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The essence of our approach is to derive the exact leading term behaviour of the Fisher information matrix when both the number of groups and number of observations within each group diverge. This leads to asymptotic normality results with simple studentizable forms. Similar analyses result in tractable leading term forms for the determination of approximate locally D-optimal designs.<\/jats:p>","DOI":"10.1111\/rssb.12473","type":"journal-article","created":{"date-parts":[[2021,11,15]],"date-time":"2021-11-15T06:08:27Z","timestamp":1636956507000},"page":"55-82","source":"Crossref","is-referenced-by-count":19,"title":["Usable and Precise Asymptotics for Generalized Linear Mixed Model Analysis and Design"],"prefix":"10.1093","volume":"84","author":[{"given":"Jiming","family":"Jiang","sequence":"first","affiliation":[{"name":"University of California , Davis, California , USA"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Matt P.","family":"Wand","sequence":"additional","affiliation":[{"name":"University of Technology Sydney , Broadway, New South Wales , Australia"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Aishwarya","family":"Bhaskaran","sequence":"additional","affiliation":[{"name":"University of Technology 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