Table 1.
Sample Size |
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---|---|---|---|---|---|---|---|---|---|---|---|---|
Effect Size | 50 | 100 | 200 | 500 | 1000 | |||||||
α | β | Test | true to left | true to right | true to left | true to right | true to left | true to right | true to left | true to right | true to left | true to right |
0 | 0 | z | 0* | 0.0001* | 0* | 0* | 0* | 0.0001* | 0.0002* | 0* | 0.0003* | 0* |
M | 0.0007* | 0.0009* | 0.0012* | 0.0009* | 0.0013* | 0.0005* | 0.0013* | 0.0007* | 0.0012* | 0.0006* | ||
0 | .14 | z | 0.0003* | 0.0001* | 0.0013* | 0.0008* | 0.0023* | 0.0022* | 0.0064* | 0.0046* | 0.0129 | 0.0127 |
M | 0.0024* | 0.0018* | 0.0063* | 0.0040* | 0.0079* | 0.0079* | 0.0079* | 0.0140 | 0.0194 | 0.0190 | ||
0 | .39 | z | 0.0047* | 0.0042* | 0.0116* | 0.0078* | 0.0201 | 0.0177 | 0.0218 | 0.0249 | 0.0256 | 0.0241 |
M | 0.0129 | 0.0122* | 0.0153 | 0.0165 | 0.0214 | 0.0201 | 0.0228 | 0.0235 | 0.0249 | 0.0244 | ||
0 | .59 | z | 0.0126 | 0.0119* | 0.0189 | 0.0169 | 0.0211 | 0.0213 | 0.0266 | 0.0232 | 0.0248 | 0.0244 |
M | 0.0202 | 0.0179 | 0.0205 | 0.0181 | 0.0211 | 0.0215 | 0.0263 | 0.0223 | 0.0248 | 0.0241 | ||
Average | z | 0.0044* | 0.0041* | 0.0080* | 0.0064* | 0.0109* | 0.0103* | 0.0138 | 0.0132 | 0.0159 | 0.0153 | |
M | 0.0091* | 0.0082* | 0.0108* | 0.0099* | 0.0129 | 0.0125 | 0.0146 | 0.0151 | 0.0176 | 0.0170 |
Note. z refers to confidence limits based on the traditional z test. M refers to the confidence limits formed based on the distribution of the product tables in Meeker et al. (1981). Values marked with * are outside Bradley (1978) robustness criteria.