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We propose test procedures based on the empirical likelihood with bias-corrected estimating equations to conduct both pointwise and simultaneous inferences. The asymptotic distributions of the test statistics are derived under the null and local alternative hypotheses, where sparse and dense functional data are considered in a unified framework. We find a phase transition in the asymptotic null distributions and the orders of detectable alternatives from sparse to dense functional data. Specifically, the tests proposed can detect alternatives of \u221an-order when the number of repeated measurements per curve is of an order larger than n\u03b70 with n being the number of curves. The transition points \u03b70 for pointwise and simultaneous tests are different and both are smaller than the transition point in the estimation problem. Simulation studies and real data analyses are conducted to demonstrate the methods proposed.<\/jats:p>","DOI":"10.1111\/rssb.12246","type":"journal-article","created":{"date-parts":[[2017,9,6]],"date-time":"2017-09-06T06:10:43Z","timestamp":1504678243000},"page":"343-364","source":"Crossref","is-referenced-by-count":27,"title":["Unified Empirical Likelihood Ratio Tests for Functional Concurrent Linear Models and the Phase Transition from Sparse to Dense Functional Data"],"prefix":"10.1093","volume":"80","author":[{"given":"Honglang","family":"Wang","sequence":"first","affiliation":[{"name":"Indiana University\u2013Purdue University , Indianapolis , USA"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Ping-Shou","family":"Zhong","sequence":"additional","affiliation":[{"name":"Michigan State University , East Lansing , USA"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yuehua","family":"Cui","sequence":"additional","affiliation":[{"name":"Michigan State University , East Lansing , USA"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yehua","family":"Li","sequence":"additional","affiliation":[{"name":"Iowa State University , Ames , USA"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"286","published-online":{"date-parts":[[2017,9,6]]},"reference":[{"key":"2023022101105556500_","doi-asserted-by":"crossref","DOI":"10.7551\/mitpress\/8764.001.0001","volume-title":"Statistical Analysis of fMRI Data","author":"Ashby","year":"2011"},{"key":"2023022101105556500_","doi-asserted-by":"crossref","first-page":"386","DOI":"10.1016\/0022-247X(60)90012-3","article-title":"Estimation and detection theory for multiple stochastic processes","volume":"1","author":"Balakrishnan","year":"1960","journal-title":"J. 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