Dairy cattle are cattle that are bred for their ability to produce large quantities of milk. Lameness is a condition that can be detrimental to cattle since it can be painful and result in deleterious effects on the animal’s welfare. It is a condition in which cows have difficulty moving and especially walking. Investigators are interested in whether milk production in dairy cows is associated with whether or not the cow becomes lame. They think that the age of the cow (young or old) may confound and/or modify the relationship between milk production and lameness and so they collect information on the age of the cows as well. The data that cross classifies lame status and milk production status is stratified by age and provided in the tables below. Use SAS to complete each part. (a) Ignoring age, report the estimate for the OR and its corresponding 95% confidence interval. Interpret both. (b) Ignoring age, is milk production associated with lameness? Justify your response using a hypothesis test. (c) Does age modify the association between milk production and lameness? Justify your response with a formal test. Does it make sense to report the Mantel-Haenszel estimate of the OR? Explain why or why not?

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Dairy cattle are cattle that are bred for their ability to produce large quantities of milk. Lameness is a condition that can be detrimental to cattle since it can be painful and result in deleterious effects on the animal’s welfare. It is a condition in which cows have difficulty moving and especially walking. Investigators are interested in whether milk production in dairy cows is associated with whether or not the cow becomes lame. They think that the age of the cow (young or old) may confound and/or modify the relationship between milk production and lameness and so they collect information on the age of the cows as well. The data that cross classifies lame status and milk production status is stratified by age and provided in the tables below. Use SAS to complete each part. (a) Ignoring age, report the estimate for the OR and its corresponding 95% confidence interval. Interpret both. (b) Ignoring age, is milk production associated with lameness? Justify your response using a hypothesis test. (c) Does age modify the association between milk production and lameness? Justify your response with a formal test. Does it make sense to report the Mantel-Haenszel estimate of the OR? Explain why or why not?
Young
High Yield
Low Yield
Lame
43
26
Not Lame
130
277
Old
High Yield
Low Yield
Lame
45
14
Not Lame
286
287
Transcribed Image Text:Young High Yield Low Yield Lame 43 26 Not Lame 130 277 Old High Yield Low Yield Lame 45 14 Not Lame 286 287
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