trt,start instar,start weight,end weight ,RGR (after 6 days),,
200 ml/day,3,2.03,101.20,0.160127553,,> ####noramlity and equal variance###################################################################################################################
200 ml/day,3,2.48,98.05,0.158459753,,> qqnorm(data$response)
200 ml/day,3,3.30,70.30,0.151715607,,> qqline(data$response)
200 ml/day,3,3.63,110.22,0.156049277,,> 
200 ml/day,3,2.28,95.30,0.158894867,,> library(rcompanion)
200 ml/day,3,2.17,58.40,0.154751094,,> plotNormalHistogram(data$response)
200 ml/day,3,2.60,99.03,0.158131011,,> 
200 ml/day,3,1.94,58.27,0.155939875,,> ####transformation if needed###################################################################################################################
200 ml/day,3,2.24,45.23,0.150945798,,"> data$response <- transformTukey(data$response, plotit=FALSE)"
200 ml/day,3,3.35,58.34,0.148584571,,
200 ml/day,3,2.27,30.83,0.143771476,,    lambda      W Shapiro.p.value
200 ml/day,3,2.42,48.26,0.150781122,,800  9.975 0.8883       4.603e-07
200 ml/day,3,2.79,59.63,0.151754843,,
200 ml/day,3,2.65,88.93,0.15700793,,if (lambda >  0){TRANS = x ^ lambda} 
200 ml/day,3,2.31,67.24,0.155612872,,if (lambda == 0){TRANS = log(x)} 
200 ml/day,3,2.42,98.46,0.158686493,,if (lambda <  0){TRANS = -1 * x ^ lambda} 
200 ml/day,3,2.19,14.98,0.124193,,
200 ml/day,3,3.34,112.34,0.157056408,,> ####Full linear model for ANOVA###################################################################################################################
200 ml/day,3,2.50,95.40,0.158162874,,"> model = lm(response ~ trt,"
200 ml/day,3,1.96,77.29,0.158427841,,+            data=data)
200 ml/day,3,2.11,68.26,0.156666134,,> library(car)
200 ml/day,3,1.68,34.77,0.151292251,,"> Anova(model, type=""II"")"
200 ml/day,3,2.95,96.63,0.156808101,,"Error in Anova.lm(model, type = ""II"") : "
200 ml/day,3,1.48,67.34,0.159492284,,  residual sum of squares is 0 (within rounding error)
200 ml/day,3,2.20,45.43,0.151278552,,
200 ml/day,3,1.24,34.81,0.155245758,,> ####Full linear model for ANOVA###################################################################################################################
200 ml/day,3,3.27,78.54,0.153338223,,"> model = lm(response ~ trt,"
200 ml/day,3,1.39,12.21,0.132598039,,+            data=data)
200 ml/day,3,1.59,35.67,0.152442297,,> library(car)
200 ml/day,3,2.15,78.52,0.157787764,,"> Anova(model, type=""II"")"
200 ml/day,3,2.08,89.45,0.159087288,,Anova Table (Type II tests)
200 ml/day,3,1.28,76.43,0.161191989,,
200 ml/day,3,1.13,47.92,0.158987428,,Response: response
50 ml/day,3,2.69,120.24,0.159385804,,             Sum Sq Df F value Pr(>F)
50 ml/day,3,1.69,56.50,0.156978784,,trt       0.0001727  2  1.1979 0.3063
50 ml/day,3,2.20,46.80,0.151708802,,Residuals 0.0069185 96      
50 ml/day,3,2.57,78.20,0.156075403,,
50 ml/day,3,2.20,56.62,0.15421971,,
50 ml/day,3,1.28,10.80,0.131408266,,
50 ml/day,3,3.31,50.23,0.146080926,,
50 ml/day,3,1.64,54.76,0.157002689,,
50 ml/day,3,2.12,87.84,0.158824892,,
50 ml/day,3,2.77,76.53,0.155012978,,
50 ml/day,3,3.70,115.49,0.156329205,,
50 ml/day,3,1.11,43.20,0.15830724,,
50 ml/day,3,1.96,66.30,0.157083562,,
50 ml/day,3,1.48,34.48,0.15295883,,
50 ml/day,3,1.91,54.78,0.155428895,,
50 ml/day,3,2.86,65.78,0.152766143,,
50 ml/day,3,2.53,73.82,0.155605215,,
50 ml/day,3,3.29,89.34,0.154836127,,
50 ml/day,3,1.25,44.38,0.157535247,,
50 ml/day,3,3.63,67.47,0.149642822,,
50 ml/day,3,2.42,53.98,0.152378208,,
50 ml/day,3,1.28,24.56,0.150185454,,
50 ml/day,3,2.32,89.98,0.158292592,,
50 ml/day,3,1.79,78.56,0.159245892,,
50 ml/day,3,0.97,10.20,0.137856396,,
50 ml/day,3,3.23,118.43,0.157816867,,
50 ml/day,3,2.53,123.34,0.159956901,,
50 ml/day,3,2.41,103.20,0.159052353,,
50 ml/day,3,2.45,94.02,0.158205377,,
50 ml/day,3,2.66,55.74,0.151490828,,
50 ml/day,3,2.81,32.48,0.140146416,,
50 ml/day,3,1.96,52.98,0.154789534,,
50 ml/day,3,3.13,40.27,0.14261782,,
50 ml/day,3,0.76,3.40,0.105851117,,
10 ml/day,3,2.08,54.56,0.154439785,,
10 ml/day,3,3.23,99.52,0.156196015,,
10 ml/day,3,1.00,45.30,0.159476048,,
10 ml/day,3,2.04,104.20,0.160281451,,
10 ml/day,3,1.42,52.31,0.157842088,,
10 ml/day,3,2.66,61.55,0.15285781,,
10 ml/day,3,2.03,72.89,0.157656455,,
10 ml/day,3,2.49,58.23,0.152984204,,
10 ml/day,3,1.88,82.05,0.159190421,,
10 ml/day,3,3.06,103.48,0.157107993,,
10 ml/day,3,3.65,94.67,0.154279866,,
10 ml/day,3,3.77,78.24,0.151353027,,
10 ml/day,3,1.25,27.50,0.15214619,,
10 ml/day,3,2.41,63.84,0.154565124,,
10 ml/day,3,2.59,80.41,0.156284515,,
10 ml/day,3,1.64,46.93,0.155419723,,
10 ml/day,3,1.84,57.28,0.156312774,,
10 ml/day,3,2.36,75.61,0.156587681,,
10 ml/day,3,2.52,71.59,0.155343026,,
10 ml/day,3,3.20,116.88,0.157793832,,
10 ml/day,3,2.25,103.45,0.159559539,,
10 ml/day,3,2.23,90.28,0.158631499,,
10 ml/day,3,1.60,51.49,0.156651283,,
10 ml/day,3,2.66,64.12,0.153383248,,
10 ml/day,3,3.45,115.60,0.157020454,,
10 ml/day,3,1.57,60.26,0.158222303,,
10 ml/day,3,1.33,54.12,0.158700815,,
10 ml/day,3,3.53,22.50,0.121517771,,
10 ml/day,3,3.00,50.62,0.148016909,,
10 ml/day,3,2.45,99.44,0.158639514,,
10 ml/day,3,1.81,73.20,0.158612453,,
10 ml/day,3,2.58,86.94,0.157046315,,
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