'impartially-determined' originates from the combination of 'impartial' and 'determine'. 'Impartial' comes from the Latin 'impartialis', where 'im-' meant 'not' and 'partialis' meant 'partial'. 'Determine' comes from the Latin 'determinare', where 'de-' meant 'off' and 'terminare' meant 'to limit'.

'Impartial' evolved from the Middle English 'impartial', and 'determine' evolved from the Middle English 'determinen', eventually forming the modern English term 'impartially-determined'.

Initially, 'impartial' meant 'not partial', and 'determine' meant 'to limit or decide'. Over time, 'impartially-determined' evolved to mean 'decided without bias'.