Logistic regression 08

Logistic regression 08 - Logistic regression ESM 206C May 6...

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1 Logistic regression ESM 206C May 6 2008

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2 Categorical dependent variables Firm joins Energy Star or not Parcel of land developed as urban, agriculture, or open space Species goes extinct or not Opinion is Strongly Opposed, Opposed, Neutral, Favorable, or Strongly Favorable Residuals will clearly not be normal! Relevant probability distributions are binomial and multinomial Instead of thinking about means, we think about probabilities of a given result Can still do hypothesis testing and fit linear models
3 Tumors and ETU Treated foods contain ETU (ethylenethiourea) – may be harmful to health. Big question: How does exposure affect chance of contracting disease? Some rats exposed to ETU contracted tumors. 6 dose groups (0,5,25,125,250,500) ~70 rats per group. Dose # rats # w/ tumors 0 72 2 5 75 2 25 73 1 125 73 2 250 69 16 500 70 62

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A not very interesting question If I pick a rat at random from the dose=250 group, what is the probability that it has a tumor? 4
If I get a new rat and give it a dose of 250, what is the probability that it will get a tumor? 5

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This note was uploaded on 08/06/2008 for the course ESM 206 taught by Professor Kendall,berkley during the Spring '08 term at UCSB.

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Logistic regression 08 - Logistic regression ESM 206C May 6...

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