{"id":132,"date":"2021-11-15T13:31:06","date_gmt":"2021-11-15T13:31:06","guid":{"rendered":"http:\/\/davincitextil.com\/blog\/?p=132"},"modified":"2021-12-12T12:40:04","modified_gmt":"2021-12-12T12:40:04","slug":"descripcion-de-los-indices-de-informacion-estadistica-utilizados-en-las-cartas-de-control-y-estudios-estadisticos-individuales","status":"publish","type":"post","link":"http:\/\/davincitextil.com\/blog\/descripcion-de-los-indices-de-informacion-estadistica-utilizados-en-las-cartas-de-control-y-estudios-estadisticos-individuales\/","title":{"rendered":"Descripci\u00f3n de los \u00edndices de informaci\u00f3n estad\u00edstica utilizados en las cartas de control y estudios estad\u00edsticos individuales"},"content":{"rendered":"

Descripci\u00f3n de los \u00edndices de informaci\u00f3n estad\u00edstica utilizados en
\nlas cartas de control y en los estudios estad\u00edsticos individuales I<\/h2>\n

Medidas de posici\u00f3n<\/h2>\n\n\n\n\n
\u00a0 Ma<\/strong><\/p>\n

Media aritm\u00e8tica es el cociente que se obtiene de dividir la suma de los valores de la variable por el n\u00f9mero de observaciones.<\/p>\n

Ma = (x1<\/sub> + x2<\/sub> + x3<\/sub> + x4<\/sub> +……..xn<\/sub>)\/n<\/strong><\/p>\n

Ma = (\u03a3xi<\/sub>)\/n<\/h3>\n<\/td>\n

Mp<\/strong><\/p>\n

Media aritmetica ponderada se utiliza para calcular la media aritm\u00e8tica simple agupando previamente los datos en una tabla de frecuencia.<\/p>\n

Mp = x1<\/sub>y1<\/sub> + x2<\/sub>y2<\/sub> + x3<\/sub>y3<\/sub> + x4<\/sub>y4<\/sub>……xn<\/sub>yn<\/sub>)\/n<\/strong><\/p>\n

(x) = (\u03a3xi<\/sub>ni<\/sub>)\/n <\/strong><\/td>\n<\/tr>\n

\u00a0 Me<\/strong><\/p>\n

Mediana es el valor de la variable que supera la mitad de las observaciones y a su vez es superado por la otra mitad de las observaciones.<\/p>\n

Me = (n+1)\/2<\/strong><\/td>\n

Md<\/strong><\/p>\n

La Moda es aquel valor de la variable \u00f2 del atributo que presenta la mayor frecuencia.<\/p>\n

\u00a0No existe f\u00f2rmula<\/strong><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Medidas de dispersi\u00f2n<\/h2>\n\n\n\n\n\n
\u00a0 R<\/strong><\/p>\n

El Rango es la diferencia entre el valor m\u00e0ximo y el valor m\u00ecnimo.<\/p>\n

R = nm\u00e0ximo<\/sub> \u2013 nm\u00ecnimo<\/sub><\/strong><\/td>\n

s<\/strong>2<\/sup><\/p>\n

La varianza es la media aritm\u00e8tica de los cuadrados de las desviaciones respeco a la media aritm\u00e8tica.<\/p>\n

s2<\/sup> = \u03a3(xi \u2013 <\/sub>(x))2) <\/sup>)\u00ad\/n<\/strong><\/td>\n<\/tr>\n

\u03c3<\/strong><\/p>\n

La desviaci\u00f2n est\u00e0ndar \u00f2 t\u00ecpica es la raiz cuadrada de la varianza.<\/p>\n

\u03c3 = Raiz(s2 <\/sup>)<\/strong><\/td>\n

Cv<\/strong><\/p>\n

El coeficiente de variaci\u00f2n es el resultado de dividir la desviaci\u00f2n est\u00e0ndar por su media aritm\u00e8tica, expresando el resultado en t\u00e8rminos porcentuales.<\/p>\n

Cv = s2<\/sup>\/(x)<\/strong><\/td>\n<\/tr>\n

Da<\/strong><\/p>\n

La desviaci\u00f2n media es la media aritm\u00e8tica de las desviaciones respecto a la media, tomadas en valor absoluto.<\/p>\n

Da = \u03a3(xi \u2013 <\/sub>(x))\/n<\/strong><\/td>\n

g2<\/sub><\/strong><\/p>\n

La curtosis es la medida de altura de la curva y est\u00e0 dada por el cuarto momento respecto a la media, dividida por la varianza elevada al cuadrado.<\/p>\n

g2<\/sub> = m4<\/sub>\u00ad\/(s2<\/sup>)2<\/sup> = m4<\/sub>\u00ad\/s4<\/sup><\/strong><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Descripci\u00f3n de los \u00edndices de informaci\u00f3n estad\u00edstica utilizados en
\nlas cartas de control y en los estudios estad\u00edsticos individuales II<\/h2>\n\n\n\n\n\n\n
\u00a0 Cp<\/strong><\/p>\n

\u00cdndice de capacidad y habilidad del proceso calculado a partir de la desviaci\u00f3n est\u00e1ndar estimada.<\/p>\n

Cp = Tolerancia\/Sigma estimada<\/strong><\/p>\n

Sigma estimada = Rango medio \/ d2 <\/strong><\/p>\n

donde d2 es el factor de Tipett para el tama\u00f1o de subgrupo de la carta de control.<\/td>\n

Cpk<\/strong><\/p>\n

\u00cdndice de capacidad y habilidad del proceso calculado a partir de la desviaci\u00f3n est\u00e1ndar normalizada m\u00ednima cuando se calcula para ambos l\u00edmites en una condici\u00f3n de l\u00edmites sim\u00e9tricos<\/p>\n

Cpk = Zmin\/3<\/strong><\/p>\n

Este \u00edndice toma en cuenta la posici\u00f3n de la distribuci\u00f3n de los datos con respecto a los l\u00edmites de especificaci\u00f3n y determina la posici\u00f3n cr\u00edtica de la distribuci\u00f3n con respecto a los l\u00edmites de especificaciones.<\/td>\n<\/tr>\n

Pp<\/strong><\/p>\n

\u00cdndice de capacidad y habilidad del proceso potencial de desempe\u00f1o. Se calcula de la siguiente manera:<\/p>\n

Pp = Tolerancia \/ 6 x Sigma<\/strong><\/td>\n

Ppk<\/strong><\/p>\n

\u00cdndice de capacidad y habilidad del proceso potencial para la desviaci\u00f3n est\u00e1ndar normalizada m\u00ednima calculado a partir de Sigma estimada:<\/p>\n

\u00a0Ppk = Z min estimada \/ 3<\/strong><\/td>\n<\/tr>\n

CR y PR<\/strong><\/p>\n

Son las Razones de Capacidad y Habilidad del proceso respectivamente, siendo los valores inversos de Cp y Pp:<\/p>\n

CR = 1\/Cp\u00a0\u00a0\u00a0\u00a0 PR = 1\/Pp<\/strong>
\n\u00a0\u00a0<\/strong><\/td>\n

ZLSE<\/sub> y ZLIE<\/sub><\/strong><\/p>\n

Son las desviaciones est\u00e1ndar normalizadas calculadas a partir de la Sigma calculada de los datos individuales:<\/p>\n

Z = |Lim – Media de proceso \/ Sigma<\/strong>
\n\u00a0\u00a0<\/strong><\/td>\n<\/tr>\n

CPS<\/strong><\/p>\n

\u00cdndice de capacidad y habilidad del proceso calculado a partir del l\u00edmite superior de especificaciones y la sigma estimada<\/p>\n

CPS = (L.S.E. \u2013 Ma) \/ (6 x Sigma estimada)<\/strong><\/td>\n

CPI<\/strong><\/p>\n

\u00cdndice de capacidad y habilidad del proceso calculado a partir del l\u00edmite Inferior de especificaciones y la sigma estimada:<\/p>\n

CPI = (Ma \u2013 L.I.E.) \/ (6 x Sigma estimada)<\/strong><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Grafico de Control por Atributos<\/h2>\n

Descripci\u00f3n de los \u00edndices de informaci\u00f3n estad\u00edstica utilizados en
\nlos gr\u00e1ficos de control x – R<\/h2>\n\n\n\n\n\n
\u00a0 R<\/strong><\/p>\n

El Rango es la diferencia entre el valor m\u00e0ximo y el valor m\u00ecnimo.<\/p>\n

R = nm\u00e0ximo<\/sub> \u2013 nm\u00ecnimo<\/sub><\/strong><\/td>\n

s<\/strong>2<\/sup><\/p>\n

La varianza es la media aritm\u00e8tica de los cuadrados de las desviaciones respeco a la media aritm\u00e8tica.<\/p>\n

s2<\/sup> = \u03a3(xi \u2013 <\/sub>(x))2) <\/sup>)\u00ad\/n<\/strong><\/td>\n<\/tr>\n

\u03c3<\/strong><\/p>\n

La desviaci\u00f2n est\u00e0ndar \u00f2 t\u00ecpica es la raiz cuadrada de la varianza.<\/p>\n

\u03c3 = Raiz(s2 <\/sup>)<\/strong><\/td>\n

Cv<\/strong><\/p>\n

El coeficiente de variaci\u00f2n es el resultado de dividir la desviaci\u00f2n est\u00e0ndar por su media aritm\u00e8tica, expresando el resultado en t\u00e8rminos porcentuales.<\/p>\n

Cv = s2<\/sup>\/(x)<\/strong><\/td>\n<\/tr>\n

Da<\/strong><\/p>\n

La desviaci\u00f2n media es la media aritm\u00e8tica de las desviaciones respecto a la media, tomadas en valor absoluto.<\/p>\n

Da = \u03a3(xi \u2013 <\/sub>(x))\/n<\/strong><\/td>\n

g2<\/sub><\/strong><\/p>\n

La curtosis es la medida de altura de la curva y est\u00e0 dada por el cuarto momento respecto a la media, dividida por la varianza elevada al cuadrado.<\/p>\n

g2<\/sub> = m4<\/sub>\u00ad\/(s2<\/sup>)2<\/sup> = m4<\/sub>\u00ad\/s4<\/sup><\/strong><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Factores Gr\u00e1ficos x – R<\/h2>\n

Estimaci\u00f3n de \u03c3 a partir de (R) \u00f2 \u03c3<\/strong><\/p>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
n<\/td>\nFactor<\/td>\nFactor<\/td>\n<\/tr>\n
para estimar a<\/td>\npara estimar a<\/td>\n<\/tr>\n
partir de (R)<\/td>\npartir de (\u03c3)<\/td>\n<\/tr>\n
d2 = (R)\/\u03c3<\/td>\nc2 = (\u03c3)\/\u03c3<\/td>\n<\/tr>\n
2<\/td>\n1,128<\/td>\n0,5642<\/td>\n<\/tr>\n
3<\/td>\n1,693<\/td>\n0,7236<\/td>\n<\/tr>\n
4<\/td>\n2,059<\/td>\n0,7979<\/td>\n<\/tr>\n
5<\/td>\n2,326<\/td>\n0,8407<\/td>\n<\/tr>\n
6<\/td>\n2,534<\/td>\n0,8686<\/td>\n<\/tr>\n
7<\/td>\n2,704<\/td>\n0,8882<\/td>\n<\/tr>\n
8<\/td>\n2,847<\/td>\n0,9027<\/td>\n<\/tr>\n
9<\/td>\n2,970<\/td>\n0,9139<\/td>\n<\/tr>\n
10<\/td>\n3,078<\/td>\n0,9227<\/td>\n<\/tr>\n
11<\/td>\n3,173<\/td>\n0,9300<\/td>\n<\/tr>\n
12<\/td>\n3,258<\/td>\n0,9359<\/td>\n<\/tr>\n
13<\/td>\n3,336<\/td>\n0,9410<\/td>\n<\/tr>\n
14<\/td>\n3,407<\/td>\n0,9453<\/td>\n<\/tr>\n
15<\/td>\n3,472<\/td>\n0,9490<\/td>\n<\/tr>\n
16<\/td>\n3,532<\/td>\n0,9523<\/td>\n<\/tr>\n
17<\/td>\n3,588<\/td>\n0,9551<\/td>\n<\/tr>\n
18<\/td>\n3,640<\/td>\n0,9576<\/td>\n<\/tr>\n
19<\/td>\n3,689<\/td>\n0,9599<\/td>\n<\/tr>\n
20<\/td>\n3,735<\/td>\n0,9619<\/td>\n<\/tr>\n
21<\/td>\n3,778<\/td>\n0,9638<\/td>\n<\/tr>\n
22<\/td>\n3,819<\/td>\n0,9655<\/td>\n<\/tr>\n
23<\/td>\n3,895<\/td>\n0,9670<\/td>\n<\/tr>\n
24<\/td>\n3,895<\/td>\n0,9684<\/td>\n<\/tr>\n
25<\/td>\n3,931<\/td>\n0,9696<\/td>\n<\/tr>\n
30<\/td>\n4,086<\/td>\n0,9748<\/td>\n<\/tr>\n
35<\/td>\n4,213<\/td>\n0,9811<\/td>\n<\/tr>\n
40<\/td>\n4,220<\/td>\n0,9811<\/td>\n<\/tr>\n
45<\/td>\n4,415<\/td>\n0,9832<\/td>\n<\/tr>\n
50<\/td>\n4,498<\/td>\n0,9849<\/td>\n<\/tr>\n
55<\/td>\n4,572<\/td>\n0,9863<\/td>\n<\/tr>\n
60<\/td>\n4,639<\/td>\n0,9874<\/td>\n<\/tr>\n
65<\/td>\n4,699<\/td>\n0,9884<\/td>\n<\/tr>\n
70<\/td>\n4,755<\/td>\n0,9892<\/td>\n<\/tr>\n
75<\/td>\n4,806<\/td>\n0,9900<\/td>\n<\/tr>\n
80<\/td>\n4,854<\/td>\n0,9906<\/td>\n<\/tr>\n
85<\/td>\n4,898<\/td>\n0,9912<\/td>\n<\/tr>\n
90<\/td>\n4,939<\/td>\n0,9916<\/td>\n<\/tr>\n
95<\/td>\n4,978<\/td>\n0,9921<\/td>\n<\/tr>\n
100<\/td>\n5,015<\/td>\n0,9925<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Factores para determinar los L\u00edmites de Control de 3 \u03c3 a partir de R para gr\u00e1ficas x – R<\/strong><\/p>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
n<\/td>\nFactor<\/td>\nFactores<\/td>\n<\/tr>\n
Gr\u00e1fica x<\/td>\nGr\u00e1fica R<\/td>\n<\/tr>\n
A2<\/td>\nL.I.C.<\/td>\nL.S.C.<\/td>\n<\/tr>\n
D3<\/td>\nD4<\/td>\n<\/tr>\n
2<\/td>\n1,880<\/td>\n0,000<\/td>\n3,270<\/td>\n<\/tr>\n
3<\/td>\n1,020<\/td>\n0,000<\/td>\n2,570<\/td>\n<\/tr>\n
4<\/td>\n0,730<\/td>\n0,000<\/td>\n2,280<\/td>\n<\/tr>\n
5<\/td>\n0,580<\/td>\n0,000<\/td>\n2,110<\/td>\n<\/tr>\n
6<\/td>\n0,480<\/td>\n0,000<\/td>\n2,000<\/td>\n<\/tr>\n
7<\/td>\n0,420<\/td>\n0,080<\/td>\n1,920<\/td>\n<\/tr>\n
8<\/td>\n0,370<\/td>\n0,140<\/td>\n1,860<\/td>\n<\/tr>\n
9<\/td>\n0,340<\/td>\n0,180<\/td>\n1,820<\/td>\n<\/tr>\n
10<\/td>\n0,310<\/td>\n0,220<\/td>\n1,780<\/td>\n<\/tr>\n
11<\/td>\n0,290<\/td>\n0,260<\/td>\n1,740<\/td>\n<\/tr>\n
12<\/td>\n0,270<\/td>\n0,280<\/td>\n1,720<\/td>\n<\/tr>\n
13<\/td>\n0,250<\/td>\n0,310<\/td>\n1,690<\/td>\n<\/tr>\n
14<\/td>\n0,240<\/td>\n0,330<\/td>\n1,670<\/td>\n<\/tr>\n
15<\/td>\n0,220<\/td>\n0,350<\/td>\n1,650<\/td>\n<\/tr>\n
16<\/td>\n0,210<\/td>\n0,360<\/td>\n1,640<\/td>\n<\/tr>\n
17<\/td>\n0,200<\/td>\n0,380<\/td>\n1,620<\/td>\n<\/tr>\n
18<\/td>\n0,190<\/td>\n0,390<\/td>\n1,610<\/td>\n<\/tr>\n
19<\/td>\n0,185<\/td>\n0,400<\/td>\n1,600<\/td>\n<\/tr>\n
20<\/td>\n0,180<\/td>\n0,410<\/td>\n1,590<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Factores para determinar los L\u00edmites de Control de 3 \u03c3 a partir de \u03c3 para gr\u00e1ficas x – \u03c3<\/strong><\/p>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
n<\/td>\nFactor<\/p>\n

Gr\u00e1fica x<\/td>\n

Factores<\/p>\n

Gr\u00e1fica \u03c3<\/td>\n<\/tr>\n

A1<\/td>\nL.I.C.<\/td>\nL.S.C.<\/td>\n<\/tr>\n
B3<\/td>\nB4<\/td>\n<\/tr>\n
2<\/td>\n3,760<\/td>\n0,000<\/td>\n3,270<\/td>\n<\/tr>\n
3<\/td>\n2,390<\/td>\n0,000<\/td>\n2,570<\/td>\n<\/tr>\n
4<\/td>\n1,880<\/td>\n0,000<\/td>\n2,270<\/td>\n<\/tr>\n
5<\/td>\n1,600<\/td>\n0,000<\/td>\n2,090<\/td>\n<\/tr>\n
6<\/td>\n1,410<\/td>\n0,030<\/td>\n1,970<\/td>\n<\/tr>\n
7<\/td>\n1,280<\/td>\n0,120<\/td>\n1,880<\/td>\n<\/tr>\n
8<\/td>\n1,170<\/td>\n0,190<\/td>\n1,810<\/td>\n<\/tr>\n
9<\/td>\n1,090<\/td>\n0,240<\/td>\n1,760<\/td>\n<\/tr>\n
10<\/td>\n1,030<\/td>\n0,280<\/td>\n1,720<\/td>\n<\/tr>\n
11<\/td>\n0,970<\/td>\n0,320<\/td>\n1,680<\/td>\n<\/tr>\n
12<\/td>\n0,930<\/td>\n0,350<\/td>\n1,650<\/td>\n<\/tr>\n
13<\/td>\n0,880<\/td>\n0,380<\/td>\n1,620<\/td>\n<\/tr>\n
14<\/td>\n0,850<\/td>\n0,410<\/td>\n1,590<\/td>\n<\/tr>\n
15<\/td>\n0,820<\/td>\n0,430<\/td>\n1,570<\/td>\n<\/tr>\n
16<\/td>\n0,790<\/td>\n0,450<\/td>\n1,550<\/td>\n<\/tr>\n
17<\/td>\n0,760<\/td>\n0,470<\/td>\n1,530<\/td>\n<\/tr>\n
18<\/td>\n0,740<\/td>\n0,485<\/td>\n1,520<\/td>\n<\/tr>\n
19<\/td>\n0,720<\/td>\n0,500<\/td>\n1,500<\/td>\n<\/tr>\n
20<\/td>\n0,700<\/td>\n0,510<\/td>\n1,490<\/td>\n<\/tr>\n
21<\/td>\n0,680<\/td>\n0,520<\/td>\n1,480<\/td>\n<\/tr>\n
22<\/td>\n0,660<\/td>\n0,530<\/td>\n1,470<\/td>\n<\/tr>\n
23<\/td>\n0,650<\/td>\n0,540<\/td>\n1,460<\/td>\n<\/tr>\n
24<\/td>\n0,630<\/td>\n0,550<\/td>\n1,450<\/td>\n<\/tr>\n
25<\/td>\n0,62<\/td>\n0,560<\/td>\n1,440<\/td>\n<\/tr>\n
30<\/td>\n0,56<\/td>\n0,600<\/td>\n1,400<\/td>\n<\/tr>\n
35<\/td>\n0,52<\/td>\n0,630<\/td>\n1,370<\/td>\n<\/tr>\n
40<\/td>\n0,48<\/td>\n0,660<\/td>\n1,340<\/td>\n<\/tr>\n
45<\/td>\n0,45<\/td>\n0,680<\/td>\n1,320<\/td>\n<\/tr>\n
50<\/td>\n0,43<\/td>\n0,700<\/td>\n1,300<\/td>\n<\/tr>\n
55<\/td>\n0,41<\/td>\n0,710<\/td>\n1,290<\/td>\n<\/tr>\n
60<\/td>\n0,39<\/td>\n0,720<\/td>\n1,280<\/td>\n<\/tr>\n
65<\/td>\n0,38<\/td>\n0,730<\/td>\n1,270<\/td>\n<\/tr>\n
70<\/td>\n0,36<\/td>\n0,740<\/td>\n1,260<\/td>\n<\/tr>\n
75<\/td>\n0,35<\/td>\n0,750<\/td>\n1,250<\/td>\n<\/tr>\n
80<\/td>\n0,34<\/td>\n0,760<\/td>\n1,240<\/td>\n<\/tr>\n
85<\/td>\n0,33<\/td>\n0,770<\/td>\n1,230<\/td>\n<\/tr>\n
90<\/td>\n0,32<\/td>\n0,775<\/td>\n1,255<\/td>\n<\/tr>\n
95<\/td>\n0,31<\/td>\n0,780<\/td>\n1,220<\/td>\n<\/tr>\n
100<\/td>\n0,30<\/td>\n0,790<\/td>\n1,210<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Factores para determinar los L\u00edmites de Control de 3 \u03c3 a partir de \u03c3 para gr\u00e1ficas x \u2013 R y \u03c3<\/strong><\/p>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
n<\/td>\nFactor<\/p>\n

Gr\u00e1fica x<\/td>\n

Factores<\/p>\n

Gr\u00e1fica R<\/td>\n

Factores<\/p>\n

Gr\u00e1fica \u03c3<\/td>\n<\/tr>\n

A<\/td>\nL.I.C.<\/td>\nL.S.C.<\/td>\nL.I.C.<\/td>\nL.S.C.<\/td>\n<\/tr>\n
D1<\/td>\nD2<\/td>\nB1<\/td>\nB2<\/td>\n<\/tr>\n
2<\/td>\n2,120<\/td>\n0,000<\/td>\n3,690<\/td>\n0,000<\/td>\n1,840<\/td>\n<\/tr>\n
3<\/td>\n1,730<\/td>\n0,000<\/td>\n4,360<\/td>\n0,000<\/td>\n0,825<\/td>\n<\/tr>\n
4<\/td>\n1,500<\/td>\n0,000<\/td>\n4,700<\/td>\n0,000<\/td>\n1,810<\/td>\n<\/tr>\n
5<\/td>\n1,340<\/td>\n0,000<\/td>\n4,920<\/td>\n0,000<\/td>\n1,760<\/td>\n<\/tr>\n
6<\/td>\n1,220<\/td>\n0,200<\/td>\n5,080<\/td>\n0,030<\/td>\n1,710<\/td>\n<\/tr>\n
7<\/td>\n1,130<\/td>\n0,390<\/td>\n5,200<\/td>\n0,100<\/td>\n1,670<\/td>\n<\/tr>\n
8<\/td>\n1,060<\/td>\n0,550<\/td>\n5,310<\/td>\n0,170<\/td>\n1,640<\/td>\n<\/tr>\n
9<\/td>\n1,000<\/td>\n0,690<\/td>\n5,390<\/td>\n0,220<\/td>\n1,610<\/td>\n<\/tr>\n
10<\/td>\n0,950<\/td>\n0,810<\/td>\n5,470<\/td>\n0,260<\/td>\n1,580<\/td>\n<\/tr>\n
11<\/td>\n0,900<\/td>\n0,920<\/td>\n5,530<\/td>\n0,300<\/td>\n1,560<\/td>\n<\/tr>\n
12<\/td>\n0,870<\/td>\n1,030<\/td>\n5,590<\/td>\n0,330<\/td>\n1,540<\/td>\n<\/tr>\n
13<\/td>\n0,830<\/td>\n1,120<\/td>\n5,650<\/td>\n0,360<\/td>\n1,520<\/td>\n<\/tr>\n
14<\/td>\n0,800<\/td>\n1,210<\/td>\n5,740<\/td>\n0,375<\/td>\n1,510<\/td>\n<\/tr>\n
15<\/td>\n0,770<\/td>\n1,280<\/td>\n5,780<\/td>\n0,410<\/td>\n1,490<\/td>\n<\/tr>\n
16<\/td>\n0,750<\/td>\n1,360<\/td>\n5,820<\/td>\n0,425<\/td>\n1,480<\/td>\n<\/tr>\n
17<\/td>\n0,730<\/td>\n1,430<\/td>\n5,850<\/td>\n0,440<\/td>\n1,465<\/td>\n<\/tr>\n
18<\/td>\n0,710<\/td>\n1,490<\/td>\n5,890<\/td>\n0,455<\/td>\n1,450<\/td>\n<\/tr>\n
19<\/td>\n0,690<\/td>\n1,550<\/td>\n5,920<\/td>\n0,480<\/td>\n1,440<\/td>\n<\/tr>\n
20<\/td>\n0,670<\/td>\n<\/td>\n<\/td>\n0,490<\/td>\n1,430<\/td>\n<\/tr>\n
21<\/td>\n0,650<\/td>\n<\/td>\n<\/td>\n0,500<\/td>\n1,420<\/td>\n<\/tr>\n
22<\/td>\n0,640<\/td>\n<\/td>\n<\/td>\n0,520<\/td>\n1,410<\/td>\n<\/tr>\n
23<\/td>\n0,630<\/td>\n<\/td>\n<\/td>\n0,530<\/td>\n1,405<\/td>\n<\/tr>\n
24<\/td>\n0,610<\/td>\n<\/td>\n<\/td>\n0,540<\/td>\n1,400<\/td>\n<\/tr>\n
25<\/td>\n0,600<\/td>\n<\/td>\n<\/td>\n0,550<\/td>\n1,390<\/td>\n<\/tr>\n
30<\/td>\n0,550<\/td>\n<\/td>\n<\/td>\n0,590<\/td>\n1,360<\/td>\n<\/tr>\n
35<\/td>\n0,510<\/td>\n<\/td>\n<\/td>\n0,620<\/td>\n1,330<\/td>\n<\/tr>\n
40<\/td>\n0,470<\/td>\n<\/td>\n<\/td>\n0,650<\/td>\n1,310<\/td>\n<\/tr>\n
45<\/td>\n0,450<\/td>\n<\/td>\n<\/td>\n0,670<\/td>\n1,300<\/td>\n<\/tr>\n
50<\/td>\n0,420<\/td>\n<\/td>\n<\/td>\n0,680<\/td>\n1,280<\/td>\n<\/tr>\n
55<\/td>\n0,400<\/td>\n<\/td>\n<\/td>\n0,700<\/td>\n1,270<\/td>\n<\/tr>\n
60<\/td>\n0,390<\/td>\n<\/td>\n<\/td>\n0,710<\/td>\n1,260<\/td>\n<\/tr>\n
65<\/td>\n0,370<\/td>\n<\/td>\n<\/td>\n0,725<\/td>\n1,250<\/td>\n<\/tr>\n
70<\/td>\n0,360<\/td>\n<\/td>\n<\/td>\n0,740<\/td>\n1,240<\/td>\n<\/tr>\n
75<\/td>\n0,350<\/td>\n<\/td>\n<\/td>\n0,750<\/td>\n1,230<\/td>\n<\/tr>\n
80<\/td>\n0,340<\/td>\n<\/td>\n<\/td>\n0,755<\/td>\n1,225<\/td>\n<\/tr>\n
85<\/td>\n0,330<\/td>\n<\/td>\n<\/td>\n0,760<\/td>\n1,220<\/td>\n<\/tr>\n
90<\/td>\n0,320<\/td>\n<\/td>\n<\/td>\n0,770<\/td>\n1,215<\/td>\n<\/tr>\n
95<\/td>\n0,310<\/td>\n<\/td>\n<\/td>\n0,775<\/td>\n1,210<\/td>\n<\/tr>\n
100<\/td>\n0,300<\/td>\n<\/td>\n<\/td>\n0,780<\/td>\n1,200<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

\u00c1rea bajo la curva normal tipificada de 0 a Z<\/strong><\/p>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
t<\/td>\n0<\/td>\n1<\/strong><\/td>\n2<\/td>\n3<\/td>\n4<\/td>\n5<\/td>\n6<\/td>\n7<\/td>\n8<\/td>\n9<\/strong><\/td>\n<\/tr>\n
0,0<\/td>\n0,0000<\/td>\n0,0040<\/td>\n0,0080<\/td>\n0,0120<\/td>\n0,0160<\/td>\n0,0199<\/td>\n0,0239<\/td>\n0,0279<\/td>\n0,0319<\/td>\n0,0359<\/td>\n<\/tr>\n
0,1<\/td>\n0,0398<\/td>\n0,0438<\/td>\n0,0478<\/td>\n0,0517<\/td>\n0,0557<\/td>\n0,0596<\/td>\n0,0636<\/td>\n0,0675<\/td>\n0,0714<\/td>\n0,0754<\/td>\n<\/tr>\n
0,2<\/td>\n0,0793<\/td>\n0,0832<\/td>\n0,0871<\/td>\n0,0910<\/td>\n0,0948<\/td>\n0,0987<\/td>\n0,1026<\/td>\n0,1064<\/td>\n0,1103<\/td>\n0,1141<\/td>\n<\/tr>\n
0,3<\/strong><\/td>\n0,1179<\/td>\n0,1217<\/strong><\/td>\n0,1255<\/td>\n0,1293<\/td>\n0,1331<\/td>\n0,1368<\/td>\n0,1406<\/td>\n0,1443<\/td>\n0,1480<\/td>\n0,1570<\/td>\n<\/tr>\n
0,4<\/td>\n0,1554<\/td>\n0,1591<\/td>\n0,1628<\/td>\n0,1664<\/td>\n0,1700<\/td>\n0,1736<\/td>\n0,1772<\/td>\n0,1808<\/td>\n0,1844<\/td>\n0,1879<\/td>\n<\/tr>\n
0,5<\/td>\n0,1915<\/td>\n0,1950<\/td>\n0,1985<\/td>\n0,2019<\/td>\n0,2054<\/td>\n0,2088<\/td>\n0,2123<\/td>\n0,2157<\/td>\n0,2190<\/td>\n0,2224<\/td>\n<\/tr>\n
0,6<\/td>\n0,2258<\/td>\n0,2291<\/td>\n0,2324<\/td>\n0,2357<\/td>\n0,2389<\/td>\n0,2422<\/td>\n0,2454<\/td>\n0,2486<\/td>\n0,2518<\/td>\n0,2549<\/td>\n<\/tr>\n
0,7<\/td>\n0,2580<\/td>\n0,2612<\/td>\n0,2642<\/td>\n0,2673<\/td>\n0,2704<\/td>\n0,2734<\/td>\n0,2764<\/td>\n0,2794<\/td>\n0,2823<\/td>\n0,2852<\/td>\n<\/tr>\n
0,8<\/td>\n0,2881<\/td>\n0,2910<\/td>\n0,2939<\/td>\n0,2967<\/td>\n0,2996<\/td>\n0,3023<\/td>\n0,3051<\/td>\n0,3078<\/td>\n0,3106<\/td>\n0,3133<\/td>\n<\/tr>\n
0,9<\/td>\n0,3159<\/td>\n0,3186<\/td>\n0,3212<\/td>\n0,3238<\/td>\n0,3264<\/td>\n0,3289<\/td>\n0,3315<\/td>\n0,3340<\/td>\n0,3365<\/td>\n0,3389<\/td>\n<\/tr>\n
1,0<\/strong><\/td>\n0,3413<\/td>\n0,3438<\/td>\n0,3461<\/td>\n0,3485<\/td>\n0,3508<\/td>\n0,3511<\/td>\n0,3554<\/td>\n0,3577<\/td>\n0,3599<\/td>\n0,3621<\/strong><\/td>\n<\/tr>\n
1,1<\/td>\n0,3643<\/td>\n0,3665<\/td>\n0,3860<\/td>\n0,3708<\/td>\n0,3729<\/td>\n0,3749<\/td>\n0,3770<\/td>\n0,3790<\/td>\n0,3810<\/td>\n0,3830<\/td>\n<\/tr>\n
1,2<\/td>\n0,3849<\/td>\n0,3869<\/td>\n0,3888<\/td>\n0,3907<\/td>\n0,3925<\/td>\n0,3944<\/td>\n0,3962<\/td>\n0,3980<\/td>\n0,3997<\/td>\n0,4015<\/td>\n<\/tr>\n
1,3<\/td>\n0,4032<\/td>\n0,4049<\/td>\n0,4066<\/td>\n0,4082<\/td>\n0,4099<\/td>\n0,4115<\/td>\n0,4131<\/td>\n0,4147<\/td>\n0,4162<\/td>\n0,4177<\/td>\n<\/tr>\n
1,4<\/td>\n0,4192<\/td>\n0,4207<\/td>\n0,4222<\/td>\n0,4236<\/td>\n0,4251<\/td>\n0,4265<\/td>\n0,4279<\/td>\n0,4292<\/td>\n0,4306<\/td>\n0,4319<\/td>\n<\/tr>\n
1,5<\/td>\n0,4332<\/td>\n0,4345<\/td>\n0,4357<\/td>\n0,4370<\/td>\n0,4382<\/td>\n0,4394<\/td>\n0,4406<\/td>\n0,4418<\/td>\n0,4429<\/td>\n0,4441<\/td>\n<\/tr>\n
1,6<\/td>\n0,4452<\/td>\n0,4463<\/td>\n0,4474<\/td>\n0,4484<\/td>\n0,4495<\/td>\n0,4505<\/td>\n0,4515<\/td>\n0,4525<\/td>\n0,4535<\/td>\n0,4545<\/td>\n<\/tr>\n
1,7<\/td>\n0,4554<\/td>\n0,4564<\/td>\n0,4573<\/td>\n0,4582<\/td>\n0,4591<\/td>\n0,4599<\/td>\n0,4608<\/td>\n0,4616<\/td>\n0,4625<\/td>\n0,4633<\/td>\n<\/tr>\n
1,8<\/td>\n0,4641<\/td>\n0,4649<\/td>\n0,4656<\/td>\n0,4664<\/td>\n0,4671<\/td>\n0,4678<\/td>\n0,4686<\/td>\n0,4693<\/td>\n0,4699<\/td>\n0,4706<\/td>\n<\/tr>\n
1,9<\/td>\n0,4713<\/td>\n0,4719<\/td>\n0,4726<\/td>\n0,4732<\/td>\n0,4738<\/td>\n0,4744<\/td>\n0,4750<\/td>\n0,4756<\/td>\n0,4761<\/td>\n0,4767<\/td>\n<\/tr>\n
2,0<\/td>\n0,4772<\/td>\n0,4778<\/td>\n0,4783<\/td>\n0,4788<\/td>\n0,4793<\/td>\n0,4798<\/td>\n0,4803<\/td>\n0,4808<\/td>\n0,4812<\/td>\n0,4817<\/td>\n<\/tr>\n
2,1<\/td>\n0,4821<\/td>\n0,4826<\/td>\n0,4830<\/td>\n0,4834<\/td>\n0,4838<\/td>\n0,4843<\/td>\n0,4846<\/td>\n0,4850<\/td>\n0,4854<\/td>\n0,4857<\/td>\n<\/tr>\n
2,2<\/td>\n0,4861<\/td>\n0,4864<\/td>\n0,4868<\/td>\n0,4871<\/td>\n0,4875<\/td>\n0,4878<\/td>\n0,4881<\/td>\n0,4884<\/td>\n0,4887<\/td>\n0,4890<\/td>\n<\/tr>\n
2,3<\/td>\n0,4893<\/td>\n0,4896<\/td>\n0,4898<\/td>\n0,4901<\/td>\n0,4904<\/td>\n0,4906<\/td>\n0,4909<\/td>\n0,4911<\/td>\n0,4913<\/td>\n0,4916<\/td>\n<\/tr>\n
2,4<\/td>\n0,4918<\/td>\n0,4920<\/td>\n0,4922<\/td>\n0,4925<\/td>\n0,4927<\/td>\n0,4929<\/td>\n0,4931<\/td>\n0,4932<\/td>\n0,4934<\/td>\n0,4936<\/td>\n<\/tr>\n
2,5<\/td>\n0,4938<\/td>\n0,4940<\/td>\n0,4941<\/td>\n0,4943<\/td>\n0,4945<\/td>\n0,4946<\/td>\n0,4948<\/td>\n0,4949<\/td>\n0,4951<\/td>\n0,4952<\/td>\n<\/tr>\n
2,6<\/td>\n0,4953<\/td>\n0,4955<\/td>\n0,4956<\/td>\n0,4957<\/td>\n0,4959<\/td>\n0,4960<\/td>\n0,4961<\/td>\n0,4962<\/td>\n0,4963<\/td>\n0,4964<\/td>\n<\/tr>\n
2,7<\/td>\n0,4965<\/td>\n0,4966<\/td>\n0,4967<\/td>\n0,4968<\/td>\n0,4969<\/td>\n0,4970<\/td>\n0,4971<\/td>\n0,4972<\/td>\n0,4973<\/td>\n0,4974<\/td>\n<\/tr>\n
2,8<\/td>\n0,4974<\/td>\n0,4975<\/td>\n0,4976<\/td>\n0,4977<\/td>\n0,4977<\/td>\n0,4978<\/td>\n0,4979<\/td>\n0,4979<\/td>\n0,4980<\/td>\n0,4981<\/td>\n<\/tr>\n
2,9<\/td>\n0,4981<\/td>\n0,4882<\/td>\n0,4982<\/td>\n0,4983<\/td>\n0,4954<\/td>\n0,4984<\/td>\n0,4985<\/td>\n0,4985<\/td>\n0,4986<\/td>\n0,4986<\/td>\n<\/tr>\n
3,0<\/td>\n0,4987<\/td>\n0,4987<\/td>\n0,4987<\/td>\n0,4988<\/td>\n0,4988<\/td>\n0,4989<\/td>\n0,4989<\/td>\n0,4989<\/td>\n0,4990<\/td>\n0,4990<\/td>\n<\/tr>\n
3,1<\/td>\n0,4990<\/td>\n0,4991<\/td>\n0,4991<\/td>\n0,4991<\/td>\n0,4992<\/td>\n0,4992<\/td>\n0,4992<\/td>\n0,4992<\/td>\n0,4993<\/td>\n0,4993<\/td>\n<\/tr>\n
3,2<\/td>\n0,4993<\/td>\n0,4993<\/td>\n0,4994<\/td>\n0,4994<\/td>\n0,4994<\/td>\n0,4994<\/td>\n0,4994<\/td>\n0,4995<\/td>\n0,4995<\/td>\n0,4995<\/td>\n<\/tr>\n
3,3<\/td>\n0,4995<\/td>\n0,4995<\/td>\n0,4995<\/td>\n0,4996<\/td>\n0,4996<\/td>\n0,4996<\/td>\n0,4996<\/td>\n0,4996<\/td>\n0,4996<\/td>\n0,4997<\/td>\n<\/tr>\n
3,4<\/td>\n0,4997<\/td>\n0,4997<\/td>\n0,4997<\/td>\n0,4997<\/td>\n0,4997<\/td>\n0,4997<\/td>\n0,4997<\/td>\n0,4997<\/td>\n0,4997<\/td>\n0,4998<\/td>\n<\/tr>\n
3,5<\/td>\n0,4998<\/td>\n0,4998<\/td>\n0,4998<\/td>\n0,4998<\/td>\n0,4998<\/td>\n0,4998<\/td>\n0,4998<\/td>\n0,4998<\/td>\n0,4998<\/td>\n0,4998<\/td>\n<\/tr>\n
3,6<\/td>\n0,4998<\/td>\n0,4998<\/td>\n0,4999<\/td>\n0,4999<\/td>\n0,4999<\/td>\n0,4999<\/td>\n0,4999<\/td>\n0,4999<\/td>\n0,4999<\/td>\n0,4999<\/td>\n<\/tr>\n
3,7<\/td>\n0,4999<\/td>\n0,4999<\/td>\n0,4999<\/td>\n0,4999<\/td>\n0,4999<\/td>\n0,4999<\/td>\n0,4999<\/td>\n0,4999<\/td>\n0,4999<\/td>\n0,4999<\/td>\n<\/tr>\n
3,8<\/td>\n0,4999<\/td>\n0,4999<\/td>\n0,4999<\/td>\n0,4999<\/td>\n0,4999<\/td>\n0,4999<\/td>\n0,4999<\/td>\n0,4999<\/td>\n0,4999<\/td>\n0,4999<\/td>\n<\/tr>\n
3,9<\/td>\n0,5000<\/td>\n0,5000<\/td>\n0,5000<\/td>\n0,5000<\/td>\n0,5000<\/td>\n0,5000<\/td>\n0,5000<\/td>\n0,5000<\/td>\n0,5000<\/td>\n0,5000<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Descripci\u00f3n de los \u00edndices de informaci\u00f3n estad\u00edstica utilizados en
\nlas cartas de control p<\/h2>\n\n\n\n\n\n
\u00a0 R<\/strong><\/p>\n

El Rango es la diferencia entre el valor m\u00e0ximo y el valor m\u00ecnimo.<\/p>\n

R = nm\u00e0ximo<\/sub> \u2013 nm\u00ecnimo<\/sub><\/strong><\/td>\n

s<\/strong>2<\/sup><\/p>\n

La varianza es la media aritm\u00e8tica de los cuadrados de las desviaciones respeco a la media aritm\u00e8tica.<\/p>\n

s2<\/sup> = \u03a3(xi \u2013 <\/sub>(x))2) <\/sup>)\u00ad\/n<\/strong><\/td>\n<\/tr>\n

\u03c3<\/strong><\/p>\n

La desviaci\u00f2n est\u00e0ndar \u00f2 t\u00ecpica es la raiz cuadrada de la varianza.<\/p>\n

\u03c3 = Raiz(s2 <\/sup>)<\/strong><\/td>\n

Cv<\/strong><\/p>\n

El coeficiente de variaci\u00f2n es el resultado de dividir la desviaci\u00f2n est\u00e0ndar por su media aritm\u00e8tica, expresando el resultado en t\u00e8rminos porcentuales.<\/p>\n

Cv = s2<\/sup>\/(x)<\/strong><\/td>\n<\/tr>\n

Da<\/strong><\/p>\n

La desviaci\u00f2n media es la media aritm\u00e8tica de las desviaciones respecto a la media, tomadas en valor absoluto.<\/p>\n

Da = \u03a3(xi \u2013 <\/sub>(x))\/n<\/strong><\/td>\n

g2<\/sub><\/strong><\/p>\n

La curtosis es la medida de altura de la curva y est\u00e0 dada por el cuarto momento respecto a la media, dividida por la varianza elevada al cuadrado.<\/p>\n

g2<\/sub> = m4<\/sub>\u00ad\/(s2<\/sup>)2<\/sup> = m4<\/sub>\u00ad\/s4<\/sup><\/strong><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Ejemplo Gr\u00e1fico de Control p<\/h2>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
\n

No.<\/p>\n

muestra<\/td>\n

Unidades<\/p>\n

Revisadas<\/p>\n

n<\/td>\n

No. De<\/p>\n

Defectos (x)<\/p>\n

x<\/td>\n

Fracci\u00f2n<\/p>\n

defectuosa<\/p>\n

p = x\/n<\/td>\n

% Defecuoso<\/p>\n

100p<\/td>\n

\n

Raiz(n)<\/td>\n

\n

Varianza<\/td>\n

1<\/p>\n

Desviaci\u00f3n<\/p>\n

Est\u00e1ndar<\/td>\n

3<\/p>\n

Desviaci\u00f3n<\/p>\n

Est\u00e1ndar<\/td>\n

L.S.C<\/td>\n\n

L.I.C<\/td>\n<\/tr>\n

1<\/td>\n8686<\/td>\n1015<\/td>\n0,11685<\/td>\n11,685%<\/td>\n93,199<\/td>\n0,1032<\/td>\n0,0036<\/td>\n0,0109<\/td>\n0,143139<\/td>\n0,121331<\/td>\n<\/tr>\n
2<\/td>\n4683<\/td>\n768<\/td>\n0,16400<\/td>\n16,400%<\/td>\n68,432<\/td>\n0,1371<\/td>\n0,0050<\/td>\n0,0149<\/td>\n0,147085<\/td>\n0,117384<\/td>\n<\/tr>\n
3<\/td>\n10957<\/td>\n1271<\/td>\n0,11600<\/td>\n11,600%<\/td>\n104,676<\/td>\n0,1025<\/td>\n0,0032<\/td>\n0,0097<\/td>\n0,141943<\/td>\n0,122526<\/td>\n<\/tr>\n
4<\/td>\n8023<\/td>\n1091<\/td>\n0,13598<\/td>\n13,598%<\/td>\n89,571<\/td>\n0,1175<\/td>\n0,0038<\/td>\n0,0113<\/td>\n0,143580<\/td>\n0,120889<\/td>\n<\/tr>\n
5<\/td>\n7463<\/td>\n965<\/td>\n0,12930<\/td>\n12,930%<\/td>\n86,389<\/td>\n0,1126<\/td>\n0,0039<\/td>\n0,0118<\/td>\n0,143998<\/td>\n0,120471<\/td>\n<\/tr>\n
6<\/td>\n6541<\/td>\n940<\/td>\n0,14371<\/td>\n14,371%<\/td>\n80,876<\/td>\n0,1231<\/td>\n0,0042<\/td>\n0,0126<\/td>\n0,144800<\/td>\n0,119669<\/td>\n<\/tr>\n
7<\/td>\n8174<\/td>\n1081<\/td>\n0,13225<\/td>\n13,225%<\/td>\n90,410<\/td>\n0,1148<\/td>\n0,0037<\/td>\n0,0112<\/td>\n0,143475<\/td>\n0,120994<\/td>\n<\/tr>\n
8<\/td>\n3156<\/td>\n458<\/td>\n0,14512<\/td>\n14,512%<\/td>\n56,178<\/td>\n0,1241<\/td>\n0,0060<\/td>\n0,0181<\/td>\n0,150324<\/td>\n0,114145<\/td>\n<\/tr>\n
9<\/td>\n3199<\/td>\n569<\/td>\n0,17787<\/td>\n17,787%<\/td>\n56,560<\/td>\n0,1462<\/td>\n0,0060<\/td>\n0,0180<\/td>\n0,150202<\/td>\n0,114267<\/td>\n<\/tr>\n
10<\/td>\n10059<\/td>\n1258<\/td>\n0,12506<\/td>\n12,506%<\/td>\n100,295<\/td>\n0,1094<\/td>\n0,0034<\/td>\n0,0101<\/td>\n0,142367<\/td>\n0,122102<\/td>\n<\/tr>\n
11<\/td>\n9808<\/td>\n1146<\/td>\n0,11684<\/td>\n11,684%<\/td>\n99,035<\/td>\n0,1032<\/td>\n0,0034<\/td>\n0,0103<\/td>\n0,142496<\/td>\n0,121973<\/td>\n<\/tr>\n
12<\/td>\n5630<\/td>\n1335<\/td>\n0,23712<\/td>\n23,712%<\/td>\n75,033<\/td>\n0,1809<\/td>\n0,0045<\/td>\n0,0135<\/td>\n0,145778<\/td>\n0,118691<\/td>\n<\/tr>\n
13<\/td>\n9271<\/td>\n1261<\/td>\n0,13602<\/td>\n13,602%<\/td>\n96,286<\/td>\n0,1175<\/td>\n0,0035<\/td>\n0,0106<\/td>\n0,142789<\/td>\n0,121680<\/td>\n<\/tr>\n
14<\/td>\n7459<\/td>\n917<\/td>\n0,12294<\/td>\n12,294%<\/td>\n86,366<\/td>\n0,1078<\/td>\n0,0039<\/td>\n0,0118<\/td>\n0,144001<\/td>\n0,120468<\/td>\n<\/tr>\n
15<\/td>\n7690<\/td>\n1105<\/td>\n0,14369<\/td>\n14,369%<\/td>\n87,693<\/td>\n0,1230<\/td>\n0,0039<\/td>\n0,0116<\/td>\n0,143823<\/td>\n0,120646<\/td>\n<\/tr>\n
16<\/td>\n4407<\/td>\n566<\/td>\n0,12843<\/td>\n12,843%<\/td>\n66,385<\/td>\n0,1119<\/td>\n0,0051<\/td>\n0,0153<\/td>\n0,147543<\/td>\n0,116926<\/td>\n<\/tr>\n
17<\/td>\n3157<\/td>\n537<\/td>\n0,17010<\/td>\n17,010%<\/td>\n56,187<\/td>\n0,1412<\/td>\n0,0060<\/td>\n0,0181<\/td>\n0,150321<\/td>\n0,114148<\/td>\n<\/tr>\n
18<\/td>\n6864<\/td>\n760<\/td>\n0,11072<\/td>\n11,072%<\/td>\n82,849<\/td>\n0,0985<\/td>\n0,0041<\/td>\n0,0123<\/td>\n0,144501<\/td>\n0,119969<\/td>\n<\/tr>\n
19<\/td>\n9197<\/td>\n1292<\/td>\n0,14048<\/td>\n14,048%<\/td>\n95,901<\/td>\n0,1207<\/td>\n0,0035<\/td>\n0,0106<\/td>\n0,142831<\/td>\n0,121638<\/td>\n<\/tr>\n
20<\/td>\n7615<\/td>\n873<\/td>\n0,11464<\/td>\n11,464%<\/td>\n87,264<\/td>\n0,1015<\/td>\n0,0039<\/td>\n0,0116<\/td>\n0,143880<\/td>\n0,120589<\/td>\n<\/tr>\n
21<\/td>\n1423<\/td>\n142<\/td>\n0,09979<\/td>\n9,979%<\/td>\n37,723<\/td>\n0,0898<\/td>\n0,0090<\/td>\n0,0269<\/td>\n0,159174<\/td>\n0,105295<\/td>\n<\/tr>\n
22<\/td>\n7077<\/td>\n1110<\/td>\n0,15685<\/td>\n15,685%<\/td>\n84,125<\/td>\n0,1322<\/td>\n0,0040<\/td>\n0,0121<\/td>\n0,144315<\/td>\n0,120155<\/td>\n<\/tr>\n
23<\/td>\n6864<\/td>\n918<\/td>\n0,13374<\/td>\n13,374%<\/td>\n82,849<\/td>\n0,1159<\/td>\n0,0041<\/td>\n0,0123<\/td>\n0,144501<\/td>\n0,119969<\/td>\n<\/tr>\n
24<\/td>\n7765<\/td>\n971<\/td>\n0,12505<\/td>\n12,505%<\/td>\n88,119<\/td>\n0,1094<\/td>\n0,0038<\/td>\n0,0115<\/td>\n0,143767<\/td>\n0,120702<\/td>\n<\/tr>\n
25<\/td>\n8063<\/td>\n829<\/td>\n0,10282<\/td>\n10,282%<\/td>\n89,794<\/td>\n0,0922<\/td>\n0,0038<\/td>\n0,0113<\/td>\n0,143552<\/td>\n0,120917<\/td>\n<\/tr>\n
26<\/td>\n7671<\/td>\n943<\/td>\n0,12293<\/td>\n12,293%<\/td>\n87,584<\/td>\n0,1078<\/td>\n0,0039<\/td>\n0,0116<\/td>\n0,143838<\/td>\n0,120632<\/td>\n<\/tr>\n
27<\/td>\n6468<\/td>\n856<\/td>\n0,13234<\/td>\n13,234%<\/td>\n80,424<\/td>\n0,1148<\/td>\n0,0042<\/td>\n0,0126<\/td>\n0,144871<\/td>\n0,119599<\/td>\n<\/tr>\n
28<\/td>\n2497<\/td>\n342<\/td>\n0,13696<\/td>\n13,696%<\/td>\n49,970<\/td>\n0,1182<\/td>\n0,0068<\/td>\n0,0203<\/td>\n0,152572<\/td>\n0,111898<\/td>\n<\/tr>\n
29<\/td>\n7343<\/td>\n759<\/td>\n0,10336<\/td>\n10,336%<\/td>\n85,691<\/td>\n0,0927<\/td>\n0,0040<\/td>\n0,0119<\/td>\n0,144094<\/td>\n0,120375<\/td>\n<\/tr>\n
Totales:<\/td>\n197210<\/td>\n26078<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
Promedios:<\/td>\n6800,34<\/td>\n899,24<\/td>\n0,13223<\/td>\n<\/td>\n80,892<\/td>\n<\/td>\n<\/td>\n<\/td>\n0,145502<\/td>\n0,118967<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Desviaciones \u03c3: 3<\/p>\n

Promedio (p):26.078 \/ 197.210 = 0,13223<\/p>\n

Varianza: 0,13223 x (1 \u2013 0,13223) = 0,1147<\/p>\n

Promedio revisado:192.210 \/ 29 = 6,800,34<\/p>\n

Raiz (n): Raiz(6.800,34) = 82,464<\/p>\n

Desviaci\u00f2n estandar: Raiz(0,1147) = 0,0041<\/p>\n

3 Desviaciones estandar: 0,0041 x 3 = 0,0123<\/p>\n

% Coeficiente de variaci\u00f3n: (0,041 x 100) \/ 0,1322 = 3,110<\/p>\n

L.S.C.: 0,1322 + 0,0123 = 0,1446<\/p>\n

L.I.C.: 0.1322 \u2013 0,0123 = 0,1199<\/p>\n

Descripci\u00f3n de los \u00edndices de informaci\u00f3n estad\u00edstica utilizados en
\nlas cartas de control pn<\/h2>\n\n\n\n\n\n
\u00a0 R<\/strong><\/p>\n

El Rango es la diferencia entre el valor m\u00e0ximo y el valor m\u00ecnimo.<\/p>\n

R = nm\u00e0ximo<\/sub> \u2013 nm\u00ecnimo<\/sub><\/strong><\/td>\n

s<\/strong>2<\/sup><\/p>\n

La varianza es la media aritm\u00e8tica de los cuadrados de las desviaciones respeco a la media aritm\u00e8tica.<\/p>\n

s2<\/sup> = \u03a3(xi \u2013 <\/sub>(x))2) <\/sup>)\u00ad\/n<\/strong><\/td>\n<\/tr>\n

\u03c3<\/strong><\/p>\n

La desviaci\u00f2n est\u00e0ndar \u00f2 t\u00ecpica es la raiz cuadrada de la varianza.<\/p>\n

\u03c3 = Raiz(s2 <\/sup>)<\/strong><\/td>\n

Cv<\/strong><\/p>\n

El coeficiente de variaci\u00f2n es el resultado de dividir la desviaci\u00f2n est\u00e0ndar por su media aritm\u00e8tica, expresando el resultado en t\u00e8rminos porcentuales.<\/p>\n

Cv = s2<\/sup>\/(x)<\/strong><\/td>\n<\/tr>\n

Da<\/strong><\/p>\n

La desviaci\u00f2n media es la media aritm\u00e8tica de las desviaciones respecto a la media, tomadas en valor absoluto.<\/p>\n

Da = \u03a3(xi \u2013 <\/sub>(x))\/n<\/strong><\/td>\n

g2<\/sub><\/strong><\/p>\n

La curtosis es la medida de altura de la curva y est\u00e0 dada por el cuarto momento respecto a la media, dividida por la varianza elevada al cuadrado.<\/p>\n

g2<\/sub> = m4<\/sub>\u00ad\/(s2<\/sup>)2<\/sup> = m4<\/sub>\u00ad\/s4<\/sup><\/strong><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Descripci\u00f3n de los \u00edndices de informaci\u00f3n estad\u00edstica utilizados en
\nlas cartas de control c<\/h2>\n\n\n\n\n\n
\u00a0 R<\/strong><\/p>\n

El Rango es la diferencia entre el valor m\u00e0ximo y el valor m\u00ecnimo.<\/p>\n

R = nm\u00e0ximo<\/sub> \u2013 nm\u00ecnimo<\/sub><\/strong><\/td>\n

s<\/strong>2<\/sup><\/p>\n

La varianza es la media aritm\u00e8tica de los cuadrados de las desviaciones respeco a la media aritm\u00e8tica.<\/p>\n

s2<\/sup> = \u03a3(xi \u2013 <\/sub>(x))2) <\/sup>)\u00ad\/n<\/strong><\/td>\n<\/tr>\n

\u03c3<\/strong><\/p>\n

La desviaci\u00f2n est\u00e0ndar \u00f2 t\u00ecpica es la raiz cuadrada de la varianza.<\/p>\n

\u03c3 = Raiz(s2 <\/sup>)<\/strong><\/td>\n

Cv<\/strong><\/p>\n

El coeficiente de variaci\u00f2n es el resultado de dividir la desviaci\u00f2n est\u00e0ndar por su media aritm\u00e8tica, expresando el resultado en t\u00e8rminos porcentuales.<\/p>\n

Cv = s2<\/sup>\/(x)<\/strong><\/td>\n<\/tr>\n

Da<\/strong><\/p>\n

La desviaci\u00f2n media es la media aritm\u00e8tica de las desviaciones respecto a la media, tomadas en valor absoluto.<\/p>\n

Da = \u03a3(xi \u2013 <\/sub>(x))\/n<\/strong><\/td>\n

g2<\/sub><\/strong><\/p>\n

La curtosis es la medida de altura de la curva y est\u00e0 dada por el cuarto momento respecto a la media, dividida por la varianza elevada al cuadrado.<\/p>\n

g2<\/sub> = m4<\/sub>\u00ad\/(s2<\/sup>)2<\/sup> = m4<\/sub>\u00ad\/s4<\/sup><\/strong><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Descripci\u00f3n de los \u00edndices de informaci\u00f3n estad\u00edstica utilizados en
\nlas cartas de control u<\/h2>\n\n\n\n\n\n
\u00a0 R<\/strong><\/p>\n

El Rango es la diferencia entre el valor m\u00e0ximo y el valor m\u00ecnimo.<\/p>\n

R = nm\u00e0ximo<\/sub> \u2013 nm\u00ecnimo<\/sub><\/strong><\/td>\n

s<\/strong>2<\/sup><\/p>\n

La varianza es la media aritm\u00e8tica de los cuadrados de las desviaciones respeco a la media aritm\u00e8tica.<\/p>\n

s2<\/sup> = \u03a3(xi \u2013 <\/sub>(x))2) <\/sup>)\u00ad\/n<\/strong><\/td>\n<\/tr>\n

\u03c3<\/strong><\/p>\n

La desviaci\u00f2n est\u00e0ndar \u00f2 t\u00ecpica es la raiz cuadrada de la varianza.<\/p>\n

\u03c3 = Raiz(s2 <\/sup>)<\/strong><\/td>\n

Cv<\/strong><\/p>\n

El coeficiente de variaci\u00f2n es el resultado de dividir la desviaci\u00f2n est\u00e0ndar por su media aritm\u00e8tica, expresando el resultado en t\u00e8rminos porcentuales.<\/p>\n

Cv = s2<\/sup>\/(x)<\/strong><\/td>\n<\/tr>\n

Da<\/strong><\/p>\n

La desviaci\u00f2n media es la media aritm\u00e8tica de las desviaciones respecto a la media, tomadas en valor absoluto.<\/p>\n

Da = \u03a3(xi \u2013 <\/sub>(x))\/n<\/strong><\/td>\n

g2<\/sub><\/strong><\/p>\n

La curtosis es la medida de altura de la curva y est\u00e0 dada por el cuarto momento respecto a la media, dividida por la varianza elevada al cuadrado.<\/p>\n

g2<\/sub> = m4<\/sub>\u00ad\/(s2<\/sup>)2<\/sup> = m4<\/sub>\u00ad\/s4<\/sup><\/strong><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"excerpt":{"rendered":"

Descripci\u00f3n de los \u00edndices de informaci\u00f3n estad\u00edstica utilizados en las cartas de control y en los estudios estad\u00edsticos individuales I Medidas de posici\u00f3n \u00a0 Ma Media aritm\u00e8tica es el cociente que se obtiene de dividir la suma de los valores de la variable por el n\u00f9mero de observaciones. Ma = (x1 + x2 + x3… Leer m\u00e1s »Descripci\u00f3n de los \u00edndices de informaci\u00f3n estad\u00edstica utilizados en las cartas de control y estudios estad\u00edsticos individuales<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"neve_meta_sidebar":"","neve_meta_container":"","neve_meta_enable_content_width":"","neve_meta_content_width":0,"neve_meta_title_alignment":"","neve_meta_author_avatar":"","neve_post_elements_order":"","neve_meta_disable_header":"","neve_meta_disable_footer":"","neve_meta_disable_title":""},"categories":[1],"tags":[],"_links":{"self":[{"href":"http:\/\/davincitextil.com\/blog\/wp-json\/wp\/v2\/posts\/132"}],"collection":[{"href":"http:\/\/davincitextil.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/davincitextil.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/davincitextil.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/davincitextil.com\/blog\/wp-json\/wp\/v2\/comments?post=132"}],"version-history":[{"count":1,"href":"http:\/\/davincitextil.com\/blog\/wp-json\/wp\/v2\/posts\/132\/revisions"}],"predecessor-version":[{"id":133,"href":"http:\/\/davincitextil.com\/blog\/wp-json\/wp\/v2\/posts\/132\/revisions\/133"}],"wp:attachment":[{"href":"http:\/\/davincitextil.com\/blog\/wp-json\/wp\/v2\/media?parent=132"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/davincitextil.com\/blog\/wp-json\/wp\/v2\/categories?post=132"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/davincitextil.com\/blog\/wp-json\/wp\/v2\/tags?post=132"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}