Note: Because the normal distribution is symmetrical, the proportions for negative z-scores are the same as those for positive z-scores.

Transcription

1 _ _ i APPENDX Statistical Tables TABLE 3.1 The Unit Normal Tabe* *Column A lists z-score values. A vertical line drawn through a normal distribution at a z-score location divides the distribution into two sections. Column B identifies the proportion in the larger section, called the body. Column C identifies the proportion in the smaller section, called the tail. Column D identifies the proportion between the mean and the z-score. Note: Because the normal distribution is symmetrical, the proportions for negative z-scores are the same as those for positive z-scores. fa) (B) (C) (D) (B) (C) (D) z in Body in Tail Between Mean and z z in Body in Tail Between Mean and z

2 648 (A) Z APPENDXB 1 Statistical Tables (8) 'nbody (0 'ntal' ] (D) Between Mean and z (A) Z (B) i'nbody m (C) i'nta' (D) Between Mean and z m

3 APPENDXB l Statistical Tables 649 (A) (B) (C) (D) in Body in Tail Between Mean and z z in Body in Tail Between Mean and z

4 650 (A) Z 2_ APPENDXB Statistical Tables (B) i'nbody (0 n'tail' (D) Between Mean and ) 84 (A) Z (B) ni'body (0 n'ta' ()03. (D) Between Mean and z

5 APPENDXB Statistical Tables 651 TA B L E B.2 The t Distribution Table entries are values of corresponding to proportions in one tail or in two tails combined. One loll (ei rher right or efi) Two foils combined in One Tail w in Two Tails Combined \OOOQO llj-pwnr Table of R. A. Fisher and F. Yates, Sratistical Tablesfor Biological, Agricultural and Medical Research, 6th ed. London: Longman Group Ltd., 1974 (previously published by Oliver and Boyd Ltd. Edinburgh). Copyright 1963 R. A. Fisher and F. Yates. Adapted and reprinted with permission of Pearson Education Limited.

6 652 APPENDXB 1 Statistical Tables TA B L E B. 3 Critical Values for the F-Max Statistic* *The critical values for a =.05 are in lightface type, and for 0: =.01, they are in boldface type k = Number of Samples J Table 31 of E. Pearson and Hartley. Biometrika Tables for Statisticians, 2nd ed. New York: Cambridge University Press, Adapted and reprinted with pennission of the Biometrika trustees.

7 APPENDXB l Statistical Tables 653 TABLE 8.4 The FDistribution* *Table entries in lightface type are critical values for the.05 level of significance. Boldface type values are for the.01 level of significance. Critical Degrees of Freedom: Denominator S Degrees of Freedom: Numerator

8 654 TABLE 3.4 The F Distribution (continued) APPENDXB Statistical Tables Degrees of Freedom: Denominator , Degrees of Freedom: Numerator

9 APPENDXB Statistical Tables 655 TA B L E B.4 The F Distribution (continued) Degrees of Freedom: Degrees of Freedom: Numerator Denominator

10 656 APPENDXB Statistical Tables TA B L E B. 5 The Studentized Range Statistic (q)* *The Critical values for q corresponding to 01 =.05 (lightface type) and ct =.01 (boldface type). k = Number of Treatments df for Error Term ] , Table 29 of E. Pearson and H. O. Hartley. Bionwlri/t'a Tab/L A'fi)! Sm nd ed. New York: Camln ith-e University Press Adapted and reprinted with permission of the Biometrilx'a trustees.

11 APPENDXB Statistical Tables 657 TA B L E B.6 Critical Values for the Pearson Correlation* *To be significant, the sample correlation, r, must be greater than or equal to the critical value in the table. Tum of Significance for One-Tailed Test Level of Significance for Two-Tailed Test \OOO\O\ UAwNH Table V of R. A. Fisher and F. Yates, Statistical Tablesfor Biological, Agricultural and Medical Research, 6th ed. London: Longman Group Ltd., 1974 (previously published by Oliver and Boyd Ltd., Edinburgh). Copyright 1963 R. A. Fisher and F. Yates. Adapted and reprinted with permission of Pearson Education Limited.

12 658 APPENDXB Statistical Tables TA B L E B.7 Critical Values for the Spearman Correlation* *To be significant. the sample correlation. r\. must be greater than or equal to the critical value in the table. imvd of Significance for One Tailed Test Level of Significance for Two-Tailed Test l Zar. J. H. (1972). Significance testing of the Spearman rank correlation coefficient. Journal oft/19 American Statislical Association Reprinted with permission from the Journal oft/1e American Statistical Association. Copyright 1972 by the American Statistical Association. All rights reserved.

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14 660 APPENDXB Statistical Tables TA B L E B.9A Critical Values of the Mann-Whitney U for 01 =.05* *Critical values are provided for a one-tailed test at a =.05 (lightface type) and for a two-tailed test at a = 05 (boldface type). To be significant for any given na and n". the obtained U must be equal to or less than the cn'tical value in the table. Dashes ( ) in the body of the table indicate that no decision is possible at the stated level of significance and values of r1,1 and n lolol._. 00 \O \\O O\\O O00 Ul\l U\ 30 AM tum 45> NW NW HM F- N O' lol lol H MO \O GOO Ul\l A05 AL] bah Nb) HM 6 -._. a. HD 4 Oh.) H... HJE. yap n HU H._. NON H. mu p n._. MOO > 00 - \\O $00 UON Oak/ Nb- i N OH - y n WWN lol ~ NL H» (430 H. 00 H. U\O D N \O r N Vow NM OM p-n p l b tn DON 5 ONOO U\ ML)! Nb.) b-tn > -t t._. AON V- t - b lv H 90 Ax] wax i-dn q. NLJ NM NM NM l-n U'O JBOO NON D L \OU) NU) \N H H o0: Q00 U10 Uni-h N p A._. cw H._. NLJ H, -h\l Hy cwo HN m... NM 64> NN N0 N Koo NW 90 ND.) 009.: O Mb.) OU O Mm N\l bib.) \O &L -N QONUJ l

15 APPENDXB Statistical Tables 661 TA B L E B. 9 8 Critical Values of the Mann-Whitney U for (x =.01* *Critical values are provided for a (me-tailed test at OL =.01 (lightface type) and for a two-tailed test at a =.01 (boldface type). To be significant for any given "A and n, the obtained U must be equal to or less than the critical value in the table. Dashes ( ) in the body of the table indicate that no decision is possible at the stated level of significance and values of na and MB. \ a a _s N W 5 U1 01 \l on \D _. C d d ol lo U) 0 o o o o N m U'l\l Nb.) G \O 450 HE) O W3 \\O 50 GOO U\) U'\ &O\ MU! WU] N-P NU) H9) l-in OH O"». en: \lo \\O GOO Ul\l J50 MU! N-P ~03 HN O wow NM ##-, -n - #6 ' P- O\N ' b- LAD l \o: \]\O 600 U\ NU) i-n 6* j lr cm p kl] F H 0N D H ooh) i l-l \OU NH CG Ni l NV HD A HUJ \0: \O O \l #0 (43-5:- l Ht». ON._.. N4>._.._. mo HD U\._. \O NH HQ ND k WW Nb l #0 NN O\h NN CON» \D - \ND CNN 50 [94> N pi. HO) t i n Mm.._. (.\ :N i N WM N 4> MN 0O MN CON Lab) 043 DJN NON wn Aw \O flnduqbjuut lwc 1... MO NN on» NM NG N 00 LAN HA LAN wfl OJN ONW WU) OOH #03 00-) t N oo 0 - Q00 JBON NW C y... h DJ p HH H4:- i. - ONO HF.) WM. OJUUAN-AN-b-waawt NHNh NOHcHOwOO r A b) H W N A b) C 0) ON NM Au Nb.) GO Lu) W 9319 O\\O bob) OOH #0.) HA 03 \ «9-103 \\O JR N l l H...- WU! b AN com NN HU NN AGO Nu.) \]y : bulb.) Ob Au H0) #0) A6\ 3-03 \19 m4; ON LJB WU] 13 co b.) \l \DN U\ NUJ

16 662 APPENDXB Statistical Tables TA B L E B.10 Critical Values of Tfor the Wilcoxon Signed-Ranks Test* *To be significant, the obtained T must be equal to or less than the critical value. Dashes ( ) in the columns indicate that no decision is possible for the stated a and n. fmvd of Significance for One-Tailed Test Level of Significance for Two-Tailed Test Ema of Significance for One-Tailed Test Level of Significance for Two-Tailed Test Adapted from Wilcoxon, S. K. Katti, and R. A. Wilcox, Critical Values and Probability levels of the Wilcoxon Rank-Sum Test and the Wilcox0n Signed-Ranks Test. Wayne, NJ: American Cyanamid Company, Adapted and reprinted with permission of the American Cyanamid Company.