Handbook of statistical tables:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Reading, Mass. [u.a.]
Addison-Wesley Publishing Company [u.a.]
1962
|
| Series: | Addison-Wesley Series in Statistics
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XII, 580 Seiten graph. Darst. |
Staff View
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| 100 | 1 | |a Owen, Donald B. |d 1922-1991 |e Verfasser |0 (DE-588)124978673 |4 aut | |
| 245 | 1 | 0 | |a Handbook of statistical tables |c by D. B. Owen, Sandia Corporation |
| 264 | 1 | |a Reading, Mass. [u.a.] |b Addison-Wesley Publishing Company [u.a.] |c 1962 | |
| 300 | |a XII, 580 Seiten |b graph. Darst. | ||
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| 490 | 0 | |a Addison-Wesley Series in Statistics | |
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Record in the Search Index
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|---|---|
| adam_text | CONTENTS
SECTION 1. NORMAL DISTRIBUTION
1.1 The Normal Distribution and Related Functions 1
1.2 Inverse of the Normal Probability Distribution 11
1.3 Extreme Values of the Normal Distribution and Mill s Ratio . 13
1.4 Inverse of the Normal Probability Distribution with Probability
in Multiples of One Half 14
1.5 Operating Characteristics for the Test of a Mean for a Normal
Distribution with Standard Deviation Known 17
1.6 Graphs of Sample Sizes Needed for a Test on the Mean of a Nor¬
mal Distribution with Known Standard Deviation .... 19
1.7 Graphs of Sample Sizes Needed for a Test Comparing the Means
of Two Normal Distributions with Known and Equal Standard
Deviations 23
SECTION 2. STUDENT S f DISTRIBUTION
2.1 Critical Values for Student s i Distribution 27
2.2 Graphs of the Operating Characteristic of Student s i Test . . 31
2.3 Graphs of Sample Sizes Needed for a Test on the Mean of a Nor¬
mal Distribution with Unknown Standard Deviation ... 36
2.4 Graphs of Sample Sizes Needed for a Test Comparing the Means
of Two Normal Distributions with Unknown, but Equal, Stand¬
ard Deviations 41
2.5 Approximate Sample Size for Design of Experiments ... 46
SECTION 3. CHI SQUARE DISTRIBUTION
3.1 Critical Values for the Chi Square Distribution 49
3.2 Operating Characteristics for the Tests on a Standard Deviation
c against a Standard Value cro Based on a 5 Percent Significance
Level 56
3.3 Factors X for Determining Sample Size for Bounds on the End
points of Confidence Intervals on a Standard Deviation from a
Normal Distribution 58
3.4 Critical Values of the Noncentral Chi Square Distribution . . 60
vii
viii
CONTENTS
SECTION 4. F DISTRIBUTION AND MULTIPLE COMPARISON
4.1 Critical Values of the F Distribution 63
4.2 Graphs of the Power of the F Test 88
4.3 Critical Values for the Maximum F Ratio 100
4.4 Critical Values for a Multiple Comparison Test Between p Treat¬
ment Means and a Control 102
4.5 Critical Values of the Duncan Multiple Range Test .... 105
SECTION 5. NONCENTRAL f AND TOLERANCE LIMITS
5.1 Factors for Computing Critical Values of the Noncentral i Dis
tribution 108
5.2 Factors for Computing the Noncentrality Parameter of the Non
central ^ Distribution 113
5.3 One Sided Tolerance Limit Factors for a Normal Distribution . 117
5.4 Two Sided Tolerance Limit Factors for a Normal Distribution . 127
SECTION 6. RANGE, STUDENTIZED RANGE, AND MEAN
SQUARE SUCCESSIVE DIFFERENCE
6.1 Critical Values of the Sample Range from a Normal Distribution 138
6.2 Moments of the Range of a Normal Distribution 140
6.3 Critical Values for the G Test for Testing the Deviation of the
Sample Mean from a Preassigned Value Using the Sample Range 141
6.4 Critical Values for the G Test for Testing the Significance of the
Difference Between the Means of Two Samples of Equal Size . 143
6.5 Critical Values of the Studentized Range from a Normal Distri¬
bution 144
6.6 Critical Values of the Ratio of the Mean Square Successive Dif¬
ference to the Sample Variance 149
SECTION 7. ORDER STATISTICS FROM THE NORMAL
DISTRIBUTION
7.1 Expected Values of Order Statistics from a Normal Distribution 151
7.2 Estimates of the Mean and Standard Deviation in Censored
Samples from a Normal Distribution 155
7.3 Variances and Covariances of Order Statistics in Samples up to
20 from a Normal Population 163
ix
CONTENTS
SECTION 8. MULTIVARIATE NORMAL AND / DISTRIBUTIONS
8.1 Critical Values for the Circular Normal Distribution .... 170
8.2 Offset Circle Probabilities for the Circular Normal Distribution 172
8.3 Distribution of a Quadratic Form in Two Dimensions . . . 181
8.4 Inverse of the Distribution of a Quadratic Form in Two Dimen¬
sions 183
8.5 A Function for Computing Bivariate Normal Probabilities . . 184
8.6 Critical Values for the Spherical Normal Distribution . . . 202
8.7 Distribution of a Quadratic Form in Three Dimensions . . . 204
8.8 Inverse of the Distribution of a Quadratic Form in Three Dimen¬
sions 206
8.9 A Function for Computing Trivariate Normal Probabilities . . 207
8.10 The Maximum of a p Dimensional Normal Distribution with All
Correlations Equal to 0, , or 225
8.11 The Maximum of a p Dimensional Normal Distribution with All
Correlations Equal to 1/[1 + Vp] 230
8.12 Means and Standard Deviations for the Maximum of a p Dimen
sional Normal Distribution with Correlations Equal to 0, J, §, or
1/[1 + Vp] 233
8.13 Critical Values for Testing the General Linear Hypothesis . . 235
8.14 Graphs of Some Upper Percentage Points of the Distribution of
the Largest Characteristic Root 237
8.15 Critical Values of a Bivariate ^ Distribution with p = ±0.5 . 250
SECTION 9. LOGISTIC, POISSON, AND BINOMIAL DISTRIBUTIONS
9.1 The Logistic Probability Distribution 254
9.2 Inverse of the Logistic Probability Distribution 257
9.3 The Cumulative Poisson Distribution 259
9.4 Upper Confidence Limits for the Expectation X of a Poisson Vari¬
able with Small Observed Frequency 262
9.5 The Cumulative Binomial Distribution 264
9.6 Confidence Limits on a Proportion 273
9.7 Confidence Limits on Functions of Binomial Parameters. . . 286
9.8 Arcsine Transformation of 0 or 1 Observed Values .... 293
9.9 Transformation of a Proportion p to 4 = 2 arcsin Vp . . . 296
9.10 Inverse Hyperbolic Sine Transformation 304
9.11 Values of $ for Use with the Inverse Hyperbolic Sine Transfor¬
mation 306
X
CONTENTS
9.12 Inverse of the Double Exponential Extreme Value Distribution 307
9.13 The Borel Tanner Cumulative Distribution 310
SECTION 10. NONPARAMETRIC TOLERANCE LIMITS
10.1 Sample Sizes for One Sided Nonparametric Tolerance Limits . 317
10.2 Values of 1 — (1 — y)1/n 319
10.3 Sample Sizes for Two Sided Nonparametric Tolerance Limits . 321
10.4 Values of 5(X, 7) for Determining Sample Sizes for the Bimbaum
McCarty Distribution Free Upper Confidence Bound for p —
Pr {Y X} 322
10.5 Sample Sizes for the Birnbaum McCarty Distribution Free
Upper Confidence Bound for p — Pr {Y X} for Equal Size
Samples 324
SECTION 11. WILCOXON (MANN WHITNEY) TESTS
11.1 Cumulative Probabilities for the Wilcoxon Matched Pair Signed
Rank Test 325
11.2 Exact Cumulative Frequencies for the Wilcoxon (Mann Whit¬
ney) Two Sample Statistic 331
11.3 Cumulative Probability Distribution for the Wilcoxon (Mann
Whitney) Two Sample Rank Test 340
11.4 Critical Values for the Wilcoxon (Mann Whitney) Two Sample
Statistic 349
11.5 Exact Critical Values for a Nonparametric Sum of Ranks Pro¬
cedure for Relative Spread in Unpaired Samples (also Wilcoxon s
Two Sample Statistic) 354
SECTION 12. SIGN, RUNS, AND QUADRANT TESTS
12.1 Critical Values for the Sign Test and Distribution Free Confi¬
dence Limits on the Median of a Population 362
12.2 Power of the Sign Test with a Two Sided 5 Percent Significance
Level 366
12.3 Distribution Free Confidence Limits on the Quartiles of a Popu¬
lation 367
12.4 Critical Values for the Number of Runs Test for Equal Size
Samples 373
12.5 Critical Values for the Number of Runs Test 377
12.6 Fraction of Arrangements of n Numbers (No Two Alike) With
Runs Up or Down of Length p or More 383
xi
CONTENTS
12.7 Minimum Sample Sizes n such that the Probability Equals P
that the Longest Run on Either Side of the Median Exceeds or
Equals s 386
12.8 Minimum Sample Sizes n such that the Probability Equals P that
the Longest Run on One Side of the Median Exceeds or Equals s 387
12.9 Minimum Sample Sizes n such that the Probability Equals P that
the Longest Runs on Each Side of the Median Both Exceed or
Equal s 388
12.10 Minimum Sample Sizes n such that the Probability Equals P
that the Longest Runs on Each Side of any Cut Both Exceed or
Equals 389
12.11 Probability of r or Fewer Runs of Signs of First Differences in
Ordered Series 390
12.12 Critical Values for Magnitudes of Quadrant Sums .... 392
12.13 Critical Values for Magnitudes of Octant Sums 393
12.14 Limiting Distribution of a Nonparametric Test of Independence 394
SECTION 13. RANK CORRELATION
13.1 Exact Distribution of Kendall s Rank Correlation Coefficient . 396
13.2 Exact Distribution of Spearman s Rank Correlation Coefficient. 400
SECTION 14. NONPARAMETRIC ANALYSIS OF VARIANCE
14.1 Exact Distribution of Friedman s Chi Square Statistic . . . 407
14.2 Kruskal Wallis Distribution (Ranks in One Criterion Variance
Analysis) for Three Samples, Each of Size Five or Less, in the
Neighborhood of the 10 , 5 , and 1 Percent Points .... 420
SECTION 15. KOLMOGOROV SMIRNOV STATISTICS
15.1 Critical Values for the Kolmogorov Smirnov One Sample Sta¬
tistic 423
15.2 Probability Distribution of the Kolmogorov Smirnov One
Sample Statistic 426
15.3 Probability Distribution of the Kolmogorov Smirnov One Sided
Two Sample Statistic 431
15.4 Probability Distribution of the Kolmogorov Smirnov Two
Sample Statistic 434
15.5 Probability Distribution of the Kolmogorov Smirnov Three
Sample Statistic 437
15.6 Limiting Distribution of the Kolmogorov Smirnov D(n) Sta¬
tistic 439
15.7 Limiting Distribution of the Statistic Vn[D+(ri) + D~(n)]. . 441
xii
CONTENTS
SECTION 16. CRAMER VON MISES, AND RANDOM DIVISION
OF AN INTERVAL DISTRIBUTION
16.1 Limiting Distribution of the Cramer von Mises wco2 Statistic . 443
16.2 Sample Sizes Needed with a 5 Percent One Sample Test Using
D+(n), o)2(n), co (n), and iri(2n) to Obtain a Power of 0.95 . . 445
16.3 Critical Values of Sherman s Statistic for the Random Division of
an Interval 447
SECTION 17. MATCHING AND MULTINOMIAL DISTRIBUTIONS
17.1 Probability of h or More Matches 449
17.2 Critical Points for the Number of Occupied Cells in the Multi¬
nomial Distribution with Equally Probable Cells 454
SECTION 18. HYPERGEOMETRIC DISTRIBUTION
18.1 The Hypergeometric Probability Distribution 458
18.2 Critical Values for Testing Two by Two Tables 479
18.3 Number of Cases Required for Comparing Two Proportions . 497
18.4 Critical Values for a Nonparametric Test of Location . . . 499
18.5 Critical Values for a Nonparametric Test of Dispersion . . . 504
SECTION 19. PRODUCT MOMENT CORRELATION COEFFICIENT
19.1 Critical Values for the Product Moment Correlation Coefficient
when p = 0 509
19.2 The Transformation z = tanh~x r for the Correlation Coefficient 511
19.3 Critical Values for the Multiple Correlation Coefficient . . . 513
SECTION 20. ORTHOGONAL POLYNOMIALS, RANDOM
NUMBERS, AND CONSTANTS
20.1 Orthogonal Polynomials 515
20.2 Random Numbers 517
20.3 Special Constants 539
BIBLIOGRAPHY 541
INDEX 555
|
| any_adam_object | 1 |
| author | Owen, Donald B. 1922-1991 |
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| author_facet | Owen, Donald B. 1922-1991 |
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| callnumber-first | H - Social Science |
| callnumber-label | HA48 |
| callnumber-raw | HA48 |
| callnumber-search | HA48 |
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| callnumber-subject | HA - Statistics |
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| ctrlnum | (OCoLC)610885935 (DE-599)BVBBV001919144 |
| dewey-full | 310.84 |
| dewey-hundreds | 300 - Social sciences |
| dewey-ones | 310 - Collections of general statistics |
| dewey-raw | 310.84 |
| dewey-search | 310.84 |
| dewey-sort | 3310.84 |
| dewey-tens | 310 - Collections of general statistics |
| discipline | Mathematik Wirtschaftswissenschaften |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T15:37:13Z |
| institution | BVB |
| language | English |
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| physical | XII, 580 Seiten graph. Darst. |
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| spelling | Owen, Donald B. 1922-1991 Verfasser (DE-588)124978673 aut Handbook of statistical tables by D. B. Owen, Sandia Corporation Reading, Mass. [u.a.] Addison-Wesley Publishing Company [u.a.] 1962 XII, 580 Seiten graph. Darst. txt rdacontent n rdamedia nc rdacarrier Addison-Wesley Series in Statistics Statistique - Tableaux, graphiques, etc Statistik Statistics Statistics Charts, diagrams, etc Statistik (DE-588)4056995-0 gnd rswk-swf Tabelle (DE-588)4184303-4 gnd rswk-swf Statistik (DE-588)4056995-0 s Tabelle (DE-588)4184303-4 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001250814&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Owen, Donald B. 1922-1991 Handbook of statistical tables Statistique - Tableaux, graphiques, etc Statistik Statistics Statistics Charts, diagrams, etc Statistik (DE-588)4056995-0 gnd Tabelle (DE-588)4184303-4 gnd |
| subject_GND | (DE-588)4056995-0 (DE-588)4184303-4 |
| title | Handbook of statistical tables |
| title_auth | Handbook of statistical tables |
| title_exact_search | Handbook of statistical tables |
| title_full | Handbook of statistical tables by D. B. Owen, Sandia Corporation |
| title_fullStr | Handbook of statistical tables by D. B. Owen, Sandia Corporation |
| title_full_unstemmed | Handbook of statistical tables by D. B. Owen, Sandia Corporation |
| title_short | Handbook of statistical tables |
| title_sort | handbook of statistical tables |
| topic | Statistique - Tableaux, graphiques, etc Statistik Statistics Statistics Charts, diagrams, etc Statistik (DE-588)4056995-0 gnd Tabelle (DE-588)4184303-4 gnd |
| topic_facet | Statistique - Tableaux, graphiques, etc Statistik Statistics Statistics Charts, diagrams, etc Tabelle |
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