I am Egyptian and am travelling to Dominica with a connection in Antigua.
Do I need an Antiguan transit visa?
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As stated in Timatic, the database used by airlines:
Visa required, except for passengers with a valid visa issued by Canada, USA, a Schengen Member State or United Kingdom, visa waiver fee: USD 100.-
So if and only if you already have a Canadian, US, Schengen or UK visa (transit visas also count), you do not need an Antiguan transit visa.
Otherwise, you must apply for one, which can be done here