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Unformatted text preview: he number of observations in the smallest sample Example: For t1=4, t2=3, t3=2, and α=0.05, reject the null hypothesis if the obtained K is larger than or equal to 5.33 The table may be used for any case for which t1, t2, t3 are all less than six. The test is inherently two tailed. t1 t2 t3 Significance level, α 0.2 0.1 0.05 0.025 0.01 2 2 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 2 2 2 2 3 3 3 1 2 2 3 3 3 4 4 4 4 1 2 2 3 3 3 4 4 4 4 5 5 5 5 5 1 2 1 2 1 2 3 1 1 2 1 2 3 1 2 3 4 1 1 2 1 2 3 1 2 3 4 1 2 3 4 5 3.6 3.71 3.52 3.93 3.29 3.78 3.47 3.57 3.16 3.67 3.21 3.44 3.39 3.27 3.46 3.42 3.5 3.86 3.33 3.36 3.22 3.41 3.44 3.09 3.36 3.32 3.33 3.24 3.39 3.43 3.31 3.42 0.005 0.001 4.57 4.29 4.5 4.57 4.56 4.62 4.71 5.12 5.36 5.6 5.56 5.96 7.2 7.2 4.5 4.46 4.06 4.51 4.71 4.17 4.55 4.55 4.65 5.33 5.21 5.44 5.73 4.97 5.45 5.6 5.69 5.5 5.83 6 6.15 6.17 6.08 6.39 6.62 6.44 6.75 6.67 7.04 7.14 7.65 7 7.32 8.02 7.28 7.6 8 8.33 8.65 4.2 4.37 4.02 4.65 4.53 3.99 4.54 4.55 4.62 4.11 4.51 4.55 4.52 4.56 5 5.16 4.96 5.25 5.65 4.99 5.27 5.63 5.62 5.13 5.34 5.71 5.64 5.78 6 6.04 6 6.32 5.78 6.04 6.41 6.67 6 6.35 6.49 6.67 6.74 From Leach (1979) 215 6.53 6.82 7.08 6.95 7.12 7.45 7.76 7.31 7.27 7.54 7.77 8 7.19 7.52 7.36 7.57 7.91 8.14 .7.75 8.13 8.24 8.37 8.72 8.24 8.11 8.5 9 8.69 9.06 9.32 9.68 APPENDIX 7: CRITICAL VALUES OF CHI-SQUARE AT THE 0.05 AND 0.01 LEVEL OF SIGNIFICANCE Example: With α=0.05 and 4 degrees of freedom reject the null hypothesis if the critical value obtained is larger than or equal to 9.488. The distribution is inherently two tailed df 0.05 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Level of significance, α 0.01 3.841 5.991 7.815 9.488 11.070 12.592 14.067 15.507 16.919 18.307 19.975 21.026 22.362 23.685 24.996 6.35 9.210 11.345 13.277 15.086 16.812 18.475 20.090 21.666 23.209 24.725 26.217 27.688 29.141 30.578 From Levin and Fox (1988) 216 APPENDIX 8: CRITICAL VALUES OF S FOR THE WILCOXON RANK SUM TEST t1 is the number of observations in the largest sample t2 is the number of observations in the smallest sample Example: For a two-tailed test, with t 1=3, t2=2 and α=0.05, reject the null hypothesis if the obtained S is larger than or equal to 6, or if it is smaller than or equal to –6. Example: For a one-tailed test, with t 1=3, t2=2 and α=0.05, if an upper tailed test is required reject the null hypothesis if the obtained S is larger than or equal to 58. If a lower tail test is required, reject if the obtained S is smaller than or equal to –58. The table may be used for any case for which t1, t2, t3 are all less than six. The test is inherently two tailed. One tailed significance level, α t1 t2 0.1 0.05 0.025 0.01 0.005 0.001 Two-tailed significance level, α 0.2 0.1 0.05 0.02 0.01 0.002 3 3 4 4 4 5 5 5 5 6 6 6 6 2 3 2 3 4 2 3 4 5 2 4 5 6 6 7 8 10 10 8 11 12 15 10 14 16 18 9 12 14 10 13 16 17 12 18 20 22 16 15 18 21 20 23 20 24 26 22 26 30 From Leach (1979) 217 24 28 32 BIBLIOGRAPHY 218 Aldag, R.J., and Power, D.J., 1986, An empirical a...
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This document was uploaded on 03/30/2014.

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