Logistic Regression: A Self-learning Text, Third Edition (Statistics in the Health Sciences)

of estimation for this model is conditional ML estimation. T F 4. Until recently, the most widely available com- puter packages ...

The printout given below comes from a matched case- control study of 313 women in Sydney, Australia (Brock et al., 1988), to ass ...

Answers to Practice Exercises Practice Exercises F: ML estimation is preferred T F: conditional is preferred if number of param ...

5 Statistical Inferences Using Maximum Likelihood Techniques n Contents Introduction 130 Abbreviated Outline Objectives Presenta ...

Introduction We begin our discussion of statistical inference by describ- ing the computer information required for making infer ...

Objectives Upon completion of this chapter, the learner should be able to: State thenull hypothesisfor testing the significance ...

Presentation I. Overview Previous chapter:  How ML methods work  Unconditional vs. conditional approaches FOCUS Testing hypoth ...

dcovð^y 1 ;^y 2 Þ¼r 12 s 1 s 2 Importance ofV^ð^uÞ: Inferences require variances and covariances (3) Variable listing: Variable ...

L^similar toR^2 lnL^ 1 lnL^ 2 lnL^ 3 2lnL^ 3 2lnL^ 2 2lnL^ 1 2lnL^¼log likelihood statistic used in likelihood ratio (LR ...

LR statistic (likeFstatistic) com- pares two models: Full model¼larger model Reduced model¼smaller model H 0 : parameters in ful ...

How the LR test works: IfX 3 makes a large contribution, thenL^ 2 much greater thanL^ 1 IfL^ 2 much larger thanL^ 1 , then L^ 1 ...

IfX 3 makes no contribution, then L^ 2 L^ 1 ) L^ 1 L^ 2 ^1 ) LR2 ln(1)¼ 2  0 ¼ 0 Thus,X 3 nonsignificant)LR 0 0 LR1 "" ...

2lnL^ 2 ,2lnL^ 3 "" Computer prints these separately V. The Wald Test Focus on 1 parameter e.g.,H 0 : b 3 ¼ 0 There are two ad ...

Wald statistic (for largen): Z¼ ^b sb^is approximatelyN(0, 1) or Z^2 is approximatelyw^2 with 1 df Variable ML Coefficient S.E. ...

Wald test for more than one parameter: requires matrices (See Epidemiol. Res., Chap. 20, p. 431 for mathematical formula. Also, ...

CI for coefficient vs. 3 CI for odds ratio As an example, if we focus on theb 3 parameter in Model 2, the 100 times (1a)% confi ...

Chapter 3: Computing OR for dif- ferent codings VII. Interval Estimation: Interaction No interaction: simple formula Interaction ...

General CI formula: exp ^lZ 1 a 2 ffiffiffiffiffiffiffiffiffiffiffiffiffi dvarð^lÞ q Example:l¼b 3 þb 4 X 1 þb 5 X 2 General ...

Interaction: variance calculation difficult No interaction: variance directly from printout var^l  ¼var ~b^iðÞX 1 iX 0 i hi | ...

Some computer packages compute dvar^l  General CI formula for E, V, W model: dOR¼e^l; where l¼bþ~ p 2 j¼ 1 djWj exp ^lZ 1 a ...