In this paper, we present new indices for government responses to COVID-19 within six policy areas crucial for understanding the drivers and effects of the pandemic: social distancing, schools, businesses, health monitoring, health resources and mask wearing. We create these measures from combining two of the most comprehensive COVID-19 datasets, the CoronaNet COVID-19 Government Response Event Dataset and the Oxford COVID-19 Government Response Tracker, using a Bayesian time-varying measurement model. Our daily indices track government responses for each of these policy areas from January 1st, 2020 to January 15th, 2021, for over 180 countries. By using a statistical model to generate these indices, we are able to estimate uncertainty within the index and provide external validation for these two COVID-19 policy datasets, showing that though they represent distinct data sources, they show strong convergent validity. We further explore the correlation between these indices and a range of social, public health, political and economic covariates. Our results show that while business restrictions and social distancing restrictions are strongly associated with reduced general anxiety, school restrictions are not. School restrictions are, however, associated with higher rates of personal contact with people outside the home, higher levels of income inequality and bureaucratic corruption. Additionally, we find that female heads of state are more likely to implement a broad array of pandemic-related restrictions than male leaders.