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Birch reported an apparent ‘statistical asymmetry of the Universe’. The authors here develop ‘indirectional analysis’ as a technique for investigating statistical effects of this kind and conclude that the reported effect (whatever may be its origin) is strongly supported by the observations. The estimated pole of the asymmetry is at RA 13^h 30^m, Dec. −37°. The angular error in its estimation is unlikely to exceed 20−30°.