ANOVA ANALYSIS
NguyenLeTheQuang_2570002
2025-11-07
#PHÂN TÍCH DỬ LIỆU ANOVA ## AUTHOR: NGUYEN LE THE QUANG # Bài tập data_lab
library(readxl)
data_lab <- read_excel("D:/MÔN HỌC/HK251/Phân tích và xử lý dữ liệu đa chiều/data anova/data_lab.xlsx")
View(data_lab)
data_lab<- subset(data_lab,
select = c(L,a,b,Poids,Diam,Malate,Glucose,Fructose))
str(data_lab)## tibble [108 × 8] (S3: tbl_df/tbl/data.frame)
## $ L : num [1:108] 69.4 72 70.6 70.9 62.8 ...
## $ a : num [1:108] 0.9 -2.82 -1.56 -0.74 4.91 -2.85 -0.33 -2.46 -2.97 2.45 ...
## $ b : num [1:108] 43.2 45.3 41.2 45.1 43 ...
## $ Poids : num [1:108] 0.0448 0.0425 0.0471 0.0475 0.0487 0.0604 0.0599 0.0586 0.0573 0.0491 ...
## $ Diam : num [1:108] 0.0401 0.0395 0.0407 0.0415 0.042 ...
## $ Malate : num [1:108] 13.1 13.3 10.1 13.2 12.6 ...
## $ Glucose : num [1:108] 2.25 1.73 2.74 1.87 2.68 2.22 2.17 2.29 2.43 2.52 ...
## $ Fructose: num [1:108] 0.61 0.52 0.59 0.57 0.69 0.53 0.44 0.5 0.57 0.53 ...summary(data_lab)## L a b Poids
## Min. :62.77 Min. :-7.360 Min. :33.49 Min. :0.03870
## 1st Qu.:69.30 1st Qu.:-4.310 1st Qu.:40.10 1st Qu.:0.04680
## Median :70.31 Median :-1.695 Median :42.67 Median :0.05155
## Mean :70.20 Mean :-1.088 Mean :42.41 Mean :0.05277
## 3rd Qu.:71.21 3rd Qu.: 1.810 3rd Qu.:45.11 3rd Qu.:0.05758
## Max. :74.05 Max. : 7.300 Max. :50.56 Max. :0.07740
## Diam Malate Glucose Fructose
## Min. :0.03815 Min. : 8.00 Min. :1.720 Min. :0.4400
## 1st Qu.:0.04140 1st Qu.:11.01 1st Qu.:2.288 1st Qu.:0.6175
## Median :0.04303 Median :13.24 Median :2.540 Median :0.7650
## Mean :0.04301 Mean :14.05 Mean :2.785 Mean :0.7669
## 3rd Qu.:0.04454 3rd Qu.:16.83 3rd Qu.:3.192 3rd Qu.:0.8500
## Max. :0.04999 Max. :23.24 Max. :4.860 Max. :1.6000data_lab$L <- as.factor(data_lab$L)2. ANOVA
library(car)## Loading required package: carDataanova_Poids <- aov(Poids ~ L, data = data_lab)
anova_Diam <- aov(Diam ~ L, data = data_lab)
anova_Malate <- aov(Malate ~ L, data = data_lab)
anova_Glucose <- aov(Glucose ~ L, data = data_lab)
anova_Fructose <- aov(Fructose ~ L, data = data_lab)
summary(anova_Poids)## Df Sum Sq Mean Sq F value Pr(>F)
## L 98 0.006117 6.242e-05 1.306 0.352
## Residuals 9 0.000430 4.778e-05summary(anova_Diam)## Df Sum Sq Mean Sq F value Pr(>F)
## L 98 0.0005464 5.575e-06 1.658 0.208
## Residuals 9 0.0000303 3.362e-06summary(anova_Malate)## Df Sum Sq Mean Sq F value Pr(>F)
## L 98 1273.3 12.99 0.585 0.903
## Residuals 9 199.8 22.20summary(anova_Glucose)## Df Sum Sq Mean Sq F value Pr(>F)
## L 98 49.22 0.5022 1.189 0.419
## Residuals 9 3.80 0.4223summary(anova_Fructose)## Df Sum Sq Mean Sq F value Pr(>F)
## L 98 4.097 0.04181 1.098 0.481
## Residuals 9 0.343 0.03807Kết quả phân tích phương sai (ANOVA) cho thấy các giá trị p-value của các biến phụ thuộc đều lớn hơn 0,05. Cụ thể, đối với biến Poids, giá trị F = 1,306 với p = 0,352; biến Diam có F = 1,658 với p = 0,208; biến Malate có F = 0,585 với p = 0,903; biến Glucose có F = 1,189 với p = 0,419; và biến Fructose có F = 1,098 với p = 0,481.
Như vậy, ở mức ý nghĩa 5%, không có sự khác biệt có ý nghĩa thống kê giữa các nhóm của yếu tố L đối với các biến Poids, Diam, Malate, Glucose và Fructose. Nói cách khác, yếu tố L không ảnh hưởng đáng kể đến các chỉ tiêu sinh hóa và vật lý này trong mẫu nghiên cứu. # 4. Hậu kiểm Tukey nếu có ý nghĩa
TukeyHSD(anova_Poids)## Tukey multiple comparisons of means
## 95% family-wise confidence level
##
## Fit: aov(formula = Poids ~ L, data = data_lab)
##
## $L
## diff lwr upr p adj
## 65.1-62.77 2.200000e-03 -0.05665838 0.06105838 1.0000000
## 65.21-62.77 9.650000e-03 -0.04132286 0.06062286 1.0000000
## 66.34-62.77 2.700000e-03 -0.05615838 0.06155838 1.0000000
## 66.58-62.77 -4.800000e-03 -0.06365838 0.05405838 1.0000000
## 67.36-62.77 1.380000e-02 -0.04505838 0.07265838 1.0000000
## 67.93-62.77 1.780000e-02 -0.04105838 0.07665838 0.9986182
## 68.03-62.77 9.100000e-03 -0.04975838 0.06795838 1.0000000
## 68.08-62.77 -1.300000e-03 -0.06015838 0.05755838 1.0000000
## 68.36-62.77 -3.500000e-03 -0.06235838 0.05535838 1.0000000
## 68.38-62.77 8.100000e-03 -0.05075838 0.06695838 1.0000000
## 68.61-62.77 2.800000e-03 -0.05605838 0.06165838 1.0000000
## 68.62-62.77 4.000000e-04 -0.05057286 0.05137286 1.0000000
## 68.81-62.77 1.760000e-02 -0.04125838 0.07645838 0.9988494
## 68.93-62.77 6.800000e-03 -0.05205838 0.06565838 1.0000000
## 69.02-62.77 1.150000e-02 -0.04735838 0.07035838 1.0000000
## 69.03-62.77 -2.100000e-03 -0.06095838 0.05675838 1.0000000
## 69.05-62.77 -4.400000e-03 -0.06325838 0.05445838 1.0000000
## 69.11-62.77 1.160000e-02 -0.04725838 0.07045838 1.0000000
## 69.13-62.77 2.300000e-03 -0.04867286 0.05327286 1.0000000
## 69.14-62.77 1.430000e-02 -0.04455838 0.07315838 1.0000000
## 69.19-62.77 -1.000000e-02 -0.06885838 0.04885838 1.0000000
## 69.25-62.77 9.900000e-03 -0.04895838 0.06875838 1.0000000
## 69.26-62.77 5.500000e-03 -0.05335838 0.06435838 1.0000000
## 69.31-62.77 2.100000e-03 -0.05675838 0.06095838 1.0000000
## 69.36-62.77 -3.900000e-03 -0.06275838 0.05495838 1.0000000
## 69.37-62.77 7.300000e-03 -0.05155838 0.06615838 1.0000000
## 69.44-62.77 2.000000e-03 -0.05685838 0.06085838 1.0000000
## 69.53-62.77 1.800000e-02 -0.04085838 0.07685838 0.9983498
## 69.61-62.77 -1.000000e-03 -0.05985838 0.05785838 1.0000000
## 69.68-62.77 4.000000e-04 -0.05845838 0.05925838 1.0000000
## 69.69-62.77 -5.700000e-03 -0.06455838 0.05315838 1.0000000
## 69.74-62.77 1.300000e-03 -0.05755838 0.06015838 1.0000000
## 69.76-62.77 1.120000e-02 -0.04765838 0.07005838 1.0000000
## 69.81-62.77 -2.200000e-03 -0.06105838 0.05665838 1.0000000
## 69.83-62.77 -2.000000e-04 -0.05117286 0.05077286 1.0000000
## 69.91-62.77 8.800000e-03 -0.05005838 0.06765838 1.0000000
## 69.92-62.77 2.900000e-03 -0.05595838 0.06175838 1.0000000
## 69.95-62.77 7.700000e-03 -0.05115838 0.06655838 1.0000000
## 69.98-62.77 -6.200000e-03 -0.06505838 0.05265838 1.0000000
## 70.05-62.77 5.000000e-03 -0.05385838 0.06385838 1.0000000
## 70.06-62.77 1.610000e-02 -0.04275838 0.07495838 0.9997616
## 70.09-62.77 9.000000e-04 -0.05795838 0.05975838 1.0000000
## 70.14-62.77 7.600000e-03 -0.05125838 0.06645838 1.0000000
## 70.15-62.77 2.900000e-03 -0.05595838 0.06175838 1.0000000
## 70.2-62.77 -6.400000e-03 -0.06525838 0.05245838 1.0000000
## 70.23-62.77 -5.300000e-03 -0.05627286 0.04567286 1.0000000
## 70.25-62.77 7.000000e-04 -0.05815838 0.05955838 1.0000000
## 70.3-62.77 1.260000e-02 -0.04625838 0.07145838 1.0000000
## 70.31-62.77 1.340000e-02 -0.04545838 0.07225838 1.0000000
## 70.34-62.77 6.000000e-03 -0.05285838 0.06485838 1.0000000
## 70.45-62.77 8.600000e-03 -0.05025838 0.06745838 1.0000000
## 70.47-62.77 1.090000e-02 -0.04795838 0.06975838 1.0000000
## 70.52-62.77 7.300000e-03 -0.04367286 0.05827286 1.0000000
## 70.53-62.77 -9.000000e-04 -0.05975838 0.05795838 1.0000000
## 70.58-62.77 -1.900000e-03 -0.06075838 0.05695838 1.0000000
## 70.59-62.77 -1.600000e-03 -0.06045838 0.05725838 1.0000000
## 70.63-62.77 8.600000e-03 -0.05025838 0.06745838 1.0000000
## 70.64-62.77 2.000000e-04 -0.05865838 0.05905838 1.0000000
## 70.68-62.77 5.500000e-03 -0.05335838 0.06435838 1.0000000
## 70.79-62.77 -9.800000e-03 -0.06865838 0.04905838 1.0000000
## 70.84-62.77 -4.200000e-03 -0.06305838 0.05465838 1.0000000
## 70.86-62.77 1.990000e-02 -0.03107286 0.07087286 0.9641357
## 70.89-62.77 -1.200000e-03 -0.06005838 0.05765838 1.0000000
## 70.9-62.77 1.130000e-02 -0.04755838 0.07015838 1.0000000
## 70.92-62.77 5.750000e-03 -0.04522286 0.05672286 1.0000000
## 70.97-62.77 1.920000e-02 -0.03965838 0.07805838 0.9956962
## 70.99-62.77 2.870000e-02 -0.03015838 0.08755838 0.8042719
## 71.02-62.77 2.100000e-03 -0.05675838 0.06095838 1.0000000
## 71.03-62.77 -2.500000e-03 -0.06135838 0.05635838 1.0000000
## 71.09-62.77 -1.300000e-03 -0.06015838 0.05755838 1.0000000
## 71.14-62.77 1.200000e-03 -0.05765838 0.06005838 1.0000000
## 71.18-62.77 1.220000e-02 -0.04665838 0.07105838 1.0000000
## 71.31-62.77 8.000000e-04 -0.05805838 0.05965838 1.0000000
## 71.34-62.77 -1.200000e-03 -0.06005838 0.05765838 1.0000000
## 71.36-62.77 3.000000e-04 -0.05855838 0.05915838 1.0000000
## 71.37-62.77 -5.000000e-03 -0.06385838 0.05385838 1.0000000
## 71.43-62.77 -5.700000e-03 -0.06455838 0.05315838 1.0000000
## 71.5-62.77 -3.400000e-03 -0.06225838 0.05545838 1.0000000
## 71.54-62.77 -1.900000e-03 -0.06075838 0.05695838 1.0000000
## 71.57-62.77 -3.800000e-03 -0.06265838 0.05505838 1.0000000
## 71.64-62.77 2.140000e-02 -0.03745838 0.08025838 0.9830530
## 71.73-62.77 1.110000e-02 -0.04775838 0.06995838 1.0000000
## 71.76-62.77 8.500000e-03 -0.05035838 0.06735838 1.0000000
## 71.82-62.77 1.600000e-03 -0.05725838 0.06045838 1.0000000
## 71.95-62.77 6.600000e-03 -0.05225838 0.06545838 1.0000000
## 72.01-62.77 -6.200000e-03 -0.06505838 0.05265838 1.0000000
## 72.26-62.77 6.200000e-03 -0.05265838 0.06505838 1.0000000
## 72.31-62.77 9.250000e-03 -0.04172286 0.06022286 1.0000000
## 72.34-62.77 6.000000e-03 -0.05285838 0.06485838 1.0000000
## 72.53-62.77 -5.000000e-03 -0.06385838 0.05385838 1.0000000
## 72.71-62.77 1.370000e-02 -0.04515838 0.07255838 1.0000000
## 72.76-62.77 5.900000e-03 -0.05295838 0.06475838 1.0000000
## 72.79-62.77 5.300000e-03 -0.05355838 0.06415838 1.0000000
## 72.81-62.77 5.800000e-03 -0.05305838 0.06465838 1.0000000
## 73.37-62.77 2.000000e-04 -0.05865838 0.05905838 1.0000000
## 73.6-62.77 -9.200000e-03 -0.06805838 0.04965838 1.0000000
## 73.81-62.77 -3.700000e-03 -0.06255838 0.05515838 1.0000000
## 74.05-62.77 -6.000000e-04 -0.05945838 0.05825838 1.0000000
## 65.21-65.1 7.450000e-03 -0.04352286 0.05842286 1.0000000
## 66.34-65.1 5.000000e-04 -0.05835838 0.05935838 1.0000000
## 66.58-65.1 -7.000000e-03 -0.06585838 0.05185838 1.0000000
## 67.36-65.1 1.160000e-02 -0.04725838 0.07045838 1.0000000
## 67.93-65.1 1.560000e-02 -0.04325838 0.07445838 1.0000000
## 68.03-65.1 6.900000e-03 -0.05195838 0.06575838 1.0000000
## 68.08-65.1 -3.500000e-03 -0.06235838 0.05535838 1.0000000
## 68.36-65.1 -5.700000e-03 -0.06455838 0.05315838 1.0000000
## 68.38-65.1 5.900000e-03 -0.05295838 0.06475838 1.0000000
## 68.61-65.1 6.000000e-04 -0.05825838 0.05945838 1.0000000
## 68.62-65.1 -1.800000e-03 -0.05277286 0.04917286 1.0000000
## 68.81-65.1 1.540000e-02 -0.04345838 0.07425838 1.0000000
## 68.93-65.1 4.600000e-03 -0.05425838 0.06345838 1.0000000
## 69.02-65.1 9.300000e-03 -0.04955838 0.06815838 1.0000000
## 69.03-65.1 -4.300000e-03 -0.06315838 0.05455838 1.0000000
## 69.05-65.1 -6.600000e-03 -0.06545838 0.05225838 1.0000000
## 69.11-65.1 9.400000e-03 -0.04945838 0.06825838 1.0000000
## 69.13-65.1 1.000000e-04 -0.05087286 0.05107286 1.0000000
## 69.14-65.1 1.210000e-02 -0.04675838 0.07095838 1.0000000
## 69.19-65.1 -1.220000e-02 -0.07105838 0.04665838 1.0000000
## 69.25-65.1 7.700000e-03 -0.05115838 0.06655838 1.0000000
## 69.26-65.1 3.300000e-03 -0.05555838 0.06215838 1.0000000
## 69.31-65.1 -1.000000e-04 -0.05895838 0.05875838 1.0000000
## 69.36-65.1 -6.100000e-03 -0.06495838 0.05275838 1.0000000
## 69.37-65.1 5.100000e-03 -0.05375838 0.06395838 1.0000000
## 69.44-65.1 -2.000000e-04 -0.05905838 0.05865838 1.0000000
## 69.53-65.1 1.580000e-02 -0.04305838 0.07465838 0.9998342
## 69.61-65.1 -3.200000e-03 -0.06205838 0.05565838 1.0000000
## 69.68-65.1 -1.800000e-03 -0.06065838 0.05705838 1.0000000
## 69.69-65.1 -7.900000e-03 -0.06675838 0.05095838 1.0000000
## 69.74-65.1 -9.000000e-04 -0.05975838 0.05795838 1.0000000
## 69.76-65.1 9.000000e-03 -0.04985838 0.06785838 1.0000000
## 69.81-65.1 -4.400000e-03 -0.06325838 0.05445838 1.0000000
## 69.83-65.1 -2.400000e-03 -0.05337286 0.04857286 1.0000000
## 69.91-65.1 6.600000e-03 -0.05225838 0.06545838 1.0000000
## 69.92-65.1 7.000000e-04 -0.05815838 0.05955838 1.0000000
## 69.95-65.1 5.500000e-03 -0.05335838 0.06435838 1.0000000
## 69.98-65.1 -8.400000e-03 -0.06725838 0.05045838 1.0000000
## 70.05-65.1 2.800000e-03 -0.05605838 0.06165838 1.0000000
## 70.06-65.1 1.390000e-02 -0.04495838 0.07275838 1.0000000
## 70.09-65.1 -1.300000e-03 -0.06015838 0.05755838 1.0000000
## 70.14-65.1 5.400000e-03 -0.05345838 0.06425838 1.0000000
## 70.15-65.1 7.000000e-04 -0.05815838 0.05955838 1.0000000
## 70.2-65.1 -8.600000e-03 -0.06745838 0.05025838 1.0000000
## 70.23-65.1 -7.500000e-03 -0.05847286 0.04347286 1.0000000
## 70.25-65.1 -1.500000e-03 -0.06035838 0.05735838 1.0000000
## 70.3-65.1 1.040000e-02 -0.04845838 0.06925838 1.0000000
## 70.31-65.1 1.120000e-02 -0.04765838 0.07005838 1.0000000
## 70.34-65.1 3.800000e-03 -0.05505838 0.06265838 1.0000000
## 70.45-65.1 6.400000e-03 -0.05245838 0.06525838 1.0000000
## 70.47-65.1 8.700000e-03 -0.05015838 0.06755838 1.0000000
## 70.52-65.1 5.100000e-03 -0.04587286 0.05607286 1.0000000
## 70.53-65.1 -3.100000e-03 -0.06195838 0.05575838 1.0000000
## 70.58-65.1 -4.100000e-03 -0.06295838 0.05475838 1.0000000
## 70.59-65.1 -3.800000e-03 -0.06265838 0.05505838 1.0000000
## 70.63-65.1 6.400000e-03 -0.05245838 0.06525838 1.0000000
## 70.64-65.1 -2.000000e-03 -0.06085838 0.05685838 1.0000000
## 70.68-65.1 3.300000e-03 -0.05555838 0.06215838 1.0000000
## 70.79-65.1 -1.200000e-02 -0.07085838 0.04685838 1.0000000
## 70.84-65.1 -6.400000e-03 -0.06525838 0.05245838 1.0000000
## 70.86-65.1 1.770000e-02 -0.03327286 0.06867286 0.9901817
## 70.89-65.1 -3.400000e-03 -0.06225838 0.05545838 1.0000000
## 70.9-65.1 9.100000e-03 -0.04975838 0.06795838 1.0000000
## 70.92-65.1 3.550000e-03 -0.04742286 0.05452286 1.0000000
## 70.97-65.1 1.700000e-02 -0.04185838 0.07585838 0.9993589
## 70.99-65.1 2.650000e-02 -0.03235838 0.08535838 0.8821218
## 71.02-65.1 -1.000000e-04 -0.05895838 0.05875838 1.0000000
## 71.03-65.1 -4.700000e-03 -0.06355838 0.05415838 1.0000000
## 71.09-65.1 -3.500000e-03 -0.06235838 0.05535838 1.0000000
## 71.14-65.1 -1.000000e-03 -0.05985838 0.05785838 1.0000000
## 71.18-65.1 1.000000e-02 -0.04885838 0.06885838 1.0000000
## 71.31-65.1 -1.400000e-03 -0.06025838 0.05745838 1.0000000
## 71.34-65.1 -3.400000e-03 -0.06225838 0.05545838 1.0000000
## 71.36-65.1 -1.900000e-03 -0.06075838 0.05695838 1.0000000
## 71.37-65.1 -7.200000e-03 -0.06605838 0.05165838 1.0000000
## 71.43-65.1 -7.900000e-03 -0.06675838 0.05095838 1.0000000
## 71.5-65.1 -5.600000e-03 -0.06445838 0.05325838 1.0000000
## 71.54-65.1 -4.100000e-03 -0.06295838 0.05475838 1.0000000
## 71.57-65.1 -6.000000e-03 -0.06485838 0.05285838 1.0000000
## 71.64-65.1 1.920000e-02 -0.03965838 0.07805838 0.9956962
## 71.73-65.1 8.900000e-03 -0.04995838 0.06775838 1.0000000
## 71.76-65.1 6.300000e-03 -0.05255838 0.06515838 1.0000000
## 71.82-65.1 -6.000000e-04 -0.05945838 0.05825838 1.0000000
## 71.95-65.1 4.400000e-03 -0.05445838 0.06325838 1.0000000
## 72.01-65.1 -8.400000e-03 -0.06725838 0.05045838 1.0000000
## 72.26-65.1 4.000000e-03 -0.05485838 0.06285838 1.0000000
## 72.31-65.1 7.050000e-03 -0.04392286 0.05802286 1.0000000
## 72.34-65.1 3.800000e-03 -0.05505838 0.06265838 1.0000000
## 72.53-65.1 -7.200000e-03 -0.06605838 0.05165838 1.0000000
## 72.71-65.1 1.150000e-02 -0.04735838 0.07035838 1.0000000
## 72.76-65.1 3.700000e-03 -0.05515838 0.06255838 1.0000000
## 72.79-65.1 3.100000e-03 -0.05575838 0.06195838 1.0000000
## 72.81-65.1 3.600000e-03 -0.05525838 0.06245838 1.0000000
## 73.37-65.1 -2.000000e-03 -0.06085838 0.05685838 1.0000000
## 73.6-65.1 -1.140000e-02 -0.07025838 0.04745838 1.0000000
## 73.81-65.1 -5.900000e-03 -0.06475838 0.05295838 1.0000000
## 74.05-65.1 -2.800000e-03 -0.06165838 0.05605838 1.0000000
## 66.34-65.21 -6.950000e-03 -0.05792286 0.04402286 1.0000000
## 66.58-65.21 -1.445000e-02 -0.06542286 0.03652286 0.9995389
## 67.36-65.21 4.150000e-03 -0.04682286 0.05512286 1.0000000
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## 71.95-71.64 -1.480000e-02 -0.07365838 0.04405838 1.0000000
## 72.01-71.64 -2.760000e-02 -0.08645838 0.03125838 0.8453470
## 72.26-71.64 -1.520000e-02 -0.07405838 0.04365838 1.0000000
## 72.31-71.64 -1.215000e-02 -0.06312286 0.03882286 1.0000000
## 72.34-71.64 -1.540000e-02 -0.07425838 0.04345838 1.0000000
## 72.53-71.64 -2.640000e-02 -0.08525838 0.03245838 0.8852241
## 72.71-71.64 -7.700000e-03 -0.06655838 0.05115838 1.0000000
## 72.76-71.64 -1.550000e-02 -0.07435838 0.04335838 1.0000000
## 72.79-71.64 -1.610000e-02 -0.07495838 0.04275838 0.9997616
## 72.81-71.64 -1.560000e-02 -0.07445838 0.04325838 1.0000000
## 73.37-71.64 -2.120000e-02 -0.08005838 0.03765838 0.9847789
## 73.6-71.64 -3.060000e-02 -0.08945838 0.02825838 0.7259642
## 73.81-71.64 -2.510000e-02 -0.08395838 0.03375838 0.9215592
## 74.05-71.64 -2.200000e-02 -0.08085838 0.03685838 0.9770188
## 71.76-71.73 -2.600000e-03 -0.06145838 0.05625838 1.0000000
## 71.82-71.73 -9.500000e-03 -0.06835838 0.04935838 1.0000000
## 71.95-71.73 -4.500000e-03 -0.06335838 0.05435838 1.0000000
## 72.01-71.73 -1.730000e-02 -0.07615838 0.04155838 0.9991352
## 72.26-71.73 -4.900000e-03 -0.06375838 0.05395838 1.0000000
## 72.31-71.73 -1.850000e-03 -0.05282286 0.04912286 1.0000000
## 72.34-71.73 -5.100000e-03 -0.06395838 0.05375838 1.0000000
## 72.53-71.73 -1.610000e-02 -0.07495838 0.04275838 0.9997616
## 72.71-71.73 2.600000e-03 -0.05625838 0.06145838 1.0000000
## 72.76-71.73 -5.200000e-03 -0.06405838 0.05365838 1.0000000
## 72.79-71.73 -5.800000e-03 -0.06465838 0.05305838 1.0000000
## 72.81-71.73 -5.300000e-03 -0.06415838 0.05355838 1.0000000
## 73.37-71.73 -1.090000e-02 -0.06975838 0.04795838 1.0000000
## 73.6-71.73 -2.030000e-02 -0.07915838 0.03855838 0.9909802
## 73.81-71.73 -1.480000e-02 -0.07365838 0.04405838 1.0000000
## 74.05-71.73 -1.170000e-02 -0.07055838 0.04715838 1.0000000
## 71.82-71.76 -6.900000e-03 -0.06575838 0.05195838 1.0000000
## 71.95-71.76 -1.900000e-03 -0.06075838 0.05695838 1.0000000
## 72.01-71.76 -1.470000e-02 -0.07355838 0.04415838 1.0000000
## 72.26-71.76 -2.300000e-03 -0.06115838 0.05655838 1.0000000
## 72.31-71.76 7.500000e-04 -0.05022286 0.05172286 1.0000000
## 72.34-71.76 -2.500000e-03 -0.06135838 0.05635838 1.0000000
## 72.53-71.76 -1.350000e-02 -0.07235838 0.04535838 1.0000000
## 72.71-71.76 5.200000e-03 -0.05365838 0.06405838 1.0000000
## 72.76-71.76 -2.600000e-03 -0.06145838 0.05625838 1.0000000
## 72.79-71.76 -3.200000e-03 -0.06205838 0.05565838 1.0000000
## 72.81-71.76 -2.700000e-03 -0.06155838 0.05615838 1.0000000
## 73.37-71.76 -8.300000e-03 -0.06715838 0.05055838 1.0000000
## 73.6-71.76 -1.770000e-02 -0.07655838 0.04115838 0.9987382
## 73.81-71.76 -1.220000e-02 -0.07105838 0.04665838 1.0000000
## 74.05-71.76 -9.100000e-03 -0.06795838 0.04975838 1.0000000
## 71.95-71.82 5.000000e-03 -0.05385838 0.06385838 1.0000000
## 72.01-71.82 -7.800000e-03 -0.06665838 0.05105838 1.0000000
## 72.26-71.82 4.600000e-03 -0.05425838 0.06345838 1.0000000
## 72.31-71.82 7.650000e-03 -0.04332286 0.05862286 1.0000000
## 72.34-71.82 4.400000e-03 -0.05445838 0.06325838 1.0000000
## 72.53-71.82 -6.600000e-03 -0.06545838 0.05225838 1.0000000
## 72.71-71.82 1.210000e-02 -0.04675838 0.07095838 1.0000000
## 72.76-71.82 4.300000e-03 -0.05455838 0.06315838 1.0000000
## 72.79-71.82 3.700000e-03 -0.05515838 0.06255838 1.0000000
## 72.81-71.82 4.200000e-03 -0.05465838 0.06305838 1.0000000
## 73.37-71.82 -1.400000e-03 -0.06025838 0.05745838 1.0000000
## 73.6-71.82 -1.080000e-02 -0.06965838 0.04805838 1.0000000
## 73.81-71.82 -5.300000e-03 -0.06415838 0.05355838 1.0000000
## 74.05-71.82 -2.200000e-03 -0.06105838 0.05665838 1.0000000
## 72.01-71.95 -1.280000e-02 -0.07165838 0.04605838 1.0000000
## 72.26-71.95 -4.000000e-04 -0.05925838 0.05845838 1.0000000
## 72.31-71.95 2.650000e-03 -0.04832286 0.05362286 1.0000000
## 72.34-71.95 -6.000000e-04 -0.05945838 0.05825838 1.0000000
## 72.53-71.95 -1.160000e-02 -0.07045838 0.04725838 1.0000000
## 72.71-71.95 7.100000e-03 -0.05175838 0.06595838 1.0000000
## 72.76-71.95 -7.000000e-04 -0.05955838 0.05815838 1.0000000
## 72.79-71.95 -1.300000e-03 -0.06015838 0.05755838 1.0000000
## 72.81-71.95 -8.000000e-04 -0.05965838 0.05805838 1.0000000
## 73.37-71.95 -6.400000e-03 -0.06525838 0.05245838 1.0000000
## 73.6-71.95 -1.580000e-02 -0.07465838 0.04305838 0.9998342
## 73.81-71.95 -1.030000e-02 -0.06915838 0.04855838 1.0000000
## 74.05-71.95 -7.200000e-03 -0.06605838 0.05165838 1.0000000
## 72.26-72.01 1.240000e-02 -0.04645838 0.07125838 1.0000000
## 72.31-72.01 1.545000e-02 -0.03552286 0.06642286 0.9985675
## 72.34-72.01 1.220000e-02 -0.04665838 0.07105838 1.0000000
## 72.53-72.01 1.200000e-03 -0.05765838 0.06005838 1.0000000
## 72.71-72.01 1.990000e-02 -0.03895838 0.07875838 0.9930128
## 72.76-72.01 1.210000e-02 -0.04675838 0.07095838 1.0000000
## 72.79-72.01 1.150000e-02 -0.04735838 0.07035838 1.0000000
## 72.81-72.01 1.200000e-02 -0.04685838 0.07085838 1.0000000
## 73.37-72.01 6.400000e-03 -0.05245838 0.06525838 1.0000000
## 73.6-72.01 -3.000000e-03 -0.06185838 0.05585838 1.0000000
## 73.81-72.01 2.500000e-03 -0.05635838 0.06135838 1.0000000
## 74.05-72.01 5.600000e-03 -0.05325838 0.06445838 1.0000000
## 72.31-72.26 3.050000e-03 -0.04792286 0.05402286 1.0000000
## 72.34-72.26 -2.000000e-04 -0.05905838 0.05865838 1.0000000
## 72.53-72.26 -1.120000e-02 -0.07005838 0.04765838 1.0000000
## 72.71-72.26 7.500000e-03 -0.05135838 0.06635838 1.0000000
## 72.76-72.26 -3.000000e-04 -0.05915838 0.05855838 1.0000000
## 72.79-72.26 -9.000000e-04 -0.05975838 0.05795838 1.0000000
## 72.81-72.26 -4.000000e-04 -0.05925838 0.05845838 1.0000000
## 73.37-72.26 -6.000000e-03 -0.06485838 0.05285838 1.0000000
## 73.6-72.26 -1.540000e-02 -0.07425838 0.04345838 1.0000000
## 73.81-72.26 -9.900000e-03 -0.06875838 0.04895838 1.0000000
## 74.05-72.26 -6.800000e-03 -0.06565838 0.05205838 1.0000000
## 72.34-72.31 -3.250000e-03 -0.05422286 0.04772286 1.0000000
## 72.53-72.31 -1.425000e-02 -0.06522286 0.03672286 0.9996419
## 72.71-72.31 4.450000e-03 -0.04652286 0.05542286 1.0000000
## 72.76-72.31 -3.350000e-03 -0.05432286 0.04762286 1.0000000
## 72.79-72.31 -3.950000e-03 -0.05492286 0.04702286 1.0000000
## 72.81-72.31 -3.450000e-03 -0.05442286 0.04752286 1.0000000
## 73.37-72.31 -9.050000e-03 -0.06002286 0.04192286 1.0000000
## 73.6-72.31 -1.845000e-02 -0.06942286 0.03252286 0.9838965
## 73.81-72.31 -1.295000e-02 -0.06392286 0.03802286 1.0000000
## 74.05-72.31 -9.850000e-03 -0.06082286 0.04112286 1.0000000
## 72.53-72.34 -1.100000e-02 -0.06985838 0.04785838 1.0000000
## 72.71-72.34 7.700000e-03 -0.05115838 0.06655838 1.0000000
## 72.76-72.34 -1.000000e-04 -0.05895838 0.05875838 1.0000000
## 72.79-72.34 -7.000000e-04 -0.05955838 0.05815838 1.0000000
## 72.81-72.34 -2.000000e-04 -0.05905838 0.05865838 1.0000000
## 73.37-72.34 -5.800000e-03 -0.06465838 0.05305838 1.0000000
## 73.6-72.34 -1.520000e-02 -0.07405838 0.04365838 1.0000000
## 73.81-72.34 -9.700000e-03 -0.06855838 0.04915838 1.0000000
## 74.05-72.34 -6.600000e-03 -0.06545838 0.05225838 1.0000000
## 72.71-72.53 1.870000e-02 -0.04015838 0.07755838 0.9970520
## 72.76-72.53 1.090000e-02 -0.04795838 0.06975838 1.0000000
## 72.79-72.53 1.030000e-02 -0.04855838 0.06915838 1.0000000
## 72.81-72.53 1.080000e-02 -0.04805838 0.06965838 1.0000000
## 73.37-72.53 5.200000e-03 -0.05365838 0.06405838 1.0000000
## 73.6-72.53 -4.200000e-03 -0.06305838 0.05465838 1.0000000
## 73.81-72.53 1.300000e-03 -0.05755838 0.06015838 1.0000000
## 74.05-72.53 4.400000e-03 -0.05445838 0.06325838 1.0000000
## 72.76-72.71 -7.800000e-03 -0.06665838 0.05105838 1.0000000
## 72.79-72.71 -8.400000e-03 -0.06725838 0.05045838 1.0000000
## 72.81-72.71 -7.900000e-03 -0.06675838 0.05095838 1.0000000
## 73.37-72.71 -1.350000e-02 -0.07235838 0.04535838 1.0000000
## 73.6-72.71 -2.290000e-02 -0.08175838 0.03595838 0.9653185
## 73.81-72.71 -1.740000e-02 -0.07625838 0.04145838 0.9990474
## 74.05-72.71 -1.430000e-02 -0.07315838 0.04455838 1.0000000
## 72.79-72.76 -6.000000e-04 -0.05945838 0.05825838 1.0000000
## 72.81-72.76 -1.000000e-04 -0.05895838 0.05875838 1.0000000
## 73.37-72.76 -5.700000e-03 -0.06455838 0.05315838 1.0000000
## 73.6-72.76 -1.510000e-02 -0.07395838 0.04375838 1.0000000
## 73.81-72.76 -9.600000e-03 -0.06845838 0.04925838 1.0000000
## 74.05-72.76 -6.500000e-03 -0.06535838 0.05235838 1.0000000
## 72.81-72.79 5.000000e-04 -0.05835838 0.05935838 1.0000000
## 73.37-72.79 -5.100000e-03 -0.06395838 0.05375838 1.0000000
## 73.6-72.79 -1.450000e-02 -0.07335838 0.04435838 1.0000000
## 73.81-72.79 -9.000000e-03 -0.06785838 0.04985838 1.0000000
## 74.05-72.79 -5.900000e-03 -0.06475838 0.05295838 1.0000000
## 73.37-72.81 -5.600000e-03 -0.06445838 0.05325838 1.0000000
## 73.6-72.81 -1.500000e-02 -0.07385838 0.04385838 1.0000000
## 73.81-72.81 -9.500000e-03 -0.06835838 0.04935838 1.0000000
## 74.05-72.81 -6.400000e-03 -0.06525838 0.05245838 1.0000000
## 73.6-73.37 -9.400000e-03 -0.06825838 0.04945838 1.0000000
## 73.81-73.37 -3.900000e-03 -0.06275838 0.05495838 1.0000000
## 74.05-73.37 -8.000000e-04 -0.05965838 0.05805838 1.0000000
## 73.81-73.6 5.500000e-03 -0.05335838 0.06435838 1.0000000
## 74.05-73.6 8.600000e-03 -0.05025838 0.06745838 1.0000000
## 74.05-73.81 3.100000e-03 -0.05575838 0.06195838 1.0000000TukeyHSD(anova_Diam)## Tukey multiple comparisons of means
## 95% family-wise confidence level
##
## Fit: aov(formula = Diam ~ L, data = data_lab)
##
## $L
## diff lwr upr p adj
## 65.1-62.77 1.000000e-03 -0.014613081 0.016613081 1.0000000
## 65.21-62.77 1.694500e-03 -0.011826825 0.015215825 1.0000000
## 66.34-62.77 1.313000e-03 -0.014300081 0.016926081 1.0000000
## 66.58-62.77 -2.249000e-03 -0.017862081 0.013364081 1.0000000
## 67.36-62.77 4.063000e-03 -0.011550081 0.019676081 1.0000000
## 67.93-62.77 6.225000e-03 -0.009388081 0.021838081 0.9561652
## 68.03-62.77 3.700000e-03 -0.011913081 0.019313081 1.0000000
## 68.08-62.77 -7.620000e-04 -0.016375081 0.014851081 1.0000000
## 68.36-62.77 -1.299000e-03 -0.016912081 0.014314081 1.0000000
## 68.38-62.77 1.688000e-03 -0.013925081 0.017301081 1.0000000
## 68.61-62.77 2.488000e-03 -0.013125081 0.018101081 1.0000000
## 68.62-62.77 -4.120000e-04 -0.013933325 0.013109325 1.0000000
## 68.81-62.77 5.400000e-03 -0.010213081 0.021013081 0.9906572
## 68.93-62.77 1.063000e-03 -0.014550081 0.016676081 1.0000000
## 69.02-62.77 1.651000e-03 -0.013962081 0.017264081 1.0000000
## 69.03-62.77 5.000000e-04 -0.015113081 0.016113081 1.0000000
## 69.05-62.77 -2.000000e-04 -0.015813081 0.015413081 1.0000000
## 69.11-62.77 2.613000e-03 -0.013000081 0.018226081 1.0000000
## 69.13-62.77 5.505000e-04 -0.012970825 0.014071825 1.0000000
## 69.14-62.77 3.676000e-03 -0.011937081 0.019289081 1.0000000
## 69.19-62.77 -2.737000e-03 -0.018350081 0.012876081 1.0000000
## 69.25-62.77 3.788000e-03 -0.011825081 0.019401081 1.0000000
## 69.26-62.77 2.413000e-03 -0.013200081 0.018026081 1.0000000
## 69.31-62.77 -2.240000e-04 -0.015837081 0.015389081 1.0000000
## 69.36-62.77 -1.937000e-03 -0.017550081 0.013676081 1.0000000
## 69.37-62.77 2.101000e-03 -0.013512081 0.017714081 1.0000000
## 69.44-62.77 -5.750000e-04 -0.016188081 0.015038081 1.0000000
## 69.53-62.77 2.625000e-03 -0.012988081 0.018238081 1.0000000
## 69.61-62.77 -1.924000e-03 -0.017537081 0.013689081 1.0000000
## 69.68-62.77 -5.620000e-04 -0.016175081 0.015051081 1.0000000
## 69.69-62.77 -2.987000e-03 -0.018600081 0.012626081 1.0000000
## 69.74-62.77 7.010000e-04 -0.014912081 0.016314081 1.0000000
## 69.76-62.77 3.376000e-03 -0.012237081 0.018989081 1.0000000
## 69.81-62.77 -2.870000e-04 -0.015900081 0.015326081 1.0000000
## 69.83-62.77 6.880000e-04 -0.012833325 0.014209325 1.0000000
## 69.91-62.77 2.738000e-03 -0.012875081 0.018351081 1.0000000
## 69.92-62.77 1.063000e-03 -0.014550081 0.016676081 1.0000000
## 69.95-62.77 3.213000e-03 -0.012400081 0.018826081 1.0000000
## 69.98-62.77 -1.775000e-03 -0.017388081 0.013838081 1.0000000
## 70.05-62.77 5.000000e-04 -0.015113081 0.016113081 1.0000000
## 70.06-62.77 3.926000e-03 -0.011687081 0.019539081 1.0000000
## 70.09-62.77 2.380000e-04 -0.015375081 0.015851081 1.0000000
## 70.14-62.77 3.613000e-03 -0.012000081 0.019226081 1.0000000
## 70.15-62.77 7.010000e-04 -0.014912081 0.016314081 1.0000000
## 70.2-62.77 -2.362000e-03 -0.017975081 0.013251081 1.0000000
## 70.23-62.77 -1.962000e-03 -0.015483325 0.011559325 1.0000000
## 70.25-62.77 1.238000e-03 -0.014375081 0.016851081 1.0000000
## 70.3-62.77 3.351000e-03 -0.012262081 0.018964081 1.0000000
## 70.31-62.77 3.176000e-03 -0.012437081 0.018789081 1.0000000
## 70.34-62.77 1.413000e-03 -0.014200081 0.017026081 1.0000000
## 70.45-62.77 1.500000e-03 -0.014113081 0.017113081 1.0000000
## 70.47-62.77 3.788000e-03 -0.011825081 0.019401081 1.0000000
## 70.52-62.77 2.419000e-03 -0.011102325 0.015940325 1.0000000
## 70.53-62.77 -1.162000e-03 -0.016775081 0.014451081 1.0000000
## 70.58-62.77 1.588000e-03 -0.014025081 0.017201081 1.0000000
## 70.59-62.77 -1.275000e-03 -0.016888081 0.014338081 1.0000000
## 70.63-62.77 1.026000e-03 -0.014587081 0.016639081 1.0000000
## 70.64-62.77 3.750000e-04 -0.015238081 0.015988081 1.0000000
## 70.68-62.77 4.380000e-04 -0.015175081 0.016051081 1.0000000
## 70.79-62.77 -3.837000e-03 -0.019450081 0.011776081 1.0000000
## 70.84-62.77 -1.787000e-03 -0.017400081 0.013826081 1.0000000
## 70.86-62.77 5.838000e-03 -0.007683325 0.019359325 0.9135118
## 70.89-62.77 -4.500000e-04 -0.016063081 0.015163081 1.0000000
## 70.9-62.77 4.426000e-03 -0.011187081 0.020039081 0.9995391
## 70.92-62.77 9.820000e-04 -0.012539325 0.014503325 1.0000000
## 70.97-62.77 4.376000e-03 -0.011237081 0.019989081 0.9996247
## 70.99-62.77 8.000000e-03 -0.007613081 0.023613081 0.7447819
## 71.02-62.77 -5.250000e-04 -0.016138081 0.015088081 1.0000000
## 71.03-62.77 -4.900000e-05 -0.015662081 0.015564081 1.0000000
## 71.09-62.77 8.750000e-04 -0.014738081 0.016488081 1.0000000
## 71.14-62.77 1.750000e-04 -0.015438081 0.015788081 1.0000000
## 71.18-62.77 3.101000e-03 -0.012512081 0.018714081 1.0000000
## 71.31-62.77 -1.312000e-03 -0.016925081 0.014301081 1.0000000
## 71.34-62.77 -4.870000e-04 -0.016100081 0.015126081 1.0000000
## 71.36-62.77 1.438000e-03 -0.014175081 0.017051081 1.0000000
## 71.37-62.77 -2.249000e-03 -0.017862081 0.013364081 1.0000000
## 71.43-62.77 -1.262000e-03 -0.016875081 0.014351081 1.0000000
## 71.5-62.77 -5.370000e-04 -0.016150081 0.015076081 1.0000000
## 71.54-62.77 -3.250000e-04 -0.015938081 0.015288081 1.0000000
## 71.57-62.77 -2.749000e-03 -0.018362081 0.012864081 1.0000000
## 71.64-62.77 5.001000e-03 -0.010612081 0.020614081 0.9966806
## 71.73-62.77 1.688000e-03 -0.013925081 0.017301081 1.0000000
## 71.76-62.77 2.325000e-03 -0.013288081 0.017938081 1.0000000
## 71.82-62.77 4.130000e-04 -0.015200081 0.016026081 1.0000000
## 71.95-62.77 2.263000e-03 -0.013350081 0.017876081 1.0000000
## 72.01-62.77 -2.487000e-03 -0.018100081 0.013126081 1.0000000
## 72.26-62.77 2.263000e-03 -0.013350081 0.017876081 1.0000000
## 72.31-62.77 2.694000e-03 -0.010827325 0.016215325 1.0000000
## 72.34-62.77 2.000000e-03 -0.013613081 0.017613081 1.0000000
## 72.53-62.77 -1.187000e-03 -0.016800081 0.014426081 1.0000000
## 72.71-62.77 2.363000e-03 -0.013250081 0.017976081 1.0000000
## 72.76-62.77 3.251000e-03 -0.012362081 0.018864081 1.0000000
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## 72.79-71.43 2.475000e-03 -0.013138081 0.018088081 1.0000000
## 72.81-71.43 2.437000e-03 -0.013176081 0.018050081 1.0000000
## 73.37-71.43 2.062000e-03 -0.013551081 0.017675081 1.0000000
## 73.6-71.43 -1.575000e-03 -0.017188081 0.014038081 1.0000000
## 73.81-71.43 4.750000e-04 -0.015138081 0.016088081 1.0000000
## 74.05-71.43 1.038000e-03 -0.014575081 0.016651081 1.0000000
## 71.54-71.5 2.120000e-04 -0.015401081 0.015825081 1.0000000
## 71.57-71.5 -2.212000e-03 -0.017825081 0.013401081 1.0000000
## 71.64-71.5 5.538000e-03 -0.010075081 0.021151081 0.9872855
## 71.73-71.5 2.225000e-03 -0.013388081 0.017838081 1.0000000
## 71.76-71.5 2.862000e-03 -0.012751081 0.018475081 1.0000000
## 71.82-71.5 9.500000e-04 -0.014663081 0.016563081 1.0000000
## 71.95-71.5 2.800000e-03 -0.012813081 0.018413081 1.0000000
## 72.01-71.5 -1.950000e-03 -0.017563081 0.013663081 1.0000000
## 72.26-71.5 2.800000e-03 -0.012813081 0.018413081 1.0000000
## 72.31-71.5 3.231000e-03 -0.010290325 0.016752325 1.0000000
## 72.34-71.5 2.537000e-03 -0.013076081 0.018150081 1.0000000
## 72.53-71.5 -6.500000e-04 -0.016263081 0.014963081 1.0000000
## 72.71-71.5 2.900000e-03 -0.012713081 0.018513081 1.0000000
## 72.76-71.5 3.788000e-03 -0.011825081 0.019401081 1.0000000
## 72.79-71.5 1.750000e-03 -0.013863081 0.017363081 1.0000000
## 72.81-71.5 1.712000e-03 -0.013901081 0.017325081 1.0000000
## 73.37-71.5 1.337000e-03 -0.014276081 0.016950081 1.0000000
## 73.6-71.5 -2.300000e-03 -0.017913081 0.013313081 1.0000000
## 73.81-71.5 -2.500000e-04 -0.015863081 0.015363081 1.0000000
## 74.05-71.5 3.130000e-04 -0.015300081 0.015926081 1.0000000
## 71.57-71.54 -2.424000e-03 -0.018037081 0.013189081 1.0000000
## 71.64-71.54 5.326000e-03 -0.010287081 0.020939081 0.9921575
## 71.73-71.54 2.013000e-03 -0.013600081 0.017626081 1.0000000
## 71.76-71.54 2.650000e-03 -0.012963081 0.018263081 1.0000000
## 71.82-71.54 7.380000e-04 -0.014875081 0.016351081 1.0000000
## 71.95-71.54 2.588000e-03 -0.013025081 0.018201081 1.0000000
## 72.01-71.54 -2.162000e-03 -0.017775081 0.013451081 1.0000000
## 72.26-71.54 2.588000e-03 -0.013025081 0.018201081 1.0000000
## 72.31-71.54 3.019000e-03 -0.010502325 0.016540325 1.0000000
## 72.34-71.54 2.325000e-03 -0.013288081 0.017938081 1.0000000
## 72.53-71.54 -8.620000e-04 -0.016475081 0.014751081 1.0000000
## 72.71-71.54 2.688000e-03 -0.012925081 0.018301081 1.0000000
## 72.76-71.54 3.576000e-03 -0.012037081 0.019189081 1.0000000
## 72.79-71.54 1.538000e-03 -0.014075081 0.017151081 1.0000000
## 72.81-71.54 1.500000e-03 -0.014113081 0.017113081 1.0000000
## 73.37-71.54 1.125000e-03 -0.014488081 0.016738081 1.0000000
## 73.6-71.54 -2.512000e-03 -0.018125081 0.013101081 1.0000000
## 73.81-71.54 -4.620000e-04 -0.016075081 0.015151081 1.0000000
## 74.05-71.54 1.010000e-04 -0.015512081 0.015714081 1.0000000
## 71.64-71.57 7.750000e-03 -0.007863081 0.023363081 0.7837796
## 71.73-71.57 4.437000e-03 -0.011176081 0.020050081 0.9995181
## 71.76-71.57 5.074000e-03 -0.010539081 0.020687081 0.9959173
## 71.82-71.57 3.162000e-03 -0.012451081 0.018775081 1.0000000
## 71.95-71.57 5.012000e-03 -0.010601081 0.020625081 0.9965735
## 72.01-71.57 2.620000e-04 -0.015351081 0.015875081 1.0000000
## 72.26-71.57 5.012000e-03 -0.010601081 0.020625081 0.9965735
## 72.31-71.57 5.443000e-03 -0.008078325 0.018964325 0.9521079
## 72.34-71.57 4.749000e-03 -0.010864081 0.020362081 0.9984851
## 72.53-71.57 1.562000e-03 -0.014051081 0.017175081 1.0000000
## 72.71-71.57 5.112000e-03 -0.010501081 0.020725081 0.9954680
## 72.76-71.57 6.000000e-03 -0.009613081 0.021613081 0.9693346
## 72.79-71.57 3.962000e-03 -0.011651081 0.019575081 1.0000000
## 72.81-71.57 3.924000e-03 -0.011689081 0.019537081 1.0000000
## 73.37-71.57 3.549000e-03 -0.012064081 0.019162081 1.0000000
## 73.6-71.57 -8.800000e-05 -0.015701081 0.015525081 1.0000000
## 73.81-71.57 1.962000e-03 -0.013651081 0.017575081 1.0000000
## 74.05-71.57 2.525000e-03 -0.013088081 0.018138081 1.0000000
## 71.73-71.64 -3.313000e-03 -0.018926081 0.012300081 1.0000000
## 71.76-71.64 -2.676000e-03 -0.018289081 0.012937081 1.0000000
## 71.82-71.64 -4.588000e-03 -0.020201081 0.011025081 0.9991387
## 71.95-71.64 -2.738000e-03 -0.018351081 0.012875081 1.0000000
## 72.01-71.64 -7.488000e-03 -0.023101081 0.008125081 0.8223537
## 72.26-71.64 -2.738000e-03 -0.018351081 0.012875081 1.0000000
## 72.31-71.64 -2.307000e-03 -0.015828325 0.011214325 1.0000000
## 72.34-71.64 -3.001000e-03 -0.018614081 0.012612081 1.0000000
## 72.53-71.64 -6.188000e-03 -0.021801081 0.009425081 0.9585497
## 72.71-71.64 -2.638000e-03 -0.018251081 0.012975081 1.0000000
## 72.76-71.64 -1.750000e-03 -0.017363081 0.013863081 1.0000000
## 72.79-71.64 -3.788000e-03 -0.019401081 0.011825081 1.0000000
## 72.81-71.64 -3.826000e-03 -0.019439081 0.011787081 1.0000000
## 73.37-71.64 -4.201000e-03 -0.019814081 0.011412081 0.9998264
## 73.6-71.64 -7.838000e-03 -0.023451081 0.007775081 0.7702620
## 73.81-71.64 -5.788000e-03 -0.021401081 0.009825081 0.9789726
## 74.05-71.64 -5.225000e-03 -0.020838081 0.010388081 0.9938966
## 71.76-71.73 6.370000e-04 -0.014976081 0.016250081 1.0000000
## 71.82-71.73 -1.275000e-03 -0.016888081 0.014338081 1.0000000
## 71.95-71.73 5.750000e-04 -0.015038081 0.016188081 1.0000000
## 72.01-71.73 -4.175000e-03 -0.019788081 0.011438081 0.9998463
## 72.26-71.73 5.750000e-04 -0.015038081 0.016188081 1.0000000
## 72.31-71.73 1.006000e-03 -0.012515325 0.014527325 1.0000000
## 72.34-71.73 3.120000e-04 -0.015301081 0.015925081 1.0000000
## 72.53-71.73 -2.875000e-03 -0.018488081 0.012738081 1.0000000
## 72.71-71.73 6.750000e-04 -0.014938081 0.016288081 1.0000000
## 72.76-71.73 1.563000e-03 -0.014050081 0.017176081 1.0000000
## 72.79-71.73 -4.750000e-04 -0.016088081 0.015138081 1.0000000
## 72.81-71.73 -5.130000e-04 -0.016126081 0.015100081 1.0000000
## 73.37-71.73 -8.880000e-04 -0.016501081 0.014725081 1.0000000
## 73.6-71.73 -4.525000e-03 -0.020138081 0.011088081 0.9993197
## 73.81-71.73 -2.475000e-03 -0.018088081 0.013138081 1.0000000
## 74.05-71.73 -1.912000e-03 -0.017525081 0.013701081 1.0000000
## 71.82-71.76 -1.912000e-03 -0.017525081 0.013701081 1.0000000
## 71.95-71.76 -6.200000e-05 -0.015675081 0.015551081 1.0000000
## 72.01-71.76 -4.812000e-03 -0.020425081 0.010801081 0.9981369
## 72.26-71.76 -6.200000e-05 -0.015675081 0.015551081 1.0000000
## 72.31-71.76 3.690000e-04 -0.013152325 0.013890325 1.0000000
## 72.34-71.76 -3.250000e-04 -0.015938081 0.015288081 1.0000000
## 72.53-71.76 -3.512000e-03 -0.019125081 0.012101081 1.0000000
## 72.71-71.76 3.800000e-05 -0.015575081 0.015651081 1.0000000
## 72.76-71.76 9.260000e-04 -0.014687081 0.016539081 1.0000000
## 72.79-71.76 -1.112000e-03 -0.016725081 0.014501081 1.0000000
## 72.81-71.76 -1.150000e-03 -0.016763081 0.014463081 1.0000000
## 73.37-71.76 -1.525000e-03 -0.017138081 0.014088081 1.0000000
## 73.6-71.76 -5.162000e-03 -0.020775081 0.010451081 0.9948179
## 73.81-71.76 -3.112000e-03 -0.018725081 0.012501081 1.0000000
## 74.05-71.76 -2.549000e-03 -0.018162081 0.013064081 1.0000000
## 71.95-71.82 1.850000e-03 -0.013763081 0.017463081 1.0000000
## 72.01-71.82 -2.900000e-03 -0.018513081 0.012713081 1.0000000
## 72.26-71.82 1.850000e-03 -0.013763081 0.017463081 1.0000000
## 72.31-71.82 2.281000e-03 -0.011240325 0.015802325 1.0000000
## 72.34-71.82 1.587000e-03 -0.014026081 0.017200081 1.0000000
## 72.53-71.82 -1.600000e-03 -0.017213081 0.014013081 1.0000000
## 72.71-71.82 1.950000e-03 -0.013663081 0.017563081 1.0000000
## 72.76-71.82 2.838000e-03 -0.012775081 0.018451081 1.0000000
## 72.79-71.82 8.000000e-04 -0.014813081 0.016413081 1.0000000
## 72.81-71.82 7.620000e-04 -0.014851081 0.016375081 1.0000000
## 73.37-71.82 3.870000e-04 -0.015226081 0.016000081 1.0000000
## 73.6-71.82 -3.250000e-03 -0.018863081 0.012363081 1.0000000
## 73.81-71.82 -1.200000e-03 -0.016813081 0.014413081 1.0000000
## 74.05-71.82 -6.370000e-04 -0.016250081 0.014976081 1.0000000
## 72.01-71.95 -4.750000e-03 -0.020363081 0.010863081 0.9984800
## 72.26-71.95 0.000000e+00 -0.015613081 0.015613081 1.0000000
## 72.31-71.95 4.310000e-04 -0.013090325 0.013952325 1.0000000
## 72.34-71.95 -2.630000e-04 -0.015876081 0.015350081 1.0000000
## 72.53-71.95 -3.450000e-03 -0.019063081 0.012163081 1.0000000
## 72.71-71.95 1.000000e-04 -0.015513081 0.015713081 1.0000000
## 72.76-71.95 9.880000e-04 -0.014625081 0.016601081 1.0000000
## 72.79-71.95 -1.050000e-03 -0.016663081 0.014563081 1.0000000
## 72.81-71.95 -1.088000e-03 -0.016701081 0.014525081 1.0000000
## 73.37-71.95 -1.463000e-03 -0.017076081 0.014150081 1.0000000
## 73.6-71.95 -5.100000e-03 -0.020713081 0.010513081 0.9956139
## 73.81-71.95 -3.050000e-03 -0.018663081 0.012563081 1.0000000
## 74.05-71.95 -2.487000e-03 -0.018100081 0.013126081 1.0000000
## 72.26-72.01 4.750000e-03 -0.010863081 0.020363081 0.9984800
## 72.31-72.01 5.181000e-03 -0.008340325 0.018702325 0.9702282
## 72.34-72.01 4.487000e-03 -0.011126081 0.020100081 0.9994125
## 72.53-72.01 1.300000e-03 -0.014313081 0.016913081 1.0000000
## 72.71-72.01 4.850000e-03 -0.010763081 0.020463081 0.9978968
## 72.76-72.01 5.738000e-03 -0.009875081 0.021351081 0.9808843
## 72.79-72.01 3.700000e-03 -0.011913081 0.019313081 1.0000000
## 72.81-72.01 3.662000e-03 -0.011951081 0.019275081 1.0000000
## 73.37-72.01 3.287000e-03 -0.012326081 0.018900081 1.0000000
## 73.6-72.01 -3.500000e-04 -0.015963081 0.015263081 1.0000000
## 73.81-72.01 1.700000e-03 -0.013913081 0.017313081 1.0000000
## 74.05-72.01 2.263000e-03 -0.013350081 0.017876081 1.0000000
## 72.31-72.26 4.310000e-04 -0.013090325 0.013952325 1.0000000
## 72.34-72.26 -2.630000e-04 -0.015876081 0.015350081 1.0000000
## 72.53-72.26 -3.450000e-03 -0.019063081 0.012163081 1.0000000
## 72.71-72.26 1.000000e-04 -0.015513081 0.015713081 1.0000000
## 72.76-72.26 9.880000e-04 -0.014625081 0.016601081 1.0000000
## 72.79-72.26 -1.050000e-03 -0.016663081 0.014563081 1.0000000
## 72.81-72.26 -1.088000e-03 -0.016701081 0.014525081 1.0000000
## 73.37-72.26 -1.463000e-03 -0.017076081 0.014150081 1.0000000
## 73.6-72.26 -5.100000e-03 -0.020713081 0.010513081 0.9956139
## 73.81-72.26 -3.050000e-03 -0.018663081 0.012563081 1.0000000
## 74.05-72.26 -2.487000e-03 -0.018100081 0.013126081 1.0000000
## 72.34-72.31 -6.940000e-04 -0.014215325 0.012827325 1.0000000
## 72.53-72.31 -3.881000e-03 -0.017402325 0.009640325 0.9994253
## 72.71-72.31 -3.310000e-04 -0.013852325 0.013190325 1.0000000
## 72.76-72.31 5.570000e-04 -0.012964325 0.014078325 1.0000000
## 72.79-72.31 -1.481000e-03 -0.015002325 0.012040325 1.0000000
## 72.81-72.31 -1.519000e-03 -0.015040325 0.012002325 1.0000000
## 73.37-72.31 -1.894000e-03 -0.015415325 0.011627325 1.0000000
## 73.6-72.31 -5.531000e-03 -0.019052325 0.007990325 0.9447032
## 73.81-72.31 -3.481000e-03 -0.017002325 0.010040325 1.0000000
## 74.05-72.31 -2.918000e-03 -0.016439325 0.010603325 1.0000000
## 72.53-72.34 -3.187000e-03 -0.018800081 0.012426081 1.0000000
## 72.71-72.34 3.630000e-04 -0.015250081 0.015976081 1.0000000
## 72.76-72.34 1.251000e-03 -0.014362081 0.016864081 1.0000000
## 72.79-72.34 -7.870000e-04 -0.016400081 0.014826081 1.0000000
## 72.81-72.34 -8.250000e-04 -0.016438081 0.014788081 1.0000000
## 73.37-72.34 -1.200000e-03 -0.016813081 0.014413081 1.0000000
## 73.6-72.34 -4.837000e-03 -0.020450081 0.010776081 0.9979816
## 73.81-72.34 -2.787000e-03 -0.018400081 0.012826081 1.0000000
## 74.05-72.34 -2.224000e-03 -0.017837081 0.013389081 1.0000000
## 72.71-72.53 3.550000e-03 -0.012063081 0.019163081 1.0000000
## 72.76-72.53 4.438000e-03 -0.011175081 0.020051081 0.9995162
## 72.79-72.53 2.400000e-03 -0.013213081 0.018013081 1.0000000
## 72.81-72.53 2.362000e-03 -0.013251081 0.017975081 1.0000000
## 73.37-72.53 1.987000e-03 -0.013626081 0.017600081 1.0000000
## 73.6-72.53 -1.650000e-03 -0.017263081 0.013963081 1.0000000
## 73.81-72.53 4.000000e-04 -0.015213081 0.016013081 1.0000000
## 74.05-72.53 9.630000e-04 -0.014650081 0.016576081 1.0000000
## 72.76-72.71 8.880000e-04 -0.014725081 0.016501081 1.0000000
## 72.79-72.71 -1.150000e-03 -0.016763081 0.014463081 1.0000000
## 72.81-72.71 -1.188000e-03 -0.016801081 0.014425081 1.0000000
## 73.37-72.71 -1.563000e-03 -0.017176081 0.014050081 1.0000000
## 73.6-72.71 -5.200000e-03 -0.020813081 0.010413081 0.9942764
## 73.81-72.71 -3.150000e-03 -0.018763081 0.012463081 1.0000000
## 74.05-72.71 -2.587000e-03 -0.018200081 0.013026081 1.0000000
## 72.79-72.76 -2.038000e-03 -0.017651081 0.013575081 1.0000000
## 72.81-72.76 -2.076000e-03 -0.017689081 0.013537081 1.0000000
## 73.37-72.76 -2.451000e-03 -0.018064081 0.013162081 1.0000000
## 73.6-72.76 -6.088000e-03 -0.021701081 0.009525081 0.9645593
## 73.81-72.76 -4.038000e-03 -0.019651081 0.011575081 1.0000000
## 74.05-72.76 -3.475000e-03 -0.019088081 0.012138081 1.0000000
## 72.81-72.79 -3.800000e-05 -0.015651081 0.015575081 1.0000000
## 73.37-72.79 -4.130000e-04 -0.016026081 0.015200081 1.0000000
## 73.6-72.79 -4.050000e-03 -0.019663081 0.011563081 1.0000000
## 73.81-72.79 -2.000000e-03 -0.017613081 0.013613081 1.0000000
## 74.05-72.79 -1.437000e-03 -0.017050081 0.014176081 1.0000000
## 73.37-72.81 -3.750000e-04 -0.015988081 0.015238081 1.0000000
## 73.6-72.81 -4.012000e-03 -0.019625081 0.011601081 1.0000000
## 73.81-72.81 -1.962000e-03 -0.017575081 0.013651081 1.0000000
## 74.05-72.81 -1.399000e-03 -0.017012081 0.014214081 1.0000000
## 73.6-73.37 -3.637000e-03 -0.019250081 0.011976081 1.0000000
## 73.81-73.37 -1.587000e-03 -0.017200081 0.014026081 1.0000000
## 74.05-73.37 -1.024000e-03 -0.016637081 0.014589081 1.0000000
## 73.81-73.6 2.050000e-03 -0.013563081 0.017663081 1.0000000
## 74.05-73.6 2.613000e-03 -0.013000081 0.018226081 1.0000000
## 74.05-73.81 5.630000e-04 -0.015050081 0.016176081 1.0000000TukeyHSD(anova_Malate)## Tukey multiple comparisons of means
## 95% family-wise confidence level
##
## Fit: aov(formula = Malate ~ L, data = data_lab)
##
## $L
## diff lwr upr p adj
## 65.1-62.77 4.170000e+00 -35.94956 44.28956 1.0000000
## 65.21-62.77 4.340000e+00 -30.40456 39.08456 1.0000000
## 66.34-62.77 1.059000e+01 -29.52956 50.70956 1.0000000
## 66.58-62.77 4.830000e+00 -35.28956 44.94956 1.0000000
## 67.36-62.77 7.500000e-01 -39.36956 40.86956 1.0000000
## 67.93-62.77 4.910000e+00 -35.20956 45.02956 1.0000000
## 68.03-62.77 -1.690000e+00 -41.80956 38.42956 1.0000000
## 68.08-62.77 -4.000000e-02 -40.15956 40.07956 1.0000000
## 68.36-62.77 6.600000e+00 -33.51956 46.71956 1.0000000
## 68.38-62.77 1.320000e+00 -38.79956 41.43956 1.0000000
## 68.61-62.77 -1.300000e+00 -41.41956 38.81956 1.0000000
## 68.62-62.77 3.800000e-01 -34.36456 35.12456 1.0000000
## 68.81-62.77 4.200000e+00 -35.91956 44.31956 1.0000000
## 68.93-62.77 8.640000e+00 -31.47956 48.75956 1.0000000
## 69.02-62.77 5.220000e+00 -34.89956 45.33956 1.0000000
## 69.03-62.77 4.300000e-01 -39.68956 40.54956 1.0000000
## 69.05-62.77 -1.660000e+00 -41.77956 38.45956 1.0000000
## 69.11-62.77 6.300000e+00 -33.81956 46.41956 1.0000000
## 69.13-62.77 4.090000e+00 -30.65456 38.83456 1.0000000
## 69.14-62.77 -4.370000e+00 -44.48956 35.74956 1.0000000
## 69.19-62.77 2.280000e+00 -37.83956 42.39956 1.0000000
## 69.25-62.77 7.000000e-01 -39.41956 40.81956 1.0000000
## 69.26-62.77 1.250000e+00 -38.86956 41.36956 1.0000000
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## 72.81-72.79 -2.410000e+00 -42.52956 37.70956 1.0000000
## 73.37-72.79 -2.410000e+00 -42.52956 37.70956 1.0000000
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## 73.81-72.79 -2.870000e+00 -42.98956 37.24956 1.0000000
## 74.05-72.79 -1.290000e+00 -41.40956 38.82956 1.0000000
## 73.37-72.81 0.000000e+00 -40.11956 40.11956 1.0000000
## 73.6-72.81 -1.820000e+00 -41.93956 38.29956 1.0000000
## 73.81-72.81 -4.600000e-01 -40.57956 39.65956 1.0000000
## 74.05-72.81 1.120000e+00 -38.99956 41.23956 1.0000000
## 73.6-73.37 -1.820000e+00 -41.93956 38.29956 1.0000000
## 73.81-73.37 -4.600000e-01 -40.57956 39.65956 1.0000000
## 74.05-73.37 1.120000e+00 -38.99956 41.23956 1.0000000
## 73.81-73.6 1.360000e+00 -38.75956 41.47956 1.0000000
## 74.05-73.6 2.940000e+00 -37.17956 43.05956 1.0000000
## 74.05-73.81 1.580000e+00 -38.53956 41.69956 1.0000000TukeyHSD(anova_Glucose)## Tukey multiple comparisons of means
## 95% family-wise confidence level
##
## Fit: aov(formula = Glucose ~ L, data = data_lab)
##
## $L
## diff lwr upr p adj
## 65.1-62.77 -2.400000e-01 -5.772931 5.292931 1.0000000
## 65.21-62.77 -4.800000e-01 -5.271659 4.311659 1.0000000
## 66.34-62.77 -8.000000e-02 -5.612931 5.452931 1.0000000
## 66.58-62.77 -1.700000e-01 -5.702931 5.362931 1.0000000
## 67.36-62.77 5.600000e-01 -4.972931 6.092931 1.0000000
## 67.93-62.77 1.200000e-01 -5.412931 5.652931 1.0000000
## 68.03-62.77 1.390000e+00 -4.142931 6.922931 1.0000000
## 68.08-62.77 -2.200000e-01 -5.752931 5.312931 1.0000000
## 68.36-62.77 -3.800000e-01 -5.912931 5.152931 1.0000000
## 68.38-62.77 -1.200000e-01 -5.652931 5.412931 1.0000000
## 68.61-62.77 1.810000e+00 -3.722931 7.342931 0.9955227
## 68.62-62.77 -1.600000e-01 -4.951659 4.631659 1.0000000
## 68.81-62.77 -3.600000e-01 -5.892931 5.172931 1.0000000
## 68.93-62.77 -6.100000e-01 -6.142931 4.922931 1.0000000
## 69.02-62.77 -4.700000e-01 -6.002931 5.062931 1.0000000
## 69.03-62.77 1.930000e+00 -3.602931 7.462931 0.9896160
## 69.05-62.77 2.180000e+00 -3.352931 7.712931 0.9608087
## 69.11-62.77 -8.600000e-01 -6.392931 4.672931 1.0000000
## 69.13-62.77 2.500000e-02 -4.766659 4.816659 1.0000000
## 69.14-62.77 1.650000e+00 -3.882931 7.182931 0.9988994
## 69.19-62.77 -5.400000e-01 -6.072931 4.992931 1.0000000
## 69.25-62.77 -3.900000e-01 -5.922931 5.142931 1.0000000
## 69.26-62.77 9.000000e-01 -4.632931 6.432931 1.0000000
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## 69.53-62.77 -4.900000e-01 -6.022931 5.042931 1.0000000
## 69.61-62.77 2.300000e-01 -5.302931 5.762931 1.0000000
## 69.68-62.77 -1.600000e-01 -5.692931 5.372931 1.0000000
## 69.69-62.77 -6.500000e-01 -6.182931 4.882931 1.0000000
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## 69.81-62.77 1.690000e+00 -3.842931 7.222931 0.9983813
## 69.83-62.77 -7.500000e-02 -4.866659 4.716659 1.0000000
## 69.91-62.77 5.400000e-01 -4.992931 6.072931 1.0000000
## 69.92-62.77 6.000000e-02 -5.472931 5.592931 1.0000000
## 69.95-62.77 -1.800000e-01 -5.712931 5.352931 1.0000000
## 69.98-62.77 -4.900000e-01 -6.022931 5.042931 1.0000000
## 70.05-62.77 3.800000e-01 -5.152931 5.912931 1.0000000
## 70.06-62.77 7.800000e-01 -4.752931 6.312931 1.0000000
## 70.09-62.77 -6.500000e-01 -6.182931 4.882931 1.0000000
## 70.14-62.77 1.540000e+00 -3.992931 7.072931 0.9996698
## 70.15-62.77 4.200000e-01 -5.112931 5.952931 1.0000000
## 70.2-62.77 -2.600000e-01 -5.792931 5.272931 1.0000000
## 70.23-62.77 3.500000e-02 -4.756659 4.826659 1.0000000
## 70.25-62.77 2.500000e-01 -5.282931 5.782931 1.0000000
## 70.3-62.77 -1.800000e-01 -5.712931 5.352931 1.0000000
## 70.31-62.77 -3.000000e-01 -5.832931 5.232931 1.0000000
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## 70.47-62.77 -3.300000e-01 -5.862931 5.202931 1.0000000
## 70.52-62.77 6.500000e-02 -4.726659 4.856659 1.0000000
## 70.53-62.77 -9.000000e-02 -5.622931 5.442931 1.0000000
## 70.58-62.77 5.200000e-01 -5.012931 6.052931 1.0000000
## 70.59-62.77 6.000000e-02 -5.472931 5.592931 1.0000000
## 70.63-62.77 -9.600000e-01 -6.492931 4.572931 1.0000000
## 70.64-62.77 -2.000000e-01 -5.732931 5.332931 1.0000000
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## 71.82-71.73 1.690000e+00 -3.842931 7.222931 0.9983813
## 71.95-71.73 -6.000000e-02 -5.592931 5.472931 1.0000000
## 72.01-71.73 -8.100000e-01 -6.342931 4.722931 1.0000000
## 72.26-71.73 9.400000e-01 -4.592931 6.472931 1.0000000
## 72.31-71.73 4.550000e-01 -4.336659 5.246659 1.0000000
## 72.34-71.73 1.710000e+00 -3.822931 7.242931 0.9980552
## 72.53-71.73 1.530000e+00 -4.002931 7.062931 0.9997074
## 72.71-71.73 -6.000000e-02 -5.592931 5.472931 1.0000000
## 72.76-71.73 1.060000e+00 -4.472931 6.592931 1.0000000
## 72.79-71.73 -9.000000e-02 -5.622931 5.442931 1.0000000
## 72.81-71.73 6.300000e-01 -4.902931 6.162931 1.0000000
## 73.37-71.73 9.600000e-01 -4.572931 6.492931 1.0000000
## 73.6-71.73 1.120000e+00 -4.412931 6.652931 1.0000000
## 73.81-71.73 5.800000e-01 -4.952931 6.112931 1.0000000
## 74.05-71.73 8.900000e-01 -4.642931 6.422931 1.0000000
## 71.82-71.76 2.040000e+00 -3.492931 7.572931 0.9801898
## 71.95-71.76 2.900000e-01 -5.242931 5.822931 1.0000000
## 72.01-71.76 -4.600000e-01 -5.992931 5.072931 1.0000000
## 72.26-71.76 1.290000e+00 -4.242931 6.822931 1.0000000
## 72.31-71.76 8.050000e-01 -3.986659 5.596659 1.0000000
## 72.34-71.76 2.060000e+00 -3.472931 7.592931 0.9779669
## 72.53-71.76 1.880000e+00 -3.652931 7.412931 0.9925460
## 72.71-71.76 2.900000e-01 -5.242931 5.822931 1.0000000
## 72.76-71.76 1.410000e+00 -4.122931 6.942931 1.0000000
## 72.79-71.76 2.600000e-01 -5.272931 5.792931 1.0000000
## 72.81-71.76 9.800000e-01 -4.552931 6.512931 1.0000000
## 73.37-71.76 1.310000e+00 -4.222931 6.842931 1.0000000
## 73.6-71.76 1.470000e+00 -4.062931 7.002931 0.9998648
## 73.81-71.76 9.300000e-01 -4.602931 6.462931 1.0000000
## 74.05-71.76 1.240000e+00 -4.292931 6.772931 1.0000000
## 71.95-71.82 -1.750000e+00 -7.282931 3.782931 0.9972410
## 72.01-71.82 -2.500000e+00 -8.032931 3.032931 0.8791493
## 72.26-71.82 -7.500000e-01 -6.282931 4.782931 1.0000000
## 72.31-71.82 -1.235000e+00 -6.026659 3.556659 1.0000000
## 72.34-71.82 2.000000e-02 -5.512931 5.552931 1.0000000
## 72.53-71.82 -1.600000e-01 -5.692931 5.372931 1.0000000
## 72.71-71.82 -1.750000e+00 -7.282931 3.782931 0.9972410
## 72.76-71.82 -6.300000e-01 -6.162931 4.902931 1.0000000
## 72.79-71.82 -1.780000e+00 -7.312931 3.752931 0.9964649
## 72.81-71.82 -1.060000e+00 -6.592931 4.472931 1.0000000
## 73.37-71.82 -7.300000e-01 -6.262931 4.802931 1.0000000
## 73.6-71.82 -5.700000e-01 -6.102931 4.962931 1.0000000
## 73.81-71.82 -1.110000e+00 -6.642931 4.422931 1.0000000
## 74.05-71.82 -8.000000e-01 -6.332931 4.732931 1.0000000
## 72.01-71.95 -7.500000e-01 -6.282931 4.782931 1.0000000
## 72.26-71.95 1.000000e+00 -4.532931 6.532931 1.0000000
## 72.31-71.95 5.150000e-01 -4.276659 5.306659 1.0000000
## 72.34-71.95 1.770000e+00 -3.762931 7.302931 0.9967409
## 72.53-71.95 1.590000e+00 -3.942931 7.122931 0.9994131
## 72.71-71.95 0.000000e+00 -5.532931 5.532931 1.0000000
## 72.76-71.95 1.120000e+00 -4.412931 6.652931 1.0000000
## 72.79-71.95 -3.000000e-02 -5.562931 5.502931 1.0000000
## 72.81-71.95 6.900000e-01 -4.842931 6.222931 1.0000000
## 73.37-71.95 1.020000e+00 -4.512931 6.552931 1.0000000
## 73.6-71.95 1.180000e+00 -4.352931 6.712931 1.0000000
## 73.81-71.95 6.400000e-01 -4.892931 6.172931 1.0000000
## 74.05-71.95 9.500000e-01 -4.582931 6.482931 1.0000000
## 72.26-72.01 1.750000e+00 -3.782931 7.282931 0.9972410
## 72.31-72.01 1.265000e+00 -3.526659 6.056659 1.0000000
## 72.34-72.01 2.520000e+00 -3.012931 8.052931 0.8723275
## 72.53-72.01 2.340000e+00 -3.192931 7.872931 0.9266463
## 72.71-72.01 7.500000e-01 -4.782931 6.282931 1.0000000
## 72.76-72.01 1.870000e+00 -3.662931 7.402931 0.9930461
## 72.79-72.01 7.200000e-01 -4.812931 6.252931 1.0000000
## 72.81-72.01 1.440000e+00 -4.092931 6.972931 1.0000000
## 73.37-72.01 1.770000e+00 -3.762931 7.302931 0.9967409
## 73.6-72.01 1.930000e+00 -3.602931 7.462931 0.9896160
## 73.81-72.01 1.390000e+00 -4.142931 6.922931 1.0000000
## 74.05-72.01 1.700000e+00 -3.832931 7.232931 0.9982244
## 72.31-72.26 -4.850000e-01 -5.276659 4.306659 1.0000000
## 72.34-72.26 7.700000e-01 -4.762931 6.302931 1.0000000
## 72.53-72.26 5.900000e-01 -4.942931 6.122931 1.0000000
## 72.71-72.26 -1.000000e+00 -6.532931 4.532931 1.0000000
## 72.76-72.26 1.200000e-01 -5.412931 5.652931 1.0000000
## 72.79-72.26 -1.030000e+00 -6.562931 4.502931 1.0000000
## 72.81-72.26 -3.100000e-01 -5.842931 5.222931 1.0000000
## 73.37-72.26 2.000000e-02 -5.512931 5.552931 1.0000000
## 73.6-72.26 1.800000e-01 -5.352931 5.712931 1.0000000
## 73.81-72.26 -3.600000e-01 -5.892931 5.172931 1.0000000
## 74.05-72.26 -5.000000e-02 -5.582931 5.482931 1.0000000
## 72.34-72.31 1.255000e+00 -3.536659 6.046659 1.0000000
## 72.53-72.31 1.075000e+00 -3.716659 5.866659 1.0000000
## 72.71-72.31 -5.150000e-01 -5.306659 4.276659 1.0000000
## 72.76-72.31 6.050000e-01 -4.186659 5.396659 1.0000000
## 72.79-72.31 -5.450000e-01 -5.336659 4.246659 1.0000000
## 72.81-72.31 1.750000e-01 -4.616659 4.966659 1.0000000
## 73.37-72.31 5.050000e-01 -4.286659 5.296659 1.0000000
## 73.6-72.31 6.650000e-01 -4.126659 5.456659 1.0000000
## 73.81-72.31 1.250000e-01 -4.666659 4.916659 1.0000000
## 74.05-72.31 4.350000e-01 -4.356659 5.226659 1.0000000
## 72.53-72.34 -1.800000e-01 -5.712931 5.352931 1.0000000
## 72.71-72.34 -1.770000e+00 -7.302931 3.762931 0.9967409
## 72.76-72.34 -6.500000e-01 -6.182931 4.882931 1.0000000
## 72.79-72.34 -1.800000e+00 -7.332931 3.732931 0.9958566
## 72.81-72.34 -1.080000e+00 -6.612931 4.452931 1.0000000
## 73.37-72.34 -7.500000e-01 -6.282931 4.782931 1.0000000
## 73.6-72.34 -5.900000e-01 -6.122931 4.942931 1.0000000
## 73.81-72.34 -1.130000e+00 -6.662931 4.402931 1.0000000
## 74.05-72.34 -8.200000e-01 -6.352931 4.712931 1.0000000
## 72.71-72.53 -1.590000e+00 -7.122931 3.942931 0.9994131
## 72.76-72.53 -4.700000e-01 -6.002931 5.062931 1.0000000
## 72.79-72.53 -1.620000e+00 -7.152931 3.912931 0.9991899
## 72.81-72.53 -9.000000e-01 -6.432931 4.632931 1.0000000
## 73.37-72.53 -5.700000e-01 -6.102931 4.962931 1.0000000
## 73.6-72.53 -4.100000e-01 -5.942931 5.122931 1.0000000
## 73.81-72.53 -9.500000e-01 -6.482931 4.582931 1.0000000
## 74.05-72.53 -6.400000e-01 -6.172931 4.892931 1.0000000
## 72.76-72.71 1.120000e+00 -4.412931 6.652931 1.0000000
## 72.79-72.71 -3.000000e-02 -5.562931 5.502931 1.0000000
## 72.81-72.71 6.900000e-01 -4.842931 6.222931 1.0000000
## 73.37-72.71 1.020000e+00 -4.512931 6.552931 1.0000000
## 73.6-72.71 1.180000e+00 -4.352931 6.712931 1.0000000
## 73.81-72.71 6.400000e-01 -4.892931 6.172931 1.0000000
## 74.05-72.71 9.500000e-01 -4.582931 6.482931 1.0000000
## 72.79-72.76 -1.150000e+00 -6.682931 4.382931 1.0000000
## 72.81-72.76 -4.300000e-01 -5.962931 5.102931 1.0000000
## 73.37-72.76 -1.000000e-01 -5.632931 5.432931 1.0000000
## 73.6-72.76 6.000000e-02 -5.472931 5.592931 1.0000000
## 73.81-72.76 -4.800000e-01 -6.012931 5.052931 1.0000000
## 74.05-72.76 -1.700000e-01 -5.702931 5.362931 1.0000000
## 72.81-72.79 7.200000e-01 -4.812931 6.252931 1.0000000
## 73.37-72.79 1.050000e+00 -4.482931 6.582931 1.0000000
## 73.6-72.79 1.210000e+00 -4.322931 6.742931 1.0000000
## 73.81-72.79 6.700000e-01 -4.862931 6.202931 1.0000000
## 74.05-72.79 9.800000e-01 -4.552931 6.512931 1.0000000
## 73.37-72.81 3.300000e-01 -5.202931 5.862931 1.0000000
## 73.6-72.81 4.900000e-01 -5.042931 6.022931 1.0000000
## 73.81-72.81 -5.000000e-02 -5.582931 5.482931 1.0000000
## 74.05-72.81 2.600000e-01 -5.272931 5.792931 1.0000000
## 73.6-73.37 1.600000e-01 -5.372931 5.692931 1.0000000
## 73.81-73.37 -3.800000e-01 -5.912931 5.152931 1.0000000
## 74.05-73.37 -7.000000e-02 -5.602931 5.462931 1.0000000
## 73.81-73.6 -5.400000e-01 -6.072931 4.992931 1.0000000
## 74.05-73.6 -2.300000e-01 -5.762931 5.302931 1.0000000
## 74.05-73.81 3.100000e-01 -5.222931 5.842931 1.0000000TukeyHSD(anova_Fructose)## Tukey multiple comparisons of means
## 95% family-wise confidence level
##
## Fit: aov(formula = Fructose ~ L, data = data_lab)
##
## $L
## diff lwr upr p adj
## 65.1-62.77 8.000000e-02 -1.5813904 1.7413904 1.0000000
## 65.21-62.77 -8.000000e-02 -1.5188063 1.3588063 1.0000000
## 66.34-62.77 1.100000e-01 -1.5513904 1.7713904 1.0000000
## 66.58-62.77 3.000000e-02 -1.6313904 1.6913904 1.0000000
## 67.36-62.77 1.100000e-01 -1.5513904 1.7713904 1.0000000
## 67.93-62.77 1.100000e-01 -1.5513904 1.7713904 1.0000000
## 68.03-62.77 7.300000e-01 -0.9313904 2.3913904 0.9011810
## 68.08-62.77 -2.000000e-02 -1.6813904 1.6413904 1.0000000
## 68.36-62.77 1.600000e-01 -1.5013904 1.8213904 1.0000000
## 68.38-62.77 1.000000e-01 -1.5613904 1.7613904 1.0000000
## 68.61-62.77 4.300000e-01 -1.2313904 2.0913904 1.0000000
## 68.62-62.77 -5.000000e-02 -1.4888063 1.3888063 1.0000000
## 68.81-62.77 1.000000e-02 -1.6513904 1.6713904 1.0000000
## 68.93-62.77 1.100000e-01 -1.5513904 1.7713904 1.0000000
## 69.02-62.77 4.000000e-02 -1.6213904 1.7013904 1.0000000
## 69.03-62.77 -1.000000e-01 -1.7613904 1.5613904 1.0000000
## 69.05-62.77 9.100000e-01 -0.7513904 2.5713904 0.6543656
## 69.11-62.77 6.000000e-02 -1.6013904 1.7213904 1.0000000
## 69.13-62.77 4.500000e-02 -1.3938063 1.4838063 1.0000000
## 69.14-62.77 4.400000e-01 -1.2213904 2.1013904 1.0000000
## 69.19-62.77 -1.200000e-01 -1.7813904 1.5413904 1.0000000
## 69.25-62.77 -1.900000e-01 -1.8513904 1.4713904 1.0000000
## 69.26-62.77 4.100000e-01 -1.2513904 2.0713904 1.0000000
## 69.31-62.77 4.000000e-02 -1.6213904 1.7013904 1.0000000
## 69.36-62.77 -8.000000e-02 -1.7413904 1.5813904 1.0000000
## 69.37-62.77 4.000000e-02 -1.6213904 1.7013904 1.0000000
## 69.44-62.77 1.100000e-01 -1.5513904 1.7713904 1.0000000
## 69.53-62.77 -1.500000e-01 -1.8113904 1.5113904 1.0000000
## 69.61-62.77 -3.000000e-02 -1.6913904 1.6313904 1.0000000
## 69.68-62.77 -1.600000e-01 -1.8213904 1.5013904 1.0000000
## 69.69-62.77 9.000000e-02 -1.5713904 1.7513904 1.0000000
## 69.74-62.77 -4.000000e-02 -1.7013904 1.6213904 1.0000000
## 69.76-62.77 2.000000e-02 -1.6413904 1.6813904 1.0000000
## 69.81-62.77 5.300000e-01 -1.1313904 2.1913904 0.9968708
## 69.83-62.77 1.000000e-02 -1.4288063 1.4488063 1.0000000
## 69.91-62.77 1.800000e-01 -1.4813904 1.8413904 1.0000000
## 69.92-62.77 -2.000000e-02 -1.6813904 1.6413904 1.0000000
## 69.95-62.77 -1.700000e-01 -1.8313904 1.4913904 1.0000000
## 69.98-62.77 -6.000000e-02 -1.7213904 1.6013904 1.0000000
## 70.05-62.77 1.600000e-01 -1.5013904 1.8213904 1.0000000
## 70.06-62.77 3.400000e-01 -1.3213904 2.0013904 1.0000000
## 70.09-62.77 -8.000000e-02 -1.7413904 1.5813904 1.0000000
## 70.14-62.77 3.500000e-01 -1.3113904 2.0113904 1.0000000
## 70.15-62.77 1.400000e-01 -1.5213904 1.8013904 1.0000000
## 70.2-62.77 5.000000e-02 -1.6113904 1.7113904 1.0000000
## 70.23-62.77 1.450000e-01 -1.2938063 1.5838063 1.0000000
## 70.25-62.77 1.000000e-01 -1.5613904 1.7613904 1.0000000
## 70.3-62.77 9.000000e-02 -1.5713904 1.7513904 1.0000000
## 70.31-62.77 9.000000e-02 -1.5713904 1.7513904 1.0000000
## 70.34-62.77 1.100000e-01 -1.5513904 1.7713904 1.0000000
## 70.45-62.77 -1.200000e-01 -1.7813904 1.5413904 1.0000000
## 70.47-62.77 -1.500000e-01 -1.8113904 1.5113904 1.0000000
## 70.52-62.77 -1.500000e-02 -1.4538063 1.4238063 1.0000000
## 70.53-62.77 1.100000e-01 -1.5513904 1.7713904 1.0000000
## 70.58-62.77 1.600000e-01 -1.5013904 1.8213904 1.0000000
## 70.59-62.77 -1.000000e-01 -1.7613904 1.5613904 1.0000000
## 70.63-62.77 -2.500000e-01 -1.9113904 1.4113904 1.0000000
## 70.64-62.77 -1.000000e-02 -1.6713904 1.6513904 1.0000000
## 70.68-62.77 6.000000e-02 -1.6013904 1.7213904 1.0000000
## 70.79-62.77 1.900000e-01 -1.4713904 1.8513904 1.0000000
## 70.84-62.77 1.000000e-02 -1.6513904 1.6713904 1.0000000
## 70.86-62.77 -3.000000e-02 -1.4688063 1.4088063 1.0000000
## 70.89-62.77 -1.200000e-01 -1.7813904 1.5413904 1.0000000
## 70.9-62.77 2.100000e-01 -1.4513904 1.8713904 1.0000000
## 70.92-62.77 5.500000e-02 -1.3838063 1.4938063 1.0000000
## 70.97-62.77 -2.500000e-01 -1.9113904 1.4113904 1.0000000
## 70.99-62.77 1.000000e-02 -1.6513904 1.6713904 1.0000000
## 71.02-62.77 1.100000e-01 -1.5513904 1.7713904 1.0000000
## 71.03-62.77 1.100000e-01 -1.5513904 1.7713904 1.0000000
## 71.09-62.77 8.000000e-02 -1.5813904 1.7413904 1.0000000
## 71.14-62.77 -1.300000e-01 -1.7913904 1.5313904 1.0000000
## 71.18-62.77 7.000000e-02 -1.5913904 1.7313904 1.0000000
## 71.31-62.77 -1.200000e-01 -1.7813904 1.5413904 1.0000000
## 71.34-62.77 -9.000000e-02 -1.7513904 1.5713904 1.0000000
## 71.36-62.77 2.100000e-01 -1.4513904 1.8713904 1.0000000
## 71.37-62.77 -1.300000e-01 -1.7913904 1.5313904 1.0000000
## 71.43-62.77 -9.000000e-02 -1.7513904 1.5713904 1.0000000
## 71.5-62.77 3.400000e-01 -1.3213904 2.0013904 1.0000000
## 71.54-62.77 3.800000e-01 -1.2813904 2.0413904 1.0000000
## 71.57-62.77 1.800000e-01 -1.4813904 1.8413904 1.0000000
## 71.64-62.77 -2.300000e-01 -1.8913904 1.4313904 1.0000000
## 71.73-62.77 -5.000000e-02 -1.7113904 1.6113904 1.0000000
## 71.76-62.77 -2.000000e-02 -1.6813904 1.6413904 1.0000000
## 71.82-62.77 3.800000e-01 -1.2813904 2.0413904 1.0000000
## 71.95-62.77 8.000000e-02 -1.5813904 1.7413904 1.0000000
## 72.01-62.77 -1.700000e-01 -1.8313904 1.4913904 1.0000000
## 72.26-62.77 2.500000e-01 -1.4113904 1.9113904 1.0000000
## 72.31-62.77 3.500000e-02 -1.4038063 1.4738063 1.0000000
## 72.34-62.77 4.600000e-01 -1.2013904 2.1213904 0.9997004
## 72.53-62.77 5.100000e-01 -1.1513904 2.1713904 0.9982495
## 72.71-62.77 6.000000e-02 -1.6013904 1.7213904 1.0000000
## 72.76-62.77 3.300000e-01 -1.3313904 1.9913904 1.0000000
## 72.79-62.77 -1.300000e-01 -1.7913904 1.5313904 1.0000000
## 72.81-62.77 2.600000e-01 -1.4013904 1.9213904 1.0000000
## 73.37-62.77 8.000000e-02 -1.5813904 1.7413904 1.0000000
## 73.6-62.77 3.100000e-01 -1.3513904 1.9713904 1.0000000
## 73.81-62.77 1.100000e-01 -1.5513904 1.7713904 1.0000000
## 74.05-62.77 1.100000e-01 -1.5513904 1.7713904 1.0000000
## 65.21-65.1 -1.600000e-01 -1.5988063 1.2788063 1.0000000
## 66.34-65.1 3.000000e-02 -1.6313904 1.6913904 1.0000000
## 66.58-65.1 -5.000000e-02 -1.7113904 1.6113904 1.0000000
## 67.36-65.1 3.000000e-02 -1.6313904 1.6913904 1.0000000
## 67.93-65.1 3.000000e-02 -1.6313904 1.6913904 1.0000000
## 68.03-65.1 6.500000e-01 -1.0113904 2.3113904 0.9633820
## 68.08-65.1 -1.000000e-01 -1.7613904 1.5613904 1.0000000
## 68.36-65.1 8.000000e-02 -1.5813904 1.7413904 1.0000000
## 68.38-65.1 2.000000e-02 -1.6413904 1.6813904 1.0000000
## 68.61-65.1 3.500000e-01 -1.3113904 2.0113904 1.0000000
## 68.62-65.1 -1.300000e-01 -1.5688063 1.3088063 1.0000000
## 68.81-65.1 -7.000000e-02 -1.7313904 1.5913904 1.0000000
## 68.93-65.1 3.000000e-02 -1.6313904 1.6913904 1.0000000
## 69.02-65.1 -4.000000e-02 -1.7013904 1.6213904 1.0000000
## 69.03-65.1 -1.800000e-01 -1.8413904 1.4813904 1.0000000
## 69.05-65.1 8.300000e-01 -0.8313904 2.4913904 0.7761286
## 69.11-65.1 -2.000000e-02 -1.6813904 1.6413904 1.0000000
## 69.13-65.1 -3.500000e-02 -1.4738063 1.4038063 1.0000000
## 69.14-65.1 3.600000e-01 -1.3013904 2.0213904 1.0000000
## 69.19-65.1 -2.000000e-01 -1.8613904 1.4613904 1.0000000
## 69.25-65.1 -2.700000e-01 -1.9313904 1.3913904 1.0000000
## 69.26-65.1 3.300000e-01 -1.3313904 1.9913904 1.0000000
## 69.31-65.1 -4.000000e-02 -1.7013904 1.6213904 1.0000000
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## 73.81-71.95 3.000000e-02 -1.6313904 1.6913904 1.0000000
## 74.05-71.95 3.000000e-02 -1.6313904 1.6913904 1.0000000
## 72.26-72.01 4.200000e-01 -1.2413904 2.0813904 1.0000000
## 72.31-72.01 2.050000e-01 -1.2338063 1.6438063 1.0000000
## 72.34-72.01 6.300000e-01 -1.0313904 2.2913904 0.9732502
## 72.53-72.01 6.800000e-01 -0.9813904 2.3413904 0.9444193
## 72.71-72.01 2.300000e-01 -1.4313904 1.8913904 1.0000000
## 72.76-72.01 5.000000e-01 -1.1613904 2.1613904 0.9987224
## 72.79-72.01 4.000000e-02 -1.6213904 1.7013904 1.0000000
## 72.81-72.01 4.300000e-01 -1.2313904 2.0913904 1.0000000
## 73.37-72.01 2.500000e-01 -1.4113904 1.9113904 1.0000000
## 73.6-72.01 4.800000e-01 -1.1813904 2.1413904 0.9993556
## 73.81-72.01 2.800000e-01 -1.3813904 1.9413904 1.0000000
## 74.05-72.01 2.800000e-01 -1.3813904 1.9413904 1.0000000
## 72.31-72.26 -2.150000e-01 -1.6538063 1.2238063 1.0000000
## 72.34-72.26 2.100000e-01 -1.4513904 1.8713904 1.0000000
## 72.53-72.26 2.600000e-01 -1.4013904 1.9213904 1.0000000
## 72.71-72.26 -1.900000e-01 -1.8513904 1.4713904 1.0000000
## 72.76-72.26 8.000000e-02 -1.5813904 1.7413904 1.0000000
## 72.79-72.26 -3.800000e-01 -2.0413904 1.2813904 1.0000000
## 72.81-72.26 1.000000e-02 -1.6513904 1.6713904 1.0000000
## 73.37-72.26 -1.700000e-01 -1.8313904 1.4913904 1.0000000
## 73.6-72.26 6.000000e-02 -1.6013904 1.7213904 1.0000000
## 73.81-72.26 -1.400000e-01 -1.8013904 1.5213904 1.0000000
## 74.05-72.26 -1.400000e-01 -1.8013904 1.5213904 1.0000000
## 72.34-72.31 4.250000e-01 -1.0138063 1.8638063 0.9990603
## 72.53-72.31 4.750000e-01 -0.9638063 1.9138063 0.9949210
## 72.71-72.31 2.500000e-02 -1.4138063 1.4638063 1.0000000
## 72.76-72.31 2.950000e-01 -1.1438063 1.7338063 1.0000000
## 72.79-72.31 -1.650000e-01 -1.6038063 1.2738063 1.0000000
## 72.81-72.31 2.250000e-01 -1.2138063 1.6638063 1.0000000
## 73.37-72.31 4.500000e-02 -1.3938063 1.4838063 1.0000000
## 73.6-72.31 2.750000e-01 -1.1638063 1.7138063 1.0000000
## 73.81-72.31 7.500000e-02 -1.3638063 1.5138063 1.0000000
## 74.05-72.31 7.500000e-02 -1.3638063 1.5138063 1.0000000
## 72.53-72.34 5.000000e-02 -1.6113904 1.7113904 1.0000000
## 72.71-72.34 -4.000000e-01 -2.0613904 1.2613904 1.0000000
## 72.76-72.34 -1.300000e-01 -1.7913904 1.5313904 1.0000000
## 72.79-72.34 -5.900000e-01 -2.2513904 1.0713904 0.9871045
## 72.81-72.34 -2.000000e-01 -1.8613904 1.4613904 1.0000000
## 73.37-72.34 -3.800000e-01 -2.0413904 1.2813904 1.0000000
## 73.6-72.34 -1.500000e-01 -1.8113904 1.5113904 1.0000000
## 73.81-72.34 -3.500000e-01 -2.0113904 1.3113904 1.0000000
## 74.05-72.34 -3.500000e-01 -2.0113904 1.3113904 1.0000000
## 72.71-72.53 -4.500000e-01 -2.1113904 1.2113904 0.9998026
## 72.76-72.53 -1.800000e-01 -1.8413904 1.4813904 1.0000000
## 72.79-72.53 -6.400000e-01 -2.3013904 1.0213904 0.9685820
## 72.81-72.53 -2.500000e-01 -1.9113904 1.4113904 1.0000000
## 73.37-72.53 -4.300000e-01 -2.0913904 1.2313904 1.0000000
## 73.6-72.53 -2.000000e-01 -1.8613904 1.4613904 1.0000000
## 73.81-72.53 -4.000000e-01 -2.0613904 1.2613904 1.0000000
## 74.05-72.53 -4.000000e-01 -2.0613904 1.2613904 1.0000000
## 72.76-72.71 2.700000e-01 -1.3913904 1.9313904 1.0000000
## 72.79-72.71 -1.900000e-01 -1.8513904 1.4713904 1.0000000
## 72.81-72.71 2.000000e-01 -1.4613904 1.8613904 1.0000000
## 73.37-72.71 2.000000e-02 -1.6413904 1.6813904 1.0000000
## 73.6-72.71 2.500000e-01 -1.4113904 1.9113904 1.0000000
## 73.81-72.71 5.000000e-02 -1.6113904 1.7113904 1.0000000
## 74.05-72.71 5.000000e-02 -1.6113904 1.7113904 1.0000000
## 72.79-72.76 -4.600000e-01 -2.1213904 1.2013904 0.9997004
## 72.81-72.76 -7.000000e-02 -1.7313904 1.5913904 1.0000000
## 73.37-72.76 -2.500000e-01 -1.9113904 1.4113904 1.0000000
## 73.6-72.76 -2.000000e-02 -1.6813904 1.6413904 1.0000000
## 73.81-72.76 -2.200000e-01 -1.8813904 1.4413904 1.0000000
## 74.05-72.76 -2.200000e-01 -1.8813904 1.4413904 1.0000000
## 72.81-72.79 3.900000e-01 -1.2713904 2.0513904 1.0000000
## 73.37-72.79 2.100000e-01 -1.4513904 1.8713904 1.0000000
## 73.6-72.79 4.400000e-01 -1.2213904 2.1013904 1.0000000
## 73.81-72.79 2.400000e-01 -1.4213904 1.9013904 1.0000000
## 74.05-72.79 2.400000e-01 -1.4213904 1.9013904 1.0000000
## 73.37-72.81 -1.800000e-01 -1.8413904 1.4813904 1.0000000
## 73.6-72.81 5.000000e-02 -1.6113904 1.7113904 1.0000000
## 73.81-72.81 -1.500000e-01 -1.8113904 1.5113904 1.0000000
## 74.05-72.81 -1.500000e-01 -1.8113904 1.5113904 1.0000000
## 73.6-73.37 2.300000e-01 -1.4313904 1.8913904 1.0000000
## 73.81-73.37 3.000000e-02 -1.6313904 1.6913904 1.0000000
## 74.05-73.37 3.000000e-02 -1.6313904 1.6913904 1.0000000
## 73.81-73.6 -2.000000e-01 -1.8613904 1.4613904 1.0000000
## 74.05-73.6 -2.000000e-01 -1.8613904 1.4613904 1.0000000
## 74.05-73.81 1.110223e-16 -1.6613904 1.6613904 1.00000005. Biểu đồ hộp minh họa
par(mfrow = c(2,3))
boxplot(Poids ~ L, data = data_lab, main = "Poids theo L", col="lightblue")
boxplot(Diam ~ L, data = data_lab, main = "Diam theo L", col="lightgreen")
boxplot(Malate ~ L, data = data_lab, main = "Malate theo L", col="lightpink")
boxplot(Glucose ~ L, data = data_lab, main = "Glucose theo L", col="lightyellow")
boxplot(Fructose ~ L, data = data_lab, main = "Fructose theo L", col="lightgray")