Statistical Description of Data part 3

... significance of a difference of means is not the number of standard deviations that they are apart, but the number of so-called standard errors that they are apart. The standard error of a set of values ... square root of the number of points in the sample. 616 Chapter 14. Statistical Description of Data Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC C...

Ngày tải lên: 24/10/2013, 15:15

... 1-800-872-74 23 (North America only),or send email to trade@cup.cam.ac.uk (outside North America). Chapter 14. Statistical Description of Data 14.0 Introduction In this chapter and the next, the concept of ... in this chapter. 609 610 Chapter 14. Statistical Description of Data Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521- 431 08-5...

Ngày tải lên: 20/10/2013, 17:15

... I 3 = M 3 I 4 = M 4 − 3M 2 2 I 5 = M 5 − 10M 2 M 3 I 6 = M 6 − 15M 2 M 4 − 10M 2 3 +30 M 3 2 (14.1.11) Notice that the skewnessand kurtosis, equations(14.1.5) and (14.1.6) are simple powers of ... significance of a difference of means is not the number of standard deviations that they are apart, but the number of so-called standard errors that they are apart. The standard e...

Ngày tải lên: 24/10/2013, 15:15

... numbers of data points, the formula analogous to (14 .3. 2) is χ 2 =  i (  S/RR i −  R/SS i ) 2 R i + S i (14 .3. 3) where R ≡  i R i S ≡  i S i (14 .3. 4) are the respective numbers of data points. ... the data sets are drawn from the same distribution. Small values of prob show that the cumulative distribution function of data1 is significantly different from that of d...

Ngày tải lên: 28/10/2013, 22:15

... D.A. 1952, Annals of Mathematical Statistics , vol. 23, pp. 1 93 212. [2] Darling, D.A. 1957, Annals of Mathematical Statistics , vol. 28, pp. 8 23 838 . [3] Michael, J.R. 19 83, Biometrika , vol. ... association. In this case, the probability of a particular value of x given a particular value of y should be the same as the probability of that value of x regardless of y. Th...

Ngày tải lên: 28/10/2013, 22:15

... value of the correlation coefficient, and with a standard deviation σ(z) ≈ 1 √ N − 3 (14.5.8) 638 Chapter 14. Statistical Description of Data Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC ... 636 Chapter 14. Statistical Description of Data Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521- 431 08-5) Copyright (C) 19...

Ngày tải lên: 07/11/2013, 19:15

... significance of a nonzero r s .Itis also possible to test the significance of D directly. The expectation value of D in the null hypothesis of uncorrelated data sets is D = 1 6 (N 3 − N) − 1 12  k (f 3 k − ... member of pair, for (k=(j+1);k<=n;k++) { and second member. a1 =data1 [j] -data1 [k]; a2 =data2 [j] -data2 [k]; aa=a1*a2; if (aa) { Neither array has a tie. ++n1; 644...

Ngày tải lên: 07/11/2013, 19:15

... effective D as the average 646 Chapter 14. Statistical Description of Data Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521- 431 08-5) Copyright (C) 1988-1992 by Cambridge ... points. quadct(x1[j],y1[j],x1,y1,n1,&fa,&fb,&fc,&fd); (*quadvl)(x1[j],y1[j],&ga,&gb,&gc,&gd); *d1=FMAX(*d1,fabs(fa-ga)); *d1=FMAX(*d1,fabs(fb...

Ngày tải lên: 07/11/2013, 19:15

... 0 .34 3 0 .37 1 0.257 2 4 0 0.086 −0.1 43 −0.086 0.257 0.886 2 5 5 −0.084 0.021 0.1 03 0.161 0.196 0.207 0.196 0.161 0.1 03 0.021 −0.084 4 4 4 0. 035 −0.128 0.070 0 .31 5 0.417 0 .31 5 0.070 −0.128 0. 035 4 ... 1-800-872-74 23 (North America only),or send email to trade@cup.cam.ac.uk (outside North America). M n L n R Sample Savitzky-Golay Coefficients 2 2 2 −0.086 0 .34 3 0.486 0 .34 3...

Ngày tải lên: 15/12/2013, 04:15

... [1] 15.2 Fitting Data to a Straight Line A concrete example will make the considerations of the previous section more meaningful. We consider the problem of fitting a set of N data points (x i ,y i )to a ... data must introduce some uncertainty in the determination of those parameters. If the data are independent, then each contributes its own bit of uncertainty to the parame...

Ngày tải lên: 15/12/2013, 04:15