lecture_13

lecture_13 - Three-way Contingency Tables Lecture 13 ILRST...

Info iconThis preview shows pages 1–6. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Three-way Contingency Tables Lecture 13 ILRST 212 Cochran-Mantel Haenszel This section shows whether sample data are consistent with homogenous associations or conditional independence. Cochran Mantel Haenszel method present a test of conditional independence and test of homogenous association for the K conditional odds ratios in 2*2*K tables. Example: table 3.3, page 60 Cochran-Mantel Haenszel For a 2*2*K tables, the null hypothesis that X and Y are conditionally independent, given Z, means that the conditional odds ratio θ xy(k) between X and Y equals 1 in each partial table. Ho: θ xy(1) = θ xy(2) = θ xy(3) = ………………………………… θ xy(k)= 1 Ha: Atleast one of the odds ratio is not equal to 1 Cochran-Mantel Haenszel The test statistic utilizes n 11k in each partial table. When the true odds ratio θ xy(k) exceeds 1.0 in partial table k, we expect to observe (n 11k - 11k ) >0. The test statistic combines these differences across all K tables. μ Cochran-Mantel Haenszel Hence CMH statistic takes larger values when (n 11k - 11k ) is consistently positive or consistently negative for all tables, rather than positive for some or negative for others....
View Full Document

{[ snackBarMessage ]}

Page1 / 18

lecture_13 - Three-way Contingency Tables Lecture 13 ILRST...

This preview shows document pages 1 - 6. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online