Module Expr Str ImportFrom alias alias alias Import alias Import alias identifier ImportFrom alias ImportFrom alias ImportFrom alias ImportFrom alias alias Expr Call AttributeLoad NameLoad attr keyword Dict Str Lambda arguments args NameParam defaults BinOpMod Str NameLoad keyword NameLoad Assign NameStore Call NameLoad Str Str ClassDef bases NameLoad body Assign NameStore NameLoad Assign NameStore NameLoad Assign NameStore NameLoad Assign NameStore NameLoad Assign NameStore NameLoad Assign NameStore NameLoad Assign NameStore NameLoad Assign NameStore NameLoad Assign NameStore ListLoad Num Num FunctionDef arguments args NameParam NameParam defaults body Raise NameLoad decorator_list decorator_list ClassDef bases NameLoad body Assign NameStore ListLoad Lambda arguments args NameParam NameParam defaults Call AttributeLoad NameLoad attr Call AttributeLoad NameLoad attr BinOpPow BinOpSub NameLoad NameLoad Num FunctionDef arguments args NameParam NameParam defaults body Expr Call AttributeLoad NameLoad attr BinOpMod Str SubscriptLoad NameLoad Index Num Expr Call AttributeLoad NameLoad attr BinOpMod Str SubscriptLoad AttributeLoad NameLoad attr Index Num Expr Call AttributeLoad NameLoad attr BinOpMod Str SubscriptLoad NameLoad Index Num Expr Call AttributeLoad NameLoad attr BinOpMod Str BinOpPow AttributeLoad NameLoad attr Num Expr Call AttributeLoad NameLoad attr Str decorator_list FunctionDef arguments args NameParam defaults body Assign TupleStore NameStore NameStore NameStore NameStore TupleLoad ListLoad ListLoad ListLoad ListLoad For NameStore Call NameLoad AttributeLoad NameLoad attr body Assign NameStore Call AttributeLoad AttributeLoad NameLoad attr attr SubscriptLoad AttributeLoad NameLoad attr Index Num SubscriptLoad AttributeLoad NameLoad attr Index Num Expr Call AttributeLoad NameLoad attr BinOpMult ListLoad NameLoad NameLoad Assign NameStore Call AttributeLoad AttributeLoad NameLoad attr attr keyword TupleLoad NameLoad Num Expr Call AttributeLoad NameLoad attr NameLoad Assign NameStore Call AttributeLoad AttributeLoad NameLoad attr attr keyword TupleLoad NameLoad Num Assign SubscriptStore NameLoad ExtSlice Slice Index Num Num Expr Call AttributeLoad NameLoad attr NameLoad Assign NameStore Call AttributeLoad AttributeLoad AttributeLoad NameLoad attr attr attr NameLoad NameLoad SubscriptLoad AttributeLoad NameLoad attr Index Num Assign NameStore BinOpPow SubscriptLoad AttributeLoad NameLoad attr Index Num NameLoad Assign NameStore Call AttributeLoad AttributeLoad NameLoad attr attr NameLoad Assign NameStore Call AttributeLoad NameLoad attr NameLoad Call AttributeLoad AttributeLoad NameLoad attr attr keyword NameLoad Assign NameStore BinOpAdd Call AttributeLoad NameLoad attr NameLoad AttributeLoad NameLoad attr BinOpMult NameLoad AttributeLoad NameLoad attr Expr Call AttributeLoad NameLoad attr NameLoad Assign AttributeStore NameLoad attr Call AttributeLoad NameLoad attr NameLoad keyword Num Assign AttributeStore NameLoad attr Call AttributeLoad NameLoad attr NameLoad Assign AttributeStore NameLoad attr Call AttributeLoad NameLoad attr NameLoad keyword Num Assign AttributeStore NameLoad attr Call AttributeLoad NameLoad attr NameLoad decorator_list decorator_list ClassDef bases NameLoad body Assign NameStore NameLoad Assign NameStore NameLoad FunctionDef arguments args NameParam NameParam defaults body For NameStore Call NameLoad Call NameLoad AttributeLoad NameLoad attr body Expr Call AttributeLoad NameLoad attr BinOpMod Str TupleLoad BinOpAdd NameLoad Num SubscriptLoad NameLoad Index NameLoad Expr Call AttributeLoad NameLoad attr BinOpMod Str TupleLoad BinOpAdd NameLoad Num SubscriptLoad AttributeLoad NameLoad attr Index NameLoad Expr Call AttributeLoad NameLoad attr BinOpMod Str BinOpSub SubscriptLoad NameLoad Index Num Call NameLoad SubscriptLoad NameLoad Slice Num Num Expr Call AttributeLoad NameLoad attr BinOpMod Str BinOpPow AttributeLoad NameLoad attr Num Expr Call AttributeLoad NameLoad attr Str decorator_list FunctionDef arguments args NameParam defaults body Assign NameStore SubscriptLoad AttributeLoad NameLoad attr Index Num Assign NameStore SubscriptLoad AttributeLoad NameLoad attr Slice Num Expr Call AttributeLoad NameLoad attr Num Assign TupleStore NameStore NameStore NameStore NameStore TupleLoad ListLoad ListLoad ListLoad ListLoad For NameStore Call NameLoad AttributeLoad NameLoad attr body Assign NameStore ListComp Call NameLoad NameLoad comprehension NameStore AttributeLoad NameLoad attr Assign NameStore ListComp BinOpMult Call AttributeLoad NameLoad attr NameLoad Call AttributeLoad AttributeLoad NameLoad attr attr keyword NameLoad comprehension TupleStore NameStore NameStore Call NameLoad NameLoad AttributeLoad NameLoad attr Assign NameStore BinOpMult Call AttributeLoad AttributeLoad NameLoad attr attr Call AttributeLoad NameLoad attr NameLoad Assign NameStore ListLoad For NameStore AttributeLoad NameLoad attr body Expr Call AttributeLoad NameLoad attr Call NameLoad For NameStore Call NameLoad NameLoad body Expr Call AttributeLoad NameLoad attr NameLoad Assign NameStore BinOpAdd NameLoad Call NameLoad ListComp SubscriptLoad NameLoad Index NameLoad comprehension TupleStore NameStore NameStore Call NameLoad NameLoad NameLoad Assign NameStore Call AttributeLoad AttributeLoad NameLoad attr attr keyword Num Assign SubscriptStore NameLoad Index Num Num Expr Call AttributeLoad NameLoad attr NameLoad Assign NameStore BinOpAdd NameLoad BinOpMult AttributeLoad NameLoad attr Call AttributeLoad AttributeLoad NameLoad attr attr Assign NameStore BinOpAdd Call AttributeLoad NameLoad attr NameLoad AttributeLoad NameLoad attr NameLoad Expr Call AttributeLoad NameLoad attr NameLoad For NameStore Call NameLoad Call NameLoad NameLoad body Expr Call AttributeLoad SubscriptLoad NameLoad Index NameLoad attr Call NameLoad SubscriptLoad NameLoad Slice Num BinOpAdd NameLoad Num Assign NameStore ListComp BinOpSub Call NameLoad NameLoad Num comprehension NameStore NameLoad Expr Call AttributeLoad NameLoad attr SubscriptLoad NameLoad Slice Num Num Assign AttributeStore NameLoad attr Call AttributeLoad NameLoad attr NameLoad Assign AttributeStore NameLoad attr Call AttributeLoad NameLoad attr NameLoad Assign AttributeStore NameLoad attr Call AttributeLoad NameLoad attr NameLoad Assign AttributeStore NameLoad attr Call AttributeLoad NameLoad attr NameLoad Assign AttributeStore NameLoad attr Call AttributeLoad NameLoad attr AttributeLoad NameLoad attr decorator_list decorator_list FunctionDef arguments args NameParam NameParam NameParam defaults body Expr Str decorator_list FunctionDef arguments args NameParam defaults body FunctionDef arguments args NameParam defaults NameLoad body Assign NameStore Call NameLoad Assign AttributeStore NameLoad attr Num Assign AttributeStore NameLoad attr SubscriptLoad AttributeLoad NameLoad attr Index TupleLoad Num Num Num Num Num Assign AttributeStore NameLoad attr Num Assign AttributeStore NameLoad attr ListLoad NameLoad Expr Call AttributeLoad NameLoad attr Return TupleLoad NameLoad Call NameLoad decorator_list Return NameLoad decorator_list FunctionDef arguments args NameParam defaults body FunctionDef arguments args defaults body Assign NameStore Call NameLoad Assign AttributeStore NameLoad attr Num Assign AttributeStore NameLoad attr SubscriptLoad AttributeLoad NameLoad attr Index TupleLoad Num Num Num Num Num Assign AttributeStore NameLoad attr Num Assign AttributeStore NameLoad attr ListLoad NameLoad Expr Call AttributeLoad NameLoad attr Return TupleLoad NameLoad Call NameLoad decorator_list Return NameLoad decorator_list FunctionDef arguments args defaults body Assign NameStore Call NameLoad Assign AttributeStore NameLoad attr Num Assign AttributeStore NameLoad attr SubscriptLoad AttributeLoad NameLoad attr Index TupleLoad Num Num Num Num Num Assign AttributeStore NameLoad attr Num Assign AttributeStore NameLoad attr ListLoad Num Num Assign AttributeStore NameLoad attr ListLoad Num Num Expr Call AttributeLoad NameLoad attr Return TupleLoad NameLoad Call NameLoad AttributeLoad NameLoad attr decorator_list FunctionDef arguments args defaults body Assign NameStore Call NameLoad Assign AttributeStore NameLoad attr Num Assign AttributeStore NameLoad attr SubscriptLoad AttributeLoad NameLoad attr Index TupleLoad Num Num Num Num Num Assign AttributeStore NameLoad attr Num Assign AttributeStore NameLoad attr ListLoad Num Num Assign AttributeStore NameLoad attr ListLoad Num Num Expr Call AttributeLoad NameLoad attr Return TupleLoad NameLoad Call NameLoad AttributeLoad NameLoad attr decorator_list Assign NameStore Num Assign NameStore ListComp Call NameLoad NameLoad comprehension NameStore TupleLoad Num Num Num Expr Call AttributeLoad NameLoad attr ListComp Call NameLoad NameLoad comprehension NameStore TupleLoad Num Num Num Expr Call AttributeLoad NameLoad attr ListLoad NameLoad NameLoad Assign NameStore Call AttributeLoad NameLoad attr ListLoad ListLoad Num Num Num Num Num Assign NameStore SubscriptLoad AttributeLoad NameLoad attr Index TupleLoad Num For NameStore NameLoad body Assign NameStore ListLoad Assign NameStore ListLoad Assign NameStore ListLoad Assign NameStore ListLoad For NameStore Call NameLoad NameLoad body Assign TupleStore NameStore NameStore Call NameLoad Assign NameStore Call NameLoad Assign NameStore Call NameLoad AttributeLoad NameLoad attr AttributeLoad NameLoad attr AttributeLoad NameLoad attr AttributeLoad NameLoad attr NameLoad NameLoad Assign NameStore Call AttributeLoad NameLoad attr Assign NameStore BinOpDiv Num Call AttributeLoad NameLoad attr Expr Call AttributeLoad NameLoad attr SubscriptLoad AttributeLoad NameLoad attr Index TupleLoad AttributeLoad NameLoad attr NameLoad Expr Call AttributeLoad NameLoad attr Call AttributeLoad NameLoad attr AttributeLoad NameLoad attr Expr Call AttributeLoad NameLoad attr Call AttributeLoad NameLoad attr AttributeLoad NameLoad attr Assign TupleStore NameStore NameStore Call NameLoad Assign NameStore Call NameLoad Assign NameStore Call NameLoad AttributeLoad NameLoad attr AttributeLoad NameLoad attr AttributeLoad NameLoad attr AttributeLoad NameLoad attr NameLoad NameLoad keyword TupleLoad NameLoad NameLoad Assign NameStore Call AttributeLoad NameLoad attr Assign NameStore AttributeLoad NameLoad attr Assign NameStore SubscriptLoad NameLoad Index Str Expr Call AttributeLoad NameLoad attr NameLoad Assign NameStore Call AttributeLoad NameLoad attr BinOpDiv Call NameLoad NameLoad Call NameLoad NameLoad Expr Call AttributeLoad NameLoad attr Str Expr Call AttributeLoad NameLoad attr NameLoad Assign NameStore Call AttributeLoad NameLoad attr NameLoad Assign NameStore Call AttributeLoad NameLoad attr Num Assign NameStore Call AttributeLoad NameLoad attr Num Assign NameStore Call AttributeLoad NameLoad attr NameLoad Assign NameStore Call AttributeLoad NameLoad attr Num Expr Call AttributeLoad NameLoad attr Str Expr Call AttributeLoad NameLoad attr Str Expr Call AttributeLoad NameLoad attr BinOpAdd Call AttributeLoad NameLoad attr NameLoad Str Expr Call AttributeLoad NameLoad attr Str Expr Call AttributeLoad NameLoad attr BinOpAdd Call AttributeLoad NameLoad attr AttributeLoad NameLoad attr Str Expr Call AttributeLoad NameLoad attr Str Expr Call AttributeLoad NameLoad attr BinOpAdd Call AttributeLoad NameLoad attr BinOpSub NameLoad AttributeLoad NameLoad attr Str Expr Call AttributeLoad NameLoad attr Str Expr Call AttributeLoad NameLoad attr BinOpAdd Call AttributeLoad NameLoad attr BinOpDiv BinOpSub NameLoad AttributeLoad NameLoad attr AttributeLoad NameLoad attr Str Expr Call AttributeLoad NameLoad attr Str Expr Call AttributeLoad NameLoad attr Str Expr Call AttributeLoad NameLoad attr Str Expr Call AttributeLoad NameLoad attr BinOpAdd Call AttributeLoad NameLoad attr NameLoad Str Expr Call AttributeLoad NameLoad attr Str Expr Call AttributeLoad NameLoad attr BinOpAdd Call AttributeLoad NameLoad attr NameLoad Str Expr Call AttributeLoad NameLoad attr Str Expr Call AttributeLoad NameLoad attr BinOpAdd Call AttributeLoad NameLoad attr BinOpSub NameLoad NameLoad Str Expr Call AttributeLoad NameLoad attr Str Expr Call AttributeLoad NameLoad attr BinOpAdd Call AttributeLoad NameLoad attr BinOpDiv BinOpSub NameLoad NameLoad NameLoad Str Expr Call AttributeLoad NameLoad attr Str Expr Call AttributeLoad NameLoad attr Expr Call AttributeLoad NameLoad attr Str Expr Call AttributeLoad NameLoad attr Str Expr Call AttributeLoad NameLoad attr BinOpAdd Call AttributeLoad NameLoad attr NameLoad Str Expr Call AttributeLoad NameLoad attr Str Expr Call AttributeLoad NameLoad attr BinOpAdd Call AttributeLoad NameLoad attr NameLoad Str Expr Call AttributeLoad NameLoad attr Str For NameStore Call AttributeLoad NameLoad attr Num Num Num body Expr Call AttributeLoad NameLoad attr BinOpMod Str TupleLoad SubscriptLoad NameLoad Index Call NameLoad BinOpMult NameLoad Call NameLoad NameLoad NameLoad Expr Call AttributeLoad NameLoad attr BinOpAdd BinOpMult Str Num Str Expr Call AttributeLoad NameLoad attr
N/A N/A 
Assesment of Generalized Estimating Equations using simulation.

Only Gaussian models are currently checked.

See the generated file "gee_simulation_check.txt" for results.
 statsmodels.compat.python range lrange zip N/A scipy N/A numpy np itertools product statsmodels.genmod.families Gaussian statsmodels.genmod.generalized_estimating_equations GEE statsmodels.genmod.cov_struct Autoregressive Nested N/A N/A N/A np set_printoptions formatter N/A all N/A N/A N/A x N/A N/A %8.3f x suppress True N/A OUT N/A open gee_simulation_check.txt w GEE_simulator N/A object N/A N/A ngroups None N/A error_sd None N/A params None N/A dparams None N/A exog None N/A endog None N/A time None N/A group None N/A group_size_range N/A 4 11 print_dparams N/A N/A self dparams_est N/A N/A N/A NotImplementedError N/A N/A AR_simulator N/A GEE_simulator N/A N/A distfun N/A N/A N/A N/A x y N/A N/A N/A np sqrt N/A N/A np sum N/A N/A x y 2 print_dparams N/A N/A self dparams_est N/A N/A N/A N/A N/A OUT write N/A AR coefficient estimate:   %8.4f
 N/A dparams_est N/A 0 N/A N/A N/A OUT write N/A AR coefficient truth:      %8.4f
 N/A N/A self dparams N/A 0 N/A N/A N/A OUT write N/A Error variance estimate:   %8.4f
 N/A dparams_est N/A 1 N/A N/A N/A OUT write N/A Error variance truth:      %8.4f
 N/A N/A self error_sd 2 N/A N/A N/A OUT write N/A simulate N/A N/A self N/A N/A N/A N/A endog exog group time N/A N/A N/A N/A N/A N/A i N/A range N/A self ngroups N/A N/A gsize N/A N/A N/A np random randint N/A N/A self group_size_range N/A 0 N/A N/A self group_size_range N/A 1 N/A N/A N/A group append N/A N/A i gsize N/A time1 N/A N/A N/A np random normal size N/A gsize 2 N/A N/A N/A time append time1 N/A exog1 N/A N/A N/A np random normal size N/A gsize 5 N/A N/A exog1 N/A N/A N/A 0 1 N/A N/A N/A exog append exog1 N/A distances N/A N/A N/A N/A scipy spatial distance cdist time1 time1 N/A N/A self distfun N/A 0 N/A correlations N/A N/A N/A self dparams N/A 0 distances N/A correlations_sr N/A N/A N/A np linalg cholesky correlations N/A errors N/A N/A np dot correlations_sr N/A N/A N/A np random normal size gsize N/A endog1 N/A N/A N/A np dot exog1 N/A self params N/A errors N/A self error_sd N/A N/A N/A endog append endog1 N/A N/A self exog N/A N/A np concatenate exog axis 0 N/A N/A self endog N/A N/A np concatenate endog N/A N/A self time N/A N/A np concatenate time axis 0 N/A N/A self group N/A N/A np concatenate group N/A N/A Nested_simulator N/A GEE_simulator N/A N/A nest_sizes None N/A id_matrix None print_dparams N/A N/A self dparams_est N/A N/A N/A j N/A range N/A len N/A self nest_sizes N/A N/A N/A N/A OUT write N/A Nest %d variance estimate:  %8.4f
 N/A N/A j 1 N/A dparams_est N/A j N/A N/A N/A OUT write N/A Nest %d variance truth:     %8.4f
 N/A N/A j 1 N/A N/A self dparams N/A j N/A N/A N/A OUT write N/A Error variance estimate:   %8.4f
 N/A N/A dparams_est N/A -1 N/A sum N/A dparams_est N/A 0 -1 N/A N/A N/A OUT write N/A Error variance truth:      %8.4f
 N/A N/A self error_sd 2 N/A N/A N/A OUT write N/A simulate N/A N/A self N/A N/A N/A group_effect_var N/A N/A self dparams N/A 0 N/A vcomp N/A N/A self dparams N/A 1 N/A N/A N/A vcomp append 0 N/A N/A endog exog group id_matrix N/A N/A N/A N/A N/A N/A i N/A range N/A self ngroups N/A N/A iterators N/A N/A lrange n N/A n N/A self nest_sizes N/A variances N/A N/A N/A N/A np sqrt v N/A N/A N/A np random normal size n N/A N/A v n N/A zip vcomp N/A self nest_sizes N/A gpe N/A N/A N/A N/A np random normal N/A N/A np sqrt group_effect_var N/A nest_all N/A N/A j N/A self nest_sizes N/A N/A N/A N/A nest_all append N/A set N/A nest N/A product iterators N/A N/A N/A N/A group append i N/A ref N/A gpe N/A sum N/A N/A v N/A j N/A N/A v j N/A zip variances nest N/A exog1 N/A N/A N/A np random normal size 5 N/A N/A exog1 N/A 0 1 N/A N/A N/A exog append exog1 N/A error N/A ref N/A N/A self error_sd N/A N/A N/A np random normal N/A endog1 N/A N/A N/A np dot exog1 N/A self params error N/A N/A N/A endog append endog1 N/A j N/A range N/A len nest N/A N/A N/A N/A N/A nest_all N/A j add N/A tuple N/A nest N/A 0 N/A j 1 N/A nest1 N/A N/A N/A len x 1 N/A x nest_all N/A N/A N/A id_matrix append N/A nest1 N/A 0 -1 N/A N/A self exog N/A N/A np array exog N/A N/A self endog N/A N/A np array endog N/A N/A self group N/A N/A np array group N/A N/A self id_matrix N/A N/A np array id_matrix N/A N/A self time N/A N/A np zeros_like N/A self endog N/A N/A check_constraint N/A N/A da va ga N/A N/A N/A 
    Check the score testing of the parameter constraints.
     N/A gen_gendat_ar0 N/A N/A ar N/A N/A gendat_ar0 N/A N/A msg N/A False N/A N/A ars N/A AR_simulator N/A N/A ars ngroups 200 N/A N/A ars params N/A N/A np r_ N/A N/A 0 -1 1 0 0.5 N/A N/A ars error_sd 2 N/A N/A ars dparams N/A ar N/A N/A N/A ars simulate N/A N/A ars N/A Autoregressive N/A N/A gendat_ar0 N/A gen_gendat_ar1 N/A N/A ar N/A N/A gendat_ar1 N/A N/A N/A N/A N/A ars N/A AR_simulator N/A N/A ars ngroups 200 N/A N/A ars params N/A N/A np r_ N/A N/A 0 -0.8 1.2 0 0.5 N/A N/A ars error_sd 2 N/A N/A ars dparams N/A ar N/A N/A N/A ars simulate N/A N/A ars N/A Autoregressive N/A N/A gendat_ar1 N/A gendat_nested0 N/A N/A N/A N/A N/A ns N/A Nested_simulator N/A N/A ns error_sd 1.0 N/A N/A ns params N/A N/A np r_ N/A N/A 0.0 1 1 -1 -1 N/A N/A ns ngroups 50 N/A N/A ns nest_sizes N/A 10 5 N/A N/A ns dparams N/A 2.0 1.0 N/A N/A N/A ns simulate N/A N/A ns N/A Nested N/A ns id_matrix N/A gendat_nested1 N/A N/A N/A N/A N/A ns N/A Nested_simulator N/A N/A ns error_sd 2.0 N/A N/A ns params N/A N/A np r_ N/A N/A 0 1 1.3 -0.8 -1.2 N/A N/A ns ngroups 50 N/A N/A ns nest_sizes N/A 10 5 N/A N/A ns dparams N/A 1.0 3.0 N/A N/A N/A ns simulate N/A N/A ns N/A Nested N/A ns id_matrix N/A N/A nrep 100 N/A gendats N/A N/A gen_gendat_ar0 ar N/A ar N/A 0 0.3 0.6 N/A N/A N/A gendats extend N/A N/A gen_gendat_ar1 ar N/A ar N/A 0 0.3 0.6 N/A N/A N/A gendats extend N/A gendat_nested0 gendat_nested1 N/A lhs N/A N/A np array N/A N/A 0.0 1 1 0 0 N/A rhs N/A N/A np r_ N/A N/A 0.0 N/A gendat gendats N/A N/A pvalues N/A N/A params N/A N/A std_errors N/A N/A dparams N/A N/A j N/A range nrep N/A N/A N/A da va N/A gendat N/A ga N/A Gaussian N/A md N/A GEE N/A da endog N/A da exog N/A da group N/A da time ga va N/A mdf N/A N/A md fit N/A scale_inv N/A 1 N/A N/A md estimate_scale N/A N/A N/A dparams append N/A N/A np r_ N/A N/A N/A va dparams scale_inv N/A N/A N/A params append N/A N/A np asarray N/A mdf params N/A N/A N/A std_errors append N/A N/A np asarray N/A mdf standard_errors N/A N/A da va N/A gendat N/A ga N/A Gaussian N/A md N/A GEE N/A da endog N/A da exog N/A da group N/A da time ga va constraint N/A lhs rhs N/A mdf N/A N/A md fit N/A score N/A md score_test_results N/A pvalue N/A score N/A p-value N/A N/A N/A pvalues append pvalue N/A dparams_mean N/A N/A np array N/A N/A sum dparams N/A len dparams N/A N/A N/A OUT write Checking dependence parameters:
 N/A N/A N/A da print_dparams dparams_mean N/A params N/A N/A np array params N/A eparams N/A N/A params mean 0 N/A sdparams N/A N/A params std 0 N/A std_errors N/A N/A np array std_errors N/A std_errors N/A N/A std_errors mean 0 N/A N/A N/A OUT write Checking parameter values:
 N/A N/A N/A OUT write Observed:             N/A N/A N/A OUT write N/A N/A N/A np array_str eparams N/A N/A N/A OUT write Expected:             N/A N/A N/A OUT write N/A N/A N/A np array_str N/A da params N/A N/A N/A OUT write Absolute difference:  N/A N/A N/A OUT write N/A N/A N/A np array_str N/A eparams N/A da params N/A N/A N/A OUT write Relative difference:  N/A N/A N/A OUT write N/A N/A N/A np array_str N/A N/A eparams N/A da params N/A da params N/A N/A N/A OUT write N/A N/A N/A OUT write Checking standard errors
 N/A N/A N/A OUT write Observed:             N/A N/A N/A OUT write N/A N/A N/A np array_str sdparams N/A N/A N/A OUT write Expected:             N/A N/A N/A OUT write N/A N/A N/A np array_str std_errors N/A N/A N/A OUT write Absolute difference:  N/A N/A N/A OUT write N/A N/A N/A np array_str N/A sdparams std_errors N/A N/A N/A OUT write Relative difference:  N/A N/A N/A OUT write N/A N/A N/A np array_str N/A N/A sdparams std_errors std_errors N/A N/A N/A OUT write N/A N/A N/A pvalues sort N/A N/A N/A OUT write Checking constrained estimation:
 N/A N/A N/A OUT write Left hand side:
 N/A N/A N/A OUT write N/A N/A N/A np array_str lhs N/A N/A N/A OUT write Right hand side:
 N/A N/A N/A OUT write N/A N/A N/A np array_str rhs N/A N/A N/A OUT write Observed p-values   Expected Null p-values
 N/A q N/A N/A np arange 0.1 0.91 0.1 N/A N/A N/A N/A OUT write N/A %20.3f %20.3f
 N/A N/A pvalues N/A N/A int N/A q N/A len pvalues q N/A N/A N/A OUT write N/A N/A = 80 N/A N/A N/A OUT close