csv.covariate_spline¶

Create Spline Functions For Covariates¶

Prototype¶

# at_cascade.csv.covariate_spline
def covariate_spline(covariate_table , node_set) :
   assert type( covariate_table ) == list
   assert type( covariate_table[0] ) == dict
   assert type( node_set ) == set
   # ...
   assert type(age_grid) == list
   assert type(time_grid) == list
   assert type(spline_cov) == dict
   return age_grid, time_grid, spline_cov

covariate_table¶

Is a list of dict representation of a covariate.csv file. All of the keys in this dict are covariate names except for node_name , sex, age , time and omega . All of the columns have been converted to type float except for node_name and sex which have type str .

node_set¶

This is the set of nodes in node.csv

age_grid¶

This is a sorted list of float containing the age values that are present for each node_name and sex.

time_grid¶

This is a sorted list of float containing the time values that are present for each node_name and sex.

spline_cov¶

This is a dict of dict of dict. Let spline be defined by

for node_name in covariate_table

for sex in covariate_table

for cov_name a covariate name or omega
spline = spline_cov[node_name][sex][cov_name]

Then spline is the corresponding function of age and time; i.e.,

   z = spline(age, time)

sets z to the value of the covariate or omega for the specified age, time, node_name, and sex where age, time, and z are floats.

Side Effects¶

This routine aborts with an assert if covariate.csv does not have the same rectangular grid in age and time for each (node_name, sex) pair.