Estimating the Effect of Leaders on Public Sector Productivity: The Case of School Principals. NBER Working Paper No. 17803.

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The Distribution of Teacher Quality and Implications for Policy (2012, background): “Branch et al. (2012) analyze how principal quality affects teacher mobility and teacher quality.”
The Value of Bosses (2014, unknown): “…on the effects of coaches on performance ðPorter and Scully 1982; Kahn 1993; Dawson, Dobson, and Gerrard 2000; Frick and Simmons 2008; Goodall, Kahn, and Bridgewater 2011; Goodall, Kahn, andOswald 2011Þ. Recent work in education studies the effects of principals ðBranch, Hanushek, and Rivkin 2012Þ.”
The Effect of Principal Behaviors on Student, Teacher, and School Outcomes: A Systematic Review and Meta-Analysis of the Empirical Literature (2019, background): “Branch et al. (2012) estimate as a lower bound that a 1 standard deviation unit more effective principal predicts a 0.05 standard deviation unit increase in students’ rate of achievement growth per year in Texas; their upper-bound estimates suggest effects on the order of 0.20 SD per year.”