tables statistiques1
TRANSCRIPT
APPENDIX B
Statistical Tables
433
Table B-1 Normal Curve Areas
Source: Abridged from Table 1 of Statistical Tables and Formulas, by A. Hald, John Wiley & Sons,1952. Reproduced by permission of John Wiley & Sons.
434
Table B-2 Percentage Points of the �2-Distribution
Source: ‘‘Tables of the Percentage Points of the ��-Distribution,’’ by Catherine M. Thompson,Biometrika, Vol. 32, pp. 188—189 (1941). Reproduced by permission of the editor of Biometrika.
435
Table
B-3
5%Pointsof
the
F-D
istribution
436
437
Table
B-3
2.5%
Pointsof
the
F-D
istribution
438
439
Table
B-3
1%Pointsof
the
F-D
istribution
440
441
Table
B-3
0.5%
Pointsof
the
F-D
istribution
442
Sour
ce:‘‘TablesofPercentage
Points
oftheInverted
Beta
(F)Distribution,’’
byMaxineMerringtonandCatherineM.Thom
pson,
Bio
met
rika,Vol.3 3,p p.7 3
—88
(1943).Reprodu
cedbyperm
ission
oftheeditor
ofB
iom
etrika
.
443
Table B-4 Upper Tail Probabilities for the Null Distribution of the Kruskal--Wallis HStatistic: k � 3, n1� 1(1)5, n2 � n1(1)5, 2� n3 � n2(1)5
444
Table B-4 (continued)
445
Table B-4 (continued)
446
Table B-4 (continued)
447
Table B-4 (continued)
448
Table B-4 (continued)
449
Table B-4 (continued)
450
Table B-4 (continued)
451
Table B-4 (continued)
452
Table B-4 (continued)
453
Table B-4 (continued)
454
Table B-4 (continued)
455
Table B-4 (continued)
456
Table B-4 (continued)
457
Table B-4 (continued)
Source: Table F of A Nonparametric Introduction to Statistics, by C. H. Kraft and C van Eedan,Macmillan, New York, 1968. Reproduced by permission of the Macmillan Publishing Company.
458
Table B-5 Selected Critical Values for All Treatments: Multiple Comparisons Based onKruskal--Wallis Rank Sums
Source: ‘‘Rank Sum Multiple Comparisons in One- and Two-Way Classification,’’ by B. J.McDonald and W. A. Thompson, Biometrika, Vol. 54, pp. 487—497 (1967). Reproduced bypermission of the editor of Biometrika. The starred values are from ‘‘Distribution-Free MultipleComparisons,’’ Ph.D. thesis (1963), P. Nemenyi, Princeton University, with permission of theauthor. 459
Table B-6 Selected Critical Values for the Range of k Independent N(0, 1) Variables:k � 2(1)20(2)40(10)100
For a given k and �, the tabled entry is q(�, k, �).
Source: ‘‘Table of Range and Studentized Range,’’ by H. L. Harter, Ann. Math. Statist., Vol. 31, pp.1122—1147 (1960). Reproduced by permission of the editor of the Annals of MathematicalStatistics.
460
Table B-7 Percentage Points of the t-Distribution
Source: ‘‘Table of Percentage Points of the t-Distribution,’’ by Maxine Merrington, Biometrika,Vol. 32, p. 300 (1941). Reproduced by permission of the editor of Biometrika.
461
Table B-8 Coefficients (ai and bi) of the Best Estimates of the Mean (�) and StandardDeviation (�) in Censored Samples Up to n � 20 from A Normal Population
462
Table B-8 (continued)
463
Table B-8 (continued)
464
Tab
leB-8
(con
tinu
ed)
465
Tab
leB-8
(con
tinu
ed)
466
467
Tab
leB-8
(con
tinu
ed)
468
469
Tab
leB-8
(con
tinu
ed)
470
471
Table
B-8
(con
tinu
ed)
Sour
ce:‘‘E
stimationofLocationandScaleParam
etersby
Order
St atisticsfrom
SinglyandDoubly
CensoredSam
ples,PartsIa ndII,’’byA.E.
Sa rha n
a ndB.G.Gr ee nb er g,
Ann
.M
ath.
Stat
ist.,
Vol.27,pp.427—451
(1956 ).Reproducedby
permissionoftheeditorofthe
Ann
als
ofM
athe
mat
ical
Sta
tist
ics.
472
Table
B-9
Variances
andCovariances
oftheBestLinearEstim
ates
oftheMean(��)
andStanda
rdDeviation
(��)
for
CensoredSa
mples
Upto
Size
20from
aNormal
Population
473
Table
B-9
(con
tinu
ed)
Sour
ce:Upto
n�
15ofthistableisreproducedfrom
A.E
.Sarhan
andB.G
.Greenberg,‘‘E
stimationofLocationandScaleParam
etersbyOrder
Statistics
from
SinglyandCensoredSam
ples,P
artsIandII,’’
Ann
.Mat
h.Sta
tist.,Vol.27,pp.427
—451
(1956),and
Vo l.29 ,pp .7 9
—105
(1958),w
ithperm
ission
ofthe
editorofthe
Ann
alsof
Mat
hem
atic
alSt
atistics.T
herestofthetableisproducedfrom
A.E
.Sarhan
andB.G
.Greenberg,‘‘E
stimationofLocationandScale
Param
etersby
Order
Statisticsfrom
SinglyandDoublyCensoredSamples,PartIII,’’Tech.Rep.4-OOR,Project1597,U.S.Arm
yResearchOffice.
474
Table B-10 1/(1� R) and �� for the Estimation of the Parameters of the GammaDistribution When There Are No Censored Observations
Source: ‘‘Estimation of Parameters of the Gamma Distribution Using Order Statistics,’’ by M. B.Wilk, R. Gnanadesikan, and Marilyn J. Huyett, Biometrika, Vol. 49, pp. 525—545 (1962).Reproduced by permission of the editor of Biometrika.
475
Table B-11 �� (P,S) and �� (P, S) for Various Values of n/r: n/r � 1.0
For P� 0.52 read S from the left-hand margin, and for P � 0.56 read S from the right-handmargin. Note that the figures in region 2 are printed in bold roman type and those in region 3 inbold italic type; the remainder of the table (outside of regions 2 and 3) is region 1.
476
Table B-11 (continued)
477
Table B-11 (continued)
478
Table B-11 (continued)
479
Table B-11 (continued)
480
Table B-11 (continued)
481
Table B-11 (continued)
482
Table B-11 (continued)
483
Table B-11 (continued)
484
Table B-11 (continued)
Source: ‘‘Estimation of Parameters of the Gamma Distribution Using Order Statistics,’’ by M. B.Wilk, R. Gnanadesikan, and Marilyn J. Huyett, Biometrika, Vol. 49, pp. 525—545 (1962).Reproduced by permission of the editor of Biometrika.
485
Table B-12 Percentage Points l� Such That P(�� 1/�� 2 � l�)� 1��
Source: ‘‘Two Sample Test in the Weibull Distribution,’’ by D. R. Thoman and L. J. Bain,Technometrics, Vol. 11, pp. 805—815 (1969). Reproduced by permission of the editor of Techno-metrics.
486
Table B-13 Percentage Points z� Such That P(G� z�)� 1��
Source: ‘‘Two Sample Test in the Weibull Distribution,’’ by D. R. Thoman and L. J. Bain,Technometrics, Vol. 11, pp. 805—815 (1969). Reproduced by permission of the editor of Techno-metrics.
487
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