| title: “Diseño en Bloques Completos al Azar” |
| author: “Yaneth Hernandez” |
| date: “2025-03-11” |
| output: |
| html_document: default |
| pdf_document: default |
Diseño de bloques completamente al azar
## Marca PH AE
## Length:16 Length:16 Min. :0.470
## Class :character Class :character 1st Qu.:0.650
## Mode :character Mode :character Median :0.695
## Mean :0.685
## 3rd Qu.:0.760
## Max. :0.840
1.Calculo ANOVA y modelo lineal
## Df Sum Sq Mean Sq F value Pr(>F)
## PH 3 0.09575 0.03192 24.55 0.000115 ***
## Marca 3 0.06315 0.02105 16.19 0.000570 ***
## Residuals 9 0.01170 0.00130
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
2. Supuestos del Diseño Experimental
3. Normalidad
## Cargando paquete requerido: carData
##
## Shapiro-Wilk normality test
##
## data: resid(modelo)
## W = 0.9316, p-value = 0.2584
## [1] 2 16
4. Homocedasticidad e independencia de los residuos
##
## Bartlett test of homogeneity of variances
##
## data: resid(modelo) by PH
## Bartlett's K-squared = 2.4076, df = 3, p-value = 0.4922
##
## Bartlett test of homogeneity of variances
##
## data: resid(modelo) by PH
## Bartlett's K-squared = 2.4076, df = 3, p-value = 0.4922
5. Pruebas aposteriori
##
## Study: anova ~ "PH"
##
## HSD Test for AE
##
## Mean Square Error: 0.0013
##
## PH, means
##
## AE std r se Min Max Q25 Q50 Q75
## PH5 0.7000 0.06218253 4 0.01802776 0.65 0.79 0.6650 0.680 0.7150
## PH6 0.5550 0.10214369 4 0.01802776 0.47 0.70 0.4925 0.525 0.5875
## PH7 0.7325 0.07274384 4 0.01802776 0.68 0.84 0.6950 0.705 0.7425
## PH8 0.7525 0.07320064 4 0.01802776 0.65 0.81 0.7250 0.775 0.8025
##
## Alpha: 0.05 ; DF Error: 9
## Critical Value of Studentized Range: 4.41489
##
## Minimun Significant Difference: 0.07959056
##
## Treatments with the same letter are not significantly different.
##
## AE groups
## PH8 0.7525 a
## PH7 0.7325 a
## PH5 0.7000 a
## PH6 0.5550 b
6. Plot Tukey
## Tukey multiple comparisons of means
## 95% family-wise confidence level
##
## Fit: aov(formula = modelo)
##
## $PH
## diff lwr upr p adj
## PH6-PH5 -0.1450 -0.22459056 -0.06540944 0.0013870
## PH7-PH5 0.0325 -0.04709056 0.11209056 0.5994840
## PH8-PH5 0.0525 -0.02709056 0.13209056 0.2368653
## PH7-PH6 0.1775 0.09790944 0.25709056 0.0003124
## PH8-PH6 0.1975 0.11790944 0.27709056 0.0001366
## PH8-PH7 0.0200 -0.05959056 0.09959056 0.8596851
##
## $Marca
## diff lwr upr p adj
## B-A -0.1675 -0.247090564 -0.08790944 0.0004843
## C-A -0.1350 -0.214590564 -0.05540944 0.0022833
## D-A -0.0975 -0.177090564 -0.01790944 0.0175388
## C-B 0.0325 -0.047090564 0.11209056 0.5994840
## D-B 0.0700 -0.009590564 0.14959056 0.0879632
## D-C 0.0375 -0.042090564 0.11709056 0.4912626