FAT3DBC {AgroR} R Documentation

## Analysis: DBC experiments in triple factorial

### Description

Analysis of an experiment conducted in a randomized block design in a triple factorial scheme using analysis of variance of fixed effects.

### Usage

```FAT3DBC(
f1,
f2,
f3,
block,
response,
quali = c(TRUE, TRUE, TRUE),
names.fat = c("F1", "F2", "F3"),
mcomp = "tukey",
transf = 1,
norm = "sw",
homog = "bt",
alpha.f = 0.05,
alpha.t = 0.05,
ylab = "Response",
xlab = "",
sup = NA,
grau = NA,
fill = "lightblue",
theme = theme_classic(),
angulo = 0,
errorbar = TRUE,
family = "sans",
dec = 3,
geom = "bar",
textsize = 12,
angle.label = 0
)
```

### Arguments

 `f1` Numeric or complex vector with factor 1 levels `f2` Numeric or complex vector with factor 2 levels `f3` Numeric or complex vector with factor 3 levels `block` Numerical or complex vector with blocks `response` Numerical vector containing the response of the experiment. `quali` Defines whether the factor is quantitative or qualitative (qualitative) `names.fat` Allows labeling the factors 1, 2 and 3. `mcomp` Multiple comparison test (Tukey (default), LSD, Scott-Knott and Duncan) `transf` Applies data transformation (default is 1; for log consider 0) `norm` Error normality test (default is Shapiro-Wilk) `homog` Homogeneity test of variances (default is Bartlett) `alpha.f` Level of significance of the F test (default is 0.05) `alpha.t` Significance level of the multiple comparison test (default is 0.05) `ylab` Variable response name (Accepts the expression() function) `xlab` Treatments name (Accepts the expression() function) `sup` Number of units above the standard deviation or average bar on the graph `grau` Degree of polynomial in case of quantitative factor (default is 1) `fill` Defines chart color (to generate different colors for different treatments, define fill = "trat") `theme` ggplot2 theme (default is theme_classic()) `angulo` x-axis scale text rotation `errorbar` Plot the standard deviation bar on the graph (In the case of a segment and column graph) - default is TRUE `addmean` Plot the average value on the graph (default is TRUE) `family` Font family `dec` Number of cells `geom` Graph type (columns or segments) `textsize` Font size `angle.label` label angle

### Value

The analysis of variance table, the Shapiro-Wilk error normality test, the Bartlett homogeneity test of variances, the Durbin-Watson error independence test, multiple comparison test (Tukey, LSD, Scott-Knott or Duncan) or adjustment of regression models up to grade 3 polynomial, in the case of quantitative treatments. The column chart for qualitative treatments is also returned.For significant triple interaction only, no graph is returned.

### Note

The function does not perform multiple regression in the case of two or more quantitative factors. The bars of the column and segment graphs are standard deviation.

In the final output when transformation (transf argument) is different from 1, the columns resp and respo in the mean test are returned, indicating transformed and non-transformed mean, respectively.

### Author(s)

Gabriel Danilo Shimizu, shimizu@uel.br

Leandro Simoes Azeredo Goncalves

Rodrigo Yudi Palhaci Marubayashi

### References

Principles and procedures of statistics a biometrical approach Steel, Torry and Dickey. Third Edition 1997

Multiple comparisons theory and methods. Departament of statistics the Ohio State University. USA, 1996. Jason C. Hsu. Chapman Hall/CRC.

Practical Nonparametrics Statistics. W.J. Conover, 1999

Ramalho M.A.P., Ferreira D.F., Oliveira A.C. 2000. Experimentacao em Genetica e Melhoramento de Plantas. Editora UFLA.

Scott R.J., Knott M. 1974. A cluster analysis method for grouping mans in the analysis of variance. Biometrics, 30, 507-512.

Ferreira, E. B., Cavalcanti, P. P., and Nogueira, D. A. (2014). ExpDes: an R package for ANOVA and experimental designs. Applied Mathematics, 5(19), 2952.

Mendiburu, F., and de Mendiburu, M. F. (2019). Package ‘agricolae’. R Package, Version, 1-2.

### Examples

```library(AgroR)
data(enxofre)
attach(enxofre)
FAT3DBC(f1, f2, f3, bloco, resp)
```

[Package AgroR version 1.2.2 Index]