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Columns b denote the upper boundaries or the right-sided critical values... The columns a denote the lower boundaries or left-sided critical values.. The columns b denote the upper bound

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GOKA: “CHAP06A” — 2006/6/10 — 17:23 — PAGE 192 — #8

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GOKA: “CHAP06A” — 2006/6/10 — 17:23 — PAGE 193 — #9

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GOKA: “CHAP06A” — 2006/6/10 — 17:23 — PAGE 194 — #10

Source: Neave, 1978

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GOKA: “CHAP06A” — 2006/6/10 — 17:23 — PAGE 195 — #11

Table 5 Critical values for the χ2-distribution

Columns a denote the lower boundaries or the left-sided critical values.

Columns b denote the upper boundaries or the right-sided critical values.

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GOKA: “CHAP06A” — 2006/6/10 — 17:23 — PAGE 196 — #12

Table 6 Critical values of r for the correlation test with ρ = 0

The distribution is symmetrical with respect to ρ = 0.

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GOKA: “CHAP06A” — 2006/6/10 — 17:23 — PAGE 197 — #13

Table 7 Critical values of g1and g2for Fisher’s cumulant test

The g1distribution may be considered as symmetrical with respect to 0;

the g2distribution has to be considered as asymmetrical.

The columns a denote the lower boundaries or left-sided critical values.

The columns b denote the upper boundaries or right-sided critical values.

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GOKA: “CHAP06A” — 2006/6/10 — 17:23 — PAGE 198 — #14

Table 8 Critical values for the Dixon test of outliers

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GOKA: “CHAP06B” — 2006/6/10 — 17:24 — PAGE 205 — #1

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GOKA: “CHAP06B” — 2006/6/10 — 17:24 — PAGE 210 — #6

Table 14 Critical values of w /s for the normality test

Columns a denote the lower boundaries or the left-sided critical values.

Columns b denote the upper boundaries or the right-sided critical values.

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GOKA: “CHAP06B” — 2006/6/10 — 17:24 — PAGE 213 — #9

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GOKA: “CHAP06B” — 2006/6/10 — 17:24 — PAGE 214 — #10

Table 17 Critical values of T for the sign test

Level of significance α Level of significance α

Two-sided 0.10 0.05 0.02 0.01 Two-sided 0.10 0.05 0.02 0.01 One-sided 0.05 0.025 0.01 0.005 One-sided 0.05 0.025 0.01 0.005

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GOKA: “CHAP06B” — 2006/6/10 — 17:24 — PAGE 215 — #11

r

F (r )

r = 0

Table 18 Critical values of r for the sign test for paired observations

N is the total number of equally probable dichotomous events, r

the smaller of the number of events of either kind If r ≤ rN;α

then there are too few events of one kind at the 1 − α confidence level.

For large values of N, r is approximately distributed as z.

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GOKA: “CHAP06B” — 2006/6/10 — 17:24 — PAGE 216 — #12

Table 19 Critical values of T for the signed rank test for paired

differences

n is the number of pairs of observations.

Level of significance α Level of significance α

n Two-sided One-sided n Two-sided One-sided 0.05 0.01 0.001 0.05 0.01 0.05 0.01 0.001 0.05 0.01

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