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La textura del Queso Goya. Comparacin entre el mtodo sensorial y mtodos reolgicos.
Castaeda, R.; Caameras, C.; Aranibar, G.; Montero, H.
INTRODUCCIN
El queso Goya es un queso de pasta dura, cuyo contenido de humedad se encuentra comprendido entre 27-35% y la materia grasa entre 25-39% (semigraso) y 40-59,9% (graso)[1]. Se presenta en el mercado con un mnimo de tres meses de maduracin en hormas cilndricas de faces planas de perfil ligeramente convexo, cuyas medidas son aproximadamente de 23 cm de dimetro y 10 cm de altura.
El mercado de los Estados Unidos de Norteamrica representa el 90% del destino de los quesos de pasta dura, esto se debe a la existencia de una cuota de acceso preferencial asignada a la Argentina por el gobierno norteamericano, de aproximadamente 7000 tn de quesos duros tipo italiano.
Ante la insuficiente informacin sobre las propiedades reolgicas del queso Goya, se estim conveniente realizar este estudio que incluy a las 5 empresas que elaboraron dicho producto en el ao 2002
Las propiedades reolgicas de un queso pueden ser determinadas a travs del anlisis sensorial descriptivo cuantitativo (QDA) y/o a travs del anlisis instrumental por medio de un analizador de textura.
El perfil sensorial de textura consiste en el anlisis individual de las propiedades a travs de un panel entrenado de evaluadores.
Para poder realizar las determinaciones instrumentales de textura se han desarrollado numerosos mtodos, siendo el Texture Profile Analysis- TPA y el de Compresin Uniaxial a desplazamiento constante los de mayor importancia para quesos de pasta dura y semidura[2]
El objetivo de este trabajo es obtener datos sobre las propiedades de textura del queso Goya y comparar el mtodo de Anlisis Sensorial con los mtodos instrumentales para la determinacin del perfil de textura.
El aporte innovador de este estudio consiste en la obtencin y publicacin de informacin muy especifica sobre las caractersticas de uno de los pocos quesos argentinos que hacen referencia a un lugar geogrfico de nuestro pas y adems de poder diferenciarlo eventualmente de otros quesos, con el mismo nombre, elaborados en otras partes del mundo.
METODOLOGA / DESCRIPCIN EXPERIMENTAL
Queso Goya
Las hormas analizadas fueron suministradas por las 5 empresas argentinas elaboradoras de este tipo de queso durante el ao 2002 y se encontraban dentro del periodo de consumo establecido[1] (tres meses de maduracin). Durante el periodo de anlisis las hormas se conservaron a 5 ( 1 C.
Anlisis de textura con un panel sensorial
El Anlisis Sensorial de la textura se realiz mediante un panel seleccionado y entrenado[3][4][5], integrado por 12 personas de INTI. Se utiliz la tcnica Anlisis Descriptivo Cuantitativo (QDA)[6][7]
Se emplearon escalas crecientes de 1 a 7 para expresar la intensidad percibida en cada propiedad de textura. Los panelistas trabajaron en forma individual con un nmero de 3 muestras por sesin, analizando cada muestra por cuadruplicado.
Antes de realizar la evaluacin, las muestras fueron estabilizadas, durante 1 hora a 14-16C y fueron presentadas dentro de una caja de Petri cerrada, cortadas en forma de paraleleppedo de 1,5x2x7 cm.
Las muestras se identificaron con nmeros de 3 dgitos elegidos al azar y el cdigo utilizado fue diferente para cada ensayo.
El Perfil Sensorial de Textura comprendi las propiedades de: Elasticidad: aptitud de la muestra de queso de recuperar rpidamente su espesor inicial despus de haber sido comprimido y deformado. Firmeza: resistencia que presenta la muestra a un pequeo desplazamiento de las mandbulas. Friabilidad: aptitud que presenta la muestra de generar numerosos trozos desde el principio de la masticacin. Deformabilidad: facilidad que presenta la muestra situada en la cavidad bucal para deformarse de forma sucesiva o estirarse antes de romperse. Adherencia: trabajo que es necesario realizar con la lengua para despegar un producto pegado en el paladar y los dientes.
Anlisis de textura con mtodos instrumentales
Las determinaciones instrumentales se realizaron en un Analizador de Textura TA-XT2i (Stable Micro Systems).
Para la obtencin de las curvas Tensin -Deformacin, se utiliz una velocidad de desplazamiento constante de 0.8 mm/s.
Se utilizaron probetas cilndricas de queso de 14 milmetros de dimetro por 18 milmetros de alto, termostatizadas a 15C 2C. Las muestras se analizaron por quintuplicado.
a) Compresin uniaxial a desplazamiento constante[2][8][9];El mtodo consiste en comprimir una probeta de queso mediante un plato descendente a velocidad constante, hasta un nivel de deformacin superior al punto de fractura. Los parmetros reolgicos a medir a travs de este mtodo son: El Mdulo de deformabilidad (MD), estimado como la regresin lineal de la parte inicial de la curva, la Tensin o Esfuerzo (f), la Deformacin (f), la energa (Wf) a la fractura. En la Figura 1 se esquematiza una curva de compresin y se identifican los parmetros reolgicos obtenidos.
b) Texture Profile Analysis (TPA)[2][10]:El mtodo consiste en someter a la probeta de queso a un doble ciclo de compresin a desplazamiento constante.
Se realiz el ensayo evaluando dos tasas de compresin distintas (20%[11] y 25%[12]). Los parmetros a medir a travs de este mtodo son: la firmeza dada por la fuerza mxima registrada durante el 1 ciclo de compresin (F1), la Fuerza mxima registrada durante la compresin en el 2 ciclo (F2), el Trabajo registrado hasta F1 (W1) y el Trabajo registrado hasta F2 (W2). Luego se calculan las siguientes relaciones: Cohesividad[2][10] (Trabajo durante el 1 ciclo de compresin dividido el trabajo realizado en el 2 ciclo de compresin (W1+W3/W2+W4), la dureza estimada como el cociente F2/F1, y el grado de elasticidad[13] calculado como el cociente porcentual entre el trabajo recuperado (W3) sobre el trabajo total (W1+W3) en el 1 ciclo de penetracin. En la Figura 2 se esquematiza una curva de TPA y se identifican los parmetros reolgicos obtenidos.
Anlisis de resultados:
Se utiliz el Anlisis de Varianza de un factor (ANOVA) para determinar si existen diferencias significativas para cada propiedad entre las muestras. Luego se procedi a calcular, mediante el test de Tukey, la Mnima Diferencia Significativa [MDS = q;I;n-I. Raz (CMD/J)]
Se utiliz un (= 0.05 en todos los anlisis.RESULTADOS Y DISCUSIN
En la Tabla 1 y en el Grfico 1 se presenta los valores de textura obtenidos para el Anlisis Sensorial del queso Goya.
TABLA 1. Valores de textura de queso Goya obtenidos a travs del Anlisis Sensorial
MuestraFirmezaElasticidadDeforma-bilidadFria-bilidadAdherencia
G14.4a0.32.4a0.43.9a0.44,00,32,2a0,2
G24.8a0.32.3a0.44.8b0.43,70,41,9a0,2
G34.8a0.42.2a0.34.5b0.24,10,32,2a0,1
G42.3b0.23.5b0.32.7c0.33,60,43,5b0,3
G54.7a0.22.4a0.34.4b0.33,60,32,0a0,2
MDS0.60.70.7N/S0.4
Test de Tukey: Para una propiedad dada, los promedios que se presentan con la misma letra (a, b), no son significativamente diferentes ((= 0.05).
MDS: Mnima Diferencia Significativa (indica la mnima diferencia, en valor de intensidad, para que las muestras se consideren distintas)
N/S: No Significativo (en dicha propiedad las muestras no presentan diferencias en intensidad)
GRAFICO 1. Perfil de textura sensorial del queso Goya
Por intermedio del Anlisis Sensorial se diferenciaron dos grupos (a, b) en las propiedades de firmeza, elasticidad, deformabilidad y adherencia, no pudindose encontrar diferencias en la propiedad friabilidad.
En la Tabla 2 y en el Grfico 2 se presentan los valores de textura obtenidos para el queso Goya segn el ensayo instrumental utilizando el mtodo de compresin uniaxial.
TABLA 2. Valores de textura del queso Goya obtenidos a travs del mtodo de compresin uniaxial.
MuestraEsfuerzo aparente en la fractura
a f (KPa)Esfuerzo corregido
en la fractura[14]Deformacin relativa en la fractura (Cauchy)Deformacin verdadera en la fractura (Hencky)Mdulo de Deforma-bilidadTrabajo a la fractura
c f (KPa)f (-)f (-)(KPa/Cauchy)Wf (KJ/m3)
G136 4 a8291 a60,382a0,0030,323a0,0021155 a8174a1
G2341 b17273 b140,376a0,0040,319a0,0031124 a8569a4
G3264 c10211 c80,313b0,0090,272b0,0061312 b9348b3
G4119 d395 d30,230c0,0070,207c0,006764 c4117c1
G5267 c11213 c90,354d0,0090,303d0,0071030 a6552b3
MDS19.415.50.0120.0091335
Test de Tukey: Para una propiedad dada, los promedios que se presentan con la misma letra (a, b, c, d), no son significativamente diferentes ((= 0.05).
MDS: Mnima Diferencia Significativa (indica la mnima diferencia, en valor de intensidad, para que las muestras se consideren distintas)
N/S: No Significativo (en dicha propiedad las muestras no presentan diferencias en intensidad)
Por intermedio de la Compresin Uniaxial, se diferenciaron cuatro grupos (a, b, c, d) en los parmetros de esfuerzo, deformacin, mdulo de deformabilidad y trabajo a la fractura.
En la Tabla 3 y en el Grfico 3 y 4 se presentan los valores de textura obtenidos para el queso Goya segn el ensayo instrumental utilizando el mtodo TPA a una tasa de compresin del 20% y del 25%.
TABLA 3. Valores de textura obtenidos a travs del mtodo de TPA 20 y 25% de compresin.MuestraTasa de compresinFuerza 1Fuerza 2Grado de elasticidadCohesividadF2/F1
(KPa)(KPa)W2+4/w1+3
G120%222a 17206a 1648,8a0,5880.929a
25%281a8259a1852,1a0,574a0.920a
G220%227a19211a1848,8a0,5970.931a
25%267a20246a2153,3a0,577a0.921a
G320%207ac46191ac4653,0b0,5960.925a
25%234ac77213ac5453,7a0,580a0.915a
G420%105b10095b1056,1c0,5760.905b
25%93b 6115b1364,7b0,511b0.806b
G520%175c06162c 650,2d0,590.927a
25%193c11178c751,6a0,580a0.922a
MDS20%32301.1N/S0,009
MDS25%706180.0400.039
Test de Tukey: Para una propiedad dada, los promedios que se presentan con la misma letra (a, b, c, d), no son significativamente diferentes ((= 0.05).
MDS: Mnima Diferencia Significativa (indica la mnima diferencia, en valor de intensidad, para que las muestras se consideren distintas)
N/S: No Significativo (en dicha propiedad las muestras no presentan diferencias en intensidad)
Por intermedio del anlisis TPA 20%, se diferenciaron tres grupos (a, b, c) en los parmetros de F1, F2, F2/F1. Cuatro grupos (a, b, c, d) en el grado de elasticidad y no se pudo encontrar diferencias en la cohesividad.
Por intermedio del anlisis TPA 25%, se diferenciaron tres grupos (a, b, c) en los parmetros de F1, F2. Dos grupos (a,b) en el grado de elasticidad, cohesividad y F2/F1Discusin y Conclusin
Los datos obtenidos sobre los atributos de textura del queso Goya servirn para reconocer mejor a este producto.
Los valores obtenidos a travs del mtodo de compresin uniaxial para el queso Goya son similares a los valores presentados por R. Castaeda y Col[9]en el ao 2002.
Cuatro de los cinco quesos analizados (G1, G2, G3 y G5) poseen caractersticas similares respecto a su textura.
La muestra G4 que recibi el valor ms bajo en las propiedades sensoriales de firmeza y deformabilidad, tambin recibi los valores ms bajos en los parmetros instrumentales de mdulo de deformabilidad, trabajo, esfuerzo y deformacin a la fractura (compresin Uniaxial), Fuerza 1, Fuerza 2 y F2/F1 (TPA). La misma muestra recibi el valor ms alto en la propiedad sensorial elasticidad, esta tendencia concuerda con el valor ms alto obtenido del parmetro grado de elasticidad (TPA 20% y 25%). Estas relaciones para la textura entre propiedades sensoriales e instrumentales concuerdan con estudios realizados por otros autores[2][15][16]El mtodo de compresin uniaxial permite diferenciar un nmero mayor de muestras, dicho mtodo es el que posee mejor resolucin.
La utilizacin de tasas de compresin de 20% y 25% no produce cambios en la resolucin del mtodo TPA.
Los mtodos instrumentales para el anlisis de textura presentan la ventaja de ser reproducibles, y de poder utilizarse rpidamente con independencia del panel de anlisis sensorial.
Referencias
1 Cdigo Alimentario Argentino artculo N636
2- Rheological and Fracture Properties of Cheese. Bulletin of the International Dairy Federation N268/ 1991.
3- IRAM 20001: 1995 Anlisis Sensorial Vocabulario
4- IRAM 20002: 1995 Anlisis Sensorial Directivas generales para la metodologa
5- IRAM 20005: 1996 Gua general para la seleccin, entrenamiento y monitoreo de evaluadores
6- IRAM 20013: 2001 Anlisis Sensorial Metodologa Perfil de Textura
7- Guide devaluation sensorielle de la textura des fromages a pate dure ou semidure ,INRA 1994
8- Cheese Determination of rheological properties by unaxial compression at constant displacement rate . ISO TC 34/SC5N/ ISO /CD 17996/IDF 205 - 2003.
9- R.Castaeda. La reologa en la caracterizacin y tipificacin de quesos. Tecnologa Lctea Latinoamericana N26, 2002.
10- HFriedman, J. Whitney, and A Szczesniak. The Texturometer- A New Instrument for Objective Texture Measurement Journal of Food Science 28: 1963
11- S Raphaelides, K.Antonion, and D. Petridis. Texture Evaluation of Ultrafiltered Teleme Cheese. Journal of Food Science Vol 60, N6, 1995 .
12- N. Innocente, P Pittia, O. Stefanuto and C. Corradini. Texture profile of Montasio cheese. Milchwissenschaft 55 (9) 2000.
13- G. Kaletunc, M.D. Normand, E.A. Johnson, and M. Peleg. Degree of Elasticity Determination in solid foods. Journal of Food Science Vol 56, N4, 1991
14- W Luginbuhl. The Effect of Stress Correction on Fracture Point Coordinates in Uniaxial Compression Tests of Cheese. Lebensm. Wiss u Technol, 29,433-437 (1996).15- D. Hennequin y J. Ard. Evaluation Instrumentale et Sensorielle de Certaines Propriets texturales de fromages a pate molle. Int. Dairy Journal 3 (1993) 635-647.
16- Y Noel, M.Zannon, E.Hunter. Textura of Parmigiano Reggiano Cheese: Statistical relationships between rheological and sensory variates. Lait (1996) 76, 243-254.
Para mayor informacin contactarse con:
Lic. Roberto Castaeda [email protected]
EMBED Excel.Chart.8 \s
EMBED Excel.Chart.8 \s
Instituto Nacional de Tecnologa Industrial
1
_1159705576.xlsGrfico perfil uniaxial
363.6715755694340.8766841196263.9017006847119.0463043563266.6885369434
290.9372604555272.7013472957211.121360547895.237043485213.3508295548
0.381561250.37589750.313143750.229766250.35378125
0.32321047850.31910152990.27239641920.20680348190.3028702363
1154.7668541881124.39748470161312.2166066858764.51233613531030.2037183801
73.461507230269.000880224548.220655393716.555001039452.3446696072
G1
G2
G3
G4
G5
Perfil Compresin Uniaxial
Grfico TPA 20%
0.20616666670.21133333330.1910.09516666670.1621666667
0.2220.2270.20650.10516666670.175
48.795232788348.765760491952.966378845156.132013612550.2029775335
0.58774167410.59666790720.59622789270.576371360.5900663064
0.92864177190.93094982030.9253834370.90535712320.9266443755
G1
G2
G3
G4
G5
Perfil TPA (20%)
Grfico TPA 25%
0.25860.24560.21280.11540.1782
0.28120.26660.23420.0930.1934
52.119653801553.29449504253.650284574664.721305674351.6198756321
0.57432237490.57653405020.58000628240.51119589910.580041711
0.91962318190.92125318150.91539041270.80561445530.9215930345
G1
G2
G3
G4
G5
GRAFICO 4 - Perfil TPA (25%)
correl parametro promedios
compresionRelajacionTPA 20%TPA 25%
Fuerza 2Fuerza 1Area-FT 1:2Dif.Tiempo 1:2Area-FT 1:3Area-FT 2:3Dif.Tiempo 4:5Area-FT 4:6Degree of elasticityCohesividadCohesividadFuerza 1Fuerza 2Area-FT 1:2Dif.Tiempo 1:2Area-FT 1:3Area-FT 2:3Dif.Tiempo 4:5Area-FT 4:6Degree of elasticityCohesividadCohesividadSensorial
FuerzaFuerzaDistanciaDistanciasKPa/CauchyKPa.CauchyFuerza 1sNNMPaMPaMPa ssMPa sMPa ssMPa sarea 1:3/4:6MPaMPaMPa ssMPa sMPa ssMPa sarea 1:3/4:6
KpaKpa (hencky)CauchyHenckyTiempoModuloTrabajoNTiempo1Fuerza 2Fuerza 1/eFuerza 2Fuerza 1Area-FT 1:2Dif.Tiempo 1:2Area-FT 1:3Area-FT 2:3Dif.Tiempo 4:5Area-FT 4:6% work recor.W2/w1F2/f1Fuerza 1Fuerza 2Area-FT 1:2Dif.Tiempo 1:2Area-FT 1:3Area-FT 2:3Dif.Tiempo 4:5Area-FT 4:6% work recor.W2/w1F2/F1ElasticidadFirmezaDeformabilidadFriabilidadAdherenciaSolubilidadHumedadxy
G1363.7290.90.3820.3238.41154.873.535.74.414.113.10.2060.2220.4804.50.7250.2464.20.42648.80.5880.9290.2590.2810.7865.71.1600.3765.10.66652.10.5740.9202.444.363.913.962.182.813.035.0056.00
G2340.9272.70.3760.3198.81124.469.036.74.413.713.50.2110.2270.4584.20.6910.2353.90.41248.80.5970.9310.2460.2670.7135.41.0450.3335.00.60253.30.5770.9212.334.814.763.691.942.712.976.0023.00
G3263.9211.10.3130.2726.91312.248.237.24.412.813.70.1910.2070.4364.30.6400.2053.80.38053.00.5960.9250.2130.2340.6205.60.8860.2674.20.50153.70.5800.9152.164.774.474.092.222.802.817.0089.00
G4119.095.20.2300.2075.0764.516.617.84.44.16.60.0950.1050.2284.30.3270.1003.80.18856.10.5760.9050.1150.0930.3465.30.4670.1224.90.23964.70.5110.8063.462.282.743.593.464.024.038.0059.00
G5266.7213.40.3540.3037.71030.252.327.44.410.210.10.1620.1750.3704.30.5530.1844.00.32650.20.5900.9270.1780.1930.4704.80.6950.2264.40.40351.60.5800.9222.364.724.413.631.982.693.069.0054.00
10.0063.00
TPA 20%TPA 20%TPA 25%TPA 25%g1desvios estandar0.0140.0150.0330.0510.0180.029
Fuerza 3Area-FT 3:4Fuerza 3Area-FT 3:4g2desvios estandar0.0160.0170.0390.0590.0200.03648.852.1
MPaMPa sMPaMPa sg3desvios estandar0.0400.0430.1120.1660.0530.08948.853.3
AdherenciaAdherenciaAdherenciaAdherenciag4desvios estandar0.0090.0100.0320.0450.0120.02453.053.7
G1g5desvios estandar0.0060.0060.0190.0280.0100.01656.164.7
G2g1Incertidumbre0.0160.0170.0380.0580.0210.03350.251.6
G3g2Incertidumbre0.0180.0190.0450.0680.0230.041
G4-0.0038-0.0018-0.0036-0.0016g3Incertidumbre0.0460.0500.1280.1890.0610.102
G5g4Incertidumbre0.0100.0120.0360.0510.0140.028
g5Incertidumbre0.0060.0070.0220.0320.0110.018
Compresion
TPA20%TPA 25%
Fuerza aparenteFuerza corregidaCauchyHenckyModuloTrabajoFuerza 2Fuerza 1Grado de elasticidadCohesividadF2/F1Fuerza 1Fuerza 2Grado de elasticidadCohesividadF2/F1
G1363.6715755694290.93726045550.381561250.32321047851154.76685418873.46150723020.20616666670.22248.79523278830.58774167410.92864177190.25860.281252.11965380150.57432237490.9196231819
G2340.8766841196272.70134729570.37589750.31910152991124.397484701669.00088022450.21133333330.22748.76576049190.59666790720.93094982030.24560.266653.2944950420.57653405020.9212531815
G3263.9017006847211.12136054780.313143750.27239641921312.216606685848.22065539370.1910.206552.96637884510.59622789270.9253834370.21280.234253.65028457460.58000628240.9153904127
G4119.046304356395.2370434850.229766250.2068034819764.512336135316.55500103940.09516666670.105166666756.13201361250.576371360.90535712320.11540.09364.72130567430.51119589910.8056144553
G5266.6885369434213.35082955480.353781250.30287023631030.203718380152.34466960720.16216666670.17550.20297753350.59006630640.92664437550.17820.193451.61987563210.5800417110.9215930345
correl parametro promedios
0
0
0
0
0
correlacion total
0
0
0
0
0
0
x
Residuos
x Grfico de los residuales
Correlaciones puntuales
00
00
00
00
00
00
y
Pronstico y
x
y
x Curva de regresin ajustada
Valores individuales
0
0
0
0
0
0
Muestra percentil
y
Grfico de probabilidad normal
ANOVAS
KpaKpa (hencky)CauchyHenckyTiempoModuloTrabajoNTiempo1Fuerza 2Fuerza 1/eFuerza 2Fuerza 1Area-FT 1:2Dif.Tiempo 1:2Area-FT 1:3Area-FT 2:3Dif.Tiempo 4:5Area-FT 4:6% work recor.
Kpa1
Kpa (hencky)11
Cauchy0.97015168590.97015168591
Hencky0.9698162260.9698162260.99988660821
Tiempo0.96710679490.96710679490.98713339020.9862695651
Modulo0.73062531090.73062531090.64098703510.64985888110.62088138411
Trabajo0.99831910220.99831910220.97998474890.97920098240.97771314720.69587802681
N0.87719972890.87719972890.7810964030.78590293270.7944089220.94371414020.85159340731
Tiempo10.86897070.86897070.82185329510.82610872420.75238479950.85003147270.85041244350.84285972191
Fuerza 20.9577687980.9577687980.89470418830.89793599010.89347901380.89204878250.9418546170.97559815190.90068265411
Fuerza 1/e0.87719972890.87719972890.7810964030.78590293270.7944089220.94371414020.851593407310.84285972190.97559815191
Fuerza 20.96008199390.96008199390.89870633120.90139184660.91052342590.86902566740.94631498980.97372309620.86109019060.99621016330.97372309621
Fuerza 10.95851482460.95851482460.89526778040.897994220.90697070810.87204930710.94425844950.97546630550.86213569380.99650292660.97546630550.99996057131
Area-FT 1:20.9621659840.9621659840.89242835740.8951593050.88860495550.88300846610.94572795180.97091468790.91041544980.99850604230.97091468790.99292761380.9933969351
Dif.Tiempo 1:20.28847694830.28847694830.23581579450.23438855650.1077948450.21084348460.27466346610.14338044860.5963998450.23525148580.14338044860.16385216680.16644732570.27686183841
Area-FT 1:30.97324240820.97324240820.90913748540.91135511970.90631464580.86221954430.95911953730.96130243630.90611022640.99709631560.96130243630.99320914990.99335057070.99900906730.27607931751
Area-FT 2:30.98821661860.98821661860.93483799680.93614934250.93366531170.82126353390.97832127750.93942117590.8943031040.98976638310.93942117590.98886529750.9884135890.99234290810.27312843360.99685609551
Dif.Tiempo 4:50.59133841240.59133841240.63497834420.62716200590.56491732340.0351965080.61494350130.17972597690.54313049230.37421737040.17972597690.35250812920.34905107980.40624516010.69066235050.43608385510.48699130921
Area-FT 4:60.97173728680.97173728680.90924782870.91160992520.90918487030.8650938140.95780517050.96474998120.89821806090.99818052010.96474998120.99583991840.99591502420.99879604580.25180126280.99966109440.99631129630.41889413371
% work recor.0.95048126410.95048126410.99100150610.98912762460.98789300060.54033768150.96652620960.71463747850.74967358650.84255923620.71463747850.85424897180.85005828030.84151783990.19585876080.86336476650.89835905250.67484176770.86357236931
W1/w2-0.7454854099-0.7454854099-0.7321556797-0.7400835128-0.7595829755-0.8728387595-0.731298359-0.8917093874-0.6654250945-0.8610774877-0.8917093874-0.8735177397-0.872999446-0.83261295680.195723495-0.8235583955-0.80402597630.0491021336-0.8367105553-0.6688678471
F1/F2-0.9447621894-0.9447621894-0.9577481836-0.9615289866-0.9498341589-0.806643919-0.943392709-0.887353787-0.8500695492-0.94998791-0.887353787-0.9514320148-0.9492416667-0.9378051626-0.1296999309-0.9433978963-0.9493049041-0.4097910803-0.9477819746-0.9184618276
Fuerza 10.9735190930.9735190930.89095982370.89103814260.90172591240.79786774050.96050365810.93816489370.86056072070.97578819410.93816489370.97849690590.97875293360.98318631230.27588487680.98724674690.98934811140.47407673520.98576717780.85958629
Fuerza 20.97796428120.97796428120.9100548680.91154149820.91249473230.84025336610.96479934950.95515104930.89075847550.99293411070.95515104930.99197045630.99204188840.99621358020.26872722050.99860825710.99788948010.45082881150.99810541210.8699023721
Area-FT 1:20.93537946430.93537946430.82214248590.82100473680.83681329460.76045058050.91837456850.91118180680.82913726480.93801180290.91118180680.93968558010.94087432580.9523452230.32689215310.95529251560.95528153370.4764147640.95152835080.7936253927
Dif.Tiempo 1:20.35559494570.35559494570.11877345310.11697383520.15714803460.4848772590.31270131640.55903086770.37639482250.45863656630.55903086770.45405675290.46071591360.48752223520.28548108340.47053145820.43644109850.00988077980.46320131760.0795194117
Area-FT 1:30.95334208010.95334208010.85239397450.85118059660.8633781120.7539514470.93896176990.90716035050.84245706310.94517584240.90716035050.9465795860.9473222380.95884362430.33472874810.96353269430.96666006070.51140312920.95972146920.8261684452
Area-FT 2:30.97785150240.97785150240.900050150.89873618820.90390603210.73686337740.9682828810.89254947930.86069869130.95050327410.89254947930.95120029910.95113651710.96285540640.34764999110.97059808430.97927489750.57063030390.96670794130.8779244507
Dif.Tiempo 4:50.20487234860.20487234860.14328961910.12871789010.195630188-0.37907617230.224662378-0.0948994485-0.0903637428-0.0046786566-0.09489944850.02817186040.02668716810.03292196770.18561974270.06316459840.11526034090.56611067620.05234911960.2434872922
Area-FT 4:60.96860712180.96860712180.87964951730.87877633250.88789881220.76320390210.95599455520.91322216460.85646286120.95751478910.91322216460.95878442770.95915525530.96914619730.32595676460.97456608540.97904455180.52160373770.9713055790.8529540496
% work recor.0.88983617550.88983617550.9257081160.93111484310.88113235110.80499757720.8878831510.82260798290.89868266790.90002986630.82260798290.88312531580.88102975950.8887894140.27024784380.89186404280.89382779890.45421683640.89332765930.8715147175
W1/w2-0.8590266186-0.8590266186-0.8866327676-0.8934868769-0.8537918647-0.8542390506-0.8529214758-0.855663959-0.867562448-0.9049373749-0.855663959-0.891947838-0.890310145-0.8879695295-0.1669900306-0.8865567268-0.8805900026-0.3193717346-0.8910628434-0.8235823655
F1/F20.88143769660.88143769660.89327413190.89980806480.86161310920.8772979980.87279995620.88510535380.89260446580.9303209780.88510535380.91643649210.91523055250.91617978920.19953306150.91405627530.90657423060.33388160830.91763150390.8287025356
Elasticidad-0.804578969-0.804578969-0.8052208693-0.8137780672-0.7806272726-0.9216672654-0.7895825024-0.8929297768-0.8442949027-0.9017408106-0.8929297768-0.8881551417-0.887789996-0.8818196922-0.1067654096-0.872847507-0.8534258104-0.1614232099-0.879183554-0.7263945458
Firmeza0.82707049290.82707049290.85450041430.86197824520.83805352660.85805147090.82041106480.86113713310.80661385590.89128131850.86113713310.88629136640.88462747040.86869217990.04077715920.86565595430.85691832780.20926898190.87342473440.7916712856
Deformabilidad0.75824167140.75824167140.79372598160.80113876370.80943104860.79680863890.75482324290.82268962650.65896302190.83132490050.82268962650.84398070380.8417683860.8002216947-0.18996425140.79782373980.79054526170.05475891590.81096493980.7426639415
Friabilidad0.44590963580.44590963580.27835218950.28572461380.22896332390.83770833550.39500962030.71893023210.73231007610.63226989920.71893023210.58317060190.58984515640.64592651870.5097400310.61543852170.55781330770.00662367870.60790408620.1659992397
Adherencia-0.8733819645-0.8733819645-0.9236383505-0.9289418617-0.9079509347-0.7708526917-0.8761255149-0.8176823929-0.7976328374-0.88414306-0.8176823929-0.884334344-0.8813664287-0.8643040749-0.0612010503-0.8694812817-0.8753399091-0.3479356174-0.8761130565-0.8814237942
Solubilidad-0.8709707723-0.8709707723-0.9065812575-0.9128061185-0.8792418242-0.8262394018-0.8681541798-0.8454006654-0.8490537451-0.9024900973-0.8454006654-0.8939720587-0.8918402906-0.8848635411-0.1366551571-0.8860514883-0.884717101-0.3393866568-0.8911348867-0.8512327922
Humedad-0.831385214-0.831385214-0.8153043951-0.8233494733-0.793252554-0.9411253163-0.8141292861-0.9233848696-0.8679702717-0.9289856207-0.9233848696-0.9152907678-0.9153293967-0.9122435669-0.1380851218-0.9029773647-0.8827491056-0.1817404683-0.9083411912-0.7363940728
W1/w2F1/F2Fuerza 1Fuerza 2Area-FT 1:2Dif.Tiempo 1:2Area-FT 1:3Area-FT 2:3Dif.Tiempo 4:5Area-FT 4:6% work recor.W1/w2F1/F2ElasticidadFirmezaDeformabilidadFriabilidadAdherenciaSolubilidadHumedad
Kpa
Kpa (hencky)
Cauchy
Hencky
Tiempo
Modulo
Trabajo
N
Tiempo1
Fuerza 2
Fuerza 1/e
Fuerza 2
Fuerza 1
Area-FT 1:2
Dif.Tiempo 1:2
Area-FT 1:3
Area-FT 2:3
Dif.Tiempo 4:5
Area-FT 4:6
% work recor.
W1/w21
F1/F20.89068194541
Fuerza 1-0.7564698118-0.89709593631
Fuerza 2-0.806952913-0.93435452480.99400619121
Area-FT 1:2-0.6696800513-0.81592541840.98732051240.9668261361
Dif.Tiempo 1:2-0.1958984565-0.16147460660.54926544960.48888925010.66268519221
Area-FT 1:3-0.6760318839-0.83863701540.99227562020.97451784690.99833298890.62030117761
Area-FT 2:3-0.682086104-0.87301787840.99284947860.98038281990.98677522370.53808011830.99448474781
Dif.Tiempo 4:50.37587146670.09645662290.21154567810.11274694690.30468018210.34107106760.30374147690.29781979341
Area-FT 4:6-0.7010788732-0.86726696210.99671759230.98393510710.99389255710.57667957060.99836361530.99797933680.27607948921
% work recor.-0.8338492397-0.97095821840.81973483160.87326822640.72826736640.05619665170.75623568840.8013729353-0.22246016550.790088751
W1/w20.9010978680.9708796865-0.8064612444-0.8653452034-0.7104318948-0.0739910576-0.7338457043-0.7709032060.3143410394-0.7674842846-0.98903058791
F1/F2-0.9006681118-0.97556301640.84069280250.89447783260.75374784350.14117381890.77458166450.8066096707-0.27899309040.80498781130.9880347052-0.99755973651
Elasticidad0.94399873810.9365797005-0.7869042623-0.8484711161-0.6975102694-0.1571827022-0.7120412711-0.73327030370.4124256007-0.7413236557-0.94787185120.9826640421-0.98343472641
Firmeza-0.9466166169-0.96263709770.78348904690.84438937770.68201490810.06344169590.70276870430.7351170342-0.36030070870.7368006030.9627738059-0.99114895540.9858236588-0.98838683621
Deformabilidad-0.9775808162-0.92147087730.72062050070.77978415290.61142719670.01419229060.62955984890.6573652106-0.37565505490.66420593780.8843100455-0.93523090590.9237817597-0.9457910710.97289817471
Friabilidad-0.4735483561-0.42241426560.58112594730.59622746830.61908154140.7241303110.59339318540.5432983011-0.27083720480.5774932890.4600756053-0.49020609350.5352791052-0.58500403870.46082889950.33797676151
Adherencia0.89823859950.9826675591-0.7999578516-0.8538118887-0.6951969950.0044790538-0.7233942634-0.7688343350.2312729287-0.76023438-0.97656894780.9836732968-0.97594377810.9479689609-0.9826741027-0.9527511862-0.34240815561
Solubilidad0.90038428370.9797857419-0.8102249717-0.8669877859-0.7113076103-0.048269257-0.7366847491-0.77714417780.2786650382-0.7714844262-0.98951094430.9978391035-0.99379566640.9725968435-0.99069358-0.9424149882-0.43933537670.99325198371
Humedad0.94164151340.9419872441-0.8258609616-0.8809709891-0.7466025313-0.2297656126-0.7584952227-0.77451088750.3635805087-0.7841996293-0.94495346370.9775091096-0.98362176540.9969955951-0.9802428399-0.9321898603-0.6260585310.93908727210.96646206341
anovas 2
Fuerza a la fracturaMdulo de DeformabilidadF 1F1/F2 (20%)F 1F1/F2(25%)FirmezaMdulo de DeformabilidadGrado de elasticidad (20%)Grado de elasticidad (25%)ElasticidadDeformacin CauchyDeformacin HenckyW2/W1(20%)W2/W1(25%)Deformabilidad
115548.852.12.440.380.320.5880.5743.91
36411552220.92864177192590.91962318194.36112448.853.32.330.380.320.5970.5774.76
34111242270.93094982032460.92125318154.81131253.053.72.160.310.270.5960.584.47
26413122070.9253834372130.91539041274.7776456.164.73.460.230.210.5760.5112.74
1197641050.90535712321150.80561445532.28103050.251.62.360.350.30.590.584.41
26710301750.92664437551780.92159303454.72
Fuerza a la fracturaMdulo de DeformabilidadF 1F1/F2 (20%)F 1F1/F2(25%)Mdulo de DeformabilidadGrado de elasticidad (20%)Grado de elasticidad (25%)Deformacin CauchyDeformacin HenckyW2/W1 (20%)W2/W1 (25%)
Firmeza0.830.860.890.960.780.98Elasticidad-0.920.730.95Deformabilidad0.790.800.970.94
Fuerza a la fracturaMdulo de DeformabilidadF 1F1/F2 (20%)F 1F1/F2(25%)Firmeza
Fuerza a la fractura1
Mdulo de Deformabilidad0.73087149131
F 10.95721455440.87436457971
F1/F2 (20%)0.94521275040.80672841590.9496962541
F 10.97302156660.79827309870.97814454160.89754310571
F1/F2(25%)0.89401366810.84061342830.91079159480.98396980040.83893730461
Firmeza0.82839195340.8588505990.88637160690.96272960650.78450150090.98460684721
Resumen
Estadsticas de la regresin
Coeficiente de correlacin mltiple0.828
Coeficiente de determinacin R^20.686
R^2 ajustado0.582
Error tpico61.970
Observaciones5
ANLISIS DE VARIANZA
Grados de libertadSuma de cuadradosPromedio de los cuadradosFValor crtico de F
Regresin125197.111685347225197.11168534726.56124189310.0831060557
Residuos311520.88831465283840.2961048843
Total436718
CoeficientesError tpicoEstadstico tProbabilidadInferior 95%Superior 95%Inferior 95,0%Superior 95,0%
Intercepcin-36.3409166688123.1441678933-0.29510871110.7871557056-428.2409864422355.5591531045-428.2409864422355.5591531045
Variable X 173.386083254328.64973997482.56149212240.0831060557-17.790261409164.5624279175-17.790261409164.5624279175
Anlisis de los residualesResultados de datos de probabilidad
ObservacinPronstico para YResiduosResiduos estndaresPercentilY
1283.622406319780.37759368031.49769028510119
2316.646143784124.35385621590.453789821130264
3313.710700454-49.710700454-0.926268550267
4130.9793531509-11.9793531509-0.223213460570341
5310.0413962913-43.0413962913-0.801998145690364
anovas 2
00001
0000
0000
0000
0000
Fuerza a la fractura
Mdulo de Deformabilidad
F 1
F1/F2 (20%)
0
0
0
0
0
Variable X 1
Residuos
Variable X 1 Grfico de los residuales
00
00
00
00
00
Y
Pronstico para Y
Variable X 1
Y
Variable X 1 Curva de regresin ajustada
0
0
0
0
0
Muestra percentil
Y
Grfico de probabilidad normal
TPA 20%TPA 25%
compresionRelajacionFuerza 2Fuerza 1Fuerza 3Area-FT 1:2Dif.Tiempo 1:2Area-FT 1:3Area-FT 2:3Area-FT 3:4Dif.Tiempo 4:5Area-FT 4:6Degree of elasticityCohesividadCohesividadFuerza 1Fuerza 2Fuerza 3Area-FT 1:2Dif.Tiempo 1:2Area-FT 1:3Area-FT 2:3Area-FT 3:4Dif.Tiempo 4:5Area-FT 4:6Degree of elasticityCohesividadCohesividad
FuerzaFuerzaDistanciaDistanciaTiempoModuloTrabajoFuerza 1Tiempo1Fuerza 2Fuerza 1/eMPaMPaMPaMPa ssMPa sMPa sMPa ssMPa sarea 1:3/4:6F2/F1MPaMPaMPaMPa ssMPa sMPa sMPa ssMPa sarea 1:3/4:6F2/F1
KpaKpa (hencky)CauchyHenckysKPa/CauchyKPa.CauchyNsNNFuerza 2Fuerza 1AdherenciaArea-FT 1:2Dif.Tiempo 1:2Area-FT 1:3Area-FT 2:3AdherenciaDif.Tiempo 4:5Area-FT 4:6% work recor.W2/w1Fuerza 1Fuerza 2AdherenciaArea-FT 1:2Dif.Tiempo 1:2Area-FT 1:3Area-FT 2:3adhenciaDif.Tiempo 4:5Area-FT 4:6% work recor.W2/w1
G1375.4823370448300.390.380470.32248.2051331.055359950175.237887980936.6724.4714.63913.50.2250.2420.5234.3050.7910.2694.0150.46448.60.5870.92980.2480.2720.7845.611.1460.3635.1250.64653.70.5640.912
G1344.5023321077275.600.385460.32608.2051058.218243708573.370902571237.3844.4214.46513.80.1970.2130.4574.5550.690.2344.240.40548.80.5870.92490.2640.2870.8025.681.180.384.9750.67552.60.5720.920
G1367.245254583293.800.37480.31838.0051181.644558198872.47989450335.2924.39513.57713.00.1970.2120.4544.540.6860.2334.160.40548.70.5900.92920.2580.280.795.641.1660.3775.190.66652.30.5710.921
G1361.8794579636289.500.38480.32569.021032.883368628971.526588626631.9414.43512.87611.80.2230.240.5224.5650.7890.2694.290.46348.50.5870.92920.2670.2910.8165.711.2050.395.230.68752.20.5700.918
G1358.2481258689286.600.385510.32619.0451147.215112577872.693292104635.174.4114.13512.90.20.2150.4724.5050.710.2394.1750.41649.40.5860.93020.2560.2760.7375.6151.1050.375.210.65749.80.5950.928
G1368.5769595551294.860.379990.32218.241073.159323883673.761319492337.1734.41514.86813.70.1950.210.4544.5850.6850.2324.2250.40448.90.5900.9286
G1359.6707765464287.740.384010.32508.3751182.294170380373.010043004335.9514.4314.40613.2
G1373.7673608856299.010.377450.32028.21231.664696176475.6121295587
G2329.1390040146263.310.374250.31798.72992.607413374263.958996479138.9524.4514.55514.330.2270.2440.5064.320.7640.25940.45648.80.5970.93030.2540.2760.7245.481.0670.3444.9450.61552.50.5760.920
G2303.7066871078242.970.372020.31638.775953.630682482660.412438774134.9244.4813.14212.850.1870.2010.3914.2350.590.23.8750.35148.80.5950.93030.2190.2380.6255.4650.9130.2894.9950.52953.80.5790.920
G2340.9814340839272.790.376970.31998.8951114.084891319968.793345372837.0344.4113.9513.620.2180.2350.4734.170.7140.2433.850.42548.60.5950.92770.2550.2780.7875.351.1430.3574.8750.64754.60.5660.917
G2331.2762280918265.020.370560.31528.711149.813561303967.254673959635.9854.3313.64613.240.1970.2120.4514.170.6760.2263.8850.449.90.5920.92920.2350.2540.6695.3850.9820.3134.90.56953.20.5790.925
G2332.2831269732265.830.372110.31638.661122.529849679767.291766815236.7934.35513.8613.540.2170.2320.4464.190.6770.2323.930.40848.00.6030.93530.2650.2870.7585.5051.1180.3615.060.6552.40.5810.923
G2359.1186061921287.290.377280.32018.9051216.723616001273.404357598536.7924.3713.73413.540.2220.2380.4794.190.7250.2473.890.43448.40.5990.9328
G2366.7970221778293.440.380420.32248.9351234.91275708475.373591965636.0964.34513.18713.28
G2363.7113643155290.970.383570.32479.0751210.877106367575.5178708311
G3261.7027634502209.360.32440.28107.1551310.267770141246.983265990239.0374.4313.71414.40.160.1750.3594.4550.5220.1644.0450.30454.30.5820.91430.2440.2690.7485.31.0720.3254.8450.61456.60.5730.907
G3242.545700217194.040.311960.27156.891358.339071574343.162636905838.844.39513.32314.30.160.1730.3494.340.5150.1674.170.31652.10.6140.92490.260.2870.8065.341.1550.3514.7850.65556.50.5670.906
G3257.629695072206.100.301750.26376.571156.309683119244.03610544538.1914.40513.41814.00.2410.260.5574.3950.8250.2693.9850.48551.70.5880.92690.1010.1040.086.5250.1290.051.860.08437.50.6510.971
G3258.9808884096207.180.295670.25906.4851319.362340682646.04581065135.9884.42512.34913.20.210.2290.5084.310.7420.2362.6950.42853.50.5770.91700.260.2850.8075.3151.1560.354.770.65856.60.5690.912
G3282.8541360808226.280.318990.27696.9751264.145305252851.772271953636.8524.38512.53213.60.1480.1570.3014.220.4430.1433.8850.28152.50.6340.94270.1990.2260.6615.4550.9170.2574.8550.49561.10.5400.881
G3260.1112136055208.090.319470.27727.0351253.751510348349.615169743736.354.43513.11713.40.2270.2450.5430.7950.2520.46353.60.5820.9265
G3269.0044043706215.200.309330.26956.7651281.68483415450.758032454634.8134.3811.19312.8
G3278.3848042718222.710.323580.28037.121553.872338214153.3919500058
G4112.103574166289.680.240910.21585.26723.018358040216.283633670718.1574.3654.3386.70.0880.0980.2114.410.3010.0913.8150.17256.90.5710.89800.1170.094-0.0030.3565.290.4810.126-0.0024.590.24764.60.5140.803
G4122.666268237998.130.229540.20664.9728.215255492517.868297626318.7964.314.2166.90.0810.0880.1754.350.2530.0793.9050.14754.90.5810.92050.110.084-0.0040.3420.4560.114-0.0025.2450.22466.70.4910.764
G4114.065402954491.250.235480.21155.12762.644701113416.506385687718.4314.2853.886.80.1010.113-0.0030.2564.2050.3640.108-0.0013.880.20457.80.5600.89380.1190.093-0.0040.370.4940.124-0.0020.24466.50.4940.782
G4124.251321960899.400.231670.20845.045869.830711065517.291636892816.9144.3954.2226.20.10.11-0.0040.2424.260.3480.107-0.0023.730.19855.80.5690.90910.1110.093-0.0030.3160.4340.118-0.0010.22962.70.5280.838
G4120.119788486396.100.2120.19234.595807.467941638815.402564668918.354.373.996.80.1050.116-0.0040.2590.3710.112-0.0020.21256.80.5710.90520.120.101-0.0040.3450.4720.127-0.0010.2563.20.5300.842
G4117.053618989593.640.225930.20374.915749.652457482916.032233756417.0364.3654.2326.30.0960.106-0.0040.2230.3240.101-0.0020.19654.70.6050.9057
G4120.983772687796.790.230480.20744.99746.404396575216.48384414517.0544.364.1436.3
G4121.126687367696.900.232120.20875.06728.86486767416.5714118671
G5249.96427133199.970.339710.29257.385914.653951590947.089412620728.144.44510.39610.40.1730.1860.4024.3350.6010.2014.0450.35450.00.5890.93010.1880.2050.5174.8250.760.2444.4450.43652.80.5740.917
G5264.6000337798211.680.353330.30267.6751026.387246813652.847185230427.5844.3810.18710.10.1570.1690.3454.3850.5160.17240.30750.10.5950.92900.1750.1890.4654.90.6860.2214.50.39652.50.5770.926
G5282.3084618483225.850.362040.30907.8051171.250763294357.247723109326.8984.44510.0199.90.160.1740.3714.3250.5520.1823.920.31950.90.5780.91950.1690.1820.4164.880.6180.2034.290.36351.20.5870.929
G5249.7628915537199.810.334990.28897.185977.016721017646.999831100827.354.3610.17510.10.160.1720.3594.370.5380.183.9950.31949.90.5930.93020.170.1850.4544.8550.6690.2164.430.38652.40.5770.919
G5279.9503696293223.960.363130.30987.9351086.801179695755.252894022326.8514.39510.1919.90.160.1730.374.340.5540.1854.0550.32850.00.5920.92490.1890.2060.4984.7750.7420.2454.4150.43449.20.5850.917
G5257.9025321883206.320.351930.30157.691008.847717912450.353194143127.5534.38510.22610.10.1630.1760.3724.3250.5560.18540.3350.30.5940.9261
G5277.3194402941221.860.367690.31318.041075.108160428254.53247411327.1944.3710.18110.0
G5271.7002949239217.360.357430.30567.805981.564006288254.4346425184
F2/F1elasticidad
G1G2G3G4G5G1G2G3G4G5
0.92975206610.93032786890.91428571430.89795918370.930107526948.565965583248.81422924954.317548746556.872037914750
0.92488262910.93034825870.92485549130.92045454550.928994082848.796498905948.849104859352.148997134754.857142857150.1449275362
0.9292452830.92765957450.92692307690.89380530970.919540229948.678414096948.625792811851.705565529657.812550.9433962264
0.92916666670.9292452830.91703056770.90909090910.930232558148.467432950249.88913525553.543307086655.785123966949.860724234
0.93023255810.93534482760.94267515920.90517241380.924855491349.364406779747.982062780352.491694352256.756756756850
0.92857142860.93277310920.92653061220.90566037740.926136363648.898678414148.434237995853.59116022154.708520179450.2688172043
Anlisis de varianza de un factorAnlisis de varianza de un factor
RESUMENRESUMEN
GruposCuentaSumaPromedioVarianzaGruposCuentaSumaPromedioVarianza
G165.57185063160.92864177190.00000370780.00192557510.0006G16292.771396729948.80.1016648850.31884931390.1
G265.58569892190.93094982030.00000742410.00272471420.0008G26292.594562951348.80.40298931650.63481439530.2
G365.55230062170.9253834370.00009917980.00995890320.0029G36317.798273070653.01.00638930221.00318956440.3
G465.43214273910.90535712320.00008603470.0092754870.0027G46336.792081674956.11.50678717721.22751259760.4
G565.55986625270.92664437550.00001686330.00410649890.0012G56301.217865200950.20.15109231690.38870595170.1
ANLISIS DE VARIANZAANLISIS DE VARIANZA
Origen de las variacionesSuma de cuadradosGrados de libertadPromedio de los cuadradosFProbabilidadValor crtico para FOrigen de las variacionesSuma de cuadradosGrados de libertadPromedio de los cuadradosFProbabilidadValor crtico para F
Entre grupos0.002546887540.000636721914.93182568380.00000232112.7587105933Entre grupos239.9915972387459.997899309794.666073225602.7587105933
Dentro de los grupos0.0010660483250.0000426419Dentro de los grupos15.8446149886250.6337845995
Total0.003612935729Total255.836212227329
q 0,05;5;354.07q 0,05;5;354.07
MDS0.009MDS1.1
Cohesividad
G1G2G3G4G5
0.58659924150.59685863870.58237547890.57142857140.5890183028
0.58695652170.59491525420.6135922330.5810276680.5949612403
0.58681875790.59171597630.5768194070.56896551720.592936803
0.5859154930.60265878880.63431151240.57142857140.5920577617
0.58978102190.59862068970.58238993710.60493827160.5935251799
Anlisis de varianza de un factor
RESUMEN
GruposCuentaSumaPromedioVarianza
G152.9360710360.58721420720.000002219
G252.98476934770.59695386950.0000167312
G352.98948856850.59789771370.0006245021
G452.89778859970.57955771990.0002226735
G552.96249928770.59249985750.0000049043
ANLISIS DE VARIANZA
Origen de las variacionesSuma de cuadradosGrados de libertadPromedio de los cuadradosFProbabilidadValor crtico para F
Entre grupos0.001151904540.00028797611.65307758420.20027982272.8660807061
Dentro de los grupos0.003484121200.000174206
Total0.004636025524
Degree of elasticity
g1g2g3g4g5
53.7052.4956.5564.6152.80
52.6253.7656.4566.6752.47
52.2854.6437.5066.4951.20
F2/F152.2153.2156.6362.6652.42
g1g2g3g4g549.8052.3761.1263.1949.20
0.91176470590.92028985510.9070631970.80341880340.9170731707
0.91986062720.92016806720.90592334490.76363636360.9259259259
0.92142857140.91726618710.97115384620.7815126050.9285714286Anlisis de varianza de un factor
0.91752577320.92519685040.91228070180.83783783780.9189189189
0.92753623190.92334494770.88053097350.84166666670.9174757282RESUMEN
GruposCuentaSumaPromedioVarianza
g15260.598269007352.12.0432264318
g25266.472475209853.30.8818240747
Anlisis de varianza de un factorg35268.251422872853.785.4393068286
g45323.606528371464.73.3798724435
RESUMENg55258.099378160451.62.2056492641
GruposCuentaSumaPromedioVarianza
g154.59811590960.9200.0000330217
g254.60626590750.9210.0000094824ANLISIS DE VARIANZA
g354.57695206330.9150.0011233448Origen de las variacionesSuma de cuadradosGrados de libertadPromedio de los cuadradosFProbabilidadValor crtico para F
g454.02807227660.8060.0011714971Entre grupos594.61496604734148.65374151187.91133224580.0005406582.8660807061
g554.60796517230.9220.0000280011Dentro de los grupos375.79951617092018.7899758085
Total970.414482218224
ANLISIS DE VARIANZA
Origen de las variacionesSuma de cuadradosGrados de libertadPromedio de los cuadradosFProbabilidadValor crtico para Fq 0,05;5;354.07
Entre grupos0.0519695140.012992377527.46399736210.0000000712.8660807061MDS7.890
Dentro de los grupos0.0094613885200.0004730694
Cohesividad
Total0.061430898524g1g2g3g4g5
0.56369982550.57638238050.5727611940.51351351350.5736842105
q 0,05;5;354.070.57203389830.57940854330.56709956710.49122807020.5772594752
MDS0.0400.57118353340.56605424320.65116279070.49392712550.5873786408
0.57012448130.57942973520.56920415220.52764976960.576980568
0.59457013570.58139534880.53980370770.52966101690.5849056604
Anlisis de varianza de un factor
RESUMEN
GruposCuentaSumaPromedioVarianza
g152.87161187430.5740.0001388805
g252.88267025110.5770.0000375323
g352.90003141180.5800.0017538141
g452.55597949570.5110.0003284966
g552.90020855490.5800.0000337544
ANLISIS DE VARIANZA
Origen de las variacionesSuma de cuadradosGrados de libertadPromedio de los cuadradosFProbabilidadValor crtico para F
Entre grupos0.01782291140.00445572789.71814723850.00015564822.8660807061
Dentro de los grupos0.009169912200.0004584956
Total0.02699282324
q 0,05;5;354.07
MDS0.039
_1159707883.xlsGrfico perfil uniaxial
363.6715755694340.8766841196263.9017006847119.0463043563266.6885369434
290.9372604555272.7013472957211.121360547895.237043485213.3508295548
0.381561250.37589750.313143750.229766250.35378125
0.32321047850.31910152990.27239641920.20680348190.3028702363
1154.7668541881124.39748470161312.2166066858764.51233613531030.2037183801
73.461507230269.000880224548.220655393716.555001039452.3446696072
G1
G2
G3
G4
G5
GRAFICO 2. Perfil de textura Compresin Uniaxial
Grfico TPA 20%
0.20616666670.21133333330.1910.09516666670.1621666667
0.2220.2270.20650.10516666670.175
48.795232788348.765760491952.966378845156.132013612550.2029775335
0.58774167410.59666790720.59622789270.576371360.5900663064
0.92864177190.93094982030.9253834370.90535712320.9266443755
G1
G2
G3
G4
G5
Perfil TPA (20%)
Grfico TPA 25%
0.25860.24560.21280.11540.1782
0.28120.26660.23420.0930.1934
52.119653801553.29449504253.650284574664.721305674351.6198756321
0.57432237490.57653405020.58000628240.51119589910.580041711
0.91962318190.92125318150.91539041270.80561445530.9215930345
G1
G2
G3
G4
G5
Perfil TPA (25%)
correl parametro promedios
compresionRelajacionTPA 20%TPA 25%
Fuerza 2Fuerza 1Area-FT 1:2Dif.Tiempo 1:2Area-FT 1:3Area-FT 2:3Dif.Tiempo 4:5Area-FT 4:6Degree of elasticityCohesividadCohesividadFuerza 1Fuerza 2Area-FT 1:2Dif.Tiempo 1:2Area-FT 1:3Area-FT 2:3Dif.Tiempo 4:5Area-FT 4:6Degree of elasticityCohesividadCohesividadSensorial
FuerzaFuerzaDistanciaDistanciasKPa/CauchyKPa.CauchyFuerza 1sNNMPaMPaMPa ssMPa sMPa ssMPa sarea 1:3/4:6MPaMPaMPa ssMPa sMPa ssMPa sarea 1:3/4:6
KpaKpa (hencky)CauchyHenckyTiempoModuloTrabajoNTiempo1Fuerza 2Fuerza 1/eFuerza 2Fuerza 1Area-FT 1:2Dif.Tiempo 1:2Area-FT 1:3Area-FT 2:3Dif.Tiempo 4:5Area-FT 4:6% work recor.W2/w1F2/f1Fuerza 1Fuerza 2Area-FT 1:2Dif.Tiempo 1:2Area-FT 1:3Area-FT 2:3Dif.Tiempo 4:5Area-FT 4:6% work recor.W2/w1F2/F1ElasticidadFirmezaDeformabilidadFriabilidadAdherenciaSolubilidadHumedadxy
G1363.7290.90.3820.3238.41154.873.535.74.414.113.10.2060.2220.4804.50.7250.2464.20.42648.80.5880.9290.2590.2810.7865.71.1600.3765.10.66652.10.5740.9202.444.363.913.962.182.813.035.0056.00
G2340.9272.70.3760.3198.81124.469.036.74.413.713.50.2110.2270.4584.20.6910.2353.90.41248.80.5970.9310.2460.2670.7135.41.0450.3335.00.60253.30.5770.9212.334.814.763.691.942.712.976.0023.00
G3263.9211.10.3130.2726.91312.248.237.24.412.813.70.1910.2070.4364.30.6400.2053.80.38053.00.5960.9250.2130.2340.6205.60.8860.2674.20.50153.70.5800.9152.164.774.474.092.222.802.817.0089.00
G4119.095.20.2300.2075.0764.516.617.84.44.16.60.0950.1050.2284.30.3270.1003.80.18856.10.5760.9050.1150.0930.3465.30.4670.1224.90.23964.70.5110.8063.462.282.743.593.464.024.038.0059.00
G5266.7213.40.3540.3037.71030.252.327.44.410.210.10.1620.1750.3704.30.5530.1844.00.32650.20.5900.9270.1780.1930.4704.80.6950.2264.40.40351.60.5800.9222.364.724.413.631.982.693.069.0054.00
10.0063.00
TPA 20%TPA 20%TPA 25%TPA 25%g1desvios estandar0.0140.0150.0330.0510.0180.029
Fuerza 3Area-FT 3:4Fuerza 3Area-FT 3:4g2desvios estandar0.0160.0170.0390.0590.0200.03648.852.1
MPaMPa sMPaMPa sg3desvios estandar0.0400.0430.1120.1660.0530.08948.853.3
AdherenciaAdherenciaAdherenciaAdherenciag4desvios estandar0.0090.0100.0320.0450.0120.02453.053.7
G1g5desvios estandar0.0060.0060.0190.0280.0100.01656.164.7
G2g1Incertidumbre0.0160.0170.0380.0580.0210.03350.251.6
G3g2Incertidumbre0.0180.0190.0450.0680.0230.041
G4-0.0038-0.0018-0.0036-0.0016g3Incertidumbre0.0460.0500.1280.1890.0610.102
G5g4Incertidumbre0.0100.0120.0360.0510.0140.028
g5Incertidumbre0.0060.0070.0220.0320.0110.018
Compresion
TPA20%TPA 25%
Esfuerzo aparente a la fracturaEsfuerzo corregido a la fracturaDeformacin Cauchy a la fracturaDeformacin Hencky a la fracturaModulo de DeformabilidadTrabajo a la fracturaFuerza 2Fuerza 1Grado de elasticidadCohesividadF2/F1Fuerza 1Fuerza 2Grado de elasticidadCohesividadF2/F1
G1363.6715755694290.93726045550.381561250.32321047851154.76685418873.46150723020.20616666670.22248.79523278830.58774167410.92864177190.25860.281252.11965380150.57432237490.9196231819
G2340.8766841196272.70134729570.37589750.31910152991124.397484701669.00088022450.21133333330.22748.76576049190.59666790720.93094982030.24560.266653.2944950420.57653405020.9212531815
G3263.9017006847211.12136054780.313143750.27239641921312.216606685848.22065539370.1910.206552.96637884510.59622789270.9253834370.21280.234253.65028457460.58000628240.9153904127
G4119.046304356395.2370434850.229766250.2068034819764.512336135316.55500103940.09516666670.105166666756.13201361250.576371360.90535712320.11540.09364.72130567430.51119589910.8056144553
G5266.6885369434213.35082955480.353781250.30287023631030.203718380152.34466960720.16216666670.17550.20297753350.59006630640.92664437550.17820.193451.61987563210.5800417110.9215930345
correl parametro promedios
0
0
0
0
0
correlacion total
0
0
0
0
0
0
x
Residuos
x Grfico de los residuales
Correlaciones puntuales
00
00
00
00
00
00
y
Pronstico y
x
y
x Curva de regresin ajustada
Valores individuales
0
0
0
0
0
0
Muestra percentil
y
Grfico de probabilidad normal
ANOVAS
KpaKpa (hencky)CauchyHenckyTiempoModuloTrabajoNTiempo1Fuerza 2Fuerza 1/eFuerza 2Fuerza 1Area-FT 1:2Dif.Tiempo 1:2Area-FT 1:3Area-FT 2:3Dif.Tiempo 4:5Area-FT 4:6% work recor.
Kpa1
Kpa (hencky)11
Cauchy0.97015168590.97015168591
Hencky0.9698162260.9698162260.99988660821
Tiempo0.96710679490.96710679490.98713339020.9862695651
Modulo0.73062531090.73062531090.64098703510.64985888110.62088138411
Trabajo0.99831910220.99831910220.97998474890.97920098240.97771314720.69587802681
N0.87719972890.87719972890.7810964030.78590293270.7944089220.94371414020.85159340731
Tiempo10.86897070.86897070.82185329510.82610872420.75238479950.85003147270.85041244350.84285972191
Fuerza 20.9577687980.9577687980.89470418830.89793599010.89347901380.89204878250.9418546170.97559815190.90068265411
Fuerza 1/e0.87719972890.87719972890.7810964030.78590293270.7944089220.94371414020.851593407310.84285972190.97559815191
Fuerza 20.96008199390.96008199390.89870633120.90139184660.91052342590.86902566740.94631498980.97372309620.86109019060.99621016330.97372309621
Fuerza 10.95851482460.95851482460.89526778040.897994220.90697070810.87204930710.94425844950.97546630550.86213569380.99650292660.97546630550.99996057131
Area-FT 1:20.9621659840.9621659840.89242835740.8951593050.88860495550.88300846610.94572795180.97091468790.91041544980.99850604230.97091468790.99292761380.9933969351
Dif.Tiempo 1:20.28847694830.28847694830.23581579450.23438855650.1077948450.21084348460.27466346610.14338044860.5963998450.23525148580.14338044860.16385216680.16644732570.27686183841
Area-FT 1:30.97324240820.97324240820.90913748540.91135511970.90631464580.86221954430.95911953730.96130243630.90611022640.99709631560.96130243630.99320914990.99335057070.99900906730.27607931751
Area-FT 2:30.98821661860.98821661860.93483799680.93614934250.93366531170.82126353390.97832127750.93942117590.8943031040.98976638310.93942117590.98886529750.9884135890.99234290810.27312843360.99685609551
Dif.Tiempo 4:50.59133841240.59133841240.63497834420.62716200590.56491732340.0351965080.61494350130.17972597690.54313049230.37421737040.17972597690.35250812920.34905107980.40624516010.69066235050.43608385510.48699130921
Area-FT 4:60.97173728680.97173728680.90924782870.91160992520.90918487030.8650938140.95780517050.96474998120.89821806090.99818052010.96474998120.99583991840.99591502420.99879604580.25180126280.99966109440.99631129630.41889413371
% work recor.0.95048126410.95048126410.99100150610.98912762460.98789300060.54033768150.96652620960.71463747850.74967358650.84255923620.71463747850.85424897180.85005828030.84151783990.19585876080.86336476650.89835905250.67484176770.86357236931
W1/w2-0.7454854099-0.7454854099-0.7321556797-0.7400835128-0.7595829755-0.8728387595-0.731298359-0.8917093874-0.6654250945-0.8610774877-0.8917093874-0.8735177397-0.872999446-0.83261295680.195723495-0.8235583955-0.80402597630.0491021336-0.8367105553-0.6688678471
F1/F2-0.9447621894-0.9447621894-0.9577481836-0.9615289866-0.9498341589-0.806643919-0.943392709-0.887353787-0.8500695492-0.94998791-0.887353787-0.9514320148-0.9492416667-0.9378051626-0.1296999309-0.9433978963-0.9493049041-0.4097910803-0.9477819746-0.9184618276
Fuerza 10.9735190930.9735190930.89095982370.89103814260.90172591240.79786774050.96050365810.93816489370.86056072070.97578819410.93816489370.97849690590.97875293360.98318631230.27588487680.98724674690.98934811140.47407673520.98576717780.85958629
Fuerza 20.97796428120.97796428120.9100548680.91154149820.91249473230.84025336610.96479934950.95515104930.89075847550.99293411070.95515104930.99197045630.99204188840.99621358020.26872722050.99860825710.99788948010.45082881150.99810541210.8699023721
Area-FT 1:20.93537946430.93537946430.82214248590.82100473680.83681329460.76045058050.91837456850.91118180680.82913726480.93801180290.91118180680.93968558010.94087432580.9523452230.32689215310.95529251560.95528153370.4764147640.95152835080.7936253927
Dif.Tiempo 1:20.35559494570.35559494570.11877345310.11697383520.15714803460.4848772590.31270131640.55903086770.37639482250.45863656630.55903086770.45405675290.46071591360.48752223520.28548108340.47053145820.43644109850.00988077980.46320131760.0795194117
Area-FT 1:30.95334208010.95334208010.85239397450.85118059660.8633781120.7539514470.93896176990.90716035050.84245706310.94517584240.90716035050.9465795860.9473222380.95884362430.33472874810.96353269430.96666006070.51140312920.95972146920.8261684452
Area-FT 2:30.97785150240.97785150240.900050150.89873618820.90390603210.73686337740.9682828810.89254947930.86069869130.95050327410.89254947930.95120029910.95113651710.96285540640.34764999110.97059808430.97927489750.57063030390.96670794130.8779244507
Dif.Tiempo 4:50.20487234860.20487234860.14328961910.12871789010.195630188-0.37907617230.224662378-0.0948994485-0.0903637428-0.0046786566-0.09489944850.02817186040.02668716810.03292196770.18561974270.06316459840.11526034090.56611067620.05234911960.2434872922
Area-FT 4:60.96860712180.96860712180.87964951730.87877633250.88789881220.76320390210.95599455520.91322216460.85646286120.95751478910.91322216460.95878442770.95915525530.96914619730.32595676460.97456608540.97904455180.52160373770.9713055790.8529540496
% work recor.0.88983617550.88983617550.9257081160.93111484310.88113235110.80499757720.8878831510.82260798290.89868266790.90002986630.82260798290.88312531580.88102975950.8887894140.27024784380.89186404280.89382779890.45421683640.89332765930.8715147175
W1/w2-0.8590266186-0.8590266186-0.8866327676-0.8934868769-0.8537918647-0.8542390506-0.8529214758-0.855663959-0.867562448-0.9049373749-0.855663959-0.891947838-0.890310145-0.8879695295-0.1669900306-0.8865567268-0.8805900026-0.3193717346-0.8910628434-0.8235823655
F1/F20.88143769660.88143769660.89327413190.89980806480.86161310920.8772979980.87279995620.88510535380.89260446580.9303209780.88510535380.91643649210.91523055250.91617978920.19953306150.91405627530.90657423060.33388160830.91763150390.8287025356
Elasticidad-0.804578969-0.804578969-0.8052208693-0.8137780672-0.7806272726-0.9216672654-0.7895825024-0.8929297768-0.8442949027-0.9017408106-0.8929297768-0.8881551417-0.887789996-0.8818196922-0.1067654096-0.872847507-0.8534258104-0.1614232099-0.879183554-0.7263945458
Firmeza0.82707049290.82707049290.85450041430.86197824520.83805352660.85805147090.82041106480.86113713310.80661385590.89128131850.86113713310.88629136640.88462747040.86869217990.04077715920.86565595430.85691832780.20926898190.87342473440.7916712856
Deformabilidad0.75824167140.75824167140.79372598160.80113876370.80943104860.79680863890.75482324290.82268962650.65896302190.83132490050.82268962650.84398070380.8417683860.8002216947-0.18996425140.79782373980.79054526170.05475891590.81096493980.7426639415
Friabilidad0.44590963580.44590963580.27835218950.28572461380.22896332390.83770833550.39500962030.71893023210.73231007610.63226989920.71893023210.58317060190.58984515640.64592651870.5097400310.61543852170.55781330770.00662367870.60790408620.1659992397
Adherencia-0.8733819645-0.8733819645-0.9236383505-0.9289418617-0.9079509347-0.7708526917-0.8761255149-0.8176823929-0.7976328374-0.88414306-0.8176823929-0.884334344-0.8813664287-0.8643040749-0.0612010503-0.8694812817-0.8753399091-0.3479356174-0.8761130565-0.8814237942
Solubilidad-0.8709707723-0.8709707723-0.9065812575-0.9128061185-0.8792418242-0.8262394018-0.8681541798-0.8454006654-0.8490537451-0.9024900973-0.8454006654-0.8939720587-0.8918402906-0.8848635411-0.1366551571-0.8860514883-0.884717101-0.3393866568-0.8911348867-0.8512327922
Humedad-0.831385214-0.831385214-0.8153043951-0.8233494733-0.793252554-0.9411253163-0.8141292861-0.9233848696-0.8679702717-0.9289856207-0.9233848696-0.9152907678-0.9153293967-0.9122435669-0.1380851218-0.9029773647-0.8827491056-0.1817404683-0.9083411912-0.7363940728
W1/w2F1/F2Fuerza 1Fuerza 2Area-FT 1:2Dif.Tiempo 1:2Area-FT 1:3Area-FT 2:3Dif.Tiempo 4:5Area-FT 4:6% work recor.W1/w2F1/F2ElasticidadFirmezaDeformabilidadFriabilidadAdherenciaSolubilidadHumedad
Kpa
Kpa (hencky)
Cauchy
Hencky
Tiempo
Modulo
Trabajo
N
Tiempo1
Fuerza 2
Fuerza 1/e
Fuerza 2
Fuerza 1
Area-FT 1:2
Dif.Tiempo 1:2
Area-FT 1:3
Area-FT 2:3
Dif.Tiempo 4:5
Area-FT 4:6
% work recor.
W1/w21
F1/F20.89068194541
Fuerza 1-0.7564698118-0.89709593631
Fuerza 2-0.806952913-0.93435452480.99400619121
Area-FT 1:2-0.6696800513-0.81592541840.98732051240.9668261361
Dif.Tiempo 1:2-0.1958984565-0.16147460660.54926544960.48888925010.66268519221
Area-FT 1:3-0.6760318839-0.83863701540.99227562020.97451784690.99833298890.62030117761
Area-FT 2:3-0.682086104-0.87301787840.99284947860.98038281990.98677522370.53808011830.99448474781
Dif.Tiempo 4:50.37587146670.09645662290.21154567810.11274694690.30468018210.34107106760.30374147690.29781979341
Area-FT 4:6-0.7010788732-0.86726696210.99671759230.98393510710.99389255710.57667957060.99836361530.99797933680.27607948921
% work recor.-0.8338492397-0.97095821840.81973483160.87326822640.72826736640.05619665170.75623568840.8013729353-0.22246016550.790088751
W1/w20.9010978680.9708796865-0.8064612444-0.8653452034-0.7104318948-0.0739910576-0.7338457043-0.7709032060.3143410394-0.7674842846-0.98903058791
F1/F2-0.9006681118-0.97556301640.84069280250.89447783260.75374784350.14117381890.77458166450.8066096707-0.27899309040.80498781130.9880347052-0.99755973651
Elasticidad0.94399873810.9365797005-0.7869042623-0.8484711161-0.6975102694-0.1571827022-0.7120412711-0.73327030370.4124256007-0.7413236557-0.94787185120.9826640421-0.98343472641
Firmeza-0.9466166169-0.96263709770.78348904690.84438937770.68201490810.06344169590.70276870430.7351170342-0.36030070870.7368006030.9627738059-0.99114895540.9858236588-0.98838683621
Deformabilidad-0.9775808162-0.92147087730.72062050070.77978415290.61142719670.01419229060.62955984890.6573652106-0.37565505490.66420593780.8843100455-0.93523090590.9237817597-0.9457910710.97289817471
Friabilidad-0.4735483561-0.42241426560.58112594730.59622746830.61908154140.7241303110.59339318540.5432983011-0.27083720480.5774932890.4600756053-0.49020609350.5352791052-0.58500403870.46082889950.33797676151
Adherencia0.89823859950.9826675591-0.7999578516-0.8538118887-0.6951969950.0044790538-0.7233942634-0.7688343350.2312729287-0.76023438-0.97656894780.9836732968-0.97594377810.9479689609-0.9826741027-0.9527511862-0.34240815561
Solubilidad0.90038428370.9797857419-0.8102249717-0.8669877859-0.7113076103-0.048269257-0.7366847491-0.77714417780.2786650382-0.7714844262-0.98951094430.9978391035-0.99379566640.9725968435-0.99069358-0.9424149882-0.43933537670.99325198371
Humedad0.94164151340.9419872441-0.8258609616-0.8809709891-0.7466025313-0.2297656126-0.7584952227-0.77451088750.3635805087-0.7841996293-0.94495346370.9775091096-0.98362176540.9969955951-0.9802428399-0.9321898603-0.6260585310.93908727210.96646206341
anovas 2
Fuerza a la fracturaMdulo de DeformabilidadF 1F1/F2 (20%)F 1F1/F2(25%)FirmezaMdulo de DeformabilidadGrado de elasticidad (20%)Grado de elasticidad (25%)ElasticidadDeformacin CauchyDeformacin HenckyW2/W1(20%)W2/W1(25%)Deformabilidad
115548.852.12.440.380.320.5880.5743.91
36411552220.92864177192590.91962318194.36112448.853.32.330.380.320.5970.5774.76
34111242270.93094982032460.92125318154.81131253.053.72.160.310.270.5960.584.47
26413122070.9253834372130.91539041274.7776456.164.73.460.230.210.5760.5112.74
1197641050.90535712321150.80561445532.28103050.251.62.360.350.30.590.584.41
26710301750.92664437551780.92159303454.72
Fuerza a la fracturaMdulo de DeformabilidadF 1F1/F2 (20%)F 1F1/F2(25%)Mdulo de DeformabilidadGrado de elasticidad (20%)Grado de elasticidad (25%)Deformacin CauchyDeformacin HenckyW2/W1 (20%)W2/W1 (25%)
Firmeza0.830.860.890.960.780.98Elasticidad-0.920.730.95Deformabilidad0.790.800.970.94
Fuerza a la fracturaMdulo de DeformabilidadF 1F1/F2 (20%)F 1F1/F2(25%)Firmeza
Fuerza a la fractura1
Mdulo de Deformabilidad0.73087149131
F 10.95721455440.87436457971
F1/F2 (20%)0.94521275040.80672841590.9496962541
F 10.97302156660.79827309870.97814454160.89754310571
F1/F2(25%)0.89401366810.84061342830.91079159480.98396980040.83893730461
Firmeza0.82839195340.8588505990.88637160690.96272960650.78450150090.98460684721
Resumen
Estadsticas de la regresin
Coeficiente de correlacin mltiple0.828
Coeficiente de determinacin R^20.686
R^2 ajustado0.582
Error tpico61.970
Observaciones5
ANLISIS DE VARIANZA
Grados de libertadSuma de cuadradosPromedio de los cuadradosFValor crtico de F
Regresin125197.111685347225197.11168534726.56124189310.0831060557
Residuos311520.88831465283840.2961048843
Total436718
CoeficientesError tpicoEstadstico tProbabilidadInferior 95%Superior 95%Inferior 95,0%Superior 95,0%
Intercepcin-36.3409166688123.1441678933-0.29510871110.7871557056-428.2409864422355.5591531045-428.2409864422355.5591531045
Variable X 173.386083254328.64973997482.56149212240.0831060557-17.790261409164.5624279175-17.790261409164.5624279175
Anlisis de los residualesResultados de datos de probabilidad
ObservacinPronstico para YResiduosResiduos estndaresPercentilY
1283.622406319780.37759368031.49769028510119
2316.646143784124.35385621590.453789821130264
3313.710700454-49.710700454-0.926268550267
4130.9793531509-11.9793531509-0.223213460570341
5310.0413962913-43.0413962913-0.801998145690364
anovas 2
00001
0000
0000
0000
0000
Fuerza a la fractura
Mdulo de Deformabilidad
F 1
F1/F2 (20%)
0
0
0
0
0
Variable X 1
Residuos
Variable X 1 Grfico de los residuales
00
00
00
00
00
Y
Pronstico para Y
Variable X 1
Y
Variable X 1 Curva de regresin ajustada
0
0
0
0
0
Muestra percentil
Y
Grfico de probabilidad normal
TPA 20%TPA 25%
compresionRelajacionFuerza 2Fuerza 1Fuerza 3Area-FT 1:2Dif.Tiempo 1:2Area-FT 1:3Area-FT 2:3Area-FT 3:4Dif.Tiempo 4:5Area-FT 4:6Degree of elasticityCohesividadCohesividadFuerza 1Fuerza 2Fuerza 3Area-FT 1:2Dif.Tiempo 1:2Area-FT 1:3Area-FT 2:3Area-FT 3:4Dif.Tiempo 4:5Area-FT 4:6Degree of elasticityCohesividadCohesividad
FuerzaFuerzaDistanciaDistanciaTiempoModuloTrabajoFuerza 1Tiempo1Fuerza 2Fuerza 1/eMPaMPaMPaMPa ssMPa sMPa sMPa ssMPa sarea 1:3/4:6F2/F1MPaMPaMPaMPa ssMPa sMPa sMPa ssMPa sarea 1:3/4:6F2/F1
KpaKpa (hencky)CauchyHenckysKPa/CauchyKPa.CauchyNsNNFuerza 2Fuerza 1AdherenciaArea-FT 1:2Dif.Tiempo 1:2Area-FT 1:3Area-FT 2:3AdherenciaDif.Tiempo 4:5Area-FT 4:6% work recor.W2/w1Fuerza 1Fuerza 2AdherenciaArea-FT 1:2Dif.Tiempo 1:2Area-FT 1:3Area-FT 2:3adhenciaDif.Tiempo 4:5Area-FT 4:6% work recor.W2/w1
G1375.4823370448300.390.380470.32248.2051331.055359950175.237887980936.6724.4714.63913.50.2250.2420.5234.3050.7910.2694.0150.46448.60.5870.92980.2480.2720.7845.611.1460.3635.1250.64653.70.5640.912
G1344.5023321077275.600.385460.32608.2051058.218243708573.370902571237.3844.4214.46513.80.1970.2130.4574.5550.690.2344.240.40548.80.5870.92490.2640.2870.8025.681.180.384.9750.67552.60.5720.920
G1367.245254583293.800.37480.31838.0051181.644558198872.47989450335.2924.39513.57713.00.1970.2120.4544.540.6860.2334.160.40548.70.5900.92920.2580.280.795.641.1660.3775.190.66652.30.5710.921
G1361.8794579636289.500.38480.32569.021032.883368628971.526588626631.9414.43512.87611.80.2230.240.5224.5650.7890.2694.290.46348.50.5870.92920.2670.2910.8165.711.2050.395.230.68752.20.5700.918
G1358.2481258689286.600.385510.32619.0451147.215112577872.693292104635.174.4114.13512.90.20.2150.4724.5050.710.2394.1750.41649.40.5860.93020.2560.2760.7375.6151.1050.375.210.65749.80.5950.928
G1368.5769595551294.860.379990.32218.241073.159323883673.761319492337.1734.41514.86813.70.1950.210.4544.5850.6850.2324.2250.40448.90.5900.9286
G1359.6707765464287.740.384010.32508.3751182.294170380373.010043004335.9514.4314.40613.2
G1373.7673608856299.010.377450.32028.21231.664696176475.6121295587
G2329.1390040146263.310.374250.31798.72992.607413374263.958996479138.9524.4514.55514.330.2270.2440.5064.320.7640.25940.45648.80.5970.93030.2540.2760.7245.481.0670.3444.9450.61552.50.5760.920
G2303.7066871078242.970.372020.31638.775953.630682482660.412438774134.9244.4813.14212.850.1870.2010.3914.2350.590.23.8750.35148.80.5950.93030.2190.2380.6255.4650.9130.2894.9950.52953.80.5790.920
G2340.9814340839272.790.376970.31998.8951114.084891319968.793345372837.0344.4113.9513.620.2180.2350.4734.170.7140.2433.850.42548.60.5950.92770.2550.2780.7875.351.1430.3574.8750.64754.60.5660.917
G2331.2762280918265.020.370560.31528.711149.813561303967.254673959635.9854.3313.64613.240.1970.2120.4514.170.6760.2263.8850.449.90.5920.92920.2350.2540.6695.3850.9820.3134.90.56953.20.5790.925
G2332.2831269732265.830.372110.31638.661122.529849679767.291766815236.7934.35513.8613.540.2170.2320.4464.190.6770.2323.930.40848.00.6030.93530.2650.2870.7585.5051.1180.3615.060.6552.40.5810.923
G2359.1186061921287.290.377280.32018.9051216.723616001273.404357598536.7924.3713.73413.540.2220.2380.4794.190.7250.2473.890.43448.40.5990.9328
G2366.7970221778293.440.380420.32248.9351234.91275708475.373591965636.0964.34513.18713.28
G2363.7113643155290.970.383570.32479.0751210.877106367575.5178708311
G3261.7027634502209.360.32440.28107.1551310.267770141246.983265990239.0374.4313.71414.40.160.1750.3594.4550.5220.1644.0450.30454.30.5820.91430.2440.2690.7485.31.0720.3254.8450.61456.60.5730.907
G3242.545700217194.040.311960.27156.891358.339071574343.162636905838.844.39513.32314.30.160.1730.3494.340.5150.1674.170.31652.10.6140.92490.260.2870.8065.341.1550.3514.7850.65556.50.5670.906
G3257.629695072206.100.301750.26376.571156.309683119244.03610544538.1914.40513.41814.00.2410.260.5574.3950.8250.2693.9850.48551.70.5880.92690.1010.1040.086.5250.1290.051.860.08437.50.6510.971
G3258.9808884096207.180.295670.25906.4851319.362340682646.04581065135.9884.42512.34913.20.210.2290.5084.310.7420.2362.6950.42853.50.5770.91700.260.2850.8075.3151.1560.354.770.65856.60.5690.912
G3282.8541360808226.280.318990.27696.9751264.145305252851.772271953636.8524.38512.53213.60.1480.1570.3014.220.4430.1433.8850.28152.50.6340.94270.1990.2260.6615.4550.9170.2574.8550.49561.10.5400.881
G3260.1112136055208.090.319470.27727.0351253.751510348349.615169743736.354.43513.11713.40.2270.2450.5430.7950.2520.46353.60.5820.9265
G3269.0044043706215.200.309330.26956.7651281.68483415450.758032454634.8134.3811.19312.8
G3278.3848042718222.710.323580.28037.121553.872338214153.3919500058
G4112.103574166289.680.240910.21585.26723.018358040216.283633670718.1574.3654.3386.70.0880.0980.2114.410.3010.0913.8150.17256.90.5710.89800.1170.094-0.0030.3565.290.4810.126-0.0024.590.24764.60.5140.803
G4122.666268237998.130.229540.20664.9728.215255492517.868297626318.7964.314.2166.90.0810.0880.1754.350.2530.0793.9050.14754.90.5810.92050.110.084-0.0040.3420.4560.114-0.0025.2450.22466.70.4910.764
G4114.065402954491.250.235480.21155.12762.644701113416.506385687718.4314.2853.886.80.1010.113-0.0030.2564.2050.3640.108-0.0013.880.20457.80.5600.89380.1190.093-0.0040.370.4940.124-0.0020.24466.50.4940.782
G4124.251321960899.400.231670.20845.045869.830711065517.291636892816.9144.3954.2226.20.10.11-0.0040.2424.260.3480.107-0.0023.730.19855.80.5690.90910.1110.093-0.0030.3160.4340.118-0.0010.22962.70.5280.838
G4120.119788486396.100.2120.19234.595807.467941638815.402564668918.354.373.996.80.1050.116-0.0040.2590.3710.112-0.0020.21256.80.5710.90520.120.101-0.0040.3450.4720.127-0.0010.2563.20.5300.842
G4117.053618989593.640.225930.20374.915749.652457482916.032233756417.0364.3654.2326.30.0960.106-0.0040.2230.3240.101-0.0020.19654.70.6050.9057
G4120.983772687796.790.230480.20744.99746.404396575216.48384414517.0544.364.1436.3
G4121.126687367696.900.232120.20875.06728.86486767416.5714118671
G5249.96427133199.970.339710.29257.385914.653951590947.089412620728.144.44510.39610.40.1730.1860.4024.3350.6010.2014.0450.35450.00.5890.93010.1880.2050.5174.8250.760.2444.4450.43652.80.5740.917
G5264.6000337798211.680.353330.30267.6751026.387246813652.847185230427.5844.3810.18710.10.1570.1690.3454.3850.5160.17240.30750.10.5950.92900.1750.1890.4654.90.6860.2214.50.39652.50.5770.926
G5282.3084618483225.850.362040.30907.8051171.250763294357.247723109326.8984.44510.0199.90.160.1740.3714.3250.5520.1823.920.31950.90.5780.91950.1690.1820.4164.880.6180.2034.290.36351.20.5870.929
G5249.7628915537199.810.334990.28897.185977.016721017646.999831100827.354.3610.17510.10.160.1720.3594.370.5380.183.9950.31949.90.5930.93020.170.1850.4544.8550.6690.2164.430.38652.40.5770.919
G5279.9503696293223.960.363130.30987.9351086.801179695755.252894022326.8514.39510.1919.90.160.1730.374.340.5540.1854.0550.32850.00.5920.92490.1890.2060.4984.7750.7420.2454.4150.43449.20.5850.917
G5257.9025321883206.320.351930.30157.691008.847717912450.353194143127.5534.38510.22610.10.1630.1760.3724.3250.5560.18540.3350.30.5940.9261
G5277.3194402941221.860.367690.31318.041075.108160428254.53247411327.1944.3710.18110.0
G5271.7002949239217.360.357430.30567.805981.564006288254.4346425184
F2/F1elasticidad
G1G2G3G4G5G1G2G3G4G5
0.92975206610.93032786890.91428571430.89795918370.930107526948.565965583248.81422924954.317548746556.872037914750
0.92488262910.93034825870.92485549130.92045454550.928994082848.796498905948.849104859352.148997134754.857142857150.1449275362
0.9292452830.92765957450.92692307690.89380530970.919540229948.678414096948.625792811851.705565529657.812550.9433962264
0.92916666670.9292452830.91703056770.90909090910.930232558148.467432950249.88913525553.543307086655.785123966949.860724234
0.93023255810.93534482760.94267515920.90517241380.924855491349.364406779747.982062780352.491694352256.756756756850
0.92857142860.93277310920.92653061220.90566037740.926136363648.898678414148.434237995853.59116022154.708520179450.2688172043
Anlisis de varianza de un factorAnlisis de varianza de un factor
RESUMENRESUMEN
GruposCuentaSumaPromedioVarianzaGruposCuentaSumaPromedioVarianza
G165.57185063160.92864177190.00000370780.00192557510.0006G16292.771396729948.80.1016648850.31884931390.1
G265.58569892190.93094982030.00000742410.00272471420.0008G26292.594562951348.80.40298931650.63481439530.2
G365.55230062170.9253834370.00009917980.00995890320.0029G36317.798273070653.01.00638930221.00318956440.3
G465.43214273910.90535712320.00008603470.0092754870.0027G46336.792081674956.11.50678717721.22751259760.4
G565.55986625270.92664437550.00001686330.00410649890.0012G56301.217865200950.20.15109231690.38870595170.1
ANLISIS DE VARIANZAANLISIS DE VARIANZA
Origen de las variacionesSuma de cuadradosGrados de libertadPromedio de los cuadradosFProbabilidadValor crtico para FOrigen de las variacionesSuma de cuadradosGrados de libertadPromedio de los cuadradosFProbabilidadValor crtico para F
Entre grupos0.002546887540.000636721914.93182568380.00000232112.7587105933Entre grupos239.9915972387459.997899309794.666073225602.7587105933
Dentro de los grupos0.0010660483250.0000426419Dentro de los grupos15.8446149886250.6337845995
Total0.003612935729Total255.836212227329
q 0,05;5;354.07q 0,05;5;354.07
MDS0.009MDS1.1
Cohesividad
G1G2G3G4G5
0.58659924150.59685863870.58237547890.57142857140.5890183028
0.58695652170.59491525420.6135922330.5810276680.5949612403
0.58681875790.59171597630.5768194070.56896551720.592936803
0.5859154930.60265878880.63431151240.57142857140.5920577617
0.58978102190.59862068970.58238993710.60493827160.5935251799
Anlisis de varianza de un factor
RESUMEN
GruposCuentaSumaPromedioVarianza
G152.9360710360.58721420720.000002219
G252.98476934770.59695386950.0000167312
G352.98948856850.59789771370.0006245021
G452.89778859970.57955771990.0002226735
G552.96249928770.59249985750.0000049043
ANLISIS DE VARIANZA
Origen de las variacionesSuma de cuadradosGrados de libertadPromedio de los cuadradosFProbabilidadValor crtico para F
Entre grupos0.001151904540.00028797611.65307758420.20027982272.8660807061
Dentro de los grupos0.003484121200.000174206
Total0.004636025524
Degree of elasticity
g1g2g3g4g5
53.7052.4956.5564.6152.80
52.6253.7656.4566.6752.47
52.2854.6437.5066.4951.20
F2/F152.2153.2156.6362.6652.42
g1g2g3g4g549.8052.3761.1263.1949.20
0.91176470590.92028985510.9070631970.80341880340.9170731707
0.91986062720.92016806720.90592334490.76363636360.9259259259
0.92142857140.91726618710.97115384620.7815126050.9285714286Anlisis de varianza de un factor
0.91752577320.92519685040.91228070180.83783783780.9189189189
0.92753623190.92334494770.88053097350.84166666670.9174757282RESUMEN
GruposCuentaSumaPromedioVarianza
g15260.598269007352.12.0432264318
g25266.472475209853.30.8818240747
Anlisis de varianza de un factorg35268.251422872853.785.4393068286
g45323.606528371464.73.3798724435
RESUMENg55258.099378160451.62.2056492641
GruposCuentaSumaPromedioVarianza
g154.59811590960.9200.0000330217
g254.60626590750.9210.0000094824ANLISIS DE VARIANZA
g354.57695206330.9150.0011233448Origen de las variacionesSuma de cuadradosGrados de libertadPromedio de los cuadradosFProbabilidadValor crtico para F
g454.02807227660.8060.0011714971Entre grupos594.61496604734148.65374151187.91133224580.0005406582.8660807061
g554.60796517230.9220.0000280011Dentro de los grupos375.79951617092018.7899758085
Total970.414482218224
ANLISIS DE VARIANZA
Origen de las variacionesSuma de cuadradosGrados de libertadPromedio de los cuadradosFProbabilidadValor crtico para Fq 0,05;5;354.07
Entre grupos0.0519695140.012992377527.46399736210.0000000712.8660807061MDS7.890
Dentro de los grupos0.0094613885200.0004730694
Cohesividad
Total0.061430898524g1g2g3g4g5
0.56369982550.57638238050.5727611940.51351351350.5736842105
q 0,05;5;354.070.57203389830.57940854330.56709956710.49122807020.5772594752
MDS0.0400.57118353340.56605424320.65116279070.49392712550.5873786408
0.57012448130.57942973520.56920415220.52764976960.576980568
0.59457013570.58139534880.53980370770.52966101690.5849056604
Anlisis de varianza de un factor
RESUMEN
GruposCuentaSumaPromedioVarianza
g152.87161187430.5740.0001388805
g252.88267025110.5770.0000375323
g352.90003141180.5800.0017538141
g452.55597949570.5110.0003284966
g552.90020855490.5800.0000337544
ANLISIS DE VARIANZA
Origen de las variacionesSuma de cuadradosGrados de libertadPromedio de los cuadradosFProbabilidadValor crtico para F
Entre grupos0.01782291140.00445572789.71814723850.00015564822.8660807061
Dentro de los grupos0.009169912200.0004584956
Total0.02699282324
q 0,05;5;354.07
MDS0.039
_1159692719.xlsOlor
ATRIBUTO:Olor
Queso
N PanelistaRepeticionesG1G2G3G4G5
1145364
245455
342643
442523
2155553
244564
344554
444555
3154565
265565
35666
454665
4155545
264555
334543
443354
5154445
243455
3
4
6155454
264565
333554
444455
7165644
264465
344644
443455
8155674
264474
344665
434665
9165665
265465
344554
444454
10144564
244675
355746
4
11145664
265664
345756
455775
12155655
265555
3
4
13165544
253365
356764
456664
14155664
254566
344664
444664
15156676
255766
365764
463634
161564
2
3
4
171
2
35
4
181
2
33
4
191
2
333611
421362
Anlisis de varianza de un factor
RESUMEN
GruposCuentaSumaPromedioVarianza
G1582694.63793103450.9718693285
G2582474.25862068970.9670296431
G3572995.24561403511.1885964912
G4583095.32758620691.3469449486
G5582574.43103448280.9162129462
ANLISIS DE VARIANZA
Origen de las variacionesSuma de cuadradosGrados de libertadPromedio de los cuadradosFProbabilidadValor crtico para F
Entre grupos53.7483447313413.437086182812.46781681650.00000000232.40343212
Dentro de los grupos306.07864488812841.0777417074
Total359.8269896194288
Aroma
ATRIBUTO:Aroma
Queso
N PanelistaRepeticionesG1G2G3G4G5
1122443
254542
354533
442353
2144453
243544
343544
443454
3111131
222121
33443
422232
4132233
222222
321432
431243
5143333
232244
3
4
6133345
243473
333544
444464
7112222
212132
322223
422233
8132232
232332
333443
422232
9154464
244444
355433
434343
10122332
232332
333664
4
11111212
211221
311111
421211
12142344
233232
3
4
13132222
211232
345655
433554
14123342
233344
345545
444535
15177775
214125
343552
442423
161533
2
3
4
171
2
32
4
181
2
34
4
191
2
353442
422451
Anlisis de varianza de un factor
RESUMEN
GruposCuentaSumaPromedioVarianza
G1581753.01724137931.7014519056
G2581592.74137931031.5635208711
G3571873.28070175442.0626566416
G4582083.58620689661.8257713249
G5581682.89655172411.3575317604
ANLISIS DE VARIANZA
Origen de las variacionesSuma de cuadradosGrados de libertadPromedio de los cuadradosFProbabilidadValor crtico para F
Entre grupos25.82531708146.45632927033.79579271680.00503820722.40343212
Dentro de los grupos483.06049606782841.7009172397
Total508.8858131488288
Dulce
ATRIBUTO:Dulce
Queso
N PanelistaRepeticionesG1G2G3G4G5
1113123
221221
331212
411120
2112001
200100
311000
400000
3100000
200000
30000
400000
4100000
200000
300000
400000
5100000
200000
3
4
6110001
211110
300110
411200
7100000
210011
300000
400000
8121100
221211
312112
40110
9100010
200001
310000
400000
10102001
201000
310001
4
11101101
202002
320000
413302
12102100
202001
3
4
13100100
200000
300000
400000
14100000
200000
300001
400000
15103013
220113
300001
410110
161000
2
3
4
171
2
30
4
181
2
30
4
191
2
310002
410101
Anlisis de varianza de un factor
RESUMEN
GruposCuentaSumaPromedioVarianza
G158280.48275862070.534785239
G258320.55172413790.7779794313
G357250.43859649120.5006265664
G458160.2758620690.3085299456
G557320.56140350880.7506265664
ANLISIS DE VARIANZA
Origen de las variacionesSuma de cuadradosGrados de libertadPromedio de los cuadradosFProbabilidadValor crtico para F
Entre grupos3.095892569140.77397314231.34803698620.2522910082.4035458068
Dentro de los grupos162.4839685422830.5741482987
Total165.5798611111287
Salado
ATRIBUTO:Salado
Queso
N PanelistaRepeticionesG1G2G3G4G5
1154555
255464
325544
456555
2144564
256466
344544
434455
3164565
255454
35665
455565
4165655
254565
354653
455544
5154445
243344
3
4
6133344
233344
322433
422233
7156465
264565
343543
465555
8154364
245476
355753
445454
9155544
255445
345443
433344
10153463
246565
344664
4
11145563
246465
367434
456556
12163564
256564
3
4
13144555
233354
345444
433434
14155554
254455
355554
444454
15177577
247774
366663
466366
161533
2
3
4
171
2
34
4
181
2
32
4
191
2
325342
421542
Anlisis de varianza de un factor
RESUMEN
GruposCuentaSumaPromedioVarianza
G1582544.37931034481.4676346038
G2582634.53448275861.6215970962
G3572574.50877192981.0401002506
G45829051.1578947368
G5582464.24137931030.9933454325
ANLISIS DE VARIANZA
Origen de las variacionesSuma de cuadradosGrados de libertadPromedio de los cuadradosFProbabilidadValor crtico para F
Entre grupos18.985205676244.7463014193.77627152920.00520603672.40343212
Dentro de los grupos356.95251058682841.2568750373
Total375.937716263288
Acido
ATRIBUTO:Acido
Queso
N PanelistaRepeticionesG1G2G3G4G5
1114253
211120
311001
410111
2154574
255475
345554
444454
3100000
200020
30000
400000
4111101
221131
31132
411332
5100000
200000
30
4
6112130
211230
300110
401011
7132344
231200
300010
400000
8133201
232322
301101
400111
9122311
232223
300000
400000
10163353
253566
325665
4
11100000
210000
300000
400000
12131211
210111
3
4
13142332
221132
302140
411111
14133232
232223
311221
410211
15166177
265466
335552
453055
161130
2
3
4
171
2
30
4
181
2
30
4
191
2
300000
400010
Anlisis de varianza de un factor
RESUMEN
GruposCuentaSumaPromedioVarianza
G158991.70689655173.4739866909
G258891.53448275862.8847549909
G357921.61403508772.7055137845
G4571242.17543859654.8972431078
G559901.52542372883.4605493863
ANLISIS DE VARIANZA
Origen de las variacionesSuma de cuadradosGrados de libertadPromedio de los cuadradosFProbabilidadValor crtico para F
Entre grupos16.670248852744.16756221321.19685537740.31236061882.40343212
Dentro de los grupos988.91452623382843.4820934022
Total1005.5847750865288
Amargo
ATRIBUTO:Amargo
Queso
N PanelistaRepeticionesG1G2G3G4G5
1123124
221112
321020
401000
2101111
211111
311112
400010
3100000
200000
30000
400000
4145424
246433
333655
443544
5100020
201230
3
4
6123113
221101
311131
412122
7110023
211200
301100
400000
8121101
211211
311000
400001
9111101
211111
300000
400000
10121122
211122
301221
4
11100002
220110
300000
400000
12153425
234334
3
4
13141221
211121
300000