Assignment 7

pdf

School

Pennsylvania State University *

*We aren’t endorsed by this school

Course

504

Subject

Statistics

Date

Apr 3, 2024

Type

pdf

Pages

Uploaded by ChefLyrebird3739

STAT 504 Assignment [L7] 1. Berkeley admissions data, available within R using the commands below, summarizes depart- ment, sex, and whether the person was accepted or not. data(UCBAdmissions); x = UCBAdmissions If we ignore Department A (so that dept has five levels), perform backward elimination on the full model with dept, sex, and their interaction, using AIC as the criterion for removal. Explain what happens at each step of this procedure, and report the final model. For conve- nience, the data without department A can be read in from the file “admitBCDEF.csv”. x = read.csv("admitBCDEF.csv", header=T) 2. The columns in the data set “Tbl6.15.txt” correspond to duration of surgery (in min), type of device used to secure the airway (0=laryngeal mask, 1=tracheal tube), and whether the patient experienced a sore throat on waking (1=yes, 0=no). (a) With sore throat as the event of interest, consider the logistic model with both main effects (duration and type) and their interaction. What would interaction imply about the odds ratio for sore throat when comparing the two type groups? (b) Explain why the interaction is not an important term to include in this model. To support your answer, report either the LRT or the Wald test statistic and the AIC for models with and without the interaction term. (c) Report the fitted model (additive) model without the interaction term. In terms of the odds of sore throat, interpret the parameter estimates. (d) Summarize the predictive power of this model using a classification table. Report and interpret the sensitivity and specificity. You may use π 0 = . 5. 3. Consider a 2 × 3 × 3 table representing variables A, B, C, where we use logistic regression to estimate the probability of success for the first variable (A). (a) How many parameters does the full (saturated) model have? Write down the logistic regression equation. (b) Write the logistic regression equation for the model predicting A from B alone. How many degrees of freedom will the goodness of fit test have? (c) Write the logistic regression equation for the model predicting A from B and C with no interaction. How many degrees of freedom will the goodness of fit test have?

Discover more documents: Sign up today!

Unlock a world of knowledge! Explore tailored content for a richer learning experience. Here's what you'll get:

Access to all documents
Unlimited textbook solutions
24/7 expert homework help

Related Documents

Worksheet 03.pdf

05.30 HW.doc

04.30.pdf

03.30Homework Set 2 .docx

Test 2_Key.pdf

Exam2_Review2.pdf

Lab Report Statistical Analysis on Genetic Data - Rayana Rankoussi (1).docx

IDS 575 PS3.pdf

Segmentation.xlsx

Segmentation-3.xlsx

Practice Questions 3 final.docx

Assignment1 Stats.docx

Recommended textbooks for you

Linear Algebra: A Modern Introduction

Algebra

ISBN:9781285463247

Author:David Poole

Publisher:Cengage Learning

Glencoe Algebra 1, Student Edition, 9780079039897...

Algebra

ISBN:9780079039897

Author:Carter

Publisher:McGraw Hill

Big Ideas Math A Bridge To Success Algebra 1: Stu...

Algebra

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:Houghton Mifflin Harcourt

Holt Mcdougal Larson Pre-algebra: Student Edition...

Algebra

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Functions and Change: A Modeling Approach to Coll...

Algebra

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Cengage Learning

SEE MORE TEXTBOOKS

Recommended textbooks for you

Linear Algebra: A Modern Introduction
Algebra
ISBN:9781285463247
Author:David Poole
Publisher:Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu...
Algebra
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:Houghton Mifflin Harcourt
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Functions and Change: A Modeling Approach to Coll...
Algebra
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Cengage Learning