1975
DOI: 10.2307/2346565
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Significance Testing in Automatic Interaction Detection (A.I.D.)

Abstract: This paper initiates an investigation into the statistical significance of results obtained by analysing data through the Automatic Interaction Detection technique. A test statistic which is asymptotically independent of the sample size is examined and critical values are obtained for a special case. The asymptotic results are compared with the exact distribution for varying sample size in a specific example. A brief discussion on the application of the results to a particular case study concludes the paper.

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Cited by 59 publications
(27 citation statements)
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“…Now clearly if k is known, then these are simply the asymptotic cases of the general Murphy statistics discussed in Section 5.1.1 If k is unknown, then one would think in terms of using the AID statistic, either in its standard form or in a variant form as set out in Section 5.1. Note that the fact that 0' is known brings this situation directly into line with that studied by Kass (1975), and so his fractiles may be used for the conventional form of the AID statistic. where the grand mean rank, R, is clearly (n + 1)/2.…”
Section: Multiple Slippagementioning
confidence: 79%
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“…Now clearly if k is known, then these are simply the asymptotic cases of the general Murphy statistics discussed in Section 5.1.1 If k is unknown, then one would think in terms of using the AID statistic, either in its standard form or in a variant form as set out in Section 5.1. Note that the fact that 0' is known brings this situation directly into line with that studied by Kass (1975), and so his fractiles may be used for the conventional form of the AID statistic. where the grand mean rank, R, is clearly (n + 1)/2.…”
Section: Multiple Slippagementioning
confidence: 79%
“…Then one may proceed as in automatic interaction Kass, 1975). Even this value is smaller than the value of 4.11 that would be used in a multiple comparison test.…”
Section: Slippage Test Performancementioning
confidence: 99%
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“…DTreg is an open source software tool that generates a single decision tree structured model using regression. The aim of AID DTreg is to Bsplit the data successively by binary division into a number of subgroups^ [41]. In AID DTreg, the iterations stop when it does not find significant values between the determinant and predictor variables.…”
Section: Methodsmentioning
confidence: 99%
“…CHAID (Kass, 1980;Kass, 1975), FIRM (based on work by Hawkins & Kass (1982)), and TBA (Jensen & Schmill, 1997) use Bonferroni adjustment to compensate for multiple comparisons during tree construction. INDUCE (Gaines, 1989) uses a Bonferroni adjustment to compensate for comparing multiple rules.…”
Section: Multiple Comparisonsmentioning
confidence: 99%