Measurement design is deciding, before the work starts, what will be measured, from which source, over what period, and what result would count as success or failure. Without it, results are interpreted afterwards to fit whatever happened.
Google's Performance report is the main first-party source for organic search. It reports clicks, impressions, click-through rate and average position, grouped by query, page, country, device, search appearance and date, and can be filtered by search type such as web, image, video or news. Its time granularity matters for design: weekly and monthly views smooth out fluctuations such as weekends or holidays, while daily views help detect issues or spikes. Google also notes that the newest data can be preliminary and may change.
The traffic-drop guidance adds two design points. Look at 16 months of data and compare against similar periods, so seasonal patterns are not mistaken for effects. And if you want to keep data for longer, use the Search Analytics API or bulk data export to pull data into your own systems. Google's page on bulk data export describes a daily export of performance data to BigQuery, covering all the performance data available for the property except anonymized queries.
Timing needs agreeing too. The SEO Starter Guide says some changes take effect in hours and others take several months, and suggests waiting a few weeks to assess whether work had a beneficial effect. A measurement plan states the baseline, the comparison period and the review date for each change, and records what else changed at the time, such as a site move or a Google update.