首页 >
> 详细

Mid-term Project of 6289 (Due: Oct 29, 2019) Name:

• You need to submit your answers before 2:00pm of Oct 29.

• You may talk with one another about the project, but the work you turn in should be

your own.

• Use a word processor that can handle mathematics (like LATEX or word) and can

include graphics. No handwriting is accepted.

• Finalize your codes (with file name: yourname-6289.*) and email me a copy

for verifying

1. (80) Duchenne Muscular Dystrophy (DMD) is a sex-linked genetic disease. Boys with

the disease usually die at a young age, while affected girls usually do not suffer symptoms

and may unknowingly carry the disease and pass it to their offspring. It is

desirable to have some kind of test to detect whether or not a woman is a carrier of

the disease. The dataset dystrophy.txt contains information from a 1981 study attempting

to develop such a test based on two serum enzymes, creatine kinase (CK) and

hemopexin (H) for 38 known DMD carriers (Case) and 82 women who are not carriers

(Control). (Note: In the last 30 years, advances in DNA sequencing technology has

made it possible obtain definitive answers; however, tests based on the above proteins

are still used as rapid and inexpensive alternatives).

(a) Use logistic regression to model the way in which case/control status depends

on creatine kinase and hemopexin. Construct (using the Wald approach) a table

containing the estimated odds ratios and p-values for the two enzymes. Provide

confidence intervals for the odds ratios, and give some thought as to what would

constitute a meaningful difference (δj ) for the two enzymes when calculating the

odds ratios.

(b) Can you calculate confidence intervals for the odds ratios in part (a) using the

likelihood ratio approach? If so, calculate them. If not, explain why you can’t do

so.

(c) Can you carry out the hypothesis testing in part (a) using the likelihood ratio

approach? If so, perform the tests. If not, explain why you can’t do so.

(d) Describe (quantitatively) the relationship between creatine kinase levels and the

likelihood that a woman is a carrier without using the phrase “odds ratio” (you

can use “odds”, just not “odds ratio”).

(e) Suppose a woman randomly selected from the population has a hemopexin level

of 100 and a creatine kinase level of 150. Can you estimate the probability that

she is a carrier? If so, estimate it. If not, explain why you can’t do so.

(f) It is estimated that 1 in 3,300 women are carriers. Treating this as a known

constant, calculate the sampling ratio τ1/τ0.

(g) Based on your answer to (f), calculate the probability from part (e).

(h) Compare1 the following three numbers: (i) the probability you calculated in (g),

and (ii) the marginal probability of being a carrier (i.e., if you don’t know a

woman’s hemopexin/creatine kinase levels).

2. (20) Consider a binary response variable Y and logistic regression. We focus on the

group Lasso with loss function given by the negative log-likelihood as (see equation

(3.3) in the HDDA book as well)

Write the block coordinate gradient descent algorithm (Algorithm 3 in the HDDA

book) with explicit formulae (see equations (4.20) and (4.21) in the HDDA book,

where 0 < δ < 1, 0 < σ < 1, and ∆[m]

is the improvement in the objective function

Qλ(·) when using a linear approximation for the objective function, i.e.,

联系我们

- QQ：99515681
- 邮箱：99515681@qq.com
- 工作时间：8:00-23:00
- 微信：codinghelp

- Data Visualisation And Analytics Assi... 2019-11-15
- Block Breaker Assignment Game Engine ... 2019-11-15
- Data Visualisation And Analytics 2019 2019-11-15
- Event Driven Computing 2019 Assignment... 2019-11-15
- Fit1043 Assignment 3 2019-11-15
- Event Driven Computing Assignment 3 - ... 2019-11-15
- 代做data Ming作业、代写systematic课程作业、代写r编程语言 2019-11-15
- Cs210留学生作业代做、Java编程语言作业调试、Java课程设计作业代写 2019-11-15
- 代写stat 385作业、代做r程序语言作业、代写r课程设计作业、Progr 2019-11-15
- 代写cpeg 222作业、Java，C/C++程序语言作业调试、Python 2019-11-15
- Ece 547作业代做、代写python编程设计作业、代做networks留 2019-11-15
- Csc8202作业代做、Web编程语言作业代写、代做web、Html课程设计 2019-11-15
- 代写mathematics课程作业、Matlab编程语言作业代做、代写mat 2019-11-15
- 代做pyopencl留学生作业、Python程序设计作业调试、Python实 2019-11-15
- Rtos Kernel作业代做、代写python，C++程序语言作业、代做j 2019-11-14
- Algorithm课程作业代写、代做r课程设计作业、R编程语言作业调试、代写 2019-11-14
- 代做fpu留学生作业、代写python，Java编程设计作业、代写c++语言 2019-11-14
- 代写msc/Icy课程作业、代写software留学生作业、代做java语言 2019-11-14
- Cse105留学生作业代做、Java程序语言作业调试、代做programmi 2019-11-14
- 代写fm 9528留学生作业、代做risk Analytics作业、Java 2019-11-14