library(readxl)
Statistic_analyse_final_result <- read_excel("C:/Users/Admin/Desktop/Statistic analyse final result.xlsx", 
     sheet = "Treated data", range = "A1:I14", col_types = c("text", 
         "text", "numeric", "numeric", "numeric", 
         "numeric", "numeric", "numeric", 
         "numeric"))
attach(Statistic_analyse_final_result)

Production

Production=t.test(Statistic_analyse_final_result$`Production (kg)` ~ Statistic_analyse_final_result$Vaccination, data = Statistic_analyse_final_result, var.equal=TRUE)
Production
## 
##  Two Sample t-test
## 
## data:  Statistic_analyse_final_result$`Production (kg)` by Statistic_analyse_final_result$Vaccination
## t = -2.4771, df = 11, p-value = 0.03073
## alternative hypothesis: true difference in means is not equal to 0
## 95 percent confidence interval:
##  -111241.713   -6564.843
## sample estimates:
##    mean in group Control mean in group Vaccinated 
##                 297374.5                 356277.8

FCR

FCR=t.test(Statistic_analyse_final_result$`FCR (regardless of seeds)` ~ Statistic_analyse_final_result$Vaccination, data = Statistic_analyse_final_result, var.equal=TRUE)
FCR
## 
##  Two Sample t-test
## 
## data:  Statistic_analyse_final_result$`FCR (regardless of seeds)` by Statistic_analyse_final_result$Vaccination
## t = 0.39944, df = 11, p-value = 0.6972
## alternative hypothesis: true difference in means is not equal to 0
## 95 percent confidence interval:
##  -0.05136644  0.07414422
## sample estimates:
##    mean in group Control mean in group Vaccinated 
##                 1.552500                 1.541111

Culture period

Period=t.test(Statistic_analyse_final_result$`Culture period (day)` ~ Statistic_analyse_final_result$Vaccination, data = Statistic_analyse_final_result, var.equal=TRUE)
Period
## 
##  Two Sample t-test
## 
## data:  Statistic_analyse_final_result$`Culture period (day)` by Statistic_analyse_final_result$Vaccination
## t = 2.0926, df = 11, p-value = 0.06037
## alternative hypothesis: true difference in means is not equal to 0
## 95 percent confidence interval:
##  -1.922983 76.145205
## sample estimates:
##    mean in group Control mean in group Vaccinated 
##                 356.0000                 318.8889

Survival rate

SR=t.test(Statistic_analyse_final_result$`Survival rate (%) (included unexplainable deads)` ~ Statistic_analyse_final_result$Vaccination, data = Statistic_analyse_final_result, var.equal=TRUE)
SR
## 
##  Two Sample t-test
## 
## data:  Statistic_analyse_final_result$`Survival rate (%) (included unexplainable deads)` by Statistic_analyse_final_result$Vaccination
## t = -2.1386, df = 11, p-value = 0.05574
## alternative hypothesis: true difference in means is not equal to 0
## 95 percent confidence interval:
##  -0.215315390  0.003093168
## sample estimates:
##    mean in group Control mean in group Vaccinated 
##                0.5150000                0.6211111

Size 700-900g

Size_700  =t.test(Statistic_analyse_final_result$`Fish size (%) (700-900g)` ~ Statistic_analyse_final_result$Vaccination, data = Statistic_analyse_final_result, var.equal=TRUE)
Size_700
## 
##  Two Sample t-test
## 
## data:  Statistic_analyse_final_result$`Fish size (%) (700-900g)` by Statistic_analyse_final_result$Vaccination
## t = -1.9454, df = 10, p-value = 0.08036
## alternative hypothesis: true difference in means is not equal to 0
## 95 percent confidence interval:
##  -0.116800887  0.007911998
## sample estimates:
##    mean in group Control mean in group Vaccinated 
##                0.1733333                0.2277778

Size 900-1200g

Size_900  =t.test(Statistic_analyse_final_result$`Fish size (%) (900-1200g)` ~ Statistic_analyse_final_result$Vaccination, data = Statistic_analyse_final_result, var.equal=TRUE)
Size_900
## 
##  Two Sample t-test
## 
## data:  Statistic_analyse_final_result$`Fish size (%) (900-1200g)` by Statistic_analyse_final_result$Vaccination
## t = -1.4371, df = 10, p-value = 0.1812
## alternative hypothesis: true difference in means is not equal to 0
## 95 percent confidence interval:
##  -0.1558632  0.0336410
## sample estimates:
##    mean in group Control mean in group Vaccinated 
##                0.1600000                0.2211111

Size 700-1200g

Size_900  =t.test(Statistic_analyse_final_result$`Fish size (%) (700-1200g)` ~ Statistic_analyse_final_result$Vaccination, data = Statistic_analyse_final_result, var.equal=TRUE)
Size_900
## 
##  Two Sample t-test
## 
## data:  Statistic_analyse_final_result$`Fish size (%) (700-1200g)` by Statistic_analyse_final_result$Vaccination
## t = -1.7585, df = 10, p-value = 0.1092
## alternative hypothesis: true difference in means is not equal to 0
## 95 percent confidence interval:
##  -0.26197030  0.03085919
## sample estimates:
##    mean in group Control mean in group Vaccinated 
##                0.3333333                0.4488889

Analysis of Linear regression

Production

production=lm(Statistic_analyse_final_result$`Production (kg)`~Statistic_analyse_final_result$Vaccination)
summary(production)
## 
## Call:
## lm(formula = Statistic_analyse_final_result$`Production (kg)` ~ 
##     Statistic_analyse_final_result$Vaccination)
## 
## Residuals:
##    Min     1Q Median     3Q    Max 
## -78060  -9915  -2878  10244  76744 
## 
## Coefficients:
##                                                      Estimate Std. Error
## (Intercept)                                            297375      19786
## Statistic_analyse_final_result$VaccinationVaccinated    58903      23780
##                                                      t value Pr(>|t|)    
## (Intercept)                                           15.030 1.12e-08 ***
## Statistic_analyse_final_result$VaccinationVaccinated   2.477   0.0307 *  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 39570 on 11 degrees of freedom
## Multiple R-squared:  0.3581, Adjusted R-squared:  0.2997 
## F-statistic: 6.136 on 1 and 11 DF,  p-value: 0.03073
(confint(production)[,2]-confint(production)[,1])/2
##                                          (Intercept) 
##                                             43548.21 
## Statistic_analyse_final_result$VaccinationVaccinated 
##                                             52338.43

FCR

fcr=lm(Statistic_analyse_final_result$`FCR (regardless of seeds)`~Statistic_analyse_final_result$Vaccination)
summary(fcr)
## 
## Call:
## lm(formula = Statistic_analyse_final_result$`FCR (regardless of seeds)` ~ 
##     Statistic_analyse_final_result$Vaccination)
## 
## Residuals:
##      Min       1Q   Median       3Q      Max 
## -0.06111 -0.02250 -0.01111  0.01889  0.09889 
## 
## Coefficients:
##                                                      Estimate Std. Error
## (Intercept)                                           1.55250    0.02372
## Statistic_analyse_final_result$VaccinationVaccinated -0.01139    0.02851
##                                                      t value Pr(>|t|)    
## (Intercept)                                           65.441 1.32e-15 ***
## Statistic_analyse_final_result$VaccinationVaccinated  -0.399    0.697    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 0.04745 on 11 degrees of freedom
## Multiple R-squared:  0.0143, Adjusted R-squared:  -0.07531 
## F-statistic: 0.1595 on 1 and 11 DF,  p-value: 0.6972
(confint(fcr)[,2]-confint(fcr)[,1])/2
##                                          (Intercept) 
##                                           0.05221559 
## Statistic_analyse_final_result$VaccinationVaccinated 
##                                           0.06275533

Culture periods

day=lm(Statistic_analyse_final_result$`Culture period (day)`~Statistic_analyse_final_result$Vaccination)
summary(day)
## 
## Call:
## lm(formula = Statistic_analyse_final_result$`Culture period (day)` ~ 
##     Statistic_analyse_final_result$Vaccination)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -54.889 -11.000   3.111   9.000  53.111 
## 
## Coefficients:
##                                                      Estimate Std. Error
## (Intercept)                                            356.00      14.76
## Statistic_analyse_final_result$VaccinationVaccinated   -37.11      17.73
##                                                      t value Pr(>|t|)    
## (Intercept)                                           24.125 7.09e-11 ***
## Statistic_analyse_final_result$VaccinationVaccinated  -2.093   0.0604 .  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 29.51 on 11 degrees of freedom
## Multiple R-squared:  0.2847, Adjusted R-squared:  0.2197 
## F-statistic: 4.379 on 1 and 11 DF,  p-value: 0.06037
(confint(day)[,2]-confint(day)[,1])/2
##                                          (Intercept) 
##                                             32.47833 
## Statistic_analyse_final_result$VaccinationVaccinated 
##                                             39.03409

Survival rate

SR=lm(Statistic_analyse_final_result$`Survival rate (%) (included unexplainable deads)`~Statistic_analyse_final_result$Vaccination)
summary(SR)
## 
## Call:
## lm(formula = Statistic_analyse_final_result$`Survival rate (%) (included unexplainable deads)` ~ 
##     Statistic_analyse_final_result$Vaccination)
## 
## Residuals:
##      Min       1Q   Median       3Q      Max 
## -0.11500 -0.05500  0.01889  0.07500  0.10889 
## 
## Coefficients:
##                                                      Estimate Std. Error
## (Intercept)                                           0.51500    0.04128
## Statistic_analyse_final_result$VaccinationVaccinated  0.10611    0.04962
##                                                      t value Pr(>|t|)    
## (Intercept)                                           12.475  7.8e-08 ***
## Statistic_analyse_final_result$VaccinationVaccinated   2.139   0.0557 .  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 0.08257 on 11 degrees of freedom
## Multiple R-squared:  0.2937, Adjusted R-squared:  0.2295 
## F-statistic: 4.574 on 1 and 11 DF,  p-value: 0.05574
(confint(SR)[,2]-confint(SR)[,1])/2
##                                          (Intercept) 
##                                           0.09086345 
## Statistic_analyse_final_result$VaccinationVaccinated 
##                                           0.10920428

Size 700-900

Size1=lm(Statistic_analyse_final_result$`Fish size (%) (700-900g)`~Statistic_analyse_final_result$Vaccination)
summary(Size1)
## 
## Call:
## lm(formula = Statistic_analyse_final_result$`Fish size (%) (700-900g)` ~ 
##     Statistic_analyse_final_result$Vaccination)
## 
## Residuals:
##       Min        1Q    Median        3Q       Max 
## -0.057778 -0.029167  0.002222  0.023333  0.082222 
## 
## Coefficients:
##                                                      Estimate Std. Error
## (Intercept)                                           0.17333    0.02424
## Statistic_analyse_final_result$VaccinationVaccinated  0.05444    0.02799
##                                                      t value Pr(>|t|)    
## (Intercept)                                            7.152  3.1e-05 ***
## Statistic_analyse_final_result$VaccinationVaccinated   1.945   0.0804 .  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 0.04198 on 10 degrees of freedom
##   (1 observation deleted due to missingness)
## Multiple R-squared:  0.2746, Adjusted R-squared:  0.202 
## F-statistic: 3.785 on 1 and 10 DF,  p-value: 0.08036
(confint(Size1)[,2]-confint(Size1)[,1])/2
##                                          (Intercept) 
##                                           0.05400226 
## Statistic_analyse_final_result$VaccinationVaccinated 
##                                           0.06235644

Size 900-1200

Size2=lm(Statistic_analyse_final_result$`Fish size (%) (900-1200g)`~Statistic_analyse_final_result$Vaccination)
summary(Size2)
## 
## Call:
## lm(formula = Statistic_analyse_final_result$`Fish size (%) (900-1200g)` ~ 
##     Statistic_analyse_final_result$Vaccination)
## 
## Residuals:
##      Min       1Q   Median       3Q      Max 
## -0.12111 -0.02361  0.00500  0.04889  0.07889 
## 
## Coefficients:
##                                                      Estimate Std. Error
## (Intercept)                                           0.16000    0.03683
## Statistic_analyse_final_result$VaccinationVaccinated  0.06111    0.04253
##                                                      t value Pr(>|t|)   
## (Intercept)                                            4.345  0.00146 **
## Statistic_analyse_final_result$VaccinationVaccinated   1.437  0.18124   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 0.06379 on 10 degrees of freedom
##   (1 observation deleted due to missingness)
## Multiple R-squared:  0.1712, Adjusted R-squared:  0.08828 
## F-statistic: 2.065 on 1 and 10 DF,  p-value: 0.1812
(confint(Size2)[,2]-confint(Size2)[,1])/2
##                                          (Intercept) 
##                                           0.08205774 
## Statistic_analyse_final_result$VaccinationVaccinated 
##                                           0.09475211

Size 700-1200

Size3=lm(Statistic_analyse_final_result$`Fish size (%) (700-1200g)`~Statistic_analyse_final_result$Vaccination)
summary(Size3)
## 
## Call:
## lm(formula = Statistic_analyse_final_result$`Fish size (%) (700-1200g)` ~ 
##     Statistic_analyse_final_result$Vaccination)
## 
## Residuals:
##       Min        1Q    Median        3Q       Max 
## -0.168889 -0.033889  0.003889  0.063611  0.131111 
## 
## Coefficients:
##                                                      Estimate Std. Error
## (Intercept)                                           0.33333    0.05691
## Statistic_analyse_final_result$VaccinationVaccinated  0.11556    0.06571
##                                                      t value Pr(>|t|)    
## (Intercept)                                            5.857  0.00016 ***
## Statistic_analyse_final_result$VaccinationVaccinated   1.759  0.10916    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 0.09857 on 10 degrees of freedom
##   (1 observation deleted due to missingness)
## Multiple R-squared:  0.2362, Adjusted R-squared:  0.1598 
## F-statistic: 3.092 on 1 and 10 DF,  p-value: 0.1092
(confint(Size3)[,2]-confint(Size3)[,1])/2
##                                          (Intercept) 
##                                            0.1267989 
## Statistic_analyse_final_result$VaccinationVaccinated 
##                                            0.1464147