Calculo de Shapiro-Wilks

56
Dia Toma Ph 12-Oct-15 AGO-PM-01 6.6 AGO-PM-02 6.4 AGO-PM-03 6.5 AGO-PM-04 6.8 AGO-PM-05 6.7 AGO-PM-06 6.8 AGO-PM-07 6.5 AGO-PM-08 6.5 AGO-PM-09 6.5 AGO-PM-10 6.7 AGO-PM-11 6.6 AGO-PM-12 6.9 AGO-PM-13 6.5 AGO-PM-14 6.7 AGO-PM-15 6.4 AGO-PU-13 6.5 13-Oct-15 AGO-PM-01 6.7 AGO-PM-02 6.9 AGO-PM-03 6.8 AGO-PM-04 6.9 AGO-PM-05 6.8 AGO-PM-06 6.8 AGO-PM-07 6.8 AGO-PM-08 6.2 AGO-PM-09 6.7 AGO-PM-10 6.8 AGO-PM-11 6.8 AGO-PM-12 6.7 AGO-PM-13 6.7 AGO-PM-14 6.6 AGO-PM-15 6.7 AGO-PU-13 6.7 AGO-PM-01 6.9 AGO-PM-02 6.5 AGO-PM-03 6.6 AGO-PM-04 6.6 AGO-PM-05 6.6 AGO-PM-06 6.6 AGO-PM-07 6.6

Transcript of Calculo de Shapiro-Wilks

Page 1: Calculo de Shapiro-Wilks

Dia Toma Ph Kα,p=99%

12-Oct-15

AGO-PM-01 6.6 Kα,p=95%AGO-PM-02 6.4 Promedio(Ў)AGO-PM-03 6.5 Desviacion EstándarAGO-PM-04 6.8AGO-PM-05 6.7AGO-PM-06 6.8AGO-PM-07 6.5AGO-PM-08 6.5AGO-PM-09 6.5AGO-PM-10 6.7AGO-PM-11 6.6AGO-PM-12 6.9AGO-PM-13 6.5AGO-PM-14 6.7AGO-PM-15 6.4AGO-PU-13 6.5

13-Oct-15

AGO-PM-01 6.7AGO-PM-02 6.9AGO-PM-03 6.8AGO-PM-04 6.9AGO-PM-05 6.8AGO-PM-06 6.8AGO-PM-07 6.8AGO-PM-08 6.2AGO-PM-09 6.7AGO-PM-10 6.8AGO-PM-11 6.8AGO-PM-12 6.7AGO-PM-13 6.7AGO-PM-14 6.6AGO-PM-15 6.7AGO-PU-13 6.7

14-Oct-15

AGO-PM-01 6.9AGO-PM-02 6.5AGO-PM-03 6.6AGO-PM-04 6.6AGO-PM-05 6.6AGO-PM-06 6.6AGO-PM-07 6.6

Page 2: Calculo de Shapiro-Wilks

14-Oct-15AGO-PM-08 6.6AGO-PM-09 6.6AGO-PM-10 6.6AGO-PM-11 6.6AGO-PM-12 6.8AGO-PM-13 6.8AGO-PM-14 6.4AGO-PM-15 6.6AGO-PU-13 6.8

15-Oct-15

AGO-PM-01 6.9AGO-PM-02 6.8AGO-PM-03 6.9AGO-PM-04 6.9AGO-PM-05 6.9AGO-PM-06 6.9AGO-PM-07 6.9AGO-PM-08 6.9AGO-PM-09 6.9AGO-PM-10 6.9AGO-PM-11 6.8AGO-PM-12 6.7AGO-PM-13 7AGO-PM-14 6.9AGO-PM-15 6.9AGO-PU-13 7.0

16-Oct-15

AGO-PM-01 6AGO-PM-02 5.9AGO-PM-03 5.8AGO-PM-04 6AGO-PM-05 5.8AGO-PM-06 5.9AGO-PM-07 6.1AGO-PM-08 5.8AGO-PM-09 5.8AGO-PM-10 5.8AGO-PM-11 5.8AGO-PM-12 5.8AGO-PM-13 5.9AGO-PM-14 5.8AGO-PM-15 6.1AGO-PU-13 5.8

Page 3: Calculo de Shapiro-Wilks

17-Oct-15

AGO-PM-01 5.8AGO-PM-02 5.8AGO-PM-03 5.8AGO-PM-04 6AGO-PM-05 5.9AGO-PM-06 5.8AGO-PM-07 5.9AGO-PM-08 5.8AGO-PM-09 5.9AGO-PM-10 5.7AGO-PM-11 5.7AGO-PM-12 5.8AGO-PM-13 5.7AGO-PM-14 5.8AGO-PM-15 5.8AGO-PU-13 5.8

18-Oct-15

AGO-PM-01 6.9AGO-PM-02 6.7AGO-PM-03 6.8AGO-PM-04 6.7AGO-PM-05 6.9AGO-PM-06 6.8AGO-PM-07 6.9AGO-PM-08 6.8AGO-PM-09 6.8AGO-PM-10 6.8AGO-PM-11 6.7AGO-PM-12 6.0AGO-PM-13 6.3AGO-PM-14 6.4AGO-PM-15 6.1AGO-PU-13 5.9

19-Oct-15

AGO-PM-01 5.9AGO-PM-02 5.8AGO-PM-03 5.8AGO-PM-04 5.1AGO-PM-05 5.4AGO-PM-06 5.5AGO-PM-07 5.6AGO-PM-08 5.6AGO-PM-09 5.6

Page 4: Calculo de Shapiro-Wilks

19-Oct-15

AGO-PM-10 5.6AGO-PM-11 5.6AGO-PM-12 5.6AGO-PM-13 5.7AGO-PM-14 5.8AGO-PM-15 5.7AGO-PU-13 5.6

20-Oct-15

AGO-PM-01 6.2AGO-PM-02 5.9AGO-PM-03 5.9AGO-PM-04 5.8AGO-PM-05 5.7AGO-PM-06 5.8AGO-PM-07 5.9AGO-PM-08 5.8AGO-PM-09 5.8AGO-PM-10 5.7AGO-PM-11 5.8AGO-PM-12 5.7AGO-PM-13 5.8AGO-PM-14 5.8AGO-PM-15 5.7AGO-PU-13 5.8

21-Oct-15

AGO-PM-01 6.9AGO-PM-02 6AGO-PM-03 6AGO-PM-04 6.2AGO-PM-05 5.8AGO-PM-06 5.8AGO-PM-07 5.8AGO-PM-08 5.9AGO-PM-09 5.8AGO-PM-10 5.8AGO-PM-11 5.8AGO-PM-12 5.7AGO-PM-13 5.7AGO-PM-14 5.8AGO-PM-15 5.7AGO-PU-13 6

22-Oct-15

AGO-PM-01 6.4AGO-PM-02 6

Page 5: Calculo de Shapiro-Wilks

22-Oct-15

AGO-PM-03 6AGO-PM-04 5.8AGO-PM-05 5.7AGO-PM-06 5.7AGO-PM-07 5.7AGO-PM-08 5.8AGO-PM-09 5.8AGO-PM-10 5.7AGO-PM-11 5.8AGO-PM-12 5.7AGO-PM-13 5.7AGO-PM-14 5.7AGO-PM-15 5.7AGO-PU-13 5.8

23-Oct-15

AGO-PM-01 6.4AGO-PM-02 6AGO-PM-03 6AGO-PM-04 5.9AGO-PM-05 5.8AGO-PM-06 5.8AGO-PM-07 5.8AGO-PM-08 5.8AGO-PM-09 5.7AGO-PM-10 5.7AGO-PM-11 5.8AGO-PM-12 5.7AGO-PM-13 5.7AGO-PM-14 5.8AGO-PM-15 5.7AGO-PU-13 5.8

24-Oct-15

AGO-PM-01 6.3AGO-PM-02 6.1AGO-PM-03 6.1AGO-PM-04 6AGO-PM-05 5.8AGO-PM-06 5.8AGO-PM-07 5.8AGO-PM-08 5.8AGO-PM-09 5.8AGO-PM-10 5.8AGO-PM-11 5.8

Page 6: Calculo de Shapiro-Wilks

24-Oct-15

AGO-PM-12 5.7AGO-PM-13 5.8AGO-PM-14 5.8AGO-PM-15 5.7AGO-PU-13 5.7

25-Oct-15

AGO-PM-01 5.9AGO-PM-02 5.9AGO-PM-03 5.9AGO-PM-04 5.7AGO-PM-05 5.8AGO-PM-06 5.7AGO-PM-07 5.8AGO-PM-08 5.8AGO-PM-09 5.8AGO-PM-10 5.8AGO-PM-11 5.8AGO-PM-12 5.8AGO-PM-13 5.9AGO-PM-14 5.8AGO-PM-15 5.8AGO-PU-13 5.8

26-Oct-15

AGO-PM-01 6.5AGO-PM-02 6.2AGO-PM-03 6.1AGO-PM-04 5.9AGO-PM-05 5.9AGO-PM-06 5.8AGO-PM-07 5.8AGO-PM-08 5.8AGO-PM-09 5.8AGO-PM-10 5.8AGO-PM-11 5.8AGO-PM-12 5.8AGO-PM-13 5.9AGO-PM-14 5.8AGO-PM-15 5.8AGO-PU-13 6

Page 7: Calculo de Shapiro-Wilks

2.191 Kα,p=99% Kα,p=95%

2.788 Limite inferior 4.85640903631 5.1577131992 -2.121 Limite Superior 7.37525763035 7.0739534675 +

6.115833333 5.54913636541 5.68471272040.451730379 6.68253030126 6.54695394630.203262901

Page 8: Calculo de Shapiro-Wilks

2.191Dia Toma Conductividad Kα,p=99% 2.788

12-Oct-15

AGO-PM-01 0.8 Kα,p=95% 2.121AGO-PM-02 1.4 Promedio(Ў) 0.8733333AGO-PM-03 0.7 Desviacion Estánd 0.8870744AGO-PM-04 0.8 0.786901AGO-PM-05 0.7AGO-PM-06 0.8AGO-PM-07 1AGO-PM-08 6.5AGO-PM-09 1AGO-PM-10 0.9AGO-PM-11 0.6AGO-PM-12 1.3AGO-PM-13 0.8AGO-PM-14 0.6AGO-PM-15 2.9AGO-PU-13 5.7

13-Oct-15

AGO-PM-01 0.8AGO-PM-02 1AGO-PM-03 0.7AGO-PM-04 1.1AGO-PM-05 0.6AGO-PM-06 0.8AGO-PM-07 0.9AGO-PM-08 6.2AGO-PM-09 0.9AGO-PM-10 0.9AGO-PM-11 0.9AGO-PM-12 1AGO-PM-13 1AGO-PM-14 0.6AGO-PM-15 2.4AGO-PU-13 5.8

14-Oct-15

AGO-PM-01 0.6AGO-PM-02 0.7AGO-PM-03 0.7AGO-PM-04 0.8AGO-PM-05 0.6AGO-PM-06 0.8AGO-PM-07 0.6

Page 9: Calculo de Shapiro-Wilks

14-Oct-15AGO-PM-08 0.9AGO-PM-09 0.7AGO-PM-10 0.6AGO-PM-11 0.8AGO-PM-12 0.7AGO-PM-13 0.7AGO-PM-14 0.5AGO-PM-15 0.6AGO-PU-13 5.9

15-Oct-15

AGO-PM-01 0.6AGO-PM-02 0.6AGO-PM-03 0.6AGO-PM-04 1.1AGO-PM-05 0.4AGO-PM-06 0.6AGO-PM-07 0.3AGO-PM-08 0.8AGO-PM-09 0.8AGO-PM-10 2.5AGO-PM-11 2.5AGO-PM-12 1.3AGO-PM-13 2.3AGO-PM-14 0.8AGO-PM-15 0.6AGO-PU-13 5.8

16-Oct-15

AGO-PM-01 0.6AGO-PM-02 0.7AGO-PM-03 1AGO-PM-04 1.8AGO-PM-05 0.6AGO-PM-06 0.6AGO-PM-07 0.7AGO-PM-08 0.7AGO-PM-09 0.7AGO-PM-10 0.6AGO-PM-11 0.6AGO-PM-12 0.6AGO-PM-13 0.6AGO-PM-14 0.6AGO-PM-15 0.6AGO-PU-13 1.5

Page 10: Calculo de Shapiro-Wilks

17-Oct-15

AGO-PM-01 0.6AGO-PM-02 0.6AGO-PM-03 0.7AGO-PM-04 0.9AGO-PM-05 0.7AGO-PM-06 0.7AGO-PM-07 0.6AGO-PM-08 0.7AGO-PM-09 0.7AGO-PM-10 0.8AGO-PM-11 0.6AGO-PM-12 0.6AGO-PM-13 0.6AGO-PM-14 0.5AGO-PM-15 0.6AGO-PU-13 0.5

18-Oct-15

AGO-PM-01 0.8AGO-PM-02 0.6AGO-PM-03 0.6AGO-PM-04 0.6AGO-PM-05 0.8AGO-PM-06 0.6AGO-PM-07 0.6AGO-PM-08 0.7AGO-PM-09 0.7AGO-PM-10 0.7AGO-PM-11 0.6AGO-PM-12 0.7AGO-PM-13 0.9AGO-PM-14 0.6AGO-PM-15 0.7AGO-PU-13 0.7

19-Oct-15

AGO-PM-01 0.9AGO-PM-02 0.7AGO-PM-03 0.6AGO-PM-04 0.7AGO-PM-05 0.6AGO-PM-06 0.6AGO-PM-07 0.6AGO-PM-08 0.6AGO-PM-09 0.6

Page 11: Calculo de Shapiro-Wilks

19-Oct-15

AGO-PM-10 0.7AGO-PM-11 0.5AGO-PM-12 0.6AGO-PM-13 0.6AGO-PM-14 0.5AGO-PM-15 0.7AGO-PU-13 0.5

20-Oct-15

AGO-PM-01 0.5AGO-PM-02 0.7AGO-PM-03 0.6AGO-PM-04 0.8AGO-PM-05 0.6AGO-PM-06 0.8AGO-PM-07 0.6AGO-PM-08 0.9AGO-PM-09 0.6AGO-PM-10 0.6AGO-PM-11 0.6AGO-PM-12 0.7AGO-PM-13 0.6AGO-PM-14 0.6AGO-PM-15 0.7AGO-PU-13 0.5

21-Oct-15

AGO-PM-01 0.6AGO-PM-02 0.6AGO-PM-03 0.4AGO-PM-04 1.1AGO-PM-05 0.8AGO-PM-06 0.7AGO-PM-07 0.8AGO-PM-08 0.7AGO-PM-09 0.5AGO-PM-10 0.7AGO-PM-11 0.7AGO-PM-12 0.7AGO-PM-13 0.5AGO-PM-14 0.6AGO-PM-15 0.7AGO-PU-13 0.5

22-Oct-15

AGO-PM-01 0.7AGO-PM-02 0.6

Page 12: Calculo de Shapiro-Wilks

22-Oct-15

AGO-PM-03 0.6AGO-PM-04 0.6AGO-PM-05 0.7AGO-PM-06 0.8AGO-PM-07 0.6AGO-PM-08 0.8AGO-PM-09 0.6AGO-PM-10 0.8AGO-PM-11 0.7AGO-PM-12 0.8AGO-PM-13 1AGO-PM-14 0.5AGO-PM-15 0.6AGO-PU-13 0.5

23-Oct-15

AGO-PM-01 0.5AGO-PM-02 0.5AGO-PM-03 0.6AGO-PM-04 0.6AGO-PM-05 0.6AGO-PM-06 0.6AGO-PM-07 0.6AGO-PM-08 0.6AGO-PM-09 0.7AGO-PM-10 0.7AGO-PM-11 0.6AGO-PM-12 0.8AGO-PM-13 0.6AGO-PM-14 0.5AGO-PM-15 0.8AGO-PU-13 0.5

24-Oct-15

AGO-PM-01 0.6AGO-PM-02 1.5AGO-PM-03 0.7AGO-PM-04 0.7AGO-PM-05 0.6AGO-PM-06 0.5AGO-PM-07 0.8AGO-PM-08 0.6AGO-PM-09 0.5AGO-PM-10 0.6AGO-PM-11 0.7

Page 13: Calculo de Shapiro-Wilks

24-Oct-15

AGO-PM-12 2.4AGO-PM-13 0.6AGO-PM-14 0.5AGO-PM-15 0.6AGO-PU-13 0.6

25-Oct-15

AGO-PM-01 0.9AGO-PM-02 0.8AGO-PM-03 0.7AGO-PM-04 0.6AGO-PM-05 0.8AGO-PM-06 0.8AGO-PM-07 0.7AGO-PM-08 0.7AGO-PM-09 0.7AGO-PM-10 0.6AGO-PM-11 0.6AGO-PM-12 0.8AGO-PM-13 0.6AGO-PM-14 0.5AGO-PM-15 0.6AGO-PU-13 0.5

26-Oct-15

AGO-PM-01 0.8AGO-PM-02 0.6AGO-PM-03 0.7AGO-PM-04 0.7AGO-PM-05 0.7AGO-PM-06 0.7AGO-PM-07 0.7AGO-PM-08 0.6AGO-PM-09 0.8AGO-PM-10 0.7AGO-PM-11 0.6AGO-PM-12 0.7AGO-PM-13 0.6AGO-PM-14 0.6AGO-PM-15 0.6AGO-PU-13 0.7

Page 14: Calculo de Shapiro-Wilks

Kα,p=99% Kα,p=95%Limite inferior -1.5998301 -1.0081515Limite Superior 3.34649674 2.7548181

-1.3205466 -0.79568363.06721326 2.5423503

Page 15: Calculo de Shapiro-Wilks

2.191Dia Toma TOC Kα,p=99% 2.788

12-Oct-15

AGO-PM-01 64 Kα,p=95% 2.121AGO-PM-02 15 Promedio(Ў) 42.867917AGO-PM-03 54 Desviacion Estándar 57.63703AGO-PM-04 253 3322.0272AGO-PM-05 366AGO-PM-06 461AGO-PM-07 189AGO-PM-08 96AGO-PM-09 34AGO-PM-10 88AGO-PM-11 23AGO-PM-12 274AGO-PM-13 164AGO-PM-14 42AGO-PM-15 28AGO-PU-13 15

13-Oct-15

AGO-PM-01 61AGO-PM-02 155AGO-PM-03 232AGO-PM-04 83AGO-PM-05 320AGO-PM-06 38AGO-PM-07 194AGO-PM-08 4AGO-PM-09 93AGO-PM-10 36AGO-PM-11 24.3AGO-PM-12 54AGO-PM-13 57AGO-PM-14 37AGO-PM-15 2AGO-PU-13 14

14-Oct-15

AGO-PM-01 35AGO-PM-02 71AGO-PM-03 63AGO-PM-04 134AGO-PM-05 163AGO-PM-06 44AGO-PM-07 20

Page 16: Calculo de Shapiro-Wilks

14-Oct-15AGO-PM-08 32AGO-PM-09 28AGO-PM-10 47AGO-PM-11 25AGO-PM-12 39AGO-PM-13 23AGO-PM-14 42AGO-PM-15 58AGO-PU-13 21

15-Oct-15

AGO-PM-01 42AGO-PM-02 38AGO-PM-03 46AGO-PM-04 81AGO-PM-05 93AGO-PM-06 30AGO-PM-07 31AGO-PM-08 18AGO-PM-09 56AGO-PM-10 14AGO-PM-11 7AGO-PM-12 29AGO-PM-13 18AGO-PM-14 23AGO-PM-15 145AGO-PU-13 6

16-Oct-15

AGO-PM-01 19AGO-PM-02 23AGO-PM-03 31AGO-PM-04 100AGO-PM-05 26AGO-PM-06 18AGO-PM-07 27AGO-PM-08 17AGO-PM-09 34AGO-PM-10 29AGO-PM-11 24AGO-PM-12 75AGO-PM-13 15AGO-PM-14 19AGO-PM-15 19AGO-PU-13 99

Page 17: Calculo de Shapiro-Wilks

17-Oct-15

AGO-PM-01 26AGO-PM-02 16AGO-PM-03 18AGO-PM-04 32AGO-PM-05 46AGO-PM-06 25AGO-PM-07 31AGO-PM-08 16AGO-PM-09 18AGO-PM-10 17AGO-PM-11 32AGO-PM-12 61AGO-PM-13 53AGO-PM-14 16AGO-PM-15 13AGO-PU-13 28

18-Oct-15

AGO-PM-01 23AGO-PM-02 27AGO-PM-03 32AGO-PM-04 22AGO-PM-05 92AGO-PM-06 43AGO-PM-07 41AGO-PM-08 28AGO-PM-09 58AGO-PM-10 27AGO-PM-11 37AGO-PM-12 30AGO-PM-13 18AGO-PM-14 14AGO-PM-15 22AGO-PU-13 15

19-Oct-15

AGO-PM-01 24AGO-PM-02 34AGO-PM-03 18AGO-PM-04 24AGO-PM-05 26AGO-PM-06 15AGO-PM-07 15AGO-PM-08 23AGO-PM-09 17

Page 18: Calculo de Shapiro-Wilks

19-Oct-15

AGO-PM-10 26AGO-PM-11 22AGO-PM-12 7AGO-PM-13 9AGO-PM-14 21AGO-PM-15 23AGO-PU-13 14

20-Oct-15

AGO-PM-01 34AGO-PM-02 15AGO-PM-03 19AGO-PM-04 74AGO-PM-05 27AGO-PM-06 19AGO-PM-07 34AGO-PM-08 96AGO-PM-09 23AGO-PM-10 36AGO-PM-11 32AGO-PM-12 12AGO-PM-13 20AGO-PM-14 31AGO-PM-15 37AGO-PU-13 27

21-Oct-15

AGO-PM-01 22AGO-PM-02 49AGO-PM-03 8AGO-PM-04 0AGO-PM-05 13AGO-PM-06 8AGO-PM-07 40AGO-PM-08 17AGO-PM-09 27AGO-PM-10 11AGO-PM-11 33AGO-PM-12 35AGO-PM-13 18AGO-PM-14 20AGO-PM-15 21AGO-PU-13 17

22-Oct-15

AGO-PM-01 39AGO-PM-02 14

Page 19: Calculo de Shapiro-Wilks

22-Oct-15

AGO-PM-03 48AGO-PM-04 74AGO-PM-05 56AGO-PM-06 10AGO-PM-07 11AGO-PM-08 4AGO-PM-09 18AGO-PM-10 39AGO-PM-11 5AGO-PM-12 19AGO-PM-13 117AGO-PM-14 66AGO-PM-15 15AGO-PU-13 21

23-Oct-15

AGO-PM-01 32AGO-PM-02 14AGO-PM-03 15AGO-PM-04 29AGO-PM-05 23AGO-PM-06 18AGO-PM-07 11AGO-PM-08 12AGO-PM-09 10AGO-PM-10 24AGO-PM-11 13AGO-PM-12 31AGO-PM-13 26AGO-PM-14 37AGO-PM-15 15AGO-PU-13 32

24-Oct-15

AGO-PM-01 53AGO-PM-02 8AGO-PM-03 57AGO-PM-04 55AGO-PM-05 16AGO-PM-06 134AGO-PM-07 12AGO-PM-08 15AGO-PM-09 117AGO-PM-10 112AGO-PM-11 11

Page 20: Calculo de Shapiro-Wilks

24-Oct-15

AGO-PM-12 11AGO-PM-13 19AGO-PM-14 99AGO-PM-15 46AGO-PU-13 236

25-Oct-15

AGO-PM-01 19AGO-PM-02 28AGO-PM-03 25AGO-PM-04 18AGO-PM-05 29AGO-PM-06 13AGO-PM-07 8AGO-PM-08 24AGO-PM-09 56AGO-PM-10 18AGO-PM-11 14AGO-PM-12 10AGO-PM-13 15AGO-PM-14 11AGO-PM-15 15AGO-PU-13 11

26-Oct-15

AGO-PM-01 50AGO-PM-02 18AGO-PM-03 8AGO-PM-04 18AGO-PM-05 13AGO-PM-06 19AGO-PM-07 11AGO-PM-08 34AGO-PM-09 5AGO-PM-10 6AGO-PM-11 10AGO-PM-12 8AGO-PM-13 9AGO-PM-14 13AGO-PM-15 10AGO-PU-13 6

Page 21: Calculo de Shapiro-Wilks

Kα,p=99% Kα,p=95%Limite inferior -117.8241 -79.38022Limite Superior 203.55996 165.11606

-9218.9449304.6798

Page 22: Calculo de Shapiro-Wilks

Orden m a M 6.2 x1 n

6.4 x2 50

6.4 x3 diff6.4 x4 a1 0.3751 x50 - x1 0.76.5 x5 a2 0.2574 x49 - x2 0.56.5 x6 a3 0.226 x48 - x3 0.56.5 x7 a4 0.2032 x47 - x4 0.56.5 x8 a5 0.1847 x46 - x5 0.46.5 x9 a6 0.1691 x45 - x6 0.36.5 x10 a7 0.1554 x44 - x7 0.36.5 x11 a8 0.143 x43 - x8 0.36.6 x12 a9 0.1317 x42 - x9 0.36.6 x13 a10 0.1212 x41 - x10 0.36.6 x14 a11 0.1113 x40 - x11 0.36.6 x15 a12 0.102 x39 - x12 0.26.6 x16 a13 0.0932 x38 - x13 0.26.6 x17 a14 0.0846 x37 - x14 0.26.6 x18 a15 0.0764 x36 - x15 0.26.6 x19 a16 0.0685 x35 - x16 0.26.6 x20 a17 0.0608 x34 - x17 0.26.6 x21 a18 0.0532 x33 - x18 0.16.6 x22 a19 0.0459 x32 - x19 0.16.6 x23 a20 0.0386 x31 - x20 0.16.6 x24 a21 0.0314 x30 - x21 0.16.7 x25 a22 0.0244 x29 - x22 0.16.7 x26 a23 0.0174 x28 - x23 0.16.7 x27 a24 0.0104 x27 - x24 0.16.7 x28 a25 0.0035 x26 - x25 0.06.7 x29 Sumatoria6.7 x306.7 x31 Varianza 0.024036735 0.1550378496.7 x32 Sumatoria 1.048496.7 x33 1/[(n-1)*S^2] 0.8490405846.8 x34 W=1/[(n-1)*S^2 0.9333768726.8 x356.8 x366.8 x376.8 x386.8 x396.8 x40

Page 23: Calculo de Shapiro-Wilks

6.8 x416.8 x426.8 x436.8 x446.8 x456.9 x466.9 x476.9 x486.9 x496.9 x50

0

Page 24: Calculo de Shapiro-Wilks

Orden 2 m a M5.7 x1 n

5.7 x2 50

diff*a 5.7 x30.26257 5.8 x4 a1 0.3751 x50 - x1

0.1287 5.8 x5 a2 0.2574 x49 - x2

0.113 5.8 x6 a3 0.226 x48 - x3

0.1016 5.8 x7 a4 0.2032 x47 - x4

0.07388 5.8 x8 a5 0.1847 x46 - x5

0.05073 5.8 x9 a6 0.1691 x45 - x6

0.04662 5.8 x10 a7 0.1554 x44 - x7

0.0429 5.8 x11 a8 0.143 x43 - x8

0.03951 5.8 x12 a9 0.1317 x42 - x9

0.03636 5.8 x13 a10 0.1212 x41 - x10

0.03339 5.8 x14 a11 0.1113 x40 - x11

0.0204 5.8 x15 a12 0.102 x39 - x12

0.01864 5.8 x16 a13 0.0932 x38 - x13

0.01692 5.8 x17 a14 0.0846 x37 - x14

0.01528 5.8 x18 a15 0.0764 x36 - x15

0.0137 5.8 x19 a16 0.0685 x35 - x16

0.01216 5.8 x20 a17 0.0608 x34 - x17

0.00532 5.8 x21 a18 0.0532 x33 - x18

0.00459 5.9 x22 a19 0.0459 x32 - x19

0.00386 5.9 x23 a20 0.0386 x31 - x20

0.00314 5.9 x24 a21 0.0314 x30 - x21

0.00244 5.9 x25 a22 0.0244 x29 - x22

0.00174 5.9 x26 a23 0.0174 x28 - x23

0.00104 5.9 x27 a24 0.0104 x27 - x24

0 6 x28 a25 0.0035 x26 - x25

1.04849 6 x296 x30

0.02403673 6.1 x31 Varianza 0.253881636.1 x32 Sumatoria 3.010796.7 x33 1/[(n-1)*S^2] 0.080384566.7 x34 W=1/[(n-1)*S 0.728674496.7 x356.8 x366.8 x376.9 x386.9 x396.9 x40

Page 25: Calculo de Shapiro-Wilks

6.9 x416.9 x426.9 x436.9 x446.9 x456.9 x466.9 x476.9 x487 x497.0 x50

Page 26: Calculo de Shapiro-Wilks

Orden 3 m a M5.1 n

5.4 50

diff diff*a 5.51.3 0.48763 5.6 a1 0.3751 1.3 0.33462 5.6 a2 0.2574

1.2 0.2712 5.6 a3 0.226

1.1 0.22352 5.6 a4 0.2032

1.1 0.20317 5.6 a5 0.1847

1.1 0.18601 5.6 a6 0.1691

1.1 0.17094 5.6 a7 0.1554

1.1 0.1573 5.7 a8 0.143

1.1 0.14487 5.7 a9 0.1317

1.1 0.13332 5.7 a10 0.1212

1.1 0.12243 5.7 a11 0.1113

1.1 0.1122 5.7 a12 0.102

1.1 0.10252 5.7 a13 0.0932

1.0 0.0846 5.8 a14 0.0846

1.0 0.0764 5.8 a15 0.0764

0.9 0.06165 5.8 a16 0.0685

0.9 0.05472 5.8 a17 0.0608

0.9 0.04788 5.8 a18 0.0532

0.3 0.01377 5.8 a19 0.0459

0.3 0.01158 5.8 a20 0.0386

0.2 0.00628 5.8 a21 0.0314

0.1 0.00244 5.8 a22 0.0244

0.1 0.00174 5.8 a23 0.0174

0.0 0 5.8 a24 0.0104

0.0 0 5.8 a25 0.0035

Sumatoria 3.01079 5.85.9

0.50386668 0.25388163 5.9 Varianza

5.9 Sumatoria

5.9 1/[(n-1)*S^2]5.9 W=1/[(n-1)*S6.0666.16.26.2

Page 27: Calculo de Shapiro-Wilks

6.36.46.76.86.86.86.86.96.96.9

Page 28: Calculo de Shapiro-Wilks

Orden 4 m a M5.7 n

5.7 50

diff diff*a 5.7x50 - x1 1.8 0.67518 5.7 a1 0.3751x49 - x2 1.5 0.3861 5.7 a2 0.2574x48 - x3 1.4 0.3164 5.7 a3 0.226x47 - x4 1.2 0.24384 5.7 a4 0.2032x46 - x5 1.2 0.22164 5.7 a5 0.1847x45 - x6 1.2 0.20292 5.7 a6 0.1691x44 - x7 1.2 0.18648 5.7 a7 0.1554x43 - x8 1.1 0.1573 5.7 a8 0.143x42 - x9 0.8 0.10536 5.7 a9 0.1317

x41 - x10 0.7 0.08484 5.7 a10 0.1212x40 - x11 0.5 0.05565 5.7 a11 0.1113x39 - x12 0.5 0.051 5.7 a12 0.102x38 - x13 0.4 0.03728 5.7 a13 0.0932x37 - x14 0.3 0.02538 5.8 a14 0.0846x36 - x15 0.3 0.02292 5.8 a15 0.0764x35 - x16 0.3 0.02055 5.8 a16 0.0685x34 - x17 0.1 0.00608 5.8 a17 0.0608x33 - x18 0.1 0.00532 5.8 a18 0.0532x32 - x19 0.1 0.00459 5.8 a19 0.0459x31 - x20 0.1 0.00386 5.8 a20 0.0386x30 - x21 0.1 0.00314 5.8 a21 0.0314x29 - x22 0.0 0 5.8 a22 0.0244x28 - x23 0.0 0 5.8 a23 0.0174x27 - x24 0.0 0 5.8 a24 0.0104x26 - x25 0.0 0 5.8 a25 0.0035

Sumatoria 2.81583 5.85.8

0.19179184 0.43794045 0.19179184 5.82.81583 5.8

0.10640788 5.80.84369731 5.8

5.85.85.85.95.96

Page 29: Calculo de Shapiro-Wilks

666666.16.16.36.46.4

Page 30: Calculo de Shapiro-Wilks

Orden 5 m a M5.7 x1 n

5.7 x2 40

diff diff*a 5.7 x3 x50 - x1 0.7 0.26257 5.7 x4 a1

x49 - x2 0.7 0.18018 5.7 x5 a2x48 - x3 0.6 0.1356 5.8 x6 a3x47 - x4 0.4 0.08128 5.8 x7 a4x46 - x5 0.4 0.07388 5.8 x8 a5x45 - x6 0.3 0.05073 5.8 x9 a6x44 - x7 0.3 0.04662 5.8 x10 a7x43 - x8 0.3 0.0429 5.8 x11 a8x42 - x9 0.3 0.03951 5.8 x12 a9

x41 - x10 0.3 0.03636 5.8 x13 a10x40 - x11 0.3 0.03339 5.8 x14 a11x39 - x12 0.2 0.0204 5.8 x15 a12x38 - x13 0.2 0.01864 5.8 x16 a13x37 - x14 0.1 0.00846 5.8 x17 a14x36 - x15 0.1 0.00764 5.8 x18 a15x35 - x16 0.1 0.00685 5.8 x19 a16x34 - x17 0.0 0 5.8 x20 a17x33 - x18 0.0 0 5.8 x21 a18x32 - x19 0.0 0 5.8 x22 a19x31 - x20 0.0 0 5.8 x23 a20x30 - x21 0.0 0 5.8 x24x29 - x22 0.0 0 5.8 x25x28 - x23 0.0 0 5.8 x26x27 - x24 0.0 0 5.8 x27x26 - x25 0.0 0 5.8 x28

Sumatoria 1.04501 5.8 x295.9 x30

Varianza 0.03024082 0.17389887 0.03024082 5.9 x31Sumatoria 1.04501 5.9 x32

1/[(n-1)*S^2] 0.67485491 5.9 x33W=1/[(n-1)*S 0.73697253 5.9 x34

5.9 x355.9 x366 x376.1 x386.2 x396.5 x40

Page 31: Calculo de Shapiro-Wilks

diff diff*a0.3964 x40 - x1 0.8 0.317120.2737 x39 - x2 0.5 0.136850.2368 x38 - x3 0.4 0.094720.2098 x37 - x4 0.3 0.062940.1878 x36 - x5 0.2 0.037560.1691 x35 - x6 0.1 0.016910.1526 x34 - x7 0.1 0.015260.1536 x33 - x8 0.1 0.015360.1237 x32 - x9 0.1 0.012370.1108 x31 - x10 0.1 0.011080.0986 x30 - x11 0.1 0.009860.087 x29 - x12 0.0 0

0.0759 x28 - x13 0.0 00.0651 x27 - x14 0.0 00.0546 x26 - x15 0.0 00.0444 x25 - x16 0.0 00.0343 x24 - x17 0.0 00.0244 x23 - x18 0.0 00.0146 x22 - x19 0.0 00.0049 x21 - x20 0.0 0

Sumatoria 0.73003

Varianza 0.021 0.14491377 0.021Sumatoria 0.73003

1/[(n-50)*S^2 0.9718173W=1/[(n-50)* 0.517924

Page 32: Calculo de Shapiro-Wilks

Orden m a M0.5 x1 n

0.6 x2 50

0.6 x3 diff0.6 x4 a1 0.3751 x50 - x1 60.6 x5 a2 0.2574 x49 - x2 5.60.6 x6 a3 0.226 x48 - x3 5.30.6 x7 a4 0.2032 x47 - x4 5.20.6 x8 a5 0.1847 x46 - x5 5.10.6 x9 a6 0.1691 x45 - x6 2.30.6 x10 a7 0.1554 x44 - x7 1.80.6 x11 a8 0.143 x43 - x8 0.80.6 x12 a9 0.1317 x42 - x9 0.70.7 x13 a10 0.1212 x41 - x10 0.50.7 x14 a11 0.1113 x40 - x11 0.40.7 x15 a12 0.102 x39 - x12 0.40.7 x16 a13 0.0932 x38 - x13 0.30.7 x17 a14 0.0846 x37 - x14 0.30.7 x18 a15 0.0764 x36 - x15 0.30.7 x19 a16 0.0685 x35 - x16 0.20.7 x20 a17 0.0608 x34 - x17 0.20.8 x21 a18 0.0532 x33 - x18 0.20.8 x22 a19 0.0459 x32 - x19 0.20.8 x23 a20 0.0386 x31 - x20 0.20.8 x24 a21 0.0314 x30 - x21 0.10.8 x25 a22 0.0244 x29 - x22 0.00.8 x26 a23 0.0174 x28 - x23 0.00.8 x27 a24 0.0104 x27 - x24 0.00.8 x28 a25 0.0035 x26 - x25 0.00.8 x29 Sumatoria0.9 x300.9 x31 Varianza 2.608265306 1.615012480.9 x32 Sumatoria 8.042410.9 x33 1/[(n-1)*S^2] 0.007824420.9 x34 W=1/[(n-1)*S 0.5060862920.9 x351 x361 x371 x381 x391 x401.1 x411.3 x421.4 x43

Page 33: Calculo de Shapiro-Wilks

2.4 x442.9 x455.7 x465.8 x475.9 x486.2 x496.5 x50

Page 34: Calculo de Shapiro-Wilks

Orden 2 m a M0.3 x1 n

0.4 x2 50

diff*a 0.5 x32.2506 0.5 x4 a1 0.3751

1.44144 0.6 x5 a2 0.2574

1.1978 0.6 x6 a3 0.226

1.05664 0.6 x7 a4 0.2032

0.94197 0.6 x8 a5 0.1847

0.38893 0.6 x9 a6 0.1691

0.27972 0.6 x10 a7 0.1554

0.1144 0.6 x11 a8 0.143

0.09219 0.6 x12 a9 0.1317

0.0606 0.6 x13 a10 0.1212

0.04452 0.6 x14 a11 0.1113

0.0408 0.6 x15 a12 0.102

0.02796 0.6 x16 a13 0.0932

0.02538 0.6 x17 a14 0.0846

0.02292 0.6 x18 a15 0.0764

0.0137 0.6 x19 a16 0.0685

0.01216 0.6 x20 a17 0.0608

0.01064 0.6 x21 a18 0.0532

0.00918 0.6 x22 a19 0.0459

0.00772 0.6 x23 a20 0.0386

0.00314 0.6 x24 a21 0.0314

0 0.6 x25 a22 0.0244

0 0.6 x26 a23 0.0174

0 0.7 x27 a24 0.0104

0 0.7 x28 a25 0.0035

8.04241 0.7 x290.7 x30

2.60826531 127.805 0.7 x310.506086292 0.7 x32

0.7 x330.7 x340.7 x350.8 x360.8 x370.8 x380.8 x390.8 x400.9 x411 x421.1 x43

Page 35: Calculo de Shapiro-Wilks

1.3 x441.5 x451.8 x462.3 x472.5 x482.5 x495.8 x50

Page 36: Calculo de Shapiro-Wilks

Orden 3 m a M0.4 x10.5 x2

diff diff*a 0.5 x3 x50 - x1 5.5 2.06305 0.5 x4

x49 - x2 2.1 0.54054 0.5 x5x48 - x3 2.0 0.452 0.5 x6x47 - x4 1.8 0.36576 0.6 x7x46 - x5 1.2 0.22164 0.6 x8x45 - x6 0.9 0.15219 0.6 x9x44 - x7 0.7 0.10878 0.6 x10x43 - x8 0.5 0.0715 0.6 x11x42 - x9 0.4 0.05268 0.6 x12

x41 - x10 0.3 0.03636 0.6 x13x40 - x11 0.2 0.02226 0.6 x14x39 - x12 0.2 0.0204 0.6 x15x38 - x13 0.2 0.01864 0.6 x16x37 - x14 0.2 0.01692 0.6 x17x36 - x15 0.2 0.01528 0.6 x18x35 - x16 0.1 0.00685 0.6 x19x34 - x17 0.1 0.00608 0.6 x20x33 - x18 0.1 0.00532 0.6 x21x32 - x19 0.1 0.00459 0.6 x22x31 - x20 0.1 0.00386 0.6 x23x30 - x21 0.1 0.00314 0.6 x24x29 - x22 0.1 0.00244 0.6 x25x28 - x23 0.1 0.00174 0.6 x26x27 - x24 0.1 0.00104 0.6 x27x26 - x25 0.0 0 0.6 x28

Sumatoria 4.19306 0.7 x290.7 x30

Varianza 0.73007755 0.85444576 0.73007755 0.7 x31Sumatoria 4.19306 0.7 x32

1/[(n-1)*S^2] 0.02795342 0.7 x33W=1/[(n-1)*S 0.49147007 0.7 x34

0.7 x350.7 x360.7 x370.7 x380.7 x390.7 x400.7 x410.7 x420.8 x43

Page 37: Calculo de Shapiro-Wilks

0.8 x440.8 x450.8 x460.9 x470.9 x480.9 x491.1 x50

Page 38: Calculo de Shapiro-Wilks

n50

diff diff*aa1 0.3751 x50 - x1 0.7 0.26257a2 0.2574 x49 - x2 0.4 0.10296a3 0.226 x48 - x3 0.4 0.0904a4 0.2032 x47 - x4 0.4 0.08128a5 0.1847 x46 - x5 0.3 0.05541a6 0.1691 x45 - x6 0.3 0.05073a7 0.1554 x44 - x7 0.2 0.03108a8 0.143 x43 - x8 0.2 0.0286a9 0.1317 x42 - x9 0.1 0.01317

a10 0.1212 x41 - x10 0.1 0.01212a11 0.1113 x40 - x11 0.1 0.01113a12 0.102 x39 - x12 0.1 0.0102a13 0.0932 x38 - x13 0.1 0.00932a14 0.0846 x37 - x14 0.1 0.00846a15 0.0764 x36 - x15 0.1 0.00764a16 0.0685 x35 - x16 0.1 0.00685a17 0.0608 x34 - x17 0.1 0.00608a18 0.0532 x33 - x18 0.1 0.00532a19 0.0459 x32 - x19 0.1 0.00459a20 0.0386 x31 - x20 0.1 0.00386a21 0.0314 x30 - x21 0.1 0.00314a22 0.0244 x29 - x22 0.1 0.00244a23 0.0174 x28 - x23 0.0 0a24 0.0104 x27 - x24 0.0 0a25 0.0035 x26 - x25 0.0 0

Sumatoria 0.80735

Varianza 0.01513878 0.12303973 0.01513878Sumatoria 0.80735

1/[(n-1)*S^2] 1.34807226W=1/[(n-1)*S 0.8786924

Page 39: Calculo de Shapiro-Wilks

Orden 4 m a M0.5 x1 n

0.5 x2 50

0.5 x3 diff diff*a0.5 x4 a1 0.3751 x50 - x1 1 0.37510.5 x5 a2 0.2574 x49 - x2 0.5 0.12870.5 x6 a3 0.226 x48 - x3 0.3 0.06780.5 x7 a4 0.2032 x47 - x4 0.3 0.060960.5 x8 a5 0.1847 x46 - x5 0.3 0.055410.5 x9 a6 0.1691 x45 - x6 0.3 0.050730.5 x10 a7 0.1554 x44 - x7 0.3 0.046620.6 x11 a8 0.143 x43 - x8 0.3 0.04290.6 x12 a9 0.1317 x42 - x9 0.3 0.039510.6 x13 a10 0.1212 x41 - x10 0.3 0.036360.6 x14 a11 0.1113 x40 - x11 0.1 0.011130.6 x15 a12 0.102 x39 - x12 0.1 0.01020.6 x16 a13 0.0932 x38 - x13 0.1 0.009320.6 x17 a14 0.0846 x37 - x14 0.1 0.008460.6 x18 a15 0.0764 x36 - x15 0.1 0.007640.6 x19 a16 0.0685 x35 - x16 0.1 0.006850.6 x20 a17 0.0608 x34 - x17 0.1 0.006080.6 x21 a18 0.0532 x33 - x18 0.1 0.005320.6 x22 a19 0.0459 x32 - x19 0.1 0.004590.6 x23 a20 0.0386 x31 - x20 0.1 0.003860.6 x24 a21 0.0314 x30 - x21 0.1 0.003140.6 x25 a22 0.0244 x29 - x22 0.1 0.002440.6 x26 a23 0.0174 x28 - x23 0.0 00.6 x27 a24 0.0104 x27 - x24 0.0 00.6 x28 a25 0.0035 x26 - x25 0.0 00.7 x29 Sumatoria 0.983120.7 x300.7 x31 Varianza 0.02689388 0.16399353 0.026893880.7 x32 Sumatoria 0.983120.7 x33 1/[(n-1)*S^2] 0.758840490.7 x34 W=1/[(n-1)*S 0.733438260.7 x350.7 x360.7 x370.7 x380.7 x390.7 x400.8 x410.8 x420.8 x43

Page 40: Calculo de Shapiro-Wilks

0.8 x440.8 x450.8 x460.8 x470.8 x481 x491.5 x50

Page 41: Calculo de Shapiro-Wilks

Orden 5 m a M0.5 x1 n

0.5 x2 40

0.5 x30.5 x4 a1 0.3964 0.6 x5 a2 0.2737

0.6 x6 a3 0.2368

0.6 x7 a4 0.2098

0.6 x8 a5 0.1878

0.6 x9 a6 0.1691

0.6 x10 a7 0.1526

0.6 x11 a8 0.1536

0.6 x12 a9 0.1237

0.6 x13 a10 0.1108

0.6 x14 a11 0.0986

0.6 x15 a12 0.087

0.6 x16 a13 0.0759

0.6 x17 a14 0.0651

0.6 x18 a15 0.0546

0.6 x19 a16 0.0444

0.7 x20 a17 0.0343

0.7 x21 a18 0.0244

0.7 x22 a19 0.0146

0.7 x23 a20 0.0049

0.7 x240.7 x250.7 x260.7 x270.7 x280.7 x290.7 x300.7 x310.7 x32 Varianza

0.8 x33 Sumatoria

0.8 x34 1/[(n-50)*S^20.8 x35 W=1/[(n-50)*0.8 x360.8 x370.8 x380.9 x392.4 x40

Page 42: Calculo de Shapiro-Wilks

diff diff*ax40 - x1 1.9 0.75316x39 - x2 0.4 0.10948x38 - x3 0.3 0.07104x37 - x4 0.3 0.06294x36 - x5 0.2 0.03756x35 - x6 0.2 0.03382x34 - x7 0.2 0.03052x33 - x8 0.2 0.03072x32 - x9 0.1 0.01237

x31 - x10 0.1 0.01108x30 - x11 0.1 0.00986x29 - x12 0.1 0.0087x28 - x13 0.1 0.00759x27 - x14 0.1 0.00651x26 - x15 0.1 0.00546x25 - x16 0.1 0.00444x24 - x17 0.1 0.00343x23 - x18 0.1 0.00244x22 - x19 0.1 0.00146x21 - x20 0.0 0

Sumatoria 1.20258

0.08458974 0.29084316 0.084589741.20258

0.29554410.42741549

Page 43: Calculo de Shapiro-Wilks

Orden m a M2 x1 n

4 x2 50

14 x3 diff diff*a15 x4 a1 0.3751 x50 - x1 459 172.170915 x5 a2 0.2574 x49 - x2 362 93.178820 x6 a3 0.226 x48 - x3 306.0 69.15621 x7 a4 0.2032 x47 - x4 259.0 52.628823 x8 a5 0.1847 x46 - x5 238.0 43.958623 x9 a6 0.1691 x45 - x6 212.0 35.849224.3 x10 a7 0.1554 x44 - x7 173.0 26.884225 x11 a8 0.143 x43 - x8 166.0 23.73828 x12 a9 0.1317 x42 - x9 141.0 18.569728 x13 a10 0.1212 x41 - x10 138.7 16.8104432 x14 a11 0.1113 x40 - x11 130.0 14.46934 x15 a12 0.102 x39 - x12 106.0 10.81235 x16 a13 0.0932 x38 - x13 68.0 6.337636 x17 a14 0.0846 x37 - x14 61.0 5.160637 x18 a15 0.0764 x36 - x15 54.0 4.125638 x19 a16 0.0685 x35 - x16 48.0 3.28838 x20 a17 0.0608 x34 - x17 35.0 2.12839 x21 a18 0.0532 x33 - x18 27.0 1.436442 x22 a19 0.0459 x32 - x19 25.0 1.147542 x23 a20 0.0386 x31 - x20 23.0 0.887842 x24 a21 0.0314 x30 - x21 19.0 0.596644 x25 a22 0.0244 x29 - x22 15.0 0.36647 x26 a23 0.0174 x28 - x23 12.0 0.208854 x27 a24 0.0104 x27 - x24 12.0 0.124854 x28 a25 0.0035 x26 - x25 3.0 0.010557 x29 Sumatoria 604.0438458 x3061 x31 Varianza 10070.7969 100.35336 10070.796963 x32 Sumatoria 604.0438464 x33 1/[(n-1)*S^2]2.02647E-0671 x34 W=1/[(n-1)*S 0.7393958483 x3588 x3693 x3796 x38134 x39155 x40163 x41164 x42189 x43

Page 44: Calculo de Shapiro-Wilks

194 x44232 x45253 x46274 x47320 x48366 x49461 x50

Page 45: Calculo de Shapiro-Wilks

Orden m a M6 n

7 50

1314 a1 0.3751 x50 - x1

15 a2 0.2574 x49 - x2

16 a3 0.226 x48 - x3

16 a4 0.2032 x47 - x4

16 a5 0.1847 x46 - x5

17 a6 0.1691 x45 - x6

17 a7 0.1554 x44 - x7

18 a8 0.143 x43 - x8

18 a9 0.1317 x42 - x9

18 a10 0.1212 x41 - x10

18 a11 0.1113 x40 - x11

18 a12 0.102 x39 - x12

19 a13 0.0932 x38 - x13

19 a14 0.0846 x37 - x14

19 a15 0.0764 x36 - x15

22 a16 0.0685 x35 - x16

23 a17 0.0608 x34 - x17

23 a18 0.0532 x33 - x18

23 a19 0.0459 x32 - x19

24 a20 0.0386 x31 - x20

25 a21 0.0314 x30 - x21

26 a22 0.0244 x29 - x22

26 a23 0.0174 x28 - x23

27 a24 0.0104 x27 - x24

27 a25 0.0035 x26 - x25

282929 Varianza 763.23428630 Sumatoria 166.181431 1/[(n-1)*S^2]2.67391E-0531 W=1/[(n-1)*S 0.73843262313232323446465356

Page 46: Calculo de Shapiro-Wilks

6175819399100145

Page 47: Calculo de Shapiro-Wilks

Orden m a M0 n

7 50

diff diff*a 8139 52.1389 8 a1 0.3751

93 23.9382 9 a2 0.2574

86.0 19.436 12 a3 0.226

79.0 16.0528 13 a4 0.2032

66.0 12.1902 14 a5 0.1847

59.0 9.9769 14 a6 0.1691

45.0 6.993 15 a7 0.1554

40.0 5.72 15 a8 0.143

36.0 4.7412 15 a9 0.1317

29.0 3.5148 15 a10 0.1212

28.0 3.1164 17 a11 0.1113

16.0 1.632 18 a12 0.102

14.0 1.3048 18 a13 0.0932

14.0 1.1844 19 a14 0.0846

14.0 1.0696 19 a15 0.0764

12.0 0.822 20 a16 0.0685

12.0 0.7296 21 a17 0.0608

12.0 0.6384 22 a18 0.0532

8.0 0.3672 22 a19 0.0459

6.0 0.2316 22 a20 0.0386

6.0 0.1884 23 a21 0.0314

5.0 0.122 23 a22 0.0244

3.0 0.0522 23 a23 0.0174

2.0 0.0208 24 a24 0.0104

0.0 0 24 a25 0.0035

Sumatoria 166.1814 2626

27.6266952 763.234286 27272728303132343434363737

Page 48: Calculo de Shapiro-Wilks

41434958749296

Page 49: Calculo de Shapiro-Wilks

Orden m a M4 x15 x2

diff diff*a 8 x3 x50 - x1 96 36.0096 10 x4

x49 - x2 85 21.879 10 x5x48 - x3 66.0 14.916 11 x6x47 - x4 50.0 10.16 11 x7x46 - x5 40.0 7.388 11 x8x45 - x6 31.0 5.2421 12 x9x44 - x7 28.0 4.3512 12 x10x43 - x8 23.0 3.289 13 x11x42 - x9 23.0 3.0291 14 x12

x41 - x10 21.0 2.5452 14 x13x40 - x11 19.0 2.1147 15 x14x39 - x12 19.0 1.938 15 x15x38 - x13 19.0 1.7708 15 x16x37 - x14 15.0 1.269 15 x17x36 - x15 13.0 0.9932 16 x18x35 - x16 12.0 0.822 17 x19x34 - x17 9.0 0.5472 17 x20x33 - x18 8.0 0.4256 18 x21x32 - x19 7.0 0.3213 18 x22x31 - x20 6.0 0.2316 18 x23x30 - x21 4.0 0.1256 19 x24x29 - x22 4.0 0.0976 20 x25x28 - x23 2.0 0.0348 21 x26x27 - x24 1.0 0.0104 21 x27x26 - x25 0.0 0 23 x28

Sumatoria 119.511 24 x2926 x30

Varianza 360.86081633 18.9963369 360.860816 27 x31Sumatoria 119.511 29 x32

1/[(n-1)*S^2] 5.655411E-05 31 x33W=1/[(n-1)*S0.8077555551 32 x34

32 x3533 x3635 x3737 x3839 x3939 x4040 x4148 x4253 x43

Page 50: Calculo de Shapiro-Wilks

55 x4456 x4557 x4666 x4774 x48117 x49134 x50

Page 51: Calculo de Shapiro-Wilks

n50

diff diff*aa1 0.3751 x50 - x1 130 48.763a2 0.2574 x49 - x2 112 28.8288a3 0.226 x48 - x3 66.0 14.916a4 0.2032 x47 - x4 56.0 11.3792a5 0.1847 x46 - x5 47.0 8.6809a6 0.1691 x45 - x6 45.0 7.6095a7 0.1554 x44 - x7 44.0 6.8376a8 0.143 x43 - x8 42.0 6.006a9 0.1317 x42 - x9 36.0 4.7412

a10 0.1212 x41 - x10 28.0 3.3936a11 0.1113 x40 - x11 26.0 2.8938a12 0.102 x39 - x12 25.0 2.55a13 0.0932 x38 - x13 23.0 2.1436a14 0.0846 x37 - x14 20.0 1.692a15 0.0764 x36 - x15 18.0 1.3752a16 0.0685 x35 - x16 17.0 1.1645a17 0.0608 x34 - x17 17.0 1.0336a18 0.0532 x33 - x18 15.0 0.798a19 0.0459 x32 - x19 12.0 0.5508a20 0.0386 x31 - x20 10.0 0.386a21 0.0314 x30 - x21 8.0 0.2512a22 0.0244 x29 - x22 6.0 0.1464a23 0.0174 x28 - x23 5.0 0.087a24 0.0104 x27 - x24 2.0 0.0208a25 0.0035 x26 - x25 1.0 0.0035

Sumatoria 156.2522

Varianza 659.74734694 25.6855474 659.747347Sumatoria 156.2522

1/[(n-1)*S^2] 3.09333E-05W=1/[(n-1)*S0.7552288107

Page 52: Calculo de Shapiro-Wilks

Orden m a M5 n

6 40

6 diff diff*a8 a1 0.3964 x40 - x1 231.0 91.56848 a2 0.2737 x39 - x2 111.0 30.38078 a3 0.2368 x38 - x3 106.0 25.10089 a4 0.2098 x37 - x4 91.0 19.091810 a5 0.1878 x36 - x5 48.0 9.014410 a6 0.1691 x35 - x6 42.0 7.102210 a7 0.1526 x34 - x7 37.0 5.646211 a8 0.1536 x33 - x8 24.0 3.686411 a9 0.1237 x32 - x9 19.0 2.350311 a10 0.1108 x31 - x10 15.0 1.66211 a11 0.0986 x30 - x11 14.0 1.380411 a12 0.087 x29 - x12 13.0 1.13113 a13 0.0759 x28 - x13 8.0 0.607213 a14 0.0651 x27 - x14 8.0 0.520813 a15 0.0546 x26 - x15 8.0 0.436814 a16 0.0444 x25 - x16 5.0 0.22215 a17 0.0343 x24 - x17 5.0 0.171515 a18 0.0244 x23 - x18 5.0 0.12218 a19 0.0146 x22 - x19 4.0 0.058418 a20 0.0049 x21 - x20 0.0 018181919192425 Sumatoria 200.25332829 Varianza 1848.4814103 42.9939695 1848.4814134 Sumatoria 200.253346 1/[(n-50)*S^2 1.10405E-0550 W=1/[(n-50)*0.44273942415699112117236

Page 53: Calculo de Shapiro-Wilks

2549.44118

15.7294801