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This paper derives accuracy standards for model gravitational waveformsrequired to ensure proper use of the Allen $\chi^2$ discriminator ingravitational wave (GW) data analysis. These standards are different frompreviously established requirements for detection and waveform parametermeasurement based on signal-to-noise optimization. We present convenientformulae for evaluating and interpreting the contribution of model errors tomeasured values of this $\chi^2$ statistic. The new accuracy standards derivedhere are needed to ensure the reliability of measured values of the Allen$\chi^2$ statistic, both in their traditional role as vetoes and in theircurrent role as elements in evaluating the significance of candidatedetections.

Model Waveform Accuracy Requirements for the Allen $\chi^2$ Discriminator