Diseño Completamente al Azar
Nayarith Moreno
2023-09-18
Diseño Completamente al azar
Problema a analizar: Se desea probar el efecto de probar el efecto de diferentes fuentes de azúcar sobre la actividad enzimática de las xilanasas,. Variable Respuesta: actividad enzimática xilanasa en UI obtenidos al final del cultivo para cada tratamiento ensayado con diferentes fuentes de azúcar
## Fuente Xilanasa
## Length:12 Min. :145.0
## Class :character 1st Qu.:170.0
## Mode :character Median :230.0
## Mean :237.5
## 3rd Qu.:292.5
## Max. :360.0Cálculo de ANOVA y el Modelo Lineal
## Df Sum Sq Mean Sq F value Pr(>F)
## Fuente 5 63700 12740 122.3 5.95e-06 ***
## Residuals 6 625 104
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1##
## Call:
## lm(formula = Xilanasa ~ Fuente)
##
## Residuals:
## Min 1Q Median 3Q Max
## -12.5 -5.0 0.0 5.0 12.5
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 355.000 7.217 49.190 4.73e-09 ***
## FuenteGalactosa -60.000 10.206 -5.879 0.00107 **
## FuenteGlucosa -192.500 10.206 -18.861 1.43e-06 ***
## FuenteLactosa -150.000 10.206 -14.697 6.23e-06 ***
## FuenteSacarosa -205.000 10.206 -20.086 9.89e-07 ***
## FuenteXilosa -97.500 10.206 -9.553 7.51e-05 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 10.21 on 6 degrees of freedom
## Multiple R-squared: 0.9903, Adjusted R-squared: 0.9822
## F-statistic: 122.3 on 5 and 6 DF, p-value: 5.954e-06Supuestos del Diseño Experimental
1.Normalidad
##
## Shapiro-Wilk normality test
##
## data: residuals(fit)
## W = 0.90907, p-value = 0.2076De manera gráfica, se puede evidenciar la normalidad
## Warning: package 'car' was built under R version 4.4.2## Cargando paquete requerido: carData## Warning: package 'carData' was built under R version 4.4.2
## [1] 1 22.Homocedasticidad
##
## Bartlett test of homogeneity of variances
##
## data: Xilanasa by Fuente
## Bartlett's K-squared = 1.2674, df = 5, p-value = 0.93823.Independencia
Pruebas Aposteriori
## Warning: package 'agricolae' was built under R version 4.4.2##
## Study: fit ~ "Fuente"
##
## LSD t Test for Xilanasa
##
## Mean Square Error: 104.1667
##
## Fuente, means and individual ( 95 %) CI
##
## Xilanasa std r se LCL UCL Min Max Q25 Q50
## Fructosa 355.0 7.071068 2 7.216878 337.3409 372.6591 350 360 352.50 355.0
## Galactosa 295.0 7.071068 2 7.216878 277.3409 312.6591 290 300 292.50 295.0
## Glucosa 162.5 17.677670 2 7.216878 144.8409 180.1591 150 175 156.25 162.5
## Lactosa 205.0 7.071068 2 7.216878 187.3409 222.6591 200 210 202.50 205.0
## Sacarosa 150.0 7.071068 2 7.216878 132.3409 167.6591 145 155 147.50 150.0
## Xilosa 257.5 10.606602 2 7.216878 239.8409 275.1591 250 265 253.75 257.5
## Q75
## Fructosa 357.50
## Galactosa 297.50
## Glucosa 168.75
## Lactosa 207.50
## Sacarosa 152.50
## Xilosa 261.25
##
## Alpha: 0.05 ; DF Error: 6
## Critical Value of t: 2.446912
##
## least Significant Difference: 24.97369
##
## Treatments with the same letter are not significantly different.
##
## Xilanasa groups
## Fructosa 355.0 a
## Galactosa 295.0 b
## Xilosa 257.5 c
## Lactosa 205.0 d
## Glucosa 162.5 e
## Sacarosa 150.0 eOtra opcion cuando cambiamos el argumento “group” a F(false)
##
## Study: fit ~ "Fuente"
##
## LSD t Test for Xilanasa
##
## Mean Square Error: 104.1667
##
## Fuente, means and individual ( 95 %) CI
##
## Xilanasa std r se LCL UCL Min Max Q25 Q50
## Fructosa 355.0 7.071068 2 7.216878 337.3409 372.6591 350 360 352.50 355.0
## Galactosa 295.0 7.071068 2 7.216878 277.3409 312.6591 290 300 292.50 295.0
## Glucosa 162.5 17.677670 2 7.216878 144.8409 180.1591 150 175 156.25 162.5
## Lactosa 205.0 7.071068 2 7.216878 187.3409 222.6591 200 210 202.50 205.0
## Sacarosa 150.0 7.071068 2 7.216878 132.3409 167.6591 145 155 147.50 150.0
## Xilosa 257.5 10.606602 2 7.216878 239.8409 275.1591 250 265 253.75 257.5
## Q75
## Fructosa 357.50
## Galactosa 297.50
## Glucosa 168.75
## Lactosa 207.50
## Sacarosa 152.50
## Xilosa 261.25
##
## Alpha: 0.05 ; DF Error: 6
## Critical Value of t: 2.446912
##
## Comparison between treatments means
##
## difference pvalue signif. LCL UCL
## Fructosa - Galactosa 60.0 0.0011 ** 35.02631 84.97369
## Fructosa - Glucosa 192.5 0.0000 *** 167.52631 217.47369
## Fructosa - Lactosa 150.0 0.0000 *** 125.02631 174.97369
## Fructosa - Sacarosa 205.0 0.0000 *** 180.02631 229.97369
## Fructosa - Xilosa 97.5 0.0001 *** 72.52631 122.47369
## Galactosa - Glucosa 132.5 0.0000 *** 107.52631 157.47369
## Galactosa - Lactosa 90.0 0.0001 *** 65.02631 114.97369
## Galactosa - Sacarosa 145.0 0.0000 *** 120.02631 169.97369
## Galactosa - Xilosa 37.5 0.0104 * 12.52631 62.47369
## Glucosa - Lactosa -42.5 0.0059 ** -67.47369 -17.52631
## Glucosa - Sacarosa 12.5 0.2666 -12.47369 37.47369
## Glucosa - Xilosa -95.0 0.0001 *** -119.97369 -70.02631
## Lactosa - Sacarosa 55.0 0.0017 ** 30.02631 79.97369
## Lactosa - Xilosa -52.5 0.0021 ** -77.47369 -27.52631
## Sacarosa - Xilosa -107.5 0.0000 *** -132.47369 -82.52631