Here is the design of a clinical trial:

Official Title: Comparison of Effectiveness Between Warm Acupuncture With Local-Distal Points Association and Local Distribution Points Association in Breast Cancer Related Lymphedema Patients: A Multicenter, Randomized, Controlled Clinical Trial

Included conditions:
- Breast Cancer Lymphedema

Study Armgroups:
- {'label': 'local distribution points association', 'type': 'EXPERIMENTAL', 'description': 'Participants will receive warm acupuncture with the local distribution acupoints association on the affected arm only.', 'interventionNames': ['Other: local distribution points association']}
- {'label': 'local-distal points association', 'type': 'EXPERIMENTAL', 'description': 'Participants will receive warm acupuncture with the local-distal acupoints association on the affected arm, unaffected arm, abdomen, and legs.', 'interventionNames': ['Other: local-distal points association']}
- {'label': 'waiting-list', 'type': 'NO_INTERVENTION', 'description': 'Patients in the waiting-list group will not receive any acupuncture treatment during the study. However, for ethical consideration, 20 free acupuncture treatments will be offered after the study is completed.'}

Interventions:
- {'type': 'OTHER', 'name': 'local distribution points association', 'description': 'Participants will receive acupuncture treatments using the local points set plus the local-addition points set (local distribution association) described below. Warming acupuncture will be applied at HT2, LI11, and TE9 if permitted.\n\nLocal points set: TE5, LI11, TE9, HT3, TE13, and Xiajiquan on the affected arm. Local-addition points set: LU5, PC3, SI7, TE4, TE3, HT2, TE10, LI15, and 2 other points according to the symptom on the affected arm.', 'armGroupLabels': ['local distribution points association']}
- {'type': 'OTHER', 'name': 'local-distal points association', 'description': 'Participants will receive acupuncture treatments using the local points set plus the distal points set (local-distal association) described below. Warming acupuncture will be applied similarly to the local distribution group, with the addition of Ren6, Ren9, bilateral SP9, and LI11 on the unaffected arm.\n\nLocal points set: TE5, LI11, TE9, HT3, TE13, and Xiajiquan on the affected arm. Distal points set: TE5, LI11, HT3, TE13 on the unaffected arm; CV4, CV6, CV9, CV12, bilateral SP6 and SP9.', 'armGroupLabels': ['local-distal points association']}

Primary Outcomes:
- {'measure': 'Upper extremity circumference', 'description': 'Various assessment methods are available but circumference measure is simple, convenient with low cost, and reliable. Therefore, the primary outcome measures will be the mean change in inter-limb circumference difference from baseline to the end of the 8-week intervention. The circumference will be measured by the measurement tape (Gulick Attachment, Baseline, America) at the wrist crease, 10 cm above the wrist crease, elbow crease, 10 cm above the elbow crease, where the lymphedema is most severe and its corresponding location on the unaffected limb.', 'timeFrame': '80 weeks'}

Please estimate the sample size based on the assumption: 
Significance level (α) = 0.05, Power (β) = 0.10, Number of groups (K) = 3, Degree of freedom V1 = 2, Degree of freedom V2 = N-1 (N assumed as ∞), Critical value (Ψ) = 2.52, Dropout rate = 20%
Sample size calculation
        According to the results of our preliminary trial (9 participants in the LDA group, 7 participants in the LA group, and 10 participants in the WL group), the biggest circumference difference after 20 treatments was 2.34âÂ±â1.6âcm, 3.32âÂ±â1.53âcm, and 3.74âÂ±â1.1âcm in the LDA, LA, and WL groups, respectively. According to the formula:\documentclass[12pt]{minimal}
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				\begin{document}$$ \mathrm{n}={\Psi}^2\left(\sum \left({Si}^2\right)/K\right)/\left[\sum {\left(\overline{Xi}-\overline{X}\right)}^2/\left(\mathrm{K}-1\right)\right] $$\end{document}n=Î¨2âSi2/K/âXiÂ¯âXÂ¯2/Kâ1Î±â=â0.05Î²â=â0.10Kâ=â3Î¨: Kâ=â3, degree of freedom V1â=âKâ1â=â2; degree of freedom V2â=âNâ1, N is unknown, assume N as â, according to the T distribution critical values table when Î±â=â0.05 and Î²â=â0.10: Î¨ Î±, Î², Kâ1, ââ=â2.52\documentclass[12pt]{minimal}
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				\begin{document}$$ \overline{Xi} $$\end{document}XiÂ¯ and Si represent mean number (X1â=â2.34, X2â=â3.32, X3â=â3.74) and standard deviation (S1â=â1.6, S2â=â1.53, S3â=â1.1) of group i according to the preliminary trial.\documentclass[12pt]{minimal}
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				\begin{document}$$ \overline{\mathrm{X}} $$\end{document}XÂ¯= (X1â+âX2â+âX3)/Kâ=â(2.34â+â3.32â+â3.74)/3â=â3.13
        The result of calculation was 30 participants in each group. Assuming a 20% dropout rate, a total of 108 participants are required with 36 participants in each group.