Using Multivariate Statistics

1061 Pages·2013·25.483 MB·English

by  Tabachnick, Barbara G;Fidell, Linda S

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n Using Multivariate Statistics
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k Barbara G. Tabachnick Linda S. Fidell

F Sixth Edition
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ISBN 978-1-29202-131-7
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9 781292 021317
Using Multivariate Statistics
Barbara G. Tabachnick Linda S. Fidell
Sixth Edition
ISBN 10: 1-292-02131-4
ISBN 13: 978-1-292-02131-7
Pearson Education Limited
Edinburgh Gate
Harlow
Essex CM20 2JE
England and Associated Companies throughout the world
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book by such owners.
ISBN 10: 1-292-02131-4
ISBN 13: 978-1-292-02131-7
British Library Cataloguing-in-Publication Data
A catalogue record for this book is available from the British Library
Printed in the United States of America
1223441234695385181533953355593
P E A R S O N C U S T O M L I B R AR Y
Table of Contents
Appendix: Statistical Tables
Barbara G. Tabachnick/Linda S. Fidell 1
Appendix: Research Designs for Complete Examples
Barbara G. Tabachnick/Linda S. Fidell 15
Appendix: A Skimpy Introduction to Matrix Algebra
Barbara G. Tabachnick/Linda S. Fidell 23
1. Introduction
Barbara G. Tabachnick/Linda S. Fidell 33
2. A Guide to Statistical Techniques
Barbara G. Tabachnick/Linda S. Fidell 49
3. Review of Univariate and Bivariate Statistics
Barbara G. Tabachnick/Linda S. Fidell 65
4. Cleaning Up Your Act
Barbara G. Tabachnick/Linda S. Fidell 93
5. Multiple Regression
Barbara G. Tabachnick/Linda S. Fidell 153
6. Analysis of Covariance
Barbara G. Tabachnick/Linda S. Fidell 235
7. Multivariate Analysis of Variance and Covariance
Barbara G. Tabachnick/Linda S. Fidell 285
8. Profile Analysis: The Multivariate Approach to Repeated Measures
Barbara G. Tabachnick/Linda S. Fidell 355
9. Discriminant Analysis
Barbara G. Tabachnick/Linda S. Fidell 419
10. Logistic Regression
Barbara G. Tabachnick/Linda S. Fidell 483
I
11005667899515331734795791751
11. Survival/Failure Analysis
Barbara G. Tabachnick/Linda S. Fidell 555
12. Canonical Correlation
Barbara G. Tabachnick/Linda S. Fidell 617
13. Principal Components and Factor Analysis
Barbara G. Tabachnick/Linda S. Fidell 659
14. Structural Equation Modeling
Barbara G. Tabachnick/Linda S. Fidell 731
15. Multilevel Linear Modeling
Barbara G. Tabachnick/Linda S. Fidell 837
16. Multiway Frequency Analysis
Barbara G. Tabachnick/Linda S. Fidell 915
17. Time-Series Analysis
Barbara G. Tabachnick/Linda S. Fidell 971
18. An Overview of the General Linear Model
Barbara G. Tabachnick/Linda S. Fidell 1037
Index 1049
II
appendix: Statistical Tables
From Appendix C of Using Multivariate Statistics, Sixth Edition. Barbara G. Tabachnick, Linda S. Fidell.
Copyright © 2013 by Pearson Education, Inc. All rights reserved.
1
AppeNDix
Statistical Tables
Table 1 Normal Curve Areas
Table 2 Critical Values of the t Distribution for A (cid:31).05
and .01, Two‐Tailed Test
Table 3 Critical Values of the F Distribution
Table 4 Critical Values of Chi Square (X2)
Table 5 Critical Values for Squares Multiple
Correlation (R2) in Forward Stepwise
Selection: A (cid:31).05
Table 6 Critical Values for F (S2 /S2 )
max max min
Distribution for A (cid:31).05 and .01
2
appendix: Statistical Tables
TAble 1 Normal Curve Areas
0 z
z .00 .01 .02 .03 .04 .05 .06 .07 .08 .09
0.0 .0000 .0040 .0080 .0120 .0160 .0199 .0239 .0279 .0319 .0359
0.1 .0398 .0438 .0478 .0517 .0557 .0596 .0636 .0675 .0714 .0753
0.2 .0793 .0832 .0871 .0910 .0948 .0987 .1026 .1064 .1103 .1141
0.3 .1179 .1217 .1255 .1293 .1331 .1368 .1406 .1443 .1480 .1517
0.4 .1554 .1591 .1628 .1664 .1700 .1736 .1772 .1808 .1844 .1879
0.5 .1915 .1950 .1985 .2019 .2054 .2088 .2123 .2157 .2190 .2224
0.6 .2257 .2291 .2324 .2357 .2389 .2422 .2454 .2486 .2517 .2549
0.7 .2580 .2611 .2642 .2673 .2704 .2734 .2764 .2794 .2823 .2852
0.8 .2881 .2910 .2939 .2967 .2995 .3023 .3051 .3078 .3106 .3133
0.9 .3159 .3186 .3212 .3238 .3264 .3289 .3315 .3340 .3365 .3389
1.0 .3413 .3438 .3461 .3485 .3508 .3531 .3554 .3577 .3599 .3621
1.1 .3643 .3665 .3686 .3708 .3729 .3749 .3770 .3790 .3810 .3830
1.2 .3849 .3869 .3888 .3907 .3925 .3944 .3962 .3980 .3997 .4015
1.3 .4032 .4049 .4066 .4082 .4099 .4115 .4131 .4147 .4162 .4177
1.4 .4192 .4207 .4222 .4236 .4251 .4265 .4279 .4292 .4306 .4319
1.5 .4332 .4345 .4357 .4370 .4382 .4394 .4406 .4418 .4429 .4441
1.6 .4452 .4463 .4474 .4484 .4495 .4505 .4515 .4525 .4535 .4545
1.7 .4554 .4564 .4573 .4582 .4591 .4599 .4608 .4616 .4625 .4633
1.8 .4641 .4649 .4656 .4664 .4671 .4678 .4686 .4693 .4699 .4706
1.9 .4713 .4719 .4726 .4732 .4738 .4744 .4750 .4756 .4761 .4767
2.0 .4772 .4778 .4783 .4788 .4793 .4798 .4803 .4808 .4812 .4817
2.1 .4821 .4826 .4830 .4834 .4838 .4842 .4846 .4850 .4854 .4857
2.2 .4861 .4864 .4868 .4871 .4875 .4878 .4881 .4884 .4887 .4890
2.3 .4893 .4896 .4898 .4901 .4904 .4906 .4909 .4911 .4913 .4916
2.4 .4918 .4920 .4922 .4925 .4927 .4929 .4931 .4932 .4934 .4936
2.5 .4938 .4940 .4941 .4943 .4945 .4946 .4948 .4949 .4951 .4952
2.6 .4953 .4955 .4956 .4957 .4959 .4960 .4961 .4962 .4963 .4964
2.7 .4965 .4966 .4967 .4968 .4969 .4970 .4971 .4972 .4973 .4974
2.8 .4974 .4975 .4976 .4977 .4977 .4978 .4979 .4979 .4980 .4981
2.9 .4981 .4982 .4982 .4983 .4984 .4984 .4985 .4985 .4986 .4986
3.0 .4987 .4987 .4987 .4988 .4988 .4989 .4989 .4989 .4990 .4990
Source: Adapted/abridged from A. Hald, Statistical Tables and Formulas, Table 1. John Wiley, 1952.
3
appendix: Statistical Tables
TAble 2 Critical Values of the t Distribution for
A = .05 and .01, Two‐Tailed Test
Degrees of Freedom .05 .01
1 12.706 63.657
2 4.303 9.925
3 3.182 5.841
4 2.776 4.604
5 2.571 4.032
6 2.447 3.707
7 2.365 3.499
8 2.306 3.355
9 2.262 3.250
10 2.228 3.169
11 2.201 3.106
12 2.179 3.055
13 2.160 3.012
14 2.145 2.977
15 2.131 2.947
16 2.120 2.921
17 2.110 2.898
18 2.101 2.878
19 2.093 2.861
20 2.086 2.845
21 2.080 2.831
22 2.074 2.819
23 2.069 2.807
24 2.064 2.797
25 2.060 2.787
26 2.056 2.779
27 2.052 2.771
28 2.048 2.763
29 2.045 2.756
30 2.042 2.750
40 2.021 2.704
60 2.000 2.660
120 1.980 2.617
∞ 1.960 2.576
Source: Adapted from Table 9 in Biometrika Tables for
Statisticians, vol. 1, 3d ed., edited by E. S. Pearson and H. O.
Hartley (New York: Cambridge University Press, 1958).
4
appendix: Statistical Tables
TAble 3 Critical Values of the F Distribution
df
1
df 1 2 3 4 5 6 8 12 24 ∞
2
1 0 .1% 405284 500000 540379 562500 576405 585937 598144 610667 623497 636619
0.5% 16211 20000 21615 22500 23056 23437 23925 24426 24940 25465
1% 4052 4999 5403 5625 5764 5859 5981 6106 6234 6366
2.5% 647.79 799.50 864.16 899.58 921.85 937.11 956.66 976.71 997.25 1018.30
5% 161.45 199.50 215.71 224.58 230.16 233.99 238.88 243.91 249.05 254.32
10% 39.86 49.50 53.59 55.83 57.24 58.20 59.44 60.70 62.00 63.33
2 0.1 998.5 999.0 999.2 999.2 999.3 999.3 999.4 999.4 999.5 999.5
0.5 198.50 199.00 199.17 199.25 199.30 199.33 199.37 199.42 199.46 199.51
1 98.49 99.00 99.17 99.25 99.30 99.33 99.36 99.42 99.46 99.50
2.5 38.51 39.00 39.17 39.25 39.30 39.33 39.37 39.42 39.46 39.50
5 18.51 19.00 19.16 19.25 19.30 19.33 19.37 19.41 19.45 19.50
10 8.53 9.00 9.16 9.24 9.29 9.33 9.37 9.41 9.45 9.49
3 0.1 167.5 148.5 141.1 137.1 134.6 132.8 130.6 128.3 125.9 123.5
0.5 55.55 49.80 47.47 46.20 45.39 44.84 44.13 43.39 42.62 41.83
1 34.12 30.81 29.46 28.71 28.24 27.91 27.49 27.05 26.60 26.12
2.5 17.44 16.04 15.44 15.10 14.89 14.74 14.54 14.34 14.12 13.90
5 10.13 9.55 9.28 9.12 9.01 8.94 8.84 8.74 8.64 8.53
10 5.54 5.46 5.39 5.34 5.31 5.28 5.25 5.22 5.18 5.13
4 0.1 74.14 61.25 56.18 53.44 51.71 50.53 49.00 47.41 45.77 44.05
0.5 31.33 26.28 24.26 23.16 22.46 21.98 21.35 20.71 20.03 19.33
1 21.20 18.00 16.69 15.98 15.52 15.21 14.80 14.37 13.93 13.46
2.5 12.22 10.65 9.98 9.60 9.36 9.20 8.98 8.75 8.51 8.26
5 7.71 6.94 6.59 6.39 6.26 6.16 6.04 5.91 5.77 5.63
10 4.54 4.32 4.19 4.11 4.05 4.01 3.95 3.90 3.83 3.76
5 0.1 47.04 36.61 33.20 31.09 29.75 28.84 27.64 26.42 25.14 23.78
0.5 22.79 18.31 16.53 15.56 14.94 14.51 13.96 13.38 12.78 12.14
1 16.26 13.27 12.06 11.39 10.97 10.67 10.29 9.89 9.47 9.02
2.5 10.01 8.43 7.76 7.39 7.15 6.98 6.76 6.52 6.28 6.02
5 6.61 5.79 5.41 5.19 5.05 4.95 4.82 4.68 4.53 4.36
10 4.06 3.78 6.62 3.52 3.45 3.40 3.34 3.27 3.19 3.10
6 0.1 35.51 27.00 23.70 21.90 20.81 20.03 19.03 17.99 16.89 15.75
0.5 18.64 14.54 12.92 12.03 11.46 11.07 10.57 10.03 9.47 8.88
1 13.74 10.92 9.78 9.15 8.75 8.47 8.10 7.72 7.31 6.88
2.5 8.81 7.26 6.60 6.23 5.99 5.82 5.60 5.37 5.12 4.85
5 5.99 5.14 4.76 4.53 4.39 4.28 4.15 4.00 3.84 3.67
10 3.78 3.46 3.29 3.18 3.11 3.05 2.98 2.90 2.82 2.72
7 0.1 29.22 21.69 18.77 17.19 16.21 15.52 14.63 13.71 12.73 11.69
0.5 16.24 12.40 10.88 10.05 9.52 9.16 8.68 8.18 7.65 7.08
1 12.25 9.55 8.45 7.85 7.46 7.19 6.84 6.47 6.07 5.65
2.5 8.07 6.54 5.89 5.52 5.29 5.12 4.90 4.67 4.42 4.14
5 5.59 4.74 4.35 4.12 3.97 3.87 3.73 3.57 3.41 3.23
10 3.59 3.26 3.07 2.96 2.88 2.83 2.75 2.67 2.58 2.47
8 0.1 25.42 18.49 15.83 14.39 13.49 12.86 12.04 11.19 10.30 9.34
0.5 14.69 11.04 9.60 8.81 8.30 7.95 7.50 7.01 6.50 5.95
(continued )
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