A study was conducted on 60 patients to examine the analgesic effects of treatments on elderly patients with neuralgia. Two test treatments and a placebo were compared. The response variable is whether the patient reported pain or not. Letters A, B, C, D, and E indicate missing numbers from the SAS output. Researchers recorded the following variables:

PAIN: patient reported pain (1=yes, 0=no)

TX: treatment (2=test treatment A, 1=test treatment B, 0=placebo)

AGE: age of the patient when the treatment began (in years)

SEX: sex (1=male, 0=female)

DURATION: duration of complaint before the treatment began (in months)

Testing Global Null Hypothesis: BETA=0

TestChi-SquareDFPr > ChiSq

Likelihood Ratio32.76755<.0001

Score25.666650.0001

Wald14.451250.0130

Type 3 Analysis of Effects

Wald

EffectDFChi-SquarePr > ChiSq

tx212.53100.0019

age17.29770.0069

sex15.29460.0214

duration10.03150.8591

Analysis of Maximum Likelihood Estimates

StandardWald

ParameterDFEstimateErrorChi-SquarePr > ChiSq

Intercept1-17.40666.69146.76690.0093

tx11-3.70851.140710.57000.0011

tx21-3.18171.01619.80490.0017

age10.26210.09707.29770.0069

sex111.83220.79635.29460.0214

duration1-0.005860.03300.03150.8591

Odds Ratio Estimates

Point95% Wald

EffectEstimateConfidence Limits

tx1 vs 0A0.0030.229

tx2 vs 0B0.0060.304

ageC 1.0751.572

sex1 vs 0D1.31229.750

durationE0.9321.061

1.What type of analysis is this?

2.What is the value of the test statistic for the omnibus null hypothesis H₀?

3.Using a 0.05 significance level, what decision and conclusion should you make regarding the omnibus null hypothesis?

4.Are there any reference cells in this problem? If so, what are they?

5.How many dummy variables need to be included in the model for TX?

6.What is the estimated odds ratio for reporting pain for a 65-year-old compared to a 60-year-old, controlling for all other variables in the model?

7.Given the estimated odds of reporting pain for a 65-year-old male in treatment group A with a complaint duration of 14 days is 0.165, what is the corresponding risk of reporting pa