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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).



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).



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


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


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correlacion total

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x Grfico de los residuales

Correlaciones puntuales

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00

00

00

00

00

y

Pronstico y

x

y

x Curva de regresin ajustada

Valores individuales

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Muestra percentil

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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


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


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


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


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


RESUMEN


g152.87161187430.5740.0001388805

g252.88267025110.5770.0000375323

g352.90003141180.5800.0017538141

g452.55597949570.5110.0003284966

g552.90020855490.5800.0000337544

ANLISIS DE VARIANZA


Entre grupos0.01782291140.00445572789.71814723850.00015564822.8660807061


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%)


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


G4-0.0038-0.0018-0.0036-0.0016g3Incertidumbre0.0460.0500.1280.1890.0610.102


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


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


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


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


RESUMEN


G152.9360710360.58721420720.000002219

G252.98476934770.59695386950.0000167312

G352.98948856850.59789771370.0006245021

G452.89778859970.57955771990.0002226735

G552.96249928770.59249985750.0000049043

ANLISIS DE VARIANZA


Entre grupos0.001151904540.00028797611.65307758420.20027982272.8660807061


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


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


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


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


RESUMEN


g152.87161187430.5740.0001388805

g252.88267025110.5770.0000375323

g352.90003141180.5800.0017538141

g452.55597949570.5110.0003284966

g552.90020855490.5800.0000337544

ANLISIS DE VARIANZA


Entre grupos0.01782291140.00445572789.71814723850.00015564822.8660807061


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


RESUMEN


G1582694.63793103450.9718693285

G2582474.25862068970.9670296431

G3572995.24561403511.1885964912

G4583095.32758620691.3469449486

G5582574.43103448280.9162129462

ANLISIS DE VARIANZA


Entre grupos53.7483447313413.437086182812.46781681650.00000000232.40343212


Total359.8269896194288

Aroma

ATRIBUTO:Aroma

Queso


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


RESUMEN


G1581753.01724137931.7014519056

G2581592.74137931031.5635208711

G3571873.28070175442.0626566416

G4582083.58620689661.8257713249

G5581682.89655172411.3575317604

ANLISIS DE VARIANZA


Entre grupos25.82531708146.45632927033.79579271680.00503820722.40343212


Total508.8858131488288

Dulce

ATRIBUTO:Dulce

Queso


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


RESUMEN


G158280.48275862070.534785239

G258320.55172413790.7779794313

G357250.43859649120.5006265664

G458160.2758620690.3085299456

G557320.56140350880.7506265664

ANLISIS DE VARIANZA


Entre grupos3.095892569140.77397314231.34803698620.2522910082.4035458068


Total165.5798611111287

Salado

ATRIBUTO:Salado

Queso


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


RESUMEN


G1582544.37931034481.4676346038

G2582634.53448275861.6215970962

G3572574.50877192981.0401002506

G45829051.1578947368

G5582464.24137931030.9933454325

ANLISIS DE VARIANZA


Entre grupos18.985205676244.7463014193.77627152920.00520603672.40343212


Total375.937716263288

Acido

ATRIBUTO:Acido

Queso


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


RESUMEN


G158991.70689655173.4739866909

G258891.53448275862.8847549909

G357921.61403508772.7055137845

G4571242.17543859654.8972431078

G559901.52542372883.4605493863

ANLISIS DE VARIANZA


Entre grupos16.670248852744.16756221321.19685537740.31236061882.40343212


Total1005.5847750865288

Amargo

ATRIBUTO:Amargo

Queso


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

Documents

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