Here is the design of a clinical trial:

Official Title: Evaluation of the Impact of Non-slip Socks on Motor Recovery in the Elderly An Open Label, Single-center, Randomized, Controlled Pilot Study

Included conditions:
- Aging
- Acute Care Unit
- Fall Injury

Study Armgroups:
- {'label': 'usual care with bare feet', 'type': 'NO_INTERVENTION', 'description': 'patients will be treated barefoot during their stay'}
- {'label': 'specific care with anti-slip socks', 'type': 'EXPERIMENTAL', 'description': 'Patients in this group will wear non-slip socks', 'interventionNames': ['Other: Non-slip socks']}

Interventions:
- {'type': 'OTHER', 'name': 'Non-slip socks', 'description': 'Patients will wear non-slip socks during their hospitalization', 'armGroupLabels': ['specific care with anti-slip socks']}

Primary Outcomes:
- {'measure': 'Change from Baseline walking speed (start of physiotherapy treatment) at D8.', 'description': "Change from Baseline walking speed at the patient's preferred speed over 10m between (start of physiotherapy treatment) at D8.", 'timeFrame': 'Day 8'}

Please estimate the sample size based on the assumption: 
Alpha risk set at 5%, power of 90%, using a two sample t-test.
Sample size determination
        The sample size required for this study was estimated at 46. The calculation was based on a difference of 0.10m/s in the ten-meter timed walk (see below) between the two groups, a standard deviation of the difference of 0.10 (an improvement in walking speed of 0.10m/s is considered clinically relevant in an older adults with mobility disabilities, subacute stroke survivors, and community dwelling older people [22]), an alpha risk set at 5% and a power of 90% (two sample t-test). To guarantee the power of the study, we plan to include 50 patients.