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STATISTICS : How to state null and alternative hypothesis for 2k factorial design of two factors?

Mathematics
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detail : design experiment involving two factors to determine individual and interaction effect. use f-distribution to test hypothesis. but before testing i need to state what the null and alternative hypotheses are
i need some way to express it in terms like Ho : τ1 = τ2 = τ3 ... τa =0 Ha : at least one τi ≠ 0 however i need equation that is suitable for this purpose

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