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  • Sample-Size Estimation for Longitudinal Studies using power repeated

    Can anyone tell me how to calculate the sample size using power repeated command?
    It seems that the power repeated command needs the alternative cell mean. What can we do if all we have is "mean decline"?

    Hypertension example:
    Suppose we are planning a longitudinal study to compare the mean change in SBP between a treated and a control group. It is projected, based on previous data, that the standard deviation of SBP at both baseline and follow-up is 15 mm Hg and that the correlation coefficient between repeated SBP values 1 year apart is approximately .70. How many participants do we need to study to have 80% power to detect a significant difference between groups using a two-sided test with α =.05 if the true mean decline in SBP over 1 year is 8 mm Hg for the treated group and 3 mm Hg for the control group?

    The answer is 85 subjects in each group.
    The solution is attached, thanks in advance!
    solutions
    Last edited by Qiguo Lian; 30 Jun 2014, 02:17.

  • #2
    "It seems that the power repeated command needs the alternative cell mean. What can we do if all we have is "mean decline"?"

    You could try setting one pair of cells to zero.

    .ÿpowerÿrepeatedÿ0ÿ-3ÿ\ÿ0ÿ-8,ÿfactor(bwithin)ÿcorr(0.7)ÿvarerror(225)

    Performingÿiterationÿ...

    Estimatedÿsampleÿsizeÿforÿrepeated-measuresÿANOVA
    Fÿtestÿforÿbetween-withinÿsubjectsÿwithÿGreenhouse-Geisserÿcorrection
    Ho:ÿdeltaÿ=ÿ0ÿÿversusÿÿHa:ÿdeltaÿ!=ÿ0

    Studyÿparameters:

    ÿÿÿÿÿÿÿÿalphaÿ=ÿÿÿÿ0.0500
    ÿÿÿÿÿÿÿÿpowerÿ=ÿÿÿÿ0.8000
    ÿÿÿÿÿÿÿÿdeltaÿ=ÿÿÿÿ0.2152
    ÿÿÿÿÿÿÿÿÿÿN_gÿ=ÿÿÿÿÿÿÿÿÿ2
    ÿÿÿÿÿÿÿÿN_repÿ=ÿÿÿÿÿÿÿÿÿ2
    ÿÿÿÿÿÿÿÿmeansÿ=ÿÿÿ<matrix>
    ÿÿÿÿÿÿÿVar_bwÿ=ÿÿÿÿ1.5625
    ÿÿÿÿÿÿVar_bweÿ=ÿÿÿ33.7500
    ÿÿÿÿÿÿÿÿVar_eÿ=ÿÿ225.0000
    ÿÿÿÿÿÿÿÿÿÿrhoÿ=ÿÿÿÿ0.7000

    Estimatedÿsampleÿsizes:

    ÿÿÿÿÿÿÿÿÿÿÿÿNÿ=ÿÿÿÿÿÿÿ172
    ÿÿNÿperÿgroupÿ=ÿÿÿÿÿÿÿÿ86

    .

    Comment


    • #3
      Many thanks!
      Originally posted by Joseph Coveney View Post
      "It seems that the power repeated command needs the alternative cell mean. What can we do if all we have is "mean decline"?"

      You could try setting one pair of cells to zero.

      .ÿpowerÿrepeatedÿ0ÿ-3ÿ\ÿ0ÿ-8,ÿfactor(bwithin)ÿcorr(0.7)ÿvarerror(225)

      Performingÿiterationÿ...

      Estimatedÿsampleÿsizeÿforÿrepeated-measuresÿANOVA
      Fÿtestÿforÿbetween-withinÿsubjectsÿwithÿGreenhouse-Geisserÿcorrection
      Ho:ÿdeltaÿ=ÿ0ÿÿversusÿÿHa:ÿdeltaÿ!=ÿ0

      Studyÿparameters:

      ÿÿÿÿÿÿÿÿalphaÿ=ÿÿÿÿ0.0500
      ÿÿÿÿÿÿÿÿpowerÿ=ÿÿÿÿ0.8000
      ÿÿÿÿÿÿÿÿdeltaÿ=ÿÿÿÿ0.2152
      ÿÿÿÿÿÿÿÿÿÿN_gÿ=ÿÿÿÿÿÿÿÿÿ2
      ÿÿÿÿÿÿÿÿN_repÿ=ÿÿÿÿÿÿÿÿÿ2
      ÿÿÿÿÿÿÿÿmeansÿ=ÿÿÿ<matrix>
      ÿÿÿÿÿÿÿVar_bwÿ=ÿÿÿÿ1.5625
      ÿÿÿÿÿÿVar_bweÿ=ÿÿÿ33.7500
      ÿÿÿÿÿÿÿÿVar_eÿ=ÿÿ225.0000
      ÿÿÿÿÿÿÿÿÿÿrhoÿ=ÿÿÿÿ0.7000

      Estimatedÿsampleÿsizes:

      ÿÿÿÿÿÿÿÿÿÿÿÿNÿ=ÿÿÿÿÿÿÿ172
      ÿÿNÿperÿgroupÿ=ÿÿÿÿÿÿÿÿ86

      .

      Comment

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