2.3         2-0.25
## 17    850 Manhattan        NP 37.2452781    a    2.3         2-0.25
## 18    579      Hays        NP 28.5391700     a   2.3         2-0.25
## 19    472   Tribune        AG 53.0739889     a   2.7     0.25-0.053
## 20    850 Manhattan        AG 61.1650379    a    2.7     0.25-0.053
## 21    579      Hays        AG 69.7972833    a    2.7     0.25-0.053
## 22    472   Tribune        EA 49.1307814     a     3     0.25-0.053
## 23    579      Hays        EA 47.9366450     b     3     0.25-0.053
## 24    850 Manhattan        EA 47.3814008     b     3     0.25-0.053
## 25    579      Hays        NP 14.9092950      c  3.3     0.25-0.053
## 26    472   Tribune        NP 22.2972642      b  3.3     0.25-0.053
## 27    850 Manhattan        NP 16.5634973      c  3.3     0.25-0.053
## 28    472   Tribune        AG  6.1575000     a   3.7    0.053-0.020
## 29    850 Manhattan        AG  7.2450000     a   3.7    0.053-0.020
## 30    579      Hays        AG  5.2825000     a   3.7    0.053-0.020
## 31    472   Tribune        EA  3.9900000     ab    4    0.053-0.020
## 32    579      Hays        EA  3.3750000     a     4    0.053-0.020
## 33    850 Manhattan        EA  5.1450000     a     4    0.053-0.020
## 34    579      Hays        NP  1.0475000      b  4.3    0.053-0.020
## 35    472   Tribune        NP  1.9500000      b  4.3    0.053-0.020
## 36    850 Manhattan        NP  1.9325000      b  4.3    0.053-0.020
##    precip  location treatment    lsmean .group xloc aggregate_size
## 1     472   Tribune        AG  7.158672      b   .7            8-2
## 2     850 Manhattan        AG  3.003322      b   .7            8-2
## 3     579      Hays        AG  1.369402      b   .7            8-2
## 4     472   Tribune        EA  2.303734      b    1            8-2
## 5     850 Manhattan        EA  8.197339      b    1            8-2
## 6     579      Hays        EA  4.312530      b    1            8-2
## 7     472   Tribune        NP 19.874634     a   1.3            8-2
## 8     850 Manhattan        NP 19.539639     a   1.3            8-2
## 9     579      Hays        NP 27.933098     a   1.3            8-2
## 10    472   Tribune        AG 31.380248     a   1.7         2-0.25
## 11    579      Hays        AG 12.446052      b  1.7         2-0.25
## 12    850 Manhattan        AG 19.009357      b  1.7         2-0.25
## 13    579      Hays        EA 29.768317     a     2         2-0.25
## 14    472   Tribune        EA 15.885406      b    2         2-0.25
## 15    850 Manhattan        EA 31.988045     ab    2         2-0.25
## 16    472   Tribune        NP 33.762260     a   2.3         2-0.25
## 17    850 Manhattan        NP 35.211923     a   2.3         2-0.25
## 18    579      Hays        NP 22.881412     ab  2.3         2-0.25
## 19    472   Tribune        AG 40.252754     b   2.7     0.25-0.053
## 20    850 Manhattan        AG 60.480425    a    2.7     0.25-0.053
## 21    579      Hays        AG 61.041555    a    2.7     0.25-0.053
## 22    472   Tribune        EA 60.538628    a      3     0.25-0.053
## 23    850 Manhattan        EA 45.043383     b     3     0.25-0.053
## 24    579      Hays        EA 47.547415     b     3     0.25-0.053
## 25    579      Hays        NP 28.361588      c  3.3     0.25-0.053
## 26    472   Tribune        NP 24.336891      c  3.3     0.25-0.053
## 27    850 Manhattan        NP 23.599879      c  3.3     0.25-0.053
## 28    472   Tribune        AG  4.107500     ab  3.7    0.053-0.020
## 29    579      Hays        AG  8.777500    a    3.7    0.053-0.020
## 30    850 Manhattan        AG  4.812500     ab  3.7    0.053-0.020
## 31    472   Tribune        EA  5.410000     a     4    0.053-0.020
## 32    850 Manhattan        EA  5.047500     a     4    0.053-0.020
## 33    579      Hays        EA  3.777500     b     4    0.053-0.020
## 34    579      Hays        NP  1.757500      c  4.3    0.053-0.020
## 35    472   Tribune        NP  2.182500      b  4.3    0.053-0.020
## 36    850 Manhattan        NP  3.040000      b  4.3    0.053-0.020
##    precip  location treatment    lsmean .group xloc aggregate_size
## 1     472   Tribune        AG  7.344079      b   .7            8-2
## 2     850 Manhattan        AG  2.653159      b   .7            8-2
## 3     579      Hays        AG  1.931631      b   .7            8-2
## 4     472   Tribune        EA  3.058975      b    1            8-2
## 5     850 Manhattan        EA  4.378598      b    1            8-2
## 6     579      Hays        EA  2.561610      b    1            8-2
## 7     472   Tribune        NP 26.297002     a   1.3            8-2
## 8     850 Manhattan        NP 25.368150     a   1.3            8-2
## 9     579      Hays        NP 23.871558     a   1.3            8-2
## 10    472   Tribune        AG 27.333662     ab  1.7         2-0.25
## 11    579      Hays        AG 32.940850      a  1.7         2-0.25
## 12    850 Manhattan        AG 29.494218      a  1.7         2-0.25
## 13    579      Hays        EA 18.866673      a    2         2-0.25
## 14    472   Tribune        EA 15.882277      b    2         2-0.25
## 15    850 Manhattan        EA 25.795000      a    2         2-0.25
## 16    472   Tribune        NP 31.521145     a   2.3         2-0.25
## 17    850 Manhattan        NP 37.563085      a  2.3         2-0.25
## 18    579      Hays        NP 23.263343      a  2.3         2-0.25
## 19    472   Tribune        AG 43.855421     a   2.7     0.25-0.053
## 20    850 Manhattan        AG 54.041827     a   2.7     0.25-0.053
## 21    579      Hays        AG 44.035286      b  2.7     0.25-0.053
## 22    472   Tribune        EA 51.129566     a     3     0.25-0.053
## 23    579      Hays        EA 59.985325     a     3     0.25-0.053
## 24    850 Manhattan        EA 52.365267     a     3     0.25-0.053
## 25    579      Hays        NP 32.689282      b  3.3     0.25-0.053
## 26    472   Tribune        NP 20.873743      b  3.3     0.25-0.053
## 27    850 Manhattan        NP 19.454231      b  3.3     0.25-0.053
## 28    472   Tribune        AG  4.412500      b  3.7    0.053-0.020
## 29    579      Hays        AG  7.827500     a   3.7    0.053-0.020
## 30    850 Manhattan        AG  3.470000      b  3.7    0.053-0.020
## 31    472   Tribune        EA  8.422500     a     4    0.053-0.020
## 32    850 Manhattan        EA  6.940000     a     4    0.053-0.020
## 33    579      Hays        EA  5.562500     a     4    0.053-0.020
## 34    579      Hays        NP  2.440000      b  4.3    0.053-0.020
## 35    472   Tribune        NP  1.615000      b  4.3    0.053-0.020
## 36    850 Manhattan        NP  1.732500      b  4.3    0.053-0.020
##    precip  location treatment    lsmean .group xloc aggregate_size
## 1     579      Hays        AG  1.563937      c   .7            8-2
## 2     472   Tribune        AG  6.619284      a   .7            8-2
## 3     850 Manhattan        AG  2.857780      c   .7            8-2
## 4     472   Tribune        EA 10.186894      a    1            8-2
## 5     850 Manhattan        EA 14.241278     b     1            8-2
## 6     579      Hays        EA 25.901540     b     1            8-2
## 7     472   Tribune        NP  8.822787      a  1.3            8-2
## 8     850 Manhattan        NP 25.434619    a    1.3            8-2
## 9     579      Hays        NP 44.065476    a    1.3            8-2
## 10    579      Hays        AG 27.649027      a  1.7         2-0.25
## 11    472   Tribune        AG  9.931781      b  1.7         2-0.25
## 12    850 Manhattan        AG 28.049438      b  1.7         2-0.25
## 13    472   Tribune        EA 29.018520     a     2         2-0.25
## 14    579      Hays        EA 26.595305      a    2         2-0.25
## 15    850 Manhattan        EA 31.323713      b    2         2-0.25
## 16    850 Manhattan        NP 44.262281     a   2.3         2-0.25
## 17    472   Tribune        NP 27.005202     a   2.3         2-0.25
## 18    579      Hays        NP 32.570016      a  2.3         2-0.25
## 19    472   Tribune        AG 51.284628     a   2.7     0.25-0.053
## 20    850 Manhattan        AG 52.782708    a    2.7     0.25-0.053
## 21    579      Hays        AG 46.220153     a   2.7     0.25-0.053
## 22    472   Tribune        EA 35.120163      b    3     0.25-0.053
## 23    579      Hays        EA 39.818455     a     3     0.25-0.053
## 24    850 Manhattan        EA 30.859602     b     3     0.25-0.053
## 25    579      Hays        NP 18.923355      b  3.3     0.25-0.053
## 26    472   Tribune        NP 23.414279      b  3.3     0.25-0.053
## 27    850 Manhattan        NP 12.952119      c  3.3     0.25-0.053
## 28    472   Tribune        AG  6.822500      a  3.7    0.053-0.020
## 29    579      Hays        AG  6.052500      b  3.7    0.053-0.020
## 30    850 Manhattan        AG  3.980000      a  3.7    0.053-0.020
## 31    579      Hays        EA 16.817500     a     4    0.053-0.020
## 32    472   Tribune        EA  4.965000      a    4    0.053-0.020
## 33    850 Manhattan        EA  3.775000      a    4    0.053-0.020
## 34    579      Hays        NP  8.617500      b  4.3    0.053-0.020
## 35    472   Tribune        NP  5.255000      a  4.3    0.053-0.020
## 36    850 Manhattan        NP  1.433954      a  4.3    0.053-0.020
##    precip  location treatment    lsmean .group xloc aggregate_size
## 1     472   Tribune        AG  7.358129      a   .7            8-2
## 2     850 Manhattan        AG  4.704605      c   .7            8-2
## 3     579      Hays        AG  3.551578      c   .7            8-2
## 4     472   Tribune        EA  3.989024      a    1            8-2
## 5     850 Manhattan        EA 18.601440     b     1            8-2
## 6     579      Hays        EA 10.999532     b     1            8-2
## 7     472   Tribune        NP  7.784108      a  1.3            8-2
## 8     850 Manhattan        NP 27.719093    a    1.3            8-2
## 9     579      Hays        NP 47.950775    a    1.3            8-2
## 10    579      Hays        AG 16.110140      b  1.7         2-0.25
## 11    472   Tribune        AG 15.926345      b  1.7         2-0.25
## 12    850 Manhattan        AG 41.277747      a  1.7         2-0.25
## 13    472   Tribune        EA 17.127007      b    2         2-0.25
## 14    579      Hays        EA 38.088665     a     2         2-0.25
## 15    850 Manhattan        EA 37.566067      a    2         2-0.25
## 16    472   Tribune        NP 36.000295     a   2.3         2-0.25
## 17    850 Manhattan        NP 44.207087      a  2.3         2-0.25
## 18    579      Hays        NP 37.440809     a   2.3         2-0.25
## 19    472   Tribune        AG 48.790371     a   2.7     0.25-0.053
## 20    850 Manhattan        AG 42.544111     a   2.7     0.25-0.053
## 21    579      Hays        AG 53.844274     a   2.7     0.25-0.053
## 22    472   Tribune        EA 56.268022     a     3     0.25-0.053
## 23    850 Manhattan        EA 23.878426      b    3     0.25-0.053
## 24    579      Hays        EA 52.739372     a     3     0.25-0.053
## 25    579      Hays        NP 26.004243      b  3.3     0.25-0.053
## 26    472   Tribune        NP 28.543049      b  3.3     0.25-0.053
## 27    850 Manhattan        NP 12.828371      b  3.3     0.25-0.053
## 28    472   Tribune        AG  7.580000      a  3.7    0.053-0.020
## 29    579      Hays        AG  5.632500      b  3.7    0.053-0.020
## 30    850 Manhattan        AG  2.252500      a  3.7    0.053-0.020
## 31    850 Manhattan        EA  4.247500      a    4    0.053-0.020
## 32    472   Tribune        EA  6.502500      a    4    0.053-0.020
## 33    579      Hays        EA 11.552500     a     4    0.053-0.020
## 34    579      Hays        NP  9.017500     a   4.3    0.053-0.020
## 35    472   Tribune        NP  4.895000      a  4.3    0.053-0.020
## 36    850 Manhattan        NP  1.715000      a  4.3    0.053-0.020
##    precip  location treatment    lsmean .group xloc aggregate_size
## 1     472   Tribune        AG  6.606750      a   .7            8-2
## 2     579      Hays        AG 11.637256      b   .7            8-2
## 3     850 Manhattan        AG  4.467970      b   .7            8-2
## 4     579      Hays        EA  7.687615      b    1            8-2
## 5     472   Tribune        EA  6.572290      a    1            8-2
## 6     850 Manhattan        EA 15.118422     ab    1            8-2
## 7     472   Tribune        NP 14.583834      a  1.3            8-2
## 8     850 Manhattan        NP 26.750084     a   1.3            8-2
## 9     579      Hays        NP 40.495560     a   1.3            8-2
## 10    472   Tribune        AG 19.599914      a  1.7         2-0.25
## 11    850 Manhattan        AG 52.686735      a  1.7         2-0.25
## 12    579      Hays        AG 32.008450      a  1.7         2-0.25
## 13    472   Tribune        EA 32.715244      a    2         2-0.25
## 14    579      Hays        EA 45.464665      a    2         2-0.25
## 15    850 Manhattan        EA 36.017346      a    2         2-0.25
## 16    472   Tribune        NP 18.032457      a  2.3         2-0.25
## 17    850 Manhattan        NP 37.692543      a  2.3         2-0.25
## 18    579      Hays        NP 32.094026      a  2.3         2-0.25
## 19    472   Tribune        AG 54.061937     a   2.7     0.25-0.053
## 20    850 Manhattan        AG 33.095686      a  2.7     0.25-0.053
## 21    579      Hays        AG 32.267456      b  2.7     0.25-0.053
## 22    472   Tribune        EA 41.100643     ab    3     0.25-0.053
## 23    579      Hays        EA 49.596737     a     3     0.25-0.053
## 24    850 Manhattan        EA 29.540473      a    3     0.25-0.053
## 25    579      Hays        NP 26.417570      b  3.3     0.25-0.053
## 26    472   Tribune        NP 33.014734      b  3.3     0.25-0.053
## 27    850 Manhattan        NP 20.066238      a  3.3     0.25-0.053
## 28    472   Tribune        AG  5.557500      a  3.7    0.053-0.020
## 29    579      Hays        AG  5.852500      b  3.7    0.053-0.020
## 30    850 Manhattan        AG  3.072500     ab  3.7    0.053-0.020
## 31    472   Tribune        EA  5.675000      a    4    0.053-0.020
## 32    850 Manhattan        EA  4.202500     a     4    0.053-0.020
## 33    579      Hays        EA 10.870000     a     4    0.053-0.020
## 34    579      Hays        NP  8.927500     a   4.3    0.053-0.020
## 35    472   Tribune        NP  5.085000      a  4.3    0.053-0.020
## 36    850 Manhattan        NP  1.410000      b  4.3    0.053-0.020
##   precip  location treatment    lsmean       SE       df  lower.CL  upper.CL
## 1    472   Tribune        NP 63.965361 3.395653 25.35995 56.976913 70.953809
## 2    472   Tribune        EA 18.059249 3.395653 25.35995 11.070801 25.047697
## 3    472   Tribune        AG  8.551010 3.395653 25.35995  1.562563 15.539458
## 4    579      Hays        NP 79.341536 3.395653 25.35995 72.353089 86.329984
## 5    579      Hays        EA 33.661765 3.395653 25.35995 26.673317 40.650213
## 6    579      Hays        AG  8.396014 3.395653 25.35995  1.407567 15.384462
## 7    850 Manhattan        NP 71.105925 3.395653 25.35995 64.117478 78.094373
## 8    850 Manhattan        EA 45.922074 3.395653 25.35995 38.933627 52.910522
## 9    850 Manhattan        AG  1.474729 3.972346 25.86318 -6.692648  9.642106
##   .group location_f
## 1     a     Tribune
## 2      b    Tribune
## 3      b    Tribune
## 4    a         Hays
## 5     b        Hays
## 6      c       Hays
## 7    a    Manhattan
## 8     b   Manhattan
## 9      c  Manhattan
##   precip  location treatment    lsmean       SE df   lower.CL  upper.CL .group
## 1    472   Tribune        NP 35.748582 2.917510 26 29.7515545 41.745610     a 
## 2    472   Tribune        AG  5.721995 2.917510 26 -0.2750325 11.719023      b
## 3    472   Tribune        EA  3.686833 2.917510 26 -2.3101946  9.683861      b
## 4    579      Hays        NP 67.060386 2.917510 26 61.0633580 73.057413     a 
## 5    579      Hays        EA  7.599869 2.917510 26  1.6028410 13.596896      b
## 6    579      Hays        AG  6.400527 2.917510 26  0.4034990 12.397554      b
## 7    850 Manhattan        NP 61.784932 2.917510 26 55.7879043 67.781959    a  
## 8    850 Manhattan        EA 32.138297 2.917510 26 26.1412695 38.135325     b 
## 9    850 Manhattan        AG  4.820744 3.452044 26 -2.2750349 11.916522      c
##   location_f
## 1    Tribune
## 2    Tribune
## 3    Tribune
## 4       Hays
## 5       Hays
## 6       Hays
## 7  Manhattan
## 8  Manhattan
## 9  Manhattan
##   precip  location treatment    lsmean       SE       df   lower.CL upper.CL
## 1    472   Tribune        NP 19.990638 3.794838 26.96694 12.2038258 27.77745
## 2    472   Tribune        EA  4.310915 3.794838 26.96694 -3.4758968 12.09773
## 3    472   Tribune        AG  4.156583 3.794838 26.96694 -3.6302288 11.94339
## 4    579      Hays        NP 51.534489 3.794838 26.96694 43.7476771 59.32130
## 5    579      Hays        AG 17.442633 3.794838 26.96694  9.6558211 25.22944
## 6    579      Hays        EA  7.009381 3.794838 26.96694 -0.7774306 14.79619
## 7    850 Manhattan        NP 54.878590 3.794838 26.96694 47.0917776 62.66540
## 8    850 Manhattan        EA 20.871680 3.794838 26.96694 13.0848680 28.65849
## 9    850 Manhattan        AG  9.891704 3.794838 26.96694  2.1048916 17.67852
##   .group location_f
## 1     a     Tribune
## 2      b    Tribune
## 3      b    Tribune
## 4     a        Hays
## 5      b       Hays
## 6      b       Hays
## 7     a   Manhattan
## 8      b  Manhattan
## 9      b  Manhattan

#Final dataframes

##    precip  location treatment     lsmean .group xloc aggregate_size
## 1     579      Hays        AG  0.9315208      b   .7            8-2
## 2     472   Tribune        AG  8.7304187      b   .7            8-2
## 3     850 Manhattan        AG  1.9782694      b   .7            8-2
## 4     472   Tribune        EA  8.8448459      b    1            8-2
## 5     579      Hays        EA  9.3305850      b    1            8-2
## 6     850 Manhattan        EA 11.4886335      b    1            8-2
## 7     472   Tribune        NP 26.3313434     a   1.3            8-2
## 8     850 Manhattan        NP 25.3077401     a   1.3            8-2
## 9     579      Hays        NP 30.8387700     a   1.3            8-2
## 10    579      Hays        AG 11.9734301      b  1.7         2-0.25
## 11    472   Tribune        AG 14.4454999      b  1.7         2-0.25
## 12    850 Manhattan        AG 17.6278247      c  1.7         2-0.25
## 13    472   Tribune        EA 16.2781993      b    2         2-0.25
## 14    579      Hays        EA 22.0219300     a     2         2-0.25
## 15    850 Manhattan        EA 24.9732871     b     2         2-0.25
## 16    472   Tribune        NP 25.6052664     a   2.3         2-0.25
## 17    850 Manhattan        NP 37.2452781    a    2.3         2-0.25
## 18    579      Hays        NP 28.5391700     a   2.3         2-0.25
## 19    472   Tribune        AG 53.0739889     a   2.7     0.25-0.053
## 20    850 Manhattan        AG 61.1650379    a    2.7     0.25-0.053
## 21    579      Hays        AG 69.7972833    a    2.7     0.25-0.053
## 22    472   Tribune        EA 49.1307814     a     3     0.25-0.053
## 23    579      Hays        EA 47.9366450     b     3     0.25-0.053
## 24    850 Manhattan        EA 47.3814008     b     3     0.25-0.053
## 25    579      Hays        NP 14.9092950      c  3.3     0.25-0.053
## 26    472   Tribune        NP 22.2972642      b  3.3     0.25-0.053
## 27    850 Manhattan        NP 16.5634973      c  3.3     0.25-0.053
## 28    472   Tribune        AG  6.1575000     a   3.7    0.053-0.020
## 29    850 Manhattan        AG  7.2450000     a   3.7    0.053-0.020
## 30    579      Hays        AG  5.2825000     a   3.7    0.053-0.020
## 31    472   Tribune        EA  3.9900000     ab    4    0.053-0.020
## 32    579      Hays        EA  3.3750000     a     4    0.053-0.020
## 33    850 Manhattan        EA  5.1450000     a     4    0.053-0.020
## 34    579      Hays        NP  1.0475000      b  4.3    0.053-0.020
## 35    472   Tribune        NP  1.9500000      b  4.3    0.053-0.020
## 36    850 Manhattan        NP  1.9325000      b  4.3    0.053-0.020
##    precip  location treatment    lsmean .group xloc aggregate_size
## 1     472   Tribune        AG  7.158672      b   .7            8-2
## 2     850 Manhattan        AG  3.003322      b   .7            8-2
## 3     579      Hays        AG  1.369402      b   .7            8-2
## 4     472   Tribune        EA  2.303734      b    1            8-2
## 5     850 Manhattan        EA  8.197339      b    1            8-2
## 6     579      Hays        EA  4.312530      b    1            8-2
## 7     472   Tribune        NP 19.874634     a   1.3            8-2
## 8     850 Manhattan        NP 19.539639     a   1.3            8-2
## 9     579      Hays        NP 27.933098     a   1.3            8-2
## 10    472   Tribune        AG 31.380248     a   1.7         2-0.25
## 11    579      Hays        AG 12.446052      b  1.7         2-0.25
## 12    850 Manhattan        AG 19.009357      b  1.7         2-0.25
## 13    579      Hays        EA 29.768317     a     2         2-0.25
## 14    472   Tribune        EA 15.885406      b    2         2-0.25
## 15    850 Manhattan        EA 31.988045     ab    2         2-0.25
## 16    472   Tribune        NP 33.762260     a   2.3         2-0.25
## 17    850 Manhattan        NP 35.211923     a   2.3         2-0.25
## 18    579      Hays        NP 22.881412     ab  2.3         2-0.25
## 19    472   Tribune        AG 40.252754     b   2.7     0.25-0.053
## 20    850 Manhattan        AG 60.480425    a    2.7     0.25-0.053
## 21    579      Hays        AG 61.041555    a    2.7     0.25-0.053
## 22    472   Tribune        EA 60.538628    a      3     0.25-0.053
## 23    850 Manhattan        EA 45.043383     b     3     0.25-0.053
## 24    579      Hays        EA 47.547415     b     3     0.25-0.053
## 25    579      Hays        NP 28.361588      c  3.3     0.25-0.053
## 26    472   Tribune        NP 24.336891      c  3.3     0.25-0.053
## 27    850 Manhattan        NP 23.599879      c  3.3     0.25-0.053
## 28    472   Tribune        AG  4.107500     ab  3.7    0.053-0.020
## 29    579      Hays        AG  8.777500    a    3.7    0.053-0.020
## 30    850 Manhattan        AG  4.812500     ab  3.7    0.053-0.020
## 31    472   Tribune        EA  5.410000     a     4    0.053-0.020
## 32    850 Manhattan        EA  5.047500     a     4    0.053-0.020
## 33    579      Hays        EA  3.777500     b     4    0.053-0.020
## 34    579      Hays        NP  1.757500      c  4.3    0.053-0.020
## 35    472   Tribune        NP  2.182500      b  4.3    0.053-0.020
## 36    850 Manhattan        NP  3.040000      b  4.3    0.053-0.020
##    precip  location treatment    lsmean .group xloc aggregate_size
## 1     472   Tribune        AG  7.344079      b   .7            8-2
## 2     850 Manhattan        AG  2.653159      b   .7            8-2
## 3     579      Hays        AG  1.931631      b   .7            8-2
## 4     472   Tribune        EA  3.058975      b    1            8-2
## 5     850 Manhattan        EA  4.378598      b    1            8-2
## 6     579      Hays        EA  2.561610      b    1            8-2
## 7     472   Tribune        NP 26.297002     a   1.3            8-2
## 8     850 Manhattan        NP 25.368150     a   1.3            8-2
## 9     579      Hays        NP 23.871558     a   1.3            8-2
## 10    472   Tribune        AG 27.333662     ab  1.7         2-0.25
## 11    579      Hays        AG 32.940850      a  1.7         2-0.25
## 12    850 Manhattan        AG 29.494218      a  1.7         2-0.25
## 13    579      Hays        EA 18.866673      a    2         2-0.25
## 14    472   Tribune        EA 15.882277      b    2         2-0.25
## 15    850 Manhattan        EA 25.795000      a    2         2-0.25
## 16    472   Tribune        NP 31.521145     a   2.3         2-0.25
## 17    850 Manhattan        NP 37.563085      a  2.3         2-0.25
## 18    579      Hays        NP 23.263343      a  2.3         2-0.25
## 19    472   Tribune        AG 43.855421     a   2.7     0.25-0.053
## 20    850 Manhattan        AG 54.041827     a   2.7     0.25-0.053
## 21    579      Hays        AG 44.035286      b  2.7     0.25-0.053
## 22    472   Tribune        EA 51.129566     a     3     0.25-0.053
## 23    579      Hays        EA 59.985325     a     3     0.25-0.053
## 24    850 Manhattan        EA 52.365267     a     3     0.25-0.053
## 25    579      Hays        NP 32.689282      b  3.3     0.25-0.053
## 26    472   Tribune        NP 20.873743      b  3.3     0.25-0.053
## 27    850 Manhattan        NP 19.454231      b  3.3     0.25-0.053
## 28    472   Tribune        AG  4.412500      b  3.7    0.053-0.020
## 29    579      Hays        AG  7.827500     a   3.7    0.053-0.020
## 30    850 Manhattan        AG  3.470000      b  3.7    0.053-0.020
## 31    472   Tribune        EA  8.422500     a     4    0.053-0.020
## 32    850 Manhattan        EA  6.940000     a     4    0.053-0.020
## 33    579      Hays        EA  5.562500     a     4    0.053-0.020
## 34    579      Hays        NP  2.440000      b  4.3    0.053-0.020
## 35    472   Tribune        NP  1.615000      b  4.3    0.053-0.020
## 36    850 Manhattan        NP  1.732500      b  4.3    0.053-0.020
##    precip  location treatment    lsmean .group xloc aggregate_size
## 1     579      Hays        AG  1.563937      c   .7            8-2
## 2     472   Tribune        AG  6.619284      a   .7            8-2
## 3     850 Manhattan        AG  2.857780      c   .7            8-2
## 4     472   Tribune        EA 10.186894      a    1            8-2
## 5     850 Manhattan        EA 14.241278     b     1            8-2
## 6     579      Hays        EA 25.901540     b     1            8-2
## 7     472   Tribune        NP  8.822787      a  1.3            8-2
## 8     850 Manhattan        NP 25.434619    a    1.3            8-2
## 9     579      Hays        NP 44.065476    a    1.3            8-2
## 10    579      Hays        AG 27.649027      a  1.7         2-0.25
## 11    472   Tribune        AG  9.931781      b  1.7         2-0.25
## 12    850 Manhattan        AG 28.049438      b  1.7         2-0.25
## 13    472   Tribune        EA 29.018520     a     2         2-0.25
## 14    579      Hays        EA 26.595305      a    2         2-0.25
## 15    850 Manhattan        EA 31.323713      b    2         2-0.25
## 16    850 Manhattan        NP 44.262281     a   2.3         2-0.25
## 17    472   Tribune        NP 27.005202     a   2.3         2-0.25
## 18    579      Hays        NP 32.570016      a  2.3         2-0.25
## 19    472   Tribune        AG 51.284628     a   2.7     0.25-0.053
## 20    850 Manhattan        AG 52.782708    a    2.7     0.25-0.053
## 21    579      Hays        AG 46.220153     a   2.7     0.25-0.053
## 22    472   Tribune        EA 35.120163      b    3     0.25-0.053
## 23    579      Hays        EA 39.818455     a     3     0.25-0.053
## 24    850 Manhattan        EA 30.859602     b     3     0.25-0.053
## 25    579      Hays        NP 18.923355      b  3.3     0.25-0.053
## 26    472   Tribune        NP 23.414279      b  3.3     0.25-0.053
## 27    850 Manhattan        NP 12.952119      c  3.3     0.25-0.053
## 28    472   Tribune        AG  6.822500      a  3.7    0.053-0.020
## 29    579      Hays        AG  6.052500      b  3.7    0.053-0.020
## 30    850 Manhattan        AG  3.980000      a  3.7    0.053-0.020
## 31    579      Hays        EA 16.817500     a     4    0.053-0.020
## 32    472   Tribune        EA  4.965000      a    4    0.053-0.020
## 33    850 Manhattan        EA  3.775000      a    4    0.053-0.020
## 34    579      Hays        NP  8.617500      b  4.3    0.053-0.020
## 35    472   Tribune        NP  5.255000      a  4.3    0.053-0.020
## 36    850 Manhattan        NP  1.433954      a  4.3    0.053-0.020
##    precip  location treatment    lsmean .group xloc aggregate_size
## 1     472   Tribune        AG  7.358129      a   .7            8-2
## 2     850 Manhattan        AG  4.704605      c   .7            8-2
## 3     579      Hays        AG  3.551578      c   .7            8-2
## 4     472   Tribune        EA  3.989024      a    1            8-2
## 5     850 Manhattan        EA 18.601440     b     1            8-2
## 6     579      Hays        EA 10.999532     b     1            8-2
## 7     472   Tribune        NP  7.784108      a  1.3            8-2
## 8     850 Manhattan        NP 27.719093    a    1.3            8-2
## 9     579      Hays        NP 47.950775    a    1.3            8-2
## 10    579      Hays        AG 16.110140      b  1.7         2-0.25
## 11    472   Tribune        AG 15.926345      b  1.7         2-0.25
## 12    850 Manhattan        AG 41.277747      a  1.7         2-0.25
## 13    472   Tribune        EA 17.127007      b    2         2-0.25
## 14    579      Hays        EA 38.088665     a     2         2-0.25
## 15    850 Manhattan        EA 37.566067      a    2         2-0.25
## 16    472   Tribune        NP 36.000295     a   2.3         2-0.25
## 17    850 Manhattan        NP 44.207087      a  2.3         2-0.25
## 18    579      Hays        NP 37.440809     a   2.3         2-0.25
## 19    472   Tribune        AG 48.790371     a   2.7     0.25-0.053
## 20    850 Manhattan        AG 42.544111     a   2.7     0.25-0.053
## 21    579      Hays        AG 53.844274     a   2.7     0.25-0.053
## 22    472   Tribune        EA 56.268022     a     3     0.25-0.053
## 23    850 Manhattan        EA 23.878426      b    3     0.25-0.053
## 24    579      Hays        EA 52.739372     a     3     0.25-0.053
## 25    579      Hays        NP 26.004243      b  3.3     0.25-0.053
## 26    472   Tribune        NP 28.543049      b  3.3     0.25-0.053
## 27    850 Manhattan        NP 12.828371      b  3.3     0.25-0.053
## 28    472   Tribune        AG  7.580000      a  3.7    0.053-0.020
## 29    579      Hays        AG  5.632500      b  3.7    0.053-0.020
## 30    850 Manhattan        AG  2.252500      a  3.7    0.053-0.020
## 31    850 Manhattan        EA  4.247500      a    4    0.053-0.020
## 32    472   Tribune        EA  6.502500      a    4    0.053-0.020
## 33    579      Hays        EA 11.552500     a     4    0.053-0.020
## 34    579      Hays        NP  9.017500     a   4.3    0.053-0.020
## 35    472   Tribune        NP  4.895000      a  4.3    0.053-0.020
## 36    850 Manhattan        NP  1.715000      a  4.3    0.053-0.020
##    precip  location treatment    lsmean .group xloc aggregate_size
## 1     472   Tribune        AG  6.606750      a   .7            8-2
## 2     579      Hays        AG 11.637256      b   .7            8-2
## 3     850 Manhattan        AG  4.467970      b   .7            8-2
## 4     579      Hays        EA  7.687615      b    1            8-2
## 5     472   Tribune        EA  6.572290      a    1            8-2
## 6     850 Manhattan        EA 15.118422     ab    1            8-2
## 7     472   Tribune        NP 14.583834      a  1.3            8-2
## 8     850 Manhattan        NP 26.750084     a   1.3            8-2
## 9     579      Hays        NP 40.495560     a   1.3            8-2
## 10    472   Tribune        AG 19.599914      a  1.7         2-0.25
## 11    850 Manhattan        AG 52.686735      a  1.7         2-0.25
## 12    579      Hays        AG 32.008450      a  1.7         2-0.25
## 13    472   Tribune        EA 32.715244      a    2         2-0.25
## 14    579      Hays        EA 45.464665      a    2         2-0.25
## 15    850 Manhattan        EA 36.017346      a    2         2-0.25
## 16    472   Tribune        NP 18.032457      a  2.3         2-0.25
## 17    850 Manhattan        NP 37.692543      a  2.3         2-0.25
## 18    579      Hays        NP 32.094026      a  2.3         2-0.25
## 19    472   Tribune        AG 54.061937     a   2.7     0.25-0.053
## 20    850 Manhattan        AG 33.095686      a  2.7     0.25-0.053
## 21    579      Hays        AG 32.267456      b  2.7     0.25-0.053
## 22    472   Tribune        EA 41.100643     ab    3     0.25-0.053
## 23    579      Hays        EA 49.596737     a     3     0.25-0.053
## 24    850 Manhattan        EA 29.540473      a    3     0.25-0.053
## 25    579      Hays        NP 26.417570      b  3.3     0.25-0.053
## 26    472   Tribune        NP 33.014734      b  3.3     0.25-0.053
## 27    850 Manhattan        NP 20.066238      a  3.3     0.25-0.053
## 28    472   Tribune        AG  5.557500      a  3.7    0.053-0.020
## 29    579      Hays        AG  5.852500      b  3.7    0.053-0.020
## 30    850 Manhattan        AG  3.072500     ab  3.7    0.053-0.020
## 31    472   Tribune        EA  5.675000      a    4    0.053-0.020
## 32    850 Manhattan        EA  4.202500     a     4    0.053-0.020
## 33    579      Hays        EA 10.870000     a     4    0.053-0.020
## 34    579      Hays        NP  8.927500     a   4.3    0.053-0.020
## 35    472   Tribune        NP  5.085000      a  4.3    0.053-0.020
## 36    850 Manhattan        NP  1.410000      b  4.3    0.053-0.020
##   precip  location treatment    lsmean       SE       df  lower.CL  upper.CL
## 1    472   Tribune        NP 63.965361 3.395653 25.35995 56.976913 70.953809
## 2    472   Tribune        EA 18.059249 3.395653 25.35995 11.070801 25.047697
## 3    472   Tribune        AG  8.551010 3.395653 25.35995  1.562563 15.539458
## 4    579      Hays        NP 79.341536 3.395653 25.35995 72.353089 86.329984
## 5    579      Hays        EA 33.661765 3.395653 25.35995 26.673317 40.650213
## 6    579      Hays        AG  8.396014 3.395653 25.35995  1.407567 15.384462
## 7    850 Manhattan        NP 71.105925 3.395653 25.35995 64.117478 78.094373
## 8    850 Manhattan        EA 45.922074 3.395653 25.35995 38.933627 52.910522
## 9    850 Manhattan        AG  1.474729 3.972346 25.86318 -6.692648  9.642106
##   .group location_f
## 1     a     Tribune
## 2      b    Tribune
## 3      b    Tribune
## 4    a         Hays
## 5     b        Hays
## 6      c       Hays
## 7    a    Manhattan
## 8     b   Manhattan
## 9      c  Manhattan
##   precip  location treatment    lsmean       SE df   lower.CL  upper.CL .group
## 1    472   Tribune        NP 35.748582 2.917510 26 29.7515545 41.745610     a 
## 2    472   Tribune        AG  5.721995 2.917510 26 -0.2750325 11.719023      b
## 3    472   Tribune        EA  3.686833 2.917510 26 -2.3101946  9.683861      b
## 4    579      Hays        NP 67.060386 2.917510 26 61.0633580 73.057413     a 
## 5    579      Hays        EA  7.599869 2.917510 26  1.6028410 13.596896      b
## 6    579      Hays        AG  6.400527 2.917510 26  0.4034990 12.397554      b
## 7    850 Manhattan        NP 61.784932 2.917510 26 55.7879043 67.781959    a  
## 8    850 Manhattan        EA 32.138297 2.917510 26 26.1412695 38.135325     b 
## 9    850 Manhattan        AG  4.820744 3.452044 26 -2.2750349 11.916522      c
##   location_f
## 1    Tribune
## 2    Tribune
## 3    Tribune
## 4       Hays
## 5       Hays
## 6       Hays
## 7  Manhattan
## 8  Manhattan
## 9  Manhattan
##   precip  location treatment    lsmean       SE       df   lower.CL upper.CL
## 1    472   Tribune        NP 19.990638 3.794838 26.96694 12.2038258 27.77745
## 2    472   Tribune        EA  4.310915 3.794838 26.96694 -3.4758968 12.09773
## 3    472   Tribune        AG  4.156583 3.794838 26.96694 -3.6302288 11.94339
## 4    579      Hays        NP 51.534489 3.794838 26.96694 43.7476771 59.32130
## 5    579      Hays        AG 17.442633 3.794838 26.96694  9.6558211 25.22944
## 6    579      Hays        EA  7.009381 3.794838 26.96694 -0.7774306 14.79619
## 7    850 Manhattan        NP 54.878590 3.794838 26.96694 47.0917776 62.66540
## 8    850 Manhattan        EA 20.871680 3.794838 26.96694 13.0848680 28.65849
## 9    850 Manhattan        AG  9.891704 3.794838 26.96694  2.1048916 17.67852
##   .group location_f
## 1     a     Tribune
## 2      b    Tribune
## 3      b    Tribune
## 4     a        Hays
## 5      b       Hays
## 6      b       Hays
## 7     a   Manhattan
## 8      b  Manhattan
## 9      b  Manhattan

7.1 end

7.2 1) Load packages

library(readxl)
library(dplyr)
library(tidyr)
library(ggplot2)
library(janitor)
library(grid)
library(ggthemes)

library(extrafont)
#font_import()
loadfonts(device = "win")
windowsFonts(Times = windowsFont("TT Times New Roman"))


library(tidyverse)
library(corrplot)
#library(plyr)

library(ggpubr)
library(dplyr)

library(ggforce)

7.3 2) Import data

7.4 3) Data Wrangling

##  [1] "sample_name" "location"    "treatment"   "depth"       "replication"
##  [6] "bdepth"      "nhorizon"    "blk"         "horizon"     "x20wsa2000" 
## [11] "x20wsa250"   "x20wsa53"    "x20wsa20"    "x20mwd"      "x5wsa2000"  
## [16] "x5wsa250"    "x5wsa53"     "x5wsa20"     "x5mwd"       "nagg"

7.5 4) Theme James Bar

7.6 5) Theme James Correlation

8 Correlation Matrix

##  [1] "location"    "treatment"   "bdepth"      "horizon"     "blk"        
##  [6] "replication" "x20wsa2000"  "x20wsa250"   "x20wsa53"    "x20wsa20"   
## [11] "x20mwd"      "x5wsa2000"   "x5wsa250"    "x5wsa53"     "x5wsa20"    
## [16] "x5mwd"       "nagg"        "location_f"

9 20 min Aggregate Graphs

9.1 Aggregate function

9.2 0-5 cm 20 minutes

9.3 5-10 cm 20 minutes

9.4 10-15 cm 20 minutes

9.5 15-25 cm 20 minutes

10 5 min Aggregate Graphs

10.1 Aggregate function

10.2 0-5 cm 5 minutes

10.3 5-10 cm 5 minutes

10.4 10-15 cm 5 minutes

10.5 15-25 cm 5 minutes

#Final dataframes

##    precip  location treatment     lsmean .group xloc aggregate_size
## 1     579      Hays        AG  0.9315208      b   .7            8-2
## 2     472   Tribune        AG  8.7304187      b   .7            8-2
## 3     850 Manhattan        AG  1.9782694      b   .7            8-2
## 4     472   Tribune        EA  8.8448459      b    1            8-2
## 5     579      Hays        EA  9.3305850      b    1            8-2
## 6     850 Manhattan        EA 11.4886335      b    1            8-2
## 7     472   Tribune        NP 26.3313434     a   1.3            8-2
## 8     850 Manhattan        NP 25.3077401     a   1.3            8-2
## 9     579      Hays        NP 30.8387700     a   1.3            8-2
## 10    579      Hays        AG 11.9734301      b  1.7         2-0.25
## 11    472   Tribune        AG 14.4454999      b  1.7         2-0.25
## 12    850 Manhattan        AG 17.6278247      c  1.7         2-0.25
## 13    472   Tribune        EA 16.2781993      b    2         2-0.25
## 14    579      Hays        EA 22.0219300     a     2         2-0.25
## 15    850 Manhattan        EA 24.9732871     b     2         2-0.25
## 16    472   Tribune        NP 25.6052664     a   2.3         2-0.25
## 17    850 Manhattan        NP 37.2452781    a    2.3         2-0.25
## 18    579      Hays        NP 28.5391700     a   2.3         2-0.25
## 19    472   Tribune        AG 53.0739889     a   2.7     0.25-0.053
## 20    850 Manhattan        AG 61.1650379    a    2.7     0.25-0.053
## 21    579      Hays        AG 69.7972833    a    2.7     0.25-0.053
## 22    472   Tribune        EA 49.1307814     a     3     0.25-0.053
## 23    579      Hays        EA 47.9366450     b     3     0.25-0.053
## 24    850 Manhattan        EA 47.3814008     b     3     0.25-0.053
## 25    579      Hays        NP 14.9092950      c  3.3     0.25-0.053
## 26    472   Tribune        NP 22.2972642      b  3.3     0.25-0.053
## 27    850 Manhattan        NP 16.5634973      c  3.3     0.25-0.053
## 28    472   Tribune        AG  6.1575000     a   3.7    0.053-0.020
## 29    850 Manhattan        AG  7.2450000     a   3.7    0.053-0.020
## 30    579      Hays        AG  5.2825000     a   3.7    0.053-0.020
## 31    472   Tribune        EA  3.9900000     ab    4    0.053-0.020
## 32    579      Hays        EA  3.3750000     a     4    0.053-0.020
## 33    850 Manhattan        EA  5.1450000     a     4    0.053-0.020
## 34    579      Hays        NP  1.0475000      b  4.3    0.053-0.020
## 35    472   Tribune        NP  1.9500000      b  4.3    0.053-0.020
## 36    850 Manhattan        NP  1.9325000      b  4.3    0.053-0.020
##    precip  location treatment    lsmean .group xloc aggregate_size
## 1     472   Tribune        AG  7.158672      b   .7            8-2
## 2     850 Manhattan        AG  3.003322      b   .7            8-2
## 3     579      Hays        AG  1.369402      b   .7            8-2
## 4     472   Tribune        EA  2.303734      b    1            8-2
## 5     850 Manhattan        EA  8.197339      b    1            8-2
## 6     579      Hays        EA  4.312530      b    1            8-2
## 7     472   Tribune        NP 19.874634     a   1.3            8-2
## 8     850 Manhattan        NP 19.539639     a   1.3            8-2
## 9     579      Hays        NP 27.933098     a   1.3            8-2
## 10    472   Tribune        AG 31.380248     a   1.7         2-0.25
## 11    579      Hays        AG 12.446052      b  1.7         2-0.25
## 12    850 Manhattan        AG 19.009357      b  1.7         2-0.25
## 13    579      Hays        EA 29.768317     a     2         2-0.25
## 14    472   Tribune        EA 15.885406      b    2         2-0.25
## 15    850 Manhattan        EA 31.988045     ab    2         2-0.25
## 16    472   Tribune        NP 33.762260     a   2.3         2-0.25
## 17    850 Manhattan        NP 35.211923     a   2.3         2-0.25
## 18    579      Hays        NP 22.881412     ab  2.3         2-0.25
## 19    472   Tribune        AG 40.252754     b   2.7     0.25-0.053
## 20    850 Manhattan        AG 60.480425    a    2.7     0.25-0.053
## 21    579      Hays        AG 61.041555    a    2.7     0.25-0.053
## 22    472   Tribune        EA 60.538628    a      3     0.25-0.053
## 23    850 Manhattan        EA 45.043383     b     3     0.25-0.053
## 24    579      Hays        EA 47.547415     b     3     0.25-0.053
## 25    579      Hays        NP 28.361588      c  3.3     0.25-0.053
## 26    472   Tribune        NP 24.336891      c  3.3     0.25-0.053
## 27    850 Manhattan        NP 23.599879      c  3.3     0.25-0.053
## 28    472   Tribune        AG  4.107500     ab  3.7    0.053-0.020
## 29    579      Hays        AG  8.777500    a    3.7    0.053-0.020
## 30    850 Manhattan        AG  4.812500     ab  3.7    0.053-0.020
## 31    472   Tribune        EA  5.410000     a     4    0.053-0.020
## 32    850 Manhattan        EA  5.047500     a     4    0.053-0.020
## 33    579      Hays        EA  3.777500     b     4    0.053-0.020
## 34    579      Hays        NP  1.757500      c  4.3    0.053-0.020
## 35    472   Tribune        NP  2.182500      b  4.3    0.053-0.020
## 36    850 Manhattan        NP  3.040000      b  4.3    0.053-0.020
##    precip  location treatment    lsmean .group xloc aggregate_size
## 1     472   Tribune        AG  7.344079      b   .7            8-2
## 2     850 Manhattan        AG  2.653159      b   .7            8-2
## 3     579      Hays        AG  1.931631      b   .7            8-2
## 4     472   Tribune        EA  3.058975      b    1            8-2
## 5     850 Manhattan        EA  4.378598      b    1            8-2
## 6     579      Hays        EA  2.561610      b    1            8-2
## 7     472   Tribune        NP 26.297002     a   1.3            8-2
## 8     850 Manhattan        NP 25.368150     a   1.3            8-2
## 9     579      Hays        NP 23.871558     a   1.3            8-2
## 10    472   Tribune        AG 27.333662     ab  1.7         2-0.25
## 11    579      Hays        AG 32.940850      a  1.7         2-0.25
## 12    850 Manhattan        AG 29.494218      a  1.7         2-0.25
## 13    579      Hays        EA 18.866673      a    2         2-0.25
## 14    472   Tribune        EA 15.882277      b    2         2-0.25
## 15    850 Manhattan        EA 25.795000      a    2         2-0.25
## 16    472   Tribune        NP 31.521145     a   2.3         2-0.25
## 17    850 Manhattan        NP 37.563085      a  2.3         2-0.25
## 18    579      Hays        NP 23.263343      a  2.3         2-0.25
## 19    472   Tribune        AG 43.855421     a   2.7     0.25-0.053
## 20    850 Manhattan        AG 54.041827     a   2.7     0.25-0.053
## 21    579      Hays        AG 44.035286      b  2.7     0.25-0.053
## 22    472   Tribune        EA 51.129566     a     3     0.25-0.053
## 23    579      Hays        EA 59.985325     a     3     0.25-0.053
## 24    850 Manhattan        EA 52.365267     a     3     0.25-0.053
## 25    579      Hays        NP 32.689282      b  3.3     0.25-0.053
## 26    472   Tribune        NP 20.873743      b  3.3     0.25-0.053
## 27    850 Manhattan        NP 19.454231      b  3.3     0.25-0.053
## 28    472   Tribune        AG  4.412500      b  3.7    0.053-0.020
## 29    579      Hays        AG  7.827500     a   3.7    0.053-0.020
## 30    850 Manhattan        AG  3.470000      b  3.7    0.053-0.020
## 31    472   Tribune        EA  8.422500     a     4    0.053-0.020
## 32    850 Manhattan        EA  6.940000     a     4    0.053-0.020
## 33    579      Hays        EA  5.562500     a     4    0.053-0.020
## 34    579      Hays        NP  2.440000      b  4.3    0.053-0.020
## 35    472   Tribune        NP  1.615000      b  4.3    0.053-0.020
## 36    850 Manhattan        NP  1.732500      b  4.3    0.053-0.020
##    precip  location treatment    lsmean .group xloc aggregate_size
## 1     579      Hays        AG  1.563937      c   .7            8-2
## 2     472   Tribune        AG  6.619284      a   .7            8-2
## 3     850 Manhattan        AG  2.857780      c   .7            8-2
## 4     472   Tribune        EA 10.186894      a    1            8-2
## 5     850 Manhattan        EA 14.241278     b     1            8-2
## 6     579      Hays        EA 25.901540     b     1            8-2
## 7     472   Tribune        NP  8.822787      a  1.3            8-2
## 8     850 Manhattan        NP 25.434619    a    1.3            8-2
## 9     579      Hays        NP 44.065476    a    1.3            8-2
## 10    579      Hays        AG 27.649027      a  1.7         2-0.25
## 11    472   Tribune        AG  9.931781      b  1.7         2-0.25
## 12    850 Manhattan        AG 28.049438      b  1.7         2-0.25
## 13    472   Tribune        EA 29.018520     a     2         2-0.25
## 14    579      Hays        EA 26.595305      a    2         2-0.25
## 15    850 Manhattan        EA 31.323713      b    2         2-0.25
## 16    850 Manhattan        NP 44.262281     a   2.3         2-0.25
## 17    472   Tribune        NP 27.005202     a   2.3         2-0.25
## 18    579      Hays        NP 32.570016      a  2.3         2-0.25
## 19    472   Tribune        AG 51.284628     a   2.7     0.25-0.053
## 20    850 Manhattan        AG 52.782708    a    2.7     0.25-0.053
## 21    579      Hays        AG 46.220153     a   2.7     0.25-0.053
## 22    472   Tribune        EA 35.120163      b    3     0.25-0.053
## 23    579      Hays        EA 39.818455     a     3     0.25-0.053
## 24    850 Manhattan        EA 30.859602     b     3     0.25-0.053
## 25    579      Hays        NP 18.923355      b  3.3     0.25-0.053
## 26    472   Tribune        NP 23.414279      b  3.3     0.25-0.053
## 27    850 Manhattan        NP 12.952119      c  3.3     0.25-0.053
## 28    472   Tribune        AG  6.822500      a  3.7    0.053-0.020
## 29    579      Hays        AG  6.052500      b  3.7    0.053-0.020
## 30    850 Manhattan        AG  3.980000      a  3.7    0.053-0.020
## 31    579      Hays        EA 16.817500     a     4    0.053-0.020
## 32    472   Tribune        EA  4.965000      a    4    0.053-0.020
## 33    850 Manhattan        EA  3.775000      a    4    0.053-0.020
## 34    579      Hays        NP  8.617500      b  4.3    0.053-0.020
## 35    472   Tribune        NP  5.255000      a  4.3    0.053-0.020
## 36    850 Manhattan        NP  1.433954      a  4.3    0.053-0.020
##    precip  location treatment    lsmean .group xloc aggregate_size
## 1     472   Tribune        AG  7.358129      a   .7            8-2
## 2     850 Manhattan        AG  4.704605      c   .7            8-2
## 3     579      Hays        AG  3.551578      c   .7            8-2
## 4     472   Tribune        EA  3.989024      a    1            8-2
## 5     850 Manhattan        EA 18.601440     b     1            8-2
## 6     579      Hays        EA 10.999532     b     1            8-2
## 7     472   Tribune        NP  7.784108      a  1.3            8-2
## 8     850 Manhattan        NP 27.719093    a    1.3            8-2
## 9     579      Hays        NP 47.950775    a    1.3            8-2
## 10    579      Hays        AG 16.110140      b  1.7         2-0.25
## 11    472   Tribune        AG 15.926345      b  1.7         2-0.25
## 12    850 Manhattan        AG 41.277747      a  1.7         2-0.25
## 13    472   Tribune        EA 17.127007      b    2         2-0.25
## 14    579      Hays        EA 38.088665     a     2         2-0.25
## 15    850 Manhattan        EA 37.566067      a    2         2-0.25
## 16    472   Tribune        NP 36.000295     a   2.3         2-0.25
## 17    850 Manhattan        NP 44.207087      a  2.3         2-0.25
## 18    579      Hays        NP 37.440809     a   2.3         2-0.25
## 19    472   Tribune        AG 48.790371     a   2.7     0.25-0.053
## 20    850 Manhattan        AG 42.544111     a   2.7     0.25-0.053
## 21    579      Hays        AG 53.844274     a   2.7     0.25-0.053
## 22    472   Tribune        EA 56.268022     a     3     0.25-0.053
## 23    850 Manhattan        EA 23.878426      b    3     0.25-0.053
## 24    579      Hays        EA 52.739372     a     3     0.25-0.053
## 25    579      Hays        NP 26.004243      b  3.3     0.25-0.053
## 26    472   Tribune        NP 28.543049      b  3.3     0.25-0.053
## 27    850 Manhattan        NP 12.828371      b  3.3     0.25-0.053
## 28    472   Tribune        AG  7.580000      a  3.7    0.053-0.020
## 29    579      Hays        AG  5.632500      b  3.7    0.053-0.020
## 30    850 Manhattan        AG  2.252500      a  3.7    0.053-0.020
## 31    850 Manhattan        EA  4.247500      a    4    0.053-0.020
## 32    472   Tribune        EA  6.502500      a    4    0.053-0.020
## 33    579      Hays        EA 11.552500     a     4    0.053-0.020
## 34    579      Hays        NP  9.017500     a   4.3    0.053-0.020
## 35    472   Tribune        NP  4.895000      a  4.3    0.053-0.020
## 36    850 Manhattan        NP  1.715000      a  4.3    0.053-0.020
##    precip  location treatment    lsmean .group xloc aggregate_size
## 1     472   Tribune        AG  6.606750      a   .7            8-2
## 2     579      Hays        AG 11.637256      b   .7            8-2
## 3     850 Manhattan        AG  4.467970      b   .7            8-2
## 4     579      Hays        EA  7.687615      b    1            8-2
## 5     472   Tribune        EA  6.572290      a    1            8-2
## 6     850 Manhattan        EA 15.118422     ab    1            8-2
## 7     472   Tribune        NP 14.583834      a  1.3            8-2
## 8     850 Manhattan        NP 26.750084     a   1.3            8-2
## 9     579      Hays        NP 40.495560     a   1.3            8-2
## 10    472   Tribune        AG 19.599914      a  1.7         2-0.25
## 11    850 Manhattan        AG 52.686735      a  1.7         2-0.25
## 12    579      Hays        AG 32.008450      a  1.7         2-0.25
## 13    472   Tribune        EA 32.715244      a    2         2-0.25
## 14    579      Hays        EA 45.464665      a    2         2-0.25
## 15    850 Manhattan        EA 36.017346      a    2         2-0.25
## 16    472   Tribune        NP 18.032457      a  2.3         2-0.25
## 17    850 Manhattan        NP 37.692543      a  2.3         2-0.25
## 18    579      Hays        NP 32.094026      a  2.3         2-0.25
## 19    472   Tribune        AG 54.061937     a   2.7     0.25-0.053
## 20    850 Manhattan        AG 33.095686      a  2.7     0.25-0.053
## 21    579      Hays        AG 32.267456      b  2.7     0.25-0.053
## 22    472   Tribune        EA 41.100643     ab    3     0.25-0.053
## 23    579      Hays        EA 49.596737     a     3     0.25-0.053
## 24    850 Manhattan        EA 29.540473      a    3     0.25-0.053
## 25    579      Hays        NP 26.417570      b  3.3     0.25-0.053
## 26    472   Tribune        NP 33.014734      b  3.3     0.25-0.053
## 27    850 Manhattan        NP 20.066238      a  3.3     0.25-0.053
## 28    472   Tribune        AG  5.557500      a  3.7    0.053-0.020
## 29    579      Hays        AG  5.852500      b  3.7    0.053-0.020
## 30    850 Manhattan        AG  3.072500     ab  3.7    0.053-0.020
## 31    472   Tribune        EA  5.675000      a    4    0.053-0.020
## 32    850 Manhattan        EA  4.202500     a     4    0.053-0.020
## 33    579      Hays        EA 10.870000     a     4    0.053-0.020
## 34    579      Hays        NP  8.927500     a   4.3    0.053-0.020
## 35    472   Tribune        NP  5.085000      a  4.3    0.053-0.020
## 36    850 Manhattan        NP  1.410000      b  4.3    0.053-0.020

11 NRCS Aggregate Graphs

11.1 Aggregate function

11.2 0-5 cm NRCS

11.3 5-10 cm NRCS

11.4 10-15 cm NRCS

11.5 15-25 cm NRCS

#20 and 5 minute MWD

11.6 0-5 cm 5 minutes

12 Methods Comparison

12.1 Data Manipulation

12.2 20mwd and 5mwd Correlation graphs

use soils data frame and location_a and horizon_a

### Correlation plots for group depths

12.3 20mwd and NRCS Correlation graphs

use soils_b data frame and location_b and horizon_b

12.3.1 Correlation plots for group depths

12.4 NRCS and 5mwd Correlation graphs

use soils data frame and location_a and horizon_a

12.4.1 Correlation plots for group depths

12.5 MWD Bland-Altman plots

## NULL

## NULL
## 
## Call:
## lm(formula = x5mwd ~ x20mwd, data = soils)
## 
## Residuals:
##      Min       1Q   Median       3Q      Max 
## -1.80182 -0.29896 -0.05003  0.25248  1.69542 
## 
## Coefficients:
##             Estimate Std. Error t value Pr(>|t|)    
## (Intercept)  0.47598    0.08690   5.477 1.97e-07 ***
## x20mwd       0.77398    0.07955   9.730  < 2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 0.5386 on 139 degrees of freedom
## Multiple R-squared:  0.4051, Adjusted R-squared:  0.4009 
## F-statistic: 94.67 on 1 and 139 DF,  p-value: < 2.2e-16

12.5.1 Correlation plots for group depths