Input Data

brood <- read_csv("brood.csv")
brood$colony <- as.factor(brood$colony)
brood$treatment <- as.factor(brood$treatment)
brood$replicate<- as.factor(brood$replicate)
brood$qro <- as.factor(brood$qro)

drone.ce <- read_csv("drone.count.emerge.csv")
drone.ce$colony <- as.factor(drone.ce$colony)
drone.ce$treatment <- as.factor(drone.ce$treatment)
drone.ce$replicate<- as.factor(drone.ce$replicate)
drone.ce$qro <- as.factor(drone.ce$qro)

drone.h <- read_csv("drone.health.csv")
drone.h$colony <- as.factor(drone.h$colony)
drone.h$treatment <- as.factor(drone.h$treatment)
drone.h$replicate<- as.factor(drone.h$replicate)
drone.h$qro <- as.factor(drone.h$qro)

pollen <- read_csv("pollen.csv")
pollen$colony <- as.factor(pollen$colony)
pollen$treatment <- as.factor(pollen$treatment)
pollen$replicate<- as.factor(pollen$replicate)

qro <- read_csv("qro.csv")
qro$colony <- as.factor(qro$colony)
qro$qro <- as.factor(qro$qro)
pollen <- merge(pollen, qro, by.x = "colony")
pollen <- na.omit(pollen)
pollen$qro <- as.factor(pollen$qro)
# get rid of negative numbers
pollen$difference[pollen$difference < 0] <- NA
pollen <- na.omit(pollen)
range(pollen$difference)
## [1] 0.002715 1.565420
weights <- read_csv("weights.csv")
weights$colony <- as.factor(weights$colony)
weights$treatment <- as.factor(weights$treatment)
weights$replicate<- as.factor(weights$replicate)
weights$qro <- as.factor(weights$qro)

workers <- read_csv("workers.csv")
workers$colony <- as.factor(workers$colony)
workers$treatment <- as.factor(workers$treatment)
workers$replicate<- as.factor(workers$replicate)
workers$qro <- as.factor(workers$qro)
workers$alive_at_end <- as.logical(workers$alive_at_end)
workers$dead_at_end <- as.logical(workers$dead_at_end)

cbindworkers <- read.csv("cbindworkers.csv")
cbindworkers$colony <- as.factor(cbindworkers$colony)
cbindworkers$treatment <- as.factor(cbindworkers$treatment)
cbindworkers$replicate <- as.factor(cbindworkers$replicate)

Weight Change

w <- weights 

range(w$difference)
## [1]  3.79 18.50
u <- is.na(w)
unique(u)
##      colony whole.mean mean.dose round  dose treatment replicate brood_cells
## [1,]  FALSE      FALSE     FALSE FALSE FALSE     FALSE     FALSE       FALSE
##      honey_pot  eggs dead_larvae live_larvae dead_pupae live_pupae dead_drones
## [1,]     FALSE FALSE       FALSE       FALSE      FALSE      FALSE       FALSE
##      live_drones drones avg_pollen   qro duration dead_lp alive_lp alive  dead
## [1,]       FALSE  FALSE      FALSE FALSE    FALSE   FALSE    FALSE FALSE FALSE
##      first  last difference
## [1,] FALSE FALSE      FALSE
ggplot(w, aes(x = difference, fill = treatment)) +
  geom_histogram(position = "identity", binwidth = 0.5, col = I("black")) +
  scale_fill_viridis_d() +  # Use viridis_d() for the color-blind friendly palette
  ggtitle("Colony Weight Change") +
  labs(y = "Count", x = "Weight (g)")

shapiro.test(w$difference)
## 
##  Shapiro-Wilk normality test
## 
## data:  w$difference
## W = 0.97975, p-value = 0.6097
descdist(w$difference, discrete = FALSE)

## summary statistics
## ------
## min:  3.79   max:  18.5 
## median:  10.7 
## mean:  10.74422 
## estimated sd:  3.708625 
## estimated skewness:  0.1757572 
## estimated kurtosis:  2.431206
wmod.int <- glm(difference ~ treatment*whole.mean + alive + duration + replicate, data = w)
wmod1 <- glm(difference ~ treatment + whole.mean + alive + duration + replicate, data = w)

anova(wmod.int, wmod1, test = "Chisq")
## Analysis of Deviance Table
## 
## Model 1: difference ~ treatment * whole.mean + alive + duration + replicate
## Model 2: difference ~ treatment + whole.mean + alive + duration + replicate
##   Resid. Df Resid. Dev Df Deviance Pr(>Chi)
## 1        25     195.94                     
## 2        29     250.10 -4  -54.158   0.1407
AIC(wmod.int, wmod1)
##          df     AIC
## wmod.int 21 235.906
## wmod1    17 238.888
drop1(wmod1, test = "Chisq")
## Single term deletions
## 
## Model:
## difference ~ treatment + whole.mean + alive + duration + replicate
##            Df Deviance    AIC scaled dev.  Pr(>Chi)    
## <none>          250.10 238.89                          
## treatment   4   298.93 238.91      8.0254   0.09065 .  
## whole.mean  1   397.49 257.74     20.8492 4.969e-06 ***
## alive       1   268.12 240.02      3.1307   0.07683 .  
## duration    1   250.83 237.02      0.1309   0.71752    
## replicate   8   313.55 233.06     10.1745   0.25299    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
wmod2 <- update(wmod1, .~. -duration)

anova(wmod1, wmod2, test = "Chisq")
## Analysis of Deviance Table
## 
## Model 1: difference ~ treatment + whole.mean + alive + duration + replicate
## Model 2: difference ~ treatment + whole.mean + alive + replicate
##   Resid. Df Resid. Dev Df Deviance Pr(>Chi)
## 1        29     250.10                     
## 2        30     250.83 -1 -0.72848   0.7713
AIC(wmod1, wmod2)
##       df      AIC
## wmod1 17 238.8880
## wmod2 16 237.0189
drop1(wmod2, test = "Chisq")
## Single term deletions
## 
## Model:
## difference ~ treatment + whole.mean + alive + replicate
##            Df Deviance    AIC scaled dev.  Pr(>Chi)    
## <none>          250.83 237.02                          
## treatment   4   301.98 237.37      8.3513   0.07952 .  
## whole.mean  1   443.88 260.70     25.6856 4.018e-07 ***
## alive       1   274.43 239.07      4.0472   0.04424 *  
## replicate   8   320.77 232.09     11.0679   0.19788    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
wmod3 <- update(wmod2, .~. -replicate)

anova(wmod2, wmod3, test = "Chisq")
## Analysis of Deviance Table
## 
## Model 1: difference ~ treatment + whole.mean + alive + replicate
## Model 2: difference ~ treatment + whole.mean + alive
##   Resid. Df Resid. Dev Df Deviance Pr(>Chi)
## 1        30     250.83                     
## 2        38     320.77 -8   -69.94   0.3986
drop1(wmod3, test = "Chisq")
## Single term deletions
## 
## Model:
## difference ~ treatment + whole.mean + alive
##            Df Deviance    AIC scaled dev.  Pr(>Chi)    
## <none>          320.77 232.09                          
## treatment   4   372.88 230.86      6.7744    0.1483    
## whole.mean  1   516.19 251.50     21.4095 3.709e-06 ***
## alive       1   328.93 231.22      1.1302    0.2877    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
wmod3 <- update(wmod3, .~. -alive)
drop1(wmod3, test = "Chisq")
## Single term deletions
## 
## Model:
## difference ~ treatment + whole.mean
##            Df Deviance    AIC scaled dev.  Pr(>Chi)    
## <none>          328.93 231.22                          
## treatment   4   375.38 229.16      5.9447    0.2033    
## whole.mean  1   523.29 250.11     20.8939 4.854e-06 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Anova(wmod3)
## Analysis of Deviance Table (Type II tests)
## 
## Response: difference
##            LR Chisq Df Pr(>Chisq)    
## treatment    5.5078  4      0.239    
## whole.mean  23.0457  1  1.582e-06 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
wmod3
## 
## Call:  glm(formula = difference ~ treatment + whole.mean, data = w)
## 
## Coefficients:
## (Intercept)   treatment2   treatment3   treatment4   treatment5   whole.mean  
##       3.438        1.484        3.079        2.306        1.442       11.745  
## 
## Degrees of Freedom: 44 Total (i.e. Null);  39 Residual
## Null Deviance:       605.2 
## Residual Deviance: 328.9     AIC: 231.2
summary(wmod3)
## 
## Call:
## glm(formula = difference ~ treatment + whole.mean, data = w)
## 
## Deviance Residuals: 
##     Min       1Q   Median       3Q      Max  
## -8.3141  -1.6206  -0.0015   1.6194   7.0005  
## 
## Coefficients:
##             Estimate Std. Error t value Pr(>|t|)    
## (Intercept)    3.438      1.464   2.348   0.0240 *  
## treatment2     1.484      1.375   1.079   0.2870    
## treatment3     3.079      1.381   2.230   0.0316 *  
## treatment4     2.306      1.375   1.678   0.1014    
## treatment5     1.442      1.370   1.053   0.2989    
## whole.mean    11.745      2.447   4.801 2.34e-05 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for gaussian family taken to be 8.433975)
## 
##     Null deviance: 605.17  on 44  degrees of freedom
## Residual deviance: 328.93  on 39  degrees of freedom
## AIC: 231.22
## 
## Number of Fisher Scoring iterations: 2
wsum <- w %>%
  group_by(treatment) %>%
  summarise(m = mean(difference), 
            sd = sd(difference), 
            n = length(difference)) %>%
  mutate(se = sd/sqrt(n))

wdt <- setDT(as.data.frame(wsum))
wdt
##    treatment         m       sd n        se
## 1:         1  8.712222 4.019004 9 1.3396681
## 2:         2 10.786667 2.706511 9 0.9021702
## 3:         3 12.644444 4.078943 9 1.3596477
## 4:         4 11.611111 3.522941 9 1.1743136
## 5:         5  9.966667 3.589568 9 1.1965227
aw <- setDT(as.data.frame(Anova(wmod3)))
aw
##     LR Chisq Df   Pr(>Chisq)
## 1:  5.507845  4 2.390407e-01
## 2: 23.045699  1 1.581960e-06
we <- emmeans(wmod3, "treatment")
wp <- pairs(we)
wp <- as.data.frame(wp)
wp <- setDT(wp)
wp
##                    contrast    estimate       SE df     t.ratio   p.value
##  1: treatment1 - treatment2 -1.48367801 1.374540 39 -1.07939953 0.8159169
##  2: treatment1 - treatment3 -3.07899331 1.380509 39 -2.23033139 0.1901671
##  3: treatment1 - treatment4 -2.30634802 1.374573 39 -1.67786469 0.4589569
##  4: treatment1 - treatment5 -1.44181836 1.369577 39 -1.05274751 0.8290717
##  5: treatment2 - treatment3 -1.59531530 1.370112 39 -1.16436888 0.7711973
##  6: treatment2 - treatment4 -0.82267002 1.369020 39 -0.60091875 0.9741158
##  7: treatment2 - treatment5  0.04185964 1.378583 39  0.03036426 0.9999998
##  8: treatment3 - treatment4  0.77264528 1.370097 39  0.56393478 0.9794900
##  9: treatment3 - treatment5  1.63717494 1.386075 39  1.18115899 0.7619078
## 10: treatment4 - treatment5  0.86452966 1.378626 39  0.62709498 0.9697859
wtuk.means <- emmeans(object = wmod3,
                        specs = "treatment",
                        adjust = "Tukey",
                        type = "response")


wtuk.means
##  treatment emmean    SE df lower.CL upper.CL
##  1           9.08 0.971 39     6.46     11.7
##  2          10.57 0.969 39     7.95     13.2
##  3          12.16 0.973 39     9.53     14.8
##  4          11.39 0.969 39     8.77     14.0
##  5          10.52 0.975 39     7.89     13.2
## 
## Confidence level used: 0.95 
## Conf-level adjustment: sidak method for 5 estimates
wtkdt <- setDT(as.data.frame(wtuk.means))
wtkdt
##    treatment    emmean        SE df lower.CL upper.CL
## 1:         1  9.082055 0.9711042 39 6.460238 11.70387
## 2:         2 10.565733 0.9691369 39 7.949227 13.18224
## 3:         3 12.161048 0.9732666 39 9.533393 14.78870
## 4:         4 11.388403 0.9691545 39 8.771849 14.00496
## 5:         5 10.523873 0.9749772 39 7.891599 13.15615
w.cld.model <- cld(object = wtuk.means,
                     adjust = "Tukey",
                     Letters = letters,
                     alpha = 0.05)
w.cld.model
##  treatment emmean    SE df lower.CL upper.CL .group
##  1           9.08 0.971 39     6.46     11.7  a    
##  5          10.52 0.975 39     7.89     13.2  a    
##  2          10.57 0.969 39     7.95     13.2  a    
##  4          11.39 0.969 39     8.77     14.0  a    
##  3          12.16 0.973 39     9.53     14.8  a    
## 
## Confidence level used: 0.95 
## Conf-level adjustment: sidak method for 5 estimates 
## P value adjustment: tukey method for comparing a family of 5 estimates 
## significance level used: alpha = 0.05 
## NOTE: If two or more means share the same grouping symbol,
##       then we cannot show them to be different.
##       But we also did not show them to be the same.
wtuk.treatment <- as.data.frame(w.cld.model)
wtuk.treatment
##  treatment    emmean        SE df lower.CL upper.CL .group
##  1          9.082055 0.9711042 39 6.460238 11.70387  a    
##  5         10.523873 0.9749772 39 7.891599 13.15615  a    
##  2         10.565733 0.9691369 39 7.949227 13.18224  a    
##  4         11.388403 0.9691545 39 8.771849 14.00496  a    
##  3         12.161048 0.9732666 39 9.533393 14.78870  a    
## 
## Confidence level used: 0.95 
## Conf-level adjustment: sidak method for 5 estimates 
## P value adjustment: tukey method for comparing a family of 5 estimates 
## significance level used: alpha = 0.05 
## NOTE: If two or more means share the same grouping symbol,
##       then we cannot show them to be different.
##       But we also did not show them to be the same.
w_max <- w %>%
  group_by(treatment) %>%
  summarize(maxw = max(mean(difference)))


w_for_plotting <- full_join(wtuk.treatment, w_max,
                              by="treatment")

wsum
## # A tibble: 5 × 5
##   treatment     m    sd     n    se
##   <fct>     <dbl> <dbl> <int> <dbl>
## 1 1          8.71  4.02     9 1.34 
## 2 2         10.8   2.71     9 0.902
## 3 3         12.6   4.08     9 1.36 
## 4 4         11.6   3.52     9 1.17 
## 5 5          9.97  3.59     9 1.20
ggplot(data = wsum, aes(x = treatment, y = m, fill = treatment)) +
  geom_col(col = "black") +
  coord_cartesian(ylim = c(0, 20)) +
  scale_fill_viridis_d() +  # Use viridis_d() for the color-blind friendly palette
  geom_errorbar(aes(ymin = m - se, ymax = m + sd),
                position = position_dodge(2), width = 0.4, size = 1.5) +
  labs(y = "Mean Weight Difference") +
  ggtitle("Average Colony Weight Change(g) by Treatment") +
  scale_x_discrete(
    name = "Treatment",
    labels = c("0 PPB", "150 PPB", "1,500 PPB", "15,000 PPB", "150,000 PPB")
  ) +
  theme_classic(base_size = 30) +  # Adjust the base_size as needed
  annotate(
    geom = "text",
    x = 1, y = 19,
    label = " p = 0.24",
    size = 15  # Adjust the size of the annotation text as needed
  ) +
  annotate(
    geom = "text",
    x = c(1, 5, 2, 4, 3),
    y = c(14, 15, 14.5, 16, 18),
    label = c("a", "a", "a", "a", "a"),
    size = 20  # Adjust the size of the annotation text as needed
  ) +
  theme(legend.position = "none")
## Warning: Using `size` aesthetic for lines was deprecated in ggplot2 3.4.0.
## ℹ Please use `linewidth` instead.
## This warning is displayed once every 8 hours.
## Call `lifecycle::last_lifecycle_warnings()` to see where this warning was
## generated.

ggplot(w, aes(x = whole.mean, y = difference, color = treatment)) +
  geom_point(size = 5)+
  ggtitle("Amount of Pollen  Consumed vs. Average Colony Weight Change")+
  xlab("Mean Polen Consumption(g)") +
  ylab("Mean Weight(g)") +
  scale_fill_viridis_d() +
  theme(text = element_text(size = 20)) +
  geom_smooth(method = "lm", color = "black")

Pollen Consumption

shapiro.test(pollen$difference)
## 
##  Shapiro-Wilk normality test
## 
## data:  pollen$difference
## W = 0.84265, p-value < 2.2e-16
pollen$sq <- (pollen$difference)^(1/3)

pollen$box <- bcPower(pollen$difference, -3, gamma=1)

shapiro.test(pollen$sq)
## 
##  Shapiro-Wilk normality test
## 
## data:  pollen$sq
## W = 0.9442, p-value < 2.2e-16
shapiro.test(pollen$box)
## 
##  Shapiro-Wilk normality test
## 
## data:  pollen$box
## W = 0.9588, p-value = 2.044e-15
ggplot(pollen, aes(x = box, fill = treatment)) +
  geom_histogram(position = "identity", binwidth = 0.01, col = I("black")) +
  scale_fill_viridis_d() +  # Use viridis_d() for the color-blind friendly palette
  ggtitle("Pollen Consumption(g)") +
  labs(y = "Count", x = "Pollen (g)")

p1 <- aov(box ~ treatment + count + bees_alive + replicate, data = pollen )
drop1(p1, test = "Chisq")
## Single term deletions
## 
## Model:
## box ~ treatment + count + bees_alive + replicate
##            Df Sum of Sq    RSS     AIC  Pr(>Chi)    
## <none>                  2.5081 -5402.5              
## treatment   4   0.08144 2.5895 -5381.1 6.492e-06 ***
## count       1   0.61649 3.1246 -5202.3 < 2.2e-16 ***
## bees_alive  1   0.24627 2.7543 -5318.3 < 2.2e-16 ***
## replicate   8   0.53402 3.0421 -5240.9 < 2.2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
summary(p1)
##              Df Sum Sq Mean Sq F value   Pr(>F)    
## treatment     4 0.0735  0.0184   6.631 2.92e-05 ***
## count         1 0.3695  0.3695 133.326  < 2e-16 ***
## bees_alive    1 0.1899  0.1899  68.517 4.49e-16 ***
## replicate     8 0.5340  0.0668  24.087  < 2e-16 ***
## Residuals   905 2.5081  0.0028                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
plot(p1)

tuk <- glht(p1, linfct = mcp(treatment = "Tukey"))

tukcld <- cld(tuk)
tukcld
##   1   2   3   4   5 
## "a" "b" "b" "b" "a"
p3 <- lmer(difference ~ treatment + count + bees_alive + replicate + (1|colony), data = pollen)
plot(p3)

qqnorm(resid(p3));qqline(resid(p3)) 

Anova(p3)
## Analysis of Deviance Table (Type II Wald chisquare tests)
## 
## Response: difference
##               Chisq Df Pr(>Chisq)    
## treatment    2.7066  4     0.6081    
## count      184.5733  1  < 2.2e-16 ***
## bees_alive  24.7960  1  6.373e-07 ***
## replicate   35.7638  8  1.940e-05 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
p2 <- lmer(box ~ treatment*count + bees_alive + (1|colony), data = pollen )
plot(p2)

p2
## Linear mixed model fit by REML ['lmerMod']
## Formula: box ~ treatment * count + bees_alive + (1 | colony)
##    Data: pollen
## REML criterion at convergence: -2751.426
## Random effects:
##  Groups   Name        Std.Dev.
##  colony   (Intercept) 0.03372 
##  Residual             0.04850 
## Number of obs: 920, groups:  colony, 45
## Fixed Effects:
##      (Intercept)        treatment2        treatment3        treatment4  
##        7.584e-02         1.929e-02         1.120e-02         1.882e-02  
##       treatment5             count        bees_alive  treatment2:count  
##       -7.211e-03         4.071e-03         1.425e-02        -1.455e-04  
## treatment3:count  treatment4:count  treatment5:count  
##        5.332e-04        -3.714e-05         4.675e-04
summary(p2)
## Linear mixed model fit by REML ['lmerMod']
## Formula: box ~ treatment * count + bees_alive + (1 | colony)
##    Data: pollen
## 
## REML criterion at convergence: -2751.4
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -3.5872 -0.6298  0.0038  0.6769  2.9954 
## 
## Random effects:
##  Groups   Name        Variance Std.Dev.
##  colony   (Intercept) 0.001137 0.03372 
##  Residual             0.002352 0.04850 
## Number of obs: 920, groups:  colony, 45
## 
## Fixed effects:
##                    Estimate Std. Error t value
## (Intercept)       7.584e-02  2.365e-02   3.207
## treatment2        1.929e-02  1.930e-02   1.000
## treatment3        1.120e-02  1.919e-02   0.584
## treatment4        1.882e-02  1.936e-02   0.972
## treatment5       -7.211e-03  1.922e-02  -0.375
## count             4.071e-03  5.512e-04   7.387
## bees_alive        1.425e-02  3.768e-03   3.782
## treatment2:count -1.455e-04  8.168e-04  -0.178
## treatment3:count  5.332e-04  7.759e-04   0.687
## treatment4:count -3.714e-05  8.087e-04  -0.046
## treatment5:count  4.676e-04  7.955e-04   0.588
## 
## Correlation of Fixed Effects:
##             (Intr) trtmn2 trtmn3 trtmn4 trtmn5 count  bes_lv trtm2: trtm3:
## treatment2  -0.401                                                        
## treatment3  -0.414  0.492                                                 
## treatment4  -0.452  0.488  0.492                                          
## treatment5  -0.421  0.492  0.495  0.492                                   
## count       -0.479  0.332  0.337  0.347  0.339                            
## bees_alive  -0.821  0.002  0.014  0.066  0.024  0.254                     
## trtmnt2:cnt  0.229 -0.502 -0.226 -0.227 -0.226 -0.646 -0.057              
## trtmnt3:cnt  0.278 -0.236 -0.495 -0.242 -0.239 -0.691 -0.104  0.454       
## trtmnt4:cnt  0.243 -0.226 -0.228 -0.507 -0.229 -0.656 -0.071  0.434  0.460
## trtmnt5:cnt  0.294 -0.230 -0.233 -0.237 -0.492 -0.681 -0.129  0.445  0.474
##             trtm4:
## treatment2        
## treatment3        
## treatment4        
## treatment5        
## count             
## bees_alive        
## trtmnt2:cnt       
## trtmnt3:cnt       
## trtmnt4:cnt       
## trtmnt5:cnt  0.451
Anova(p2)
## Analysis of Deviance Table (Type II Wald chisquare tests)
## 
## Response: box
##                    Chisq Df Pr(>Chisq)    
## treatment         3.0609  4  0.5476799    
## count           246.6972  1  < 2.2e-16 ***
## bees_alive       14.3030  1  0.0001556 ***
## treatment:count   1.1537  4  0.8856630    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
AP <- setDT(as.data.frame(Anova(p2)))
AP
##         Chisq Df   Pr(>Chisq)
## 1:   3.060938  4 5.476799e-01
## 2: 246.697184  1 1.363020e-55
## 3:  14.302979  1 1.556184e-04
## 4:   1.153689  4 8.856630e-01
qqnorm(resid(p2));qqline(resid(p2)) 

drop1(p2, test = "Chisq")
## Single term deletions
## 
## Model:
## box ~ treatment * count + bees_alive + (1 | colony)
##                 npar     AIC     LRT   Pr(Chi)    
## <none>               -2835.7                      
## bees_alive         1 -2823.0 14.6401 0.0001301 ***
## treatment:count    4 -2842.5  1.1425 0.8874664    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
pe <- emmeans(p2, pairwise ~ treatment, type = "response")
pe
## $emmeans
##  treatment emmean     SE   df lower.CL upper.CL
##  1          0.193 0.0118 39.3    0.169    0.217
##  2          0.211 0.0118 39.9    0.187    0.235
##  3          0.211 0.0118 39.5    0.187    0.235
##  4          0.212 0.0119 40.3    0.188    0.236
##  5          0.192 0.0119 40.4    0.168    0.216
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## 
## $contrasts
##  contrast                 estimate     SE   df t.ratio p.value
##  treatment1 - treatment2 -0.017520 0.0167 39.6  -1.050  0.8305
##  treatment1 - treatment3 -0.017681 0.0167 39.4  -1.061  0.8253
##  treatment1 - treatment4 -0.018370 0.0167 39.6  -1.100  0.8052
##  treatment1 - treatment5  0.001528 0.0167 39.9   0.091  1.0000
##  treatment2 - treatment3 -0.000161 0.0167 39.6  -0.010  1.0000
##  treatment2 - treatment4 -0.000849 0.0168 40.2  -0.051  1.0000
##  treatment2 - treatment5  0.019049 0.0167 40.1   1.138  0.7856
##  treatment3 - treatment4 -0.000688 0.0167 40.1  -0.041  1.0000
##  treatment3 - treatment5  0.019210 0.0167 39.8   1.149  0.7796
##  treatment4 - treatment5  0.019898 0.0168 40.6   1.184  0.7601
## 
## Degrees-of-freedom method: kenward-roger 
## P value adjustment: tukey method for comparing a family of 5 estimates
pecld <- cld(object = pe, 
               adjust = "TUkey",
               alpha = 0.05,
               Letters = letters)

pecld
##  treatment emmean     SE   df lower.CL upper.CL .group
##  5          0.192 0.0119 40.4    0.160    0.224  a    
##  1          0.193 0.0118 39.3    0.162    0.225  a    
##  2          0.211 0.0118 39.9    0.179    0.243  a    
##  3          0.211 0.0118 39.5    0.179    0.243  a    
##  4          0.212 0.0119 40.3    0.180    0.244  a    
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## Conf-level adjustment: sidak method for 5 estimates 
## P value adjustment: tukey method for comparing a family of 5 estimates 
## significance level used: alpha = 0.05 
## NOTE: If two or more means share the same grouping symbol,
##       then we cannot show them to be different.
##       But we also did not show them to be the same.
sum <- pollen %>%
  group_by(treatment) %>%
  summarise(mean = mean(difference),
            sd = sd(difference),
            n = length(difference)) %>%
  mutate(se = sd/sqrt(n))

sum$plot <- sum$mean + sum$se

sum
## # A tibble: 5 × 6
##   treatment  mean    sd     n     se  plot
##   <fct>     <dbl> <dbl> <int>  <dbl> <dbl>
## 1 1         0.430 0.336   195 0.0240 0.454
## 2 2         0.502 0.348   180 0.0259 0.528
## 3 3         0.508 0.345   190 0.0250 0.533
## 4 4         0.488 0.342   178 0.0256 0.514
## 5 5         0.435 0.316   177 0.0238 0.458
sumdt <- setDT(as.data.frame(sum))
sumdt
##    treatment      mean        sd   n         se      plot
## 1:         1 0.4295408 0.3355322 195 0.02402796 0.4535687
## 2:         2 0.5016397 0.3475493 180 0.02590480 0.5275445
## 3:         3 0.5076188 0.3448961 190 0.02502139 0.5326402
## 4:         4 0.4880310 0.3416825 178 0.02561019 0.5136412
## 5:         5 0.4345232 0.3164491 177 0.02378577 0.4583089
emp <- emmeans(p2, pairwise ~ "treatment")
empdt <- setDT(as.data.frame(emp$emmeans))
ecpdt <- setDT(as.data.frame(emp$contrasts))
empdt
##    treatment    emmean         SE       df  lower.CL  upper.CL
## 1:         1 0.1932923 0.01177477 39.25663 0.1694806 0.2171041
## 2:         2 0.2108128 0.01181844 39.84801 0.1869240 0.2347016
## 3:         3 0.2109737 0.01179208 39.47997 0.1871313 0.2348162
## 4:         4 0.2116621 0.01185056 40.26260 0.1877161 0.2356081
## 5:         5 0.1917638 0.01187107 40.43920 0.1677796 0.2157480
ecpdt
##                    contrast      estimate         SE       df      t.ratio
##  1: treatment1 - treatment2 -0.0175204529 0.01668726 39.58739 -1.049929748
##  2: treatment1 - treatment3 -0.0176814309 0.01667131 39.42441 -1.060590169
##  3: treatment1 - treatment4 -0.0183697977 0.01669282 39.64919 -1.100461250
##  4: treatment1 - treatment5  0.0015284838 0.01672841 39.91434  0.091370562
##  5: treatment2 - treatment3 -0.0001609780 0.01668763 39.59994 -0.009646548
##  6: treatment2 - treatment4 -0.0008493449 0.01675036 40.17884 -0.050706079
##  7: treatment2 - treatment5  0.0190489367 0.01674232 40.06600  1.137771354
##  8: treatment3 - treatment4 -0.0006883669 0.01674047 40.06600 -0.041119928
##  9: treatment3 - treatment5  0.0192099147 0.01671822 39.83645  1.149040565
## 10: treatment4 - treatment5  0.0198982815 0.01679982 40.58776  1.184434406
##       p.value
##  1: 0.8304574
##  2: 0.8252618
##  3: 0.8052310
##  4: 0.9999835
##  5: 1.0000000
##  6: 0.9999984
##  7: 0.7856426
##  8: 0.9999993
##  9: 0.7795688
## 10: 0.7600889
ggplot(data = sum, aes(x=treatment, y = mean, fill = treatment)) +
  geom_col(col = "black") +
  coord_cartesian(ylim = c(0, 0.58)) +
  scale_fill_viridis_d() +
  geom_errorbar(aes(ymin = mean - se, ymax = mean + se), width = 0.2, position = position_dodge(0.9)) +
  labs(title = "Average Pollen Consumption per Treatment", x = "Treatment", y = "Mean Pollen Consumed (g)") +
  annotate(geom = "text",
    x = c(1, 2, 3, 4, 5),
    y = c(sum$plot + 0.05),
    label = c("a", "a", "a", "a", "a"),
    size = 8  # Adjust the size of the annotation text as needed
  ) +
  theme_classic(base_size = 20) +
  theme(legend.position = "none") +
  annotate(geom = "text",
           x = 1, y = 0.58,
           label = "P > 0.05",
           size = 10)

Whole Mean

wm1 <- glm(whole.mean ~ treatment + alive +  replicate + brood_cells + drones, data = brood)
summary(wm1)
## 
## Call:
## glm(formula = whole.mean ~ treatment + alive + replicate + brood_cells + 
##     drones, data = brood)
## 
## Deviance Residuals: 
##       Min         1Q     Median         3Q        Max  
## -0.168002  -0.028726  -0.005817   0.032292   0.156129  
## 
## Coefficients:
##               Estimate Std. Error t value Pr(>|t|)    
## (Intercept)  0.1560337  0.0505439   3.087  0.00442 ** 
## treatment2   0.0331195  0.0326879   1.013  0.31934    
## treatment3   0.0114362  0.0362968   0.315  0.75496    
## treatment4   0.0106155  0.0319558   0.332  0.74213    
## treatment5   0.0004372  0.0331180   0.013  0.98956    
## alive        0.0063722  0.0096655   0.659  0.51492    
## replicate2  -0.0671698  0.0450969  -1.489  0.14716    
## replicate3   0.0428798  0.0435337   0.985  0.33278    
## replicate4   0.0135469  0.0486152   0.279  0.78249    
## replicate5   0.0746653  0.0470832   1.586  0.12363    
## replicate7   0.0207619  0.0432419   0.480  0.63473    
## replicate9   0.0070622  0.0433163   0.163  0.87162    
## replicate11 -0.0228053  0.0440746  -0.517  0.60878    
## replicate12 -0.0275425  0.0456598  -0.603  0.55106    
## brood_cells  0.0058210  0.0009147   6.364 5.91e-07 ***
## drones       0.0075695  0.0026053   2.905  0.00695 ** 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for gaussian family taken to be 0.004469417)
## 
##     Null deviance: 1.45979  on 44  degrees of freedom
## Residual deviance: 0.12961  on 29  degrees of freedom
## AIC: -101.54
## 
## Number of Fisher Scoring iterations: 2
drop1(wm1, test = "Chisq")
## Single term deletions
## 
## Model:
## whole.mean ~ treatment + alive + replicate + brood_cells + drones
##             Df Deviance      AIC scaled dev.  Pr(>Chi)    
## <none>          0.12961 -101.539                          
## treatment    4  0.13580 -107.441       2.099 0.7176158    
## alive        1  0.13156 -102.870       0.669 0.4132482    
## replicate    8  0.18642 -101.184      16.355 0.0375664 *  
## brood_cells  1  0.31060  -64.212      39.328 3.583e-10 ***
## drones       1  0.16734  -92.043      11.497 0.0006972 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Anova(wm1)
## Analysis of Deviance Table (Type II tests)
## 
## Response: whole.mean
##             LR Chisq Df Pr(>Chisq)    
## treatment      1.385  4   0.846882    
## alive          0.435  1   0.509721    
## replicate     12.710  8   0.122211    
## brood_cells   40.495  1  1.972e-10 ***
## drones         8.441  1   0.003668 ** 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

Workers

Dry Weight

ggplot(workers, aes(x = dry_weight, fill = treatment)) +
  geom_histogram(position = "identity", binwidth = 0.002, col = I("black")) +
  scale_fill_viridis_d() +  # Use viridis_d() for the color-blind friendly palette
  ggtitle("Worker Dry Weight(g)") +
  labs(y = "Count", x = "Weight (g)")

shapiro.test(workers$dry_weight)
## 
##  Shapiro-Wilk normality test
## 
## data:  workers$dry_weight
## W = 0.906, p-value = 1.153e-10
workers$logdry <- log(workers$dry_weight)

shapiro.test(workers$logdry)
## 
##  Shapiro-Wilk normality test
## 
## data:  workers$logdry
## W = 0.98708, p-value = 0.04033
ggplot(workers, aes(x = logdry, fill = treatment)) +
  geom_histogram(position = "identity", binwidth = 0.05, col = I("black")) +
  scale_fill_viridis_d() +  # Use viridis_d() for the color-blind friendly palette
  ggtitle("Worker Dry Weight(g)") +
  labs(y = "Count", x = "Weight (g)")

wrkdry.int <- lmer(logdry ~ treatment*whole.mean + alive_at_end + colony_duration + days_alive + (1|colony), data = workers)
wrkdry1 <- lmer(logdry ~ treatment + whole.mean + alive_at_end + colony_duration + days_alive + (1|colony), data = workers)

anova(wrkdry.int, wrkdry1)
## Data: workers
## Models:
## wrkdry1: logdry ~ treatment + whole.mean + alive_at_end + colony_duration + days_alive + (1 | colony)
## wrkdry.int: logdry ~ treatment * whole.mean + alive_at_end + colony_duration + days_alive + (1 | colony)
##            npar    AIC    BIC  logLik deviance  Chisq Df Pr(>Chisq)
## wrkdry1      11 155.32 192.85 -66.662   133.32                     
## wrkdry.int   15 161.28 212.45 -65.640   131.28 2.0438  4     0.7277
drop1(wrkdry1, test = "Chisq")
## Single term deletions
## 
## Model:
## logdry ~ treatment + whole.mean + alive_at_end + colony_duration + 
##     days_alive + (1 | colony)
##                 npar    AIC    LRT   Pr(Chi)    
## <none>               155.32                     
## treatment          4 149.92  2.596    0.6275    
## whole.mean         1 185.17 31.842 1.672e-08 ***
## alive_at_end       1 153.44  0.118    0.7312    
## colony_duration    1 154.08  0.754    0.3851    
## days_alive         1 153.32  0.001    0.9796    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
wd1 <- update(wrkdry1, .~. -alive_at_end)
drop1(wd1, test = "Chisq")
## Single term deletions
## 
## Model:
## logdry ~ treatment + whole.mean + colony_duration + days_alive + 
##     (1 | colony)
##                 npar    AIC    LRT   Pr(Chi)    
## <none>               153.44                     
## treatment          4 148.03  2.584    0.6296    
## whole.mean         1 186.67 35.232 2.926e-09 ***
## colony_duration    1 152.12  0.677    0.4106    
## days_alive         1 151.51  0.066    0.7966    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
wd2 <- update(wd1, .~. -days_alive)
drop1(wd1, test = "Chisq")
## Single term deletions
## 
## Model:
## logdry ~ treatment + whole.mean + colony_duration + days_alive + 
##     (1 | colony)
##                 npar    AIC    LRT   Pr(Chi)    
## <none>               153.44                     
## treatment          4 148.03  2.584    0.6296    
## whole.mean         1 186.67 35.232 2.926e-09 ***
## colony_duration    1 152.12  0.677    0.4106    
## days_alive         1 151.51  0.066    0.7966    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
wd3 <- update(wd2, .~. -colony_duration)
drop1(wd3, test = "Chisq")
## Single term deletions
## 
## Model:
## logdry ~ treatment + whole.mean + (1 | colony)
##            npar    AIC    LRT   Pr(Chi)    
## <none>          151.81                     
## treatment     4 146.06  2.247    0.6903    
## whole.mean    1 188.94 39.135 3.955e-10 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
wd3
## Linear mixed model fit by REML ['lmerMod']
## Formula: logdry ~ treatment + whole.mean + (1 | colony)
##    Data: workers
## REML criterion at convergence: 157.7482
## Random effects:
##  Groups   Name        Std.Dev.
##  colony   (Intercept) 0.09229 
##  Residual             0.32110 
## Number of obs: 224, groups:  colony, 45
## Fixed Effects:
## (Intercept)   treatment2   treatment3   treatment4   treatment5   whole.mean  
##    -3.61018     -0.06123     -0.01718     -0.02813      0.04931      1.05864
Anova(wd3)
## Analysis of Deviance Table (Type II Wald chisquare tests)
## 
## Response: logdry
##              Chisq Df Pr(>Chisq)    
## treatment   1.9987  4      0.736    
## whole.mean 54.1859  1  1.824e-13 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
wa <- setDT(as.data.frame(((Anova(wd3)))))
wa
##        Chisq Df   Pr(>Chisq)
## 1:  1.998704  4 7.359973e-01
## 2: 54.185905  1 1.823905e-13
workdry <- workers %>%
  group_by(treatment) %>%
  summarise(a.m= mean(dry_weight), 
            sd.a = sd(dry_weight),
            n.a = length(dry_weight)) %>%
  mutate(sea = sd.a / sqrt(n.a))

workdry <- setDT(workdry)
workdry
##    treatment        a.m       sd.a n.a         sea
## 1:         1 0.04741244 0.02047277  45 0.003051901
## 2:         2 0.04555133 0.01594982  45 0.002377659
## 3:         3 0.04992178 0.02039617  45 0.003040482
## 4:         4 0.04874068 0.02274766  44 0.003429339
## 5:         5 0.04778982 0.01760140  45 0.002623861
workdryem <- emmeans(wmod3, ~treatment, type = "response")
workdryem
##  treatment emmean    SE df lower.CL upper.CL
##  1           9.08 0.971 39     7.12     11.0
##  2          10.57 0.969 39     8.61     12.5
##  3          12.16 0.973 39    10.19     14.1
##  4          11.39 0.969 39     9.43     13.3
##  5          10.52 0.975 39     8.55     12.5
## 
## Confidence level used: 0.95
wp <- as.data.frame(pairs(workdryem))
wp <- setDT(wp)
wp
##                    contrast    estimate       SE df     t.ratio   p.value
##  1: treatment1 - treatment2 -1.48367801 1.374540 39 -1.07939953 0.8159169
##  2: treatment1 - treatment3 -3.07899331 1.380509 39 -2.23033139 0.1901671
##  3: treatment1 - treatment4 -2.30634802 1.374573 39 -1.67786469 0.4589569
##  4: treatment1 - treatment5 -1.44181836 1.369577 39 -1.05274751 0.8290717
##  5: treatment2 - treatment3 -1.59531530 1.370112 39 -1.16436888 0.7711973
##  6: treatment2 - treatment4 -0.82267002 1.369020 39 -0.60091875 0.9741158
##  7: treatment2 - treatment5  0.04185964 1.378583 39  0.03036426 0.9999998
##  8: treatment3 - treatment4  0.77264528 1.370097 39  0.56393478 0.9794900
##  9: treatment3 - treatment5  1.63717494 1.386075 39  1.18115899 0.7619078
## 10: treatment4 - treatment5  0.86452966 1.378626 39  0.62709498 0.9697859
wde <- as.data.frame(workdryem)
wde2 <- setDT(wde)
wde2
##    treatment    emmean        SE df  lower.CL upper.CL
## 1:         1  9.082055 0.9711042 39  7.117811 11.04630
## 2:         2 10.565733 0.9691369 39  8.605468 12.52600
## 3:         3 12.161048 0.9732666 39 10.192431 14.12967
## 4:         4 11.388403 0.9691545 39  9.428103 13.34870
## 5:         5 10.523873 0.9749772 39  8.551795 12.49595
workcld <- cld(object = workdryem, 
               adjust = "TUkey",
               alpha = 0.05,
               Letters = letters)
workcld
##  treatment emmean    SE df lower.CL upper.CL .group
##  1           9.08 0.971 39     6.46     11.7  a    
##  5          10.52 0.975 39     7.89     13.2  a    
##  2          10.57 0.969 39     7.95     13.2  a    
##  4          11.39 0.969 39     8.77     14.0  a    
##  3          12.16 0.973 39     9.53     14.8  a    
## 
## Confidence level used: 0.95 
## Conf-level adjustment: sidak method for 5 estimates 
## P value adjustment: tukey method for comparing a family of 5 estimates 
## significance level used: alpha = 0.05 
## NOTE: If two or more means share the same grouping symbol,
##       then we cannot show them to be different.
##       But we also did not show them to be the same.
emmdf2 <- as.data.frame(workcld)

emmdf2
##  treatment    emmean        SE df lower.CL upper.CL .group
##  1          9.082055 0.9711042 39 6.460238 11.70387  a    
##  5         10.523873 0.9749772 39 7.891599 13.15615  a    
##  2         10.565733 0.9691369 39 7.949227 13.18224  a    
##  4         11.388403 0.9691545 39 8.771849 14.00496  a    
##  3         12.161048 0.9732666 39 9.533393 14.78870  a    
## 
## Confidence level used: 0.95 
## Conf-level adjustment: sidak method for 5 estimates 
## P value adjustment: tukey method for comparing a family of 5 estimates 
## significance level used: alpha = 0.05 
## NOTE: If two or more means share the same grouping symbol,
##       then we cannot show them to be different.
##       But we also did not show them to be the same.
workdry$plot <- workdry$a.m + workdry$sea

ggplot(data = workdry, aes(x = treatment, y = a.m, fill = treatment)) +
  geom_col(col = "black") +
  coord_cartesian(ylim = c(0, 0.06)) +
  scale_fill_viridis_d() +  # Use viridis_d() for the color-blind friendly palette
  geom_errorbar(aes(ymax = a.m + sea, ymin = a.m - sea),
                position = position_dodge(2), width = 0.4, size = 1.5) +
  labs(y = "Average Worker Dry Weight(g)") +
  ggtitle("Average Worker Dry Weight(g) by Treatment") +
  scale_x_discrete(
    name = "Treatment",
    labels = c("0 PPB", "150 PPB", "1,500 PPB", "15,000 PPB", "150,000 PPB")
  ) +
  theme_classic(base_size = 30) +  # Adjust the base_size as needed
  annotate(
    geom = "text",
    x = 1, y = 0.06,
    label = " p = 0.74",
    size = 15  # Adjust the size of the annotation text as needed
  ) +
  annotate(
    geom = "text",
    x = c(1, 5, 2, 4, 3),
    y = c(0.055, 0.055, 0.054, 0.057, 0.056),
    label = c("a", "a", "a", "a", "a"),
    size = 20  # Adjust the size of the annotation text as needed
  ) +
  theme(legend.position = "none")

ggplot(workers, aes(x = whole.mean, y = dry_weight, color = treatment)) +
  geom_point(size = 5)+
  ggtitle("Amount of Pollen  Consumed vs. Average Worker Dry Weight")+
  xlab("Mean Polen Consumption(g)") +
  ylab("Mean Dry Weight(g)") +
  scale_fill_viridis_d() +
  theme(text = element_text(size = 20)) +
  geom_smooth(method = "lm", color = "black")

Worker Survival

Days Alive
workers$survived <- as.logical(workers$survived)

wrkdays1 <- lmer(days_alive ~ treatment + whole.mean + colony_duration + replicate + dry_weight + (1|colony), data = workers)
drop1(wrkdays1, test = "Chisq")
## Single term deletions
## 
## Model:
## days_alive ~ treatment + whole.mean + colony_duration + replicate + 
##     dry_weight + (1 | colony)
##                 npar    AIC    LRT   Pr(Chi)    
## <none>               1408.8                     
## treatment          4 1409.8  8.968 0.0619080 .  
## whole.mean         1 1417.8 11.022 0.0009005 ***
## colony_duration    1 1457.8 51.014 9.171e-13 ***
## replicate          8 1418.6 25.779 0.0011459 ** 
## dry_weight         1 1407.1  0.324 0.5693793    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
wd2 <- update(wrkdays1, .~. -dry_weight)
drop1(wd2, test = "Chisq")
## Single term deletions
## 
## Model:
## days_alive ~ treatment + whole.mean + colony_duration + replicate + 
##     (1 | colony)
##                 npar    AIC    LRT   Pr(Chi)    
## <none>               1407.1                     
## treatment          4 1408.1  9.006 0.0609542 .  
## whole.mean         1 1419.5 14.414 0.0001467 ***
## colony_duration    1 1456.0 50.900 9.721e-13 ***
## replicate          8 1416.6 25.457 0.0013001 ** 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
qqnorm(resid(wd2));qqline(resid(wd2))

wd2
## Linear mixed model fit by REML ['lmerMod']
## Formula: days_alive ~ treatment + whole.mean + colony_duration + replicate +  
##     (1 | colony)
##    Data: workers
## REML criterion at convergence: 1346.341
## Random effects:
##  Groups   Name        Std.Dev.
##  colony   (Intercept) 1.625   
##  Residual             5.196   
## Number of obs: 224, groups:  colony, 45
## Fixed Effects:
##     (Intercept)       treatment2       treatment3       treatment4  
##         -7.4379           1.4261           1.0134          -0.5655  
##      treatment5       whole.mean  colony_duration       replicate2  
##          2.4923          10.4889           1.0263          -0.1383  
##      replicate3       replicate4       replicate5       replicate7  
##          0.3587          -3.5815          -5.1032          -1.0568  
##      replicate9      replicate11      replicate12  
##          0.5789           1.5052          -2.6992
Anova(wd2)
## Analysis of Deviance Table (Type II Wald chisquare tests)
## 
## Response: days_alive
##                    Chisq Df Pr(>Chisq)    
## treatment         6.3918  4  0.1717385    
## whole.mean       11.1579  1  0.0008367 ***
## colony_duration 135.4327  1  < 2.2e-16 ***
## replicate        22.2021  8  0.0045549 ** 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
cbind workers
cbw1 <- glm(cbind(alive, dead) ~ treatment + whole.mean + qro + duration, data = cbindworkers, family = binomial("logit"))
cbw2 <- glm(cbind(alive, dead) ~ treatment + whole.mean + replicate + duration, data = cbindworkers, family = binomial("logit"))
anova(cbw1, cbw2, test = "Chisq")
## Analysis of Deviance Table
## 
## Model 1: cbind(alive, dead) ~ treatment + whole.mean + qro + duration
## Model 2: cbind(alive, dead) ~ treatment + whole.mean + replicate + duration
##   Resid. Df Resid. Dev Df Deviance  Pr(>Chi)    
## 1        35     55.296                          
## 2        30     32.655  5   22.641 0.0003953 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
AIC(cbw1, cbw2)
##      df      AIC
## cbw1 10 98.07714
## cbw2 15 85.43635
drop1(cbw1, test = "Chisq")
## Single term deletions
## 
## Model:
## cbind(alive, dead) ~ treatment + whole.mean + qro + duration
##            Df Deviance     AIC    LRT  Pr(>Chi)    
## <none>          55.296  98.077                     
## treatment   4   75.837 110.618 20.541 0.0003904 ***
## whole.mean  1  106.167 146.948 50.871 9.865e-13 ***
## qro         3  100.520 137.301 45.224 8.291e-10 ***
## duration    1   72.405 113.186 17.108 3.531e-05 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
plot(cbw1)

plot(cbw2)

cbw1
## 
## Call:  glm(formula = cbind(alive, dead) ~ treatment + whole.mean + qro + 
##     duration, family = binomial("logit"), data = cbindworkers)
## 
## Coefficients:
## (Intercept)   treatment2   treatment3   treatment4   treatment5   whole.mean  
##      4.9227       1.7801       3.1766       0.6824       3.0456      11.3968  
##       qroB3        qroB4        qroB5     duration  
##     -1.1338      -5.8092      -3.3144      -0.1758  
## 
## Degrees of Freedom: 44 Total (i.e. Null);  35 Residual
## Null Deviance:       143.7 
## Residual Deviance: 55.3  AIC: 98.08
Anova(cbw1)
## Analysis of Deviance Table (Type II tests)
## 
## Response: cbind(alive, dead)
##            LR Chisq Df Pr(>Chisq)    
## treatment    20.541  4  0.0003904 ***
## whole.mean   50.871  1  9.865e-13 ***
## qro          45.224  3  8.291e-10 ***
## duration     17.108  1  3.531e-05 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
acw <- setDT(as.data.frame(Anova(cbw1)))
acw
##    LR Chisq Df   Pr(>Chisq)
## 1: 20.54104  4 3.904029e-04
## 2: 50.87087  1 9.864667e-13
## 3: 45.22428  3 8.290881e-10
## 4: 17.10837  1 3.530640e-05
emm1 <- emmeans(cbw1, pairwise ~ treatment, type = "response")
pairs(emm1)
##  contrast                odds.ratio      SE  df null z.ratio p.value
##  treatment1 / treatment2     0.1686  0.1255 Inf    1  -2.391  0.1176
##  treatment1 / treatment3     0.0417  0.0405 Inf    1  -3.272  0.0094
##  treatment1 / treatment4     0.5054  0.3493 Inf    1  -0.987  0.8612
##  treatment1 / treatment5     0.0476  0.0433 Inf    1  -3.345  0.0074
##  treatment2 / treatment3     0.2475  0.2213 Inf    1  -1.562  0.5221
##  treatment2 / treatment4     2.9973  2.5498 Inf    1   1.290  0.6972
##  treatment2 / treatment5     0.2821  0.2340 Inf    1  -1.526  0.5457
##  treatment3 / treatment4    12.1119 12.6742 Inf    1   2.384  0.1197
##  treatment3 / treatment5     1.1400  1.0911 Inf    1   0.137  0.9999
##  treatment4 / treatment5     0.0941  0.0938 Inf    1  -2.371  0.1233
## 
## Results are averaged over the levels of: qro 
## P value adjustment: tukey method for comparing a family of 5 estimates 
## Tests are performed on the log odds ratio scale
emm1
## $emmeans
##  treatment  prob     SE  df asymp.LCL asymp.UCL
##  1         0.569 0.1039 Inf     0.365     0.752
##  2         0.887 0.0591 Inf     0.712     0.961
##  3         0.969 0.0251 Inf     0.858     0.994
##  4         0.723 0.1275 Inf     0.428     0.901
##  5         0.965 0.0251 Inf     0.865     0.992
## 
## Results are averaged over the levels of: qro 
## Confidence level used: 0.95 
## Intervals are back-transformed from the logit scale 
## 
## $contrasts
##  contrast                odds.ratio      SE  df null z.ratio p.value
##  treatment1 / treatment2     0.1686  0.1255 Inf    1  -2.391  0.1176
##  treatment1 / treatment3     0.0417  0.0405 Inf    1  -3.272  0.0094
##  treatment1 / treatment4     0.5054  0.3493 Inf    1  -0.987  0.8612
##  treatment1 / treatment5     0.0476  0.0433 Inf    1  -3.345  0.0074
##  treatment2 / treatment3     0.2475  0.2213 Inf    1  -1.562  0.5221
##  treatment2 / treatment4     2.9973  2.5498 Inf    1   1.290  0.6972
##  treatment2 / treatment5     0.2821  0.2340 Inf    1  -1.526  0.5457
##  treatment3 / treatment4    12.1119 12.6742 Inf    1   2.384  0.1197
##  treatment3 / treatment5     1.1400  1.0911 Inf    1   0.137  0.9999
##  treatment4 / treatment5     0.0941  0.0938 Inf    1  -2.371  0.1233
## 
## Results are averaged over the levels of: qro 
## P value adjustment: tukey method for comparing a family of 5 estimates 
## Tests are performed on the log odds ratio scale
emmdf <- as.data.frame(emm1$contrasts)
emmdf
##  contrast                odds.ratio        SE  df null z.ratio p.value
##  treatment1 / treatment2   0.168615  0.125511 Inf    1  -2.391  0.1176
##  treatment1 / treatment3   0.041727  0.040505 Inf    1  -3.272  0.0094
##  treatment1 / treatment4   0.505393  0.349343 Inf    1  -0.987  0.8612
##  treatment1 / treatment5   0.047569  0.043314 Inf    1  -3.345  0.0074
##  treatment2 / treatment3   0.247469  0.221268 Inf    1  -1.562  0.5221
##  treatment2 / treatment4   2.997324  2.549782 Inf    1   1.290  0.6972
##  treatment2 / treatment5   0.282117  0.234013 Inf    1  -1.526  0.5457
##  treatment3 / treatment4  12.111902 12.674160 Inf    1   2.384  0.1197
##  treatment3 / treatment5   1.140009  1.091140 Inf    1   0.137  0.9999
##  treatment4 / treatment5   0.094123  0.093819 Inf    1  -2.371  0.1233
## 
## Results are averaged over the levels of: qro 
## P value adjustment: tukey method for comparing a family of 5 estimates 
## Tests are performed on the log odds ratio scale
workcld <- cld(object = emm1,
               adjust = "Tukey",
               alpha = 0.05,
               Letters = letters)

workcld 
##  treatment  prob     SE  df asymp.LCL asymp.UCL .group
##  1         0.569 0.1039 Inf     0.308     0.797  a    
##  4         0.723 0.1275 Inf     0.337     0.931  ab   
##  2         0.887 0.0591 Inf     0.634     0.973  ab   
##  5         0.965 0.0251 Inf     0.803     0.995   b   
##  3         0.969 0.0251 Inf     0.783     0.996   b   
## 
## Results are averaged over the levels of: qro 
## Confidence level used: 0.95 
## Conf-level adjustment: sidak method for 5 estimates 
## Intervals are back-transformed from the logit scale 
## P value adjustment: tukey method for comparing a family of 5 estimates 
## Tests are performed on the log odds ratio scale 
## significance level used: alpha = 0.05 
## NOTE: If two or more means share the same grouping symbol,
##       then we cannot show them to be different.
##       But we also did not show them to be the same.
workcld <- as.data.frame(workcld)

workcld$plot <- workcld$prob + workcld$asymp.UCL

workcld
##  treatment      prob         SE  df asymp.LCL asymp.UCL .group     plot
##  1         0.5688864 0.10394405 Inf 0.3075951 0.7967339  a     1.365620
##  4         0.7230672 0.12747855 Inf 0.3372412 0.9305434  ab    1.653611
##  2         0.8866979 0.05905240 Inf 0.6335663 0.9725444  ab    1.859242
##  5         0.9652054 0.02508011 Inf 0.8029056 0.9947340   b    1.959939
##  3         0.9693477 0.02510820 Inf 0.7829991 0.9964050   b    1.965753
## 
## Results are averaged over the levels of: qro 
## Confidence level used: 0.95 
## Conf-level adjustment: sidak method for 5 estimates 
## Intervals are back-transformed from the logit scale 
## P value adjustment: tukey method for comparing a family of 5 estimates 
## Tests are performed on the log odds ratio scale 
## significance level used: alpha = 0.05 
## NOTE: If two or more means share the same grouping symbol,
##       then we cannot show them to be different.
##       But we also did not show them to be the same.
ggplot(data = workcld, aes(x=treatment, y=prob, fill=treatment)) + 
  geom_col(position = "dodge", color = "black") +
  geom_errorbar(aes(ymin = prob - SE, ymax = prob + SE), width = 0.2, position = position_dodge(0.9)) + 
  coord_cartesian(ylim = c(0,1.3)) +
  labs(x = "Treatment", y = "Probability of Survival", title ="Probability of Worker Survival for Duration of Experiment") +
  theme(text = element_text(size = 20)) +                    
   annotate(geom = "text", 
          x = 1, y = 1.2,
          label = "P < 0.001",
          size = 8) +
  annotate(geom = "text",
           x = c(1, 2, 3, 4, 5),
           y = c(0.75, 1.1, 1.1, 1, 1.1),
           label = c("a", "ab", "b", "ab", "b"),
           size = 8) +
  theme(legend.position =  "none")

Brood Production

#Variables to keep = duration, treatment, whole mean, number alive, block, and qro 

brood1 <- glm.nb(brood_cells ~ treatment + whole.mean + alive + duration, data = brood)
brood2 <- glm.nb(brood_cells ~ treatment + whole.mean + alive + duration + replicate, data = brood)
## Warning in glm.nb(brood_cells ~ treatment + whole.mean + alive + duration + :
## alternation limit reached
emmeans(brood1, pairwise ~ treatment)
## $emmeans
##  treatment emmean     SE  df asymp.LCL asymp.UCL
##  1           3.43 0.1063 Inf      3.23      3.64
##  2           3.54 0.0991 Inf      3.34      3.73
##  3           3.53 0.0986 Inf      3.33      3.72
##  4           3.41 0.1018 Inf      3.21      3.61
##  5           3.36 0.1061 Inf      3.16      3.57
## 
## Results are given on the log (not the response) scale. 
## Confidence level used: 0.95 
## 
## $contrasts
##  contrast                estimate    SE  df z.ratio p.value
##  treatment1 - treatment2  -0.1039 0.148 Inf  -0.702  0.9561
##  treatment1 - treatment3  -0.0918 0.146 Inf  -0.629  0.9705
##  treatment1 - treatment4   0.0237 0.145 Inf   0.163  0.9998
##  treatment1 - treatment5   0.0709 0.154 Inf   0.461  0.9907
##  treatment2 - treatment3   0.0121 0.138 Inf   0.088  1.0000
##  treatment2 - treatment4   0.1275 0.142 Inf   0.896  0.8985
##  treatment2 - treatment5   0.1748 0.144 Inf   1.218  0.7411
##  treatment3 - treatment4   0.1154 0.140 Inf   0.825  0.9230
##  treatment3 - treatment5   0.1626 0.143 Inf   1.134  0.7885
##  treatment4 - treatment5   0.0472 0.149 Inf   0.318  0.9978
## 
## Results are given on the log (not the response) scale. 
## P value adjustment: tukey method for comparing a family of 5 estimates
brood2 <- glm(brood_cells ~ treatment + whole.mean + alive + duration + replicate + qro, data = brood, family = "poisson") #overdispersed
summary(brood2)
## 
## Call:
## glm(formula = brood_cells ~ treatment + whole.mean + alive + 
##     duration + replicate + qro, family = "poisson", data = brood)
## 
## Deviance Residuals: 
##     Min       1Q   Median       3Q      Max  
## -4.0227  -0.9214   0.0736   0.9484   2.3573  
## 
## Coefficients: (3 not defined because of singularities)
##              Estimate Std. Error z value Pr(>|z|)    
## (Intercept)  2.274381   0.204357  11.129   <2e-16 ***
## treatment2   0.039510   0.084349   0.468   0.6395    
## treatment3   0.111859   0.079845   1.401   0.1612    
## treatment4  -0.109472   0.084192  -1.300   0.1935    
## treatment5  -0.091775   0.092613  -0.991   0.3217    
## whole.mean   2.609927   0.258741  10.087   <2e-16 ***
## alive        0.077260   0.030415   2.540   0.0111 *  
## duration    -0.007328   0.004152  -1.765   0.0776 .  
## replicate2   0.162040   0.108199   1.498   0.1342    
## replicate3  -0.280237   0.111674  -2.509   0.0121 *  
## replicate4   0.081276   0.112527   0.722   0.4701    
## replicate5  -0.183881   0.117754  -1.562   0.1184    
## replicate7  -0.069792   0.104045  -0.671   0.5024    
## replicate9  -0.079930   0.108805  -0.735   0.4626    
## replicate11 -0.012759   0.117027  -0.109   0.9132    
## replicate12 -0.200823   0.140230  -1.432   0.1521    
## qroB3              NA         NA      NA       NA    
## qroB4              NA         NA      NA       NA    
## qroB5              NA         NA      NA       NA    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for poisson family taken to be 1)
## 
##     Null deviance: 526.03  on 44  degrees of freedom
## Residual deviance: 109.62  on 29  degrees of freedom
## AIC: 373.46
## 
## Number of Fisher Scoring iterations: 5
drop1(brood1, test = "Chisq")
## Single term deletions
## 
## Model:
## brood_cells ~ treatment + whole.mean + alive + duration
##            Df Deviance    AIC     LRT  Pr(>Chi)    
## <none>          60.842 356.16                      
## treatment   4   63.101 350.42   2.258  0.688397    
## whole.mean  1  160.948 454.27 100.105 < 2.2e-16 ***
## alive       1   67.616 360.93   6.773  0.009253 ** 
## duration    1   63.907 357.22   3.064  0.080034 .  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
brood4 <- glm.nb(brood_cells ~ treatment*whole.mean + alive + duration, data = brood)
anova(brood1, brood4, test = "Chisq")
## Likelihood ratio tests of Negative Binomial Models
## 
## Response: brood_cells
##                                       Model    theta Resid. df    2 x log-lik.
## 1 treatment + whole.mean + alive + duration 17.62812        37       -340.1606
## 2 treatment * whole.mean + alive + duration 19.92861        33       -333.6440
##     Test    df LR stat.   Pr(Chi)
## 1                                
## 2 1 vs 2     4 6.516653 0.1637441
AIC(brood1, brood4)
##        df      AIC
## brood1  9 358.1606
## brood4 13 359.6440
drop1(brood1, test = "Chisq")
## Single term deletions
## 
## Model:
## brood_cells ~ treatment + whole.mean + alive + duration
##            Df Deviance    AIC     LRT  Pr(>Chi)    
## <none>          60.842 356.16                      
## treatment   4   63.101 350.42   2.258  0.688397    
## whole.mean  1  160.948 454.27 100.105 < 2.2e-16 ***
## alive       1   67.616 360.93   6.773  0.009253 ** 
## duration    1   63.907 357.22   3.064  0.080034 .  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
brood3 <- update(brood1, .~. -duration)
anova(brood1, brood3, test = "Chisq")
## Likelihood ratio tests of Negative Binomial Models
## 
## Response: brood_cells
##                                       Model    theta Resid. df    2 x log-lik.
## 1            treatment + whole.mean + alive 16.00719        38       -343.1629
## 2 treatment + whole.mean + alive + duration 17.62812        37       -340.1606
##     Test    df LR stat.    Pr(Chi)
## 1                                 
## 2 1 vs 2     1 3.002336 0.08314454
AIC(brood1, brood3)
##        df      AIC
## brood1  9 358.1606
## brood3  8 359.1629
ab <- setDT(as.data.frame(Anova(brood3)))
ab
##     LR Chisq Df   Pr(>Chisq)
## 1:  2.091982  4 7.188455e-01
## 2: 92.661567  1 6.204688e-22
## 3:  8.357010  1 3.842023e-03
Anova(brood3)
## Analysis of Deviance Table (Type II tests)
## 
## Response: brood_cells
##            LR Chisq Df Pr(>Chisq)    
## treatment     2.092  4   0.718846    
## whole.mean   92.662  1  < 2.2e-16 ***
## alive         8.357  1   0.003842 ** 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
brood3
## 
## Call:  glm.nb(formula = brood_cells ~ treatment + whole.mean + alive, 
##     data = brood, init.theta = 16.00718545, link = log)
## 
## Coefficients:
## (Intercept)   treatment2   treatment3   treatment4   treatment5   whole.mean  
##     1.75174      0.04015      0.06645     -0.04033     -0.12599      2.67494  
##       alive  
##     0.10534  
## 
## Degrees of Freedom: 44 Total (i.e. Null);  38 Residual
## Null Deviance:       195.5 
## Residual Deviance: 61.09     AIC: 359.2
summary(brood3)
## 
## Call:
## glm.nb(formula = brood_cells ~ treatment + whole.mean + alive, 
##     data = brood, init.theta = 16.00718545, link = log)
## 
## Deviance Residuals: 
##     Min       1Q   Median       3Q      Max  
## -3.7761  -0.5725  -0.0396   0.4577   2.0208  
## 
## Coefficients:
##             Estimate Std. Error z value Pr(>|z|)    
## (Intercept)  1.75174    0.19242   9.104  < 2e-16 ***
## treatment2   0.04015    0.14762   0.272  0.78561    
## treatment3   0.06645    0.14891   0.446  0.65541    
## treatment4  -0.04033    0.14887  -0.271  0.78647    
## treatment5  -0.12599    0.15411  -0.818  0.41360    
## whole.mean   2.67494    0.27388   9.767  < 2e-16 ***
## alive        0.10534    0.03729   2.825  0.00473 ** 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for Negative Binomial(16.0072) family taken to be 1)
## 
##     Null deviance: 195.494  on 44  degrees of freedom
## Residual deviance:  61.088  on 38  degrees of freedom
## AIC: 359.16
## 
## Number of Fisher Scoring iterations: 1
## 
## 
##               Theta:  16.01 
##           Std. Err.:  5.89 
## 
##  2 x log-likelihood:  -343.163
emb1 <- emmeans(brood3, "treatment", type = "response")
emb <- setDT(as.data.frame(emb1))
emb
##    treatment response       SE  df asymp.LCL asymp.UCL
## 1:         1 32.14020 3.432741 Inf  26.06968  39.62427
## 2:         2 33.45700 3.386669 Inf  27.43624  40.79900
## 3:         3 34.34845 3.502438 Inf  28.12626  41.94714
## 4:         4 30.86983 3.225520 Inf  25.15325  37.88562
## 5:         5 28.33545 3.070770 Inf  22.91309  35.04100
pemb <- pairs(emb1)
pemb <- setDT(as.data.frame(pemb))
pemb
##                    contrast     ratio        SE  df null    z.ratio   p.value
##  1: treatment1 / treatment2 0.9606418 0.1418075 Inf    1 -0.2720116 0.9988017
##  2: treatment1 / treatment3 0.9357102 0.1393322 Inf    1 -0.4462529 0.9918070
##  3: treatment1 / treatment4 1.0411524 0.1549990 Inf    1  0.2708909 0.9988210
##  4: treatment1 / treatment5 1.1342752 0.1747998 Inf    1  0.8175732 0.9253307
##  5: treatment2 / treatment3 0.9740470 0.1383405 Inf    1 -0.1851468 0.9997380
##  6: treatment2 / treatment4 1.0838092 0.1567959 Inf    1  0.5563091 0.9811878
##  7: treatment2 / treatment5 1.1807472 0.1745650 Inf    1  1.1238118 0.7940119
##  8: treatment3 / treatment4 1.1126868 0.1605357 Inf    1  0.7400852 0.9470905
##  9: treatment3 / treatment5 1.2122077 0.1788611 Inf    1  1.3042588 0.6885789
## 10: treatment4 / treatment5 1.0894420 0.1648596 Inf    1  0.5661043 0.9799283
brood_sum <- brood %>%
  group_by(treatment) %>%
  summarise(mb = mean(brood_cells),
            nb = length(brood_cells), 
            sdb = sd(brood_cells)) %>%
  mutate(seb = (sdb/sqrt(nb)))
brood_sum
## # A tibble: 5 × 5
##   treatment    mb    nb   sdb   seb
##   <fct>     <dbl> <int> <dbl> <dbl>
## 1 1          33.8     9  22.6  7.53
## 2 2          36.9     9  11.2  3.74
## 3 3          45.6     9  26.2  8.73
## 4 4          36.7     9  18.3  6.09
## 5 5          29.6     9  17.5  5.82
bsdt <- setDT(brood_sum)
bsdt
##    treatment       mb nb      sdb      seb
## 1:         1 33.77778  9 22.59855 7.532850
## 2:         2 36.88889  9 11.21878 3.739595
## 3:         3 45.55556  9 26.19690 8.732301
## 4:         4 36.66667  9 18.27567 6.091889
## 5:         5 29.55556  9 17.45072 5.816908
plot(brood$treatment, brood$brood_cells)

ggplot(brood, aes(x = treatment, y = brood_cells, fill = treatment)) +
  geom_boxplot(alpha = 0.8, width = 0.5, outlier.shape = NA) +
  scale_fill_viridis_d() +
  labs(x = "Treatment", y = "Mean Count of Brood Cells", title = "Count of Brood Cells by Treatment") +
  theme_minimal() +
  theme(legend.position = "right")

Eggs

e1 <- glm.nb(eggs ~ treatment + whole.mean + alive + duration + replicate, data = brood)
## Warning in glm.nb(eggs ~ treatment + whole.mean + alive + duration + replicate,
## : alternation limit reached
e2 <- glm.nb(eggs ~ treatment*whole.mean + alive + duration + replicate, data = brood)
## Warning: glm.fit: algorithm did not converge
## Warning in glm.nb(eggs ~ treatment * whole.mean + alive + duration + replicate,
## : alternation limit reached
e3 <- glm(eggs~treatment + whole.mean + alive + duration + replicate, data = brood, family = "poisson")  #overdispersed
summary(e3)
## 
## Call:
## glm(formula = eggs ~ treatment + whole.mean + alive + duration + 
##     replicate, family = "poisson", data = brood)
## 
## Deviance Residuals: 
##     Min       1Q   Median       3Q      Max  
## -4.5537  -2.2550  -0.5861   1.2984   5.3899  
## 
## Coefficients:
##               Estimate Std. Error z value Pr(>|z|)    
## (Intercept)   1.894359   0.507357   3.734 0.000189 ***
## treatment2   -0.388560   0.150247  -2.586 0.009706 ** 
## treatment3   -1.040768   0.199456  -5.218 1.81e-07 ***
## treatment4   -0.784893   0.163062  -4.813 1.48e-06 ***
## treatment5   -1.006576   0.213488  -4.715 2.42e-06 ***
## whole.mean    2.403583   0.593611   4.049 5.14e-05 ***
## alive        -0.038265   0.060951  -0.628 0.530139    
## duration     -0.016010   0.011323  -1.414 0.157373    
## replicate2    0.234687   0.270782   0.867 0.386106    
## replicate3    0.648496   0.238550   2.718 0.006558 ** 
## replicate4    0.793796   0.277157   2.864 0.004182 ** 
## replicate5    1.054106   0.262475   4.016 5.92e-05 ***
## replicate7   -0.829084   0.326095  -2.542 0.011007 *  
## replicate9   -0.180211   0.299257  -0.602 0.547044    
## replicate11   0.004415   0.313806   0.014 0.988774    
## replicate12 -17.311783 865.142466  -0.020 0.984035    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for poisson family taken to be 1)
## 
##     Null deviance: 624.61  on 44  degrees of freedom
## Residual deviance: 251.66  on 29  degrees of freedom
## AIC: 404.05
## 
## Number of Fisher Scoring iterations: 14
anova(e1, e2, test = "Chisq")  
## Likelihood ratio tests of Negative Binomial Models
## 
## Response: eggs
##                                                   Model    theta Resid. df
## 1 treatment + whole.mean + alive + duration + replicate 1.192160        29
## 2 treatment * whole.mean + alive + duration + replicate 1.315937        25
##      2 x log-lik.   Test    df LR stat.   Pr(Chi)
## 1       -235.0951                                
## 2       -231.5166 1 vs 2     4 3.578446 0.4660511
AIC(e1, e2)
##    df      AIC
## e1 17 269.0951
## e2 21 273.5166
drop1(e1, test = "Chisq")
## Single term deletions
## 
## Model:
## eggs ~ treatment + whole.mean + alive + duration + replicate
##            Df Deviance    AIC     LRT Pr(>Chi)   
## <none>          48.088 267.10                    
## treatment   4   52.134 263.14  4.0458 0.399840   
## whole.mean  1   51.318 268.32  3.2300 0.072303 . 
## alive       1   48.127 265.13  0.0386 0.844310   
## duration    1   48.505 265.51  0.4169 0.518509   
## replicate   8   70.089 273.10 22.0012 0.004914 **
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
e4 <- update(e1, .~. -duration)
drop1(e4, test = "Chisq")
## Single term deletions
## 
## Model:
## eggs ~ treatment + whole.mean + alive + replicate
##            Df Deviance    AIC     LRT Pr(>Chi)   
## <none>          48.073 265.51                    
## treatment   4   52.420 261.86  4.3470 0.361082   
## whole.mean  1   50.999 266.44  2.9252 0.087205 . 
## alive       1   48.200 263.64  0.1270 0.721554   
## replicate   8   69.903 271.34 21.8294 0.005242 **
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
e5 <- update(e4, .~. -alive)
drop1(e5, test = "Chisq")
## Single term deletions
## 
## Model:
## eggs ~ treatment + whole.mean + replicate
##            Df Deviance    AIC     LRT Pr(>Chi)   
## <none>          48.236 263.64                    
## treatment   4   52.463 259.86  4.2268 0.376181   
## whole.mean  1   52.985 266.38  4.7488 0.029319 * 
## replicate   8   72.558 271.96 24.3217 0.002024 **
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
anova(e4, e5, test = "Chisq")  
## Likelihood ratio tests of Negative Binomial Models
## 
## Response: eggs
##                                        Model    theta Resid. df    2 x log-lik.
## 1         treatment + whole.mean + replicate 1.176454        31       -235.6367
## 2 treatment + whole.mean + alive + replicate 1.175057        30       -235.5097
##     Test    df  LR stat.   Pr(Chi)
## 1                                 
## 2 1 vs 2     1 0.1269932 0.7215702
summary(e5)
## 
## Call:
## glm.nb(formula = eggs ~ treatment + whole.mean + replicate, data = brood, 
##     init.theta = 1.176453787, link = log)
## 
## Deviance Residuals: 
##     Min       1Q   Median       3Q      Max  
## -2.3494  -0.8863  -0.1968   0.1865   1.5841  
## 
## Coefficients:
##               Estimate Std. Error z value Pr(>|z|)  
## (Intercept)  1.005e+00  7.882e-01   1.275   0.2024  
## treatment2  -3.134e-01  4.951e-01  -0.633   0.5268  
## treatment3  -1.054e+00  5.178e-01  -2.035   0.0419 *
## treatment4  -6.496e-01  5.045e-01  -1.288   0.1979  
## treatment5  -7.712e-01  5.090e-01  -1.515   0.1297  
## whole.mean   2.813e+00  1.120e+00   2.511   0.0120 *
## replicate2  -4.899e-02  6.584e-01  -0.074   0.9407  
## replicate3   2.015e-01  6.370e-01   0.316   0.7517  
## replicate4   8.315e-01  6.236e-01   1.333   0.1824  
## replicate5   5.359e-01  6.424e-01   0.834   0.4042  
## replicate7  -8.671e-01  6.651e-01  -1.304   0.1923  
## replicate9  -4.226e-01  6.646e-01  -0.636   0.5248  
## replicate11 -3.532e-01  6.845e-01  -0.516   0.6059  
## replicate12 -2.902e+01  2.843e+05   0.000   0.9999  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for Negative Binomial(1.1765) family taken to be 1)
## 
##     Null deviance: 101.645  on 44  degrees of freedom
## Residual deviance:  48.236  on 31  degrees of freedom
## AIC: 265.64
## 
## Number of Fisher Scoring iterations: 1
## 
## 
##               Theta:  1.176 
##           Std. Err.:  0.361 
## 
##  2 x log-likelihood:  -235.637
e5
## 
## Call:  glm.nb(formula = eggs ~ treatment + whole.mean + replicate, data = brood, 
##     init.theta = 1.176453787, link = log)
## 
## Coefficients:
## (Intercept)   treatment2   treatment3   treatment4   treatment5   whole.mean  
##     1.00464     -0.31336     -1.05374     -0.64957     -0.77117      2.81308  
##  replicate2   replicate3   replicate4   replicate5   replicate7   replicate9  
##    -0.04899      0.20151      0.83148      0.53588     -0.86709     -0.42264  
## replicate11  replicate12  
##    -0.35318    -29.01904  
## 
## Degrees of Freedom: 44 Total (i.e. Null);  31 Residual
## Null Deviance:       101.6 
## Residual Deviance: 48.24     AIC: 265.6
ea <- setDT(as.data.frame(Anova(e5)))
ea
##     LR Chisq Df  Pr(>Chisq)
## 1:  4.226801  4 0.376180930
## 2:  4.748774  1 0.029319182
## 3: 24.321709  8 0.002023676
em <- emmeans(e5, pairwise ~ "treatment", type = "response")

emc <- setDT(as.data.frame(em$contrasts))
emc
##                    contrast     ratio        SE  df null    z.ratio   p.value
##  1: treatment1 / treatment2 1.3680194 0.6773142 Inf    1  0.6329234 0.9697591
##  2: treatment1 / treatment3 2.8683698 1.4852865 Inf    1  2.0349791 0.2491906
##  3: treatment1 / treatment4 1.9147148 0.9659637 Inf    1  1.2875626 0.6989347
##  4: treatment1 / treatment5 2.1623017 1.1004965 Inf    1  1.5152336 0.5524816
##  5: treatment2 / treatment3 2.0967318 1.0836294 Inf    1  1.4325728 0.6065132
##  6: treatment2 / treatment4 1.3996255 0.7058982 Inf    1  0.6666126 0.9635174
##  7: treatment2 / treatment5 1.5806075 0.8106724 Inf    1  0.8926131 0.8997519
##  8: treatment3 / treatment4 0.6675272 0.3477535 Inf    1 -0.7758308 0.9376329
##  9: treatment3 / treatment5 0.7538434 0.4054990 Inf    1 -0.5253133 0.9848121
## 10: treatment4 / treatment5 1.1293075 0.5917516 Inf    1  0.2320720 0.9993591
emm <- setDT(as.data.frame(em$emmeans))
emm
##    treatment  response        SE  df    asymp.LCL asymp.UCL
## 1:         1 0.4140861 13082.711 Inf 2.220446e-16       Inf
## 2:         2 0.3026902  9563.250 Inf 2.220446e-16       Inf
## 3:         3 0.1443629  4561.027 Inf 2.220446e-16       Inf
## 4:         4 0.2162652  6832.720 Inf 2.220446e-16       Inf
## 5:         5 0.1915025  6050.363 Inf 2.220446e-16       Inf
e5
## 
## Call:  glm.nb(formula = eggs ~ treatment + whole.mean + replicate, data = brood, 
##     init.theta = 1.176453787, link = log)
## 
## Coefficients:
## (Intercept)   treatment2   treatment3   treatment4   treatment5   whole.mean  
##     1.00464     -0.31336     -1.05374     -0.64957     -0.77117      2.81308  
##  replicate2   replicate3   replicate4   replicate5   replicate7   replicate9  
##    -0.04899      0.20151      0.83148      0.53588     -0.86709     -0.42264  
## replicate11  replicate12  
##    -0.35318    -29.01904  
## 
## Degrees of Freedom: 44 Total (i.e. Null);  31 Residual
## Null Deviance:       101.6 
## Residual Deviance: 48.24     AIC: 265.6
ggplot(brood, aes(x = treatment, y = eggs, fill = treatment)) +
  geom_boxplot(alpha = 0.8, width = 0.5, outlier.shape = NA) +
  scale_fill_viridis_d() +
  labs(x = "Treatment", y = "Mean Count of Eggs", title = "Count of Eggs by Treatment") +
  theme_minimal() +
  theme(legend.position = "right")

range(brood$eggs)
## [1]  0 87
brood.sub <- brood[brood$eggs <= 50, ]

range(brood.sub$eggs)
## [1]  0 36
ggplot(brood.sub, aes(x = treatment, y = eggs, fill = treatment)) +
  geom_boxplot(alpha = 0.8, width = 0.5, outlier.shape = NA) +
  scale_fill_viridis_d() +
  labs(x = "Treatment", y = "Mean Count of Eggs", title = "Count of Eggs by Treatment") +
  theme_minimal() +
  theme(legend.position = "right")

egg_sum1 <- brood %>%
  group_by(treatment) %>%
  summarise(me = mean(eggs),
            sde = sd(eggs),
            ne = length(eggs)) %>%
  mutate(see = sde/sqrt(ne))
egg_sum1
## # A tibble: 5 × 5
##   treatment    me   sde    ne   see
##   <fct>     <dbl> <dbl> <int> <dbl>
## 1 1         14.8  27.7      9  9.22
## 2 2          9.11 11.7      9  3.91
## 3 3          5.56  6.56     9  2.19
## 4 4          6.56  5.90     9  1.97
## 5 5          4.33  4.39     9  1.46
ggplot(egg_sum1, aes(x = treatment, y = me)) +
  geom_bar(stat = "identity", fill = "steelblue", color = "black") +
  geom_errorbar(aes(ymin = me - see, ymax = me + see), width = 0.2, position = position_dodge(0.9)) +
  labs(x = "Treatment", y = "Eggs", title = "Average Egg Count by Treatment (with the outlier of 87 eggs in T1.5)") +
  theme_minimal()

egg_sum <- brood.sub %>%
  group_by(treatment) %>%
  summarise(me = mean(eggs),
            sde = sd(eggs),
            ne = length(eggs)) %>%
  mutate(see = sde/sqrt(ne))
egg_sum
## # A tibble: 5 × 5
##   treatment    me   sde    ne   see
##   <fct>     <dbl> <dbl> <int> <dbl>
## 1 1          5.75  6.04     8  2.14
## 2 2          9.11 11.7      9  3.91
## 3 3          5.56  6.56     9  2.19
## 4 4          6.56  5.90     9  1.97
## 5 5          4.33  4.39     9  1.46
ggplot(egg_sum, aes(x = treatment, y = me)) +
  geom_bar(stat = "identity", fill = "steelblue", color = "black") +
  geom_errorbar(aes(ymin = me - see, ymax = me + see), width = 0.2, position = position_dodge(0.9)) +
  labs(x = "Treatment", y = "Eggs", title = "Average Egg Count by Treatment (without the outlier of 87 eggs in T1.5)") +
  theme_minimal()

e1 <- glm.nb(eggs ~ treatment + whole.mean, data = brood.sub)

Anova(e1)
## Analysis of Deviance Table (Type II tests)
## 
## Response: eggs
##            LR Chisq Df Pr(>Chisq)   
## treatment    3.5454  4   0.471015   
## whole.mean   8.0630  1   0.004518 **
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

Honey Pots

hp1 <- glm.nb(honey_pot ~ treatment + whole.mean + alive + duration + replicate, data = brood)
hp2 <- glm.nb(honey_pot ~ treatment*whole.mean + alive + duration + replicate, data=brood)
hp3 <- glm(honey_pot ~ treatment + whole.mean + alive + duration + replicate, data = brood, family = "poisson")
summary(hp3) 
## 
## Call:
## glm(formula = honey_pot ~ treatment + whole.mean + alive + duration + 
##     replicate, family = "poisson", data = brood)
## 
## Deviance Residuals: 
##     Min       1Q   Median       3Q      Max  
## -3.4469  -0.7689   0.0119   0.6527   1.9703  
## 
## Coefficients:
##              Estimate Std. Error z value Pr(>|z|)    
## (Intercept)  0.081264   0.548234   0.148 0.882163    
## treatment2   0.446092   0.217885   2.047 0.040621 *  
## treatment3  -0.011160   0.229815  -0.049 0.961269    
## treatment4   0.292450   0.215335   1.358 0.174428    
## treatment5   0.326042   0.230873   1.412 0.157886    
## whole.mean   2.357772   0.649379   3.631 0.000283 ***
## alive        0.121849   0.075997   1.603 0.108860    
## duration    -0.006831   0.011287  -0.605 0.545063    
## replicate2   0.434568   0.254640   1.707 0.087897 .  
## replicate3  -0.058640   0.267579  -0.219 0.826534    
## replicate4  -0.062013   0.282330  -0.220 0.826146    
## replicate5  -0.135362   0.293118  -0.462 0.644224    
## replicate7  -0.338401   0.269152  -1.257 0.208650    
## replicate9   0.118576   0.255525   0.464 0.642613    
## replicate11  0.230020   0.276332   0.832 0.405180    
## replicate12  0.551983   0.290656   1.899 0.057552 .  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for poisson family taken to be 1)
## 
##     Null deviance: 112.507  on 44  degrees of freedom
## Residual deviance:  60.294  on 29  degrees of freedom
## AIC: 244.5
## 
## Number of Fisher Scoring iterations: 5
anova(hp1, hp2, test ="Chisq")
## Likelihood ratio tests of Negative Binomial Models
## 
## Response: honey_pot
##                                                   Model    theta Resid. df
## 1 treatment + whole.mean + alive + duration + replicate 27.64214        29
## 2 treatment * whole.mean + alive + duration + replicate 49.49511        25
##      2 x log-lik.   Test    df LR stat.   Pr(Chi)
## 1       -211.6986                                
## 2       -208.5299 1 vs 2     4 3.168705 0.5300005
descdist(brood$honey_pot, discrete = TRUE)

## summary statistics
## ------
## min:  0   max:  14 
## median:  6 
## mean:  6.177778 
## estimated sd:  3.644977 
## estimated skewness:  0.03338406 
## estimated kurtosis:  2.152788
plot(hp3)

plot(hp1)

Anova(hp1)
## Analysis of Deviance Table (Type II tests)
## 
## Response: honey_pot
##            LR Chisq Df Pr(>Chisq)    
## treatment    7.2933  4  0.1211773    
## whole.mean  12.2932  1  0.0004546 ***
## alive        2.1703  1  0.1406976    
## duration     0.4834  1  0.4868768    
## replicate    9.7900  8  0.2800754    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Anova(hp3)
## Analysis of Deviance Table (Type II tests)
## 
## Response: honey_pot
##            LR Chisq Df Pr(>Chisq)    
## treatment    8.5329  4  0.0738968 .  
## whole.mean  13.6596  1  0.0002191 ***
## alive        2.6712  1  0.1021768    
## duration     0.3645  1  0.5460071    
## replicate   10.4087  8  0.2375013    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
AIC(hp1, hp3)
##     df      AIC
## hp1 17 245.6986
## hp3 16 244.5038
drop1(hp1, test = "Chisq")
## Single term deletions
## 
## Model:
## honey_pot ~ treatment + whole.mean + alive + duration + replicate
##            Df Deviance    AIC     LRT  Pr(>Chi)    
## <none>          50.623 243.70                      
## treatment   4   57.916 242.99  7.2933 0.1211773    
## whole.mean  1   62.916 253.99 12.2932 0.0004546 ***
## alive       1   52.793 243.87  2.1703 0.1406976    
## duration    1   51.106 242.18  0.4834 0.4868768    
## replicate   8   60.413 237.49  9.7900 0.2800754    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
drop1(hp3, test = "Chisq")
## Single term deletions
## 
## Model:
## honey_pot ~ treatment + whole.mean + alive + duration + replicate
##            Df Deviance    AIC     LRT  Pr(>Chi)    
## <none>          60.294 244.50                      
## treatment   4   68.827 245.04  8.5329 0.0738968 .  
## whole.mean  1   73.954 256.16 13.6596 0.0002191 ***
## alive       1   62.965 245.18  2.6712 0.1021768    
## duration    1   60.658 242.87  0.3645 0.5460071    
## replicate   8   70.703 238.91 10.4087 0.2375013    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
hp5 <- update(hp3, .~. -duration)
drop1(hp5, test = "Chisq")
## Single term deletions
## 
## Model:
## honey_pot ~ treatment + whole.mean + alive + replicate
##            Df Deviance    AIC     LRT  Pr(>Chi)    
## <none>          60.658 242.87                      
## treatment   4   68.857 243.07  8.1983 0.0845796 .  
## whole.mean  1   75.223 255.43 14.5649 0.0001354 ***
## alive       1   64.231 244.44  3.5727 0.0587382 .  
## replicate   8   70.833 237.04 10.1747 0.2529745    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
hp4 <- update(hp5, .~. -replicate)
drop1(hp4, test = "Chisq")
## Single term deletions
## 
## Model:
## honey_pot ~ treatment + whole.mean + alive
##            Df Deviance    AIC     LRT  Pr(>Chi)    
## <none>          70.833 237.04                      
## treatment   4   80.497 238.71  9.6635 0.0464935 *  
## whole.mean  1   84.118 248.33 13.2844 0.0002676 ***
## alive       1   77.688 241.90  6.8547 0.0088408 ** 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Anova(hp4)
## Analysis of Deviance Table (Type II tests)
## 
## Response: honey_pot
##            LR Chisq Df Pr(>Chisq)    
## treatment    9.6635  4  0.0464935 *  
## whole.mean  13.2844  1  0.0002676 ***
## alive        6.8547  1  0.0088408 ** 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Anova(hp5)
## Analysis of Deviance Table (Type II tests)
## 
## Response: honey_pot
##            LR Chisq Df Pr(>Chisq)    
## treatment    8.1983  4  0.0845796 .  
## whole.mean  14.5649  1  0.0001354 ***
## alive        3.5727  1  0.0587382 .  
## replicate   10.1747  8  0.2529745    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
ha <- setDT(as.data.frame(Anova(hp4)))
ha
##     LR Chisq Df   Pr(>Chisq)
## 1:  9.663523  4 0.0464935193
## 2: 13.284449  1 0.0002676167
## 3:  6.854713  1 0.0088407739
hp4
## 
## Call:  glm(formula = honey_pot ~ treatment + whole.mean + alive, family = "poisson", 
##     data = brood)
## 
## Coefficients:
## (Intercept)   treatment2   treatment3   treatment4   treatment5   whole.mean  
##     0.27744      0.49895      0.05398      0.37111      0.31416      1.33003  
##       alive  
##     0.13938  
## 
## Degrees of Freedom: 44 Total (i.e. Null);  38 Residual
## Null Deviance:       112.5 
## Residual Deviance: 70.83     AIC: 237
ggplot(brood, aes(x = treatment, y = honey_pot, fill = treatment)) +
  geom_boxplot(alpha = 0.8, width = 0.5, outlier.shape = NA) +
  scale_fill_viridis_d() +
  labs(x = "Treatment", y = "Mean Count of Honey Pots", title = "Count of Honey Pots by Treatment") +
  theme_minimal() +
  theme(legend.position = "right")

hp_sum <- brood %>%
  group_by(treatment) %>%
  summarise(mhp = mean(honey_pot), 
            sdhp = sd(honey_pot),
            nhp = length(honey_pot)) %>%
  mutate(sehp = sdhp/sqrt(nhp))


hp.means <- emmeans(object = hp4,
                        specs = "treatment",
                        adjust = "Tukey",
                        type = "response")

hpem <- setDT(as.data.frame(hp.means))
hpem
##    treatment     rate        SE  df asymp.LCL asymp.UCL
## 1:         1 4.435043 0.7228102 Inf  2.917969  6.740855
## 2:         2 7.304510 0.8826030 Inf  5.355417  9.962971
## 3:         3 4.681045 0.6894722 Inf  3.206461  6.833761
## 4:         4 6.427907 0.8382044 Inf  4.598270  8.985551
## 5:         5 6.072032 0.8349689 Inf  4.265080  8.644519
hpa <- setDT(as.data.frame(pairs(hp.means)))
hpa
##                    contrast     ratio        SE  df null    z.ratio   p.value
##  1: treatment1 / treatment2 0.6071651 0.1232310 Inf    1 -2.4583742 0.1002765
##  2: treatment1 / treatment3 0.9474472 0.2074110 Inf    1 -0.2465978 0.9991856
##  3: treatment1 / treatment4 0.6899669 0.1429589 Inf    1 -1.7911079 0.3786974
##  4: treatment1 / treatment5 0.7304051 0.1569572 Inf    1 -1.4619346 0.5873534
##  5: treatment2 / treatment3 1.5604442 0.2898881 Inf    1  2.3952402 0.1165246
##  6: treatment2 / treatment4 1.1363745 0.1982245 Inf    1  0.7328936 0.9488752
##  7: treatment2 / treatment5 1.2029762 0.2165561 Inf    1  1.0265628 0.8431815
##  8: treatment3 / treatment4 0.7282379 0.1384305 Inf    1 -1.6683054 0.4537171
##  9: treatment3 / treatment5 0.7709191 0.1526869 Inf    1 -1.3136129 0.6827362
## 10: treatment4 / treatment5 1.0586089 0.1996727 Inf    1  0.3019633 0.9981946
hp.cld.model <- cld(object = hp.means,
                     adjust = "Tukey",
                     Letters = letters,
                     alpha = 0.05)
hp.cld.model
##  treatment rate    SE  df asymp.LCL asymp.UCL .group
##  1         4.44 0.723 Inf      2.92      6.74  a    
##  3         4.68 0.689 Inf      3.21      6.83  a    
##  5         6.07 0.835 Inf      4.27      8.64  a    
##  4         6.43 0.838 Inf      4.60      8.99  a    
##  2         7.30 0.883 Inf      5.36      9.96  a    
## 
## Confidence level used: 0.95 
## Conf-level adjustment: sidak method for 5 estimates 
## Intervals are back-transformed from the log scale 
## P value adjustment: tukey method for comparing a family of 5 estimates 
## Tests are performed on the log scale 
## significance level used: alpha = 0.05 
## NOTE: If two or more means share the same grouping symbol,
##       then we cannot show them to be different.
##       But we also did not show them to be the same.
ggplot(hp_sum, aes(x = treatment, y = mhp)) +
  geom_bar(stat = "identity", fill = "steelblue", color = "black") +
  geom_errorbar(aes(ymin = mhp - sehp, ymax = mhp + sehp), width = 0.2, position = position_dodge(0.9)) +
  labs(x = "Treatment", y = "Honey Pot Count", title = "Average Honey Pots by Treatment") +
  theme_minimal()

Larvae and Pupae

brood$larvae <- brood$dead_larvae + brood$live_larvae
brood$pupae <- brood$dead_lp + brood$live_pupae

#total count of larvae 
bl1 <- glm.nb(larvae ~ treatment + whole.mean + alive + duration + replicate, data = brood)
bl2 <- glm.nb(larvae ~ treatment*whole.mean + alive + duration + replicate, data = brood)
bl3 <- glm(larvae ~ treatment + whole.mean + alive + duration + replicate, data = brood, family = "poisson") #overdispersed
anova(bl1, bl2, test = "Chisq")
## Likelihood ratio tests of Negative Binomial Models
## 
## Response: larvae
##                                                   Model    theta Resid. df
## 1 treatment + whole.mean + alive + duration + replicate 5.134394        29
## 2 treatment * whole.mean + alive + duration + replicate 5.942634        25
##      2 x log-lik.   Test    df LR stat.   Pr(Chi)
## 1       -318.2426                                
## 2       -312.2052 1 vs 2     4 6.037416 0.1963714
AIC(bl1, bl2)
##     df      AIC
## bl1 17 352.2426
## bl2 21 354.2052
summary(bl3)
## 
## Call:
## glm(formula = larvae ~ treatment + whole.mean + alive + duration + 
##     replicate, family = "poisson", data = brood)
## 
## Deviance Residuals: 
##     Min       1Q   Median       3Q      Max  
## -4.5491  -1.7547  -0.3083   1.1231   3.9389  
## 
## Coefficients:
##              Estimate Std. Error z value Pr(>|z|)    
## (Intercept)  1.721034   0.243064   7.081 1.44e-12 ***
## treatment2  -0.494871   0.108687  -4.553 5.28e-06 ***
## treatment3   0.092196   0.091689   1.006 0.314639    
## treatment4  -0.555477   0.108195  -5.134 2.84e-07 ***
## treatment5  -0.318242   0.115551  -2.754 0.005885 ** 
## whole.mean   3.924155   0.328016  11.963  < 2e-16 ***
## alive        0.045215   0.035384   1.278 0.201309    
## duration    -0.013495   0.005234  -2.579 0.009920 ** 
## replicate2   0.343073   0.137230   2.500 0.012420 *  
## replicate3  -0.428521   0.147310  -2.909 0.003626 ** 
## replicate4   0.578145   0.132030   4.379 1.19e-05 ***
## replicate5  -0.225943   0.146147  -1.546 0.122107    
## replicate7  -0.492747   0.146603  -3.361 0.000776 ***
## replicate9  -0.123788   0.147970  -0.837 0.402832    
## replicate11  0.133836   0.151083   0.886 0.375701    
## replicate12 -0.202278   0.197818  -1.023 0.306524    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for poisson family taken to be 1)
## 
##     Null deviance: 837.19  on 44  degrees of freedom
## Residual deviance: 193.10  on 29  degrees of freedom
## AIC: 425.09
## 
## Number of Fisher Scoring iterations: 5
drop1(bl1, test = "Chisq")
## Single term deletions
## 
## Model:
## larvae ~ treatment + whole.mean + alive + duration + replicate
##            Df Deviance    AIC    LRT  Pr(>Chi)    
## <none>          50.143 350.24                     
## treatment   4   57.298 349.40  7.155   0.12792    
## whole.mean  1   86.814 384.91 36.671 1.398e-09 ***
## alive       1   54.495 352.60  4.353   0.03695 *  
## duration    1   52.331 350.43  2.188   0.13905    
## replicate   8   84.080 368.18 33.938 4.170e-05 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
bl5 <- update(bl1, .~. -duration)
drop1(bl5, test = "Chisq")
## Single term deletions
## 
## Model:
## larvae ~ treatment + whole.mean + alive + replicate
##            Df Deviance    AIC    LRT  Pr(>Chi)    
## <none>          50.710 350.40                     
## treatment   4   59.365 351.06  8.655 0.0703334 .  
## whole.mean  1   85.541 383.24 34.831 3.595e-09 ***
## alive       1   55.947 353.64  5.237 0.0221147 *  
## replicate   8   82.085 365.78 31.375 0.0001204 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Anova(bl5)
## Analysis of Deviance Table (Type II tests)
## 
## Response: larvae
##            LR Chisq Df Pr(>Chisq)    
## treatment     8.655  4  0.0703334 .  
## whole.mean   34.831  1  3.595e-09 ***
## alive         5.237  1  0.0221147 *  
## replicate    31.375  8  0.0001204 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
ple <- emmeans(bl5, pairwise ~ treatment, type = "response")
pairs(ple)
##  contrast                ratio    SE  df null z.ratio p.value
##  treatment1 / treatment2 1.717 0.435 Inf    1   2.134  0.2057
##  treatment1 / treatment3 0.972 0.244 Inf    1  -0.111  1.0000
##  treatment1 / treatment4 1.429 0.369 Inf    1   1.383  0.6389
##  treatment1 / treatment5 1.521 0.412 Inf    1   1.546  0.5323
##  treatment2 / treatment3 0.566 0.138 Inf    1  -2.337  0.1333
##  treatment2 / treatment4 0.832 0.211 Inf    1  -0.723  0.9512
##  treatment2 / treatment5 0.885 0.234 Inf    1  -0.461  0.9907
##  treatment3 / treatment4 1.470 0.364 Inf    1   1.556  0.5256
##  treatment3 / treatment5 1.564 0.394 Inf    1   1.776  0.3878
##  treatment4 / treatment5 1.064 0.291 Inf    1   0.226  0.9994
## 
## Results are averaged over the levels of: replicate 
## P value adjustment: tukey method for comparing a family of 5 estimates 
## Tests are performed on the log scale
#Larvae slightly different 
larv_sum <- brood %>%
  group_by(treatment) %>%
  summarise(mhp = mean(larvae), 
            sdhp = sd(larvae),
            nhp = length(larvae)) %>%
  mutate(sehp = sdhp/sqrt(nhp))

L <- ggplot(larv_sum, aes(x = treatment, y = mhp)) +
  geom_bar(stat = "identity", fill = "steelblue", color = "black") +
  geom_errorbar(aes(ymin = mhp - sehp, ymax = mhp + sehp), width = 0.2, position = position_dodge(0.9)) +
  labs(x = "Treatment", y = "Larvae Count", title = "Average Larvae by Treatment") +
  theme_minimal()


#total count of pupae 
bp1 <- glm.nb(pupae ~ treatment + whole.mean + alive + duration + replicate, data = brood)
bp2 <- glm.nb(pupae ~treatment*whole.mean + alive + duration + replicate, data = brood)
bp3 <- glm(pupae ~ treatment + whole.mean + alive + duration + replicate, data = brood, family = "poisson") #overdispersed
anova(bp1, bp2, test = "Chisq")
## Likelihood ratio tests of Negative Binomial Models
## 
## Response: pupae
##                                                   Model    theta Resid. df
## 1 treatment + whole.mean + alive + duration + replicate 6.284063        29
## 2 treatment * whole.mean + alive + duration + replicate 7.482878        25
##      2 x log-lik.   Test    df LR stat.   Pr(Chi)
## 1       -267.2530                                
## 2       -262.9448 1 vs 2     4 4.308145 0.3659062
AIC(bp1, bp2)
##     df      AIC
## bp1 17 301.2530
## bp2 21 304.9448
summary(bp3)
## 
## Call:
## glm(formula = pupae ~ treatment + whole.mean + alive + duration + 
##     replicate, family = "poisson", data = brood)
## 
## Deviance Residuals: 
##     Min       1Q   Median       3Q      Max  
## -3.8550  -1.4743   0.0304   0.9046   4.0282  
## 
## Coefficients:
##              Estimate Std. Error z value Pr(>|z|)    
## (Intercept) -0.543721   0.353902  -1.536 0.124449    
## treatment2   0.665474   0.150918   4.410 1.04e-05 ***
## treatment3   0.504268   0.145607   3.463 0.000534 ***
## treatment4   0.080382   0.161299   0.498 0.618245    
## treatment5   0.014864   0.182757   0.081 0.935180    
## whole.mean   3.429036   0.459106   7.469 8.08e-14 ***
## alive        0.132069   0.055394   2.384 0.017118 *  
## duration     0.001370   0.006757   0.203 0.839330    
## replicate2   0.251974   0.219849   1.146 0.251743    
## replicate3  -0.039746   0.207143  -0.192 0.847838    
## replicate4   0.737360   0.198223   3.720 0.000199 ***
## replicate5   0.192326   0.211251   0.910 0.362603    
## replicate7   0.566513   0.180957   3.131 0.001744 ** 
## replicate9  -0.258795   0.229260  -1.129 0.258971    
## replicate11  0.346251   0.220613   1.569 0.116532    
## replicate12  0.671969   0.227904   2.948 0.003194 ** 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for poisson family taken to be 1)
## 
##     Null deviance: 468.91  on 44  degrees of freedom
## Residual deviance: 124.00  on 29  degrees of freedom
## AIC: 331.74
## 
## Number of Fisher Scoring iterations: 5
drop1(bp1, test = "Chisq")
## Single term deletions
## 
## Model:
## pupae ~ treatment + whole.mean + alive + duration + replicate
##            Df Deviance    AIC     LRT  Pr(>Chi)    
## <none>          48.086 299.25                      
## treatment   4   58.090 301.26 10.0036   0.04037 *  
## whole.mean  1   68.645 317.81 20.5586 5.783e-06 ***
## alive       1   50.561 299.73  2.4746   0.11570    
## duration    1   48.296 297.46  0.2101   0.64666    
## replicate   8   62.477 297.64 14.3914   0.07212 .  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
bp4 <- update(bp1, .~. -duration)
drop1(bp4, test = "Chisq")
## Single term deletions
## 
## Model:
## pupae ~ treatment + whole.mean + alive + replicate
##            Df Deviance    AIC     LRT  Pr(>Chi)    
## <none>          48.273 297.46                      
## treatment   4   58.061 299.25  9.7877   0.04416 *  
## whole.mean  1   71.912 319.10 23.6384 1.162e-06 ***
## alive       1   51.223 298.41  2.9495   0.08591 .  
## replicate   8   64.251 297.44 15.9783   0.04269 *  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
bp5 <- update(bp4, .~. -alive)
drop1(bp5, test ="Chisq")
## Single term deletions
## 
## Model:
## pupae ~ treatment + whole.mean + replicate
##            Df Deviance    AIC    LRT  Pr(>Chi)    
## <none>          49.768 298.39                     
## treatment   4   59.181 299.80  9.413   0.05156 .  
## whole.mean  1   95.179 341.80 45.411 1.597e-11 ***
## replicate   8   64.684 297.30 14.916   0.06080 .  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Anova(bp5)
## Analysis of Deviance Table (Type II tests)
## 
## Response: pupae
##            LR Chisq Df Pr(>Chisq)    
## treatment     9.413  4    0.05156 .  
## whole.mean   45.411  1  1.597e-11 ***
## replicate    14.916  8    0.06080 .  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
pe <- emmeans(bp5, pairwise ~ treatment, type = "response")
pairs(pe)
##  contrast                ratio    SE  df null z.ratio p.value
##  treatment1 / treatment2 0.579 0.145 Inf    1  -2.177  0.1885
##  treatment1 / treatment3 0.617 0.157 Inf    1  -1.903  0.3158
##  treatment1 / treatment4 0.996 0.265 Inf    1  -0.013  1.0000
##  treatment1 / treatment5 0.945 0.253 Inf    1  -0.210  0.9996
##  treatment2 / treatment3 1.066 0.249 Inf    1   0.274  0.9988
##  treatment2 / treatment4 1.722 0.425 Inf    1   2.201  0.1792
##  treatment2 / treatment5 1.634 0.411 Inf    1   1.950  0.2907
##  treatment3 / treatment4 1.615 0.398 Inf    1   1.944  0.2938
##  treatment3 / treatment5 1.532 0.393 Inf    1   1.664  0.4562
##  treatment4 / treatment5 0.949 0.255 Inf    1  -0.196  0.9997
## 
## Results are averaged over the levels of: replicate 
## P value adjustment: tukey method for comparing a family of 5 estimates 
## Tests are performed on the log scale
pup_sum <- brood %>%
  group_by(treatment) %>%
  summarise(mhp = mean(pupae), 
            sdhp = sd(pupae),
            nhp = length(pupae)) %>%
  mutate(sehp = sdhp/sqrt(nhp))

P <- ggplot(pup_sum, aes(x = treatment, y = mhp)) +
  geom_bar(stat = "identity", fill = "steelblue", color = "black") +
  geom_errorbar(aes(ymin = mhp - sehp, ymax = mhp + sehp), width = 0.2, position = position_dodge(0.9)) +
  labs(x = "Treatment", y = "Pupae Count", title = "Average Pupae by Treatment") +
  theme_minimal()


library(ggpubr)
plot_grid(L, P, ncol=2, nrow =1)

#total count of dead larvae 
bdlfinal<- glm.nb(dead_larvae ~ treatment + whole.mean, data = brood)
drop1(bdlfinal, test = "Chisq")
## Single term deletions
## 
## Model:
## dead_larvae ~ treatment + whole.mean
##            Df Deviance    AIC     LRT Pr(>Chi)   
## <none>          48.238 208.25                    
## treatment   4   51.267 203.28  3.0291  0.55297   
## whole.mean  1   58.610 216.62 10.3713  0.00128 **
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
summary(bdlfinal)
## 
## Call:
## glm.nb(formula = dead_larvae ~ treatment + whole.mean, data = brood, 
##     init.theta = 0.792423091, link = log)
## 
## Deviance Residuals: 
##      Min        1Q    Median        3Q       Max  
## -1.84279  -1.22817  -0.39041   0.09372   1.61744  
## 
## Coefficients:
##             Estimate Std. Error z value Pr(>|z|)   
## (Intercept) -0.82224    0.69691  -1.180  0.23807   
## treatment2   0.33558    0.62504   0.537  0.59134   
## treatment3   0.77610    0.61558   1.261  0.20739   
## treatment4   0.70957    0.61708   1.150  0.25019   
## treatment5  -0.09738    0.65349  -0.149  0.88155   
## whole.mean   3.04280    1.08342   2.809  0.00498 **
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for Negative Binomial(0.7924) family taken to be 1)
## 
##     Null deviance: 68.205  on 44  degrees of freedom
## Residual deviance: 48.238  on 39  degrees of freedom
## AIC: 210.25
## 
## Number of Fisher Scoring iterations: 1
## 
## 
##               Theta:  0.792 
##           Std. Err.:  0.244 
## 
##  2 x log-likelihood:  -196.248
bdl1 <- glm.nb(dead_larvae ~ treatment + whole.mean + alive + duration + replicate, data = brood)
## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
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## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
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## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
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## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
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## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
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## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
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## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
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## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
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## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
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## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
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## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached
## Warning in glm.nb(dead_larvae ~ treatment + whole.mean + alive + duration + :
## alternation limit reached
drop1(bdl1, test = "Chisq")
## Single term deletions
## 
## Model:
## dead_larvae ~ treatment + whole.mean + alive + duration + replicate
##            Df Deviance    AIC     LRT  Pr(>Chi)    
## <none>          61.008 186.08                      
## treatment   4   69.691 186.76   8.683 0.0695204 .  
## whole.mean  1  109.941 233.01  48.933 2.649e-12 ***
## alive       1   63.357 186.43   2.349 0.1253760    
## duration    1   73.490 196.56  12.482 0.0004108 ***
## replicate   8  191.163 300.24 130.155 < 2.2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
bdl11 <- update(bdl1, .~. -alive)
## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached
## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached
## Warning in glm.nb(formula = dead_larvae ~ treatment + whole.mean + duration + :
## alternation limit reached
drop1(bdl11, test = "Chisq")
## Single term deletions
## 
## Model:
## dead_larvae ~ treatment + whole.mean + duration + replicate
##            Df Deviance    AIC     LRT  Pr(>Chi)    
## <none>          63.363 186.43                      
## treatment   4   72.843 187.91   9.479   0.05017 .  
## whole.mean  1  192.893 313.96 129.530 < 2.2e-16 ***
## duration    1   83.253 204.32  19.890 8.203e-06 ***
## replicate   8  191.733 298.80 128.370 < 2.2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
summary(bdl11)
## 
## Call:
## glm.nb(formula = dead_larvae ~ treatment + whole.mean + duration + 
##     replicate, data = brood, init.theta = 1878.543274, link = log)
## 
## Deviance Residuals: 
##     Min       1Q   Median       3Q      Max  
## -2.4153  -1.1046  -0.3949   0.6783   2.3237  
## 
## Coefficients:
##             Estimate Std. Error z value Pr(>|z|)    
## (Intercept) -2.76626    0.73021  -3.788 0.000152 ***
## treatment2   0.65094    0.33373   1.951 0.051116 .  
## treatment3   0.85055    0.31865   2.669 0.007604 ** 
## treatment4   0.72229    0.32918   2.194 0.028219 *  
## treatment5   0.23371    0.37731   0.619 0.535648    
## whole.mean   8.40032    0.97570   8.610  < 2e-16 ***
## duration    -0.06566    0.01502  -4.372 1.23e-05 ***
## replicate2   2.65754    0.55614   4.779 1.77e-06 ***
## replicate3   1.35722    0.53605   2.532 0.011344 *  
## replicate4   1.77072    0.48422   3.657 0.000255 ***
## replicate5   0.98136    0.51853   1.893 0.058414 .  
## replicate7  -0.04842    0.59214  -0.082 0.934827    
## replicate9   0.03335    0.85148   0.039 0.968757    
## replicate11  1.46738    0.71608   2.049 0.040444 *  
## replicate12  4.02330    0.57285   7.023 2.17e-12 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for Negative Binomial(1878.543) family taken to be 1)
## 
##     Null deviance: 358.159  on 44  degrees of freedom
## Residual deviance:  63.363  on 30  degrees of freedom
## AIC: 188.43
## 
## Number of Fisher Scoring iterations: 1
## 
## 
##               Theta:  1879 
##           Std. Err.:  7724 
## Warning while fitting theta: alternation limit reached 
## 
##  2 x log-likelihood:  -156.427
bdl2 <- glm.nb(dead_larvae ~ treatment*whole.mean + alive + duration, data = brood)
drop1(bdl2, test = "Chisq")
## Single term deletions
## 
## Model:
## dead_larvae ~ treatment * whole.mean + alive + duration
##                      Df Deviance    AIC     LRT Pr(>Chi)
## <none>                    47.357 216.17                 
## alive                 1   47.835 214.65 0.47759   0.4895
## duration              1   48.639 215.46 1.28242   0.2574
## treatment:whole.mean  4   49.579 210.40 2.22216   0.6950
bdl3 <- glm(dead_larvae ~ treatment + whole.mean + alive + duration + replicate, data = brood, family = "poisson") #overdispersed
summary(bdl3)
## 
## Call:
## glm(formula = dead_larvae ~ treatment + whole.mean + alive + 
##     duration + replicate, family = "poisson", data = brood)
## 
## Deviance Residuals: 
##     Min       1Q   Median       3Q      Max  
## -2.5868  -0.9221  -0.1131   0.6191   2.3624  
## 
## Coefficients:
##             Estimate Std. Error z value Pr(>|z|)    
## (Intercept) -3.36620    0.84554  -3.981 6.86e-05 ***
## treatment2   0.50556    0.34739   1.455 0.145577    
## treatment3   0.72413    0.32661   2.217 0.026618 *  
## treatment4   0.59061    0.34716   1.701 0.088888 .  
## treatment5  -0.02830    0.40984  -0.069 0.944955    
## whole.mean   7.33603    1.16797   6.281 3.36e-10 ***
## alive        0.20174    0.13489   1.496 0.134755    
## duration    -0.05595    0.01603  -3.491 0.000482 ***
## replicate2   2.66426    0.55416   4.808 1.53e-06 ***
## replicate3   1.33109    0.53183   2.503 0.012320 *  
## replicate4   1.96788    0.50247   3.916 8.99e-05 ***
## replicate5   1.25484    0.55095   2.278 0.022751 *  
## replicate7   0.05880    0.58910   0.100 0.920494    
## replicate9  -0.04179    0.85072  -0.049 0.960825    
## replicate11  1.22121    0.72543   1.683 0.092292 .  
## replicate12  3.78320    0.58159   6.505 7.77e-11 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for poisson family taken to be 1)
## 
##     Null deviance: 359.502  on 44  degrees of freedom
## Residual deviance:  61.086  on 29  degrees of freedom
## AIC: 186.06
## 
## Number of Fisher Scoring iterations: 6
drop1(bdl3, test = "Chisq")
## Single term deletions
## 
## Model:
## dead_larvae ~ treatment + whole.mean + alive + duration + replicate
##            Df Deviance    AIC     LRT  Pr(>Chi)    
## <none>          61.086 186.06                      
## treatment   4   69.811 186.78   8.725 0.0683460 .  
## whole.mean  1  110.197 233.17  49.111 2.419e-12 ***
## alive       1   63.436 186.41   2.350 0.1252938    
## duration    1   73.619 196.59  12.533 0.0003998 ***
## replicate   8  191.852 300.82 130.766 < 2.2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
anova(bdl1, bdl2, test = "Chisq")
## Likelihood ratio tests of Negative Binomial Models
## 
## Response: dead_larvae
##                                                   Model        theta Resid. df
## 1             treatment * whole.mean + alive + duration    0.8889151        33
## 2 treatment + whole.mean + alive + duration + replicate 1725.8040828        29
##      2 x log-lik.   Test    df LR stat.      Pr(Chi)
## 1       -192.1742                                   
## 2       -154.0793 1 vs 2     4 38.09492 1.071158e-07
AIC(bdl1, bdl2)
##      df      AIC
## bdl1 17 188.0793
## bdl2 13 218.1742
AIC(bdl2, bdl3)
##      df      AIC
## bdl2 13 218.1742
## bdl3 16 186.0589
drop1(bdl3, test = "Chisq")
## Single term deletions
## 
## Model:
## dead_larvae ~ treatment + whole.mean + alive + duration + replicate
##            Df Deviance    AIC     LRT  Pr(>Chi)    
## <none>          61.086 186.06                      
## treatment   4   69.811 186.78   8.725 0.0683460 .  
## whole.mean  1  110.197 233.17  49.111 2.419e-12 ***
## alive       1   63.436 186.41   2.350 0.1252938    
## duration    1   73.619 196.59  12.533 0.0003998 ***
## replicate   8  191.852 300.82 130.766 < 2.2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
bdl4 <- update(bdl3, .~. -alive)
drop1(bdl4, test = "Chisq")
## Single term deletions
## 
## Model:
## dead_larvae ~ treatment + whole.mean + duration + replicate
##            Df Deviance    AIC     LRT  Pr(>Chi)    
## <none>          63.436 186.41                      
## treatment   4   72.962 187.94   9.526   0.04922 *  
## whole.mean  1  193.657 314.63 130.221 < 2.2e-16 ***
## duration    1   83.408 204.38  19.972 7.859e-06 ***
## replicate   8  192.365 299.34 128.929 < 2.2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
summary(bdl4)
## 
## Call:
## glm(formula = dead_larvae ~ treatment + whole.mean + duration + 
##     replicate, family = "poisson", data = brood)
## 
## Deviance Residuals: 
##     Min       1Q   Median       3Q      Max  
## -2.4167  -1.1046  -0.3942   0.6719   2.3249  
## 
## Coefficients:
##             Estimate Std. Error z value Pr(>|z|)    
## (Intercept) -2.76884    0.72929  -3.797 0.000147 ***
## treatment2   0.65230    0.33332   1.957 0.050351 .  
## treatment3   0.85141    0.31835   2.674 0.007485 ** 
## treatment4   0.72341    0.32884   2.200 0.027815 *  
## treatment5   0.23440    0.37701   0.622 0.534128    
## whole.mean   8.40447    0.97452   8.624  < 2e-16 ***
## duration    -0.06570    0.01500  -4.381 1.18e-05 ***
## replicate2   2.65912    0.55582   4.784 1.72e-06 ***
## replicate3   1.35850    0.53559   2.536 0.011197 *  
## replicate4   1.77275    0.48373   3.665 0.000248 ***
## replicate5   0.98197    0.51815   1.895 0.058073 .  
## replicate7  -0.04841    0.59187  -0.082 0.934819    
## replicate9   0.03424    0.85133   0.040 0.967919    
## replicate11  1.46906    0.71578   2.052 0.040131 *  
## replicate12  4.02488    0.57235   7.032 2.03e-12 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for poisson family taken to be 1)
## 
##     Null deviance: 359.502  on 44  degrees of freedom
## Residual deviance:  63.436  on 30  degrees of freedom
## AIC: 186.41
## 
## Number of Fisher Scoring iterations: 6
Anova(bdl4)
## Analysis of Deviance Table (Type II tests)
## 
## Response: dead_larvae
##            LR Chisq Df Pr(>Chisq)    
## treatment     9.526  4    0.04922 *  
## whole.mean  130.221  1  < 2.2e-16 ***
## duration     19.972  1  7.859e-06 ***
## replicate   128.929  8  < 2.2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
bdlfinal
## 
## Call:  glm.nb(formula = dead_larvae ~ treatment + whole.mean, data = brood, 
##     init.theta = 0.792423091, link = log)
## 
## Coefficients:
## (Intercept)   treatment2   treatment3   treatment4   treatment5   whole.mean  
##    -0.82224      0.33558      0.77610      0.70957     -0.09738      3.04280  
## 
## Degrees of Freedom: 44 Total (i.e. Null);  39 Residual
## Null Deviance:       68.2 
## Residual Deviance: 48.24     AIC: 210.2
bdlA <- setDT(as.data.frame(Anova(bdlfinal)))
bdlA
##    LR Chisq Df  Pr(>Chisq)
## 1:  3.02909  4 0.552969096
## 2: 10.37128  1 0.001279908
dle <- emmeans(bdlfinal, pairwise ~ treatment, type = "response")
dlem <- setDT(as.data.frame(dle$emmeans))
dlcm <- setDT(as.data.frame(dle$contrasts))
dlem
##    treatment response        SE  df asymp.LCL asymp.UCL
## 1:         1 1.896145 0.8666032 Inf 0.7741826  4.644081
## 2:         2 2.652240 1.1318814 Inf 1.1490800  6.121745
## 3:         3 4.120289 1.7025401 Inf 1.8331738  9.260869
## 4:         4 3.855088 1.6005338 Inf 1.7085877  8.698240
## 5:         5 1.720212 0.8029721 Inf 0.6890523  4.294489
dlcm
##                    contrast     ratio        SE  df null    z.ratio   p.value
##  1: treatment1 / treatment2 0.7149223 0.4468521 Inf    1 -0.5368994 0.9835202
##  2: treatment1 / treatment3 0.4601971 0.2832879 Inf    1 -1.2607639 0.7153436
##  3: treatment1 / treatment4 0.4918552 0.3035139 Inf    1 -1.1498851 0.7798050
##  4: treatment1 / treatment5 1.1022745 0.7203230 Inf    1  0.1490093 0.9998895
##  5: treatment2 / treatment3 0.6437023 0.3803548 Inf    1 -0.7455225 0.9457151
##  6: treatment2 / treatment4 0.6879841 0.4081662 Inf    1 -0.6303776 0.9701994
##  7: treatment2 / treatment5 1.5418101 0.9769794 Inf    1  0.6832669 0.9601389
##  8: treatment3 / treatment4 1.0687924 0.6213916 Inf    1  0.1144305 0.9999614
##  9: treatment3 / treatment5 2.3952224 1.4990178 Inf    1  1.3956935 0.6304429
## 10: treatment4 / treatment5 2.2410547 1.4036874 Inf    1  1.2883293 0.6984613
#total count of dead pupae
bdp1 <- glm.nb(dead_pupae ~ treatment + whole.mean + alive + duration + replicate, data = brood)
## Warning in glm.nb(dead_pupae ~ treatment + whole.mean + alive + duration + :
## alternation limit reached
bdp2 <- glm.nb(dead_pupae ~ treatment*whole.mean + alive + duration + replicate,data = brood)
## Warning in glm.nb(dead_pupae ~ treatment * whole.mean + alive + duration + :
## alternation limit reached
bdp3 <- glm(dead_pupae ~ treatment + whole.mean + alive + duration + replicate, data = brood, family = "poisson") #overdispersed
summary(bdp3)
## 
## Call:
## glm(formula = dead_pupae ~ treatment + whole.mean + alive + duration + 
##     replicate, family = "poisson", data = brood)
## 
## Deviance Residuals: 
##     Min       1Q   Median       3Q      Max  
## -2.7154  -1.1301  -0.7252   0.9052   4.0550  
## 
## Coefficients:
##             Estimate Std. Error z value Pr(>|z|)    
## (Intercept) -2.96440    0.68622  -4.320 1.56e-05 ***
## treatment2   1.26175    0.27991   4.508 6.55e-06 ***
## treatment3   1.24460    0.26808   4.643 3.44e-06 ***
## treatment4   0.19734    0.31513   0.626   0.5312    
## treatment5   0.52716    0.31276   1.686   0.0919 .  
## whole.mean   1.82449    0.72818   2.506   0.0122 *  
## alive        0.30695    0.11402   2.692   0.0071 ** 
## duration     0.02194    0.01002   2.190   0.0285 *  
## replicate2  -0.35914    0.42981  -0.836   0.4034    
## replicate3   0.24153    0.33662   0.717   0.4731    
## replicate4   0.56288    0.37384   1.506   0.1321    
## replicate5   0.45903    0.37027   1.240   0.2151    
## replicate7   1.42483    0.28489   5.001 5.69e-07 ***
## replicate9  -0.18614    0.37102  -0.502   0.6159    
## replicate11  0.50577    0.33620   1.504   0.1325    
## replicate12  0.27495    0.38583   0.713   0.4761    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for poisson family taken to be 1)
## 
##     Null deviance: 309.89  on 44  degrees of freedom
## Residual deviance: 101.43  on 29  degrees of freedom
## AIC: 251.93
## 
## Number of Fisher Scoring iterations: 6
anova(bdp1, bdp2, test = "Chisq")
## Likelihood ratio tests of Negative Binomial Models
## 
## Response: dead_pupae
##                                                   Model    theta Resid. df
## 1 treatment + whole.mean + alive + duration + replicate 3.677605        29
## 2 treatment * whole.mean + alive + duration + replicate 5.128443        25
##      2 x log-lik.   Test    df LR stat.   Pr(Chi)
## 1       -201.2192                                
## 2       -194.4874 1 vs 2     4 6.731801 0.1507585
AIC(bdp1, bdp2)
##      df      AIC
## bdp1 17 235.2192
## bdp2 21 236.4874
drop1(bdp1, test = "Chisq")
## Single term deletions
## 
## Model:
## dead_pupae ~ treatment + whole.mean + alive + duration + replicate
##            Df Deviance    AIC     LRT Pr(>Chi)   
## <none>          51.471 233.22                    
## treatment   4   65.856 239.60 14.3851 0.006162 **
## whole.mean  1   57.008 236.76  5.5369 0.018619 * 
## alive       1   53.693 233.44  2.2219 0.136069   
## duration    1   51.589 231.34  0.1179 0.731276   
## replicate   8   66.016 231.76 14.5451 0.068619 . 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
bdp4 <- update(bdp1, .~. -duration)
drop1(bdp4, test = "Chisq")
## Single term deletions
## 
## Model:
## dead_pupae ~ treatment + whole.mean + alive + replicate
##            Df Deviance    AIC     LRT Pr(>Chi)   
## <none>          51.137 231.34                    
## treatment   4   66.304 238.50 15.1673 0.004366 **
## whole.mean  1   58.934 237.13  7.7971 0.005233 **
## alive       1   53.216 231.41  2.0791 0.149324   
## replicate   8   66.476 230.67 15.3390 0.052879 . 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
bdp4 <- update(bdp4, .~. -alive)
drop1(bdp4, test = "Chisq")
## Single term deletions
## 
## Model:
## dead_pupae ~ treatment + whole.mean + replicate
##            Df Deviance    AIC    LRT Pr(>Chi)    
## <none>          50.937 231.35                    
## treatment   4   67.705 240.12 16.768 0.002144 ** 
## whole.mean  1   67.527 245.94 16.590 4.64e-05 ***
## replicate   8   69.929 234.34 18.992 0.014902 *  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Anova(bdp4)
## Analysis of Deviance Table (Type II tests)
## 
## Response: dead_pupae
##            LR Chisq Df Pr(>Chisq)    
## treatment    16.768  4   0.002144 ** 
## whole.mean   16.590  1   4.64e-05 ***
## replicate    18.992  8   0.014902 *  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
bdp4
## 
## Call:  glm.nb(formula = dead_pupae ~ treatment + whole.mean + replicate, 
##     data = brood, init.theta = 3.226827913, link = log)
## 
## Coefficients:
## (Intercept)   treatment2   treatment3   treatment4   treatment5   whole.mean  
##    -1.38870      1.10498      1.28291      0.13733      0.82066      3.56233  
##  replicate2   replicate3   replicate4   replicate5   replicate7   replicate9  
##    -0.37439     -0.04334     -0.01480     -0.03361      1.10661     -0.25760  
## replicate11  replicate12  
##     0.82322      0.39737  
## 
## Degrees of Freedom: 44 Total (i.e. Null);  31 Residual
## Null Deviance:       124.1 
## Residual Deviance: 50.94     AIC: 233.3
summary(bdp4)
## 
## Call:
## glm.nb(formula = dead_pupae ~ treatment + whole.mean + replicate, 
##     data = brood, init.theta = 3.226827913, link = log)
## 
## Deviance Residuals: 
##     Min       1Q   Median       3Q      Max  
## -2.1077  -0.9027  -0.3928   0.5463   2.0500  
## 
## Coefficients:
##             Estimate Std. Error z value Pr(>|z|)    
## (Intercept) -1.38870    0.67264  -2.065 0.038965 *  
## treatment2   1.10498    0.40221   2.747 0.006010 ** 
## treatment3   1.28291    0.39987   3.208 0.001335 ** 
## treatment4   0.13733    0.44162   0.311 0.755829    
## treatment5   0.82066    0.41991   1.954 0.050658 .  
## whole.mean   3.56233    0.94539   3.768 0.000164 ***
## replicate2  -0.37439    0.56843  -0.659 0.510122    
## replicate3  -0.04334    0.52089  -0.083 0.933690    
## replicate4  -0.01480    0.50092  -0.030 0.976434    
## replicate5  -0.03361    0.52663  -0.064 0.949111    
## replicate7   1.10661    0.46213   2.395 0.016640 *  
## replicate9  -0.25760    0.54066  -0.476 0.633746    
## replicate11  0.82322    0.50433   1.632 0.102616    
## replicate12  0.39737    0.57530   0.691 0.489741    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for Negative Binomial(3.2268) family taken to be 1)
## 
##     Null deviance: 124.069  on 44  degrees of freedom
## Residual deviance:  50.937  on 31  degrees of freedom
## AIC: 233.35
## 
## Number of Fisher Scoring iterations: 1
## 
## 
##               Theta:  3.23 
##           Std. Err.:  1.32 
## 
##  2 x log-likelihood:  -203.349
bdpa <- setDT(as.data.frame(Anova(bdp4)))
bdpa
##    LR Chisq Df   Pr(>Chisq)
## 1: 16.76820  4 0.0021439953
## 2: 16.58993  1 0.0000463967
## 3: 18.99205  8 0.0149022003
dpe <- emmeans(bdp4, pairwise ~ treatment, type = "response")
pairs(dpe)
##  contrast                ratio    SE  df null z.ratio p.value
##  treatment1 / treatment2 0.331 0.133 Inf    1  -2.747  0.0474
##  treatment1 / treatment3 0.277 0.111 Inf    1  -3.208  0.0117
##  treatment1 / treatment4 0.872 0.385 Inf    1  -0.311  0.9980
##  treatment1 / treatment5 0.440 0.185 Inf    1  -1.954  0.2887
##  treatment2 / treatment3 0.837 0.279 Inf    1  -0.533  0.9839
##  treatment2 / treatment4 2.632 1.012 Inf    1   2.516  0.0872
##  treatment2 / treatment5 1.329 0.478 Inf    1   0.791  0.9333
##  treatment3 / treatment4 3.144 1.185 Inf    1   3.039  0.0201
##  treatment3 / treatment5 1.588 0.576 Inf    1   1.274  0.7075
##  treatment4 / treatment5 0.505 0.208 Inf    1  -1.660  0.4589
## 
## Results are averaged over the levels of: replicate 
## P value adjustment: tukey method for comparing a family of 5 estimates 
## Tests are performed on the log scale
dpem <- setDT(as.data.frame(dpe$emmeans))
dpcm <- setDT(as.data.frame(dpe$contrasts))
dpem
##    treatment response        SE  df asymp.LCL asymp.UCL
## 1:         1 1.650629 0.5404879 Inf 0.8688184  3.135956
## 2:         2 4.983503 1.1925755 Inf 3.1177276  7.965833
## 3:         3 5.954019 1.4311728 Inf 3.7171165  9.537055
## 4:         4 1.893608 0.5832919 Inf 1.0353630  3.463278
## 5:         5 3.750216 1.0080822 Inf 2.2143583  6.351331
dpem1 <- as.data.frame(dpem)
dpcm
##                    contrast     ratio        SE  df null    z.ratio    p.value
##  1: treatment1 / treatment2 0.3312187 0.1332210 Inf    1 -2.7472311 0.04738761
##  2: treatment1 / treatment3 0.2772294 0.1108560 Inf    1 -3.2083091 0.01166982
##  3: treatment1 / treatment4 0.8716849 0.3849534 Inf    1 -0.3109627 0.99797470
##  4: treatment1 / treatment5 0.4401424 0.1848199 Inf    1 -1.9543675 0.28866615
##  5: treatment2 / treatment3 0.8369981 0.2792995 Inf    1 -0.5332268 0.98393767
##  6: treatment2 / treatment4 2.6317503 1.0123641 Inf    1  2.5155090 0.08716140
##  7: treatment2 / treatment5 1.3288574 0.4775639 Inf    1  0.7911401 0.93327965
##  8: treatment3 / treatment4 3.1442728 1.1851403 Inf    1  3.0393232 0.02006760
##  9: treatment3 / treatment5 1.5876468 0.5762364 Inf    1  1.2735996 0.70751859
## 10: treatment4 / treatment5 0.5049329 0.2078462 Inf    1 -1.6600526 0.45892854
ggplot(brood, aes(x = treatment, y = dead_pupae, fill = treatment)) +
  geom_boxplot(alpha = 0.8, width = 0.5) +
  scale_fill_viridis_d() +
  labs(x = "Treatment", y = "Mean Count", title = "Average Count of Dead Pupae by Treatment") +
  theme_minimal() +
  theme(legend.position = "right")

#One seemingly outlier in treatment 2


brood.sub1 <- brood[brood$dead_pupae <= 30, ]

bdp1 <- glm.nb(dead_pupae ~ treatment + whole.mean + alive + duration + replicate, data = brood.sub1)
## Warning in glm.nb(dead_pupae ~ treatment + whole.mean + alive + duration + :
## alternation limit reached
bdp2 <- glm.nb(dead_pupae ~ treatment*whole.mean + alive + duration + replicate, data = brood.sub1)
## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached
## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached
## Warning in glm.nb(dead_pupae ~ treatment * whole.mean + alive + duration + :
## alternation limit reached
bdp3 <- glm(dead_pupae ~ treatment + whole.mean + alive + duration + replicate, data = brood.sub1, family = "poisson") #not super overdispersed
summary(bdp3)
## 
## Call:
## glm(formula = dead_pupae ~ treatment + whole.mean + alive + duration + 
##     replicate, family = "poisson", data = brood.sub1)
## 
## Deviance Residuals: 
##     Min       1Q   Median       3Q      Max  
## -2.6752  -1.0123  -0.5019   0.7087   2.3550  
## 
## Coefficients:
##             Estimate Std. Error z value Pr(>|z|)    
## (Intercept) -1.44150    0.72685  -1.983  0.04734 *  
## treatment2   0.71523    0.30935   2.312  0.02077 *  
## treatment3   1.12282    0.27157   4.135 3.56e-05 ***
## treatment4   0.06611    0.32989   0.200  0.84116    
## treatment5   0.82218    0.31770   2.588  0.00966 ** 
## whole.mean   4.36389    0.90497   4.822 1.42e-06 ***
## alive        0.13371    0.11926   1.121  0.26222    
## duration    -0.02109    0.01304  -1.617  0.10589    
## replicate2  -0.10244    0.42906  -0.239  0.81129    
## replicate3   0.29625    0.34887   0.849  0.39579    
## replicate4   0.16354    0.38279   0.427  0.66922    
## replicate5  -0.12767    0.39025  -0.327  0.74356    
## replicate7   0.11941    0.38614   0.309  0.75713    
## replicate9  -0.01849    0.37427  -0.049  0.96059    
## replicate11  0.80945    0.34439   2.350  0.01875 *  
## replicate12  0.75297    0.40503   1.859  0.06302 .  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for poisson family taken to be 1)
## 
##     Null deviance: 213.773  on 43  degrees of freedom
## Residual deviance:  70.261  on 28  degrees of freedom
## AIC: 215.26
## 
## Number of Fisher Scoring iterations: 6
anova(bdp1, bdp2, test = "Chisq")
## Likelihood ratio tests of Negative Binomial Models
## 
## Response: dead_pupae
##                                                   Model       theta Resid. df
## 1 treatment + whole.mean + alive + duration + replicate    12.13437        28
## 2 treatment * whole.mean + alive + duration + replicate 11914.91841        24
##      2 x log-lik.   Test    df LR stat.    Pr(Chi)
## 1       -182.0387                                 
## 2       -172.7351 1 vs 2     4 9.303574 0.05394365
AIC(bdp1, bdp2)
##      df      AIC
## bdp1 17 216.0387
## bdp2 21 214.7351
AIC(bdp3)
## [1] 215.2611
drop1(bdp3, test = "Chisq")
## Single term deletions
## 
## Model:
## dead_pupae ~ treatment + whole.mean + alive + duration + replicate
##            Df Deviance    AIC    LRT  Pr(>Chi)    
## <none>          70.261 215.26                     
## treatment   4  101.903 238.90 31.642 2.264e-06 ***
## whole.mean  1   95.621 238.62 25.360 4.758e-07 ***
## alive       1   71.594 214.59  1.332    0.2484    
## duration    1   72.896 215.90  2.635    0.1045    
## replicate   8   81.387 210.39 11.126    0.1947    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
bdp4 <- update(bdp1, .~. -alive)
drop1(bdp4, test = "Chisq")
## Single term deletions
## 
## Model:
## dead_pupae ~ treatment + whole.mean + duration + replicate
##            Df Deviance    AIC    LRT  Pr(>Chi)    
## <none>          56.836 213.07                     
## treatment   4   79.702 227.94 22.866 0.0001347 ***
## whole.mean  1   89.842 244.08 33.006 9.187e-09 ***
## duration    1   59.193 213.43  2.356 0.1247773    
## replicate   8   68.950 209.19 12.113 0.1462153    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
bdp4 <- update(bdp4, .~. -replicate)
drop1(bdp4, test = "Chisq")
## Single term deletions
## 
## Model:
## dead_pupae ~ treatment + whole.mean + duration
##            Df Deviance    AIC    LRT  Pr(>Chi)    
## <none>          56.366 207.87                     
## treatment   4   74.986 218.49 18.620 0.0009334 ***
## whole.mean  1   91.314 240.82 34.947 3.388e-09 ***
## duration    1   58.611 208.12  2.245 0.1340736    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
bdp4 <- update(bdp4, .~. -duration)

Anova(bdp4)
## Analysis of Deviance Table (Type II tests)
## 
## Response: dead_pupae
##            LR Chisq Df Pr(>Chisq)    
## treatment    16.099  4   0.002889 ** 
## whole.mean   29.798  1  4.794e-08 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
bdp4
## 
## Call:  glm.nb(formula = dead_pupae ~ treatment + whole.mean, data = brood.sub1, 
##     init.theta = 3.856673118, link = log)
## 
## Coefficients:
## (Intercept)   treatment2   treatment3   treatment4   treatment5   whole.mean  
##     -0.9665       0.5707       1.2242       0.1234       0.6465       3.3559  
## 
## Degrees of Freedom: 43 Total (i.e. Null);  38 Residual
## Null Deviance:       108.7 
## Residual Deviance: 55.14     AIC: 210
bdpa <- setDT(as.data.frame(Anova(bdp4)))
bdpa
##    LR Chisq Df   Pr(>Chisq)
## 1: 16.09929  4 2.888779e-03
## 2: 29.79834  1 4.794013e-08
dpe <- emmeans(bdp4, pairwise ~ treatment, type = "response")
pairs(dpe)
##  contrast                ratio    SE  df null z.ratio p.value
##  treatment1 / treatment2 0.565 0.224 Inf    1  -1.443  0.6000
##  treatment1 / treatment3 0.294 0.108 Inf    1  -3.342  0.0074
##  treatment1 / treatment4 0.884 0.359 Inf    1  -0.304  0.9981
##  treatment1 / treatment5 0.524 0.206 Inf    1  -1.646  0.4681
##  treatment2 / treatment3 0.520 0.175 Inf    1  -1.942  0.2949
##  treatment2 / treatment4 1.564 0.593 Inf    1   1.180  0.7627
##  treatment2 / treatment5 0.927 0.338 Inf    1  -0.208  0.9996
##  treatment3 / treatment4 3.006 1.041 Inf    1   3.179  0.0129
##  treatment3 / treatment5 1.782 0.597 Inf    1   1.724  0.4188
##  treatment4 / treatment5 0.593 0.224 Inf    1  -1.383  0.6386
## 
## P value adjustment: tukey method for comparing a family of 5 estimates 
## Tests are performed on the log scale
dpem <- setDT(as.data.frame(dpe$emmeans))
dpcm <- setDT(as.data.frame(dpe$contrasts))
dpem
##    treatment response        SE  df asymp.LCL asymp.UCL
## 1:         1 1.900793 0.5703361 Inf  1.055676  3.422467
## 2:         2 3.363506 0.8791113 Inf  2.015189  5.613952
## 3:         3 6.465131 1.4128247 Inf  4.212737  9.921798
## 4:         4 2.150438 0.6028137 Inf  1.241415  3.725091
## 5:         5 3.628471 0.9191513 Inf  2.208515  5.961382
dpcm
##                    contrast     ratio        SE  df null    z.ratio     p.value
##  1: treatment1 / treatment2 0.5651226 0.2235670 Inf    1 -1.4426219 0.599963871
##  2: treatment1 / treatment3 0.2940069 0.1076995 Inf    1 -3.3417911 0.007433944
##  3: treatment1 / treatment4 0.8839097 0.3585032 Inf    1 -0.3042506 0.998140424
##  4: treatment1 / treatment5 0.5238552 0.2058267 Inf    1 -1.6455268 0.468142948
##  5: treatment2 / treatment3 0.5202533 0.1750351 Inf    1 -1.9422052 0.294922881
##  6: treatment2 / treatment4 1.5641025 0.5927310 Inf    1  1.1803705 0.762700993
##  7: treatment2 / treatment5 0.9269762 0.3375810 Inf    1 -0.2082173 0.999582670
##  8: treatment3 / treatment4 3.0064249 1.0410593 Inf    1  3.1788074 0.012858176
##  9: treatment3 / treatment5 1.7817785 0.5968296 Inf    1  1.7244062 0.418809227
## 10: treatment4 / treatment5 0.5926569 0.2241653 Inf    1 -1.3830967 0.638567576
ggplot(brood.sub1, aes(x = treatment, y = dead_pupae, fill = treatment)) +
  geom_boxplot(alpha = 0.8, width = 0.5) +
  scale_fill_viridis_d() +
  labs(x = "Treatment", y = "Mean Count", title = "Average Count of Dead Pupae by Treatment") +
  theme_minimal() +
  theme(legend.position = "right")

deadpupmeans <- emmeans(object = bdp4, 
                          specs = "treatment",
                          adjust = "Tukey",
                          type = "response")

deadpup.cld.model <- cld(object = deadpupmeans,
                     adjust = "Tukey",
                     Letters = letters,
                     alpha = 0.05)
deadpup.cld.model
##  treatment response    SE  df asymp.LCL asymp.UCL .group
##  1             1.90 0.570 Inf     0.879      4.11  a    
##  4             2.15 0.603 Inf     1.047      4.42  a    
##  2             3.36 0.879 Inf     1.719      6.58  ab   
##  5             3.63 0.919 Inf     1.893      6.96  ab   
##  3             6.47 1.413 Inf     3.688     11.33   b   
## 
## Confidence level used: 0.95 
## Conf-level adjustment: sidak method for 5 estimates 
## Intervals are back-transformed from the log scale 
## P value adjustment: tukey method for comparing a family of 5 estimates 
## Tests are performed on the log scale 
## significance level used: alpha = 0.05 
## NOTE: If two or more means share the same grouping symbol,
##       then we cannot show them to be different.
##       But we also did not show them to be the same.
deadpup.means <- as.data.frame(deadpupmeans)

dp_max <- brood.sub1 %>%
  group_by(treatment) %>%
  summarize(maxdp = max((dead_pupae)))


dpsum <- brood.sub1 %>%
  group_by(treatment) %>%
  summarise(mean = mean(dead_pupae), 
            sd = sd(dead_pupae),
            n = length(dead_pupae)) %>%
  mutate(se = sd/sqrt(n))
dpsum
## # A tibble: 5 × 5
##   treatment  mean    sd     n    se
##   <fct>     <dbl> <dbl> <int> <dbl>
## 1 1          2     2.06     9 0.687
## 2 2          4     3.55     8 1.25 
## 3 3          8.89  7.27     9 2.42 
## 4 4          2.89  3.02     9 1.01 
## 5 5          3.89  4.28     9 1.43
ggplot(dpsum, aes(x = treatment, y = mean)) +
  geom_bar(stat = "identity", fill = "steelblue", color = "black") +
  geom_errorbar(aes(ymin = mean - se, ymax = mean + se), width = 0.2, position = position_dodge(0.9)) +
  labs(x = "Treatment", y = "Dead Pupae Count", title = "Average Dead Pupae by Treatment") +
  theme_minimal()

ggplot(dpem1, aes(x = treatment, y = response, fill = treatment)) +
  geom_bar(stat = "identity", color = "black") +
  scale_fill_viridis_d() +
  geom_errorbar(aes(ymin = response - SE, ymax = response + SE), width = 0.2, position = position_dodge(0.9)) +
  labs(x = "Treatment", y = "Dead Pupae", title = "Count of Dead Pupae by Treatment") +
   theme_classic(base_size = 30) +
    coord_cartesian(ylim=c(0,7.4)) +
  annotate(geom = "text", 
          x = 1, y = 7,
          label = "P < 0.01",
          size = 8) +
  annotate(geom = "text",
           x = c(1, 2, 3, 4, 5),
           y = c((dpem1$response + dpem1$SE) + 0.3) ,
           label = c("a", "ab", "b", "a", "ab"),
           size = 8) +
  theme(legend.position =  "none")

cbind larvae and pupae

mod1 <- glm(cbind(alive_lp, dead_lp) ~ treatment + whole.mean + alive + duration + replicate, data = brood, family = binomial("logit"))
summary(mod1)
## 
## Call:
## glm(formula = cbind(alive_lp, dead_lp) ~ treatment + whole.mean + 
##     alive + duration + replicate, family = binomial("logit"), 
##     data = brood)
## 
## Deviance Residuals: 
##     Min       1Q   Median       3Q      Max  
## -4.6967  -1.4846   0.1905   1.2651   3.2779  
## 
## Coefficients:
##              Estimate Std. Error z value Pr(>|z|)    
## (Intercept)  5.404021   0.597024   9.052  < 2e-16 ***
## treatment2  -1.518589   0.245644  -6.182 6.33e-10 ***
## treatment3  -0.716487   0.228851  -3.131 0.001743 ** 
## treatment4  -0.785087   0.256538  -3.060 0.002211 ** 
## treatment5  -0.537735   0.283219  -1.899 0.057610 .  
## whole.mean  -1.674925   0.689915  -2.428 0.015194 *  
## alive       -0.399663   0.095550  -4.183 2.88e-05 ***
## duration     0.005419   0.009372   0.578 0.563104    
## replicate2  -1.094777   0.351108  -3.118 0.001820 ** 
## replicate3  -1.173594   0.329035  -3.567 0.000361 ***
## replicate4  -1.391974   0.310790  -4.479 7.51e-06 ***
## replicate5  -0.793646   0.328610  -2.415 0.015728 *  
## replicate7  -1.176230   0.289198  -4.067 4.76e-05 ***
## replicate9   0.058596   0.376854   0.155 0.876436    
## replicate11 -0.987903   0.353103  -2.798 0.005146 ** 
## replicate12 -3.708534   0.472799  -7.844 4.37e-15 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 411.27  on 42  degrees of freedom
## Residual deviance: 198.04  on 27  degrees of freedom
## AIC: 351.13
## 
## Number of Fisher Scoring iterations: 5
qqnorm(resid(mod1));qqline(resid(mod1))

Anova(mod1)
## Analysis of Deviance Table (Type II tests)
## 
## Response: cbind(alive_lp, dead_lp)
##            LR Chisq Df Pr(>Chisq)    
## treatment    45.553  4  3.051e-09 ***
## whole.mean    5.997  1    0.01433 *  
## alive        19.512  1  9.999e-06 ***
## duration      0.334  1    0.56337    
## replicate   115.265  8  < 2.2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
plot(mod1)

drop1(mod1, test = "Chisq")
## Single term deletions
## 
## Model:
## cbind(alive_lp, dead_lp) ~ treatment + whole.mean + alive + duration + 
##     replicate
##            Df Deviance    AIC     LRT  Pr(>Chi)    
## <none>          198.04 351.13                      
## treatment   4   243.59 388.69  45.553 3.051e-09 ***
## whole.mean  1   204.03 355.13   5.997   0.01433 *  
## alive       1   217.55 368.64  19.512 9.999e-06 ***
## duration    1   198.37 349.47   0.334   0.56337    
## replicate   8   313.30 450.40 115.265 < 2.2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
mod3 <- update(mod1, .~. -duration)
drop1(mod3, test = "Chisq")
## Single term deletions
## 
## Model:
## cbind(alive_lp, dead_lp) ~ treatment + whole.mean + alive + replicate
##            Df Deviance    AIC     LRT  Pr(>Chi)    
## <none>          198.37 349.47                      
## treatment   4   244.39 387.48  46.018 2.442e-09 ***
## whole.mean  1   204.29 353.38   5.917     0.015 *  
## alive       1   218.37 367.46  19.994 7.767e-06 ***
## replicate   8   313.72 448.81 115.347 < 2.2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
mod3
## 
## Call:  glm(formula = cbind(alive_lp, dead_lp) ~ treatment + whole.mean + 
##     alive + replicate, family = binomial("logit"), data = brood)
## 
## Coefficients:
## (Intercept)   treatment2   treatment3   treatment4   treatment5   whole.mean  
##     5.53936     -1.48326     -0.69908     -0.78275     -0.50613     -1.50844  
##       alive   replicate2   replicate3   replicate4   replicate5   replicate7  
##    -0.40258     -1.07001     -1.13066     -1.38922     -0.81199     -1.22897  
##  replicate9  replicate11  replicate12  
##     0.06513     -0.96521     -3.67922  
## 
## Degrees of Freedom: 42 Total (i.e. Null);  28 Residual
## Null Deviance:       411.3 
## Residual Deviance: 198.4     AIC: 349.5
me <- emmeans(mod3, pairwise~treatment, type = "response")
me
## $emmeans
##  treatment  prob     SE  df asymp.LCL asymp.UCL
##  1         0.883 0.0205 Inf     0.837     0.918
##  2         0.632 0.0342 Inf     0.563     0.696
##  3         0.790 0.0237 Inf     0.740     0.833
##  4         0.776 0.0333 Inf     0.704     0.834
##  5         0.820 0.0295 Inf     0.755     0.871
## 
## Results are averaged over the levels of: replicate 
## Confidence level used: 0.95 
## Intervals are back-transformed from the logit scale 
## 
## $contrasts
##  contrast                odds.ratio     SE  df null z.ratio p.value
##  treatment1 / treatment2      4.407 1.0486 Inf    1   6.234  <.0001
##  treatment1 / treatment3      2.012 0.4570 Inf    1   3.078  0.0178
##  treatment1 / treatment4      2.187 0.5603 Inf    1   3.056  0.0190
##  treatment1 / treatment5      1.659 0.4618 Inf    1   1.818  0.3629
##  treatment2 / treatment3      0.456 0.0872 Inf    1  -4.103  0.0004
##  treatment2 / treatment4      0.496 0.1130 Inf    1  -3.076  0.0179
##  treatment2 / treatment5      0.376 0.0893 Inf    1  -4.117  0.0004
##  treatment3 / treatment4      1.087 0.2173 Inf    1   0.419  0.9936
##  treatment3 / treatment5      0.825 0.1897 Inf    1  -0.839  0.9186
##  treatment4 / treatment5      0.758 0.1866 Inf    1  -1.124  0.7937
## 
## Results are averaged over the levels of: replicate 
## P value adjustment: tukey method for comparing a family of 5 estimates 
## Tests are performed on the log odds ratio scale
mem <- setDT(as.data.frame(me$emmeans))
mcm <- setDT(as.data.frame(me$contrasts))
mem
##    treatment      prob         SE  df asymp.LCL asymp.UCL
## 1:         1 0.8834025 0.02047532 Inf 0.8369138 0.9179387
## 2:         2 0.6322289 0.03423278 Inf 0.5629712 0.6964294
## 3:         3 0.7901742 0.02372859 Inf 0.7399045 0.8329220
## 4:         4 0.7759639 0.03325733 Inf 0.7041933 0.8344157
## 5:         5 0.8203801 0.02952631 Inf 0.7551370 0.8712043
mcm
##                    contrast odds.ratio         SE  df null    z.ratio
##  1: treatment1 / treatment2  4.4073011 1.04863664 Inf    1  6.2339843
##  2: treatment1 / treatment3  2.0118960 0.45698349 Inf    1  3.0777292
##  3: treatment1 / treatment4  2.1874895 0.56029103 Inf    1  3.0560321
##  4: treatment1 / treatment5  1.6588569 0.46175618 Inf    1  1.8182651
##  5: treatment2 / treatment3  0.4564916 0.08724460 Inf    1 -4.1031063
##  6: treatment2 / treatment4  0.4963331 0.11302487 Inf    1 -3.0761840
##  7: treatment2 / treatment5  0.3763884 0.08932419 Inf    1 -4.1173815
##  8: treatment3 / treatment4  1.0872776 0.21725973 Inf    1  0.4187619
##  9: treatment3 / treatment5  0.8245242 0.18969904 Inf    1 -0.8386494
## 10: treatment4 / treatment5  0.7583382 0.18656523 Inf    1 -1.1244106
##          p.value
##  1: 4.543999e-09
##  2: 1.779215e-02
##  3: 1.904787e-02
##  4: 3.628690e-01
##  5: 3.924124e-04
##  6: 1.787909e-02
##  7: 3.691927e-04
##  8: 9.935769e-01
##  9: 9.185974e-01
## 10: 7.936902e-01
alp <- setDT(as.data.frame(Anova(mod3)))
alp
##      LR Chisq Df   Pr(>Chisq)
## 1:  46.017647  4 2.442113e-09
## 2:   5.916555  1 1.499926e-02
## 3:  19.994386  1 7.766987e-06
## 4: 115.347073  8 3.021756e-21
mem$plot <- mem$prob + mem$SE

mem
##    treatment      prob         SE  df asymp.LCL asymp.UCL      plot
## 1:         1 0.8834025 0.02047532 Inf 0.8369138 0.9179387 0.9038779
## 2:         2 0.6322289 0.03423278 Inf 0.5629712 0.6964294 0.6664617
## 3:         3 0.7901742 0.02372859 Inf 0.7399045 0.8329220 0.8139028
## 4:         4 0.7759639 0.03325733 Inf 0.7041933 0.8344157 0.8092212
## 5:         5 0.8203801 0.02952631 Inf 0.7551370 0.8712043 0.8499064
mod3
## 
## Call:  glm(formula = cbind(alive_lp, dead_lp) ~ treatment + whole.mean + 
##     alive + replicate, family = binomial("logit"), data = brood)
## 
## Coefficients:
## (Intercept)   treatment2   treatment3   treatment4   treatment5   whole.mean  
##     5.53936     -1.48326     -0.69908     -0.78275     -0.50613     -1.50844  
##       alive   replicate2   replicate3   replicate4   replicate5   replicate7  
##    -0.40258     -1.07001     -1.13066     -1.38922     -0.81199     -1.22897  
##  replicate9  replicate11  replicate12  
##     0.06513     -0.96521     -3.67922  
## 
## Degrees of Freedom: 42 Total (i.e. Null);  28 Residual
## Null Deviance:       411.3 
## Residual Deviance: 198.4     AIC: 349.5
sum <- brood %>%
  group_by(treatment) %>%
  summarise(mean.l = mean(alive_lp),
            mean.d = mean(dead_lp))


sum$prob.alive <- (sum$mean.l)/(sum$mean.d + sum$mean.l)
sum
## # A tibble: 5 × 4
##   treatment mean.l mean.d prob.alive
##   <fct>      <dbl>  <dbl>      <dbl>
## 1 1           31.4   3.78      0.893
## 2 2           19.3  11.1       0.635
## 3 3           35.3  14.7       0.707
## 4 4           20.6   9.56      0.683
## 5 5           19.3   5.44      0.780
cldb <- cld(object = me,
                     adjust = "Tukey",
                     Letters = letters,
                     alpha = 0.05)
cldb
##  treatment  prob     SE  df asymp.LCL asymp.UCL .group
##  2         0.632 0.0342 Inf     0.541     0.715  a    
##  4         0.776 0.0333 Inf     0.679     0.850   b   
##  3         0.790 0.0237 Inf     0.723     0.845   b   
##  5         0.820 0.0295 Inf     0.732     0.884   bc  
##  1         0.883 0.0205 Inf     0.820     0.927    c  
## 
## Results are averaged over the levels of: replicate 
## Confidence level used: 0.95 
## Conf-level adjustment: sidak method for 5 estimates 
## Intervals are back-transformed from the logit scale 
## P value adjustment: tukey method for comparing a family of 5 estimates 
## Tests are performed on the log odds ratio scale 
## significance level used: alpha = 0.05 
## NOTE: If two or more means share the same grouping symbol,
##       then we cannot show them to be different.
##       But we also did not show them to be the same.
ggplot(mem, aes(x = treatment, y = prob, fill = treatment)) +
  geom_bar(stat = "identity", color = "black") +
  scale_fill_viridis_d() +
  geom_errorbar(aes(ymin = prob - SE, ymax = prob + SE), width = 0.2, position = position_dodge(0.9)) +
  labs(x = "Treatment", y = "Probability", title = "Probability of Brood Being Alive Upon Dissection") +
   theme_classic(base_size = 30) +
    coord_cartesian(ylim=c(0.5,1)) +
  annotate(geom = "text", 
          x = 3, y = 1 ,
          label = "P < 0.001",
          size = 12) +
  annotate(geom = "text",
           x = c(1, 2, 3, 4, 5),
           y = c(mem$plot + 0.05),
           label = c("c", "a", "ab", "ab", "bc"),
           size = 12) +
  theme(legend.position =  "none")

Pupae cbind

mod1 <- glm(cbind(live_pupae, dead_pupae) ~ treatment + whole.mean + alive + duration + replicate, data = brood, family = binomial("logit"))
summary(mod1)
## 
## Call:
## glm(formula = cbind(live_pupae, dead_pupae) ~ treatment + whole.mean + 
##     alive + duration + replicate, family = binomial("logit"), 
##     data = brood)
## 
## Deviance Residuals: 
##     Min       1Q   Median       3Q      Max  
## -3.3141  -0.8636   0.0000   1.0110   2.5445  
## 
## Coefficients:
##               Estimate Std. Error z value Pr(>|z|)    
## (Intercept)    3.86364    1.13056   3.417 0.000632 ***
## treatment2    -1.55955    0.39839  -3.915 9.06e-05 ***
## treatment3    -1.61891    0.39620  -4.086 4.39e-05 ***
## treatment4    -0.97992    0.44120  -2.221 0.026350 *  
## treatment5    -1.54960    0.48832  -3.173 0.001507 ** 
## whole.mean    -1.05135    1.22370  -0.859 0.390253    
## alive         -0.39844    0.17490  -2.278 0.022717 *  
## duration       0.01105    0.01900   0.581 0.560943    
## replicate2    -0.26340    0.61272  -0.430 0.667270    
## replicate3    -1.64889    0.54008  -3.053 0.002265 ** 
## replicate4    -1.30972    0.63112  -2.075 0.037966 *  
## replicate5    -0.40066    0.51992  -0.771 0.440930    
## replicate7    -1.30307    0.40147  -3.246 0.001172 ** 
## replicate9    -0.14636    0.50617  -0.289 0.772461    
## replicate11   -1.12182    0.53730  -2.088 0.036808 *  
## replicate12  -18.82428 1641.31456  -0.011 0.990849    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 172.648  on 40  degrees of freedom
## Residual deviance:  89.591  on 25  degrees of freedom
## AIC: 191.36
## 
## Number of Fisher Scoring iterations: 16
qqnorm(resid(mod1));qqline(resid(mod1))

Anova(mod1)
## Analysis of Deviance Table (Type II tests)
## 
## Response: cbind(live_pupae, dead_pupae)
##            LR Chisq Df Pr(>Chisq)    
## treatment    22.075  4  0.0001937 ***
## whole.mean    0.745  1  0.3881772    
## alive         5.644  1  0.0175158 *  
## duration      0.344  1  0.5577133    
## replicate    36.303  8  1.546e-05 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
drop1(mod1, test = "Chisq")
## Single term deletions
## 
## Model:
## cbind(live_pupae, dead_pupae) ~ treatment + whole.mean + alive + 
##     duration + replicate
##            Df Deviance    AIC    LRT  Pr(>Chi)    
## <none>          89.591 191.36                     
## treatment   4  111.665 205.43 22.075 0.0001937 ***
## whole.mean  1   90.335 190.10  0.745 0.3881772    
## alive       1   95.235 195.00  5.644 0.0175158 *  
## duration    1   89.934 189.70  0.344 0.5577133    
## replicate   8  125.893 211.66 36.303 1.546e-05 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
mod3 <- update(mod1, .~. -alive)
drop1(mod3, test = "Chisq")
## Single term deletions
## 
## Model:
## cbind(live_pupae, dead_pupae) ~ treatment + whole.mean + duration + 
##     replicate
##            Df Deviance    AIC    LRT  Pr(>Chi)    
## <none>          95.235 195.00                     
## treatment   4  123.678 215.44 28.444 1.014e-05 ***
## whole.mean  1   97.767 195.53  2.533    0.1115    
## duration    1   95.672 193.44  0.438    0.5082    
## replicate   8  145.296 229.06 50.061 3.978e-08 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
mod3 <- update(mod3, .~. -duration)
drop1(mod3, test = "Chisq")
## Single term deletions
## 
## Model:
## cbind(live_pupae, dead_pupae) ~ treatment + whole.mean + replicate
##            Df Deviance    AIC    LRT  Pr(>Chi)    
## <none>          95.672 193.44                     
## treatment   4  123.967 213.73 28.295 1.087e-05 ***
## whole.mean  1   97.767 193.53  2.095    0.1478    
## replicate   8  146.250 228.01 50.577 3.165e-08 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
mod3 <- update(mod3, .~. -whole.mean)
drop1(mod3, test = "Chisq")
## Single term deletions
## 
## Model:
## cbind(live_pupae, dead_pupae) ~ treatment + replicate
##           Df Deviance    AIC    LRT  Pr(>Chi)    
## <none>         97.767 193.53                     
## treatment  4  125.854 213.62 28.086 1.198e-05 ***
## replicate  8  146.259 226.03 48.492 7.954e-08 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
plot(mod3)

Anova(mod3)
## Analysis of Deviance Table (Type II tests)
## 
## Response: cbind(live_pupae, dead_pupae)
##           LR Chisq Df Pr(>Chisq)    
## treatment   28.086  4  1.198e-05 ***
## replicate   48.492  8  7.954e-08 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
me <- emmeans(mod3, pairwise ~treatment, type = "response")
me
## $emmeans
##  treatment   prob   SE  df asymp.LCL asymp.UCL
##  1         0.3311 40.1 Inf  2.22e-16         1
##  2         0.1032 16.8 Inf  2.22e-16         1
##  3         0.0797 13.3 Inf  2.22e-16         1
##  4         0.1336 21.0 Inf  2.22e-16         1
##  5         0.0723 12.1 Inf  2.22e-16         1
## 
## Results are averaged over the levels of: replicate 
## Confidence level used: 0.95 
## Intervals are back-transformed from the logit scale 
## 
## $contrasts
##  contrast                odds.ratio    SE  df null z.ratio p.value
##  treatment1 / treatment2      4.300 1.589 Inf    1   3.948  0.0008
##  treatment1 / treatment3      5.714 2.148 Inf    1   4.637  <.0001
##  treatment1 / treatment4      3.210 1.361 Inf    1   2.751  0.0468
##  treatment1 / treatment5      6.348 2.808 Inf    1   4.178  0.0003
##  treatment2 / treatment3      1.329 0.409 Inf    1   0.924  0.8879
##  treatment2 / treatment4      0.747 0.271 Inf    1  -0.806  0.9287
##  treatment2 / treatment5      1.476 0.545 Inf    1   1.055  0.8296
##  treatment3 / treatment4      0.562 0.213 Inf    1  -1.520  0.5496
##  treatment3 / treatment5      1.111 0.418 Inf    1   0.279  0.9987
##  treatment4 / treatment5      1.977 0.838 Inf    1   1.608  0.4920
## 
## Results are averaged over the levels of: replicate 
## P value adjustment: tukey method for comparing a family of 5 estimates 
## Tests are performed on the log odds ratio scale
mem <- setDT(as.data.frame(me$emmeans))
mcm <- setDT(as.data.frame(me$contrasts))
mem
##    treatment       prob       SE  df    asymp.LCL asymp.UCL
## 1:         1 0.33110289 40.09654 Inf 2.220446e-16         1
## 2:         2 0.10323282 16.76030 Inf 2.220446e-16         1
## 3:         3 0.07971717 13.28181 Inf 2.220446e-16         1
## 4:         4 0.13359273 20.95509 Inf 2.220446e-16         1
## 5:         5 0.07233526 12.14858 Inf 2.220446e-16         1
mcm
##                    contrast odds.ratio        SE  df null    z.ratio
##  1: treatment1 / treatment2  4.2999716 1.5885958 Inf    1  3.9481250
##  2: treatment1 / treatment3  5.7144321 2.1480634 Inf    1  4.6368400
##  3: treatment1 / treatment4  3.2102800 1.3608448 Inf    1  2.7514794
##  4: treatment1 / treatment5  6.3481127 2.8081958 Inf    1  4.1778827
##  5: treatment2 / treatment3  1.3289465 0.4092201 Inf    1  0.9235481
##  6: treatment2 / treatment4  0.7465817 0.2705478 Inf    1 -0.8064699
##  7: treatment2 / treatment5  1.4763150 0.5452997 Inf    1  1.0546443
##  8: treatment3 / treatment4  0.5617846 0.2131772 Inf    1 -1.5196075
##  9: treatment3 / treatment5  1.1108913 0.4184223 Inf    1  0.2792018
## 10: treatment4 / treatment5  1.9774327 0.8383028 Inf    1  1.6082641
##          p.value
##  1: 7.506251e-04
##  2: 3.481478e-05
##  3: 4.683279e-02
##  4: 2.844270e-04
##  5: 8.879109e-01
##  6: 9.287367e-01
##  7: 8.296374e-01
##  8: 5.496209e-01
##  9: 9.986723e-01
## 10: 4.919975e-01
alp <- setDT(as.data.frame(Anova(mod3)))
alp
##    LR Chisq Df   Pr(>Chisq)
## 1: 28.08640  4 1.197998e-05
## 2: 48.49202  8 7.954480e-08
mem$plot <- mem$prob + mem$SE

mem
##    treatment       prob       SE  df    asymp.LCL asymp.UCL     plot
## 1:         1 0.33110289 40.09654 Inf 2.220446e-16         1 40.42764
## 2:         2 0.10323282 16.76030 Inf 2.220446e-16         1 16.86353
## 3:         3 0.07971717 13.28181 Inf 2.220446e-16         1 13.36153
## 4:         4 0.13359273 20.95509 Inf 2.220446e-16         1 21.08868
## 5:         5 0.07233526 12.14858 Inf 2.220446e-16         1 12.22092
mod3
## 
## Call:  glm(formula = cbind(live_pupae, dead_pupae) ~ treatment + replicate, 
##     family = binomial("logit"), data = brood)
## 
## Coefficients:
## (Intercept)   treatment2   treatment3   treatment4   treatment5   replicate2  
##      1.8324      -1.4586      -1.7430      -1.1664      -1.8482       0.3932  
##  replicate3   replicate4   replicate5   replicate7   replicate9  replicate11  
##     -1.6566      -0.2455      -0.2179      -1.4463      -0.1393      -0.9328  
## replicate12  
##    -18.5751  
## 
## Degrees of Freedom: 40 Total (i.e. Null);  28 Residual
## Null Deviance:       172.6 
## Residual Deviance: 97.77     AIC: 193.5
sum <- brood %>%
  group_by(treatment) %>%
  summarise(mean.l = mean(live_pupae),
            mean.d = mean(dead_pupae),
            sd.l = sd(live_pupae),
            sd.d = sd(dead_pupae),
            n.l = length(live_pupae),
            n.d = length(dead_pupae)) %>%
  mutate(se.l = sd.l/sqrt(n.l),
         se.d = sd.d/sqrt(n.d))

sum$prob.alive <- (sum$mean.l)/(sum$mean.d + sum$mean.l)
sum
## # A tibble: 5 × 10
##   treatment mean.l mean.d  sd.l  sd.d   n.l   n.d  se.l  se.d prob.alive
##   <fct>      <dbl>  <dbl> <dbl> <dbl> <int> <int> <dbl> <dbl>      <dbl>
## 1 1           4.78   2     4.60  2.06     9     9 1.53  0.687      0.705
## 2 2           5.56   7.89  5.00 12.1      9     9 1.67  4.04       0.413
## 3 3           4.11   8.89  5.75  7.27     9     9 1.92  2.42       0.316
## 4 4           3      2.89  2.87  3.02     9     9 0.957 1.01       0.509
## 5 5           2.89   3.89  2.98  4.28     9     9 0.992 1.43       0.426
cldb <- cld(object = me,
                     adjust = "Tukey",
                     Letters = letters,
                     alpha = 0.05)
cldb
##  treatment   prob   SE  df asymp.LCL asymp.UCL .group
##  5         0.0723 12.1 Inf  2.22e-16         1  a    
##  3         0.0797 13.3 Inf  2.22e-16         1  a    
##  2         0.1032 16.8 Inf  2.22e-16         1  a    
##  4         0.1336 21.0 Inf  2.22e-16         1  a    
##  1         0.3311 40.1 Inf  2.22e-16         1   b   
## 
## Results are averaged over the levels of: replicate 
## Confidence level used: 0.95 
## Conf-level adjustment: sidak method for 5 estimates 
## Intervals are back-transformed from the logit scale 
## P value adjustment: tukey method for comparing a family of 5 estimates 
## Tests are performed on the log odds ratio scale 
## significance level used: alpha = 0.05 
## NOTE: If two or more means share the same grouping symbol,
##       then we cannot show them to be different.
##       But we also did not show them to be the same.
ggplot(mem, aes(x = treatment, y = prob, fill = treatment)) +
  geom_bar(stat = "identity", color = "black") +
  scale_fill_viridis_d() +
  labs(x = "Treatment", y = "Probability", title = "Probability of Pupae Being Alive Upon Dissection") +
   theme_classic(base_size = 30) +
    coord_cartesian(ylim=c(0,0.5)) +
  annotate(geom = "text", 
          x = 1, y = 1.1 ,
          label = "P < 0.001",
          size = 12) +
  annotate(geom = "text",
           x = c(1, 2, 3, 4, 5),
           y = c(0.4, 0.4, 0.4, 0.4, 0.4),
           label = c("b", "ab", "ab", "a", "ab"),
           size = 12) +
  theme(legend.position =  "none")

Larvae cbind

mod1 <- glm(cbind(live_larvae, dead_larvae) ~ treatment + whole.mean + alive + duration + replicate, data = brood, family = binomial("logit"))
summary(mod1)
## 
## Call:
## glm(formula = cbind(live_larvae, dead_larvae) ~ treatment + whole.mean + 
##     alive + duration + replicate, family = binomial("logit"), 
##     data = brood)
## 
## Deviance Residuals: 
##     Min       1Q   Median       3Q      Max  
## -3.5998  -1.2715   0.4021   0.9750   2.8305  
## 
## Coefficients:
##             Estimate Std. Error z value Pr(>|z|)    
## (Intercept)  6.03883    0.93464   6.461 1.04e-10 ***
## treatment2  -0.86334    0.39793  -2.170 0.030038 *  
## treatment3  -0.62981    0.37013  -1.702 0.088835 .  
## treatment4  -1.15179    0.40030  -2.877 0.004010 ** 
## treatment5  -0.20107    0.45000  -0.447 0.655006    
## whole.mean  -5.01187    1.23621  -4.054 5.03e-05 ***
## alive       -0.27113    0.14896  -1.820 0.068733 .  
## duration     0.05460    0.01702   3.207 0.001340 ** 
## replicate2  -2.92470    0.60605  -4.826 1.39e-06 ***
## replicate3  -1.77858    0.57654  -3.085 0.002036 ** 
## replicate4  -1.97646    0.52979  -3.731 0.000191 ***
## replicate5  -1.47198    0.57815  -2.546 0.010896 *  
## replicate7  -0.19353    0.63378  -0.305 0.760091    
## replicate9  -0.24365    0.88605  -0.275 0.783326    
## replicate11 -1.38848    0.76434  -1.817 0.069283 .  
## replicate12 -5.69275    0.71672  -7.943 1.98e-15 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 329.89  on 42  degrees of freedom
## Residual deviance: 124.40  on 27  degrees of freedom
## AIC: 227.4
## 
## Number of Fisher Scoring iterations: 5
qqnorm(resid(mod1));qqline(resid(mod1))

Anova(mod1)
## Analysis of Deviance Table (Type II tests)
## 
## Response: cbind(live_larvae, dead_larvae)
##            LR Chisq Df Pr(>Chisq)    
## treatment    11.897  4   0.018130 *  
## whole.mean   18.659  1  1.563e-05 ***
## alive         3.446  1   0.063397 .  
## duration     10.753  1   0.001041 ** 
## replicate   147.015  8  < 2.2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
plot(mod1)

## Warning in sqrt(crit * p * (1 - hh)/hh): NaNs produced

## Warning in sqrt(crit * p * (1 - hh)/hh): NaNs produced

drop1(mod1, test = "Chisq")
## Single term deletions
## 
## Model:
## cbind(live_larvae, dead_larvae) ~ treatment + whole.mean + alive + 
##     duration + replicate
##            Df Deviance    AIC     LRT  Pr(>Chi)    
## <none>          124.40 227.40                      
## treatment   4   136.30 231.30  11.897  0.018130 *  
## whole.mean  1   143.06 244.06  18.659 1.563e-05 ***
## alive       1   127.85 228.84   3.446  0.063397 .  
## duration    1   135.16 236.15  10.753  0.001041 ** 
## replicate   8   271.42 358.41 147.015 < 2.2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
mod3 <- update(mod1, .~. -alive)
drop1(mod3, test = "Chisq")
## Single term deletions
## 
## Model:
## cbind(live_larvae, dead_larvae) ~ treatment + whole.mean + duration + 
##     replicate
##            Df Deviance    AIC     LRT  Pr(>Chi)    
## <none>          127.85 228.84                      
## treatment   4   146.85 239.84  18.997 0.0007869 ***
## whole.mean  1   161.35 260.34  33.499  7.13e-09 ***
## duration    1   142.69 241.69  14.843 0.0001168 ***
## replicate   8   273.54 358.53 145.690 < 2.2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
plot(mod3)

me <- emmeans(mod3, pairwise ~treatment, type = "response")
me
## $emmeans
##  treatment  prob     SE  df asymp.LCL asymp.UCL
##  1         0.965 0.0107 Inf     0.937     0.981
##  2         0.907 0.0245 Inf     0.847     0.945
##  3         0.923 0.0174 Inf     0.881     0.951
##  4         0.864 0.0339 Inf     0.783     0.918
##  5         0.940 0.0187 Inf     0.891     0.968
## 
## Results are averaged over the levels of: replicate 
## Confidence level used: 0.95 
## Intervals are back-transformed from the logit scale 
## 
## $contrasts
##  contrast                odds.ratio    SE  df null z.ratio p.value
##  treatment1 / treatment2      2.796 1.084 Inf    1   2.651  0.0615
##  treatment1 / treatment3      2.290 0.829 Inf    1   2.289  0.1483
##  treatment1 / treatment4      4.304 1.560 Inf    1   4.026  0.0005
##  treatment1 / treatment5      1.751 0.723 Inf    1   1.358  0.6547
##  treatment2 / treatment3      0.819 0.274 Inf    1  -0.597  0.9756
##  treatment2 / treatment4      1.539 0.583 Inf    1   1.140  0.7854
##  treatment2 / treatment5      0.626 0.249 Inf    1  -1.174  0.7660
##  treatment3 / treatment4      1.880 0.583 Inf    1   2.035  0.2490
##  treatment3 / treatment5      0.765 0.287 Inf    1  -0.714  0.9534
##  treatment4 / treatment5      0.407 0.166 Inf    1  -2.202  0.1789
## 
## Results are averaged over the levels of: replicate 
## P value adjustment: tukey method for comparing a family of 5 estimates 
## Tests are performed on the log odds ratio scale
mem <- setDT(as.data.frame(me$emmeans))
mcm <- setDT(as.data.frame(me$contrasts))
mem
##    treatment      prob         SE  df asymp.LCL asymp.UCL
## 1:         1 0.9647340 0.01065203 Inf 0.9367481 0.9805940
## 2:         2 0.9072783 0.02451302 Inf 0.8468015 0.9454199
## 3:         3 0.9227626 0.01742428 Inf 0.8809359 0.9507177
## 4:         4 0.8640648 0.03390217 Inf 0.7830883 0.9179779
## 5:         5 0.9398269 0.01867889 Inf 0.8910106 0.9675741
mcm
##                    contrast odds.ratio        SE  df null    z.ratio
##  1: treatment1 / treatment2  2.7957078 1.0841160 Inf    1  2.6512164
##  2: treatment1 / treatment3  2.2897535 0.8287044 Inf    1  2.2890346
##  3: treatment1 / treatment4  4.3036429 1.5599222 Inf    1  4.0264844
##  4: treatment1 / treatment5  1.7514791 0.7229100 Inf    1  1.3578940
##  5: treatment2 / treatment3  0.8190246 0.2739677 Inf    1 -0.5968258
##  6: treatment2 / treatment4  1.5393751 0.5826962 Inf    1  1.1396167
##  7: treatment2 / treatment5  0.6264886 0.2494370 Inf    1 -1.1744911
##  8: treatment3 / treatment4  1.8795223 0.5827088 Inf    1  2.0353424
##  9: treatment3 / treatment5  0.7649204 0.2871633 Inf    1 -0.7138309
## 10: treatment4 / treatment5  0.4069759 0.1661563 Inf    1 -2.2019744
##          p.value
##  1: 0.0614830706
##  2: 0.1483294047
##  3: 0.0005424497
##  4: 0.6547271400
##  5: 0.9756035165
##  6: 0.7854480508
##  7: 0.7660393002
##  8: 0.2490207528
##  9: 0.9534173008
## 10: 0.1788564451
alp <- setDT(as.data.frame(Anova(mod3)))
alp
##     LR Chisq Df   Pr(>Chisq)
## 1:  18.99742  4 7.868611e-04
## 2:  33.49905  1 7.129898e-09
## 3:  14.84331  1 1.168215e-04
## 4: 145.68963  8 1.552204e-27
mem$plot <- mem$prob + mem$SE

mem
##    treatment      prob         SE  df asymp.LCL asymp.UCL      plot
## 1:         1 0.9647340 0.01065203 Inf 0.9367481 0.9805940 0.9753860
## 2:         2 0.9072783 0.02451302 Inf 0.8468015 0.9454199 0.9317913
## 3:         3 0.9227626 0.01742428 Inf 0.8809359 0.9507177 0.9401868
## 4:         4 0.8640648 0.03390217 Inf 0.7830883 0.9179779 0.8979670
## 5:         5 0.9398269 0.01867889 Inf 0.8910106 0.9675741 0.9585058
mod3
## 
## Call:  glm(formula = cbind(live_larvae, dead_larvae) ~ treatment + whole.mean + 
##     duration + replicate, family = binomial("logit"), data = brood)
## 
## Coefficients:
## (Intercept)   treatment2   treatment3   treatment4   treatment5   whole.mean  
##     5.27463     -1.02809     -0.82844     -1.45946     -0.56046     -6.04538  
##    duration   replicate2   replicate3   replicate4   replicate5   replicate7  
##     0.06325     -3.00087     -1.85006     -1.70939     -1.24675     -0.16670  
##  replicate9  replicate11  replicate12  
##    -0.40235     -1.65855     -5.98046  
## 
## Degrees of Freedom: 42 Total (i.e. Null);  28 Residual
## Null Deviance:       329.9 
## Residual Deviance: 127.9     AIC: 228.8
sum <- brood %>%
  group_by(treatment) %>%
  summarise(mean.l = mean(live_larvae),
            mean.d = mean(dead_larvae),
            sd.l = sd(live_larvae),
            sd.d = sd(dead_larvae),
            n.l = length(live_larvae),
            n.d = length(dead_larvae)) %>%
  mutate(se.l = sd.l/sqrt(n.l),
         se.d = sd.d/sqrt(n.d))

sum$prob.alive <- (sum$mean.l)/(sum$mean.d + sum$mean.l)
sum
## # A tibble: 5 × 10
##   treatment mean.l mean.d  sd.l  sd.d   n.l   n.d  se.l  se.d prob.alive
##   <fct>      <dbl>  <dbl> <dbl> <dbl> <int> <int> <dbl> <dbl>      <dbl>
## 1 1           26.7   1.78 26.6   1.99     9     9  8.88 0.662      0.938
## 2 2           13.8   3.22  9.72  5.26     9     9  3.24 1.75       0.810
## 3 3           31.2   5.78 23.1   6.22     9     9  7.70 2.07       0.844
## 4 4           17.6   6.67 14.3  14.8      9     9  4.75 4.94       0.725
## 5 5           16.4   1.56 13.4   1.88     9     9  4.47 0.626      0.914
cldb <- cld(object = me,
                     adjust = "Tukey",
                     Letters = letters,
                     alpha = 0.05)
cldb
##  treatment  prob     SE  df asymp.LCL asymp.UCL .group
##  4         0.864 0.0339 Inf     0.752     0.930  a    
##  2         0.907 0.0245 Inf     0.822     0.954  ab   
##  3         0.923 0.0174 Inf     0.864     0.957  ab   
##  5         0.940 0.0187 Inf     0.870     0.973  ab   
##  1         0.965 0.0107 Inf     0.924     0.984   b   
## 
## Results are averaged over the levels of: replicate 
## Confidence level used: 0.95 
## Conf-level adjustment: sidak method for 5 estimates 
## Intervals are back-transformed from the logit scale 
## P value adjustment: tukey method for comparing a family of 5 estimates 
## Tests are performed on the log odds ratio scale 
## significance level used: alpha = 0.05 
## NOTE: If two or more means share the same grouping symbol,
##       then we cannot show them to be different.
##       But we also did not show them to be the same.
ggplot(mem, aes(x = treatment, y = prob, fill = treatment)) +
  geom_bar(stat = "identity", color = "black") +
  scale_fill_viridis_d() +
  labs(x = "Treatment", y = "Probability", title = "Probability of Larvae Being Alive Upon Dissection") +
geom_errorbar(aes(ymin = prob - SE, ymax = prob + SE), width = 0.2, position = position_dodge(0.9)) +
   theme_classic(base_size = 30) +
    coord_cartesian(ylim=c(0.8,1.1)) +
  annotate(geom = "text", 
          x = 3, y = 1.1 ,
          label = "P < 0.001",
          size = 12) +
  annotate(geom = "text",
           x = c(1, 2, 3, 4, 5),
           y = c(mem$plot + 0.05),
           label = c("c", "a", "ab", "ab", "bc"),
           size = 12) +
  theme(legend.position =  "none")

Drone Count

drone.ce$sqr <- (drone.ce$count)^2

dc1 <- glm.nb(count ~ treatment + whole.mean + alive + duration + replicate, data = drone.ce)
## Warning in glm.nb(count ~ treatment + whole.mean + alive + duration +
## replicate, : alternation limit reached
dc2 <- glm.nb(count ~ treatment*whole.mean + alive + duration + replicate, data = drone.ce)
## Warning in glm.nb(count ~ treatment * whole.mean + alive + duration +
## replicate, : alternation limit reached
dc3 <- glm(count ~ treatment + whole.mean + alive + duration + replicate, data = drone.ce, family = "poisson")
summary(dc3) #overdispersed 
## 
## Call:
## glm(formula = count ~ treatment + whole.mean + alive + duration + 
##     replicate, family = "poisson", data = drone.ce)
## 
## Deviance Residuals: 
##     Min       1Q   Median       3Q      Max  
## -2.9722  -1.0601  -0.3165   0.7621   2.2854  
## 
## Coefficients:
##             Estimate Std. Error z value Pr(>|z|)    
## (Intercept) -0.77558    0.71298  -1.088 0.276685    
## treatment2  -0.03635    0.16107  -0.226 0.821479    
## treatment3  -0.36343    0.16560  -2.195 0.028186 *  
## treatment4   0.08370    0.17064   0.490 0.623790    
## treatment5   0.20407    0.17129   1.191 0.233509    
## whole.mean   2.80299    0.45461   6.166 7.02e-10 ***
## alive        0.13425    0.06796   1.975 0.048235 *  
## duration     0.02925    0.01533   1.908 0.056342 .  
## replicate2   0.32594    0.19870   1.640 0.100935    
## replicate3  -0.04694    0.18762  -0.250 0.802451    
## replicate4  -0.06918    0.19777  -0.350 0.726471    
## replicate5  -0.32560    0.21152  -1.539 0.123725    
## replicate7  -0.27885    0.18060  -1.544 0.122577    
## replicate9  -0.27318    0.20180  -1.354 0.175837    
## replicate11 -0.57746    0.24643  -2.343 0.019115 *  
## replicate12 -1.40686    0.38401  -3.664 0.000249 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for poisson family taken to be 1)
## 
##     Null deviance: 275.44  on 44  degrees of freedom
## Residual deviance:  79.40  on 29  degrees of freedom
## AIC: 273.4
## 
## Number of Fisher Scoring iterations: 6
dc1sq <- glm.nb(sqr ~ treatment + whole.mean + alive + duration + replicate, data = drone.ce)
dc2sq <- glm.nb(sqr ~ treatment*whole.mean + alive + duration + replicate, data = drone.ce)
## Warning: glm.fit: algorithm did not converge
## Warning in glm.nb(sqr ~ treatment * whole.mean + alive + duration + replicate,
## : alternation limit reached
dc3sq <- glm(sqr ~ treatment + whole.mean + alive + duration + replicate, data = drone.ce, family = "poisson")
summary(dc3sq)
## 
## Call:
## glm(formula = sqr ~ treatment + whole.mean + alive + duration + 
##     replicate, family = "poisson", data = drone.ce)
## 
## Deviance Residuals: 
##     Min       1Q   Median       3Q      Max  
## -11.181   -5.918   -2.122    2.237   17.194  
## 
## Coefficients:
##             Estimate Std. Error z value Pr(>|z|)    
## (Intercept)  0.48417    0.20396   2.374   0.0176 *  
## treatment2  -0.03144    0.04322  -0.728   0.4669    
## treatment3  -0.53267    0.04563 -11.673  < 2e-16 ***
## treatment4   0.24822    0.04454   5.573 2.51e-08 ***
## treatment5   0.41218    0.04646   8.872  < 2e-16 ***
## whole.mean   4.45172    0.12654  35.179  < 2e-16 ***
## alive        0.02628    0.01838   1.430   0.1527    
## duration     0.05409    0.00436  12.406  < 2e-16 ***
## replicate2   0.23553    0.05204   4.526 6.01e-06 ***
## replicate3  -0.09203    0.04911  -1.874   0.0609 .  
## replicate4  -0.20187    0.04803  -4.203 2.64e-05 ***
## replicate5  -0.56618    0.05276 -10.732  < 2e-16 ***
## replicate7  -0.37640    0.04639  -8.113 4.94e-16 ***
## replicate9  -0.42743    0.05358  -7.978 1.49e-15 ***
## replicate11 -1.16656    0.08743 -13.343  < 2e-16 ***
## replicate12 -2.75411    0.18700 -14.728  < 2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for poisson family taken to be 1)
## 
##     Null deviance: 7659.1  on 44  degrees of freedom
## Residual deviance: 2143.3  on 29  degrees of freedom
## AIC: 2424
## 
## Number of Fisher Scoring iterations: 6
anova(dc1, dc2, test = "Chisq")
## Likelihood ratio tests of Negative Binomial Models
## 
## Response: count
##                                                   Model    theta Resid. df
## 1 treatment + whole.mean + alive + duration + replicate 18.38429        29
## 2 treatment * whole.mean + alive + duration + replicate 31.97521        25
##      2 x log-lik.   Test    df LR stat.    Pr(Chi)
## 1       -237.8697                                 
## 2       -229.3870 1 vs 2     4 8.482753 0.07541174
AIC(dc1, dc2)
##     df      AIC
## dc1 17 271.8697
## dc2 21 271.3870
drop1(dc1, test = "Chisq")
## Single term deletions
## 
## Model:
## count ~ treatment + whole.mean + alive + duration + replicate
##            Df Deviance    AIC    LRT  Pr(>Chi)    
## <none>          57.249 269.87                     
## treatment   4   66.473 271.09  9.224   0.05573 .  
## whole.mean  1   84.576 295.20 27.327 1.718e-07 ***
## alive       1   61.532 272.15  4.283   0.03850 *  
## duration    1   59.403 270.02  2.155   0.14215    
## replicate   8   90.275 286.90 33.026 6.093e-05 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
dc4 <- update(dc1, .~. -duration)
## Warning in glm.nb(formula = count ~ treatment + whole.mean + alive + replicate,
## : alternation limit reached
drop1(dc4, test = "Chisq")
## Single term deletions
## 
## Model:
## count ~ treatment + whole.mean + alive + replicate
##            Df Deviance    AIC    LRT  Pr(>Chi)    
## <none>          55.843 269.91                     
## treatment   4   63.096 269.17  7.253   0.12311    
## whole.mean  1   79.374 291.44 23.531 1.229e-06 ***
## alive       1   65.681 277.75  9.838   0.00171 ** 
## replicate   8   90.932 289.00 35.089 2.576e-05 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
summary(dc4)
## 
## Call:
## glm.nb(formula = count ~ treatment + whole.mean + alive + replicate, 
##     data = drone.ce, init.theta = 14.68324431, link = log)
## 
## Deviance Residuals: 
##     Min       1Q   Median       3Q      Max  
## -2.3007  -0.8804  -0.2948   0.5265   2.1204  
## 
## Coefficients:
##             Estimate Std. Error z value Pr(>|z|)    
## (Intercept)  0.09323    0.41684   0.224  0.82302    
## treatment2  -0.15144    0.20786  -0.729  0.46624    
## treatment3  -0.46195    0.21536  -2.145  0.03195 *  
## treatment4  -0.07613    0.21094  -0.361  0.71815    
## treatment5   0.04504    0.21202   0.212  0.83177    
## whole.mean   2.83003    0.58163   4.866 1.14e-06 ***
## alive        0.23588    0.07720   3.055  0.00225 ** 
## replicate2   0.54340    0.25150   2.161  0.03072 *  
## replicate3  -0.15243    0.25519  -0.597  0.55028    
## replicate4   0.02448    0.28370   0.086  0.93123    
## replicate5  -0.38163    0.29723  -1.284  0.19916    
## replicate7  -0.37317    0.24662  -1.513  0.13024    
## replicate9  -0.23196    0.26640  -0.871  0.38391    
## replicate11 -0.62453    0.30246  -2.065  0.03894 *  
## replicate12 -1.15649    0.41832  -2.765  0.00570 ** 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for Negative Binomial(14.6832) family taken to be 1)
## 
##     Null deviance: 182.707  on 44  degrees of freedom
## Residual deviance:  55.843  on 30  degrees of freedom
## AIC: 271.91
## 
## Number of Fisher Scoring iterations: 1
## 
## 
##               Theta:  14.68 
##           Std. Err.:  8.33 
## Warning while fitting theta: alternation limit reached 
## 
##  2 x log-likelihood:  -239.912
dc4 <- update(dc4, .~. -replicate)
Anova(dc4)
## Analysis of Deviance Table (Type II tests)
## 
## Response: count
##            LR Chisq Df Pr(>Chisq)    
## treatment     4.413  4   0.352943    
## whole.mean   32.573  1  1.148e-08 ***
## alive         7.466  1   0.006289 ** 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
summary(dc4) 
## 
## Call:
## glm.nb(formula = count ~ treatment + whole.mean + alive, data = drone.ce, 
##     init.theta = 4.343667636, link = log)
## 
## Deviance Residuals: 
##    Min      1Q  Median      3Q     Max  
## -2.061  -1.065  -0.510   0.620   1.737  
## 
## Coefficients:
##             Estimate Std. Error z value Pr(>|z|)    
## (Intercept) -0.12758    0.39976  -0.319  0.74962    
## treatment2  -0.19039    0.28634  -0.665  0.50612    
## treatment3  -0.50990    0.29434  -1.732  0.08322 .  
## treatment4  -0.06357    0.28568  -0.223  0.82391    
## treatment5   0.02116    0.29086   0.073  0.94201    
## whole.mean   3.12514    0.53234   5.871 4.34e-09 ***
## alive        0.21788    0.07792   2.796  0.00517 ** 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for Negative Binomial(4.3437) family taken to be 1)
## 
##     Null deviance: 109.163  on 44  degrees of freedom
## Residual deviance:  56.648  on 38  degrees of freedom
## AIC: 283.48
## 
## Number of Fisher Scoring iterations: 1
## 
## 
##               Theta:  4.34 
##           Std. Err.:  1.58 
## 
##  2 x log-likelihood:  -267.481
Anova(dc4)
## Analysis of Deviance Table (Type II tests)
## 
## Response: count
##            LR Chisq Df Pr(>Chisq)    
## treatment     4.413  4   0.352943    
## whole.mean   32.573  1  1.148e-08 ***
## alive         7.466  1   0.006289 ** 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
plot(dc4)

drop1(dc1sq, test = "Chisq")
## Warning: glm.fit: algorithm did not converge
## Single term deletions
## 
## Model:
## sqr ~ treatment + whole.mean + alive + duration + replicate
##            Df Deviance    AIC     LRT  Pr(>Chi)    
## <none>          51.577 503.29                      
## treatment   4   58.759 502.47  7.1820 0.1265750    
## whole.mean  1   74.579 524.29 23.0016 1.619e-06 ***
## alive       1   57.808 507.52  6.2306 0.0125560 *  
## duration    1   52.211 501.92  0.6334 0.4261035    
## replicate   8   82.399 518.11 30.8217 0.0001511 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
dc4sq <- update(dc1sq, .~. -duration)
drop1(dc4sq, test = "Chisq")
## Single term deletions
## 
## Model:
## sqr ~ treatment + whole.mean + alive + replicate
##            Df Deviance    AIC    LRT  Pr(>Chi)    
## <none>          51.597 501.91                     
## treatment   4   58.153 500.47  6.556  0.161296    
## whole.mean  1   74.405 522.72 22.809 1.790e-06 ***
## alive       1   61.557 509.88  9.961  0.001599 ** 
## replicate   8   89.496 523.81 37.900 7.856e-06 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
sum <- drone.ce %>%
  group_by(treatment) %>%
  summarise(mean = mean(count), 
            sd = sd(count),
            n = length(count)) %>%
  mutate(se = sd/sqrt(n))
sum
## # A tibble: 5 × 5
##   treatment  mean    sd     n    se
##   <fct>     <dbl> <dbl> <int> <dbl>
## 1 1          9.67  7.47     9  2.49
## 2 2          9.78  6.67     9  2.22
## 3 3          8.67  6.76     9  2.25
## 4 4         12.2   9.13     9  3.04
## 5 5         10.9   6.92     9  2.31
ggplot(sum, aes(x = treatment, y = mean)) +
  geom_bar(stat = "identity", fill = "steelblue", color = "black") +
  geom_errorbar(aes(ymin = mean - se, ymax = mean + se), width = 0.2, position = position_dodge(0.9)) +
  labs(x = "Treatment", y = "Drone Count", title = "Average Drones Produced by Treatment") +
  theme_minimal()

dc4
## 
## Call:  glm.nb(formula = count ~ treatment + whole.mean + alive, data = drone.ce, 
##     init.theta = 4.343667636, link = log)
## 
## Coefficients:
## (Intercept)   treatment2   treatment3   treatment4   treatment5   whole.mean  
##    -0.12758     -0.19039     -0.50990     -0.06357      0.02116      3.12514  
##       alive  
##     0.21788  
## 
## Degrees of Freedom: 44 Total (i.e. Null);  38 Residual
## Null Deviance:       109.2 
## Residual Deviance: 56.65     AIC: 283.5
da <- setDT(as.data.frame(Anova(dc4)))
da
##     LR Chisq Df   Pr(>Chisq)
## 1:  4.413376  4 3.529428e-01
## 2: 32.573373  1 1.147765e-08
## 3:  7.465608  1 6.288880e-03
Anova(dc4)
## Analysis of Deviance Table (Type II tests)
## 
## Response: count
##            LR Chisq Df Pr(>Chisq)    
## treatment     4.413  4   0.352943    
## whole.mean   32.573  1  1.148e-08 ***
## alive         7.466  1   0.006289 ** 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
emdc <- emmeans(dc4, pairwise ~ "treatment", type = "response")
em <- setDT(as.data.frame(emdc$emmeans))
emc <- setDT(as.data.frame(emdc$contrasts))
em
##    treatment response       SE  df asymp.LCL asymp.UCL
## 1:         1 9.677313 1.979361 Inf  6.481168  14.44962
## 2:         2 7.999655 1.592026 Inf  5.415917  11.81600
## 3:         3 5.811774 1.222578 Inf  3.848115   8.77747
## 4:         4 9.081289 1.824547 Inf  6.125340  13.46371
## 5:         5 9.884230 1.992752 Inf  6.657831  14.67415
emc
##                    contrast     ratio        SE  df null     z.ratio   p.value
##  1: treatment1 / treatment2 1.2097164 0.3463931 Inf    1  0.66488897 0.9638558
##  2: treatment1 / treatment3 1.6651222 0.4901177 Inf    1  1.73232562 0.4139619
##  3: treatment1 / treatment4 1.0656321 0.3044289 Inf    1  0.22251595 0.9994572
##  4: treatment1 / treatment5 0.9790660 0.2847679 Inf    1 -0.07273777 0.9999937
##  5: treatment2 / treatment3 1.3764567 0.3914798 Inf    1  1.12341767 0.7942236
##  6: treatment2 / treatment4 0.8808942 0.2466719 Inf    1 -0.45288099 0.9913331
##  7: treatment2 / treatment5 0.8093351 0.2270304 Inf    1 -0.75412165 0.9434938
##  8: treatment3 / treatment4 0.6399723 0.1823405 Inf    1 -1.56651464 0.5190203
##  9: treatment3 / treatment5 0.5879844 0.1690929 Inf    1 -1.84662909 0.3466784
## 10: treatment4 / treatment5 0.9187654 0.2617942 Inf    1 -0.29733999 0.9983004

Drone Emerge Time

drone.ce.na <- na.omit(drone.ce)

drone.ce.na$sqr <- (drone.ce.na$emerge)^2

descdist(drone.ce.na$emerge, discrete = TRUE)

## summary statistics
## ------
## min:  30   max:  51 
## median:  35 
## mean:  36.225 
## estimated sd:  4.822424 
## estimated skewness:  1.752133 
## estimated kurtosis:  6.441673
de1 <- glm(emerge ~ treatment + whole.mean + alive + replicate, data = drone.ce.na, family ="quasipoisson")
summary(de1)
## 
## Call:
## glm(formula = emerge ~ treatment + whole.mean + alive + replicate, 
##     family = "quasipoisson", data = drone.ce.na)
## 
## Deviance Residuals: 
##      Min        1Q    Median        3Q       Max  
## -1.03644  -0.25674   0.00545   0.27912   1.22483  
## 
## Coefficients:
##              Estimate Std. Error t value Pr(>|t|)    
## (Intercept)  3.653544   0.144688  25.251   <2e-16 ***
## treatment2  -0.061728   0.053350  -1.157   0.2582    
## treatment3  -0.011945   0.051512  -0.232   0.8185    
## treatment4  -0.108524   0.053852  -2.015   0.0548 .  
## treatment5  -0.050911   0.055578  -0.916   0.3684    
## whole.mean  -0.281800   0.153605  -1.835   0.0785 .  
## alive        0.025129   0.026192   0.959   0.3465    
## replicate2   0.096293   0.066346   1.451   0.1591    
## replicate3  -0.046442   0.067200  -0.691   0.4959    
## replicate4  -0.011912   0.078839  -0.151   0.8811    
## replicate5  -0.012218   0.082368  -0.148   0.8833    
## replicate7  -0.048032   0.065540  -0.733   0.4705    
## replicate9  -0.000324   0.066942  -0.005   0.9962    
## replicate11 -0.055262   0.065482  -0.844   0.4067    
## replicate12  0.147685   0.071870   2.055   0.0505 .  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for quasipoisson family taken to be 0.3456089)
## 
##     Null deviance: 23.5381  on 39  degrees of freedom
## Residual deviance:  8.6337  on 25  degrees of freedom
## AIC: NA
## 
## Number of Fisher Scoring iterations: 4
de2 <- glm.nb(emerge ~ treatment*whole.mean + alive + replicate , data = drone.ce.na)
## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached

## Warning in theta.ml(Y, mu, sum(w), w, limit = control$maxit, trace =
## control$trace > : iteration limit reached
summary(de2)
## 
## Call:
## glm.nb(formula = emerge ~ treatment * whole.mean + alive + replicate, 
##     data = drone.ce.na, init.theta = 4725554.577, link = log)
## 
## Deviance Residuals: 
##      Min        1Q    Median        3Q       Max  
## -0.79664  -0.27250   0.02079   0.27948   0.80747  
## 
## Coefficients:
##                         Estimate Std. Error z value Pr(>|z|)    
## (Intercept)            4.0176503  0.3825969  10.501   <2e-16 ***
## treatment2            -0.4346588  0.3545593  -1.226    0.220    
## treatment3            -0.2153216  0.2746982  -0.784    0.433    
## treatment4            -0.5276330  0.3344305  -1.578    0.115    
## treatment5            -0.0992442  0.3020398  -0.329    0.742    
## whole.mean            -0.7555286  0.4736934  -1.595    0.111    
## alive                 -0.0068433  0.0559705  -0.122    0.903    
## replicate2             0.0812390  0.1165699   0.697    0.486    
## replicate3            -0.0159312  0.1268114  -0.126    0.900    
## replicate4            -0.0522011  0.1494804  -0.349    0.727    
## replicate5             0.0210630  0.1454255   0.145    0.885    
## replicate7             0.0006727  0.1150434   0.006    0.995    
## replicate9             0.0019656  0.1139552   0.017    0.986    
## replicate11           -0.0427379  0.1171277  -0.365    0.715    
## replicate12            0.1557526  0.1274373   1.222    0.222    
## treatment2:whole.mean  0.7603007  0.6747551   1.127    0.260    
## treatment3:whole.mean  0.4369394  0.5131426   0.851    0.394    
## treatment4:whole.mean  0.8322939  0.6325692   1.316    0.188    
## treatment5:whole.mean  0.1027956  0.6080925   0.169    0.866    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for Negative Binomial(4725555) family taken to be 1)
## 
##     Null deviance: 23.5379  on 39  degrees of freedom
## Residual deviance:  5.6963  on 21  degrees of freedom
## AIC: 262.68
## 
## Number of Fisher Scoring iterations: 1
## 
## 
##               Theta:  4725555 
##           Std. Err.:  159271303 
## Warning while fitting theta: iteration limit reached 
## 
##  2 x log-likelihood:  -222.68
de22 <- glm.nb(sqr ~ treatment + whole.mean + alive + replicate + drones, data = drone.ce.na)
summary(de22)
## 
## Call:
## glm.nb(formula = sqr ~ treatment + whole.mean + alive + replicate + 
##     drones, data = drone.ce.na, init.theta = 52.65876732, link = log)
## 
## Deviance Residuals: 
##      Min        1Q    Median        3Q       Max  
## -2.47597  -0.34149  -0.04262   0.52348   2.54332  
## 
## Coefficients:
##              Estimate Std. Error z value Pr(>|z|)    
## (Intercept)  7.306666   0.205243  35.600  < 2e-16 ***
## treatment2  -0.087298   0.077534  -1.126 0.260194    
## treatment3   0.045342   0.079906   0.567 0.570415    
## treatment4  -0.234213   0.077478  -3.023 0.002503 ** 
## treatment5  -0.118206   0.080852  -1.462 0.143741    
## whole.mean  -0.908862   0.267878  -3.393 0.000692 ***
## alive        0.055251   0.037141   1.488 0.136856    
## replicate2   0.129295   0.102869   1.257 0.208794    
## replicate3  -0.113273   0.095388  -1.187 0.235034    
## replicate4  -0.068489   0.114248  -0.599 0.548857    
## replicate5  -0.030703   0.115995  -0.265 0.791249    
## replicate7  -0.108434   0.092224  -1.176 0.239689    
## replicate9  -0.021383   0.096531  -0.222 0.824692    
## replicate11 -0.093616   0.094562  -0.990 0.322174    
## replicate12  0.331779   0.108331   3.063 0.002194 ** 
## drones       0.014854   0.006574   2.259 0.023861 *  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for Negative Binomial(52.6588) family taken to be 1)
## 
##     Null deviance: 132.233  on 39  degrees of freedom
## Residual deviance:  39.894  on 24  degrees of freedom
## AIC: 563.75
## 
## Number of Fisher Scoring iterations: 1
## 
## 
##               Theta:  52.7 
##           Std. Err.:  12.2 
## 
##  2 x log-likelihood:  -529.748
plot(de22)

plot(de1)

de4 <- glm(emerge ~ treatment + whole.mean + alive + replicate + qro, data = drone.ce.na, family = "poisson")
summary(de2) #underdispersed 
## 
## Call:
## glm.nb(formula = emerge ~ treatment * whole.mean + alive + replicate, 
##     data = drone.ce.na, init.theta = 4725554.577, link = log)
## 
## Deviance Residuals: 
##      Min        1Q    Median        3Q       Max  
## -0.79664  -0.27250   0.02079   0.27948   0.80747  
## 
## Coefficients:
##                         Estimate Std. Error z value Pr(>|z|)    
## (Intercept)            4.0176503  0.3825969  10.501   <2e-16 ***
## treatment2            -0.4346588  0.3545593  -1.226    0.220    
## treatment3            -0.2153216  0.2746982  -0.784    0.433    
## treatment4            -0.5276330  0.3344305  -1.578    0.115    
## treatment5            -0.0992442  0.3020398  -0.329    0.742    
## whole.mean            -0.7555286  0.4736934  -1.595    0.111    
## alive                 -0.0068433  0.0559705  -0.122    0.903    
## replicate2             0.0812390  0.1165699   0.697    0.486    
## replicate3            -0.0159312  0.1268114  -0.126    0.900    
## replicate4            -0.0522011  0.1494804  -0.349    0.727    
## replicate5             0.0210630  0.1454255   0.145    0.885    
## replicate7             0.0006727  0.1150434   0.006    0.995    
## replicate9             0.0019656  0.1139552   0.017    0.986    
## replicate11           -0.0427379  0.1171277  -0.365    0.715    
## replicate12            0.1557526  0.1274373   1.222    0.222    
## treatment2:whole.mean  0.7603007  0.6747551   1.127    0.260    
## treatment3:whole.mean  0.4369394  0.5131426   0.851    0.394    
## treatment4:whole.mean  0.8322939  0.6325692   1.316    0.188    
## treatment5:whole.mean  0.1027956  0.6080925   0.169    0.866    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for Negative Binomial(4725555) family taken to be 1)
## 
##     Null deviance: 23.5379  on 39  degrees of freedom
## Residual deviance:  5.6963  on 21  degrees of freedom
## AIC: 262.68
## 
## Number of Fisher Scoring iterations: 1
## 
## 
##               Theta:  4725555 
##           Std. Err.:  159271303 
## Warning while fitting theta: iteration limit reached 
## 
##  2 x log-likelihood:  -222.68
AIC(de1, de4)
##     df      AIC
## de1 15       NA
## de4 15 255.6173
AIC(de1, de22)
##      df      AIC
## de1  15       NA
## de22 17 563.7475
drop1(de22, test ="Chisq")
## Single term deletions
## 
## Model:
## sqr ~ treatment + whole.mean + alive + replicate + drones
##            Df Deviance    AIC     LRT  Pr(>Chi)    
## <none>          39.894 561.75                      
## treatment   4   55.154 569.01 15.2600 0.0041912 ** 
## whole.mean  1   51.058 570.91 11.1644 0.0008338 ***
## alive       1   42.041 561.89  2.1472 0.1428345    
## replicate   8   65.871 571.72 25.9772 0.0010598 ** 
## drones      1   44.992 564.85  5.0980 0.0239535 *  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
de2 <- update(de22, .~. -alive)
drop1(de2, test = "Chisq")
## Single term deletions
## 
## Model:
## sqr ~ treatment + whole.mean + replicate + drones
##            Df Deviance    AIC     LRT Pr(>Chi)   
## <none>          39.938 561.84                    
## treatment   4   54.675 568.58 14.7372 0.005279 **
## whole.mean  1   49.674 569.58  9.7352 0.001808 **
## replicate   8   62.896 568.80 22.9574 0.003419 **
## drones      1   45.007 564.91  5.0691 0.024356 * 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Anova(de2)
## Analysis of Deviance Table (Type II tests)
## 
## Response: sqr
##            LR Chisq Df Pr(>Chisq)   
## treatment   14.7372  4   0.005279 **
## whole.mean   9.7352  1   0.001808 **
## replicate   22.9574  8   0.003419 **
## drones       5.0691  1   0.024356 * 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
ggplot(drone.ce.na, aes(x = treatment, y = emerge, fill = treatment)) +
  geom_boxplot(alpha = 0.8, width = 0.5, outlier.shape = NA) +
  scale_fill_viridis_d() +
  labs(x = "Treatment", y = "Mean Count of Days", title = "Days Until First Drone Emergence by Treatment") +
  theme_minimal() +
  theme(legend.position = "right")

plot(de2)

Anova(de2)
## Analysis of Deviance Table (Type II tests)
## 
## Response: sqr
##            LR Chisq Df Pr(>Chisq)   
## treatment   14.7372  4   0.005279 **
## whole.mean   9.7352  1   0.001808 **
## replicate   22.9574  8   0.003419 **
## drones       5.0691  1   0.024356 * 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
de2
## 
## Call:  glm.nb(formula = sqr ~ treatment + whole.mean + replicate + drones, 
##     data = drone.ce.na, init.theta = 49.93446301, link = log)
## 
## Coefficients:
## (Intercept)   treatment2   treatment3   treatment4   treatment5   whole.mean  
##     7.53798     -0.06360      0.07134     -0.22691     -0.07296     -0.86857  
##  replicate2   replicate3   replicate4   replicate5   replicate7   replicate9  
##     0.07829     -0.10785     -0.15136     -0.08726     -0.11242     -0.03911  
## replicate11  replicate12       drones  
##    -0.08568      0.31153      0.01518  
## 
## Degrees of Freedom: 39 Total (i.e. Null);  25 Residual
## Null Deviance:       125.6 
## Residual Deviance: 39.94     AIC: 563.8
ea <- setDT(as.data.frame(Anova(de2)))
ea
##     LR Chisq Df  Pr(>Chisq)
## 1: 14.737161  4 0.005278589
## 2:  9.735202  1 0.001807722
## 3: 22.957367  8 0.003419415
## 4:  5.069106  1 0.024355939
de2
## 
## Call:  glm.nb(formula = sqr ~ treatment + whole.mean + replicate + drones, 
##     data = drone.ce.na, init.theta = 49.93446301, link = log)
## 
## Coefficients:
## (Intercept)   treatment2   treatment3   treatment4   treatment5   whole.mean  
##     7.53798     -0.06360      0.07134     -0.22691     -0.07296     -0.86857  
##  replicate2   replicate3   replicate4   replicate5   replicate7   replicate9  
##     0.07829     -0.10785     -0.15136     -0.08726     -0.11242     -0.03911  
## replicate11  replicate12       drones  
##    -0.08568      0.31153      0.01518  
## 
## Degrees of Freedom: 39 Total (i.e. Null);  25 Residual
## Null Deviance:       125.6 
## Residual Deviance: 39.94     AIC: 563.8
summary(de2)
## 
## Call:
## glm.nb(formula = sqr ~ treatment + whole.mean + replicate + drones, 
##     data = drone.ce.na, init.theta = 49.93446301, link = log)
## 
## Deviance Residuals: 
##      Min        1Q    Median        3Q       Max  
## -2.26612  -0.51200  -0.03185   0.68127   2.65984  
## 
## Coefficients:
##              Estimate Std. Error z value Pr(>|z|)    
## (Intercept)  7.537977   0.136348  55.285  < 2e-16 ***
## treatment2  -0.063604   0.077606  -0.820  0.41246    
## treatment3   0.071336   0.079603   0.896  0.37018    
## treatment4  -0.226910   0.079343  -2.860  0.00424 ** 
## treatment5  -0.072957   0.076848  -0.949  0.34244    
## whole.mean  -0.868574   0.273349  -3.178  0.00149 ** 
## replicate2   0.078295   0.099402   0.788  0.43089    
## replicate3  -0.107847   0.097800  -1.103  0.27015    
## replicate4  -0.151364   0.101425  -1.492  0.13560    
## replicate5  -0.087258   0.112626  -0.775  0.43848    
## replicate7  -0.112418   0.094542  -1.189  0.23441    
## replicate9  -0.039112   0.098226  -0.398  0.69049    
## replicate11 -0.085681   0.096901  -0.884  0.37658    
## replicate12  0.311534   0.110046   2.831  0.00464 ** 
## drones       0.015183   0.006743   2.252  0.02435 *  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for Negative Binomial(49.9345) family taken to be 1)
## 
##     Null deviance: 125.622  on 39  degrees of freedom
## Residual deviance:  39.938  on 25  degrees of freedom
## AIC: 563.84
## 
## Number of Fisher Scoring iterations: 1
## 
## 
##               Theta:  49.9 
##           Std. Err.:  11.5 
## 
##  2 x log-likelihood:  -531.841
egm <- emmeans(de2, pairwise ~ treatment, type = "response")
eg <- setDT(as.data.frame(egm$emmeans))
eg
##    treatment response       SE  df asymp.LCL asymp.UCL
## 1:         1 1382.809 78.16087 Inf 1237.7975  1544.810
## 2:         2 1297.596 67.45006 Inf 1171.9074  1436.764
## 3:         3 1485.057 79.43264 Inf 1337.2541  1649.195
## 4:         4 1102.088 61.32555 Inf  988.2149  1229.084
## 5:         5 1285.516 68.89925 Inf 1157.3268  1427.904
cg <- setDT(as.data.frame(egm$contrasts))
cg
##                    contrast     ratio         SE  df null    z.ratio
##  1: treatment1 / treatment2 1.0656703 0.08270227 Inf    1  0.8195770
##  2: treatment1 / treatment3 0.9311493 0.07412272 Inf    1 -0.8961379
##  3: treatment1 / treatment4 1.2547173 0.09955321 Inf    1  2.8598600
##  4: treatment1 / treatment5 1.0756842 0.08266459 Inf    1  0.9493617
##  5: treatment2 / treatment3 0.8737686 0.06386258 Inf    1 -1.8462462
##  6: treatment2 / treatment4 1.1773973 0.09039076 Inf    1  2.1271684
##  7: treatment2 / treatment5 1.0093968 0.07645755 Inf    1  0.1234779
##  8: treatment3 / treatment4 1.3474932 0.10990443 Inf    1  3.6566715
##  9: treatment3 / treatment5 1.1552221 0.09131884 Inf    1  1.8253627
## 10: treatment4 / treatment5 0.8573120 0.06591653 Inf    1 -2.0023212
##         p.value
##  1: 0.924705664
##  2: 0.898440689
##  3: 0.034428527
##  4: 0.877458404
##  5: 0.346894499
##  6: 0.208432279
##  7: 0.999947706
##  8: 0.002373999
##  9: 0.358784060
## 10: 0.264759847
em_sum <- drone.ce.na %>%
  group_by(treatment) %>%
  summarise(mean = mean(emerge),
            sd = sd(emerge),
            n = length(emerge)) %>%
  mutate(se = sd/sqrt(n))
em_sum
## # A tibble: 5 × 5
##   treatment  mean    sd     n    se
##   <fct>     <dbl> <dbl> <int> <dbl>
## 1 1          36.7  6.82     7 2.58 
## 2 2          35.9  1.89     8 0.666
## 3 3          37.6  5.08     9 1.69 
## 4 4          33.8  2.55     8 0.901
## 5 5          37.1  6.29     8 2.22
em_sum$plot <- (em_sum$mean + em_sum$se)

cldemer <-  cld(object = egm,
                     adjust = "Tukey",
                     Letters = letters,
                     alpha = 0.05)
cldemer
##  treatment response   SE  df asymp.LCL asymp.UCL .group
##  4             1102 61.3 Inf       955      1271  a    
##  5             1286 68.9 Inf      1120      1475  ab   
##  2             1298 67.5 Inf      1135      1483  ab   
##  1             1383 78.2 Inf      1196      1599   b   
##  3             1485 79.4 Inf      1294      1704   b   
## 
## Results are averaged over the levels of: replicate 
## Confidence level used: 0.95 
## Conf-level adjustment: sidak method for 5 estimates 
## Intervals are back-transformed from the log scale 
## P value adjustment: tukey method for comparing a family of 5 estimates 
## Tests are performed on the log scale 
## significance level used: alpha = 0.05 
## NOTE: If two or more means share the same grouping symbol,
##       then we cannot show them to be different.
##       But we also did not show them to be the same.
ggplot(em_sum, aes(x = treatment, y = mean, fill = treatment)) +
  geom_bar(stat = "identity", color = "black") +
   scale_fill_viridis_d() + 
  geom_errorbar(aes(ymin = mean - se, ymax = mean + se), width = 0.2, position = position_dodge(0.9)) +
  labs(x = "Treatment", y = "Days", title = "Average Time Until First Drone Emergence by Treatment") +
  theme_minimal()+ coord_cartesian(ylim = c(30,41)) +
  annotate(geom = "text",
           label = "P < 0.05",
           x = 1, y = 41) + 
  annotate(geom =  "text",
           label = c("b", "ab", "b", "a", "ab"),
           x = c(1, 2, 3, 4, 5),
           y = c(em_sum$plot + 0.4)) +
  theme(legend.position = "none")

ggplot(drone.ce.na, aes(x = whole.mean, y = emerge, color = treatment)) +
  geom_point(size = 3) +
  labs(x = "Average Pollen Consumed(g)", y = "Days", title = "Days Until First Drone Emergence by Average Pollen Consumed") +
  theme_minimal() +
  scale_color_viridis_d() +
  geom_smooth(method = "lm", color = "pink", size = 1)

Drone Radial Cell

shapiro.test(drone.h$radial)
## 
##  Shapiro-Wilk normality test
## 
## data:  drone.h$radial
## W = 0.98636, p-value = 0.0006497
n <- is.na(drone.h$radial)
unique(n)
## [1]  TRUE FALSE
drone.rad <- na.omit(drone.h)

ggplot(drone.rad, aes(x=radial, fill = treatment)) +
  geom_histogram(position = "identity", binwidth = 0.05 ,col=I("black")) +
  scale_fill_manual(values = c("gray90", "gray70", "gray50" , "gray30","gray10"),
                    name = "Pristine Level",
                    labels = c("Treatment 1 (control)", "Treatment 2", 
                               "Treatment 3", "Treatment 4", "Treatment 5")) +
  ggtitle("Drone Radial Cell Length(mm)") +
  labs(y = "Count", x = "Length")

shapiro.test(drone.rad$radial)
## 
##  Shapiro-Wilk normality test
## 
## data:  drone.rad$radial
## W = 0.98323, p-value = 0.0002138
drone.rad$sqr <- (drone.rad$radial)^2

shapiro.test(drone.rad$sqr)
## 
##  Shapiro-Wilk normality test
## 
## data:  drone.rad$sqr
## W = 0.99177, p-value = 0.03349
ggplot(drone.rad, aes(x=sqr, fill = treatment)) +
  geom_histogram(position = "identity", binwidth = 0.5 ,col=I("black")) +
  scale_fill_manual(values = c("gray90", "gray70", "gray50" , "gray30","gray10"),
                    name = "Pristine Level",
                    labels = c("Treatment 1 (control)", "Treatment 2", 
                               "Treatment 3", "Treatment 4", "Treatment 5")) +
  ggtitle("Drone Radial Cell Length(mm)") +
  labs(y = "Count", x = "Length")

dr1 <- lmer(radial ~ treatment + whole.mean + alive + duration + replicate + (1|colony), data = drone.rad)
summary(dr1)
## Linear mixed model fit by REML ['lmerMod']
## Formula: radial ~ treatment + whole.mean + alive + duration + replicate +  
##     (1 | colony)
##    Data: drone.rad
## 
## REML criterion at convergence: -112
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -3.9170 -0.4960  0.0595  0.6197  3.6570 
## 
## Random effects:
##  Groups   Name        Variance Std.Dev.
##  colony   (Intercept) 0.00373  0.06108 
##  Residual             0.03517  0.18753 
## Number of obs: 380, groups:  colony, 39
## 
## Fixed effects:
##              Estimate Std. Error t value
## (Intercept)  2.177888   0.175065  12.440
## treatment2  -0.018231   0.050443  -0.361
## treatment3  -0.109883   0.049445  -2.222
## treatment4   0.026604   0.048903   0.544
## treatment5  -0.004263   0.048568  -0.088
## whole.mean   0.020339   0.161441   0.126
## aliveTRUE    0.357346   0.147065   2.430
## duration    -0.002068   0.002524  -0.819
## replicate2   0.085313   0.057761   1.477
## replicate3   0.037381   0.061071   0.612
## replicate4   0.058093   0.059040   0.984
## replicate5   0.035371   0.067440   0.524
## replicate7   0.022353   0.062131   0.360
## replicate9  -0.053065   0.061205  -0.867
## replicate11 -0.055463   0.069602  -0.797
## replicate12  0.131757   0.101195   1.302
dr2 <- lmer(radial ~ treatment + whole.mean + alive + duration + (1|colony), data = drone.rad)
anova(dr1, dr2, test = "Chisq")
## Data: drone.rad
## Models:
## dr2: radial ~ treatment + whole.mean + alive + duration + (1 | colony)
## dr1: radial ~ treatment + whole.mean + alive + duration + replicate + (1 | colony)
##     npar     AIC      BIC logLik deviance  Chisq Df Pr(>Chisq)  
## dr2   10 -153.64 -114.234 86.818  -173.64                       
## dr1   18 -152.84  -81.915 94.419  -188.84 15.202  8    0.05533 .
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
dr3 <- lmer(radial ~ treatment*whole.mean + alive + duration + replicate + (1|colony), data = drone.rad)
anova(dr1, dr3)
## Data: drone.rad
## Models:
## dr1: radial ~ treatment + whole.mean + alive + duration + replicate + (1 | colony)
## dr3: radial ~ treatment * whole.mean + alive + duration + replicate + (1 | colony)
##     npar     AIC     BIC logLik deviance  Chisq Df Pr(>Chisq)
## dr1   18 -152.84 -81.915 94.419  -188.84                     
## dr3   22 -150.28 -63.600 97.142  -194.28 5.4461  4     0.2445
dr1 <- lmer(sqr ~ treatment + whole.mean + alive + duration + replicate + (1|colony), data = drone.rad)
dr2 <- lmer(sqr ~ treatment + whole.mean + alive + duration + (1|colony), data = drone.rad)
anova(dr1, dr2, test = "Chisq")
## Data: drone.rad
## Models:
## dr2: sqr ~ treatment + whole.mean + alive + duration + (1 | colony)
## dr1: sqr ~ treatment + whole.mean + alive + duration + replicate + (1 | colony)
##     npar    AIC    BIC  logLik deviance  Chisq Df Pr(>Chisq)  
## dr2   10 1050.2 1089.6 -515.09   1030.2                       
## dr1   18 1050.2 1121.2 -507.13   1014.2 15.923  8    0.04349 *
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
dr3 <- lmer(sqr~ treatment*whole.mean + alive + duration + replicate + (1|colony), data = drone.rad)
anova(dr1, dr3)
## Data: drone.rad
## Models:
## dr1: sqr ~ treatment + whole.mean + alive + duration + replicate + (1 | colony)
## dr3: sqr ~ treatment * whole.mean + alive + duration + replicate + (1 | colony)
##     npar    AIC    BIC  logLik deviance  Chisq Df Pr(>Chisq)
## dr1   18 1050.2 1121.2 -507.13   1014.2                     
## dr3   22 1052.4 1139.1 -504.21   1008.4 5.8287  4     0.2123
drop1(dr1, test = "Chisq")
## Single term deletions
## 
## Model:
## sqr ~ treatment + whole.mean + alive + duration + replicate + 
##     (1 | colony)
##            npar    AIC     LRT  Pr(Chi)   
## <none>          1050.2                    
## treatment     4 1055.2 12.9856 0.011347 * 
## whole.mean    1 1048.3  0.0160 0.899393   
## alive         1 1055.1  6.8606 0.008812 **
## duration      1 1049.1  0.8879 0.346052   
## replicate     8 1050.2 15.9234 0.043489 * 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
dr4 <- update(dr1, .~. -whole.mean)
drop1(dr4, test = "Chisq")
## Single term deletions
## 
## Model:
## sqr ~ treatment + alive + duration + replicate + (1 | colony)
##           npar    AIC     LRT  Pr(Chi)   
## <none>         1048.3                    
## treatment    4 1053.3 13.0743 0.010918 * 
## alive        1 1053.1  6.8558 0.008835 **
## duration     1 1047.5  1.2548 0.262637   
## replicate    8 1048.2 15.9149 0.043614 * 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
dr5 <- update(dr4, .~. -duration)
drop1(dr5, test = "Chisq")
## Single term deletions
## 
## Model:
## sqr ~ treatment + alive + replicate + (1 | colony)
##           npar    AIC     LRT  Pr(Chi)   
## <none>         1047.5                    
## treatment    4 1053.1 13.5734 0.008789 **
## alive        1 1052.0  6.4439 0.011133 * 
## replicate    8 1047.0 15.4568 0.050849 . 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
dr6 <- update(dr5, .~. -replicate)
drop1(dr6, test = "Chisq")
## Single term deletions
## 
## Model:
## sqr ~ treatment + alive + (1 | colony)
##           npar    AIC    LRT Pr(Chi)  
## <none>         1047.0                 
## treatment    4 1047.1 8.1371 0.08668 .
## alive        1 1049.1 4.1445 0.04177 *
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
anova(dr5, dr6)
## Data: drone.rad
## Models:
## dr6: sqr ~ treatment + alive + (1 | colony)
## dr5: sqr ~ treatment + alive + replicate + (1 | colony)
##     npar    AIC    BIC  logLik deviance  Chisq Df Pr(>Chisq)  
## dr6    8 1047.0 1078.5 -515.49   1031.0                       
## dr5   16 1047.5 1110.6 -507.76   1015.5 15.457  8    0.05085 .
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
plot(dr5)

qqnorm(resid(dr5));qqline(resid(dr5))

plot(dr6)

qqnorm(resid(dr6));qqline(resid(dr6))    #keep dr6

dr6
## Linear mixed model fit by REML ['lmerMod']
## Formula: sqr ~ treatment + alive + (1 | colony)
##    Data: drone.rad
## REML criterion at convergence: 1039.559
## Random effects:
##  Groups   Name        Std.Dev.
##  colony   (Intercept) 0.3076  
##  Residual             0.9143  
## Number of obs: 380, groups:  colony, 39
## Fixed Effects:
## (Intercept)   treatment2   treatment3   treatment4   treatment5    aliveTRUE  
##     4.93404     -0.22463     -0.53431      0.06062     -0.16712      1.34903
Anova(dr6)
## Analysis of Deviance Table (Type II Wald chisquare tests)
## 
## Response: sqr
##            Chisq Df Pr(>Chisq)  
## treatment 7.7819  4    0.09990 .
## alive     3.9012  1    0.04825 *
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Anova(dr5)
## Analysis of Deviance Table (Type II Wald chisquare tests)
## 
## Response: sqr
##             Chisq Df Pr(>Chisq)  
## treatment  9.9768  4    0.04082 *
## alive      5.2496  1    0.02195 *
## replicate 11.8906  8    0.15615  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
dra <- setDT(as.data.frame(Anova(dr6)))
dra
##       Chisq Df Pr(>Chisq)
## 1: 7.781905  4 0.09990201
## 2: 3.901150  1 0.04825306
dre <- emmeans(dr6, pairwise ~ treatment, type = "response")
edr <- setDT(as.data.frame(dre$emmeans))
edr
##    treatment   emmean        SE       df lower.CL upper.CL
## 1:         1 5.608551 0.3790441 219.7407 4.861524 6.355578
## 2:         2 5.383923 0.3651304 241.3460 4.664673 6.103172
## 3:         3 5.074238 0.3641745 278.0490 4.357349 5.791127
## 4:         4 5.669166 0.3760726 220.2848 4.928005 6.410327
## 5:         5 5.441428 0.3758816 223.1548 4.700697 6.182160
cdr <- setDT(as.data.frame(dre$contrasts))
cdr
##                    contrast    estimate        SE       df    t.ratio   p.value
##  1: treatment1 - treatment2  0.22462827 0.2254278 29.89555  0.9964535 0.8548414
##  2: treatment1 - treatment3  0.53431316 0.2392040 32.04111  2.2337130 0.1934558
##  3: treatment1 - treatment4 -0.06061503 0.2251593 26.42854 -0.2692096 0.9987686
##  4: treatment1 - treatment5  0.16712285 0.2248400 26.95165  0.7432966 0.9442026
##  5: treatment2 - treatment3  0.30968489 0.2335989 34.37651  1.3257122 0.6774385
##  6: treatment2 - treatment4 -0.28524329 0.2203947 28.12215 -1.2942382 0.6967801
##  7: treatment2 - treatment5 -0.05750541 0.2200686 28.71958 -0.2613068 0.9989103
##  8: treatment3 - treatment4 -0.59492818 0.2344669 30.38141 -2.5373651 0.1086566
##  9: treatment3 - treatment5 -0.36719031 0.2341604 30.97321 -1.5681145 0.5280746
## 10: treatment4 - treatment5  0.22773788 0.2197936 25.29950  1.0361444 0.8362544
sum <- drone.rad %>%
  group_by(treatment) %>%
  summarise(mean = mean(radial),
            sd = sd(radial),
            n = length(radial)) %>%
  mutate(se = sd/sqrt(n))

edr$plot <- (edr$emmean + edr$SE) + 0.5

edr
##    treatment   emmean        SE       df lower.CL upper.CL     plot
## 1:         1 5.608551 0.3790441 219.7407 4.861524 6.355578 6.487595
## 2:         2 5.383923 0.3651304 241.3460 4.664673 6.103172 6.249053
## 3:         3 5.074238 0.3641745 278.0490 4.357349 5.791127 5.938412
## 4:         4 5.669166 0.3760726 220.2848 4.928005 6.410327 6.545239
## 5:         5 5.441428 0.3758816 223.1548 4.700697 6.182160 6.317310
rad.cld <- cld(object =dre,
                     adjust = "Tukey",
                     Letters = letters,
                     alpha = 0.05)

rad.cld
##  treatment emmean    SE  df lower.CL upper.CL .group
##  3           5.07 0.364 278     4.13     6.02  a    
##  2           5.38 0.365 241     4.44     6.33  a    
##  5           5.44 0.376 223     4.47     6.42  a    
##  1           5.61 0.379 220     4.63     6.59  a    
##  4           5.67 0.376 220     4.69     6.64  a    
## 
## Results are averaged over the levels of: alive 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## Conf-level adjustment: sidak method for 5 estimates 
## P value adjustment: tukey method for comparing a family of 5 estimates 
## significance level used: alpha = 0.05 
## NOTE: If two or more means share the same grouping symbol,
##       then we cannot show them to be different.
##       But we also did not show them to be the same.
ggplot(edr, aes(x = treatment, y = emmean, fill = treatment)) +
  geom_bar(stat = "identity", color = "black") +
  scale_fill_viridis_d() +
  geom_errorbar(aes(ymin = emmean - SE, ymax = emmean + SE), width = 0.2, position = position_dodge(0.9)) +
  labs(x = "Treatment", y = "Squared Radial Cell Length(mm)", title = "Average Drone Radial Cell Length by Treatment (squared)") +
   theme_classic(base_size = 25) +
    coord_cartesian(ylim=c(0,7)) +
  annotate(geom = "text", 
          x = 3, y = 7,
          label = "P > 0.05",
          size = 8) +
  annotate(geom = "text",
           x = c(1, 2, 3, 4, 5),
           y = c(edr$plot),
           label = c("a", "a", "a", "a", "a"),
           size = 8) +
  theme(legend.position =  "none")

Drone Dry Weight

shapiro.test(drone.rad$dry_weight)
## 
##  Shapiro-Wilk normality test
## 
## data:  drone.rad$dry_weight
## W = 0.99386, p-value = 0.1279
ggplot(drone.rad, aes(x=dry_weight, fill = treatment)) +
  geom_histogram(position = "identity", binwidth = 0.001 ,col=I("black")) +
  scale_fill_manual(values = c("gray90", "gray70", "gray50" , "gray30","gray10"),
                    name = "Pristine Level",
                    labels = c("Treatment 1 (control)", "Treatment 2", 
                               "Treatment 3", "Treatment 4", "Treatment 5")) +
  ggtitle("Drone Radial Cell Length(mm)") +
  labs(y = "Count", x = "Length")

dd1 <- lmer(dry_weight ~ treatment + whole.mean + alive + duration + replicate + (1|colony), data = drone.rad)
dd8 <- lmer(dry_weight ~ treatment + whole.mean + alive + duration + (1|colony:replicate), data = drone.rad)
dd9 <- lmer(dry_weight ~ treatment + whole.mean + alive + duration + qro + (1|colony:replicate), data = drone.rad)
plot(dd8)

anova(dd1, dd8)
## Data: drone.rad
## Models:
## dd8: dry_weight ~ treatment + whole.mean + alive + duration + (1 | colony:replicate)
## dd1: dry_weight ~ treatment + whole.mean + alive + duration + replicate + (1 | colony)
##     npar     AIC     BIC logLik deviance Chisq Df Pr(>Chisq)   
## dd8   10 -2582.7 -2543.3 1301.3  -2602.7                       
## dd1   18 -2590.2 -2519.3 1313.1  -2626.2 23.54  8   0.002735 **
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
anova(dd8, dd9, dd1)
## Data: drone.rad
## Models:
## dd8: dry_weight ~ treatment + whole.mean + alive + duration + (1 | colony:replicate)
## dd9: dry_weight ~ treatment + whole.mean + alive + duration + qro + (1 | colony:replicate)
## dd1: dry_weight ~ treatment + whole.mean + alive + duration + replicate + (1 | colony)
##     npar     AIC     BIC logLik deviance   Chisq Df Pr(>Chisq)  
## dd8   10 -2582.7 -2543.3 1301.3  -2602.7                        
## dd9   13 -2586.1 -2534.9 1306.1  -2612.1  9.4593  3    0.02377 *
## dd1   18 -2590.2 -2519.3 1313.1  -2626.2 14.0811  5    0.01510 *
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
anova(dd1, dd9)
## Data: drone.rad
## Models:
## dd9: dry_weight ~ treatment + whole.mean + alive + duration + qro + (1 | colony:replicate)
## dd1: dry_weight ~ treatment + whole.mean + alive + duration + replicate + (1 | colony)
##     npar     AIC     BIC logLik deviance  Chisq Df Pr(>Chisq)  
## dd9   13 -2586.1 -2534.9 1306.1  -2612.1                       
## dd1   18 -2590.2 -2519.3 1313.1  -2626.2 14.081  5     0.0151 *
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
qqnorm(resid(dd8));qqline(resid(dd8))

drop1(dd8, test = "Chisq")
## Single term deletions
## 
## Model:
## dry_weight ~ treatment + whole.mean + alive + duration + (1 | 
##     colony:replicate)
##            npar     AIC     LRT  Pr(Chi)   
## <none>          -2582.7                    
## treatment     4 -2575.8 14.8725 0.004973 **
## whole.mean    1 -2582.8  1.8645 0.172111   
## alive         1 -2579.7  5.0084 0.025224 * 
## duration      1 -2583.4  1.2458 0.264350   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
dd81 <- update(dd8, .~. -duration)
drop1(dd81, test = "Chisq")
## Single term deletions
## 
## Model:
## dry_weight ~ treatment + whole.mean + alive + (1 | colony:replicate)
##            npar     AIC     LRT  Pr(Chi)   
## <none>          -2583.4                    
## treatment     4 -2575.6 15.8684 0.003201 **
## whole.mean    1 -2584.2  1.2003 0.273253   
## alive         1 -2580.5  4.9128 0.026659 * 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
dd82 <- update(dd81, .~. -whole.mean)
Anova(dd82)
## Analysis of Deviance Table (Type II Wald chisquare tests)
## 
## Response: dry_weight
##             Chisq Df Pr(>Chisq)   
## treatment 16.1421  4   0.002834 **
## alive      5.4468  1   0.019604 * 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
qqnorm(resid(dd82));qqline(resid(dd81))

plot(dd82)

dd2 <- lmer(dry_weight ~ treatment*whole.mean + alive + duration + replicate + (1|colony), data = drone.rad)
dd3 <- lmer(dry_weight ~ treatment + whole.mean + alive + duration + (1|colony), data = drone.rad)
dd6 <- lmer(dry_weight ~ treatment + whole.mean + alive + duration + qro + (1|colony), data = drone.rad)
anova(dd1, dd6)
## Data: drone.rad
## Models:
## dd6: dry_weight ~ treatment + whole.mean + alive + duration + qro + (1 | colony)
## dd1: dry_weight ~ treatment + whole.mean + alive + duration + replicate + (1 | colony)
##     npar     AIC     BIC logLik deviance  Chisq Df Pr(>Chisq)  
## dd6   13 -2586.1 -2534.9 1306.1  -2612.1                       
## dd1   18 -2590.2 -2519.3 1313.1  -2626.2 14.081  5     0.0151 *
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
anova(dd1, dd2)
## Data: drone.rad
## Models:
## dd1: dry_weight ~ treatment + whole.mean + alive + duration + replicate + (1 | colony)
## dd2: dry_weight ~ treatment * whole.mean + alive + duration + replicate + (1 | colony)
##     npar     AIC     BIC logLik deviance  Chisq Df Pr(>Chisq)
## dd1   18 -2590.2 -2519.3 1313.1  -2626.2                     
## dd2   22 -2585.6 -2498.9 1314.8  -2629.6 3.3862  4     0.4954
anova(dd1, dd3)
## Data: drone.rad
## Models:
## dd3: dry_weight ~ treatment + whole.mean + alive + duration + (1 | colony)
## dd1: dry_weight ~ treatment + whole.mean + alive + duration + replicate + (1 | colony)
##     npar     AIC     BIC logLik deviance Chisq Df Pr(>Chisq)   
## dd3   10 -2582.7 -2543.3 1301.3  -2602.7                       
## dd1   18 -2590.2 -2519.3 1313.1  -2626.2 23.54  8   0.002735 **
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
drop1(dd3, test = "Chisq")
## Single term deletions
## 
## Model:
## dry_weight ~ treatment + whole.mean + alive + duration + (1 | 
##     colony)
##            npar     AIC     LRT  Pr(Chi)   
## <none>          -2582.7                    
## treatment     4 -2575.8 14.8725 0.004973 **
## whole.mean    1 -2582.8  1.8645 0.172111   
## alive         1 -2579.7  5.0084 0.025224 * 
## duration      1 -2583.4  1.2458 0.264350   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
dd4 <- update(dd3, .~. -duration)
drop1(dd4, test = "Chisq")
## Single term deletions
## 
## Model:
## dry_weight ~ treatment + whole.mean + alive + (1 | colony)
##            npar     AIC     LRT  Pr(Chi)   
## <none>          -2583.4                    
## treatment     4 -2575.6 15.8684 0.003201 **
## whole.mean    1 -2584.2  1.2003 0.273253   
## alive         1 -2580.5  4.9128 0.026659 * 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
dd5 <- update(dd4, .~. -whole.mean)
anova(dd4, dd5)
## Data: drone.rad
## Models:
## dd5: dry_weight ~ treatment + alive + (1 | colony)
## dd4: dry_weight ~ treatment + whole.mean + alive + (1 | colony)
##     npar     AIC     BIC logLik deviance  Chisq Df Pr(>Chisq)
## dd5    8 -2584.2 -2552.7 1300.1  -2600.2                     
## dd4    9 -2583.4 -2548.0 1300.7  -2601.4 1.2003  1     0.2733
drop1(dd6, test = "Chisq")
## Single term deletions
## 
## Model:
## dry_weight ~ treatment + whole.mean + alive + duration + qro + 
##     (1 | colony)
##            npar     AIC     LRT   Pr(Chi)    
## <none>          -2586.1                      
## treatment     4 -2574.8 19.3478 0.0006714 ***
## whole.mean    1 -2588.1  0.0157 0.9002031    
## alive         1 -2583.1  4.9910 0.0254790 *  
## duration      1 -2585.9  2.2603 0.1327298    
## qro           3 -2582.7  9.4593 0.0237686 *  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
dd7 <- update(dd6, .~. -duration)
drop1(dd7, test = "Chisq")
## Single term deletions
## 
## Model:
## dry_weight ~ treatment + whole.mean + alive + qro + (1 | colony)
##            npar     AIC     LRT   Pr(Chi)    
## <none>          -2585.9                      
## treatment     4 -2573.9 19.9478 0.0005114 ***
## whole.mean    1 -2587.8  0.0694 0.7922432    
## alive         1 -2583.0  4.8350 0.0278881 *  
## qro           3 -2583.4  8.4448 0.0376598 *  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
dd8 <- update(dd7, .~. -whole.mean)
anova(dd7, dd8)
## Data: drone.rad
## Models:
## dd8: dry_weight ~ treatment + alive + qro + (1 | colony)
## dd7: dry_weight ~ treatment + whole.mean + alive + qro + (1 | colony)
##     npar     AIC     BIC logLik deviance  Chisq Df Pr(>Chisq)
## dd8   11 -2587.8 -2544.5 1304.9  -2609.8                     
## dd7   12 -2585.9 -2538.6 1304.9  -2609.9 0.0694  1     0.7922
anova(dd5, dd8)  #with only one difference in variables (qro) dd5 is significantly better so we will stick with leaving out qro 
## Data: drone.rad
## Models:
## dd5: dry_weight ~ treatment + alive + (1 | colony)
## dd8: dry_weight ~ treatment + alive + qro + (1 | colony)
##     npar     AIC     BIC logLik deviance  Chisq Df Pr(>Chisq)  
## dd5    8 -2584.2 -2552.7 1300.1  -2600.2                       
## dd8   11 -2587.8 -2544.5 1304.9  -2609.8 9.5758  3    0.02254 *
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
qqnorm(resid(dd5));qqline(resid(dd5))

qqnorm(resid(dd8));qqline(resid(dd8))

dd5
## Linear mixed model fit by REML ['lmerMod']
## Formula: dry_weight ~ treatment + alive + (1 | colony)
##    Data: drone.rad
## REML criterion at convergence: -2533.881
## Random effects:
##  Groups   Name        Std.Dev.
##  colony   (Intercept) 0.002351
##  Residual             0.007728
## Number of obs: 380, groups:  colony, 39
## Fixed Effects:
## (Intercept)   treatment2   treatment3   treatment4   treatment5    aliveTRUE  
##    0.030342    -0.004220    -0.006928    -0.001690    -0.001656     0.013378
Anova(dd5)
## Analysis of Deviance Table (Type II Wald chisquare tests)
## 
## Response: dry_weight
##             Chisq Df Pr(>Chisq)   
## treatment 16.1421  4   0.002834 **
## alive      5.4468  1   0.019604 * 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
dda <- setDT(as.data.frame(Anova(dd5)))
dda
##        Chisq Df  Pr(>Chisq)
## 1: 16.142146  4 0.002834237
## 2:  5.446793  1 0.019604287
dem <- emmeans(dd5, pairwise ~ treatment, type = "response")
de <- setDT(as.data.frame(dem$emmeans))
ce <- setDT(as.data.frame(dem$contrasts))
de
##    treatment     emmean          SE       df   lower.CL   upper.CL
## 1:         1 0.03703052 0.003155463 232.4260 0.03081356 0.04324749
## 2:         2 0.03281009 0.003043623 255.5910 0.02681632 0.03880386
## 3:         3 0.03010298 0.003042070 289.1300 0.02411557 0.03609039
## 4:         4 0.03534020 0.003130613 232.5106 0.02917221 0.04150819
## 5:         5 0.03537462 0.003129857 236.6559 0.02920868 0.04154056
ce
##                    contrast      estimate          SE       df     t.ratio
##  1: treatment1 - treatment2  4.220431e-03 0.001811605 29.71440  2.32966467
##  2: treatment1 - treatment3  6.927545e-03 0.001925518 31.60841  3.59775671
##  3: treatment1 - treatment4  1.690321e-03 0.001802925 25.83646  0.93754381
##  4: treatment1 - treatment5  1.655903e-03 0.001801612 26.64604  0.91912271
##  5: treatment2 - treatment3  2.707114e-03 0.001883886 34.13507  1.43698394
##  6: treatment2 - treatment4 -2.530110e-03 0.001767964 27.68154 -1.43108633
##  7: treatment2 - treatment5 -2.564528e-03 0.001766626 28.61025 -1.45165355
##  8: treatment3 - treatment4 -5.237224e-03 0.001884518 29.71425 -2.77907922
##  9: treatment3 - treatment5 -5.271642e-03 0.001883262 30.61945 -2.79920871
## 10: treatment4 - treatment5 -3.441855e-05 0.001757724 24.76012 -0.01958132
##        p.value
##  1: 0.16382512
##  2: 0.00888931
##  3: 0.87958072
##  4: 0.88699038
##  5: 0.60883100
##  6: 0.61363373
##  7: 0.60072396
##  8: 0.06568513
##  9: 0.06219965
## 10: 0.99999996
de$plot <- de$emmean + de$SE


dd.cld <- cld(object =dem,
                     adjust = "Tukey",
                     Letters = letters,
                     alpha = 0.05)

dd.cld
##  treatment emmean      SE  df lower.CL upper.CL .group
##  3         0.0301 0.00304 289   0.0222   0.0380  a    
##  2         0.0328 0.00304 256   0.0249   0.0407  ab   
##  4         0.0353 0.00313 233   0.0272   0.0434  ab   
##  5         0.0354 0.00313 237   0.0273   0.0435  ab   
##  1         0.0370 0.00316 232   0.0289   0.0452   b   
## 
## Results are averaged over the levels of: alive 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## Conf-level adjustment: sidak method for 5 estimates 
## P value adjustment: tukey method for comparing a family of 5 estimates 
## significance level used: alpha = 0.05 
## NOTE: If two or more means share the same grouping symbol,
##       then we cannot show them to be different.
##       But we also did not show them to be the same.
de
##    treatment     emmean          SE       df   lower.CL   upper.CL       plot
## 1:         1 0.03703052 0.003155463 232.4260 0.03081356 0.04324749 0.04018599
## 2:         2 0.03281009 0.003043623 255.5910 0.02681632 0.03880386 0.03585371
## 3:         3 0.03010298 0.003042070 289.1300 0.02411557 0.03609039 0.03314505
## 4:         4 0.03534020 0.003130613 232.5106 0.02917221 0.04150819 0.03847081
## 5:         5 0.03537462 0.003129857 236.6559 0.02920868 0.04154056 0.03850448
ggplot(de, aes(x = treatment, y = emmean, fill = treatment)) +
  geom_bar(stat = "identity", color = "black") +
  scale_fill_viridis_d() +
  geom_errorbar(aes(ymin = emmean - SE, ymax = emmean + SE), width = 0.2, position = position_dodge(0.9)) +
  labs(x = "Treatment", y = "Dry Weight(g)", title = "Average Drone Dry Weight by Treatment") +
   theme_classic(base_size = 30) +
    coord_cartesian(ylim=c(0.02, 0.042)) +
  annotate(geom = "text", 
          x = 3, y = 0.0425 ,
          label = "P < 0.01",
          size = 8) +
  annotate(geom = "text",
           x = c(1, 2, 3, 4, 5),
           y = c(de$plot+0.001),
           label = c("b", "ab", "a", "ab", "ab"),
           size = 8) +
  theme(legend.position =  "none")

Drone Relative Fat

shapiro.test(drone.rad$relative_fat)
## 
##  Shapiro-Wilk normality test
## 
## data:  drone.rad$relative_fat
## W = 0.80183, p-value < 2.2e-16
drone.rad$logrf <- log(drone.rad$relative_fat)

shapiro.test(drone.rad$logrf)
## 
##  Shapiro-Wilk normality test
## 
## data:  drone.rad$logrf
## W = 0.93346, p-value = 5.464e-12
ggplot(drone.rad, aes(x=relative_fat, fill = treatment)) +
  geom_histogram(position = "identity", binwidth = 0.0001 ,col=I("black")) +
  scale_fill_manual(values = c("gray90", "gray70", "gray50" , "gray30","gray10"),
                    name = "Pristine Level",
                    labels = c("Treatment 1 (control)", "Treatment 2", 
                               "Treatment 3", "Treatment 4", "Treatment 5")) +
  ggtitle("Drone Relative Fat") +
  labs(y = "Count", x = "Relative Fat(g)")

ggplot(drone.rad, aes(x=logrf, fill = treatment)) +
  geom_histogram(position = "identity", binwidth = 0.1 ,col=I("black")) +
  scale_fill_manual(values = c("gray90", "gray70", "gray50" , "gray30","gray10"),
                    name = "Pristine Level",
                    labels = c("Treatment 1 (control)", "Treatment 2", 
                               "Treatment 3", "Treatment 4", "Treatment 5")) +
  ggtitle("(Log) Drone Relative Fat") +
  labs(y = "Count", x = "log(Realtive Fat)(g)")

rf1 <- lmer(logrf ~ treatment + whole.mean + alive + duration + replicate + (1|colony), data = drone.rad)
rf4 <- lmer(relative_fat ~ treatment + whole.mean + alive + duration + replicate + (1|colony), data = drone.rad)
rf2 <- lmer(logrf ~ treatment*whole.mean + alive + duration + replicate +  (1|colony), data = drone.rad)

anova(rf1,rf2)
## Data: drone.rad
## Models:
## rf1: logrf ~ treatment + whole.mean + alive + duration + replicate + (1 | colony)
## rf2: logrf ~ treatment * whole.mean + alive + duration + replicate + (1 | colony)
##     npar    AIC    BIC  logLik deviance Chisq Df Pr(>Chisq)
## rf1   18 444.64 515.56 -204.32   408.64                    
## rf2   22 445.62 532.30 -200.81   401.62 7.017  4      0.135
Anova(rf4)
## Analysis of Deviance Table (Type II Wald chisquare tests)
## 
## Response: relative_fat
##              Chisq Df Pr(>Chisq)    
## treatment  23.6413  4  9.424e-05 ***
## whole.mean  2.7684  1    0.09615 .  
## alive       1.7114  1    0.19081    
## duration    3.3316  1    0.06796 .  
## replicate  10.8442  8    0.21068    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
drop1(rf1, test = "Chisq")
## Single term deletions
## 
## Model:
## logrf ~ treatment + whole.mean + alive + duration + replicate + 
##     (1 | colony)
##            npar    AIC     LRT   Pr(Chi)    
## <none>          444.64                      
## treatment     4 466.28 29.6448 5.781e-06 ***
## whole.mean    1 447.09  4.4530  0.034840 *  
## alive         1 449.73  7.0904  0.007750 ** 
## duration      1 451.17  8.5298  0.003494 ** 
## replicate     8 446.05 17.4195  0.026025 *  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
drop1(rf4, test = "Chisq")
## Single term deletions
## 
## Model:
## relative_fat ~ treatment + whole.mean + alive + duration + replicate + 
##     (1 | colony)
##            npar     AIC     LRT   Pr(Chi)    
## <none>          -4298.3                      
## treatment     4 -4280.7 25.5902 3.827e-05 ***
## whole.mean    1 -4296.8  3.4138   0.06465 .  
## alive         1 -4298.5  1.7673   0.18371    
## duration      1 -4295.8  4.4158   0.03561 *  
## replicate     8 -4300.1 14.1249   0.07857 .  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
rf11 <- update(rf1, .~. -replicate)

Anova(rf1)
## Analysis of Deviance Table (Type II Wald chisquare tests)
## 
## Response: logrf
##              Chisq Df Pr(>Chisq)    
## treatment  30.7846  4  3.387e-06 ***
## whole.mean  3.8186  1   0.050686 .  
## alive       6.8258  1   0.008985 ** 
## duration    7.0314  1   0.008009 ** 
## replicate  14.9221  8   0.060678 .  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Anova(rf11)
## Analysis of Deviance Table (Type II Wald chisquare tests)
## 
## Response: logrf
##              Chisq Df Pr(>Chisq)    
## treatment  23.5609  4  9.781e-05 ***
## whole.mean  3.9919  1   0.045718 *  
## alive       6.1539  1   0.013112 *  
## duration    7.0345  1   0.007995 ** 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
anova(rf11, rf1, test = "Chisq")
## Data: drone.rad
## Models:
## rf11: logrf ~ treatment + whole.mean + alive + duration + (1 | colony)
## rf1: logrf ~ treatment + whole.mean + alive + duration + replicate + (1 | colony)
##      npar    AIC    BIC  logLik deviance  Chisq Df Pr(>Chisq)  
## rf11   10 446.05 485.46 -213.03   426.05                       
## rf1    18 444.64 515.56 -204.32   408.64 17.419  8    0.02603 *
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
rf1
## Linear mixed model fit by REML ['lmerMod']
## Formula: logrf ~ treatment + whole.mean + alive + duration + replicate +  
##     (1 | colony)
##    Data: drone.rad
## REML criterion at convergence: 465.7012
## Random effects:
##  Groups   Name        Std.Dev.
##  colony   (Intercept) 0.05535 
##  Residual             0.42119 
## Number of obs: 380, groups:  colony, 39
## Fixed Effects:
## (Intercept)   treatment2   treatment3   treatment4   treatment5   whole.mean  
##   -7.045140    -0.042750    -0.290856    -0.097777     0.166494     0.542720  
##   aliveTRUE     duration   replicate2   replicate3   replicate4   replicate5  
##    0.828742    -0.010935     0.149181    -0.102403    -0.113340     0.049114  
##  replicate7   replicate9  replicate11  replicate12  
##   -0.075739    -0.059192     0.004751     0.304848
Anova(rf1)
## Analysis of Deviance Table (Type II Wald chisquare tests)
## 
## Response: logrf
##              Chisq Df Pr(>Chisq)    
## treatment  30.7846  4  3.387e-06 ***
## whole.mean  3.8186  1   0.050686 .  
## alive       6.8258  1   0.008985 ** 
## duration    7.0314  1   0.008009 ** 
## replicate  14.9221  8   0.060678 .  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
dda <- setDT(as.data.frame(Anova(rf1)))
dda
##        Chisq Df   Pr(>Chisq)
## 1: 30.784633  4 3.387211e-06
## 2:  3.818633  1 5.068556e-02
## 3:  6.825769  1 8.985186e-03
## 4:  7.031415  1 8.009203e-03
## 5: 14.922124  8 6.067751e-02
qqnorm(resid(rf1));qqline(resid(rf1))

qqnorm(resid(rf4));qqline(resid(rf4))

plot(rf1)

plot(rf4)

dem <- emmeans(rf1, pairwise ~ treatment, type = "response")
de <- setDT(as.data.frame(dem$emmeans))
ce <- setDT(as.data.frame(dem$contrasts))
de
##    treatment    emmean        SE       df  lower.CL  upper.CL
## 1:         1 -6.767951 0.1686007 224.2147 -7.100195 -6.435706
## 2:         2 -6.810701 0.1638271 223.8188 -7.133542 -6.487860
## 3:         3 -7.058807 0.1625854 271.0471 -7.378898 -6.738716
## 4:         4 -6.865728 0.1642999 225.4283 -7.189488 -6.541968
## 5:         5 -6.601456 0.1673482 222.0688 -6.931250 -6.271663
ce
##                    contrast    estimate         SE       df    t.ratio
##  1: treatment1 - treatment2  0.04275016 0.08669690 20.65598  0.4930990
##  2: treatment1 - treatment3  0.29085597 0.08498726 18.85338  3.4223480
##  3: treatment1 - treatment4  0.09777690 0.08252367 18.33189  1.1848347
##  4: treatment1 - treatment5 -0.16649435 0.08160746 17.20449 -2.0401855
##  5: treatment2 - treatment3  0.24810581 0.08660005 23.29604  2.8649614
##  6: treatment2 - treatment4  0.05502675 0.08385598 18.45465  0.6562054
##  7: treatment2 - treatment5 -0.20924451 0.07891604 19.22875 -2.6514826
##  8: treatment3 - treatment4 -0.19307907 0.08528781 19.21967 -2.2638531
##  9: treatment3 - treatment5 -0.45735032 0.08511939 19.34558 -5.3730452
## 10: treatment4 - treatment5 -0.26427126 0.08496850 18.22361 -3.1102263
##         p.value
##  1: 0.987140602
##  2: 0.021309903
##  3: 0.759689234
##  4: 0.289170507
##  5: 0.060210763
##  6: 0.963262164
##  7: 0.099662358
##  8: 0.199276104
##  9: 0.000283778
## 10: 0.041727139
dd.cld <- cld(object =dem,
                     adjust = "Tukey",
                     Letters = letters,
                     alpha = 0.05)

predicted_log <-predict(rf1, newdata = drone.rad)
predicted_original <- exp(predicted_log)
result_df <- data.frame(predictors = drone.rad$treatment, predicted_original)

sum <- result_df %>%
  group_by(predictors) %>%
  summarise(mean = mean(predicted_original),
            sd = sd(predicted_original),
            n=(length(predicted_original))) %>%
  mutate(se = sd/sqrt(n))

sum$plot <- (sum$mean + sum$se)

sum
## # A tibble: 5 × 6
##   predictors    mean       sd     n        se    plot
##   <fct>        <dbl>    <dbl> <int>     <dbl>   <dbl>
## 1 1          0.00179 0.000280    74 0.0000326 0.00183
## 2 2          0.00160 0.000221    75 0.0000256 0.00163
## 3 3          0.00130 0.000181    59 0.0000236 0.00132
## 4 4          0.00155 0.000119    89 0.0000126 0.00156
## 5 5          0.00196 0.000262    83 0.0000287 0.00199
ggplot(sum, aes(x = predictors, y = mean, fill = predictors)) +
  geom_bar(stat = "identity", color = "black") +
  scale_fill_viridis_d() +
  geom_errorbar(aes(ymin = mean - se, ymax = mean + se), width = 0.2, position = position_dodge(0.9)) +
  labs(x = "Treatment", y = "Relative Fat (g)", title = "Average Drone Abdominal Relative Fat by Treatment") +
   theme_classic(base_size = 30) +
    coord_cartesian(ylim=c(0.001, 0.002)) +
  annotate(geom = "text", 
          x = 3, y = 0.002 ,
          label = "P < 0.01",
          size = 8) +
  annotate(geom = "text",
           x = c(1, 2, 3, 4, 5),
           y = c(sum$plot + 3e-05),
           label = c("bc", "abc", "a", "ab", "c"),
           size = 8) +
  theme(legend.position =  "none")

ggplot(drone.rad, aes(x = whole.mean, y = radial, color = treatment)) +
  geom_point(size = 3) +
  labs(x = "Average Pollen Consumed(g)", y = "Relative Fat(g)", title = "Drone Abdominal Relative Fat by Average Pollen Consumed") +
  theme_minimal() +
  scale_color_viridis_d() +
  geom_smooth(method = "lm", color = "pink", size = 1) 

Colony Duration

dur1 <- glm(duration ~ treatment + whole.mean + alive + replicate + drones, data = drone.ce)
summary(dur1)
## 
## Call:
## glm(formula = duration ~ treatment + whole.mean + alive + replicate + 
##     drones, data = drone.ce)
## 
## Deviance Residuals: 
##     Min       1Q   Median       3Q      Max  
## -7.8885  -2.2841   0.4456   1.9661  10.7613  
## 
## Coefficients:
##              Estimate Std. Error t value Pr(>|t|)    
## (Intercept)  40.20958    3.88789  10.342 3.06e-11 ***
## treatment2   -4.05819    2.27490  -1.784 0.084909 .  
## treatment3   -2.05436    2.47282  -0.831 0.412889    
## treatment4   -6.54041    2.19230  -2.983 0.005732 ** 
## treatment5   -6.08143    2.25836  -2.693 0.011647 *  
## whole.mean  -14.77238    8.24584  -1.791 0.083656 .  
## alive         2.50540    0.66815   3.750 0.000786 ***
## replicate2    4.32732    3.20428   1.350 0.187307    
## replicate3   -4.00625    2.96210  -1.353 0.186667    
## replicate4    2.01988    3.34628   0.604 0.550790    
## replicate5    0.06567    3.35106   0.020 0.984500    
## replicate7   -1.76342    2.98341  -0.591 0.559049    
## replicate9    3.32749    2.95444   1.126 0.269287    
## replicate11  -1.78481    3.04298  -0.587 0.562056    
## replicate12   7.22386    3.15575   2.289 0.029543 *  
## drones        0.18956    0.20307   0.933 0.358286    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for gaussian family taken to be 21.11888)
## 
##     Null deviance: 1883.20  on 44  degrees of freedom
## Residual deviance:  612.45  on 29  degrees of freedom
## AIC: 279.19
## 
## Number of Fisher Scoring iterations: 2
dur3 <- glm(duration ~ treatment*whole.mean + alive + replicate, data = drone.ce)
drop1(dur1, test = "Chisq")
## Single term deletions
## 
## Model:
## duration ~ treatment + whole.mean + alive + replicate + drones
##            Df Deviance    AIC scaled dev.  Pr(>Chi)    
## <none>          612.45 279.19                          
## treatment   4   868.53 286.91     15.7201  0.003419 ** 
## whole.mean  1   680.23 281.91      4.7234  0.029755 *  
## alive       1   909.40 294.98     17.7894 2.468e-05 ***
## replicate   8  1024.06 286.32     23.1328  0.003198 ** 
## drones      1   630.85 278.52      1.3322  0.248415    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
dur2 <- update(dur1, .~. -whole.mean)
anova(dur1, dur2, test = "Chisq")
## Analysis of Deviance Table
## 
## Model 1: duration ~ treatment + whole.mean + alive + replicate + drones
## Model 2: duration ~ treatment + alive + replicate + drones
##   Resid. Df Resid. Dev Df Deviance Pr(>Chi)  
## 1        29     612.45                       
## 2        30     680.23 -1   -67.78  0.07321 .
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
AIC(dur1, dur2)
##      df      AIC
## dur1 17 279.1905
## dur2 16 281.9139
Anova(dur1) 
## Analysis of Deviance Table (Type II tests)
## 
## Response: duration
##            LR Chisq Df Pr(>Chisq)    
## treatment   12.1256  4   0.016441 *  
## whole.mean   3.2095  1   0.073214 .  
## alive       14.0609  1   0.000177 ***
## replicate   19.4901  8   0.012447 *  
## drones       0.8714  1   0.350578    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
anova(dur1, dur3, test = "Chisq")
## Analysis of Deviance Table
## 
## Model 1: duration ~ treatment + whole.mean + alive + replicate + drones
## Model 2: duration ~ treatment * whole.mean + alive + replicate
##   Resid. Df Resid. Dev Df Deviance Pr(>Chi)
## 1        29     612.45                     
## 2        26     526.31  3   86.142   0.2352
plot(dur1)

plot(dur2)

durm <- emmeans(dur2, pairwise ~ treatment, type = "response")
durm
## $emmeans
##  treatment emmean   SE df lower.CL upper.CL
##  1           46.5 1.65 30     43.1     49.8
##  2           41.7 1.60 30     38.5     45.0
##  3           43.2 1.70 30     39.8     46.7
##  4           40.0 1.67 30     36.5     43.4
##  5           41.0 1.59 30     37.7     44.2
## 
## Results are averaged over the levels of: replicate 
## Confidence level used: 0.95 
## 
## $contrasts
##  contrast                estimate   SE df t.ratio p.value
##  treatment1 - treatment2    4.746 2.32 30   2.043  0.2711
##  treatment1 - treatment3    3.227 2.47 30   1.306  0.6895
##  treatment1 - treatment4    6.507 2.27 30   2.865  0.0542
##  treatment1 - treatment5    5.489 2.31 30   2.371  0.1512
##  treatment2 - treatment3   -1.518 2.29 30  -0.664  0.9626
##  treatment2 - treatment4    1.761 2.35 30   0.749  0.9429
##  treatment2 - treatment5    0.743 2.25 30   0.330  0.9973
##  treatment3 - treatment4    3.279 2.51 30   1.307  0.6891
##  treatment3 - treatment5    2.262 2.31 30   0.981  0.8619
##  treatment4 - treatment5   -1.018 2.32 30  -0.438  0.9919
## 
## Results are averaged over the levels of: replicate 
## P value adjustment: tukey method for comparing a family of 5 estimates
dur2
## 
## Call:  glm(formula = duration ~ treatment + alive + replicate + drones, 
##     data = drone.ce)
## 
## Coefficients:
## (Intercept)   treatment2   treatment3   treatment4   treatment5        alive  
##    36.71945     -4.74596     -3.22749     -6.50678     -5.48903      2.19415  
##  replicate2   replicate3   replicate4   replicate5   replicate7   replicate9  
##     6.11571     -4.05650      1.53857     -1.74754     -2.64805      3.88441  
## replicate11  replicate12       drones  
##    -0.84312      8.46662     -0.05065  
## 
## Degrees of Freedom: 44 Total (i.e. Null);  30 Residual
## Null Deviance:       1883 
## Residual Deviance: 680.2     AIC: 281.9
summary(dur2)
## 
## Call:
## glm(formula = duration ~ treatment + alive + replicate + drones, 
##     data = drone.ce)
## 
## Deviance Residuals: 
##     Min       1Q   Median       3Q      Max  
## -8.1576  -1.8997   0.2387   1.9234  11.0078  
## 
## Coefficients:
##             Estimate Std. Error t value Pr(>|t|)    
## (Intercept) 36.71945    3.48627  10.533 1.35e-11 ***
## treatment2  -4.74596    2.32338  -2.043  0.04996 *  
## treatment3  -3.22749    2.47079  -1.306  0.20139    
## treatment4  -6.50678    2.27152  -2.865  0.00756 ** 
## treatment5  -5.48903    2.31482  -2.371  0.02435 *  
## alive        2.19415    0.66850   3.282  0.00262 ** 
## replicate2   6.11571    3.15494   1.938  0.06203 .  
## replicate3  -4.05650    3.06910  -1.322  0.19625    
## replicate4   1.53857    3.45612   0.445  0.65939    
## replicate5  -1.74754    3.31011  -0.528  0.60143    
## replicate7  -2.64805    3.04868  -0.869  0.39197    
## replicate9   3.88441    3.04431   1.276  0.21176    
## replicate11 -0.84312    3.10565  -0.271  0.78788    
## replicate12  8.46662    3.18991   2.654  0.01260 *  
## drones      -0.05065    0.15803  -0.321  0.75080    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for gaussian family taken to be 22.67426)
## 
##     Null deviance: 1883.20  on 44  degrees of freedom
## Residual deviance:  680.23  on 30  degrees of freedom
## AIC: 281.91
## 
## Number of Fisher Scoring iterations: 2
durmedt <- setDT(as.data.frame(durm$emmeans))
durmcdt <- setDT(as.data.frame(durm$contrasts))
durmedt
##    treatment   emmean       SE df lower.CL upper.CL
## 1:         1 46.46052 1.647546 30 43.09578 49.82526
## 2:         2 41.71456 1.597787 30 38.45144 44.97768
## 3:         3 43.23303 1.703063 30 39.75491 46.71115
## 4:         4 39.95374 1.668630 30 36.54594 43.36153
## 5:         5 40.97149 1.592379 30 37.71941 44.22356
durmcdt
##                    contrast   estimate       SE df    t.ratio    p.value
##  1: treatment1 - treatment2  4.7459577 2.323375 30  2.0426994 0.27105734
##  2: treatment1 - treatment3  3.2274860 2.470792 30  1.3062556 0.68947538
##  3: treatment1 - treatment4  6.5067815 2.271517 30  2.8645099 0.05421493
##  4: treatment1 - treatment5  5.4890312 2.314821 30  2.3712547 0.15118029
##  5: treatment2 - treatment3 -1.5184716 2.287064 30 -0.6639392 0.96258247
##  6: treatment2 - treatment4  1.7608239 2.350514 30  0.7491230 0.94288956
##  7: treatment2 - treatment5  0.7430735 2.249442 30  0.3303368 0.99728269
##  8: treatment3 - treatment4  3.2792955 2.509246 30  1.3068849 0.68909833
##  9: treatment3 - treatment5  2.2615452 2.306373 30  0.9805637 0.86185671
## 10: treatment4 - treatment5 -1.0177503 2.321561 30 -0.4383904 0.99192737
Adur <- setDT(as.data.frame(Anova(dur2)))
Adur
##      LR Chisq Df   Pr(>Chisq)
## 1:  9.9482850  4 0.0413078832
## 2: 10.7729539  1 0.0010299401
## 3: 29.2951002  8 0.0002814171
## 4:  0.1027289  1 0.7485791141
cldur <- cld(object = durm,
                     adjust = "Tukey",
                     Letters = letters,
                     alpha = 0.05)

cldur
##  treatment emmean   SE df lower.CL upper.CL .group
##  4           40.0 1.67 30     35.4     44.5  a    
##  5           41.0 1.59 30     36.6     45.3  a    
##  2           41.7 1.60 30     37.3     46.1  a    
##  3           43.2 1.70 30     38.6     47.9  a    
##  1           46.5 1.65 30     41.9     51.0  a    
## 
## Results are averaged over the levels of: replicate 
## Confidence level used: 0.95 
## Conf-level adjustment: sidak method for 5 estimates 
## P value adjustment: tukey method for comparing a family of 5 estimates 
## significance level used: alpha = 0.05 
## NOTE: If two or more means share the same grouping symbol,
##       then we cannot show them to be different.
##       But we also did not show them to be the same.
durmdf <- as.data.frame(durm$emmeans)
durmdf$plot <- durmdf$emmean + durmdf$SE

ggplot(durmdf, aes(x = treatment, y = emmean, fill = treatment)) +
  geom_bar(stat = "identity", color = "black") +
  geom_errorbar(aes(ymin = emmean - SE, ymax = emmean + SE), width = 0.2, position = position_dodge(0.9)) +
  labs(x = "Treatment", y = "Days", title = "Average Colony Duration") +
  scale_fill_viridis_d() +
  coord_cartesian(ylim=c(35,50))+
  theme(legend.position = "none") +
   annotate(geom = "text", 
          x = 3, y = 50,
          label = "P = 0.03",
          size = 8) +
  annotate(geom = "text",
           x = c(1, 2, 3, 4, 5),
           y = c(durmdf$plot+1),
           label = c("b", "ab", "ab", "a", "ab"),
           size = 6) +
  theme(legend.position =  "none")

---
title: "Widely-used fungicide Pristine® causes sub-lethal effects in common eastern bumble bee (*Bombus impatiens*) microcolonies "
author: "Emily Runnion"
date: "Data Collected 2022, Data Analyzed 2023"
output:
  html_document:
    toc: true
    toc_depth: 4
    number_sections: false
    toc_float: true
    theme: journal
    code_download: true
---

```{r setup, include=FALSE}
knitr::opts_chunk$set(message = FALSE)
```

```{r load libraries, include=FALSE}
library(readr)
library(viridisLite)
library(stats)
library(ggplot2)
library(car)
library(emmeans)
library(MASS)
library(lme4)
library(tidyverse)
library(dplyr)

library(kableExtra)
library(blmeco)
library(tidyverse)
library(dplyr)
library(cowplot)
library(plotly)
library(agricolae) 
library(ggpubr)
library(glue)
library(multcomp)
library(multcompView)
library(glmmTMB)
library(rstatix)
library(fitdistrplus)
library(logspline)
library(olsrr)
library(GGally)
library(data.table)
```

### Input Data 

```{r input relevant data files}

brood <- read_csv("brood.csv")
brood$colony <- as.factor(brood$colony)
brood$treatment <- as.factor(brood$treatment)
brood$replicate<- as.factor(brood$replicate)
brood$qro <- as.factor(brood$qro)

drone.ce <- read_csv("drone.count.emerge.csv")
drone.ce$colony <- as.factor(drone.ce$colony)
drone.ce$treatment <- as.factor(drone.ce$treatment)
drone.ce$replicate<- as.factor(drone.ce$replicate)
drone.ce$qro <- as.factor(drone.ce$qro)

drone.h <- read_csv("drone.health.csv")
drone.h$colony <- as.factor(drone.h$colony)
drone.h$treatment <- as.factor(drone.h$treatment)
drone.h$replicate<- as.factor(drone.h$replicate)
drone.h$qro <- as.factor(drone.h$qro)

pollen <- read_csv("pollen.csv")
pollen$colony <- as.factor(pollen$colony)
pollen$treatment <- as.factor(pollen$treatment)
pollen$replicate<- as.factor(pollen$replicate)

qro <- read_csv("qro.csv")
qro$colony <- as.factor(qro$colony)
qro$qro <- as.factor(qro$qro)
pollen <- merge(pollen, qro, by.x = "colony")
pollen <- na.omit(pollen)
pollen$qro <- as.factor(pollen$qro)
# get rid of negative numbers
pollen$difference[pollen$difference < 0] <- NA
pollen <- na.omit(pollen)
range(pollen$difference)

weights <- read_csv("weights.csv")
weights$colony <- as.factor(weights$colony)
weights$treatment <- as.factor(weights$treatment)
weights$replicate<- as.factor(weights$replicate)
weights$qro <- as.factor(weights$qro)

workers <- read_csv("workers.csv")
workers$colony <- as.factor(workers$colony)
workers$treatment <- as.factor(workers$treatment)
workers$replicate<- as.factor(workers$replicate)
workers$qro <- as.factor(workers$qro)
workers$alive_at_end <- as.logical(workers$alive_at_end)
workers$dead_at_end <- as.logical(workers$dead_at_end)

cbindworkers <- read.csv("cbindworkers.csv")
cbindworkers$colony <- as.factor(cbindworkers$colony)
cbindworkers$treatment <- as.factor(cbindworkers$treatment)
cbindworkers$replicate <- as.factor(cbindworkers$replicate)

```


### Weight Change

```{r}
w <- weights 

range(w$difference)

u <- is.na(w)
unique(u)

ggplot(w, aes(x = difference, fill = treatment)) +
  geom_histogram(position = "identity", binwidth = 0.5, col = I("black")) +
  scale_fill_viridis_d() +  # Use viridis_d() for the color-blind friendly palette
  ggtitle("Colony Weight Change") +
  labs(y = "Count", x = "Weight (g)")

shapiro.test(w$difference)

```

```{r}
descdist(w$difference, discrete = FALSE)

wmod.int <- glm(difference ~ treatment*whole.mean + alive + duration + replicate, data = w)
wmod1 <- glm(difference ~ treatment + whole.mean + alive + duration + replicate, data = w)

anova(wmod.int, wmod1, test = "Chisq")

AIC(wmod.int, wmod1)

drop1(wmod1, test = "Chisq")

wmod2 <- update(wmod1, .~. -duration)

anova(wmod1, wmod2, test = "Chisq")

AIC(wmod1, wmod2)

drop1(wmod2, test = "Chisq")

wmod3 <- update(wmod2, .~. -replicate)

anova(wmod2, wmod3, test = "Chisq")

drop1(wmod3, test = "Chisq")

wmod3 <- update(wmod3, .~. -alive)
drop1(wmod3, test = "Chisq")

Anova(wmod3)

wmod3
summary(wmod3)

```

```{r}
wsum <- w %>%
  group_by(treatment) %>%
  summarise(m = mean(difference), 
            sd = sd(difference), 
            n = length(difference)) %>%
  mutate(se = sd/sqrt(n))

wdt <- setDT(as.data.frame(wsum))
wdt

aw <- setDT(as.data.frame(Anova(wmod3)))
aw

we <- emmeans(wmod3, "treatment")
wp <- pairs(we)
wp <- as.data.frame(wp)
wp <- setDT(wp)
wp
```


```{r, fig.width= 15, fig.height= 12}
wtuk.means <- emmeans(object = wmod3,
                        specs = "treatment",
                        adjust = "Tukey",
                        type = "response")


wtuk.means

wtkdt <- setDT(as.data.frame(wtuk.means))
wtkdt

w.cld.model <- cld(object = wtuk.means,
                     adjust = "Tukey",
                     Letters = letters,
                     alpha = 0.05)
w.cld.model

wtuk.treatment <- as.data.frame(w.cld.model)
wtuk.treatment

w_max <- w %>%
  group_by(treatment) %>%
  summarize(maxw = max(mean(difference)))


w_for_plotting <- full_join(wtuk.treatment, w_max,
                              by="treatment")

wsum

ggplot(data = wsum, aes(x = treatment, y = m, fill = treatment)) +
  geom_col(col = "black") +
  coord_cartesian(ylim = c(0, 20)) +
  scale_fill_viridis_d() +  # Use viridis_d() for the color-blind friendly palette
  geom_errorbar(aes(ymin = m - se, ymax = m + sd),
                position = position_dodge(2), width = 0.4, size = 1.5) +
  labs(y = "Mean Weight Difference") +
  ggtitle("Average Colony Weight Change(g) by Treatment") +
  scale_x_discrete(
    name = "Treatment",
    labels = c("0 PPB", "150 PPB", "1,500 PPB", "15,000 PPB", "150,000 PPB")
  ) +
  theme_classic(base_size = 30) +  # Adjust the base_size as needed
  annotate(
    geom = "text",
    x = 1, y = 19,
    label = " p = 0.24",
    size = 15  # Adjust the size of the annotation text as needed
  ) +
  annotate(
    geom = "text",
    x = c(1, 5, 2, 4, 3),
    y = c(14, 15, 14.5, 16, 18),
    label = c("a", "a", "a", "a", "a"),
    size = 20  # Adjust the size of the annotation text as needed
  ) +
  theme(legend.position = "none")

ggplot(w, aes(x = whole.mean, y = difference, color = treatment)) +
  geom_point(size = 5)+
  ggtitle("Amount of Pollen  Consumed vs. Average Colony Weight Change")+
  xlab("Mean Polen Consumption(g)") +
  ylab("Mean Weight(g)") +
  scale_fill_viridis_d() +
  theme(text = element_text(size = 20)) +
  geom_smooth(method = "lm", color = "black")


```

### Pollen Consumption

```{r}
shapiro.test(pollen$difference)

pollen$sq <- (pollen$difference)^(1/3)

pollen$box <- bcPower(pollen$difference, -3, gamma=1)

shapiro.test(pollen$sq)
shapiro.test(pollen$box)

ggplot(pollen, aes(x = box, fill = treatment)) +
  geom_histogram(position = "identity", binwidth = 0.01, col = I("black")) +
  scale_fill_viridis_d() +  # Use viridis_d() for the color-blind friendly palette
  ggtitle("Pollen Consumption(g)") +
  labs(y = "Count", x = "Pollen (g)")

p1 <- aov(box ~ treatment + count + bees_alive + replicate, data = pollen )
drop1(p1, test = "Chisq")
summary(p1)
plot(p1)

tuk <- glht(p1, linfct = mcp(treatment = "Tukey"))

tukcld <- cld(tuk)
tukcld

p3 <- lmer(difference ~ treatment + count + bees_alive + replicate + (1|colony), data = pollen)
plot(p3)
qqnorm(resid(p3));qqline(resid(p3)) 
Anova(p3)

p2 <- lmer(box ~ treatment*count + bees_alive + (1|colony), data = pollen )
plot(p2)
p2
summary(p2)
Anova(p2)
AP <- setDT(as.data.frame(Anova(p2)))
AP
qqnorm(resid(p2));qqline(resid(p2)) 

drop1(p2, test = "Chisq")

pe <- emmeans(p2, pairwise ~ treatment, type = "response")
pe

pecld <- cld(object = pe, 
               adjust = "TUkey",
               alpha = 0.05,
               Letters = letters)

pecld


sum <- pollen %>%
  group_by(treatment) %>%
  summarise(mean = mean(difference),
            sd = sd(difference),
            n = length(difference)) %>%
  mutate(se = sd/sqrt(n))

sum$plot <- sum$mean + sum$se

sum

sumdt <- setDT(as.data.frame(sum))
sumdt
emp <- emmeans(p2, pairwise ~ "treatment")
empdt <- setDT(as.data.frame(emp$emmeans))
ecpdt <- setDT(as.data.frame(emp$contrasts))
empdt
ecpdt

```



```{r, fig.width= 12, fig.height=10}

ggplot(data = sum, aes(x=treatment, y = mean, fill = treatment)) +
  geom_col(col = "black") +
  coord_cartesian(ylim = c(0, 0.58)) +
  scale_fill_viridis_d() +
  geom_errorbar(aes(ymin = mean - se, ymax = mean + se), width = 0.2, position = position_dodge(0.9)) +
  labs(title = "Average Pollen Consumption per Treatment", x = "Treatment", y = "Mean Pollen Consumed (g)") +
  annotate(geom = "text",
    x = c(1, 2, 3, 4, 5),
    y = c(sum$plot + 0.05),
    label = c("a", "a", "a", "a", "a"),
    size = 8  # Adjust the size of the annotation text as needed
  ) +
  theme_classic(base_size = 20) +
  theme(legend.position = "none") +
  annotate(geom = "text",
           x = 1, y = 0.58,
           label = "P > 0.05",
           size = 10)


```


### Whole Mean

```{r}

wm1 <- glm(whole.mean ~ treatment + alive +  replicate + brood_cells + drones, data = brood)
summary(wm1)
drop1(wm1, test = "Chisq")
Anova(wm1)

```


### Workers 

#### Dry Weight

```{r}

ggplot(workers, aes(x = dry_weight, fill = treatment)) +
  geom_histogram(position = "identity", binwidth = 0.002, col = I("black")) +
  scale_fill_viridis_d() +  # Use viridis_d() for the color-blind friendly palette
  ggtitle("Worker Dry Weight(g)") +
  labs(y = "Count", x = "Weight (g)")

shapiro.test(workers$dry_weight)


workers$logdry <- log(workers$dry_weight)

shapiro.test(workers$logdry)

ggplot(workers, aes(x = logdry, fill = treatment)) +
  geom_histogram(position = "identity", binwidth = 0.05, col = I("black")) +
  scale_fill_viridis_d() +  # Use viridis_d() for the color-blind friendly palette
  ggtitle("Worker Dry Weight(g)") +
  labs(y = "Count", x = "Weight (g)")

```


```{r}

wrkdry.int <- lmer(logdry ~ treatment*whole.mean + alive_at_end + colony_duration + days_alive + (1|colony), data = workers)
wrkdry1 <- lmer(logdry ~ treatment + whole.mean + alive_at_end + colony_duration + days_alive + (1|colony), data = workers)

anova(wrkdry.int, wrkdry1)

drop1(wrkdry1, test = "Chisq")

wd1 <- update(wrkdry1, .~. -alive_at_end)
drop1(wd1, test = "Chisq")

wd2 <- update(wd1, .~. -days_alive)
drop1(wd1, test = "Chisq")

wd3 <- update(wd2, .~. -colony_duration)
drop1(wd3, test = "Chisq")

wd3
Anova(wd3)
wa <- setDT(as.data.frame(((Anova(wd3)))))
wa

workdry <- workers %>%
  group_by(treatment) %>%
  summarise(a.m= mean(dry_weight), 
            sd.a = sd(dry_weight),
            n.a = length(dry_weight)) %>%
  mutate(sea = sd.a / sqrt(n.a))

workdry <- setDT(workdry)
workdry
```


```{r, fig.height= 12, fig.width= 12}
workdryem <- emmeans(wmod3, ~treatment, type = "response")
workdryem

wp <- as.data.frame(pairs(workdryem))
wp <- setDT(wp)
wp

wde <- as.data.frame(workdryem)
wde2 <- setDT(wde)
wde2

workcld <- cld(object = workdryem, 
               adjust = "TUkey",
               alpha = 0.05,
               Letters = letters)
workcld

emmdf2 <- as.data.frame(workcld)

emmdf2


workdry$plot <- workdry$a.m + workdry$sea

ggplot(data = workdry, aes(x = treatment, y = a.m, fill = treatment)) +
  geom_col(col = "black") +
  coord_cartesian(ylim = c(0, 0.06)) +
  scale_fill_viridis_d() +  # Use viridis_d() for the color-blind friendly palette
  geom_errorbar(aes(ymax = a.m + sea, ymin = a.m - sea),
                position = position_dodge(2), width = 0.4, size = 1.5) +
  labs(y = "Average Worker Dry Weight(g)") +
  ggtitle("Average Worker Dry Weight(g) by Treatment") +
  scale_x_discrete(
    name = "Treatment",
    labels = c("0 PPB", "150 PPB", "1,500 PPB", "15,000 PPB", "150,000 PPB")
  ) +
  theme_classic(base_size = 30) +  # Adjust the base_size as needed
  annotate(
    geom = "text",
    x = 1, y = 0.06,
    label = " p = 0.74",
    size = 15  # Adjust the size of the annotation text as needed
  ) +
  annotate(
    geom = "text",
    x = c(1, 5, 2, 4, 3),
    y = c(0.055, 0.055, 0.054, 0.057, 0.056),
    label = c("a", "a", "a", "a", "a"),
    size = 20  # Adjust the size of the annotation text as needed
  ) +
  theme(legend.position = "none")

```

```{r, fig.width= 12, fig.height= 10}
ggplot(workers, aes(x = whole.mean, y = dry_weight, color = treatment)) +
  geom_point(size = 5)+
  ggtitle("Amount of Pollen  Consumed vs. Average Worker Dry Weight")+
  xlab("Mean Polen Consumption(g)") +
  ylab("Mean Dry Weight(g)") +
  scale_fill_viridis_d() +
  theme(text = element_text(size = 20)) +
  geom_smooth(method = "lm", color = "black")
```


#### Worker Survival 

##### Days Alive

```{r}
workers$survived <- as.logical(workers$survived)

wrkdays1 <- lmer(days_alive ~ treatment + whole.mean + colony_duration + replicate + dry_weight + (1|colony), data = workers)
drop1(wrkdays1, test = "Chisq")
wd2 <- update(wrkdays1, .~. -dry_weight)
drop1(wd2, test = "Chisq")

qqnorm(resid(wd2));qqline(resid(wd2))

wd2

Anova(wd2)

```
##### cbind workers

```{r, fig.width= 12}
cbw1 <- glm(cbind(alive, dead) ~ treatment + whole.mean + qro + duration, data = cbindworkers, family = binomial("logit"))
cbw2 <- glm(cbind(alive, dead) ~ treatment + whole.mean + replicate + duration, data = cbindworkers, family = binomial("logit"))
anova(cbw1, cbw2, test = "Chisq")
AIC(cbw1, cbw2)

drop1(cbw1, test = "Chisq")

plot(cbw1)
plot(cbw2)

cbw1
Anova(cbw1)

acw <- setDT(as.data.frame(Anova(cbw1)))
acw

emm1 <- emmeans(cbw1, pairwise ~ treatment, type = "response")
pairs(emm1)
emm1
emmdf <- as.data.frame(emm1$contrasts)
emmdf

workcld <- cld(object = emm1,
               adjust = "Tukey",
               alpha = 0.05,
               Letters = letters)

workcld 

workcld <- as.data.frame(workcld)

workcld$plot <- workcld$prob + workcld$asymp.UCL

workcld

ggplot(data = workcld, aes(x=treatment, y=prob, fill=treatment)) + 
  geom_col(position = "dodge", color = "black") +
  geom_errorbar(aes(ymin = prob - SE, ymax = prob + SE), width = 0.2, position = position_dodge(0.9)) + 
  coord_cartesian(ylim = c(0,1.3)) +
  labs(x = "Treatment", y = "Probability of Survival", title ="Probability of Worker Survival for Duration of Experiment") +
  theme(text = element_text(size = 20)) +                    
   annotate(geom = "text", 
          x = 1, y = 1.2,
          label = "P < 0.001",
          size = 8) +
  annotate(geom = "text",
           x = c(1, 2, 3, 4, 5),
           y = c(0.75, 1.1, 1.1, 1, 1.1),
           label = c("a", "ab", "b", "ab", "b"),
           size = 8) +
  theme(legend.position =  "none")
```


### Brood Production


```{r}

#Variables to keep = duration, treatment, whole mean, number alive, block, and qro 

brood1 <- glm.nb(brood_cells ~ treatment + whole.mean + alive + duration, data = brood)
brood2 <- glm.nb(brood_cells ~ treatment + whole.mean + alive + duration + replicate, data = brood)
emmeans(brood1, pairwise ~ treatment)
brood2 <- glm(brood_cells ~ treatment + whole.mean + alive + duration + replicate + qro, data = brood, family = "poisson") #overdispersed
summary(brood2)
drop1(brood1, test = "Chisq")
brood4 <- glm.nb(brood_cells ~ treatment*whole.mean + alive + duration, data = brood)
anova(brood1, brood4, test = "Chisq")

AIC(brood1, brood4)

drop1(brood1, test = "Chisq")
brood3 <- update(brood1, .~. -duration)
anova(brood1, brood3, test = "Chisq")
AIC(brood1, brood3)

ab <- setDT(as.data.frame(Anova(brood3)))
ab

Anova(brood3)

brood3
summary(brood3)

emb1 <- emmeans(brood3, "treatment", type = "response")
emb <- setDT(as.data.frame(emb1))
emb

pemb <- pairs(emb1)
pemb <- setDT(as.data.frame(pemb))
pemb

brood_sum <- brood %>%
  group_by(treatment) %>%
  summarise(mb = mean(brood_cells),
            nb = length(brood_cells), 
            sdb = sd(brood_cells)) %>%
  mutate(seb = (sdb/sqrt(nb)))
brood_sum
bsdt <- setDT(brood_sum)
bsdt

plot(brood$treatment, brood$brood_cells)


ggplot(brood, aes(x = treatment, y = brood_cells, fill = treatment)) +
  geom_boxplot(alpha = 0.8, width = 0.5, outlier.shape = NA) +
  scale_fill_viridis_d() +
  labs(x = "Treatment", y = "Mean Count of Brood Cells", title = "Count of Brood Cells by Treatment") +
  theme_minimal() +
  theme(legend.position = "right")


```


### Eggs

```{r}

e1 <- glm.nb(eggs ~ treatment + whole.mean + alive + duration + replicate, data = brood)
e2 <- glm.nb(eggs ~ treatment*whole.mean + alive + duration + replicate, data = brood)
e3 <- glm(eggs~treatment + whole.mean + alive + duration + replicate, data = brood, family = "poisson")  #overdispersed
summary(e3)

anova(e1, e2, test = "Chisq")  
AIC(e1, e2)

drop1(e1, test = "Chisq")
e4 <- update(e1, .~. -duration)
drop1(e4, test = "Chisq")
e5 <- update(e4, .~. -alive)
drop1(e5, test = "Chisq")

anova(e4, e5, test = "Chisq")  

summary(e5)
e5

ea <- setDT(as.data.frame(Anova(e5)))
ea

em <- emmeans(e5, pairwise ~ "treatment", type = "response")

emc <- setDT(as.data.frame(em$contrasts))
emc

emm <- setDT(as.data.frame(em$emmeans))
emm

e5

ggplot(brood, aes(x = treatment, y = eggs, fill = treatment)) +
  geom_boxplot(alpha = 0.8, width = 0.5, outlier.shape = NA) +
  scale_fill_viridis_d() +
  labs(x = "Treatment", y = "Mean Count of Eggs", title = "Count of Eggs by Treatment") +
  theme_minimal() +
  theme(legend.position = "right")

range(brood$eggs)

brood.sub <- brood[brood$eggs <= 50, ]

range(brood.sub$eggs)

ggplot(brood.sub, aes(x = treatment, y = eggs, fill = treatment)) +
  geom_boxplot(alpha = 0.8, width = 0.5, outlier.shape = NA) +
  scale_fill_viridis_d() +
  labs(x = "Treatment", y = "Mean Count of Eggs", title = "Count of Eggs by Treatment") +
  theme_minimal() +
  theme(legend.position = "right")

egg_sum1 <- brood %>%
  group_by(treatment) %>%
  summarise(me = mean(eggs),
            sde = sd(eggs),
            ne = length(eggs)) %>%
  mutate(see = sde/sqrt(ne))
egg_sum1


ggplot(egg_sum1, aes(x = treatment, y = me)) +
  geom_bar(stat = "identity", fill = "steelblue", color = "black") +
  geom_errorbar(aes(ymin = me - see, ymax = me + see), width = 0.2, position = position_dodge(0.9)) +
  labs(x = "Treatment", y = "Eggs", title = "Average Egg Count by Treatment (with the outlier of 87 eggs in T1.5)") +
  theme_minimal()

egg_sum <- brood.sub %>%
  group_by(treatment) %>%
  summarise(me = mean(eggs),
            sde = sd(eggs),
            ne = length(eggs)) %>%
  mutate(see = sde/sqrt(ne))
egg_sum


ggplot(egg_sum, aes(x = treatment, y = me)) +
  geom_bar(stat = "identity", fill = "steelblue", color = "black") +
  geom_errorbar(aes(ymin = me - see, ymax = me + see), width = 0.2, position = position_dodge(0.9)) +
  labs(x = "Treatment", y = "Eggs", title = "Average Egg Count by Treatment (without the outlier of 87 eggs in T1.5)") +
  theme_minimal()

e1 <- glm.nb(eggs ~ treatment + whole.mean, data = brood.sub)

Anova(e1)

```

### Honey Pots

```{r}

hp1 <- glm.nb(honey_pot ~ treatment + whole.mean + alive + duration + replicate, data = brood)
hp2 <- glm.nb(honey_pot ~ treatment*whole.mean + alive + duration + replicate, data=brood)
hp3 <- glm(honey_pot ~ treatment + whole.mean + alive + duration + replicate, data = brood, family = "poisson")
summary(hp3) 
anova(hp1, hp2, test ="Chisq")

descdist(brood$honey_pot, discrete = TRUE)

plot(hp3)
plot(hp1)

Anova(hp1)
Anova(hp3)

AIC(hp1, hp3)

drop1(hp1, test = "Chisq")
drop1(hp3, test = "Chisq")

hp5 <- update(hp3, .~. -duration)
drop1(hp5, test = "Chisq")
hp4 <- update(hp5, .~. -replicate)
drop1(hp4, test = "Chisq")

Anova(hp4)
Anova(hp5)


ha <- setDT(as.data.frame(Anova(hp4)))
ha
hp4

ggplot(brood, aes(x = treatment, y = honey_pot, fill = treatment)) +
  geom_boxplot(alpha = 0.8, width = 0.5, outlier.shape = NA) +
  scale_fill_viridis_d() +
  labs(x = "Treatment", y = "Mean Count of Honey Pots", title = "Count of Honey Pots by Treatment") +
  theme_minimal() +
  theme(legend.position = "right")

hp_sum <- brood %>%
  group_by(treatment) %>%
  summarise(mhp = mean(honey_pot), 
            sdhp = sd(honey_pot),
            nhp = length(honey_pot)) %>%
  mutate(sehp = sdhp/sqrt(nhp))


hp.means <- emmeans(object = hp4,
                        specs = "treatment",
                        adjust = "Tukey",
                        type = "response")

hpem <- setDT(as.data.frame(hp.means))
hpem

hpa <- setDT(as.data.frame(pairs(hp.means)))
hpa

hp.cld.model <- cld(object = hp.means,
                     adjust = "Tukey",
                     Letters = letters,
                     alpha = 0.05)
hp.cld.model

ggplot(hp_sum, aes(x = treatment, y = mhp)) +
  geom_bar(stat = "identity", fill = "steelblue", color = "black") +
  geom_errorbar(aes(ymin = mhp - sehp, ymax = mhp + sehp), width = 0.2, position = position_dodge(0.9)) +
  labs(x = "Treatment", y = "Honey Pot Count", title = "Average Honey Pots by Treatment") +
  theme_minimal()

```


### Larvae and Pupae

```{r}

brood$larvae <- brood$dead_larvae + brood$live_larvae
brood$pupae <- brood$dead_lp + brood$live_pupae

#total count of larvae 
bl1 <- glm.nb(larvae ~ treatment + whole.mean + alive + duration + replicate, data = brood)
bl2 <- glm.nb(larvae ~ treatment*whole.mean + alive + duration + replicate, data = brood)
bl3 <- glm(larvae ~ treatment + whole.mean + alive + duration + replicate, data = brood, family = "poisson") #overdispersed
anova(bl1, bl2, test = "Chisq")
AIC(bl1, bl2)
summary(bl3)

drop1(bl1, test = "Chisq")
bl5 <- update(bl1, .~. -duration)
drop1(bl5, test = "Chisq")

Anova(bl5)
ple <- emmeans(bl5, pairwise ~ treatment, type = "response")
pairs(ple)


#Larvae slightly different 
larv_sum <- brood %>%
  group_by(treatment) %>%
  summarise(mhp = mean(larvae), 
            sdhp = sd(larvae),
            nhp = length(larvae)) %>%
  mutate(sehp = sdhp/sqrt(nhp))

L <- ggplot(larv_sum, aes(x = treatment, y = mhp)) +
  geom_bar(stat = "identity", fill = "steelblue", color = "black") +
  geom_errorbar(aes(ymin = mhp - sehp, ymax = mhp + sehp), width = 0.2, position = position_dodge(0.9)) +
  labs(x = "Treatment", y = "Larvae Count", title = "Average Larvae by Treatment") +
  theme_minimal()


#total count of pupae 
bp1 <- glm.nb(pupae ~ treatment + whole.mean + alive + duration + replicate, data = brood)
bp2 <- glm.nb(pupae ~treatment*whole.mean + alive + duration + replicate, data = brood)
bp3 <- glm(pupae ~ treatment + whole.mean + alive + duration + replicate, data = brood, family = "poisson") #overdispersed
anova(bp1, bp2, test = "Chisq")
AIC(bp1, bp2)
summary(bp3)

drop1(bp1, test = "Chisq")
bp4 <- update(bp1, .~. -duration)
drop1(bp4, test = "Chisq")
bp5 <- update(bp4, .~. -alive)
drop1(bp5, test ="Chisq")

Anova(bp5)
pe <- emmeans(bp5, pairwise ~ treatment, type = "response")
pairs(pe)

pup_sum <- brood %>%
  group_by(treatment) %>%
  summarise(mhp = mean(pupae), 
            sdhp = sd(pupae),
            nhp = length(pupae)) %>%
  mutate(sehp = sdhp/sqrt(nhp))

P <- ggplot(pup_sum, aes(x = treatment, y = mhp)) +
  geom_bar(stat = "identity", fill = "steelblue", color = "black") +
  geom_errorbar(aes(ymin = mhp - sehp, ymax = mhp + sehp), width = 0.2, position = position_dodge(0.9)) +
  labs(x = "Treatment", y = "Pupae Count", title = "Average Pupae by Treatment") +
  theme_minimal()


library(ggpubr)
plot_grid(L, P, ncol=2, nrow =1)

```



```{r}
#total count of dead larvae 
bdlfinal<- glm.nb(dead_larvae ~ treatment + whole.mean, data = brood)
drop1(bdlfinal, test = "Chisq")
summary(bdlfinal)


bdl1 <- glm.nb(dead_larvae ~ treatment + whole.mean + alive + duration + replicate, data = brood)
drop1(bdl1, test = "Chisq")
bdl11 <- update(bdl1, .~. -alive)
drop1(bdl11, test = "Chisq")
summary(bdl11)

bdl2 <- glm.nb(dead_larvae ~ treatment*whole.mean + alive + duration, data = brood)
drop1(bdl2, test = "Chisq")
bdl3 <- glm(dead_larvae ~ treatment + whole.mean + alive + duration + replicate, data = brood, family = "poisson") #overdispersed
summary(bdl3)
drop1(bdl3, test = "Chisq")
anova(bdl1, bdl2, test = "Chisq")
AIC(bdl1, bdl2)
AIC(bdl2, bdl3)

drop1(bdl3, test = "Chisq")
bdl4 <- update(bdl3, .~. -alive)
drop1(bdl4, test = "Chisq")
summary(bdl4)
Anova(bdl4)


bdlfinal
bdlA <- setDT(as.data.frame(Anova(bdlfinal)))
bdlA

dle <- emmeans(bdlfinal, pairwise ~ treatment, type = "response")
dlem <- setDT(as.data.frame(dle$emmeans))
dlcm <- setDT(as.data.frame(dle$contrasts))
dlem
dlcm

#total count of dead pupae
bdp1 <- glm.nb(dead_pupae ~ treatment + whole.mean + alive + duration + replicate, data = brood)
bdp2 <- glm.nb(dead_pupae ~ treatment*whole.mean + alive + duration + replicate,data = brood)
bdp3 <- glm(dead_pupae ~ treatment + whole.mean + alive + duration + replicate, data = brood, family = "poisson") #overdispersed
summary(bdp3)
anova(bdp1, bdp2, test = "Chisq")
AIC(bdp1, bdp2)

drop1(bdp1, test = "Chisq")
bdp4 <- update(bdp1, .~. -duration)
drop1(bdp4, test = "Chisq")
bdp4 <- update(bdp4, .~. -alive)
drop1(bdp4, test = "Chisq")

Anova(bdp4)
bdp4
summary(bdp4)
bdpa <- setDT(as.data.frame(Anova(bdp4)))
bdpa

dpe <- emmeans(bdp4, pairwise ~ treatment, type = "response")
pairs(dpe)
dpem <- setDT(as.data.frame(dpe$emmeans))
dpcm <- setDT(as.data.frame(dpe$contrasts))
dpem
dpem1 <- as.data.frame(dpem)
dpcm

ggplot(brood, aes(x = treatment, y = dead_pupae, fill = treatment)) +
  geom_boxplot(alpha = 0.8, width = 0.5) +
  scale_fill_viridis_d() +
  labs(x = "Treatment", y = "Mean Count", title = "Average Count of Dead Pupae by Treatment") +
  theme_minimal() +
  theme(legend.position = "right")

#One seemingly outlier in treatment 2


brood.sub1 <- brood[brood$dead_pupae <= 30, ]

bdp1 <- glm.nb(dead_pupae ~ treatment + whole.mean + alive + duration + replicate, data = brood.sub1)
bdp2 <- glm.nb(dead_pupae ~ treatment*whole.mean + alive + duration + replicate, data = brood.sub1)
bdp3 <- glm(dead_pupae ~ treatment + whole.mean + alive + duration + replicate, data = brood.sub1, family = "poisson") #not super overdispersed
summary(bdp3)
anova(bdp1, bdp2, test = "Chisq")
AIC(bdp1, bdp2)
AIC(bdp3)

drop1(bdp3, test = "Chisq")
bdp4 <- update(bdp1, .~. -alive)
drop1(bdp4, test = "Chisq")
bdp4 <- update(bdp4, .~. -replicate)
drop1(bdp4, test = "Chisq")
bdp4 <- update(bdp4, .~. -duration)

Anova(bdp4)
bdp4

bdpa <- setDT(as.data.frame(Anova(bdp4)))
bdpa

dpe <- emmeans(bdp4, pairwise ~ treatment, type = "response")
pairs(dpe)
dpem <- setDT(as.data.frame(dpe$emmeans))
dpcm <- setDT(as.data.frame(dpe$contrasts))
dpem
dpcm

ggplot(brood.sub1, aes(x = treatment, y = dead_pupae, fill = treatment)) +
  geom_boxplot(alpha = 0.8, width = 0.5) +
  scale_fill_viridis_d() +
  labs(x = "Treatment", y = "Mean Count", title = "Average Count of Dead Pupae by Treatment") +
  theme_minimal() +
  theme(legend.position = "right")

deadpupmeans <- emmeans(object = bdp4, 
                          specs = "treatment",
                          adjust = "Tukey",
                          type = "response")

deadpup.cld.model <- cld(object = deadpupmeans,
                     adjust = "Tukey",
                     Letters = letters,
                     alpha = 0.05)
deadpup.cld.model

deadpup.means <- as.data.frame(deadpupmeans)

dp_max <- brood.sub1 %>%
  group_by(treatment) %>%
  summarize(maxdp = max((dead_pupae)))


dpsum <- brood.sub1 %>%
  group_by(treatment) %>%
  summarise(mean = mean(dead_pupae), 
            sd = sd(dead_pupae),
            n = length(dead_pupae)) %>%
  mutate(se = sd/sqrt(n))
dpsum

ggplot(dpsum, aes(x = treatment, y = mean)) +
  geom_bar(stat = "identity", fill = "steelblue", color = "black") +
  geom_errorbar(aes(ymin = mean - se, ymax = mean + se), width = 0.2, position = position_dodge(0.9)) +
  labs(x = "Treatment", y = "Dead Pupae Count", title = "Average Dead Pupae by Treatment") +
  theme_minimal()
  

```


```{r, fig.width=12, fig.height=10}
ggplot(dpem1, aes(x = treatment, y = response, fill = treatment)) +
  geom_bar(stat = "identity", color = "black") +
  scale_fill_viridis_d() +
  geom_errorbar(aes(ymin = response - SE, ymax = response + SE), width = 0.2, position = position_dodge(0.9)) +
  labs(x = "Treatment", y = "Dead Pupae", title = "Count of Dead Pupae by Treatment") +
   theme_classic(base_size = 30) +
    coord_cartesian(ylim=c(0,7.4)) +
  annotate(geom = "text", 
          x = 1, y = 7,
          label = "P < 0.01",
          size = 8) +
  annotate(geom = "text",
           x = c(1, 2, 3, 4, 5),
           y = c((dpem1$response + dpem1$SE) + 0.3) ,
           label = c("a", "ab", "b", "a", "ab"),
           size = 8) +
  theme(legend.position =  "none")
```


#### cbind larvae and pupae 

```{r, fig.width= 14, fig.height= 10}
mod1 <- glm(cbind(alive_lp, dead_lp) ~ treatment + whole.mean + alive + duration + replicate, data = brood, family = binomial("logit"))
summary(mod1)
qqnorm(resid(mod1));qqline(resid(mod1))
Anova(mod1)
plot(mod1)
drop1(mod1, test = "Chisq")



mod3 <- update(mod1, .~. -duration)
drop1(mod3, test = "Chisq")

mod3
me <- emmeans(mod3, pairwise~treatment, type = "response")
me
mem <- setDT(as.data.frame(me$emmeans))
mcm <- setDT(as.data.frame(me$contrasts))
mem
mcm
alp <- setDT(as.data.frame(Anova(mod3)))
alp

mem$plot <- mem$prob + mem$SE

mem

mod3

sum <- brood %>%
  group_by(treatment) %>%
  summarise(mean.l = mean(alive_lp),
            mean.d = mean(dead_lp))


sum$prob.alive <- (sum$mean.l)/(sum$mean.d + sum$mean.l)
sum


cldb <- cld(object = me,
                     adjust = "Tukey",
                     Letters = letters,
                     alpha = 0.05)
cldb


ggplot(mem, aes(x = treatment, y = prob, fill = treatment)) +
  geom_bar(stat = "identity", color = "black") +
  scale_fill_viridis_d() +
  geom_errorbar(aes(ymin = prob - SE, ymax = prob + SE), width = 0.2, position = position_dodge(0.9)) +
  labs(x = "Treatment", y = "Probability", title = "Probability of Brood Being Alive Upon Dissection") +
   theme_classic(base_size = 30) +
    coord_cartesian(ylim=c(0.5,1)) +
  annotate(geom = "text", 
          x = 3, y = 1 ,
          label = "P < 0.001",
          size = 12) +
  annotate(geom = "text",
           x = c(1, 2, 3, 4, 5),
           y = c(mem$plot + 0.05),
           label = c("c", "a", "ab", "ab", "bc"),
           size = 12) +
  theme(legend.position =  "none")


```


#### Pupae cbind

```{r, fig.width= 13, fig.height=7}
mod1 <- glm(cbind(live_pupae, dead_pupae) ~ treatment + whole.mean + alive + duration + replicate, data = brood, family = binomial("logit"))
summary(mod1)
qqnorm(resid(mod1));qqline(resid(mod1))
Anova(mod1)
drop1(mod1, test = "Chisq")


mod3 <- update(mod1, .~. -alive)
drop1(mod3, test = "Chisq")
mod3 <- update(mod3, .~. -duration)
drop1(mod3, test = "Chisq")
mod3 <- update(mod3, .~. -whole.mean)
drop1(mod3, test = "Chisq")

plot(mod3)
Anova(mod3)

me <- emmeans(mod3, pairwise ~treatment, type = "response")
me
mem <- setDT(as.data.frame(me$emmeans))
mcm <- setDT(as.data.frame(me$contrasts))
mem
mcm
alp <- setDT(as.data.frame(Anova(mod3)))
alp

mem$plot <- mem$prob + mem$SE

mem

mod3


sum <- brood %>%
  group_by(treatment) %>%
  summarise(mean.l = mean(live_pupae),
            mean.d = mean(dead_pupae),
            sd.l = sd(live_pupae),
            sd.d = sd(dead_pupae),
            n.l = length(live_pupae),
            n.d = length(dead_pupae)) %>%
  mutate(se.l = sd.l/sqrt(n.l),
         se.d = sd.d/sqrt(n.d))

sum$prob.alive <- (sum$mean.l)/(sum$mean.d + sum$mean.l)
sum

cldb <- cld(object = me,
                     adjust = "Tukey",
                     Letters = letters,
                     alpha = 0.05)
cldb


ggplot(mem, aes(x = treatment, y = prob, fill = treatment)) +
  geom_bar(stat = "identity", color = "black") +
  scale_fill_viridis_d() +
  labs(x = "Treatment", y = "Probability", title = "Probability of Pupae Being Alive Upon Dissection") +
   theme_classic(base_size = 30) +
    coord_cartesian(ylim=c(0,0.5)) +
  annotate(geom = "text", 
          x = 1, y = 1.1 ,
          label = "P < 0.001",
          size = 12) +
  annotate(geom = "text",
           x = c(1, 2, 3, 4, 5),
           y = c(0.4, 0.4, 0.4, 0.4, 0.4),
           label = c("b", "ab", "ab", "a", "ab"),
           size = 12) +
  theme(legend.position =  "none")
```

### Larvae cbind 

```{r, fig.width= 13, fig.height=7}
mod1 <- glm(cbind(live_larvae, dead_larvae) ~ treatment + whole.mean + alive + duration + replicate, data = brood, family = binomial("logit"))
summary(mod1)
qqnorm(resid(mod1));qqline(resid(mod1))
Anova(mod1)
plot(mod1)
drop1(mod1, test = "Chisq")


mod3 <- update(mod1, .~. -alive)
drop1(mod3, test = "Chisq")

plot(mod3)

me <- emmeans(mod3, pairwise ~treatment, type = "response")
me
mem <- setDT(as.data.frame(me$emmeans))
mcm <- setDT(as.data.frame(me$contrasts))
mem
mcm
alp <- setDT(as.data.frame(Anova(mod3)))
alp

mem$plot <- mem$prob + mem$SE

mem

mod3

sum <- brood %>%
  group_by(treatment) %>%
  summarise(mean.l = mean(live_larvae),
            mean.d = mean(dead_larvae),
            sd.l = sd(live_larvae),
            sd.d = sd(dead_larvae),
            n.l = length(live_larvae),
            n.d = length(dead_larvae)) %>%
  mutate(se.l = sd.l/sqrt(n.l),
         se.d = sd.d/sqrt(n.d))

sum$prob.alive <- (sum$mean.l)/(sum$mean.d + sum$mean.l)
sum


cldb <- cld(object = me,
                     adjust = "Tukey",
                     Letters = letters,
                     alpha = 0.05)
cldb


ggplot(mem, aes(x = treatment, y = prob, fill = treatment)) +
  geom_bar(stat = "identity", color = "black") +
  scale_fill_viridis_d() +
  labs(x = "Treatment", y = "Probability", title = "Probability of Larvae Being Alive Upon Dissection") +
geom_errorbar(aes(ymin = prob - SE, ymax = prob + SE), width = 0.2, position = position_dodge(0.9)) +
   theme_classic(base_size = 30) +
    coord_cartesian(ylim=c(0.8,1.1)) +
  annotate(geom = "text", 
          x = 3, y = 1.1 ,
          label = "P < 0.001",
          size = 12) +
  annotate(geom = "text",
           x = c(1, 2, 3, 4, 5),
           y = c(mem$plot + 0.05),
           label = c("c", "a", "ab", "ab", "bc"),
           size = 12) +
  theme(legend.position =  "none")
```


### Drone Count 

```{r}
drone.ce$sqr <- (drone.ce$count)^2

dc1 <- glm.nb(count ~ treatment + whole.mean + alive + duration + replicate, data = drone.ce)
dc2 <- glm.nb(count ~ treatment*whole.mean + alive + duration + replicate, data = drone.ce)
dc3 <- glm(count ~ treatment + whole.mean + alive + duration + replicate, data = drone.ce, family = "poisson")
summary(dc3) #overdispersed 

dc1sq <- glm.nb(sqr ~ treatment + whole.mean + alive + duration + replicate, data = drone.ce)
dc2sq <- glm.nb(sqr ~ treatment*whole.mean + alive + duration + replicate, data = drone.ce)
dc3sq <- glm(sqr ~ treatment + whole.mean + alive + duration + replicate, data = drone.ce, family = "poisson")
summary(dc3sq)

anova(dc1, dc2, test = "Chisq")
AIC(dc1, dc2)

drop1(dc1, test = "Chisq")
dc4 <- update(dc1, .~. -duration)
drop1(dc4, test = "Chisq")
summary(dc4)
dc4 <- update(dc4, .~. -replicate)
Anova(dc4)
summary(dc4) 
Anova(dc4)
plot(dc4)

drop1(dc1sq, test = "Chisq")
dc4sq <- update(dc1sq, .~. -duration)
drop1(dc4sq, test = "Chisq")

sum <- drone.ce %>%
  group_by(treatment) %>%
  summarise(mean = mean(count), 
            sd = sd(count),
            n = length(count)) %>%
  mutate(se = sd/sqrt(n))
sum

ggplot(sum, aes(x = treatment, y = mean)) +
  geom_bar(stat = "identity", fill = "steelblue", color = "black") +
  geom_errorbar(aes(ymin = mean - se, ymax = mean + se), width = 0.2, position = position_dodge(0.9)) +
  labs(x = "Treatment", y = "Drone Count", title = "Average Drones Produced by Treatment") +
  theme_minimal()


dc4
da <- setDT(as.data.frame(Anova(dc4)))
da
Anova(dc4)

emdc <- emmeans(dc4, pairwise ~ "treatment", type = "response")
em <- setDT(as.data.frame(emdc$emmeans))
emc <- setDT(as.data.frame(emdc$contrasts))
em
emc
```


### Drone Emerge Time

```{r}

drone.ce.na <- na.omit(drone.ce)

drone.ce.na$sqr <- (drone.ce.na$emerge)^2

descdist(drone.ce.na$emerge, discrete = TRUE)

de1 <- glm(emerge ~ treatment + whole.mean + alive + replicate, data = drone.ce.na, family ="quasipoisson")
summary(de1)

de2 <- glm.nb(emerge ~ treatment*whole.mean + alive + replicate , data = drone.ce.na)
summary(de2)

de22 <- glm.nb(sqr ~ treatment + whole.mean + alive + replicate + drones, data = drone.ce.na)
summary(de22)

plot(de22)
plot(de1)
de4 <- glm(emerge ~ treatment + whole.mean + alive + replicate + qro, data = drone.ce.na, family = "poisson")
summary(de2) #underdispersed 

AIC(de1, de4)
AIC(de1, de22)

drop1(de22, test ="Chisq")
de2 <- update(de22, .~. -alive)
drop1(de2, test = "Chisq")
Anova(de2)

ggplot(drone.ce.na, aes(x = treatment, y = emerge, fill = treatment)) +
  geom_boxplot(alpha = 0.8, width = 0.5, outlier.shape = NA) +
  scale_fill_viridis_d() +
  labs(x = "Treatment", y = "Mean Count of Days", title = "Days Until First Drone Emergence by Treatment") +
  theme_minimal() +
  theme(legend.position = "right")


plot(de2)

Anova(de2)

de2

ea <- setDT(as.data.frame(Anova(de2)))
ea

de2
summary(de2)

egm <- emmeans(de2, pairwise ~ treatment, type = "response")
eg <- setDT(as.data.frame(egm$emmeans))
eg
cg <- setDT(as.data.frame(egm$contrasts))
cg

em_sum <- drone.ce.na %>%
  group_by(treatment) %>%
  summarise(mean = mean(emerge),
            sd = sd(emerge),
            n = length(emerge)) %>%
  mutate(se = sd/sqrt(n))
em_sum

em_sum$plot <- (em_sum$mean + em_sum$se)

cldemer <-  cld(object = egm,
                     adjust = "Tukey",
                     Letters = letters,
                     alpha = 0.05)
cldemer

ggplot(em_sum, aes(x = treatment, y = mean, fill = treatment)) +
  geom_bar(stat = "identity", color = "black") +
   scale_fill_viridis_d() + 
  geom_errorbar(aes(ymin = mean - se, ymax = mean + se), width = 0.2, position = position_dodge(0.9)) +
  labs(x = "Treatment", y = "Days", title = "Average Time Until First Drone Emergence by Treatment") +
  theme_minimal()+ coord_cartesian(ylim = c(30,41)) +
  annotate(geom = "text",
           label = "P < 0.05",
           x = 1, y = 41) + 
  annotate(geom =  "text",
           label = c("b", "ab", "b", "a", "ab"),
           x = c(1, 2, 3, 4, 5),
           y = c(em_sum$plot + 0.4)) +
  theme(legend.position = "none")



ggplot(drone.ce.na, aes(x = whole.mean, y = emerge, color = treatment)) +
  geom_point(size = 3) +
  labs(x = "Average Pollen Consumed(g)", y = "Days", title = "Days Until First Drone Emergence by Average Pollen Consumed") +
  theme_minimal() +
  scale_color_viridis_d() +
  geom_smooth(method = "lm", color = "pink", size = 1)
```


### Drone Radial Cell 


```{r, fig.width= 13, fig.height= 10}
shapiro.test(drone.h$radial)
n <- is.na(drone.h$radial)
unique(n)
drone.rad <- na.omit(drone.h)

ggplot(drone.rad, aes(x=radial, fill = treatment)) +
  geom_histogram(position = "identity", binwidth = 0.05 ,col=I("black")) +
  scale_fill_manual(values = c("gray90", "gray70", "gray50" , "gray30","gray10"),
                    name = "Pristine Level",
                    labels = c("Treatment 1 (control)", "Treatment 2", 
                               "Treatment 3", "Treatment 4", "Treatment 5")) +
  ggtitle("Drone Radial Cell Length(mm)") +
  labs(y = "Count", x = "Length")
shapiro.test(drone.rad$radial)

drone.rad$sqr <- (drone.rad$radial)^2

shapiro.test(drone.rad$sqr)

ggplot(drone.rad, aes(x=sqr, fill = treatment)) +
  geom_histogram(position = "identity", binwidth = 0.5 ,col=I("black")) +
  scale_fill_manual(values = c("gray90", "gray70", "gray50" , "gray30","gray10"),
                    name = "Pristine Level",
                    labels = c("Treatment 1 (control)", "Treatment 2", 
                               "Treatment 3", "Treatment 4", "Treatment 5")) +
  ggtitle("Drone Radial Cell Length(mm)") +
  labs(y = "Count", x = "Length")

dr1 <- lmer(radial ~ treatment + whole.mean + alive + duration + replicate + (1|colony), data = drone.rad)
summary(dr1)
dr2 <- lmer(radial ~ treatment + whole.mean + alive + duration + (1|colony), data = drone.rad)
anova(dr1, dr2, test = "Chisq")
dr3 <- lmer(radial ~ treatment*whole.mean + alive + duration + replicate + (1|colony), data = drone.rad)
anova(dr1, dr3)

dr1 <- lmer(sqr ~ treatment + whole.mean + alive + duration + replicate + (1|colony), data = drone.rad)
dr2 <- lmer(sqr ~ treatment + whole.mean + alive + duration + (1|colony), data = drone.rad)
anova(dr1, dr2, test = "Chisq")
dr3 <- lmer(sqr~ treatment*whole.mean + alive + duration + replicate + (1|colony), data = drone.rad)
anova(dr1, dr3)

drop1(dr1, test = "Chisq")
dr4 <- update(dr1, .~. -whole.mean)
drop1(dr4, test = "Chisq")
dr5 <- update(dr4, .~. -duration)
drop1(dr5, test = "Chisq")
dr6 <- update(dr5, .~. -replicate)
drop1(dr6, test = "Chisq")
anova(dr5, dr6)

plot(dr5)
qqnorm(resid(dr5));qqline(resid(dr5))
plot(dr6)
qqnorm(resid(dr6));qqline(resid(dr6))    #keep dr6


dr6
Anova(dr6)
Anova(dr5)
dra <- setDT(as.data.frame(Anova(dr6)))
dra

dre <- emmeans(dr6, pairwise ~ treatment, type = "response")
edr <- setDT(as.data.frame(dre$emmeans))
edr
cdr <- setDT(as.data.frame(dre$contrasts))
cdr

sum <- drone.rad %>%
  group_by(treatment) %>%
  summarise(mean = mean(radial),
            sd = sd(radial),
            n = length(radial)) %>%
  mutate(se = sd/sqrt(n))

edr$plot <- (edr$emmean + edr$SE) + 0.5

edr

rad.cld <- cld(object =dre,
                     adjust = "Tukey",
                     Letters = letters,
                     alpha = 0.05)

rad.cld

ggplot(edr, aes(x = treatment, y = emmean, fill = treatment)) +
  geom_bar(stat = "identity", color = "black") +
  scale_fill_viridis_d() +
  geom_errorbar(aes(ymin = emmean - SE, ymax = emmean + SE), width = 0.2, position = position_dodge(0.9)) +
  labs(x = "Treatment", y = "Squared Radial Cell Length(mm)", title = "Average Drone Radial Cell Length by Treatment (squared)") +
   theme_classic(base_size = 25) +
    coord_cartesian(ylim=c(0,7)) +
  annotate(geom = "text", 
          x = 3, y = 7,
          label = "P > 0.05",
          size = 8) +
  annotate(geom = "text",
           x = c(1, 2, 3, 4, 5),
           y = c(edr$plot),
           label = c("a", "a", "a", "a", "a"),
           size = 8) +
  theme(legend.position =  "none")

```

### Drone Dry Weight

```{r}
shapiro.test(drone.rad$dry_weight)

ggplot(drone.rad, aes(x=dry_weight, fill = treatment)) +
  geom_histogram(position = "identity", binwidth = 0.001 ,col=I("black")) +
  scale_fill_manual(values = c("gray90", "gray70", "gray50" , "gray30","gray10"),
                    name = "Pristine Level",
                    labels = c("Treatment 1 (control)", "Treatment 2", 
                               "Treatment 3", "Treatment 4", "Treatment 5")) +
  ggtitle("Drone Radial Cell Length(mm)") +
  labs(y = "Count", x = "Length")

dd1 <- lmer(dry_weight ~ treatment + whole.mean + alive + duration + replicate + (1|colony), data = drone.rad)
dd8 <- lmer(dry_weight ~ treatment + whole.mean + alive + duration + (1|colony:replicate), data = drone.rad)
dd9 <- lmer(dry_weight ~ treatment + whole.mean + alive + duration + qro + (1|colony:replicate), data = drone.rad)
plot(dd8)
anova(dd1, dd8)
anova(dd8, dd9, dd1)
anova(dd1, dd9)
qqnorm(resid(dd8));qqline(resid(dd8))
drop1(dd8, test = "Chisq")
dd81 <- update(dd8, .~. -duration)
drop1(dd81, test = "Chisq")
dd82 <- update(dd81, .~. -whole.mean)
Anova(dd82)
qqnorm(resid(dd82));qqline(resid(dd81))
plot(dd82)
dd2 <- lmer(dry_weight ~ treatment*whole.mean + alive + duration + replicate + (1|colony), data = drone.rad)
dd3 <- lmer(dry_weight ~ treatment + whole.mean + alive + duration + (1|colony), data = drone.rad)
dd6 <- lmer(dry_weight ~ treatment + whole.mean + alive + duration + qro + (1|colony), data = drone.rad)
anova(dd1, dd6)

anova(dd1, dd2)
anova(dd1, dd3)

drop1(dd3, test = "Chisq")
dd4 <- update(dd3, .~. -duration)
drop1(dd4, test = "Chisq")
dd5 <- update(dd4, .~. -whole.mean)
anova(dd4, dd5)

drop1(dd6, test = "Chisq")
dd7 <- update(dd6, .~. -duration)
drop1(dd7, test = "Chisq")
dd8 <- update(dd7, .~. -whole.mean)
anova(dd7, dd8)


anova(dd5, dd8)  #with only one difference in variables (qro) dd5 is significantly better so we will stick with leaving out qro 

qqnorm(resid(dd5));qqline(resid(dd5))
qqnorm(resid(dd8));qqline(resid(dd8))


dd5
Anova(dd5)
dda <- setDT(as.data.frame(Anova(dd5)))
dda

dem <- emmeans(dd5, pairwise ~ treatment, type = "response")
de <- setDT(as.data.frame(dem$emmeans))
ce <- setDT(as.data.frame(dem$contrasts))
de
ce

de$plot <- de$emmean + de$SE


dd.cld <- cld(object =dem,
                     adjust = "Tukey",
                     Letters = letters,
                     alpha = 0.05)

dd.cld

de


```


```{r, fig.width= 13, fig.height= 10}
ggplot(de, aes(x = treatment, y = emmean, fill = treatment)) +
  geom_bar(stat = "identity", color = "black") +
  scale_fill_viridis_d() +
  geom_errorbar(aes(ymin = emmean - SE, ymax = emmean + SE), width = 0.2, position = position_dodge(0.9)) +
  labs(x = "Treatment", y = "Dry Weight(g)", title = "Average Drone Dry Weight by Treatment") +
   theme_classic(base_size = 30) +
    coord_cartesian(ylim=c(0.02, 0.042)) +
  annotate(geom = "text", 
          x = 3, y = 0.0425 ,
          label = "P < 0.01",
          size = 8) +
  annotate(geom = "text",
           x = c(1, 2, 3, 4, 5),
           y = c(de$plot+0.001),
           label = c("b", "ab", "a", "ab", "ab"),
           size = 8) +
  theme(legend.position =  "none")
```


### Drone Relative Fat

```{r, fig.width= 14, fig.height= 8}


shapiro.test(drone.rad$relative_fat)

drone.rad$logrf <- log(drone.rad$relative_fat)

shapiro.test(drone.rad$logrf)

ggplot(drone.rad, aes(x=relative_fat, fill = treatment)) +
  geom_histogram(position = "identity", binwidth = 0.0001 ,col=I("black")) +
  scale_fill_manual(values = c("gray90", "gray70", "gray50" , "gray30","gray10"),
                    name = "Pristine Level",
                    labels = c("Treatment 1 (control)", "Treatment 2", 
                               "Treatment 3", "Treatment 4", "Treatment 5")) +
  ggtitle("Drone Relative Fat") +
  labs(y = "Count", x = "Relative Fat(g)")

ggplot(drone.rad, aes(x=logrf, fill = treatment)) +
  geom_histogram(position = "identity", binwidth = 0.1 ,col=I("black")) +
  scale_fill_manual(values = c("gray90", "gray70", "gray50" , "gray30","gray10"),
                    name = "Pristine Level",
                    labels = c("Treatment 1 (control)", "Treatment 2", 
                               "Treatment 3", "Treatment 4", "Treatment 5")) +
  ggtitle("(Log) Drone Relative Fat") +
  labs(y = "Count", x = "log(Realtive Fat)(g)")




rf1 <- lmer(logrf ~ treatment + whole.mean + alive + duration + replicate + (1|colony), data = drone.rad)
rf4 <- lmer(relative_fat ~ treatment + whole.mean + alive + duration + replicate + (1|colony), data = drone.rad)
rf2 <- lmer(logrf ~ treatment*whole.mean + alive + duration + replicate +  (1|colony), data = drone.rad)

anova(rf1,rf2)

Anova(rf4)

drop1(rf1, test = "Chisq")
drop1(rf4, test = "Chisq")
rf11 <- update(rf1, .~. -replicate)

Anova(rf1)

Anova(rf11)

anova(rf11, rf1, test = "Chisq")

rf1
Anova(rf1)
dda <- setDT(as.data.frame(Anova(rf1)))
dda

qqnorm(resid(rf1));qqline(resid(rf1))
qqnorm(resid(rf4));qqline(resid(rf4))
plot(rf1)
plot(rf4)

dem <- emmeans(rf1, pairwise ~ treatment, type = "response")
de <- setDT(as.data.frame(dem$emmeans))
ce <- setDT(as.data.frame(dem$contrasts))
de
ce

dd.cld <- cld(object =dem,
                     adjust = "Tukey",
                     Letters = letters,
                     alpha = 0.05)

predicted_log <-predict(rf1, newdata = drone.rad)
predicted_original <- exp(predicted_log)
result_df <- data.frame(predictors = drone.rad$treatment, predicted_original)

sum <- result_df %>%
  group_by(predictors) %>%
  summarise(mean = mean(predicted_original),
            sd = sd(predicted_original),
            n=(length(predicted_original))) %>%
  mutate(se = sd/sqrt(n))

sum$plot <- (sum$mean + sum$se)

sum

ggplot(sum, aes(x = predictors, y = mean, fill = predictors)) +
  geom_bar(stat = "identity", color = "black") +
  scale_fill_viridis_d() +
  geom_errorbar(aes(ymin = mean - se, ymax = mean + se), width = 0.2, position = position_dodge(0.9)) +
  labs(x = "Treatment", y = "Relative Fat (g)", title = "Average Drone Abdominal Relative Fat by Treatment") +
   theme_classic(base_size = 30) +
    coord_cartesian(ylim=c(0.001, 0.002)) +
  annotate(geom = "text", 
          x = 3, y = 0.002 ,
          label = "P < 0.01",
          size = 8) +
  annotate(geom = "text",
           x = c(1, 2, 3, 4, 5),
           y = c(sum$plot + 3e-05),
           label = c("bc", "abc", "a", "ab", "c"),
           size = 8) +
  theme(legend.position =  "none")


ggplot(drone.rad, aes(x = whole.mean, y = radial, color = treatment)) +
  geom_point(size = 3) +
  labs(x = "Average Pollen Consumed(g)", y = "Relative Fat(g)", title = "Drone Abdominal Relative Fat by Average Pollen Consumed") +
  theme_minimal() +
  scale_color_viridis_d() +
  geom_smooth(method = "lm", color = "pink", size = 1) 


```

### Colony Duration 

```{r}

dur1 <- glm(duration ~ treatment + whole.mean + alive + replicate + drones, data = drone.ce)
summary(dur1)
dur3 <- glm(duration ~ treatment*whole.mean + alive + replicate, data = drone.ce)
drop1(dur1, test = "Chisq")
dur2 <- update(dur1, .~. -whole.mean)
anova(dur1, dur2, test = "Chisq")
AIC(dur1, dur2)
Anova(dur1) 
anova(dur1, dur3, test = "Chisq")

plot(dur1)
plot(dur2)

durm <- emmeans(dur2, pairwise ~ treatment, type = "response")
durm

dur2
summary(dur2)
durmedt <- setDT(as.data.frame(durm$emmeans))
durmcdt <- setDT(as.data.frame(durm$contrasts))
durmedt
durmcdt
Adur <- setDT(as.data.frame(Anova(dur2)))
Adur

cldur <- cld(object = durm,
                     adjust = "Tukey",
                     Letters = letters,
                     alpha = 0.05)

cldur
durmdf <- as.data.frame(durm$emmeans)
durmdf$plot <- durmdf$emmean + durmdf$SE

ggplot(durmdf, aes(x = treatment, y = emmean, fill = treatment)) +
  geom_bar(stat = "identity", color = "black") +
  geom_errorbar(aes(ymin = emmean - SE, ymax = emmean + SE), width = 0.2, position = position_dodge(0.9)) +
  labs(x = "Treatment", y = "Days", title = "Average Colony Duration") +
  scale_fill_viridis_d() +
  coord_cartesian(ylim=c(35,50))+
  theme(legend.position = "none") +
   annotate(geom = "text", 
          x = 3, y = 50,
          label = "P = 0.03",
          size = 8) +
  annotate(geom = "text",
           x = c(1, 2, 3, 4, 5),
           y = c(durmdf$plot+1),
           label = c("b", "ab", "ab", "a", "ab"),
           size = 6) +
  theme(legend.position =  "none")

```


