statsmodels.stats.contingency_tables.StratifiedTable

class statsmodels.stats.contingency_tables.StratifiedTable(tables, shift_zeros=False)

Analyses for a collection of 2x2 contingency tables

Such a collection may arise by stratifying a single 2x2 table with respect to another factor. This class implements the ‘Cochran-Mantel-Haenszel’ and ‘Breslow-Day’ procedures for analyzing collections of 2x2 contingency tables.

Parameters:

tableslist or ndarray

Either a list containing several 2x2 contingency tables, or a 2x2xk ndarray in which each slice along the third axis is a 2x2 contingency table.

Attributes:

logodds_pooled

Returns the logarithm of the pooled odds ratio

See oddsratio_pooled for more information.

logodds_pooled_se

Estimated standard error of the pooled log odds ratio

Based on work by:

J. Robins, N. Breslow, S. Greenland. “Estimators of the Mantel-Haenszel Variance Consistent in Both Sparse Data and Large-Strata Limiting Models.” Biometrics 42, no. 2 (1986): 311-23.

oddsratio_pooled

The pooled odds ratio

The value is an estimate of a common odds ratio across all of the stratified tables.

riskratio_pooled

Estimate of the pooled risk ratio

Methods

from_data(var1, var2, strata, data)	Construct a StratifiedTable object from data
logodds_pooled_confint([alpha, method])	A confidence interval for the pooled log odds ratio
oddsratio_pooled_confint([alpha, method])	A confidence interval for the pooled odds ratio
summary([alpha, float_format, method])	A summary of all the main results
test_equal_odds([adjust])	Test that all odds ratios are identical
test_null_odds([correction])	Test that all tables have odds ratio equal to 1

Notes

This results are based on a sampling model in which the units are independent both within and between strata.

Methods

from_data(var1, var2, strata, data)	Construct a StratifiedTable object from data
logodds_pooled_confint([alpha, method])	A confidence interval for the pooled log odds ratio
oddsratio_pooled_confint([alpha, method])	A confidence interval for the pooled odds ratio
summary([alpha, float_format, method])	A summary of all the main results
test_equal_odds([adjust])	Test that all odds ratios are identical
test_null_odds([correction])	Test that all tables have odds ratio equal to 1

Properties

logodds_pooled	Returns the logarithm of the pooled odds ratio
logodds_pooled_se	Estimated standard error of the pooled log odds ratio
oddsratio_pooled	The pooled odds ratio
riskratio_pooled	Estimate of the pooled risk ratio