Datos extraídos directamente de los archivos Excel y embebidos en el script. Valores corruptos (seriales de fecha de Excel, errores de tipeo) fueron convertidos a
NA. Estomas excluidos por diseño. Pérdida de Electrolitos analizada únicamente para el Muestreo 3.
# Columnas: muestreo, tratamiento, n_hojas, long_pa_cm,
# diam_r_mm, pf_hojas_g, ps_hojas_g, pf_raiz_g, ps_raiz_g, af_cm2
# NA = valor ausente o corrupto (serial de fecha de Excel, error tipográfico)
df_crec <- tribble(
~muestreo, ~trat, ~n_hojas, ~long_pa, ~diam_r, ~pf_hoj, ~ps_hoj, ~pf_raiz, ~ps_raiz, ~af,
# ── MUESTREO 1 ──────────────────────────────────────────────────────────────
"Muestreo 1","T1", 7, 12.9, 36.0, 7.60, 0.69, 22.60, 0.9558, 180.84,
"Muestreo 1","T1", 8, 13.8, 23.2, 8.80, 0.86, 12.56, 0.8187, 202.49,
"Muestreo 1","T1", 7, 13.9, 31.7, 8.84, 0.73, 22.27, 1.0649, 210.55,
"Muestreo 1","T1", 8, 12.3, 31.9, 8.66, 0.76, 18.90, 1.0431, 198.06,
"Muestreo 1","T2", 7, 15.1, 40.4, 8.81, 0.83, 26.75, 1.5481, 211.99,
"Muestreo 1","T2", 9, 14.0, 37.9, 9.31, 0.80, 27.76, 1.3736, 217.85,
"Muestreo 1","T2", 8, 14.4, 39.9, 9.31, 0.84, 24.20, 1.1542, 217.62,
"Muestreo 1","T2", 9, 14.2, 39.1, 9.07, 0.82, 26.70, 1.1029, 212.58,
"Muestreo 1","T3", 8, 15.8, 33.5, 9.47, 0.82, 20.10, 0.8739, 220.32,
"Muestreo 1","T3", 8, 14.6, 32.1, 9.43, 0.85, 17.20, 0.8547, 218.27,
"Muestreo 1","T3", 8, 14.1, 31.8, 8.91, 0.80, 18.68, 0.9138, 207.93,
"Muestreo 1","T3", 7, 15.0, 32.4, 8.89, 0.76, 19.08, 1.0306, 216.44,
"Muestreo 1","T4", 9, 14.2, 31.0, 8.77, 0.77, 18.27, 0.8722, 208.381,
"Muestreo 1","T4", 8, 13.5, 24.8, 8.55, 0.86, 10.31, 0.6843, 96.740,
"Muestreo 1","T4", 7, 14.0, 32.4, 8.18, 0.74, 19.12, 0.8551, 194.67,
"Muestreo 1","T4", 8, 13.7, 30.4, 8.81, 0.79, 16.39, 0.9195, 203.61,
# ── MUESTREO 2 ──────────────────────────────────────────────────────────────
"Muestreo 2","T1", 8, 14.8, 42.8, 9.86, 0.86, 37.33, 1.7414, 226.37,
"Muestreo 2","T1", 8, 15.7, 48.4, 11.68, 1.05, 53.00, 1.4191, 273.47,
"Muestreo 2","T1", 8, 15.4, 48.7, 11.04, 1.03, 42.19, 1.5903, 269.42,
"Muestreo 2","T1", 9, 16.8, 47.1, 12.84, 1.16, 44.24, 2.2917, 308.39,
"Muestreo 2","T2", 9, 14.3, 40.0, 11.26, 1.06, 28.08, 1.9556, 265.60,
"Muestreo 2","T2", 7, 14.7, 41.1, 10.70, 1.00, 29.83, 1.7333, 248.11,
"Muestreo 2","T2", 8, 15.1, 39.6, 10.93, 1.02, 23.48, 1.7129, 232.08,
"Muestreo 2","T2", 8, 16.1, 37.0, 11.01, 1.04, 26.86, 2.0629, 255.44,
"Muestreo 2","T3", 9, 15.2, 37.9, 11.29, 1.00, 28.10, 1.6266, 250.07,
"Muestreo 2","T3", 8, 14.7, 40.3, 11.21, 1.08, 25.86, 1.7912, 268.00,
"Muestreo 2","T3", 9, 15.8, 45.6, 10.44, 0.92, 36.35, 1.7539, 246.35,
"Muestreo 2","T3", 7, 15.7, 31.7, 11.86, 1.16, 16.63, 1.3826, 273.90,
"Muestreo 2","T4", 9, 16.4, 42.1, 9.50, 0.85, 33.37, 1.4067, 228.40,
"Muestreo 2","T4", 7, 15.1, 31.7, 10.53, 0.97, 22.00, 1.3220, 257.31,
"Muestreo 2","T4", 9, 14.5, 37.9, 10.32, 0.96, 24.91, 1.5388, 236.04,
"Muestreo 2","T4", 9, 14.1, 31.6, 11.99, 1.08, 21.68, 1.1615, 283.50,
# ── MUESTREO 3 ──────────────────────────────────────────────────────────────
"Muestreo 3","T1", 9, 16.4, 42.5, 13.31, 1.23, 41.27, 2.6166, 282.98,
"Muestreo 3","T1", 10, 16.0, 47.5, 14.98, 1.51, 53.69, 3.1114, 341.10,
"Muestreo 3","T1", 9, 16.2, 54.2, 13.93, 1.42, 65.81, 3.5401, 327.29,
"Muestreo 3","T1", 8, 15.7, 47.4, 11.00, 1.12, 40.55, 2.8235, 253.60,
"Muestreo 3","T2", 7, 14.5, 42.1, 10.15, 1.02, 30.54, 2.1462, 236.66,
"Muestreo 3","T2", 6, 15.2, 43.0, 9.35, 1.15, 31.53, 1.9389, 214.73,
"Muestreo 3","T2", 8, 15.3, 41.6, 10.65, 0.85, 27.80, 2.1330, 243.60,
"Muestreo 3","T2", 7, 16.0, 47.1, 9.65, 0.99, 37.22, 2.3685, 226.74,
"Muestreo 3","T3", 8, 16.5, 37.9, 10.91, 1.09, 23.84, 2.0379, 256.02,
"Muestreo 3","T3", 8, 15.3, 47.1, 11.34, 1.22, 36.25, 2.6099, 258.82,
"Muestreo 3","T3", 7, 16.3, 45.3, 10.98, 1.11, 32.26, 2.2936, 258.89,
"Muestreo 3","T3", 7, 14.5, 45.7, 9.27, 0.99, 33.57, 2.5239, 219.39,
"Muestreo 3","T4", 8, 15.5, 36.4, 10.97, 1.30, 32.59, 1.7842, 264.44,
"Muestreo 3","T4", 8, 14.9, 41.2, 10.80, 1.07, 29.61, 2.2965, 237.67,
"Muestreo 3","T4", 7, 15.8, 40.1, 9.85, 0.83, 30.80, 2.2289, 229.33,
"Muestreo 3","T4", 6, 15.9, 39.6, 12.21, 1.18, 26.71, 2.0960, 277.65,
# ── MUESTREO 4 ──────────────────────────────────────────────────────────────
"Muestreo 4","T1", 9, 16.8, 59.9, 17.11, 1.81, 64.56, 4.8800, 364.54,
"Muestreo 4","T1", 9, 16.3, 45.1, 17.51, 2.07, 56.65, 4.7300, 381.49,
"Muestreo 4","T1", 9, 16.0, 59.4, 14.00, 1.49, 54.71, 5.0000, 309.44,
"Muestreo 4","T1", 9, 16.0, 57.0, 15.39, 1.82, 67.31, 4.1700, 325.67,
"Muestreo 4","T2", 7, 16.8, 44.7, 13.27, 1.61, 30.88, 3.0100, 286.31,
"Muestreo 4","T2", 7, 14.2, 51.6, 9.90, 1.24, 35.82, 3.0100, 227.12,
"Muestreo 4","T2", 7, 14.9, 43.5, 8.81, 1.23, 34.08, 2.7100, 242.11,
"Muestreo 4","T2", 7, 15.8, 41.8, 10.14, 1.28, 30.41, 2.8100, 241.22,
"Muestreo 4","T3", 6, 16.2, 47.4, 10.37, 1.36, 29.71, 3.0500, 250.14,
"Muestreo 4","T3", 6, 16.2, 34.0, 11.40, 1.40, 21.16, 2.1800, 266.19,
"Muestreo 4","T3", 6, 16.5, 36.4, 11.96, 1.49, 28.46, 2.7000, 267.98,
"Muestreo 4","T3", 7, 15.0, 49.0, 10.92, 1.30, 38.50, 3.1300, 250.73,
"Muestreo 4","T4", 7, 14.7, 37.7, 11.14, 1.29, 29.54, 2.7300, 238.98,
"Muestreo 4","T4", 7, 14.9, 33.8, 11.31, 1.35, 24.63, 2.3600, 256.99,
"Muestreo 4","T4", 6, 15.1, 28.0, 10.77, 1.19, 16.66, 1.6900, 210.49,
"Muestreo 4","T4", 7, 14.9, 34.2, 11.22, 1.33, 22.96, 2.3700, 253.16
) %>%
mutate(
muestreo = factor(muestreo, levels = paste("Muestreo", 1:4)),
trat = factor(trat, levels = c("T1","T2","T3","T4"))
)df_spad <- tribble(
~muestreo, ~trat, ~spad,
# Muestreo 1
"Muestreo 1","T1", 43.92,
"Muestreo 1","T1", 42.40,
"Muestreo 1","T1", 42.52,
"Muestreo 1","T1", 42.43,
"Muestreo 1","T2", 39.93,
"Muestreo 1","T2", 43.02,
"Muestreo 1","T2", 44.45,
"Muestreo 1","T2", 43.07,
"Muestreo 1","T3", 40.41,
"Muestreo 1","T3", 40.30,
"Muestreo 1","T3", 42.22,
"Muestreo 1","T3", 43.49,
"Muestreo 1","T4", 38.32,
"Muestreo 1","T4", 44.38,
"Muestreo 1","T4", 44.17,
"Muestreo 1","T4", 41.08,
# Muestreo 2
"Muestreo 2","T1", 43.19,
"Muestreo 2","T1", 45.44,
"Muestreo 2","T1", 41.95,
"Muestreo 2","T1", 42.85,
"Muestreo 2","T2", 42.64,
"Muestreo 2","T2", 44.48,
"Muestreo 2","T2", 44.39,
"Muestreo 2","T2", 41.48,
"Muestreo 2","T3", 43.06,
"Muestreo 2","T3", 45.57,
"Muestreo 2","T3", 46.88,
"Muestreo 2","T3", 40.12,
"Muestreo 2","T4", 43.17,
"Muestreo 2","T4", 44.64,
"Muestreo 2","T4", 39.17,
"Muestreo 2","T4", 41.00,
# Muestreo 3
"Muestreo 3","T1", 42.48,
"Muestreo 3","T1", 47.59,
"Muestreo 3","T1", 46.87,
"Muestreo 3","T1", 42.57,
"Muestreo 3","T2", 41.95,
"Muestreo 3","T2", 41.33,
"Muestreo 3","T2", 39.24,
"Muestreo 3","T2", 46.55,
"Muestreo 3","T3", 37.90,
"Muestreo 3","T3", 42.87,
"Muestreo 3","T3", 45.30,
"Muestreo 3","T3", 47.03,
"Muestreo 3","T4", 45.35,
"Muestreo 3","T4", 46.95,
"Muestreo 3","T4", 38.69,
"Muestreo 3","T4", 42.02,
# Muestreo 4
"Muestreo 4","T1", 44.32,
"Muestreo 4","T1", 47.02,
"Muestreo 4","T1", 38.25,
"Muestreo 4","T1", 44.70,
"Muestreo 4","T2", 42.15,
"Muestreo 4","T2", 48.26,
"Muestreo 4","T2", 36.09,
"Muestreo 4","T2", 38.39,
"Muestreo 4","T3", 43.66,
"Muestreo 4","T3", 37.45,
"Muestreo 4","T3", 44.86,
"Muestreo 4","T3", 39.44,
"Muestreo 4","T4", 50.47,
"Muestreo 4","T4", 39.14,
"Muestreo 4","T4", 38.43,
"Muestreo 4","T4", 43.66
) %>%
mutate(muestreo = factor(muestreo, levels = paste("Muestreo", 1:4)),
trat = factor(trat, levels = c("T1","T2","T3","T4")))
# ──────────────────────────────────────────────────────────────────────────────
df_cra <- tribble(
~muestreo, ~trat, ~cra,
# Muestreo 1
"Muestreo 1","T1", 24.97,
"Muestreo 1","T1", 41.67,
"Muestreo 1","T1", 21.51,
"Muestreo 1","T1", 24.53,
"Muestreo 1","T2", 41.46,
"Muestreo 1","T2", 59.77,
"Muestreo 1","T2", 54.28,
"Muestreo 1","T2", 59.24,
"Muestreo 1","T3", 43.97,
"Muestreo 1","T3", 31.04,
"Muestreo 1","T3", 24.92,
"Muestreo 1","T3", 38.90,
"Muestreo 1","T4", 52.73,
"Muestreo 1","T4", 54.80,
"Muestreo 1","T4", 63.18,
"Muestreo 1","T4", 41.64,
# Muestreo 2
"Muestreo 2","T1", 27.78,
"Muestreo 2","T1", 29.15,
"Muestreo 2","T1", 23.82,
"Muestreo 2","T1", 61.18,
"Muestreo 2","T2", 31.70,
"Muestreo 2","T2", 26.87,
"Muestreo 2","T2", 26.36,
"Muestreo 2","T2", 34.82,
"Muestreo 2","T3", 45.38,
"Muestreo 2","T3", 33.05,
"Muestreo 2","T3", 28.96,
"Muestreo 2","T3", 33.79,
"Muestreo 2","T4", 37.58,
"Muestreo 2","T4", 31.32,
"Muestreo 2","T4", 39.25,
"Muestreo 2","T4", 34.08,
# Muestreo 3
"Muestreo 3","T1", 43.68,
"Muestreo 3","T1", 48.02,
"Muestreo 3","T1", 64.85,
"Muestreo 3","T1", 43.01,
"Muestreo 3","T2", 61.36,
"Muestreo 3","T2", 60.77,
"Muestreo 3","T2", 62.33,
"Muestreo 3","T2", 54.21,
"Muestreo 3","T3", 66.67,
"Muestreo 3","T3", 62.43,
"Muestreo 3","T3", 62.67,
"Muestreo 3","T3", 69.45,
"Muestreo 3","T4", 64.41,
"Muestreo 3","T4", 62.28,
"Muestreo 3","T4", 54.70,
"Muestreo 3","T4", 59.02,
# Muestreo 4
"Muestreo 4","T1", 71.89,
"Muestreo 4","T1", 74.44,
"Muestreo 4","T1", 79.51,
"Muestreo 4","T1", 82.82,
"Muestreo 4","T2", 69.71,
"Muestreo 4","T2", 63.79,
"Muestreo 4","T2", 70.45,
"Muestreo 4","T2", 57.27,
"Muestreo 4","T3", 59.58,
"Muestreo 4","T3", 75.00,
"Muestreo 4","T3", 70.53,
"Muestreo 4","T3", 66.28,
"Muestreo 4","T4", 74.93,
"Muestreo 4","T4", 71.02,
"Muestreo 4","T4", 76.92,
"Muestreo 4","T4", 76.43
) %>%
mutate(muestreo = factor(muestreo, levels = paste("Muestreo", 1:4)),
trat = factor(trat, levels = c("T1","T2","T3","T4")))
# ──────────────────────────────────────────────────────────────────────────────
df_temp <- tribble(
~muestreo, ~trat, ~temp,
# Muestreo 1
"Muestreo 1","T1", 13.64,
"Muestreo 1","T1", 10.14,
"Muestreo 1","T1", 10.92,
"Muestreo 1","T1", 13.48,
"Muestreo 1","T2", 13.22,
"Muestreo 1","T2", 10.78,
"Muestreo 1","T2", 10.00,
"Muestreo 1","T2", 13.20,
"Muestreo 1","T3", 11.76,
"Muestreo 1","T3", 12.24,
"Muestreo 1","T3", 13.98,
"Muestreo 1","T3", 12.46,
"Muestreo 1","T4", 11.52,
"Muestreo 1","T4", 11.04,
"Muestreo 1","T4", 12.62,
"Muestreo 1","T4", 12.68,
# Muestreo 2
"Muestreo 2","T1", 17.78,
"Muestreo 2","T1", 19.96,
"Muestreo 2","T1", 19.54,
"Muestreo 2","T1", 19.88,
"Muestreo 2","T2", 18.62,
"Muestreo 2","T2", 16.88,
"Muestreo 2","T2", 18.20,
"Muestreo 2","T2", 17.58,
"Muestreo 2","T3", 18.14,
"Muestreo 2","T3", 18.90,
"Muestreo 2","T3", 15.22,
"Muestreo 2","T3", 17.46,
"Muestreo 2","T4", 15.60,
"Muestreo 2","T4", 17.52,
"Muestreo 2","T4", 15.86,
"Muestreo 2","T4", 15.12,
# Muestreo 3
"Muestreo 3","T1", 13.40,
"Muestreo 3","T1", 12.80,
"Muestreo 3","T1", 13.50,
"Muestreo 3","T1", 12.90,
"Muestreo 3","T2", 13.80,
"Muestreo 3","T2", 12.80,
"Muestreo 3","T2", 12.90,
"Muestreo 3","T2", 12.30,
"Muestreo 3","T3", 13.30,
"Muestreo 3","T3", 13.10,
"Muestreo 3","T3", 13.10,
"Muestreo 3","T3", 13.20,
"Muestreo 3","T4", 13.60,
"Muestreo 3","T4", 13.20,
"Muestreo 3","T4", 13.50,
"Muestreo 3","T4", 12.70,
# Muestreo 4
"Muestreo 4","T1", 21.00,
"Muestreo 4","T1", 19.40,
"Muestreo 4","T1", 17.30,
"Muestreo 4","T1", 15.06,
"Muestreo 4","T2", 15.30,
"Muestreo 4","T2", 14.40,
"Muestreo 4","T2", 14.76,
"Muestreo 4","T2", 15.74,
"Muestreo 4","T3", 15.56,
"Muestreo 4","T3", 17.28,
"Muestreo 4","T3", 13.68,
"Muestreo 4","T3", 13.56,
"Muestreo 4","T4", 12.32,
"Muestreo 4","T4", 13.80,
"Muestreo 4","T4", 12.08,
"Muestreo 4","T4", 12.08
) %>%
mutate(muestreo = factor(muestreo, levels = paste("Muestreo", 1:4)),
trat = factor(trat, levels = c("T1","T2","T3","T4")))# PE (%) = (CE_10min / CE_80°C) × 100 — solo Muestreo 3 tiene datos válidos
df_pe <- tribble(
~muestreo, ~trat, ~pe,
"Muestreo 3","T1", 73.41,
"Muestreo 3","T1", 73.87,
"Muestreo 3","T1", 76.00,
"Muestreo 3","T1", 69.46,
"Muestreo 3","T2", 77.57,
"Muestreo 3","T2", 79.28,
"Muestreo 3","T2", 82.77,
"Muestreo 3","T2", 78.04,
"Muestreo 3","T3", 76.38,
"Muestreo 3","T3", 75.53,
"Muestreo 3","T3", 75.43,
"Muestreo 3","T3", 74.58,
"Muestreo 3","T4", 81.07,
"Muestreo 3","T4", 76.20,
"Muestreo 3","T4", 82.28,
"Muestreo 3","T4", 77.85
) %>%
mutate(muestreo = factor(muestreo, levels = paste("Muestreo", 1:4)),
trat = factor(trat, levels = c("T1","T2","T3","T4")))PAL <- c(T1 = "#2E86AB", T2 = "#E84855", T3 = "#3BB273", T4 = "#F18F01")
# ─────────────────────────────────────────────────────────────────────────────
# Función principal: tabla descriptiva + ANOVA + Tukey + gráfico de barras
# ─────────────────────────────────────────────────────────────────────────────
analizar <- function(df, var, etiqueta, unidad = "") {
eje_y <- if (nchar(unidad) > 0) paste0(etiqueta, " (", unidad, ")") else etiqueta
# ── 1. Estadística descriptiva ──────────────────────────────────────────────
desc <- df %>%
filter(!is.na(.data[[var]])) %>%
group_by(muestreo, trat) %>%
summarise(n = n(),
Media = round(mean(.data[[var]]), 3),
DE = round(sd(.data[[var]]), 3),
.groups = "drop")
print(
kable(desc, caption = paste("Estadística descriptiva —", etiqueta),
col.names = c("Muestreo","Tratamiento","n","Media","DE"),
align = "llccc") %>%
kable_styling(bootstrap_options = c("striped","hover","condensed"),
full_width = FALSE, position = "left", font_size = 13) %>%
row_spec(0, bold = TRUE, background = "#2C3E50", color = "white")
)
# ── 2. ANOVA + Tukey por muestreo ───────────────────────────────────────────
muestreos <- levels(droplevels(df$muestreo))
letras_all <- tibble()
for (m in muestreos) {
sub <- df %>%
filter(muestreo == m, !is.na(.data[[var]])) %>%
mutate(trat = factor(trat))
if (nlevels(sub$trat) < 2 || nrow(sub) < 4) next
mod <- aov(as.formula(paste0("`", var, "` ~ trat")), data = sub)
res <- summary(mod)[[1]]
p_val <- res[["Pr(>F)"]][1]
f_val <- res[["F value"]][1]
gl_t <- res[["Df"]][1]
gl_r <- res[["Df"]][2]
sig <- !is.na(p_val) && p_val < 0.05
cat(sprintf("\n**%s** — F(%d,%d) = %.3f, *p* = %.4f %s\n\n",
m, gl_t, gl_r, f_val, p_val,
ifelse(sig, "→ **Significativo ✓**", "→ ns")))
tbl_aov <- as.data.frame(res) %>%
rownames_to_column("Fuente") %>%
mutate(Fuente = c("Tratamiento","Residuos"))
print(
kable(tbl_aov, digits = 4,
col.names = c("Fuente","GL","SC","CM","F","p-valor"),
caption = paste("ANOVA —", m), align = "lccccc") %>%
kable_styling(bootstrap_options = c("striped","condensed"),
full_width = FALSE, position = "left", font_size = 12)
)
if (sig) {
tk <- HSD.test(mod, "trat", group = TRUE, console = FALSE)
lt <- tk$groups %>%
rownames_to_column("trat") %>%
rename(letra = groups) %>%
mutate(muestreo = factor(m, levels = paste("Muestreo", 1:4)))
print(
kable(lt %>% select(trat, .data[[var]], letra),
digits = 3,
col.names = c("Tratamiento","Media","Grupo Tukey"),
caption = paste("Tukey HSD —", m), align = "lcc") %>%
kable_styling(bootstrap_options = c("striped","hover","condensed"),
full_width = FALSE, position = "left", font_size = 12) %>%
column_spec(3, bold = TRUE, color = "#2980B9")
)
letras_all <- bind_rows(letras_all, lt)
} else {
lt_ns <- sub %>%
distinct(trat) %>%
mutate(letra = "ns",
muestreo = factor(m, levels = paste("Muestreo", 1:4)))
lt_ns[[var]] <- mean(sub[[var]], na.rm = TRUE)
letras_all <- bind_rows(letras_all, lt_ns)
}
}
# ── 3. Gráfico de barras (media ± EE) con letras Tukey ─────────────────────
resumen_plot <- df %>%
filter(!is.na(.data[[var]])) %>%
group_by(muestreo, trat) %>%
summarise(
media = mean(.data[[var]], na.rm = TRUE),
ee = sd(.data[[var]], na.rm = TRUE) / sqrt(n()),
.groups = "drop"
)
# Posición y de las letras: sobre la barra + error bar + margen
ypos <- resumen_plot %>%
group_by(muestreo) %>%
summarise(
y_max = max(media + ee, na.rm = TRUE),
y_rango = diff(range(media, na.rm = TRUE)),
.groups = "drop"
)
if (nrow(letras_all) > 0) {
letras_plot <- letras_all %>%
left_join(ypos, by = "muestreo") %>%
mutate(
y_letra = y_max + y_rango * 0.12,
trat = factor(trat, levels = c("T1","T2","T3","T4"))
)
}
p <- ggplot(resumen_plot, aes(x = trat, y = media, fill = trat)) +
geom_col(alpha = 0.85, color = "grey30", linewidth = 0.4, width = 0.65) +
geom_errorbar(aes(ymin = media - ee, ymax = media + ee),
width = 0.2, color = "grey20", linewidth = 0.6) +
facet_wrap(~ muestreo, nrow = 1, scales = "free_y") +
scale_fill_manual(values = PAL, name = "Tratamiento") +
labs(
title = etiqueta,
subtitle = "Barras = media ± EE; letras distintas = diferencias significativas (Tukey HSD, α = 0.05); 'ns' = no significativo",
x = "Tratamiento",
y = eje_y
) +
theme_bw(base_size = 12) +
theme(
plot.title = element_text(face = "bold", size = 14),
plot.subtitle = element_text(size = 9, color = "grey50"),
strip.background = element_rect(fill = "#2C3E50", color = NA),
strip.text = element_text(color = "white", face = "bold"),
legend.position = "bottom",
panel.grid.minor = element_blank(),
panel.grid.major.x = element_blank()
)
if (nrow(letras_all) > 0 && exists("letras_plot")) {
p <- p + geom_text(
data = letras_plot,
aes(x = trat, y = y_letra, label = letra),
inherit.aes = FALSE,
size = 4.5,
fontface = "bold",
color = "#1A1A2E"
)
}
print(p)
cat("\n\n---\n\n")
invisible(NULL)
}| Muestreo | Tratamiento | n | Media | DE |
|---|---|---|---|---|
| Muestreo 1 | T1 | 4 | 7.50 | 0.577 |
| Muestreo 1 | T2 | 4 | 8.25 | 0.957 |
| Muestreo 1 | T3 | 4 | 7.75 | 0.500 |
| Muestreo 1 | T4 | 4 | 8.00 | 0.816 |
| Muestreo 2 | T1 | 4 | 8.25 | 0.500 |
| Muestreo 2 | T2 | 4 | 8.00 | 0.816 |
| Muestreo 2 | T3 | 4 | 8.25 | 0.957 |
| Muestreo 2 | T4 | 4 | 8.50 | 1.000 |
| Muestreo 3 | T1 | 4 | 9.00 | 0.816 |
| Muestreo 3 | T2 | 4 | 7.00 | 0.816 |
| Muestreo 3 | T3 | 4 | 7.50 | 0.577 |
| Muestreo 3 | T4 | 4 | 7.25 | 0.957 |
| Muestreo 4 | T1 | 4 | 9.00 | 0.000 |
| Muestreo 4 | T2 | 4 | 7.00 | 0.000 |
| Muestreo 4 | T3 | 4 | 6.25 | 0.500 |
| Muestreo 4 | T4 | 4 | 6.75 | 0.500 |
Muestreo 1 — F(3,12) = 0.769, p = 0.5330 → ns
| Fuente | GL | SC | CM | F | p-valor |
|---|---|---|---|---|---|
| Tratamiento | 3 | 1.25 | 0.4167 | 0.7692 | 0.533 |
| Residuos | 12 | 6.50 | 0.5417 | NA | NA |
Muestreo 2 — F(3,12) = 0.235, p = 0.8700 → ns
| Fuente | GL | SC | CM | F | p-valor |
|---|---|---|---|---|---|
| Tratamiento | 3 | 0.5 | 0.1667 | 0.2353 | 0.87 |
| Residuos | 12 | 8.5 | 0.7083 | NA | NA |
Muestreo 3 — F(3,12) = 5.000, p = 0.0178 → Significativo ✓
| Fuente | GL | SC | CM | F | p-valor |
|---|---|---|---|---|---|
| Tratamiento | 3 | 9.6875 | 3.2292 | 5 | 0.0178 |
| Residuos | 12 | 7.7500 | 0.6458 | NA | NA |
| Tratamiento | Media | Grupo Tukey |
|---|---|---|
| T1 | 9.00 | a |
| T3 | 7.50 | ab |
| T4 | 7.25 | b |
| T2 | 7.00 | b |
Muestreo 4 — F(3,12) = 46.667, p = 0.0000 → Significativo ✓
| Fuente | GL | SC | CM | F | p-valor |
|---|---|---|---|---|---|
| Tratamiento | 3 | 17.5 | 5.8333 | 46.6667 | 0 |
| Residuos | 12 | 1.5 | 0.1250 | NA | NA |
| Tratamiento | Media | Grupo Tukey |
|---|---|---|
| T1 | 9.00 | a |
| T2 | 7.00 | b |
| T4 | 6.75 | bc |
| T3 | 6.25 | c |
| Muestreo | Tratamiento | n | Media | DE |
|---|---|---|---|---|
| Muestreo 1 | T1 | 4 | 13.225 | 0.763 |
| Muestreo 1 | T2 | 4 | 14.425 | 0.479 |
| Muestreo 1 | T3 | 4 | 14.875 | 0.718 |
| Muestreo 1 | T4 | 4 | 13.850 | 0.311 |
| Muestreo 2 | T1 | 4 | 15.675 | 0.838 |
| Muestreo 2 | T2 | 4 | 15.050 | 0.772 |
| Muestreo 2 | T3 | 4 | 15.350 | 0.507 |
| Muestreo 2 | T4 | 4 | 15.025 | 1.005 |
| Muestreo 3 | T1 | 4 | 16.075 | 0.299 |
| Muestreo 3 | T2 | 4 | 15.250 | 0.614 |
| Muestreo 3 | T3 | 4 | 15.650 | 0.929 |
| Muestreo 3 | T4 | 4 | 15.525 | 0.450 |
| Muestreo 4 | T1 | 4 | 16.275 | 0.377 |
| Muestreo 4 | T2 | 4 | 15.425 | 1.127 |
| Muestreo 4 | T3 | 4 | 15.975 | 0.665 |
| Muestreo 4 | T4 | 4 | 14.900 | 0.163 |
Muestreo 1 — F(3,12) = 5.745, p = 0.0113 → Significativo ✓
| Fuente | GL | SC | CM | F | p-valor |
|---|---|---|---|---|---|
| Tratamiento | 3 | 6.1369 | 2.0456 | 5.7455 | 0.0113 |
| Residuos | 12 | 4.2725 | 0.3560 | NA | NA |
| Tratamiento | Media | Grupo Tukey |
|---|---|---|
| T3 | 14.875 | a |
| T2 | 14.425 | ab |
| T4 | 13.850 | ab |
| T1 | 13.225 | b |
Muestreo 2 — F(3,12) = 0.580, p = 0.6395 → ns
| Fuente | GL | SC | CM | F | p-valor |
|---|---|---|---|---|---|
| Tratamiento | 3 | 1.115 | 0.3717 | 0.5796 | 0.6395 |
| Residuos | 12 | 7.695 | 0.6412 | NA | NA |
Muestreo 3 — F(3,12) = 1.232, p = 0.3410 → ns
| Fuente | GL | SC | CM | F | p-valor |
|---|---|---|---|---|---|
| Tratamiento | 3 | 1.415 | 0.4717 | 1.2318 | 0.341 |
| Residuos | 12 | 4.595 | 0.3829 | NA | NA |
Muestreo 4 — F(3,12) = 3.145, p = 0.0650 → ns
| Fuente | GL | SC | CM | F | p-valor |
|---|---|---|---|---|---|
| Tratamiento | 3 | 4.4369 | 1.4790 | 3.1453 | 0.065 |
| Residuos | 12 | 5.6425 | 0.4702 | NA | NA |
| Muestreo | Tratamiento | n | Media | DE |
|---|---|---|---|---|
| Muestreo 1 | T1 | 4 | 30.700 | 5.378 |
| Muestreo 1 | T2 | 4 | 39.325 | 1.090 |
| Muestreo 1 | T3 | 4 | 32.450 | 0.742 |
| Muestreo 1 | T4 | 4 | 29.650 | 3.340 |
| Muestreo 2 | T1 | 4 | 46.750 | 2.723 |
| Muestreo 2 | T2 | 4 | 39.425 | 1.737 |
| Muestreo 2 | T3 | 4 | 38.875 | 5.764 |
| Muestreo 2 | T4 | 4 | 35.825 | 5.117 |
| Muestreo 3 | T1 | 4 | 47.900 | 4.805 |
| Muestreo 3 | T2 | 4 | 43.450 | 2.501 |
| Muestreo 3 | T3 | 4 | 44.000 | 4.139 |
| Muestreo 3 | T4 | 4 | 39.325 | 2.061 |
| Muestreo 4 | T1 | 4 | 55.350 | 6.950 |
| Muestreo 4 | T2 | 4 | 45.400 | 4.301 |
| Muestreo 4 | T3 | 4 | 41.700 | 7.597 |
| Muestreo 4 | T4 | 4 | 33.425 | 4.019 |
Muestreo 1 — F(3,12) = 7.245, p = 0.0049 → Significativo ✓
| Fuente | GL | SC | CM | F | p-valor |
|---|---|---|---|---|---|
| Tratamiento | 3 | 227.2669 | 75.7556 | 7.2454 | 0.0049 |
| Residuos | 12 | 125.4675 | 10.4556 | NA | NA |
| Tratamiento | Media | Grupo Tukey |
|---|---|---|
| T2 | 39.325 | a |
| T3 | 32.450 | b |
| T1 | 30.700 | b |
| T4 | 29.650 | b |
Muestreo 2 — F(3,12) = 4.917, p = 0.0187 → Significativo ✓
| Fuente | GL | SC | CM | F | p-valor |
|---|---|---|---|---|---|
| Tratamiento | 3 | 257.5919 | 85.864 | 4.9175 | 0.0187 |
| Residuos | 12 | 209.5325 | 17.461 | NA | NA |
| Tratamiento | Media | Grupo Tukey |
|---|---|---|
| T1 | 46.750 | a |
| T2 | 39.425 | ab |
| T3 | 38.875 | ab |
| T4 | 35.825 | b |
Muestreo 3 — F(3,12) = 3.883, p = 0.0376 → Significativo ✓
| Fuente | GL | SC | CM | F | p-valor |
|---|---|---|---|---|---|
| Tratamiento | 3 | 147.7169 | 49.2390 | 3.8828 | 0.0376 |
| Residuos | 12 | 152.1775 | 12.6815 | NA | NA |
| Tratamiento | Media | Grupo Tukey |
|---|---|---|
| T1 | 47.900 | a |
| T3 | 44.000 | ab |
| T2 | 43.450 | ab |
| T4 | 39.325 | b |
Muestreo 4 — F(3,12) = 9.399, p = 0.0018 → Significativo ✓
| Fuente | GL | SC | CM | F | p-valor |
|---|---|---|---|---|---|
| Tratamiento | 3 | 991.5969 | 330.5323 | 9.3991 | 0.0018 |
| Residuos | 12 | 421.9975 | 35.1665 | NA | NA |
| Tratamiento | Media | Grupo Tukey |
|---|---|---|
| T1 | 55.350 | a |
| T2 | 45.400 | ab |
| T3 | 41.700 | b |
| T4 | 33.425 | b |
| Muestreo | Tratamiento | n | Media | DE |
|---|---|---|---|---|
| Muestreo 1 | T1 | 4 | 8.475 | 0.588 |
| Muestreo 1 | T2 | 4 | 9.125 | 0.239 |
| Muestreo 1 | T3 | 4 | 9.175 | 0.318 |
| Muestreo 1 | T4 | 4 | 8.578 | 0.289 |
| Muestreo 2 | T1 | 4 | 11.355 | 1.244 |
| Muestreo 2 | T2 | 4 | 10.975 | 0.231 |
| Muestreo 2 | T3 | 4 | 11.200 | 0.583 |
| Muestreo 2 | T4 | 4 | 10.585 | 1.037 |
| Muestreo 3 | T1 | 4 | 13.305 | 1.684 |
| Muestreo 3 | T2 | 4 | 9.950 | 0.572 |
| Muestreo 3 | T3 | 4 | 10.625 | 0.923 |
| Muestreo 3 | T4 | 4 | 10.957 | 0.970 |
| Muestreo 4 | T1 | 4 | 16.003 | 1.621 |
| Muestreo 4 | T2 | 4 | 10.530 | 1.916 |
| Muestreo 4 | T3 | 4 | 11.162 | 0.678 |
| Muestreo 4 | T4 | 4 | 11.110 | 0.237 |
Muestreo 1 — F(3,12) = 3.590, p = 0.0464 → Significativo ✓
| Fuente | GL | SC | CM | F | p-valor |
|---|---|---|---|---|---|
| Tratamiento | 3 | 1.5823 | 0.5274 | 3.5904 | 0.0464 |
| Residuos | 12 | 1.7628 | 0.1469 | NA | NA |
| Tratamiento | Media | Grupo Tukey |
|---|---|---|
| T3 | 9.175 | a |
| T2 | 9.125 | a |
| T4 | 8.578 | a |
| T1 | 8.475 | a |
Muestreo 2 — F(3,12) = 0.593, p = 0.6313 → ns
| Fuente | GL | SC | CM | F | p-valor |
|---|---|---|---|---|---|
| Tratamiento | 3 | 1.3423 | 0.4474 | 0.5932 | 0.6313 |
| Residuos | 12 | 9.0511 | 0.7543 | NA | NA |
Muestreo 3 — F(3,12) = 6.870, p = 0.0060 → Significativo ✓
| Fuente | GL | SC | CM | F | p-valor |
|---|---|---|---|---|---|
| Tratamiento | 3 | 25.5304 | 8.5101 | 6.8704 | 0.006 |
| Residuos | 12 | 14.8641 | 1.2387 | NA | NA |
| Tratamiento | Media | Grupo Tukey |
|---|---|---|
| T1 | 13.305 | a |
| T4 | 10.957 | b |
| T3 | 10.625 | b |
| T2 | 9.950 | b |
Muestreo 4 — F(3,12) = 15.269, p = 0.0002 → Significativo ✓
| Fuente | GL | SC | CM | F | p-valor |
|---|---|---|---|---|---|
| Tratamiento | 3 | 78.0496 | 26.0165 | 15.2686 | 2e-04 |
| Residuos | 12 | 20.4472 | 1.7039 | NA | NA |
| Tratamiento | Media | Grupo Tukey |
|---|---|---|
| T1 | 16.003 | a |
| T3 | 11.162 | b |
| T4 | 11.110 | b |
| T2 | 10.530 | b |
| Muestreo | Tratamiento | n | Media | DE |
|---|---|---|---|---|
| Muestreo 1 | T1 | 4 | 0.760 | 0.073 |
| Muestreo 1 | T2 | 4 | 0.823 | 0.017 |
| Muestreo 1 | T3 | 4 | 0.807 | 0.038 |
| Muestreo 1 | T4 | 4 | 0.790 | 0.051 |
| Muestreo 2 | T1 | 4 | 1.025 | 0.124 |
| Muestreo 2 | T2 | 4 | 1.030 | 0.026 |
| Muestreo 2 | T3 | 4 | 1.040 | 0.103 |
| Muestreo 2 | T4 | 4 | 0.965 | 0.094 |
| Muestreo 3 | T1 | 4 | 1.320 | 0.177 |
| Muestreo 3 | T2 | 4 | 1.002 | 0.123 |
| Muestreo 3 | T3 | 4 | 1.102 | 0.094 |
| Muestreo 3 | T4 | 4 | 1.095 | 0.200 |
| Muestreo 4 | T1 | 4 | 1.797 | 0.238 |
| Muestreo 4 | T2 | 4 | 1.340 | 0.181 |
| Muestreo 4 | T3 | 4 | 1.388 | 0.080 |
| Muestreo 4 | T4 | 4 | 1.290 | 0.071 |
Muestreo 1 — F(3,12) = 1.203, p = 0.3503 → ns
| Fuente | GL | SC | CM | F | p-valor |
|---|---|---|---|---|---|
| Tratamiento | 3 | 0.0086 | 0.0029 | 1.2035 | 0.3503 |
| Residuos | 12 | 0.0287 | 0.0024 | NA | NA |
Muestreo 2 — F(3,12) = 0.518, p = 0.6779 → ns
| Fuente | GL | SC | CM | F | p-valor |
|---|---|---|---|---|---|
| Tratamiento | 3 | 0.0138 | 0.0046 | 0.5178 | 0.6779 |
| Residuos | 12 | 0.1066 | 0.0089 | NA | NA |
Muestreo 3 — F(3,12) = 3.035, p = 0.0708 → ns
| Fuente | GL | SC | CM | F | p-valor |
|---|---|---|---|---|---|
| Tratamiento | 3 | 0.2173 | 0.0724 | 3.0351 | 0.0708 |
| Residuos | 12 | 0.2864 | 0.0239 | NA | NA |
Muestreo 4 — F(3,12) = 8.589, p = 0.0026 → Significativo ✓
| Fuente | GL | SC | CM | F | p-valor |
|---|---|---|---|---|---|
| Tratamiento | 3 | 0.6492 | 0.2164 | 8.5891 | 0.0026 |
| Residuos | 12 | 0.3023 | 0.0252 | NA | NA |
| Tratamiento | Media | Grupo Tukey |
|---|---|---|
| T1 | 1.797 | a |
| T3 | 1.388 | b |
| T2 | 1.340 | b |
| T4 | 1.290 | b |
| Muestreo | Tratamiento | n | Media | DE |
|---|---|---|---|---|
| Muestreo 1 | T1 | 4 | 19.082 | 4.659 |
| Muestreo 1 | T2 | 4 | 26.352 | 1.516 |
| Muestreo 1 | T3 | 4 | 18.765 | 1.202 |
| Muestreo 1 | T4 | 4 | 16.023 | 3.975 |
| Muestreo 2 | T1 | 4 | 44.190 | 6.549 |
| Muestreo 2 | T2 | 4 | 27.062 | 2.681 |
| Muestreo 2 | T3 | 4 | 26.735 | 8.107 |
| Muestreo 2 | T4 | 4 | 25.490 | 5.451 |
| Muestreo 3 | T1 | 4 | 50.330 | 11.953 |
| Muestreo 3 | T2 | 4 | 31.773 | 3.960 |
| Muestreo 3 | T3 | 4 | 31.480 | 5.357 |
| Muestreo 3 | T4 | 4 | 29.928 | 2.470 |
| Muestreo 4 | T1 | 4 | 60.808 | 6.078 |
| Muestreo 4 | T2 | 4 | 32.798 | 2.592 |
| Muestreo 4 | T3 | 4 | 29.458 | 7.110 |
| Muestreo 4 | T4 | 4 | 23.447 | 5.317 |
Muestreo 1 — F(3,12) = 7.567, p = 0.0042 → Significativo ✓
| Fuente | GL | SC | CM | F | p-valor |
|---|---|---|---|---|---|
| Tratamiento | 3 | 234.1177 | 78.0392 | 7.5672 | 0.0042 |
| Residuos | 12 | 123.7537 | 10.3128 | NA | NA |
| Tratamiento | Media | Grupo Tukey |
|---|---|---|
| T2 | 26.352 | a |
| T1 | 19.082 | b |
| T3 | 18.765 | b |
| T4 | 16.023 | b |
Muestreo 2 — F(3,12) = 8.721, p = 0.0024 → Significativo ✓
| Fuente | GL | SC | CM | F | p-valor |
|---|---|---|---|---|---|
| Tratamiento | 3 | 951.8483 | 317.2828 | 8.7213 | 0.0024 |
| Residuos | 12 | 436.5630 | 36.3802 | NA | NA |
| Tratamiento | Media | Grupo Tukey |
|---|---|---|
| T1 | 44.190 | a |
| T2 | 27.062 | b |
| T3 | 26.735 | b |
| T4 | 25.490 | b |
Muestreo 3 — F(3,12) = 7.736, p = 0.0039 → Significativo ✓
| Fuente | GL | SC | CM | F | p-valor |
|---|---|---|---|---|---|
| Tratamiento | 3 | 1121.8652 | 373.9551 | 7.7358 | 0.0039 |
| Residuos | 12 | 580.0882 | 48.3407 | NA | NA |
| Tratamiento | Media | Grupo Tukey |
|---|---|---|
| T1 | 50.330 | a |
| T2 | 31.773 | b |
| T3 | 31.480 | b |
| T4 | 29.928 | b |
Muestreo 4 — F(3,12) = 35.897, p = 0.0000 → Significativo ✓
| Fuente | GL | SC | CM | F | p-valor |
|---|---|---|---|---|---|
| Tratamiento | 3 | 3297.8504 | 1099.2835 | 35.8965 | 0 |
| Residuos | 12 | 367.4841 | 30.6237 | NA | NA |
| Tratamiento | Media | Grupo Tukey |
|---|---|---|
| T1 | 60.808 | a |
| T2 | 32.798 | b |
| T3 | 29.458 | b |
| T4 | 23.447 | b |
| Muestreo | Tratamiento | n | Media | DE |
|---|---|---|---|---|
| Muestreo 1 | T1 | 4 | 0.971 | 0.112 |
| Muestreo 1 | T2 | 4 | 1.295 | 0.206 |
| Muestreo 1 | T3 | 4 | 0.918 | 0.079 |
| Muestreo 1 | T4 | 4 | 0.833 | 0.103 |
| Muestreo 2 | T1 | 4 | 1.761 | 0.378 |
| Muestreo 2 | T2 | 4 | 1.866 | 0.171 |
| Muestreo 2 | T3 | 4 | 1.639 | 0.185 |
| Muestreo 2 | T4 | 4 | 1.357 | 0.158 |
| Muestreo 3 | T1 | 4 | 3.023 | 0.400 |
| Muestreo 3 | T2 | 4 | 2.147 | 0.176 |
| Muestreo 3 | T3 | 4 | 2.366 | 0.256 |
| Muestreo 3 | T4 | 4 | 2.101 | 0.227 |
| Muestreo 4 | T1 | 4 | 4.695 | 0.367 |
| Muestreo 4 | T2 | 4 | 2.885 | 0.150 |
| Muestreo 4 | T3 | 4 | 2.765 | 0.432 |
| Muestreo 4 | T4 | 4 | 2.288 | 0.434 |
Muestreo 1 — F(3,12) = 9.115, p = 0.0020 → Significativo ✓
| Fuente | GL | SC | CM | F | p-valor |
|---|---|---|---|---|---|
| Tratamiento | 3 | 0.4892 | 0.1631 | 9.1146 | 0.002 |
| Residuos | 12 | 0.2147 | 0.0179 | NA | NA |
| Tratamiento | Media | Grupo Tukey |
|---|---|---|
| T2 | 1.295 | a |
| T1 | 0.971 | b |
| T3 | 0.918 | b |
| T4 | 0.833 | b |
Muestreo 2 — F(3,12) = 3.340, p = 0.0560 → ns
| Fuente | GL | SC | CM | F | p-valor |
|---|---|---|---|---|---|
| Tratamiento | 3 | 0.5787 | 0.1929 | 3.3396 | 0.056 |
| Residuos | 12 | 0.6931 | 0.0578 | NA | NA |
Muestreo 3 — F(3,12) = 9.377, p = 0.0018 → Significativo ✓
| Fuente | GL | SC | CM | F | p-valor |
|---|---|---|---|---|---|
| Tratamiento | 3 | 2.1686 | 0.7229 | 9.3775 | 0.0018 |
| Residuos | 12 | 0.9250 | 0.0771 | NA | NA |
| Tratamiento | Media | Grupo Tukey |
|---|---|---|
| T1 | 3.023 | a |
| T3 | 2.366 | b |
| T2 | 2.147 | b |
| T4 | 2.101 | b |
Muestreo 4 — F(3,12) = 33.546, p = 0.0000 → Significativo ✓
| Fuente | GL | SC | CM | F | p-valor |
|---|---|---|---|---|---|
| Tratamiento | 3 | 13.3965 | 4.4655 | 33.5462 | 0 |
| Residuos | 12 | 1.5974 | 0.1331 | NA | NA |
| Tratamiento | Media | Grupo Tukey |
|---|---|---|
| T1 | 4.695 | a |
| T2 | 2.885 | b |
| T3 | 2.765 | b |
| T4 | 2.288 | b |
| Muestreo | Tratamiento | n | Media | DE |
|---|---|---|---|---|
| Muestreo 1 | T1 | 4 | 197.985 | 12.545 |
| Muestreo 1 | T2 | 4 | 215.010 | 3.157 |
| Muestreo 1 | T3 | 4 | 215.740 | 5.443 |
| Muestreo 1 | T4 | 4 | 175.850 | 53.045 |
| Muestreo 2 | T1 | 4 | 269.413 | 33.607 |
| Muestreo 2 | T2 | 4 | 250.308 | 14.110 |
| Muestreo 2 | T3 | 4 | 259.580 | 13.434 |
| Muestreo 2 | T4 | 4 | 251.312 | 24.700 |
| Muestreo 3 | T1 | 4 | 301.242 | 40.292 |
| Muestreo 3 | T2 | 4 | 230.433 | 12.548 |
| Muestreo 3 | T3 | 4 | 248.280 | 19.306 |
| Muestreo 3 | T4 | 4 | 252.272 | 22.595 |
| Muestreo 4 | T1 | 4 | 345.285 | 33.422 |
| Muestreo 4 | T2 | 4 | 249.190 | 25.682 |
| Muestreo 4 | T3 | 4 | 258.760 | 9.644 |
| Muestreo 4 | T4 | 4 | 239.905 | 21.085 |
Muestreo 1 — F(3,12) = 1.869, p = 0.1887 → ns
| Fuente | GL | SC | CM | F | p-valor |
|---|---|---|---|---|---|
| Tratamiento | 3 | 4220.249 | 1406.7496 | 1.8689 | 0.1887 |
| Residuos | 12 | 9032.365 | 752.6971 | NA | NA |
Muestreo 2 — F(3,12) = 0.594, p = 0.6306 → ns
| Fuente | GL | SC | CM | F | p-valor |
|---|---|---|---|---|---|
| Tratamiento | 3 | 944.6299 | 314.8766 | 0.5944 | 0.6306 |
| Residuos | 12 | 6357.3084 | 529.7757 | NA | NA |
Muestreo 3 — F(3,12) = 5.519, p = 0.0129 → Significativo ✓
| Fuente | GL | SC | CM | F | p-valor |
|---|---|---|---|---|---|
| Tratamiento | 3 | 11028.602 | 3676.201 | 5.5194 | 0.0129 |
| Residuos | 12 | 7992.647 | 666.054 | NA | NA |
| Tratamiento | Media | Grupo Tukey |
|---|---|---|
| T1 | 301.242 | a |
| T4 | 252.272 | ab |
| T3 | 248.280 | ab |
| T2 | 230.433 | b |
Muestreo 4 — F(3,12) = 16.339, p = 0.0002 → Significativo ✓
| Fuente | GL | SC | CM | F | p-valor |
|---|---|---|---|---|---|
| Tratamiento | 3 | 28359.076 | 9453.0254 | 16.3394 | 2e-04 |
| Residuos | 12 | 6942.485 | 578.5404 | NA | NA |
| Tratamiento | Media | Grupo Tukey |
|---|---|---|
| T1 | 345.285 | a |
| T3 | 258.760 | b |
| T2 | 249.190 | b |
| T4 | 239.905 | b |
| Muestreo | Tratamiento | n | Media | DE |
|---|---|---|---|---|
| Muestreo 1 | T1 | 4 | 42.818 | 0.737 |
| Muestreo 1 | T2 | 4 | 42.618 | 1.910 |
| Muestreo 1 | T3 | 4 | 41.605 | 1.534 |
| Muestreo 1 | T4 | 4 | 41.987 | 2.873 |
| Muestreo 2 | T1 | 4 | 43.358 | 1.484 |
| Muestreo 2 | T2 | 4 | 43.248 | 1.451 |
| Muestreo 2 | T3 | 4 | 43.908 | 2.981 |
| Muestreo 2 | T4 | 4 | 41.995 | 2.405 |
| Muestreo 3 | T1 | 4 | 44.877 | 2.733 |
| Muestreo 3 | T2 | 4 | 42.267 | 3.081 |
| Muestreo 3 | T3 | 4 | 43.275 | 3.969 |
| Muestreo 3 | T4 | 4 | 43.252 | 3.670 |
| Muestreo 4 | T1 | 4 | 43.573 | 3.744 |
| Muestreo 4 | T2 | 4 | 41.222 | 5.315 |
| Muestreo 4 | T3 | 4 | 41.352 | 3.489 |
| Muestreo 4 | T4 | 4 | 42.925 | 5.538 |
Muestreo 1 — F(3,12) = 0.339, p = 0.7973 → ns
| Fuente | GL | SC | CM | F | p-valor |
|---|---|---|---|---|---|
| Tratamiento | 3 | 3.7674 | 1.2558 | 0.3394 | 0.7973 |
| Residuos | 12 | 44.3999 | 3.7000 | NA | NA |
Muestreo 2 — F(3,12) = 0.550, p = 0.6575 → ns
| Fuente | GL | SC | CM | F | p-valor |
|---|---|---|---|---|---|
| Tratamiento | 3 | 7.8330 | 2.6110 | 0.5503 | 0.6575 |
| Residuos | 12 | 56.9313 | 4.7443 | NA | NA |
Muestreo 3 — F(3,12) = 0.404, p = 0.7526 → ns
| Fuente | GL | SC | CM | F | p-valor |
|---|---|---|---|---|---|
| Tratamiento | 3 | 14.0065 | 4.6688 | 0.4044 | 0.7526 |
| Residuos | 12 | 138.5473 | 11.5456 | NA | NA |
Muestreo 4 — F(3,12) = 0.255, p = 0.8565 → ns
| Fuente | GL | SC | CM | F | p-valor |
|---|---|---|---|---|---|
| Tratamiento | 3 | 16.2583 | 5.4194 | 0.2547 | 0.8565 |
| Residuos | 12 | 255.3093 | 21.2758 | NA | NA |
| Muestreo | Tratamiento | n | Media | DE |
|---|---|---|---|---|
| Muestreo 1 | T1 | 4 | 28.170 | 9.130 |
| Muestreo 1 | T2 | 4 | 53.688 | 8.518 |
| Muestreo 1 | T3 | 4 | 34.707 | 8.419 |
| Muestreo 1 | T4 | 4 | 53.087 | 8.869 |
| Muestreo 2 | T1 | 4 | 35.483 | 17.280 |
| Muestreo 2 | T2 | 4 | 29.938 | 4.048 |
| Muestreo 2 | T3 | 4 | 35.295 | 7.051 |
| Muestreo 2 | T4 | 4 | 35.557 | 3.553 |
| Muestreo 3 | T1 | 4 | 49.890 | 10.218 |
| Muestreo 3 | T2 | 4 | 59.668 | 3.695 |
| Muestreo 3 | T3 | 4 | 65.305 | 3.379 |
| Muestreo 3 | T4 | 4 | 60.102 | 4.229 |
| Muestreo 4 | T1 | 4 | 77.165 | 4.924 |
| Muestreo 4 | T2 | 4 | 65.305 | 6.130 |
| Muestreo 4 | T3 | 4 | 67.848 | 6.562 |
| Muestreo 4 | T4 | 4 | 74.825 | 2.674 |
Muestreo 1 — F(3,12) = 8.788, p = 0.0023 → Significativo ✓
| Fuente | GL | SC | CM | F | p-valor |
|---|---|---|---|---|---|
| Tratamiento | 3 | 2013.188 | 671.0628 | 8.7877 | 0.0023 |
| Residuos | 12 | 916.366 | 76.3638 | NA | NA |
| Tratamiento | Media | Grupo Tukey |
|---|---|---|
| T2 | 53.688 | a |
| T4 | 53.087 | a |
| T3 | 34.707 | b |
| T1 | 28.170 | b |
Muestreo 2 — F(3,12) = 0.322, p = 0.8094 → ns
| Fuente | GL | SC | CM | F | p-valor |
|---|---|---|---|---|---|
| Tratamiento | 3 | 91.1439 | 30.3813 | 0.3221 | 0.8094 |
| Residuos | 12 | 1131.9667 | 94.3306 | NA | NA |
Muestreo 3 — F(3,12) = 4.493, p = 0.0247 → Significativo ✓
| Fuente | GL | SC | CM | F | p-valor |
|---|---|---|---|---|---|
| Tratamiento | 3 | 496.5535 | 165.5178 | 4.4931 | 0.0247 |
| Residuos | 12 | 442.0582 | 36.8382 | NA | NA |
| Tratamiento | Media | Grupo Tukey |
|---|---|---|
| T3 | 65.305 | a |
| T4 | 60.102 | ab |
| T2 | 59.668 | ab |
| T1 | 49.890 | b |
Muestreo 4 — F(3,12) = 4.508, p = 0.0244 → Significativo ✓
| Fuente | GL | SC | CM | F | p-valor |
|---|---|---|---|---|---|
| Tratamiento | 3 | 378.7312 | 126.2437 | 4.5077 | 0.0244 |
| Residuos | 12 | 336.0776 | 28.0065 | NA | NA |
| Tratamiento | Media | Grupo Tukey |
|---|---|---|
| T1 | 77.165 | a |
| T4 | 74.825 | ab |
| T3 | 67.848 | ab |
| T2 | 65.305 | b |
| Muestreo | Tratamiento | n | Media | DE |
|---|---|---|---|---|
| Muestreo 1 | T1 | 4 | 12.045 | 1.779 |
| Muestreo 1 | T2 | 4 | 11.800 | 1.659 |
| Muestreo 1 | T3 | 4 | 12.610 | 0.959 |
| Muestreo 1 | T4 | 4 | 11.965 | 0.815 |
| Muestreo 2 | T1 | 4 | 19.290 | 1.023 |
| Muestreo 2 | T2 | 4 | 17.820 | 0.758 |
| Muestreo 2 | T3 | 4 | 17.430 | 1.586 |
| Muestreo 2 | T4 | 4 | 16.025 | 1.043 |
| Muestreo 3 | T1 | 4 | 13.150 | 0.351 |
| Muestreo 3 | T2 | 4 | 12.950 | 0.624 |
| Muestreo 3 | T3 | 4 | 13.175 | 0.096 |
| Muestreo 3 | T4 | 4 | 13.250 | 0.404 |
| Muestreo 4 | T1 | 4 | 18.190 | 2.579 |
| Muestreo 4 | T2 | 4 | 15.050 | 0.590 |
| Muestreo 4 | T3 | 4 | 15.020 | 1.763 |
| Muestreo 4 | T4 | 4 | 12.570 | 0.828 |
Muestreo 1 — F(3,12) = 0.264, p = 0.8501 → ns
| Fuente | GL | SC | CM | F | p-valor |
|---|---|---|---|---|---|
| Tratamiento | 3 | 1.4850 | 0.4950 | 0.2639 | 0.8501 |
| Residuos | 12 | 22.5074 | 1.8756 | NA | NA |
Muestreo 2 — F(3,12) = 5.519, p = 0.0129 → Significativo ✓
| Fuente | GL | SC | CM | F | p-valor |
|---|---|---|---|---|---|
| Tratamiento | 3 | 21.6289 | 7.2096 | 5.5186 | 0.0129 |
| Residuos | 12 | 15.6771 | 1.3064 | NA | NA |
| Tratamiento | Media | Grupo Tukey |
|---|---|---|
| T1 | 19.290 | a |
| T2 | 17.820 | ab |
| T3 | 17.430 | ab |
| T4 | 16.025 | b |
Muestreo 3 — F(3,12) = 0.383, p = 0.7673 → ns
| Fuente | GL | SC | CM | F | p-valor |
|---|---|---|---|---|---|
| Tratamiento | 3 | 0.1969 | 0.0656 | 0.3827 | 0.7673 |
| Residuos | 12 | 2.0575 | 0.1715 | NA | NA |
Muestreo 4 — F(3,12) = 7.863, p = 0.0036 → Significativo ✓
| Fuente | GL | SC | CM | F | p-valor |
|---|---|---|---|---|---|
| Tratamiento | 3 | 63.6467 | 21.2156 | 7.8633 | 0.0036 |
| Residuos | 12 | 32.3764 | 2.6980 | NA | NA |
| Tratamiento | Media | Grupo Tukey |
|---|---|---|
| T1 | 18.19 | a |
| T2 | 15.05 | ab |
| T3 | 15.02 | ab |
| T4 | 12.57 | b |
| Muestreo | Tratamiento | n | Media | DE |
|---|---|---|---|---|
| Muestreo 3 | T1 | 4 | 73.185 | 2.728 |
| Muestreo 3 | T2 | 4 | 79.415 | 2.350 |
| Muestreo 3 | T3 | 4 | 75.480 | 0.736 |
| Muestreo 3 | T4 | 4 | 79.350 | 2.812 |
Muestreo 3 — F(3,12) = 7.009, p = 0.0056 → Significativo ✓
| Fuente | GL | SC | CM | F | p-valor |
|---|---|---|---|---|---|
| Tratamiento | 3 | 112.5525 | 37.5175 | 7.0094 | 0.0056 |
| Residuos | 12 | 64.2294 | 5.3524 | NA | NA |
| Tratamiento | Media | Grupo Tukey |
|---|---|---|
| T2 | 79.415 | a |
| T4 | 79.350 | a |
| T3 | 75.480 | ab |
| T1 | 73.185 | b |