Serum estradiol is an important risk factor for breast cancer in postmenopausal women. To better understand the etiology of breast cancer, serum-estradiol samples were collected from 25 premenopausal women (at about the same time period of the menstrual cycle) of whom 10 were Caucasian and 15 were African American. Data were collected on both serum estradiol as well as body mass index (BMI) = weight (kg)/height2 (m2), which is an important measure of overall obesity. The data are shown in Table 9.16.The distribution of serum estradiol is usually highly skewed (especially for premenopausal women), and we are reluctant to assume normality. HW Question: What test can we use to compare the distribution of serum estradiol for Caucasian vs. African American women? Implement the test and report a two-tailed p-value based on large sample methodsHere's my approach and I'm not sure if this is correct. I am using the Wilcoxon rank sum test for this problem.Group 1 (African-American): n=15Group 2 (Caucasian): n=10Two tie groups (Range of Ranks 9-10, 11-13)R1=20+5+18+3+4+1+12*3+6+16+15+19+17+24=184E(R1) = 15*(15+10+1)/2 = 195g=2, t1 = 2, t2 = 3Using the test statistic formula for R1 != E(R1) and ties, T= 0.583p-value = 0.5599>0.05.Failed to reject H_0. We conclude that the distribution of serum estradiol is not significantly different between Caucasian and African American women groups. TABLE 9.15 (Weight change, control period) -(weight change, lack-of-consistencyperiod) among 23 adolescentdiabetic boysi123456780A₁-12.6-10.3-5.9-5.4-4.5-2.7-1.8+0.3i910111213141516+2.2+3.5+4.8+5.4+5.8+6.0+6.7+9.617181920212223MeansdnΔ.+11.5+12.2+13.9+14.2+18.0+18.6+21.74.839.33Data set available239.47 Answer the question in Problem 9.45 if we are notwilling to make the assumption of normality.9.48 Implement the test in Problem 9.47, and report a two-tailed p-value.CancerSerum estradiol is an important risk factor for breastcancer in postmenopausal women. To better understandthe etiology of breast cancer, serum-estradiol sampleswere collected from 25 premenopausal women (at aboutthe same time period of the menstrual cycle) of whom10 were Caucasian and 15 were African American. Datawere collected on both serum estradiol as well as bodymass index (BMI) = weight (kg)/height² (m²), which is animportant measure of overall obesity. The data are shownin Table 9.16.The distribution of serum estradiol is usually highly skewed(especially for premenopausal women), and we are reluc-tant to assume normality.9.49 What test can we use to compare the distributionof serum estradiol for Caucasian vs. African Americanwomen?9.50 Implement the test in Problem 9.49, and report a two-tailed p-value based on large sample methods.9.51 Answer the question in Problem 9.50 using permuta-tion test methods.IDTABLE 9.16 Relationship of serum estradiol, BMI,and ethnicity in 25 premenopausalwomen12345678910111213141516171819202122232425Serum estradiol(pg/mL)94543121465618191214253522714335425044412865313591Estradiol rank25209.55182134127126231612151917148229.51224Problems*1 = African-American, 0 = Caucasian.BMI18.919.720.723.423.325.135.626.222.320.421.720.021.021.832.723.624.723.233.920.624.726.320.122.529.1Ethnic group*11100110369111119.53 Suppose we want to compare mean BMI betweenCaucasian and Africa American premenopausal womenbased on the data in the table and are willing to assume thedistribution of BMI is approximately normal. What test canwe use to make this comparison?(Note that for Caucasian women, mean BMI = = 22.0,sd = 2.47, n = 10; for African American women, meanBMI = 25.4, sd = 5.01, n = = 15.)9.54 Implement the test in Problem 9.53, and report a two-tailed p-value.Ophthalmology9.52 Compare your results in Problems 9.50 and 9.51.Another important variable in the epidemiology of breastcancer is BMI, which has been found to be related to both all Refer to Data Set TEAR.DAT at www.cengagebrain.com. Weserum estradiol and ethnicity in previous studies.want to compare tear break-up time (TBUT) immediately afterCopyright 2016 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s).Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it.

Given information: Caucasian African American 94 54 31 21 56 46 14 18 25 19 71 12…

Serum estradiol is an important risk factor for breast cancer in postmenopausal women. To better understand the etiology of breast cancer, serum-estradiol samples were collected from 25 premenopausal women (at about the same time period of the menstrual cycle) of whom 10 were Caucasian and 15 were African American. Data were collected on both serum estradiol as well as body mass index (BMI) = weight (kg)/height2 (m2), which is an important measure of overall obesity. The data are shown in Table 9.16. The distribution of serum estradiol is usually highly skewed (especially for premenopausal women), and we are reluctant to assume normality. HW Question: What test can we use to compare the distribution of serum estradiol for Caucasian vs. African American women? Implement the test and report a two-tailed p-value based on large sample methods Here's my approach and I'm not sure if this is correct. I am using the Wilcoxon rank sum test for this problem. Group 1 (African-American): n=15 Group 2 (Caucasian): n=10 Two tie groups (Range of Ranks 9-10, 11-13) R1=20+5+18+3+4+1+123+6+16+15+19+17+24=184 E(R1) = 15(15+10+1)/2 = 195 g=2, t1 = 2, t2 = 3 Using the test statistic formula for R1 != E(R1) and ties, T= 0.583 p-value = 0.5599>0.05. Failed to reject H_0. We conclude that the distribution of serum estradiol is not significantly different between Caucasian and African American women groups

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P