Anexo: Primer trabajo práctico - Diseños Experimentales

Authors
Affiliation

Franklin Santos

Universidad Austral de Chile

Benjamín Ignacio Díaz Huarnez

Universidad Austral de Chile

ANEXOS

REFERENCIAS BIBLIOGRÁFICAS

Ejercicio 1

Beebe, S. E., Rao, I. M., Devi, M. J., & Polania, J. (2014). Common beans, biodiversity, and multiple stresses: Challenges of drought resistance in tropical soils. Crop and Pasture Science, 65(7), 667. https://doi.org/10.1071/CP13303

Broughton, W. J., Hernández, G., Blair, M., Beebe, S., Gepts, P., & Vanderleyden, J. (2003). Beans (Phaseolus spp.) – model food legumes. Plant and Soil, 252(1), 55–128. https://doi.org/10.1023/A:1024146710611

McClean, P. E., Burridge, J., Beebe, S., Rao, I. M., & Porch, T. G. (2011). Crop improvement in the era of climate change: An integrated, multi-disciplinary approach for common bean (Phaseolus vulgaris). Functional Plant Biology, 38(12), 927. https://doi.org/10.1071/FP11102

Mendiburu, F. de. (2023). agricolae: Statistical Procedures for Agricultural Research (1.3-7) [Software]. https://cran.r-project.org/web/packages/agricolae/index.html

Olivoto, T. (2023). metan: Multi Environment Trials Analysis (1.18.0) [Software]. https://cran.r-project.org/web/packages/metan/index.html

R Core Team. (2024). R: A Language and Environment for Statistical Computing [Software]. R Foundation for Statistical Computing. https://www.R-project.org/

Shimizu, G. D., Marubayashi, R. Y. P., & Goncalves, L. S. A. (2024). AgroR: Experimental Statistics and Graphics for Agricultural Sciences (1.3.6) [Software]. https://cran.r-project.org/web/packages/AgroR/index.html

Wickham, H., Chang, W., Henry, L., Pedersen, T. L., Takahashi, K., Wilke, C., Woo, K., Yutani, H., Dunnington, D., Brand, T. van den, Posit, & PBC. (2024). ggplot2: Create Elegant Data Visualisations Using the Grammar of Graphics (3.5.1) [Software]. https://cran.r-project.org/web/packages/ggplot2/index.html

Ejercicio 2

Barrios, E. (2007). Soil biota, ecosystem services and land productivity. Ecological economics, 64(2), 269-285. https://doi.org/10.1016/j.ecolecon.2007.03.004.

Glick, B.R. (2012). Plant growth-promoting bacteria: Mechanisms and applications. Scientifica, 20(12) 963401.

Nanniipieri, P. (2020). Soil is still an unknown biological system. Applied science, 10(11), 3717. https://doi.org/10.3390/app10113717

Research and Markets. Biofertilizer Market: Global Industry Trends, Share, Size, Growth, Opportunity and Forecast 2019–2024. (2019). Available online: https://www.researchandmarkets.com/r/ucz1gg (accessed on 10 May 2020).

Ruiu, L. (2020). Plant-Growth-Promoting Bacteria (PGPB) against Insects and Other Agricultural Pests. Agronomy, 10(6), 861. https://doi.org/10.3390/agronomy10060861

Shimizu, G. D., Marubayashi, R. Y. P., & Goncalves, L. S. A. (2024). AgroR: Experimental Statistics and Graphics for Agricultural Sciences (1.3.6) [Software]. Dataset: Bean — bean • AgroR (agronomiar.github.io)

Análisis de base de datos

library(tidyverse)
library(metan)
library(readxl)
library(kableExtra)
db <- read_excel("data_frijol.xlsx")
head(db)
# A tibble: 6 × 5
  LINEAS   BLQ   APL   NVP RDTO_P
  <chr>  <dbl> <dbl> <dbl>  <dbl>
1 AMADEU     1  44.3  28     24.9
2 AMADEU     2  35.2  43     25.4
3 AMADEU     3  44.8  36.5   37.1
4 AMADEU     4  44    66     55.4
5 DAA-24     1  46    33     46.3
6 DAA-24     2  51.6  26.5   50.2
## Analisis descriptivo
db%>%
  select(-LINEAS, -BLQ)%>%
  desc_stat(stats = c("mean, se, kurt, skew, min, max"))%>%
  round_cols()%>%
  kbl(caption = "Análisis descriptivo")%>%
  kable_classic(full_width = F, html_font = "Cambria")
Análisis descriptivo
variable mean se kurt skew min max
APL 54.68 1.39 -0.77 0.45 35.15 78.05
NVP 44.58 1.52 0.03 -0.05 13.00 70.00
RDTO_P 44.97 2.12 -0.43 -0.28 6.15 76.20
## Boxplot
ap = ggplot(data = db,
            aes(x=LINEAS,
                y=APL,
                color=LINEAS)) +
  geom_boxplot() +
  geom_jitter() +
  stat_summary(fun = "mean", geom = "point", color = "black") +
  theme_classic() +
  labs(x="Genotipos de frijol",
       y="Altura de planta (cm)") +
  guides(x=guide_axis(angle = 45))+
  theme(legend.position = "none")

nvp = ggplot(data = db,
            aes(x=LINEAS,
                y=NVP,
                color=LINEAS)) +
  geom_boxplot() +
  geom_jitter() +
  stat_summary(fun = "mean", geom = "point", color = "black") +
  theme_classic() +
  labs(x="Genotipos de frijol",
       y="Numero de vainas por planta") +
  guides(x=guide_axis(angle = 45))+
  theme(legend.position = "none")

RDTO = ggplot(data = db,
            aes(x=LINEAS,
                y=RDTO_P,
                color=LINEAS)) +
  geom_boxplot() +
  geom_jitter() +
  stat_summary(fun = "mean", geom = "point", color = "black") +
  theme_classic() +
  labs(x="Genotipos de frijol",
       y="Rendimiento por planta (g)") +
  guides(x=guide_axis(angle = 45))+
  theme(legend.position = "none")

Analisis de Varianza y supuestos de normalidad

library(AgroR)
attach(db)
a=DBC(trat=LINEAS, 
             block=BLQ, 
             response=APL,
             ylab = "APL",
             angle = 45)#Tukey


-----------------------------------------------------------------
Normality of errors
-----------------------------------------------------------------
                         Method Statistic   p.value
 Shapiro-Wilk normality test(W) 0.9867105 0.7583378


-----------------------------------------------------------------
Homogeneity of Variances
-----------------------------------------------------------------
                              Method Statistic   p.value
 Bartlett test(Bartlett's K-squared)  16.36628 0.2915212


-----------------------------------------------------------------
Independence from errors
-----------------------------------------------------------------
                 Method Statistic   p.value
 Durbin-Watson test(DW)  2.217491 0.1603747


-----------------------------------------------------------------
Additional Information
-----------------------------------------------------------------

CV (%) =  13.68
MStrat/MST =  0.69
Mean =  54.6775
Median =  52.575
Possible outliers =  No discrepant point

-----------------------------------------------------------------
Analysis of Variance
-----------------------------------------------------------------
          Df    Sum Sq  Mean.Sq  F value        Pr(F)
Treatment 14 4224.0315 301.7165 5.394596 1.008028e-05
Block      3  230.7708  76.9236 1.375370 2.634329e-01
Residuals 42 2349.0348  55.9294                      


-----------------------------------------------------------------
Multiple Comparison Test: Tukey HSD
-----------------------------------------------------------------
           resp groups
SMN-24  71.5250      a
SMC-259 68.4125     ab
SEC-93  61.7000    abc
SEC-98  61.6250    abc
SEN-46  59.3375   abcd
T-L     57.6750   abcd
SMC-254 56.8500   abcd
SEC-94  52.0375    bcd
SEN-142 51.9000    bcd
DAA-24  48.4625     cd
SMN-65  48.4000     cd
SMC-255 48.2500     cd
SMN-101 47.6125     cd
DAB-569 44.3125     cd
AMADEU  42.0625      d

b=DBC(trat=LINEAS, 
             block=BLQ, 
             response=NVP,
             ylab = "NVP",
             angle = 45)


-----------------------------------------------------------------
Normality of errors
-----------------------------------------------------------------
                         Method Statistic   p.value
 Shapiro-Wilk normality test(W)  0.970281 0.1506192


-----------------------------------------------------------------
Homogeneity of Variances
-----------------------------------------------------------------
                              Method Statistic    p.value
 Bartlett test(Bartlett's K-squared)   21.9687 0.07925985


-----------------------------------------------------------------
Independence from errors
-----------------------------------------------------------------
                 Method Statistic   p.value
 Durbin-Watson test(DW)  2.778338 0.9147993


-----------------------------------------------------------------
Additional Information
-----------------------------------------------------------------

CV (%) =  18.62
MStrat/MST =  0.43
Mean =  44.575
Median =  45.75
Possible outliers =  No discrepant point

-----------------------------------------------------------------
Analysis of Variance
-----------------------------------------------------------------
          Df    Sum Sq   Mean.Sq  F value        Pr(F)
Treatment 14 4293.8500 306.70357 4.454278 8.179603e-05
Block      3  995.1125 331.70417 4.817364 5.683248e-03
Residuals 42 2891.9500  68.85595                      


-----------------------------------------------------------------
Multiple Comparison Test: Tukey HSD
-----------------------------------------------------------------
          resp groups
T-L     61.625      a
SEN-46  53.125     ab
SMN-24  52.750     ab
SMC-259 52.250    abc
SMN-65  48.875    abc
SEN-142 48.250    abc
DAB-569 45.000    abc
SEC-94  44.875    abc
SMC-255 44.750    abc
AMADEU  43.375    abc
SMN-101 41.750    abc
SEC-98  35.000     bc
SMC-254 33.000     bc
SEC-93  32.375     bc
DAA-24  31.625      c

c=DBC(trat=LINEAS, 
             block=BLQ, 
             response=RDTO_P,
             ylab = "RDTO_P",
             angle = 45)


-----------------------------------------------------------------
Normality of errors
-----------------------------------------------------------------
                         Method Statistic p.value
 Shapiro-Wilk normality test(W)  0.987436 0.79445


-----------------------------------------------------------------
Homogeneity of Variances
-----------------------------------------------------------------
                              Method Statistic   p.value
 Bartlett test(Bartlett's K-squared)  11.65852 0.6337047


-----------------------------------------------------------------
Independence from errors
-----------------------------------------------------------------
                 Method Statistic  p.value
 Durbin-Watson test(DW)  2.298845 0.253345


-----------------------------------------------------------------
Additional Information
-----------------------------------------------------------------

CV (%) =  26.23
MStrat/MST =  0.63
Mean =  44.965
Median =  45.75
Possible outliers =  No discrepant point

-----------------------------------------------------------------
Analysis of Variance
-----------------------------------------------------------------
          Df    Sum Sq  Mean.Sq  F value        Pr(F)
Treatment 14 9365.5715 668.9694 4.809799 3.630627e-05
Block      3  766.8182 255.6061 1.837773 1.549949e-01
Residuals 42 5841.5568 139.0847                      


-----------------------------------------------------------------
Multiple Comparison Test: Tukey HSD
-----------------------------------------------------------------
           resp groups
SEN-142 60.3750      a
T-L     59.0625      a
SMN-24  54.7125      a
SMN-65  52.9500      a
SMN-101 52.7875      a
SMC-259 52.2125      a
DAB-569 51.8125      a
SEN-46  50.9250     ab
DAA-24  49.7375     ab
SMC-255 40.3500    abc
SEC-94  40.1750    abc
AMADEU  35.7000    abc
SEC-98  34.3750    abc
SMC-254 20.9875     bc
SEC-93  18.3125      c

library(knitr)
kable(summarise_anova(list(a,b,c), design = "DBC", divisor = FALSE))
APL NVP RDTO_P
AMADEU 42.062 d 43.375 abc 35.7 abc
DAA-24 48.462 cd 31.625 c 49.737 ab
DAB-569 44.312 cd 45 abc 51.812 a
SEC-93 61.7 abc 32.375 bc 18.312 c
SEC-94 52.038 bcd 44.875 abc 40.175 abc
SEC-98 61.625 abc 35 bc 34.375 abc
SEN-142 51.9 bcd 48.25 abc 60.375 a
SEN-46 59.337 abcd 53.125 ab 50.925 ab
SMC-254 56.85 abcd 33 bc 20.988 bc
SMC-255 48.25 cd 44.75 abc 40.35 abc
SMC-259 68.412 ab 52.25 abc 52.212 a
SMN-101 47.612 cd 41.75 abc 52.788 a
SMN-24 71.525 a 52.75 ab 54.712 a
SMN-65 48.4 cd 48.875 abc 52.95 a
T-L 57.675 abcd 61.625 a 59.062 a
CV(%) 13.678 18.616 26.228
p_tr p<0.001 p<0.001 p<0.001
p_bl 0.263 0.006 0.155
Transformation No transf No transf No transf
p-value Normality of errors 0.758 0.151 0.794
p-value Homogeneity of variances 0.292 0.079 0.634

Segunda base de datos (DCA)

Diseño completamente al azar

library(AgroR)
data("bean")
head(bean)
  trat prod
1   T1  100
2   T1  120
3   T1  110
4   T1   90
5   T1  100
6   T2  150
anova<-aov(prod~trat, data=bean)

plot(anova)

with(bean, DIC(trat, prod, ylab = "Produccion (g planta)")) # tukey


-----------------------------------------------------------------
Normality of errors
-----------------------------------------------------------------
                         Method Statistic   p.value
 Shapiro-Wilk normality test(W) 0.9688448 0.6159275


-----------------------------------------------------------------
Homogeneity of Variances
-----------------------------------------------------------------
                              Method Statistic   p.value
 Bartlett test(Bartlett's K-squared)   2.64645 0.6186172


-----------------------------------------------------------------
Independence from errors
-----------------------------------------------------------------
                 Method Statistic   p.value
 Durbin-Watson test(DW)  1.971378 0.1719516


-----------------------------------------------------------------
Additional Information
-----------------------------------------------------------------

CV (%) =  4.55
MStrat/MST =  1
Mean =  173.24
Median =  150
Possible outliers =  No discrepant point

-----------------------------------------------------------------
Analysis of Variance
-----------------------------------------------------------------
          Df   Sum Sq  Mean.Sq  F value        Pr(F)
Treatment  4 72712.16 18178.04 292.6278 1.939428e-17
Residuals 20  1242.40    62.12                      




-----------------------------------------------------------------
Multiple Comparison Test: Tukey HSD
-----------------------------------------------------------------
    resp groups
T5 255.6      a
T4 212.4      b
T2 152.8      c
T3 141.4      c
T1 104.0      d