Statistical Description of Data part 3
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...
Statistical Description of Data part 1
... 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...
Statistical Description of Data part 2
... 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...
Statistical Description of Data part 4
... 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...
Statistical Description of Data part 5
... 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...
Statistical Description of Data part 6
... 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...
Statistical Description of Data part 7
... 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...
Statistical Description of Data part 8
... 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...
Tài liệu Statistical Description of Data part 9 pptx
... 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...
Tài liệu Modeling of Data part 3 docx
... [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...
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