SURVIVAL OF PATIENTIt is of interest to determine whether a patient will survive a disease given a dosagelevel of a treatment. Given below is the summary of the dosage levels, number ofindividuals who received each dose level, & the number of individuals who survivedthe disease.Dose No. of Individuals102030405060R codes with Software output:SA No. of individuals who survived> shapiro.test (dose)9611510599111102Shapiro-Wilk normality test> lm (ye~logdose)data: doseW = 0.98189, p-value = 0.9606Coefficients:(Intercept)2.122Call: Im(formula = ye~ logdose)172523295178logdose1.679a.Compute for the percentage of individuals who survived the disease for eachdose level.b.Compute the log of each dose level.C.Determine the empirical probits (ye) for estimating LD50. Finney's table is shownbelow (Finney, 1952): Table 3.2Transformation of percentages to probits123456 7 8 9% 002.67 2.953.12 3.253.52 3.59 3.6610 3.723.77 3.823.87 3.924.05 4.08 4.124.26 4.29403.36 3.453.96 4.0120 4.16 4.19 4.234.33 4.36 4.39 4.42 4.4530 4.48 4.50 4.53 4.50 4.59 4.61 4.64 4.67 4.69 4.724.75 4.77 4.80 4.82 4.85 4.87 4.90 4.92 4.95 4.97505.00 5.03 5.05 5.08 5.10 5.13 5.15 5.18 5.20 5.2360 5.25 5.28 5.31 5.33 5.36 5.39 5.41 5.44 5.47 5.5070 5.52 5.55 5.58 5.61 5.64 5.67 5.71 5.74 5.77 5.8180 5.84 5.88 5.92 5.95 5.99 6.04 6.08 6.13 6.18 6.2390 6.28 6.34 6.41 6.48 6.55 6.64 6.75 6.88 7.05 7.330.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.999 7.33 7.37 7.41 7.40 7.51 7.58 7.65 7.75 7.88 8.09Ref:http://userwww.sfsu.edu/efc/classes/biol710/probit/ProbitAnalysis.pdfd. Fit a linear regression model using the empirical probit as the dependent variableand the log dose level as the independent model - that is, set-up your probitmodel.d. Estimate LD50 using the model constructed.NOTE: For items requiring test of hypotheses, specify the null & alternative hypothesisin words, test procedure, p-value, decision, & conclusion. Use α=0.05

Given the summary of the dosage levels, the number of individuals who received each dose level, and…

SURVIVAL OF PATIENT It is of interest to determine whether a patient will survive a disease given a dosage level of a treatment. Given below is the summary of the dosage levels, number of individuals who received each dose level, & the number of individuals who survived the disease. Dose No. of Individuals No. of individuals who survived 10 20 30 40 50 60 R codes with Software output: 96 115 105 99 > shapiro.test (dose) 111 102 Shapiro-Wilk normality test > lm (ye-logdose) data: dose W = 0.98189, p-value = 0.9606 Coefficients: (Intercept) 2.122 Call: Im(formula = ye ~ logdose) 17 25 23 29 51 78 logdose 1.679 a. Compute for the percentage of individuals who survived the disease for each dose level. b. Compute the log of each dose level. C. Determine the empirical probits (ye) for estimating LD50. Finney's table is shown below (Finney, 1952):

SURVIVAL OF PATIENT It is of interest to determine whether a patient will survive a disease given a dosage level of a treatment. Given below is the summary of the dosage levels, number of individuals who received each dose level, & the number of individuals who survived the disease. Dose No. of Individuals No. of individuals who survived 10 20 30 40 50 60 R codes with Software output: 96 115 105 99 > shapiro.test (dose) 111 102 Shapiro-Wilk normality test > lm (ye-logdose) data: dose W = 0.98189, p-value = 0.9606 Coefficients: (Intercept) 2.122 Call: Im(formula = ye ~ logdose) 17 25 23 29 51 78 logdose 1.679 a. Compute for the percentage of individuals who survived the disease for each dose level. b. Compute the log of each dose level. C. Determine the empirical probits (ye) for estimating LD50. Finney's table is shown below (Finney, 1952):

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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