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Ejercicio 7-7: Ejercicio 7-16: Suponga que en el problema 6-7 ABCD se confundió en la replica I y ABC se confundió en la replica II. Realizar el análisis estadístico de este diseño. Combinación de tratamientos (1) a b ab c ac bc abc
Réplica I
II
90 74 81 83 77 81 88 73
93 78 85 80 78 80 82 70
Combinación de tratamientos d ad bd abd cd acd bcd abcd
Replica I ABCD confundido (1) ab ac bc ad bd cd abcd
Réplica I
II
98 72 87 85 99 79 87 80
95 76 83 86 90 75 84 80
Replica II ABC confundido a b c d abc abd acd bcd
a b c ad bd cd abcd abc
(1) ab ac bc d abd acd bcd
Fuente de Variación A B C D AB AC AD BC BD CD ABC ABD ACD BCD ABCD Error
Suma de cuadrados 657.0 13.8 57.8 124.0 132.0 3.8 38.3 2.5 0.3 22.8 215.3 175.8 7.0 7.0 47.5 122.5
Grados de Libertad 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 16
Cuadrado medio 657.0 13.8 57.8 124.0 132.0 3.8 38.3 2.5 0.3 22.8 215.3 175.8 7.0 7.0 47.5 7.7
𝑭𝟎 85.816 1.8 7.547 16.2 17.245 0.494 5.0 0.331 0.037 2.976 28.118 22.959 0.918 0.918 6.208
Valor P 7.87e-08 0.198445 0.014317 0.000979 0.000749 0.492302 0.039945 0.573296 0.850417 0.103793 7.15e-05 0.000200 0.352162 0.352162 0.024077
Réplica I
II
90 74 81 83 77 81 88 73
93 78 85 80 78 80 82 70
Combinación de tratamientos d ad bd abd cd acd bcd abcd
Replica I ABCD confundido (1) ab ac bc ad bd cd abcd
Réplica I
II
98 72 87 85 99 79 87 80
95 76 83 86 90 75 84 80
Replica II ABC confundido a b c d abc abd acd bcd
a b c ad bd cd abcd abc
(1) ab ac bc d abd acd bcd
Fuente de Variación A B C D AB AC AD BC BD CD ABC ABD ACD BCD ABCD Error
Suma de cuadrados 657.0 13.8 57.8 124.0 132.0 3.8 38.3 2.5 0.3 22.8 215.3 175.8 7.0 7.0 47.5 122.5
Grados de Libertad 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 16
Cuadrado medio 657.0 13.8 57.8 124.0 132.0 3.8 38.3 2.5 0.3 22.8 215.3 175.8 7.0 7.0 47.5 7.7
𝑭𝟎 85.816 1.8 7.547 16.2 17.245 0.494 5.0 0.331 0.037 2.976 28.118 22.959 0.918 0.918 6.208
Valor P 7.87e-08 0.198445 0.014317 0.000979 0.000749 0.492302 0.039945 0.573296 0.850417 0.103793 7.15e-05 0.000200 0.352162 0.352162 0.024077
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