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Sample size calculation when high do...
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Tang, Bin.
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Sample size calculation when high dose cannot be administered first in a three-period crossover design.
紀錄類型:
書目-電子資源 : Monograph/item
正題名/作者:
Sample size calculation when high dose cannot be administered first in a three-period crossover design./
作者:
Tang, Bin.
面頁冊數:
47 p.
附註:
Source: Masters Abstracts International, Volume: 54-03.
Contained By:
Masters Abstracts International54-03(E).
標題:
Statistics. -
電子資源:
http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=1583359
ISBN:
9781321542578
Sample size calculation when high dose cannot be administered first in a three-period crossover design.
Tang, Bin.
Sample size calculation when high dose cannot be administered first in a three-period crossover design.
- 47 p.
Source: Masters Abstracts International, Volume: 54-03.
Thesis (M.S.)--San Diego State University, 2015.
We derive a sample size calculation formula for a three-treatment three-period crossover design with continuous outcomes and with restriction on treatment sequences that lower dose must be administered prior to higher dose of a drug. The three-period crossover is defined by these three sequences, D 0→D1→D 2, D1→D0→ D2 and D1→D 2→D0, where D 0, D1 and D 2 are referred to as placebo, the low dose and the high dose, respectively.
ISBN: 9781321542578Subjects--Topical Terms:
517247
Statistics.
Sample size calculation when high dose cannot be administered first in a three-period crossover design.
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47 p.
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Source: Masters Abstracts International, Volume: 54-03.
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Adviser: Kung-Jong Lui.
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We derive a sample size calculation formula for a three-treatment three-period crossover design with continuous outcomes and with restriction on treatment sequences that lower dose must be administered prior to higher dose of a drug. The three-period crossover is defined by these three sequences, D 0→D1→D 2, D1→D0→ D2 and D1→D 2→D0, where D 0, D1 and D 2 are referred to as placebo, the low dose and the high dose, respectively.
520
$a
Appropriate contrast coefficients are derived for model 1 without carry-over effect, and for model 2 with carry-over effect as well. Based on these coefficients, the unbiased contrast variances are estimated and a sample size formula is derived in terms of hypothesis testing with normal distribution of assumption. Parameters introduced for sample size calculation include contrast coefficients, the number of contrasts, the desired differences of treatment effects, and common within-subject variance.
520
$a
Using the developed formula, we calculate the minimum sample size required for determining the differences between treatment effects for models with or without carry-over. Further, Monte Carlo simulations are carried out to evaluate the performance of this formula. The results show that the formula can work well to achieve desired power for model 1 and model 2. Finally, the formula is demonstrated in an example of comparing Tacrine at the low dose (40mg/day) and the high dose (80mg/day) with a zero dose (placebo).
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