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Aseguramiento y Control de Calidad (QA/QC)
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ndiceIntroduccinTipos de muestraDefinicionesObjetivosProcedimientos de control de calidadMuestras duplicadasMuestras en blancoMuestras estndarControl de granulometraAnlisis estadstico de datosComparacin de duplicadosCartas de control
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IntroduccinEstimacin se realiza a partir de un pequeo nmero de muestras (usualmente menos de 1/1.000.000 del volumen a estimar)Muestras deben ser de alta calidad para representar adecuadamente el volumen estimadoRecordar definiciones importantes:Muestra: Es una parte del lote, generalmente obtenida por la unin de varios incrementos o fracciones del lote, y cuyo objetivo es representar el lote en las operaciones subsecuentes. Sin embargo, una muestra no es cualquier parte del lote: su extraccin debe respetar las reglas que la teora de muestreo establece. Su extraccin debe ser equiprobabilstica.Espcimen: Es una parte del lote obtenida sin respetar las reglas de la teora de muestreo. Un espcimen debe etiquetarse como tal y no debe usarse para representar el lote. Su propsito slo puede ser cualitativo.
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IntroduccinAgricola (1556): A prudent owner, before he buys shares, ought to go to the mine and carefully examine the nature of the vein, for it is very important that he should be on his guard lest fraudulent sellers of shares should deceive him
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IntroduccinTipos de muestras:Puntuales: por ejemplo, muestras de suelo. No siempre constituyen una muestra, a menudo son slo especimenes utilizados para una caracterizacin cualitativa de algn atributo (mineralizacin, alteracin, litologa, etc)Sondajes: forman la mayor parte de la base de datos y entregan informacin acerca de la disposicin tridimensional de la mineralizacin.Canales: asumen la recuperacin de todo el material en un prisma, aunque en la prctica difcilmente esto se logra.
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IntroduccinTipos de muestras:Chip samples: trozos de roca se recuperan en una configuracin regular para representar un volumen (muestreo en puntos de extraccin de block caving).Trincheras: grandes cantidades de material que puede haber sido removido con equipamiento pesado (retroexcavadora). Permite el muestreo de material de volmenes grandes como pilas, botaderos, etc.Bulk samples: muestras de gran volumen, obtenidas a menudo de la reunin de incrementos menores (rechazos, pulpas) para caracterizar alguna propiedad relevante a esa escala, como por ejemplo, desempeo de molinos. Otro ejemplo es la marina del avance de un tnel de exploracin.
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IntroduccinTestigos de sondajes son normalmente divididos a lo largo en dos mitades:Una se conserva en testigoteca como respaldo y para interpretacin geolgicaOtra mitad se utiliza para muestreo, pero generalmente no se utiliza completa (rechazos)A menudo, stas se fotografan para conservar como evidencia de las caractersticas del testigo, particularmente si ser consumido en procedimientos de muestreoMuestreos sin recuperacin de testigo requieren dejar parte del material extrado durante la perforacin y retener slo una cantidad manejable ( introduccin de errores)
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IntroduccinPara maximizar la calidad del muestreo:Reducir y conocer las magnitudes de los errores en la base de datosDesarrollar un plan y procedimientos de muestreo apropiados al objetivo que se persigueAsegurar que mtodos y procedimientos analticos tienen suficiente precisin y exactitudIntegrar conceptos geolgicos en la recoleccin de datos y evaluacin de cada fase de muestreo, de modo de asegurar que los datos se utilizan de manera eficazNo se debe pedir prestado el procedimiento de una operacin / unidad geolgica para la caracterizacin de otra
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DefinicionesExactitud: mide cun cercano es la medicin al valor verdadero generalmente desconocido, por lo que se utilizan muestras estndar.Estndares internacionales se utilizan para calibrar estndares locales (ms baratos), los que se utilizan en procedimientos de rutinaConsistencia en los resultados de anlisis de estndares permiten cuantificar la reproducibilidad del procedimiento analtico y la cercana del valor medio al verdadero (del estndar)Precisin: mide la reproducibilidad de la medicin (dispersin) entorno a su valor medio (no necesariamente el valor verdadero).Se controla mediante el uso de muestras duplicadas
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DefinicionesSesgo: corresponde al error con respecto al valor verdadero gran impacto econmicoProporcional al valorConstante
Precisin se mide utilizando dos desviaciones estndar de la distribucin de valores, relativo a la media:Pr=200 s/m %
Lmite de deteccin: puede definirse como el valor al cual la precisin alcanza el 100%, es decir, donde la desviacin estndar es la mitad de la media lmites centrales de confianza de 95% resultan en m2s= mm
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DefinicionesAseguramiento de calidad: procedimientos o buenas prcticas para la toma, registro, mapeo y preparacin de muestras, procedimientos de seguridad y otros que aseguren estndares preestablecidos de precisin y exactitud.Control de calidad: procedimientos tales como eleccin de laboratorio, anlisis de duplicados, duplicados de terreno, blancos, estndares, control granulomtrico, etc., que permiten controlar que los estndares en los procedimientos se mantienen en el tiempo.
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Objetivos del Control de CalidadObjetivosAsegurar representatividad de las muestras1g debe representar 3 ton de detritos de pozoCuantificar exactitud y precisin de los resultados
Los programas de control de calidad aseguran:Desempeo aceptable de operadores.Validacin de protocolos y a travs del tiempo: I.e. Cambios de heterogeneidad en profundidad pueden implicar que los protocolos deben modificarse.
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Procedimientos de Control de CalidadEtapas en la exploracin geolgicaEstablecer protocolos de preparacin de muestras:Nomograma preferido de P. Gy Etapa inicialTest de heterogeneidad Etapas avanzadasEstablecimiento de protocolos apropiadosRecomendacin de equipos apropiadosAnlisis de fracciones Impacto de segregacinExistencia de oro grueso (si es aplicable)Test de IngamellsEstablecer masa mnima para asegurar una determinada precisin en anlisis qumico
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Nomograma preferido de P. GyLneas de seguridad para distintos mineralesPermite disear protocolo de muestreo en etapas iniciales de exploracinARDDH
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Procedimiento de Control de CalidadLa preparacin de muestras se hace de acuerdo a un protocolo preestablecido que tiene un Error Fundamental aceptable.
El programa de control de calidad usualmente consiste en:
Tomar duplicados (5% = una de cada 20 muestras) en cada etapa de reduccin de masa del protocolo. Para controlar precisin.
Introducir 5% de muestras en blanco al comienzo del proceso, para evitar contaminacin de equipos.
Preparar e introducir muestras estndar en cada batch enviado a anlisis qumico para controlar exactitud.
Hacer controles peridicos de granulometra en cada etapa de conminucin.
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Protocolos de MuestreoChancador(-3 mm)Muestra AR(1 m @ 1 cm)40 kgDivisor RotatorioRechazo de terreno20 kg repetir 1 de c/20Divisor RiffleR1R2Preparacin en terrenoMuestra(1 kg)R3Muestra(250 g)Pulverizador(-150#)R4Muestra(1 g Cu50 g Au)20 kg20 kg1 kg250 gPreparacin en laboratorioqumicoPreparacin en laboratorio de preparacinde muestraRechazo grueso19 kg repetir 1 de c/20Rechazo pulpa 750 g repetir 1 de c/20Enviar a otro laboratorio
Usar muestra estndarRechazo grueso19 kg control granulomtricoControl granulomtricoIntroducir blanco 1 de c/20
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Muestra estndarPreparacin:Estimar la cantidad de estndares necesarios100.000 m de sondajeMuestras de 2 m 50.000 muestras5% de 50.000 = 2.500 muestras de 250 g (lo que se enva pulverizado al laboratorio)Total: 625 kg de material para estndaresSe requieren muestras bajas, medias y altas en ley ~210 kg de cada una.Juntar el material para cada estndarA partir de rechazos de sondajes o muestrasPreparacin del estndar:Pulverizar -150#Tamizar todo a -150 # (con esto se evita que exista oro grueso en estndar)Homogenizar rigurosamenteDividir en porciones (sobres) de 250 g usando divisores rotatorios
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Muestra estndarCalibracin mediante Round RobinEnvo de ~10 sobres a 3 o 4 laboratorios de reputacinIncluir 1 o 2 estndares internacionales (para asegurar exactitud)Ventajas de preparar estndares propios:Caractersticas mineralgicas iguales al depsitoMisma apariencia que muestras del depsito (difciles de distinguir)Mucho ms baratas que estndares internacionales
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Muestras duplicadas y blancos y control granulomtricoDuplicados:Deben ser indistinguibles para el laboratorioDifcil de controlar en laboratorios contratados comercialmente para el procedimiento completoBlancos:Asegurarse de que no contienen el elemento de intersEn lo posible, que tengan aspecto similar a las muestrasControl granulomtrico:Tamizar una de cada 20 muestras y controlar el d95 estipulado en el protocolo
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Procedimiento deControl de CalidadSi el oro es el elemento de inters:Hacer limitados anlisis a fuego en tamices metlicos, en reas seleccionadas para detectar la presencia de oro grueso, pues puede tener un gran efecto en el tamao de la muestra enviada a analizar.Duplicados deben enviarse con diferentes nmeros de muestra laboratorio no puede identificarlosDuplicados deben ser de la mena verificaciones en estril son una prdida de $Muestras primarias y duplicados debe guardarse en base de datos ordenada fcil anlisis estadstico y auditoraAnlisis estadstico al menos trimestral debe ser enviado a gerencia
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Anlisis Estadstico DuplicadosAnlisis estadstico tpico de pares de datos:Estadsticas bsicasNubes de dispersinGrficos cuantil vs cuantil (q-q plot)RegresinTest de comparacin de medias: T de StudentClculo de varianza relativa entre paresClculo del % de error relativo total Clculo de diferencia relativa absoluta entre paresSe grafica versus el porcentaje de datos, para verificar si stas estn dentro de los estndares aceptablesClculo de diferencias relativasSe grafica versus la ley media de los pares, para detectar sesgo en los diferentes rangos de leyes
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Anlisis Estadstico DuplicadosDefinicin de trminos:Ley muestra original: ALey muestra duplicada: BDiferencia entre A y B:
Varianza Relativa entre A y B
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Anlisis Estadstico Duplicados
Diferencia relativa absoluta %
Diferencia Relativa
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Anlisis Estadstico Duplicados Clculo de:Estadsticas estndar (min, max, media, varianza) para cada variable, sus diferencias y las varianzas relativas.Para obtener la varianza relativa global, se promedian las varianzas relativas entre pares y se calcula el Error Relativo Global:
Test t-Student, para detectar si hay sesgo entre A y B:
Para ms de 30 pares, si el estadstico t cae dentro del intervalo [-1.96 , +1.96], no hay sesgo global.
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Anlisis Estadstico Estndar Los siguientes estadsticos son usualmente obtenidos para las muestras estndar, para verificar si existe deriva analtica.Grficos resultados anlisis versus tiempo.Grficos de suma acumulativa versus tiempo.Asumiendo que el anlisis de muestras estndar est ordenado en el tiempo y los valores son X1, X2, X3,....., Xn, la suma acumulativa es
La constante K se puede escoger como el valor nominal estndar de la media experimental.
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Anlisis Estadstico DuplicadosRegresin lineal:y = a x + b Encontrar a y b tal que se minimiza el error cuadrtico de yi yi*
a = r (sy / sx)
b = my a mx
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Anlisis Estadstico DuplicadosGrfico cuantil a cuantil o q-q plotUn cuantil es el valor de la variable que corresponde a una frecuencia acumulada dadaprimer cuartil = cuantil 0.25segundo cuartil = mediana = cuantil 0.5tercer cuartil = cuantil 0.75se puede leer cualquier cuantil del grfico de frecuencia acumulativa
Si los datos estn pareados:Ordenar de menor a mayor cada variable independientementeGraficar pares resultantes
Q-q PlotSi todos los puntos caen en una lnea de 45, las dos distribuciones son exactamente igualesSi la lnea esta desplazada de los 45, las dos distribuciones tienen la misma forma pero diferentes mediasSi la inclinacin de la lnea no es 45, las dos distribuciones tienen diferentes varianzasSi hay un carcter no lineal en el grafico Q-Q, las distribuciones tienen diferentes formas en el histograma
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EjemploSe dispone de 132 muestras de oro de una mina en Nevada, USA, analizadas por:Anlisis a fuego estndar sobre 50 g (original y duplicado)Estadsticas bsicasSe espera:Media de diferencias cercana a 0Test t-Student entre [-1.96 , 1.96]Error relativo medio:< 5% en anlisis< 15% en duplicados terrenoCorrelacin alta ~1Pendiente ~1, intercepto ~0
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EjemploNube de dispersin
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EjemploQ-q plot
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EjemploGrfico de diferencia relativa vs % de datosSe construye:Ordenar diferencias relativas absolutas de menor a mayorContar la proporcin de datos acumulados para cada parPara rechazos gruesos:Mximo 10% de datos con diferencia relativa >20%Para anlisis duplicados:Mximo 10% de datos con diferencia relativa > 10%
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EjemploGrfico de diferencia relativa vs mediaPara leyes bajas, diferencias relativas son mayores que para leyes altasObservar si hay sesgo en distintos rangos de ley
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EjemploConclusionesError relativo medio es de 30.19%, muy superior a 5% aceptable para anlisis qumico. Se debe a la presencia de oro grueso.Coeficiente de correlacin es de 0.723, debido a dos pares de datos errticos altos.Slo 45% de los datos tienen diferencia relativa absoluta menor que 10%. A esto habra que agregar al menos el error fundamental del protocolo.
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Relacin del error con la concentracinThompson and Howarth mostraron en estudio geoqumicos que errores cambian con la concentracin del elemento de inters.Sugieren que un modelo lineal es adecuado.El mtodo considera slo errores aleatorios (precisin), no sistemticos (sesgo).El mtodo puede aplicarse a la misma variable medida en duplicados, en el mismo laboratorio.No se debe utilizar para analizar datos pareados de anlisis de distintos laboratoriosNo se debe utilizar para analizar datos pareados de anlisis de distintos tipos de muestrasSe puede adaptar para usar mltiples re-muestreos, en lugar de slo duplicados.Mnimo de 50 pares recomendado.
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Relacin del error con la concentracinPrincipios de anlisis de Thompson-Howarth:Recordar que la precisin a una concentracin c se define como:Pc = 200 * s / cRecordar que el lmite de deteccin se define como la concentracin tal que Pc = 100Considerando duplicados X1 y X2Se asume que los duplicados estn distribuidos segn un N(m,sc2)Las diferencias (X1 - X2) ~ N(0,sd2)= N(0,2sc2)
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Relacin del error con la concentracinEl mtodo permite estimar la desviacin estndar (error) de la poblacin. Tres mtodos:Directamente a partir de la desviacin estndar de las diferencias (sensible a valores extremos) sc=sd / 2Calcular la media de las diferencias absolutas md, la que se relaciona con sc segn:md = 0.798 * sd = 1.129 * scCalcular la mediana de las diferencias absolutas Md, la que se relaciona con sc segn:Md = 0.675 * sd = 0.955 * sc
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Relacin del error con la concentracinDado que el error depende de la concentracin y sta cambia de una muestra a otra, se plantea el siguiente modelo lineal:sc = s0 + k * cdonde s0 es el error a concentracin 0k es una constante c es la concentracin Por lo tanto, la precisin Pc para una concentracin c, se calcula como:PC = 200 * sc / c = 200 * (s0 / c + k)Finalmente, el lmite de deteccin resulta:PC = 100 c = 2 * s0 / (1 2k)Los coeficientes s0 y k se obtienen de la regresin entre las medias de grupos de valores (usualmente 11 pares por grupo) y las medianas de las diferencias absolutas de los mismos.
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Ejemplo T-HContinuando con el ejemplo, el procedimiento para anlisis Thompson-Howarth:Calcular la media y diferencia absoluta de cada parOrdenar en forma ascendente segn la mediaCalcular el promedio de las medias en grupos de 11 paresCalcular la mediana de las diferencias absolutas en los mismos gruposHacer regresin lineal de las medias por grupo versus las medianas de las diferencias absolutasDeterminar la pendiente y el intersecto que relacionan la concentracin con el errorCalcular y graficar la precisin para distintas concentracionesCalcular el lmite de deteccin (concentracin para una precisin = 100)
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Ejemplo T-HTabla de medias de grupos de 11 pares versus medianas de diferencias absolutas para los grupos
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Ejemplo T-HRegresin:Intersecto en regresin es negativo (lnea negra) lmite de deteccin negativoIntersecto se estima eliminando dato extremo y luego se fija para la regresin con todos los datos (lnea azul)
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Ejemplo T-HGrfico de precisinPara leyes en rangos de produccin, la precisin es mala (del orden de 50%).Esto se debe a la presencia de oro grueso.
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Anlisis Estadstico EstndaresSe fabrica una serie de estndaresSe hace un Round Robin:Enviar un cierto nmero de muestras (5 a 10) a anlisis en laboratorios de reconocidos (3 a 7)Incorporar un par de estndares internacionales en el Round Robin, para ver si los resultados del laboratorio son aberrantesSe comparan los resultados de anlisisSe eliminan laboratorios que entreguen resultados aberrantesSe calcula la media global, la varianza media de muestras por laboratorioSe determinan los lmites de confianzaSe grafica en carta de controlSe espera que 95% de los estndares controlados estn dentro de los lmites
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Anlisis Estadstico EstndaresEstadsticas de Round Robin
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Anlisis Estadstico EstndaresEstadsticas de Round Robin
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Anlisis Estadstico EstndaresRound RobinSerie de Laboratorio 2 sesgada se elimina del anlisis
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Anlisis Estadstico EstndaresRound RobinSerie de Laboratorio 2 sesgada se elimina del anlisis
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Anlisis Estadstico EstndaresCarta de Control
Grfico5
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Lab 1
Lab 3
Lab 4
Lab 5
Lab 6
Lab 7
Estndar
Promedio Total
Lm Sup
Lm Inf
Nmero de batch
Ley Au (ppm)
Carta de Control de Estndares
Hoja1
ESTANDAR MINERAL DE LEY MEDIA
Anlisis de Cobre Total
ROUND ROBIN INICIALSobre 1Sobre 2Sobre 3Sobre 4Sobre 5Sobre 6nMediaDesv. Est.VarVar Total
Lab 11.271.261.271.261.241.2761.2630.0100.000100.00086
Lab 21.221.241.211.231.241.2461.2300.0130.000170.00086
Lab 31.241.301.281.261.251.2561.2660.0220.000500.00086
Lab 41.311.311.301.301.301.3061.3080.0040.000020.00086
Lab 51.291.301.301.301.311.3161.3020.0100.000110.00086
Lab 61.311.301.291.301.311.3061.3020.0100.000110.00086
Lab 71.301.311.281.291.301.2861.2930.0140.000200.00086
Promedios1.2810.00017
ROUND ROBIN FINALSobre 1Sobre 2Sobre 3Sobre 4Sobre 5Sobre 6nMediaDesv. Est.VarVar Total
Lab 11.271.261.271.261.241.2761.2630.0100.000100.00048
Lab 31.241.301.281.261.251.2561.2660.0220.000500.00048
Lab 41.311.311.301.301.301.3061.3080.0040.000020.00048
Lab 51.291.301.301.301.311.3161.3020.0100.000110.00048
Lab 61.311.301.291.301.311.3061.3020.0100.000110.00048
Lab 71.301.311.281.291.301.2861.2930.0140.000200.00048
Promedios1.2890.00017
Promedio Total1.28895
Lm Sup (q.975)1.3147582134
Lm Inf (q.025)1.2631401199
Anlisis de Cobre Total
Anlisis de Cobre Total
Sobre 1Sobre 2Sobre 3Sobre 4Sobre 5Sobre 6
Lab 11.271.261.271.261.241.27
Lab 31.241.301.281.261.251.25
Lab 41.311.311.301.301.301.30
Lab 51.291.301.301.301.311.31
Lab 61.311.301.291.301.311.30
Lab 71.301.311.281.291.301.28
Estndar1.271.301.311.311.311.301.301.301.281.281.291.321.301.291.301.281.301.271.301.301.301.301.301.291.291.291.291.291.291.281.281.291.291.281.291.301.301.291.331.331.301.301.291.301.291.301.301.291.281.281.301.321.301.291.291.301.301.311.301.301.261.301.301.291.301.291.301.301.301.281.301.281.291.291.301.281.281.301.301.301.30
Promedio Total1.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.29
Lm Sup1.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.31
Lm Inf1.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.26
Hoja1
1.471.50166666671.53041847821.4729148551
1.511.50166666671.53041847821.4729148551
1.521.50166666671.53041847821.4729148551
1.521.50166666671.53041847821.4729148551
1.521.50166666671.53041847821.4729148551
1.511.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.511.50166666671.53041847821.4729148551
1.481.50166666671.53041847821.4729148551
1.481.50166666671.53041847821.4729148551
1.491.50166666671.53041847821.4729148551
1.521.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.491.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.481.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.471.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.511.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.511.50166666671.53041847821.4729148551
1.511.50166666671.53041847821.4729148551
1.491.50166666671.53041847821.4729148551
1.491.50166666671.53041847821.4729148551
1.491.50166666671.53041847821.4729148551
1.491.50166666671.53041847821.4729148551
1.491.50166666671.53041847821.4729148551
1.491.50166666671.53041847821.4729148551
1.481.50166666671.53041847821.4729148551
1.481.50166666671.53041847821.4729148551
1.491.50166666671.53041847821.4729148551
1.491.50166666671.53041847821.4729148551
1.481.50166666671.53041847821.4729148551
1.491.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.491.50166666671.53041847821.4729148551
1.521.50166666671.53041847821.4729148551
1.521.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.491.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.491.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.491.50166666671.53041847821.4729148551
1.481.50166666671.53041847821.4729148551
1.481.50166666671.53041847821.4729148551
1.511.50166666671.53041847821.4729148551
1.521.50166666671.53041847821.4729148551
1.511.50166666671.53041847821.4729148551
1.491.50166666671.53041847821.4729148551
1.491.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.511.50166666671.53041847821.4729148551
1.521.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.481.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.491.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.491.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.511.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.481.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.481.50166666671.53041847821.4729148551
1.491.50166666671.53041847821.4729148551
1.491.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.481.50166666671.53041847821.4729148551
1.481.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.511.50166666671.53041847821.4729148551
Anlisis de Cobre Total - LEY MEDIA
Hoja2
Lab 1
Lab 2
Lab 3
Lab 4
Lab 5
Lab 6
Lab 7
Nmero de batch
Ley Au (ppm)
Round Robin Inicial Estndares
Hoja3
Lab 1
Lab 3
Lab 4
Lab 5
Lab 6
Lab 7
Estndar
Promedio Total
Lm Sup
Lm Inf
Nmero de batch
Ley Au (ppm)
Carta de Control de Estndares
Hoja1 (2)
ESTANDAR MINERAL DE LEY MEDIA
Anlisis de Cobre Total
M.BLANCOMICHILLALab-1Lab-2Lab-3MET-1MET-2197198199200201202203204205206207208209210211212213214215216217218219220221222223224225226227228229230231232233234235236237238239240241242243244245246247248249250251252253254255256257258259260261262263264265266267268269270271272273274275276277
Sobre 11.471.451.441.521.491.521.5
Sobre 21.461.441.511.521.501.501.52
Sobre 31.471.451.481.511.501.491.48
Sobre 41.461.441.461.511.511.501.49
Sobre 51.441.451.451.511.521.521.51
Sobre 61.471.431.451.511.521.511.481.471.511.521.521.521.511.501.511.481.481.491.521.501.491.51.481.51.471.501.511.501.511.511.491.491.491.491.491.491.481.481.491.491.481.491.501.501.491.521.521.501.501.491.501.491.501.501.491.481.481.511.521.511.491.491.501.511.521.501.501.481.501.501.491.501.491.501.511.501.481.501.481.491.491.501.481.481.501.501.501.51
Frecuencia6666666
Prom.1.461.441.471.511.511.511.50
Desv0.0120.0080.0260.0050.0120.0120.016
Varianza0.0000.0000.0010.0000.0000.0000.000
Varianza Total0.0010.0010.0010.0000.0000.0000.000
Promedio Total1.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.48
Lm Sup1.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.54
Lm Inf1.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.43
Varianza Met0.000
Prom Total Met1.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.50
Lm Sup Met1.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.53
Lm Sup Met1.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.47
1.471.50166666671.53041847821.4729148551
1.511.50166666671.53041847821.4729148551
1.521.50166666671.53041847821.4729148551
1.521.50166666671.53041847821.4729148551
1.521.50166666671.53041847821.4729148551
1.511.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.511.50166666671.53041847821.4729148551
1.481.50166666671.53041847821.4729148551
1.481.50166666671.53041847821.4729148551
1.491.50166666671.53041847821.4729148551
1.521.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.491.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.481.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.471.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.511.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.511.50166666671.53041847821.4729148551
1.511.50166666671.53041847821.4729148551
1.491.50166666671.53041847821.4729148551
1.491.50166666671.53041847821.4729148551
1.491.50166666671.53041847821.4729148551
1.491.50166666671.53041847821.4729148551
1.491.50166666671.53041847821.4729148551
1.491.50166666671.53041847821.4729148551
1.481.50166666671.53041847821.4729148551
1.481.50166666671.53041847821.4729148551
1.491.50166666671.53041847821.4729148551
1.491.50166666671.53041847821.4729148551
1.481.50166666671.53041847821.4729148551
1.491.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.491.50166666671.53041847821.4729148551
1.521.50166666671.53041847821.4729148551
1.521.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.491.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.491.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.491.50166666671.53041847821.4729148551
1.481.50166666671.53041847821.4729148551
1.481.50166666671.53041847821.4729148551
1.511.50166666671.53041847821.4729148551
1.521.50166666671.53041847821.4729148551
1.511.50166666671.53041847821.4729148551
1.491.50166666671.53041847821.4729148551
1.491.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.511.50166666671.53041847821.4729148551
1.521.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.481.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.491.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.491.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.511.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.481.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.481.50166666671.53041847821.4729148551
1.491.50166666671.53041847821.4729148551
1.491.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.481.50166666671.53041847821.4729148551
1.481.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.511.50166666671.53041847821.4729148551
Anlisis de Cobre Total - LEY MEDIA
Grfico7
-0.0236605556
-0.0127571111
0.0067873333
0.0263317778
0.0458762222
0.0567796667
0.0590421111
0.0699455556
0.054926
0.0399064444
0.0335278889
0.0624803333
0.0647427778
0.0583642222
0.0606266667
0.0456071111
0.0478695556
0.024209
0.0264714444
0.0373748889
0.0396373333
0.0505407778
0.0614442222
0.0550656667
0.0486871111
0.0423085556
0.03593
0.0295514444
0.0231728889
0.0081533333
-0.0068662222
-0.0132447778
-0.0196233333
-0.0346428889
-0.0410214444
-0.038759
-0.0364965556
-0.0428751111
-0.0033306667
0.0362137778
0.0384762222
0.0407386667
0.0343601111
0.0366225556
0.030244
0.0325064444
0.0347688889
0.0283903333
0.0133707778
-0.0016487778
0.0092546667
0.0387991111
0.0497025556
0.043324
0.0369454444
0.0392078889
0.0501113333
0.0696557778
0.0719182222
0.0741806667
0.0411611111
0.0434235556
0.045686
0.0393074444
0.0415698889
0.0351913333
0.0374537778
0.0483572222
0.0506196667
0.0356001111
0.0378625556
0.022843
0.0164644444
0.0100858889
0.0123483333
-0.0026712222
-0.0176907778
-0.0154283333
-0.0131658889
-0.0109034444
0
QSUM
Nmero de batch
QSUM
Suma Acumulativa del Estndar
Hoja1
ESTANDAR MINERAL DE LEY MEDIA
Anlisis de Cobre Total
ROUND ROBIN INICIALSobre 1Sobre 2Sobre 3Sobre 4Sobre 5Sobre 6nMediaDesv. Est.VarVar Total
Lab 11.271.261.271.261.241.2761.2630.0100.000100.00086
Lab 21.221.241.211.231.241.2461.2300.0130.000170.00086
Lab 31.241.301.281.261.251.2561.2660.0220.000500.00086
Lab 41.311.311.301.301.301.3061.3080.0040.000020.00086
Lab 51.291.301.301.301.311.3161.3020.0100.000110.00086
Lab 61.311.301.291.301.311.3061.3020.0100.000110.00086
Lab 71.301.311.281.291.301.2861.2930.0140.000200.00086
Promedios1.2810.00017
ROUND ROBIN FINALSobre 1Sobre 2Sobre 3Sobre 4Sobre 5Sobre 6nMediaDesv. Est.VarVar Total
Lab 11.271.261.271.261.241.2761.2630.0100.000100.00048
Lab 31.241.301.281.261.251.2561.2660.0220.000500.00048
Lab 41.311.311.301.301.301.3061.3080.0040.000020.00048
Lab 51.291.301.301.301.311.3161.3020.0100.000110.00048
Lab 61.311.301.291.301.311.3061.3020.0100.000110.00048
Lab 71.301.311.281.291.301.2861.2930.0140.000200.00048
Promedios1.2890.00017
Promedio Total1.28895
Lm Sup (q.975)1.3147582134
Lm Inf (q.025)1.2631401199
Anlisis de Cobre Total
Anlisis de Cobre Total
Sobre 1Sobre 2Sobre 3Sobre 4Sobre 5Sobre 6
Lab 11.271.261.271.261.241.27
Lab 31.241.301.281.261.251.25
Lab 41.311.311.301.301.301.30
Lab 51.291.301.301.301.311.31
Lab 61.311.301.291.301.311.30
Lab 71.301.311.281.291.301.28
Estndar1.271.301.311.311.311.301.301.301.281.281.291.321.301.291.301.281.301.271.301.301.301.301.301.291.291.291.291.291.291.281.281.291.291.281.291.301.301.291.331.331.301.301.291.301.291.301.301.291.281.281.301.321.301.291.291.301.301.311.301.301.261.301.301.291.301.291.301.301.301.281.301.281.291.291.301.281.281.301.301.301.30
Promedio Total1.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.291.29
Lm Sup1.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.311.31
Lm Inf1.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.261.26
1.29
QSUM-0.02-0.010.010.030.050.060.060.070.050.040.030.060.060.060.060.050.050.020.030.040.040.050.060.060.050.040.040.030.020.01-0.01-0.01-0.02-0.03-0.04-0.04-0.04-0.04-0.000.040.040.040.030.040.030.030.030.030.01-0.000.010.040.050.040.040.040.050.070.070.070.040.040.050.040.040.040.040.050.050.040.040.020.020.010.01-0.00-0.02-0.02-0.01-0.010.00
Hoja1
1.471.50166666671.53041847821.4729148551
1.511.50166666671.53041847821.4729148551
1.521.50166666671.53041847821.4729148551
1.521.50166666671.53041847821.4729148551
1.521.50166666671.53041847821.4729148551
1.511.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.511.50166666671.53041847821.4729148551
1.481.50166666671.53041847821.4729148551
1.481.50166666671.53041847821.4729148551
1.491.50166666671.53041847821.4729148551
1.521.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.491.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.481.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.471.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.511.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.511.50166666671.53041847821.4729148551
1.511.50166666671.53041847821.4729148551
1.491.50166666671.53041847821.4729148551
1.491.50166666671.53041847821.4729148551
1.491.50166666671.53041847821.4729148551
1.491.50166666671.53041847821.4729148551
1.491.50166666671.53041847821.4729148551
1.491.50166666671.53041847821.4729148551
1.481.50166666671.53041847821.4729148551
1.481.50166666671.53041847821.4729148551
1.491.50166666671.53041847821.4729148551
1.491.50166666671.53041847821.4729148551
1.481.50166666671.53041847821.4729148551
1.491.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.491.50166666671.53041847821.4729148551
1.521.50166666671.53041847821.4729148551
1.521.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.491.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.491.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.491.50166666671.53041847821.4729148551
1.481.50166666671.53041847821.4729148551
1.481.50166666671.53041847821.4729148551
1.511.50166666671.53041847821.4729148551
1.521.50166666671.53041847821.4729148551
1.511.50166666671.53041847821.4729148551
1.491.50166666671.53041847821.4729148551
1.491.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.511.50166666671.53041847821.4729148551
1.521.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.481.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.491.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.491.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.511.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.481.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.481.50166666671.53041847821.4729148551
1.491.50166666671.53041847821.4729148551
1.491.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.481.50166666671.53041847821.4729148551
1.481.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.511.50166666671.53041847821.4729148551
Anlisis de Cobre Total - LEY MEDIA
Hoja2
0000000
0000000
0000000
0000000
0000000
0000000
Lab 1
Lab 2
Lab 3
Lab 4
Lab 5
Lab 6
Lab 7
Nmero de batch
Ley Au (ppm)
Round Robin Inicial Estndares
Hoja3
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
0000000000
Lab 1
Lab 3
Lab 4
Lab 5
Lab 6
Lab 7
Estndar
Promedio Total
Lm Sup
Lm Inf
Nmero de batch
Ley Au (ppm)
Carta de Control de Estndares
Hoja1 (2)
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
QSUM
Nmero de batch
QSUM
Suma Acumulativa del Estndar
ESTANDAR MINERAL DE LEY MEDIA
Anlisis de Cobre Total
M.BLANCOMICHILLALab-1Lab-2Lab-3MET-1MET-2197198199200201202203204205206207208209210211212213214215216217218219220221222223224225226227228229230231232233234235236237238239240241242243244245246247248249250251252253254255256257258259260261262263264265266267268269270271272273274275276277
Sobre 11.471.451.441.521.491.521.5
Sobre 21.461.441.511.521.501.501.52
Sobre 31.471.451.481.511.501.491.48
Sobre 41.461.441.461.511.511.501.49
Sobre 51.441.451.451.511.521.521.51
Sobre 61.471.431.451.511.521.511.481.471.511.521.521.521.511.501.511.481.481.491.521.501.491.51.481.51.471.501.511.501.511.511.491.491.491.491.491.491.481.481.491.491.481.491.501.501.491.521.521.501.501.491.501.491.501.501.491.481.481.511.521.511.491.491.501.511.521.501.501.481.501.501.491.501.491.501.511.501.481.501.481.491.491.501.481.481.501.501.501.51
Frecuencia6666666
Prom.1.461.441.471.511.511.511.50
Desv0.0120.0080.0260.0050.0120.0120.016
Varianza0.0000.0000.0010.0000.0000.0000.000
Varianza Total0.0010.0010.0010.0000.0000.0000.000
Promedio Total1.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.481.48
Lm Sup1.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.541.54
Lm Inf1.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.431.43
Varianza Met0.000
Prom Total Met1.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.501.50
Lm Sup Met1.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.531.53
Lm Sup Met1.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.471.47
1.471.50166666671.53041847821.4729148551
1.511.50166666671.53041847821.4729148551
1.521.50166666671.53041847821.4729148551
1.521.50166666671.53041847821.4729148551
1.521.50166666671.53041847821.4729148551
1.511.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.511.50166666671.53041847821.4729148551
1.481.50166666671.53041847821.4729148551
1.481.50166666671.53041847821.4729148551
1.491.50166666671.53041847821.4729148551
1.521.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.491.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.481.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.471.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.511.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.511.50166666671.53041847821.4729148551
1.511.50166666671.53041847821.4729148551
1.491.50166666671.53041847821.4729148551
1.491.50166666671.53041847821.4729148551
1.491.50166666671.53041847821.4729148551
1.491.50166666671.53041847821.4729148551
1.491.50166666671.53041847821.4729148551
1.491.50166666671.53041847821.4729148551
1.481.50166666671.53041847821.4729148551
1.481.50166666671.53041847821.4729148551
1.491.50166666671.53041847821.4729148551
1.491.50166666671.53041847821.4729148551
1.481.50166666671.53041847821.4729148551
1.491.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.491.50166666671.53041847821.4729148551
1.521.50166666671.53041847821.4729148551
1.521.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.491.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.491.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.491.50166666671.53041847821.4729148551
1.481.50166666671.53041847821.4729148551
1.481.50166666671.53041847821.4729148551
1.511.50166666671.53041847821.4729148551
1.521.50166666671.53041847821.4729148551
1.511.50166666671.53041847821.4729148551
1.491.50166666671.53041847821.4729148551
1.491.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.511.50166666671.53041847821.4729148551
1.521.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.481.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.491.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.491.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.511.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.481.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.481.50166666671.53041847821.4729148551
1.491.50166666671.53041847821.4729148551
1.491.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.481.50166666671.53041847821.4729148551
1.481.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.51.50166666671.53041847821.4729148551
1.511.50166666671.53041847821.4729148551
Anlisis de Cobre Total - LEY MEDIA
-
Anlisis Estadstico EstndaresSe recomienda usar al menos 3 estndares que cubran el rengo completo de leyes.
Graficar los valores de referencia (Round Robin) vs los valores analizados.
Calcular la pendiente que es equivalente al sesgo actual del laboratorio de anlisis.
La pendiente de 0.8955 (con intercepto = 0.0) indica un sesgo de 10.45%.
Grfico1
0.28
0.9
1.9
4.03
Analisis
Valor de Referencia (Round Robin) - CuT %
Anlisis del Estandar - CuT %
Analisis de Sesgo del Estndar
y = 0.8955xR2 = 0.9999
Hoja1
EstandarAnalisis
0.300.28
1.100.90
2.001.90
4.504.03
Hoja1
Analisis
Valor de Referencia (Round Robin) - CuT %
Anlisis del Estandar - CuT %
Analisis de Sesgo del Estndar
y = 0.8955xR2 = 0.9999
Hoja2
y = x
Hoja3
