I want to estimate process SEs for annual survival rate estimates from known fate data. I have monthly data over 19 years. To convert monthly SEs to annual I did the following based on the delta method from Powell 2007:
sqrt(144 * sigma^2 * (Sm * 132)), where sigma^2 is process variance from the variance components analysis and Sm is the mean monthly survival rate (beta hat). Does that seem right? My confusion stems from the Mark book (appendix 4) which states for total variance I have to multiply SE(beta-hat) by the number of years. Do I have to do that with process variances as well? Thanks!
Joe