Question: Assume that X -sample has or observations and Y -sample has n observations. Denote by W = W2 the sum of the ranks of Y

Assume that X -sample has or observations and Y -sample has n observations. Denote by W = W2 the sum of the ranks of Y -sample (W-R-S statistic). (a) Find the maximum possible value of W, call it Wlm . (b) What is the minimum possible value of W , call it W . '? [111" (c) Suppose no ties in the combined data set and all of the X - observations are bigger than Y - observations. What is the one-sided p -value associated with the permutation test? (d) Suppose you reject the null hypothesis (H0) if W = n(2m + n +1)!2 or W = 3101 +1)/2 , and you accept H 0 otherwise. What is the significance level (a ) for this test

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

X-Y S1/m+1/n 10. Assume that X -sample has m observations: X, X2,..., Xm, and Y -sample has n observations: Y,2,..., Y. Denote by X,Y, S, S% the means and the variances of X -sample and Y -sample,...

A case study that deals with the effect of prior reputation on the evaluation of an instructor is presented in Question 11.1 in the book (Section 11.5). Students were exposed to either one of two...

Set Student Name: 1. Answer true or false for each part, and if false, explain your answer. a. The point estimate for the population mean, , of an x distribution is x-bar, computed from a random...

Instuctor's Annotated Edition TENTH EDITION Understandable Statistics Concepts and Methods Charles Henry Brase Regis University Corrinne Pellillo Brase Arapahoe Community College Australia Brazil...

all information that i have:- please help me:- Baby weight and smoking Smoking during pregnancy is a known cause of reduced infant birth weight and other issues that can affect the delivery and...

need correct answer:- Baby weight and smoking Smoking during pregnancy is a known cause of reduced infant birth weight and other issues that can affect the delivery and mortality. Despite this strong...

need correct solutions:-- Tanning experiment Suppose the tanning experiment described in Examples 1 and 2 used only four participants, two for each treatment. a. Show the six possible ways the four...

thanks in advance :- \fUse all data on cell phones Refer to the exercise 1. When we use the data for all 32 subjects, MINITAB reports results in the following for the Wilcoxon signed-ranks test....

1. Calculate the sample size needed given these factors: one-tailed t-test with two independent groups of equal size small effect size (see Piasta, S.B., & Justice, L.M., 2010) alpha =.05 beta = .2...

1.For the following pairs, indicate which do not comply with the rules for setting up hypotheses, and explain why. (Select all that apply.) (a) H 0 : = 12, H a : = 12 This pair complies. This pair...

Describe a problem or challenge you had to resolve at school, work, or in your personal life (or elsewhere) and how you went about it. What options did you consider and how did it turn out?

Consider the nuclear fission Ne 20 ?2He 4 + C 12 Given that the binding energy/ nucleon of Ne 20 , He 4 and C 12 are 8.03 MeV, 7.07 MeV and 7.86 MeV respectively. Identify the correct statement. (a)...

if person wish to know about bonds with greater convexity when it gain more? a . when yield is zero, b . when yields fall, c . when yield is 5 , d . securities with 1 0 0 days time

Topic is an Internet Cafe :a campaign in public relations or advertising Slogan "Internet for one and all." BUSINESS: the creation of a unique, innovative, upscale atmosphere that will differentiate...

2. Provide new information and before 20 seconds have elapsed, add more infor-mation. The initial information will then be lost from memory for most people.

7. What is the extent (percentage) of errors detected in the information collected?

8. What are the costs of collecting the information?