... Statistical Descriptionof Data
Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5)
Copyright (C) 1988-1992 by Cambridge University Press.Programs Copyright ... of integer powers
of the values.
Best known is the mean of the values x
1
, ,x
N
,
x=
1
N
N
j=1
x
j
(14.1.1)
which estimates the value around which central clustering occurs. Note the use of
an ... 1974,
Applied Statistics: Analysis of Variance and Regression
(New
York: Wiley).
14.1 Moments of a Distribution: Mean,
Variance, Skewness, and So Forth
When a set of values has a sufficientlystrongcentral...
... Statistical Descriptionof Data
Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5)
Copyright (C) 1988-1992 by Cambridge University Press.Programs Copyright ... of integer powers
of the values.
Best known is the mean of the values x
1
, ,x
N
,
x=
1
N
N
j=1
x
j
(14.1.1)
which estimates the value around which central clustering occurs. Note the use of
an ... the mean is not the only available estimator of this
614
Chapter 14. Statistical Descriptionof Data
Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5)
Copyright...
... for computing the mean and variance
of a set of numbers,
620
Chapter 14. Statistical Descriptionof Data
Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5)
Copyright ... Statistical Descriptionof Data
Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5)
Copyright (C) 1988-1992 by Cambridge University Press.Programs Copyright ... Statistical Descriptionof Data
Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5)
Copyright (C) 1988-1992 by Cambridge University Press.Programs Copyright...
... collected in such a way that the sum of the R
i
’s is necessarily
equal to the sum of S
i
’s, then the number of degrees of freedom is equal to one
less than the number of bins, N
B
− 1 (that is, knstrn ... then the number of degrees of freedom is N
B
− 1. If he takes his data to
be all the birds he saw on a random sample of days, the same days in each year, then
the number of degrees of freedom is ... of freedom. Of course, any additional constraints on
the data set lower the number of degrees of freedom (i.e., increase knstrn to more
positive values) in accordance with their number.
The program...
... . .
1.
red
# of
red males
N
11
# of
red females
N
21
# of
green females
N
22
# of
green males
N
12
# of
males
N
1
⋅
# of
females
N
2
⋅
2.
green
# of red
N
⋅
1
# of green
N
⋅
2
total ... entropy
hx
of the x distribution, the
entropy
hy
of the y distribution, the entropy
hygx
of y given x,theentropy
hxgy
of x given y,
the dependency
uygx
of y on x (eq. 14.4.15), the dependency
uxgy
of ... number of events, the sum of all the N
ij
’s. Let N
i·
denote the number of events for which the first variable x takes on its ith value
regardless of the value of y; N
·j
is the number of events...
... Statistical Descriptionof Data
Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5)
Copyright (C) 1988-1992 by Cambridge University Press.Programs Copyright ... respectively, the number of data points in the measurement of r
1
and r
2
.
All of the significances above are two-sided. If you wish to disprove the null
hypothesis in favor of a one-sided hypothesis, ... Statistical Descriptionof Data
Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5)
Copyright (C) 1988-1992 by Cambridge University Press.Programs Copyright...
... relative ordering
of the ranks of the two x’s is opposite from the relative ordering of the ranks of the
two y’s. If there is a tie in either the ranks of the two x’s or the ranks of the two
y’s, ... (j=1;j<=n;j++) Sum the squared difference of ranks.
*d += SQR(wksp1[j]-wksp2[j]);
642
Chapter 14. Statistical Descriptionof Data
Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN ... concept of nonparametric correlation is this: If we replace the value
of each x
i
by the value of its rank among all the other x
i
’s in the sample, that
is, 1, 2, 3, ,N, then the resulting list of...
... Statistical Descriptionof Data
Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5)
Copyright (C) 1988-1992 by Cambridge University Press.Programs Copyright ... tabulate Monte Carlo results for (what amounts to) the
distribution of D as a function of (of course) D,samplesizeN, and coefficient of correlation
r. Analyzing their results, one finds that the significance ... Statistical Descriptionof Data
Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5)
Copyright (C) 1988-1992 by Cambridge University Press.Programs Copyright...
... panels.) The widths of the bumps (full width at half of maximum, or FWHM) are
140, 43, 24, 17, 13, and 10, respectively.
The middle panel of Figure 14.8.1 shows the result of smoothing by a moving ... window
average. One seesthat the window of width 33 does quite a nicejob of smoothing the broadest
bump, but that the narrower bumps suffer considerable loss of height and increase of width.
The underlying ... result of smoothing with a Savitzky-Golay filter of the
identical width, and degree M =4. One sees that the heights and widths of the bumps are
quite extraordinarily preserved. A trade-off is...
... melt.
Figure 24. DSC of amorphous Form (sample 26)
Figure 25. XRPD of amorphous Form (sample 26)
Figure 26. DSC of mixture of hydrated Forms I and III (sample
45).
Figure 27. DSC of mixture of anhydrous ... melt of Form VI
22 104 109 5 I Form I to Form II
210 224 30 melt of Form II
24 2 36 9 VI hydrate loss of water
255 266 41 melt of Form VI
25
b
2 22 3 VI hydrate loss of water
258 266 63 melt of ... on the use of XRPD for API
polymorphism analyses include the characterization of three
polymorphic forms of acitretin,
8
the study of a stable polymorph
of paclitaxel,
9
and the study of three...
... Services, Office of the Actuary, National Health Statistics Group; U.S.
Department of Commerce, Bureau of Economic Analysis; and U.S. Bureau of the Census.
11
Soni A. Personal health behaviors ...
instilling behaviors into our young people to prevent or delay the onset of the leading causes of
death in our country.
30
New evaluation of health education research shows promise of having ... Recommendations
of the Task Force on Community Preventive Services. MMWR 2001; 50(No. RR-18).
2
U.S. Department of Health and Human Services. Reducing the health consequences of smoking: 25 years of
progress;...
... Treasury may suspend the
investment of the dollar-balance of the ESF during a debt limit impasse.
Suspending the daily reinvestment of the dollar-balance of the ESF immediately frees up
headroom ... reinvestment of Treasury securities held by the
Exchange Stabilization Fund (ESF).
The ESF has a number of uses, including purchasing or selling foreign currencies. A
portion of the ESF is ... not available or of limited use.
First, although in the past Treasury Secretaries have suspended the issuance of U.S.
savings bonds to the public, doing so now would be of little benefit....
... to the credit of some other customer, who lets it remain on his account.
An increase of loans at such times is often an increase of the liabilities of the bank, not a diminution of its
reserve. ... bills of much fewer people are taken, and even of those suspiciously. In times of good
credit there are a great number of strong purchasers, and in times of bad credit only a smaller number of weak
ones; ... periods of great commercial excitement there is some mixture of the older
and simpler kind of investing mania. Though the money of saving persons is in the hands of banks, and
though, by offering...