Heiman G. Basic Statistics for the Behavioral Sciences
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428 APPENDIX C / Statistical Tables
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APPENDIX C / Statistical Tables 429
STATISTICAL TABLES
TABLE C.6
Values of Studentized Range Statistic, q
k
For a one-way ANOVA, or a comparison of the means from a main effect, the value of k is the number of means in
the factor.
To compare the means from an interaction, find the appropriate design (or number of cell means) in the table
below and obtain the adjusted value of k. Then use adjusted k as k to find the value of q
k
.
Values of Adjusted k
Design of Number of Cell Adjusted
Study Means in Study Value of k
43
65
86
97
12 8
16 10
20 12
Values of q
k
for are dark numbers and for are light numbers.
Degrees of Freedom
Within Groups
k ⴝ Number of Means Being Compared
(degrees of freedom
in denominator
of F-ratio) 23456789101112a
␣ 5 .01␣ 5 .05
4 3 5
4 3 4
3 3 4
3 3 3
2 3 4
2 3 3
2 3 2
continued
430 APPENDIX C / Statistical Tables
TABLE C.6 (CONT.)
Values of Studentized Range Statistic, q
k
Degrees of Freedom
Within Groups
k ⴝ Number of Means Being Compared
(degrees of freedom
in denominator
of F-ratio) 2 3 4 5 6 7 8 9 10 11 12a
From B. J. Winer, Statistical Principles in Experimental Design, McGraw-Hill, 1962; abridged from H. L. Harter, D. S. Clemm, and E. H.
Guthrie, “The probability integrals of the range and of the studentized range,” WADC Tech. Rep., 58–484, Vol. 2, 1959, Wright Air Develop-
ment Center, Table II.2, pp. 243–281. Reproduced by permission of the McGraw-Hill Companies, Inc.
APPENDIX C / Statistical Tables 431
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