APPENDIX D

Statistical Tables

D1 Cumulative areas under the Normal distribution (values of p corresponding to Zp)

D2 Percentiles of the tα,df distribution (values of t such that 100(1-α)% of the distribution is less than t)

D3 Upper and lower percentiles of the Chi-square distribution

D4 Coefficients ai for the Shapiro-Wilk test for normality

D5 Quantiles of the Shapiro-Wilk test for normality (values of W such that 100p% of the distribution of W is less than Wp)

D6 Upper percentiles of the F distribution for p = 0.995, p = 0.99, p = 0.975, p = 0.95, p = 0.90

D7 Noncentral t distribution. Values of the noncentrality parameter for a one-sided test with α = 0.050, α = 0.025, α = 0.010

D8 Binomial distribution with y successes out of n trials

D9 Population correlation coefficients

D10 Quantiles of the Spearman test statistic

D11 Sample sizes for one-sided nonparametric tolerance limits

Appendix D

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Table D4. Coefficients ai for the Shapiro-Wilk test for normality. (Source: Shapiro and Wilk, 1965)

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Table D4. (continued)

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Table D5. Quantiles of the Shapiro-Wilk test for normality (values of W such that 100p% of the distribution of W is less than Wp). (Source: Shapiro and Wilk, 1965)

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x D Appendi

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Table D7. Noncentral t distribution. Values of the noncentrality parameter for a one-sided test with α = 0.050. (Source: Owen, 1965)

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Table D7. (continued) Values of the noncentrality parameter for a one-sided test with α = 0.025. (Source: Owen, 1965)

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Table D7. (continued) Values of the noncentrality parameter for a one-sided test with α = 0.010. (Source: Owen, 1965)

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Table D9. Population correlation coefficients. (Source: Remington and Schork, 1970)

CHARTS FOR COMPUTING CONFIDENCE LIMITS FOR THE POPULATION CORRELATION COEFFICIENT ρ

CONFIDENCE LEVEL 95%

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Table D9. (continued)

CHARTS FOR COMPUTING CONFIDENCE LIMITS FOR THE POPULATION CORRELATION COEFFICIENT ρ

CONFIDENCE LEVEL 99%

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Appendix D

Table D10. Quantiles of the Spearman test statistic. (Source: Conover, 1980)

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Table D11. Sample sizes for one-sided nonparametric tolerance limitsa (Source: Practical Nonparametric Statistics, W.J. Conover, Copyright © (1980 John Wiley & Sons, Inc.). Reprinted by permission of John Wiley & Sons, Inc.)

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