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Math Help - Sst = ssw + ssb

  1. #1
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    Unhappy Sst = ssw + ssb

    Hi everyone,

    I have this problem to solve. It's been a while since I tried to figured out how to do, but I am totally lost.
    Here it is.

    Prove SST= SSW+SST in one-way Anova (one factor).
    Σ ( xi - x̄ ) = Σ (xi - x̄ + x̄ k - x̄ k )
    Hint: Σ [ ( xi - x̄ k ) + ( x̄ k - x̄ )]

    Where should I start? Should I try to compute Σ [ ( xi - x̄ k ) + ( x̄ k - x̄ )] in order to come up with SST= Σ ( xi - x̄ )
    Seriously, I have no idea ...
    Any help ?
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  2. #2
    MHF Contributor
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    Re: Sst = ssw + ssb

    Hey Kentsection.

    What is SSW and SST again? (In terms of the symbols you are using? Also note that Var[X+Y] = Var[X] + Var[Y] if X and Y are independent quantities (random variables, samples, etc).
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