Here is the design of a clinical trial:

Official Title: A Randomized, Controlled, Cross-over Trial Investigating the Impact of a High Protein Diet on Substrate Oxidation and Energy Metabolism in Healthy Women

Included conditions:
- Dietary Modification

Study Armgroups:
- {'label': 'Control Group', 'type': 'NO_INTERVENTION', 'description': "Those assigned to the Control Group will receive a eucaloric diet (a diet designed to meet the person's energy needs and maintain body weight) composed of 55% of carbohydrate, 15% of protein, and 30% of lipid."}
- {'label': 'High-Protein Diet Group', 'type': 'EXPERIMENTAL', 'description': 'Those assigned to the High-Protein Diet Group will receive a eucaloric diet composed of 35% of carbohydrate, 40% of protein, and 25% of lipid constructed around a soy protein-based meal replacement (Almased®).', 'interventionNames': ['Other: Diet']}

Interventions:
- {'type': 'OTHER', 'name': 'Diet', 'description': 'The High-Protein Diet Group will receive a eucaloric diet composed of 35% of carbohydrate, 40% of protein, and 25% of lipid constructed around a soy protein-based meal replacement (Almased®) for one and a half day. Participants will consume 1 gram ± 0.1 of Almased® per kg of body weight mixed with linseed oil and skim milk in their breakfast, lunch and dinner. Two snacks (afternoon and evening) composed of 1 gram ± 0.1 of Almased® per kg of body weight mixed with vegetable juice and linseed oil will also be provided.', 'armGroupLabels': ['High-Protein Diet Group']}

Primary Outcomes:
- {'measure': 'Difference in fat balance assessed by indirect calorimetry during 32 hours of a high-protein (HP) total diet replacement compared to 32hours of a control (CON) diet.', 'description': 'To measure the differences in fat balance during 32 hours of a high-protein (HP) total diet replacement compared to 32hours of a control (CON) diet.', 'timeFrame': 'During a 32-hour period while receiving a HP total diet replacement or a CON diet.'}

Please estimate the sample size based on the assumption: 
Two-sided t-test with 88% power, significance level of 0.05, and a 20% attrition rate. An alternative calculation used a two-sided Mann-Whitney test with 90% power, significance level of 0.05, and a 20% attrition rate.
Sample size estimate
          The sample size estimation was conducted separately for each sex. A total of 12 participants will enable detection of an effect size of 1.41, which was calculated based on differences in RQ between dependent groups receiving a HP-TDR (0.85âÂ±â0.03) or maintaining usual dietary intake (0.90âÂ±â0.04) from a previously published study [20]. A two-sided t-test achieves 88% power to infer that the mean difference is not 0.05 when the total sample size of a 2âÃâ2 crossover design is 12, the actual mean difference is 0.06, the standard deviation of the paired difference is 0.01, and the significance level is 0.05. Accounting for a 20% attrition rate, a total sample size of 14 participants of each sex would be needed to complete the study. An alternative sample size calculation was conducted based on differences in fat balance between dependent groups receiving a HP-TDR (5.55 Â± 4.20 g/day) or maintaining usual dietary intake (10.25 Â± 4.19 g/day) using unpublished data from Koohkan et al. (2012) [20]. Group sample sizes of 19 in each arm achieves 90% power to detect a difference of -4.7 g/day with a significance level of 0.05 using a two-sided Mann-Whitney test. Assuming a 20% attrition rate, a total 23 participants would be needed in each group. The sample size calculation was done using PASS Power Analysis and Sample Size software version 19.0.1 (NCSS Statistical Software, Kaysville, Utah, USA).